TSTP Solution File: KLE093+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KLE093+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 01:51:20 EDT 2022
% Result : Theorem 26.39s 7.55s
% Output : Proof 66.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE093+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 12:58:09 EDT 2022
% 0.18/0.34 % CPUTime :
% 0.55/0.58 ____ _
% 0.55/0.58 ___ / __ \_____(_)___ ________ __________
% 0.55/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.58
% 0.55/0.58 A Theorem Prover for First-Order Logic
% 0.55/0.58 (ePrincess v.1.0)
% 0.55/0.58
% 0.55/0.58 (c) Philipp Rümmer, 2009-2015
% 0.55/0.58 (c) Peter Backeman, 2014-2015
% 0.55/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.58 Bug reports to peter@backeman.se
% 0.55/0.58
% 0.55/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.58
% 0.55/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.55/0.93 Prover 0: Preprocessing ...
% 2.38/1.20 Prover 0: Constructing countermodel ...
% 19.77/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.77/5.96 Prover 1: Preprocessing ...
% 20.18/6.06 Prover 1: Constructing countermodel ...
% 21.13/6.28 Prover 1: gave up
% 21.13/6.28 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 21.13/6.30 Prover 2: Preprocessing ...
% 21.58/6.35 Prover 2: Warning: ignoring some quantifiers
% 21.58/6.35 Prover 2: Constructing countermodel ...
% 26.39/7.55 Prover 2: proved (1263ms)
% 26.39/7.55 Prover 0: stopped
% 26.39/7.55
% 26.39/7.55 No countermodel exists, formula is valid
% 26.39/7.55 % SZS status Theorem for theBenchmark
% 26.39/7.55
% 26.39/7.55 Generating proof ... Warning: ignoring some quantifiers
% 65.12/27.98 found it (size 953)
% 65.12/27.98
% 65.12/27.98 % SZS output start Proof for theBenchmark
% 65.12/27.98 Assumed formulas after preprocessing and simplification:
% 65.12/27.98 | (0) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = one) & domain(v1) = v2 & domain(zero) = zero & star(v0) = v1 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (star(v4) = v6) | ~ (leq(v7, v3) = v8) | ~ (multiplication(v5, v6) = v7) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & leq(v10, v3) = v11 & multiplication(v3, v4) = v9 & addition(v9, v5) = v10)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (star(v3) = v6) | ~ (leq(v7, v4) = v8) | ~ (multiplication(v6, v5) = v7) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & leq(v10, v4) = v11 & multiplication(v3, v4) = v9 & addition(v9, v5) = v10)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v4, v5) = v7) | ~ (multiplication(v3, v5) = v6) | ~ (addition(v6, v7) = v8) | ? [v9] : (multiplication(v9, v5) = v8 & addition(v3, v4) = v9)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v3, v5) = v7) | ~ (multiplication(v3, v4) = v6) | ~ (addition(v6, v7) = v8) | ? [v9] : (multiplication(v3, v9) = v8 & addition(v4, v5) = v9)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (domain(v4) = v6) | ~ (domain(v3) = v5) | ~ (addition(v5, v6) = v7) | ? [v8] : (domain(v8) = v7 & addition(v3, v4) = v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v6, v5) = v7) | ~ (multiplication(v3, v4) = v6) | ? [v8] : (multiplication(v4, v5) = v8 & multiplication(v3, v8) = v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v6, v5) = v7) | ~ (addition(v3, v4) = v6) | ? [v8] : ? [v9] : (multiplication(v4, v5) = v9 & multiplication(v3, v5) = v8 & addition(v8, v9) = v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v4, v5) = v6) | ~ (multiplication(v3, v6) = v7) | ? [v8] : (multiplication(v8, v5) = v7 & multiplication(v3, v4) = v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v3, v6) = v7) | ~ (addition(v4, v5) = v6) | ? [v8] : ? [v9] : (multiplication(v3, v5) = v9 & multiplication(v3, v4) = v8 & addition(v8, v9) = v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v3, v4) = v6) | ~ (addition(v6, v5) = v7) | ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & star(v4) = v8 & leq(v9, v3) = 0 & multiplication(v5, v8) = v9) | ( ~ (v8 = 0) & leq(v7, v3) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v3, v4) = v6) | ~ (addition(v6, v5) = v7) | ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & star(v3) = v8 & leq(v9, v4) = 0 & multiplication(v8, v5) = v9) | ( ~ (v8 = 0) & leq(v7, v4) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (addition(v6, v3) = v7) | ~ (addition(v5, v4) = v6) | ? [v8] : (addition(v5, v8) = v7 & addition(v4, v3) = v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (addition(v5, v6) = v7) | ~ (addition(v4, v3) = v6) | ? [v8] : (addition(v8, v3) = v7 & addition(v5, v4) = v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (leq(v6, v5) = v4) | ~ (leq(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (multiplication(v6, v5) = v4) | ~ (multiplication(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (addition(v6, v5) = v4) | ~ (addition(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (domain(v4) = v5) | ~ (multiplication(v3, v5) = v6) | ? [v7] : ? [v8] : (domain(v7) = v8 & domain(v6) = v8 & multiplication(v3, v4) = v7)) & ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (addition(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & leq(v3, v4) = v6)) & ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v3, v4) = v5) | ? [v6] : ( ~ (v6 = v4) & addition(v3, v4) = v6)) & ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (domain(v5) = v4) | ~ (domain(v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (star(v5) = v4) | ~ (star(v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (domain(v8) = v6 & domain(v5) = v6 & domain(v4) = v7 & multiplication(v3, v7) = v8)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (addition(v4, v3) = v5) | addition(v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (addition(v3, v4) = v5) | addition(v4, v3) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (addition(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (domain(v5) = v6 & domain(v4) = v8 & domain(v3) = v7 & addition(v7, v8) = v6)) & ! [v3] : ! [v4] : (v4 = v3 | ~ (multiplication(v3, one) = v4)) & ! [v3] : ! [v4] : (v4 = v3 | ~ (multiplication(one, v3) = v4)) & ! [v3] : ! [v4] : (v4 = v3 | ~ (addition(v3, v3) = v4)) & ! [v3] : ! [v4] : (v4 = v3 | ~ (addition(v3, zero) = v4)) & ! [v3] : ! [v4] : (v4 = zero | ~ (multiplication(v3, zero) = v4)) & ! [v3] : ! [v4] : (v4 = zero | ~ (multiplication(zero, v3) = v4)) & ! [v3] : ! [v4] : ( ~ (domain(v3) = v4) | addition(v4, one) = one) & ! [v3] : ! [v4] : ( ~ (domain(v3) = v4) | ? [v5] : (multiplication(v4, v3) = v5 & addition(v3, v5) = v5)) & ! [v3] : ! [v4] : ( ~ (star(v3) = v4) | ? [v5] : ? [v6] : (leq(v6, v4) = 0 & multiplication(v4, v3) = v5 & addition(one, v5) = v6)) & ! [v3] : ! [v4] : ( ~ (star(v3) = v4) | ? [v5] : ? [v6] : (leq(v6, v4) = 0 & multiplication(v3, v4) = v5 & addition(one, v5) = v6)) & ! [v3] : ! [v4] : ( ~ (leq(v3, v4) = 0) | addition(v3, v4) = v4) & ! [v3] : ! [v4] : ( ~ (addition(v3, v4) = v4) | leq(v3, v4) = 0) & ? [v3] : ? [v4] : ? [v5] : leq(v4, v3) = v5 & ? [v3] : ? [v4] : ? [v5] : multiplication(v4, v3) = v5 & ? [v3] : ? [v4] : ? [v5] : addition(v4, v3) = v5 & ? [v3] : ? [v4] : domain(v3) = v4 & ? [v3] : ? [v4] : star(v3) = v4)
% 65.42/28.03 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 65.42/28.03 | (1) ~ (all_0_0_0 = one) & domain(all_0_1_1) = all_0_0_0 & domain(zero) = zero & star(all_0_2_2) = all_0_1_1 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v1) = v3) | ~ (leq(v4, v0) = v5) | ~ (multiplication(v2, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v0) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v0) = v3) | ~ (leq(v4, v1) = v5) | ~ (multiplication(v3, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v1) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v1, v2) = v4) | ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (domain(v1) = v3) | ~ (domain(v0) = v2) | ~ (addition(v2, v3) = v4) | ? [v5] : (domain(v5) = v4 & addition(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ? [v5] : ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ? [v5] : ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & star(v1) = v5 & leq(v6, v0) = 0 & multiplication(v2, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & star(v0) = v5 & leq(v6, v1) = 0 & multiplication(v5, v2) = v6) | ( ~ (v5 = 0) & leq(v4, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (domain(v1) = v2) | ~ (multiplication(v0, v2) = v3) | ? [v4] : ? [v5] : (domain(v4) = v5 & domain(v3) = v5 & multiplication(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (domain(v2) = v1) | ~ (domain(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (domain(v5) = v3 & domain(v2) = v3 & domain(v1) = v4 & multiplication(v0, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (domain(v2) = v3 & domain(v1) = v5 & domain(v0) = v4 & addition(v4, v5) = v3)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (domain(v0) = v1) | addition(v1, one) = one) & ! [v0] : ! [v1] : ( ~ (domain(v0) = v1) | ? [v2] : (multiplication(v1, v0) = v2 & addition(v0, v2) = v2)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v1, v0) = v2 & addition(one, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v0, v1) = v2 & addition(one, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0) & ? [v0] : ? [v1] : ? [v2] : leq(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : multiplication(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : addition(v1, v0) = v2 & ? [v0] : ? [v1] : domain(v0) = v1 & ? [v0] : ? [v1] : star(v0) = v1
% 65.42/28.04 |
% 65.42/28.04 | Applying alpha-rule on (1) yields:
% 65.42/28.04 | (2) ! [v0] : ! [v1] : ( ~ (domain(v0) = v1) | ? [v2] : (multiplication(v1, v0) = v2 & addition(v0, v2) = v2))
% 65.42/28.04 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0))
% 65.42/28.05 | (4) ? [v0] : ? [v1] : star(v0) = v1
% 65.42/28.05 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3))
% 65.42/28.05 | (6) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 65.42/28.05 | (7) ! [v0] : ! [v1] : ( ~ (domain(v0) = v1) | addition(v1, one) = one)
% 65.42/28.05 | (8) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1))
% 65.42/28.05 | (9) ~ (all_0_0_0 = one)
% 65.42/28.05 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v1) = v3) | ~ (leq(v4, v0) = v5) | ~ (multiplication(v2, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v0) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7))
% 65.42/28.05 | (11) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1))
% 65.42/28.05 | (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))
% 65.42/28.05 | (13) domain(all_0_1_1) = all_0_0_0
% 65.42/28.05 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (domain(v5) = v3 & domain(v2) = v3 & domain(v1) = v4 & multiplication(v0, v4) = v5))
% 65.42/28.05 | (15) star(all_0_2_2) = all_0_1_1
% 65.42/28.05 | (16) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1))
% 65.42/28.05 | (17) ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0)
% 65.42/28.05 | (18) ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1)
% 65.42/28.05 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5))
% 65.42/28.05 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 65.42/28.05 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0))
% 65.42/28.05 | (22) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (domain(v2) = v1) | ~ (domain(v2) = v0))
% 65.42/28.05 | (23) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1))
% 65.42/28.05 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0))
% 65.42/28.05 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & star(v1) = v5 & leq(v6, v0) = 0 & multiplication(v2, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v0) = v5)))
% 65.42/28.05 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (domain(v1) = v3) | ~ (domain(v0) = v2) | ~ (addition(v2, v3) = v4) | ? [v5] : (domain(v5) = v4 & addition(v0, v1) = v5))
% 65.42/28.05 | (27) ? [v0] : ? [v1] : ? [v2] : addition(v1, v0) = v2
% 65.42/28.05 | (28) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v1, v0) = v2 & addition(one, v2) = v3))
% 65.42/28.05 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (domain(v1) = v2) | ~ (multiplication(v0, v2) = v3) | ? [v4] : ? [v5] : (domain(v4) = v5 & domain(v3) = v5 & multiplication(v0, v1) = v4))
% 65.42/28.05 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (domain(v2) = v3 & domain(v1) = v5 & domain(v0) = v4 & addition(v4, v5) = v3))
% 65.42/28.05 | (31) ! [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))
% 65.42/28.05 | (32) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v0, v1) = v2 & addition(one, v2) = v3))
% 65.42/28.05 | (33) ? [v0] : ? [v1] : ? [v2] : leq(v1, v0) = v2
% 65.42/28.05 | (34) ! [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))
% 65.42/28.05 | (35) domain(zero) = zero
% 65.42/28.05 | (36) ! [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))
% 65.42/28.06 | (37) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1))
% 65.42/28.06 | (38) ? [v0] : ? [v1] : ? [v2] : multiplication(v1, v0) = v2
% 65.42/28.06 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5))
% 65.42/28.06 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v0) = v3) | ~ (leq(v4, v1) = v5) | ~ (multiplication(v3, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v1) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7))
% 65.42/28.06 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2)
% 65.42/28.06 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2)
% 65.42/28.06 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4))
% 65.42/28.06 | (44) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1))
% 65.42/28.06 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5))
% 65.42/28.06 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & star(v0) = v5 & leq(v6, v1) = 0 & multiplication(v5, v2) = v6) | ( ~ (v5 = 0) & leq(v4, v1) = v5)))
% 65.42/28.06 | (47) ? [v0] : ? [v1] : domain(v0) = v1
% 65.42/28.06 |
% 65.42/28.06 | Instantiating formula (7) with all_0_0_0, all_0_1_1 and discharging atoms domain(all_0_1_1) = all_0_0_0, yields:
% 65.42/28.06 | (48) addition(all_0_0_0, one) = one
% 65.42/28.06 |
% 65.42/28.06 | Instantiating formula (2) with all_0_0_0, all_0_1_1 and discharging atoms domain(all_0_1_1) = all_0_0_0, yields:
% 65.42/28.06 | (49) ? [v0] : (multiplication(all_0_0_0, all_0_1_1) = v0 & addition(all_0_1_1, v0) = v0)
% 65.42/28.06 |
% 65.42/28.06 | Instantiating formula (7) with zero, zero and discharging atoms domain(zero) = zero, yields:
% 65.42/28.06 | (50) addition(zero, one) = one
% 65.42/28.06 |
% 65.42/28.06 | Instantiating formula (2) with zero, zero and discharging atoms domain(zero) = zero, yields:
% 65.42/28.06 | (51) ? [v0] : (multiplication(zero, zero) = v0 & addition(zero, v0) = v0)
% 65.42/28.06 |
% 65.42/28.06 | Instantiating formula (28) with all_0_1_1, all_0_2_2 and discharging atoms star(all_0_2_2) = all_0_1_1, yields:
% 65.42/28.06 | (52) ? [v0] : ? [v1] : (leq(v1, all_0_1_1) = 0 & multiplication(all_0_1_1, all_0_2_2) = v0 & addition(one, v0) = v1)
% 65.42/28.06 |
% 65.42/28.06 | Instantiating formula (32) with all_0_1_1, all_0_2_2 and discharging atoms star(all_0_2_2) = all_0_1_1, yields:
% 65.42/28.06 | (53) ? [v0] : ? [v1] : (leq(v1, all_0_1_1) = 0 & multiplication(all_0_2_2, all_0_1_1) = v0 & addition(one, v0) = v1)
% 65.42/28.06 |
% 65.42/28.06 | Instantiating (53) with all_19_0_16, all_19_1_17 yields:
% 65.42/28.06 | (54) leq(all_19_0_16, all_0_1_1) = 0 & multiplication(all_0_2_2, all_0_1_1) = all_19_1_17 & addition(one, all_19_1_17) = all_19_0_16
% 65.42/28.06 |
% 65.42/28.06 | Applying alpha-rule on (54) yields:
% 65.42/28.06 | (55) leq(all_19_0_16, all_0_1_1) = 0
% 65.42/28.06 | (56) multiplication(all_0_2_2, all_0_1_1) = all_19_1_17
% 65.42/28.06 | (57) addition(one, all_19_1_17) = all_19_0_16
% 65.42/28.06 |
% 65.42/28.06 | Instantiating (51) with all_21_0_18 yields:
% 65.42/28.06 | (58) multiplication(zero, zero) = all_21_0_18 & addition(zero, all_21_0_18) = all_21_0_18
% 65.42/28.06 |
% 65.42/28.06 | Applying alpha-rule on (58) yields:
% 65.42/28.06 | (59) multiplication(zero, zero) = all_21_0_18
% 65.42/28.06 | (60) addition(zero, all_21_0_18) = all_21_0_18
% 65.42/28.06 |
% 65.42/28.06 | Instantiating (52) with all_23_0_19, all_23_1_20 yields:
% 65.42/28.06 | (61) leq(all_23_0_19, all_0_1_1) = 0 & multiplication(all_0_1_1, all_0_2_2) = all_23_1_20 & addition(one, all_23_1_20) = all_23_0_19
% 65.42/28.06 |
% 65.42/28.06 | Applying alpha-rule on (61) yields:
% 65.42/28.06 | (62) leq(all_23_0_19, all_0_1_1) = 0
% 65.42/28.06 | (63) multiplication(all_0_1_1, all_0_2_2) = all_23_1_20
% 65.42/28.06 | (64) addition(one, all_23_1_20) = all_23_0_19
% 65.42/28.06 |
% 65.42/28.06 | Instantiating (49) with all_25_0_21 yields:
% 65.42/28.06 | (65) multiplication(all_0_0_0, all_0_1_1) = all_25_0_21 & addition(all_0_1_1, all_25_0_21) = all_25_0_21
% 65.42/28.06 |
% 65.42/28.06 | Applying alpha-rule on (65) yields:
% 65.42/28.06 | (66) multiplication(all_0_0_0, all_0_1_1) = all_25_0_21
% 65.42/28.06 | (67) addition(all_0_1_1, all_25_0_21) = all_25_0_21
% 65.42/28.06 |
% 65.42/28.06 | Instantiating formula (11) with all_21_0_18, zero and discharging atoms multiplication(zero, zero) = all_21_0_18, yields:
% 65.42/28.06 | (68) all_21_0_18 = zero
% 65.42/28.06 |
% 65.42/28.06 | From (68) and (59) follows:
% 65.42/28.06 | (69) multiplication(zero, zero) = zero
% 65.42/28.06 |
% 65.42/28.06 | From (68)(68) and (60) follows:
% 65.42/28.06 | (70) addition(zero, zero) = zero
% 65.42/28.06 |
% 65.42/28.07 | Instantiating formula (18) with all_0_1_1, all_23_0_19 and discharging atoms leq(all_23_0_19, all_0_1_1) = 0, yields:
% 65.42/28.07 | (71) addition(all_23_0_19, all_0_1_1) = all_0_1_1
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (18) with all_0_1_1, all_19_0_16 and discharging atoms leq(all_19_0_16, all_0_1_1) = 0, yields:
% 65.42/28.07 | (72) addition(all_19_0_16, all_0_1_1) = all_0_1_1
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (14) with all_25_0_21, all_0_1_1, all_0_0_0 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_25_0_21, yields:
% 65.42/28.07 | (73) ? [v0] : ? [v1] : ? [v2] : (domain(v2) = v0 & domain(all_25_0_21) = v0 & domain(all_0_1_1) = v1 & multiplication(all_0_0_0, v1) = v2)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (14) with all_23_1_20, all_0_2_2, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_23_1_20, yields:
% 65.42/28.07 | (74) ? [v0] : ? [v1] : ? [v2] : (domain(v2) = v0 & domain(all_23_1_20) = v0 & domain(all_0_2_2) = v1 & multiplication(all_0_1_1, v1) = v2)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (14) with all_19_1_17, all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_19_1_17, yields:
% 65.42/28.07 | (75) ? [v0] : ? [v1] : ? [v2] : (domain(v2) = v0 & domain(all_19_1_17) = v0 & domain(all_0_1_1) = v1 & multiplication(all_0_2_2, v1) = v2)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (39) with one, one, all_0_0_0, all_0_0_0, one and discharging atoms addition(all_0_0_0, one) = one, yields:
% 65.42/28.07 | (76) ? [v0] : (addition(v0, one) = one & addition(all_0_0_0, all_0_0_0) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (42) with one, all_0_0_0, one and discharging atoms addition(all_0_0_0, one) = one, yields:
% 65.42/28.07 | (77) addition(one, all_0_0_0) = one
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (30) with one, one, all_0_0_0 and discharging atoms addition(all_0_0_0, one) = one, yields:
% 65.42/28.07 | (78) ? [v0] : ? [v1] : ? [v2] : (domain(all_0_0_0) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (39) with all_25_0_21, all_25_0_21, all_0_1_1, all_0_1_1, all_25_0_21 and discharging atoms addition(all_0_1_1, all_25_0_21) = all_25_0_21, yields:
% 65.42/28.07 | (79) ? [v0] : (addition(v0, all_25_0_21) = all_25_0_21 & addition(all_0_1_1, all_0_1_1) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (42) with all_25_0_21, all_0_1_1, all_25_0_21 and discharging atoms addition(all_0_1_1, all_25_0_21) = all_25_0_21, yields:
% 65.42/28.07 | (80) addition(all_25_0_21, all_0_1_1) = all_25_0_21
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (30) with all_25_0_21, all_25_0_21, all_0_1_1 and discharging atoms addition(all_0_1_1, all_25_0_21) = all_25_0_21, yields:
% 65.42/28.07 | (81) ? [v0] : ? [v1] : ? [v2] : (domain(all_25_0_21) = v2 & domain(all_25_0_21) = v0 & domain(all_0_1_1) = v1 & addition(v1, v2) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (19) with all_23_0_19, one, all_0_0_0, one, all_23_1_20 and discharging atoms addition(all_0_0_0, one) = one, addition(one, all_23_1_20) = all_23_0_19, yields:
% 65.42/28.07 | (82) ? [v0] : (addition(all_0_0_0, v0) = all_23_0_19 & addition(one, all_23_1_20) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (42) with all_23_0_19, one, all_23_1_20 and discharging atoms addition(one, all_23_1_20) = all_23_0_19, yields:
% 65.42/28.07 | (83) addition(all_23_1_20, one) = all_23_0_19
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (30) with all_23_0_19, all_23_1_20, one and discharging atoms addition(one, all_23_1_20) = all_23_0_19, yields:
% 65.42/28.07 | (84) ? [v0] : ? [v1] : ? [v2] : (domain(all_23_0_19) = v0 & domain(all_23_1_20) = v2 & domain(one) = v1 & addition(v1, v2) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (19) with all_19_0_16, one, all_0_0_0, one, all_19_1_17 and discharging atoms addition(all_0_0_0, one) = one, addition(one, all_19_1_17) = all_19_0_16, yields:
% 65.42/28.07 | (85) ? [v0] : (addition(all_0_0_0, v0) = all_19_0_16 & addition(one, all_19_1_17) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (42) with all_19_0_16, one, all_19_1_17 and discharging atoms addition(one, all_19_1_17) = all_19_0_16, yields:
% 65.42/28.07 | (86) addition(all_19_1_17, one) = all_19_0_16
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (30) with all_19_0_16, all_19_1_17, one and discharging atoms addition(one, all_19_1_17) = all_19_0_16, yields:
% 65.42/28.07 | (87) ? [v0] : ? [v1] : ? [v2] : (domain(all_19_0_16) = v0 & domain(all_19_1_17) = v2 & domain(one) = v1 & addition(v1, v2) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (39) with one, one, zero, all_0_0_0, one and discharging atoms addition(all_0_0_0, one) = one, addition(zero, one) = one, yields:
% 65.42/28.07 | (88) ? [v0] : (addition(v0, one) = one & addition(zero, all_0_0_0) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (39) with one, one, all_0_0_0, zero, one and discharging atoms addition(all_0_0_0, one) = one, addition(zero, one) = one, yields:
% 65.42/28.07 | (89) ? [v0] : (addition(v0, one) = one & addition(all_0_0_0, zero) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (19) with all_23_0_19, one, zero, one, all_23_1_20 and discharging atoms addition(one, all_23_1_20) = all_23_0_19, addition(zero, one) = one, yields:
% 65.42/28.07 | (90) ? [v0] : (addition(one, all_23_1_20) = v0 & addition(zero, v0) = all_23_0_19)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (19) with all_19_0_16, one, zero, one, all_19_1_17 and discharging atoms addition(one, all_19_1_17) = all_19_0_16, addition(zero, one) = one, yields:
% 65.42/28.07 | (91) ? [v0] : (addition(one, all_19_1_17) = v0 & addition(zero, v0) = all_19_0_16)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (42) with one, zero, one and discharging atoms addition(zero, one) = one, yields:
% 65.42/28.07 | (92) addition(one, zero) = one
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (30) with one, one, zero and discharging atoms addition(zero, one) = one, yields:
% 65.42/28.07 | (93) ? [v0] : ? [v1] : ? [v2] : (domain(one) = v2 & domain(one) = v0 & domain(zero) = v1 & addition(v1, v2) = v0)
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (25) with zero, zero, zero, zero, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, zero) = zero, yields:
% 65.42/28.07 | (94) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(zero) = v0 & leq(v1, zero) = 0 & multiplication(zero, v0) = v1) | ( ~ (v0 = 0) & leq(zero, zero) = v0))
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (46) with zero, zero, zero, zero, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, zero) = zero, yields:
% 65.42/28.07 | (95) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(zero) = v0 & leq(v1, zero) = 0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(zero, zero) = v0))
% 65.42/28.07 |
% 65.42/28.07 | Instantiating formula (17) with zero, zero and discharging atoms addition(zero, zero) = zero, yields:
% 65.42/28.07 | (96) leq(zero, zero) = 0
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (74) with all_37_0_22, all_37_1_23, all_37_2_24 yields:
% 65.42/28.08 | (97) domain(all_37_0_22) = all_37_2_24 & domain(all_23_1_20) = all_37_2_24 & domain(all_0_2_2) = all_37_1_23 & multiplication(all_0_1_1, all_37_1_23) = all_37_0_22
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (97) yields:
% 65.42/28.08 | (98) domain(all_37_0_22) = all_37_2_24
% 65.42/28.08 | (99) domain(all_23_1_20) = all_37_2_24
% 65.42/28.08 | (100) domain(all_0_2_2) = all_37_1_23
% 65.42/28.08 | (101) multiplication(all_0_1_1, all_37_1_23) = all_37_0_22
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (73) with all_39_0_25, all_39_1_26, all_39_2_27 yields:
% 65.42/28.08 | (102) domain(all_39_0_25) = all_39_2_27 & domain(all_25_0_21) = all_39_2_27 & domain(all_0_1_1) = all_39_1_26 & multiplication(all_0_0_0, all_39_1_26) = all_39_0_25
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (102) yields:
% 65.42/28.08 | (103) domain(all_39_0_25) = all_39_2_27
% 65.42/28.08 | (104) domain(all_25_0_21) = all_39_2_27
% 65.42/28.08 | (105) domain(all_0_1_1) = all_39_1_26
% 65.42/28.08 | (106) multiplication(all_0_0_0, all_39_1_26) = all_39_0_25
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (90) with all_41_0_28 yields:
% 65.42/28.08 | (107) addition(one, all_23_1_20) = all_41_0_28 & addition(zero, all_41_0_28) = all_23_0_19
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (107) yields:
% 65.42/28.08 | (108) addition(one, all_23_1_20) = all_41_0_28
% 65.42/28.08 | (109) addition(zero, all_41_0_28) = all_23_0_19
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (79) with all_43_0_29 yields:
% 65.42/28.08 | (110) addition(all_43_0_29, all_25_0_21) = all_25_0_21 & addition(all_0_1_1, all_0_1_1) = all_43_0_29
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (110) yields:
% 65.42/28.08 | (111) addition(all_43_0_29, all_25_0_21) = all_25_0_21
% 65.42/28.08 | (112) addition(all_0_1_1, all_0_1_1) = all_43_0_29
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (89) with all_45_0_30 yields:
% 65.42/28.08 | (113) addition(all_45_0_30, one) = one & addition(all_0_0_0, zero) = all_45_0_30
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (113) yields:
% 65.42/28.08 | (114) addition(all_45_0_30, one) = one
% 65.42/28.08 | (115) addition(all_0_0_0, zero) = all_45_0_30
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (78) with all_47_0_31, all_47_1_32, all_47_2_33 yields:
% 65.42/28.08 | (116) domain(all_0_0_0) = all_47_1_32 & domain(one) = all_47_0_31 & domain(one) = all_47_2_33 & addition(all_47_1_32, all_47_0_31) = all_47_2_33
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (116) yields:
% 65.42/28.08 | (117) domain(all_0_0_0) = all_47_1_32
% 65.42/28.08 | (118) domain(one) = all_47_0_31
% 65.42/28.08 | (119) domain(one) = all_47_2_33
% 65.42/28.08 | (120) addition(all_47_1_32, all_47_0_31) = all_47_2_33
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (88) with all_49_0_34 yields:
% 65.42/28.08 | (121) addition(all_49_0_34, one) = one & addition(zero, all_0_0_0) = all_49_0_34
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (121) yields:
% 65.42/28.08 | (122) addition(all_49_0_34, one) = one
% 65.42/28.08 | (123) addition(zero, all_0_0_0) = all_49_0_34
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (93) with all_52_0_38, all_52_1_39, all_52_2_40 yields:
% 65.42/28.08 | (124) domain(one) = all_52_0_38 & domain(one) = all_52_2_40 & domain(zero) = all_52_1_39 & addition(all_52_1_39, all_52_0_38) = all_52_2_40
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (124) yields:
% 65.42/28.08 | (125) domain(one) = all_52_0_38
% 65.42/28.08 | (126) domain(one) = all_52_2_40
% 65.42/28.08 | (127) domain(zero) = all_52_1_39
% 65.42/28.08 | (128) addition(all_52_1_39, all_52_0_38) = all_52_2_40
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (91) with all_54_0_41 yields:
% 65.42/28.08 | (129) addition(one, all_19_1_17) = all_54_0_41 & addition(zero, all_54_0_41) = all_19_0_16
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (129) yields:
% 65.42/28.08 | (130) addition(one, all_19_1_17) = all_54_0_41
% 65.42/28.08 | (131) addition(zero, all_54_0_41) = all_19_0_16
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (87) with all_56_0_42, all_56_1_43, all_56_2_44 yields:
% 65.42/28.08 | (132) domain(all_19_0_16) = all_56_2_44 & domain(all_19_1_17) = all_56_0_42 & domain(one) = all_56_1_43 & addition(all_56_1_43, all_56_0_42) = all_56_2_44
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (132) yields:
% 65.42/28.08 | (133) domain(all_19_0_16) = all_56_2_44
% 65.42/28.08 | (134) domain(all_19_1_17) = all_56_0_42
% 65.42/28.08 | (135) domain(one) = all_56_1_43
% 65.42/28.08 | (136) addition(all_56_1_43, all_56_0_42) = all_56_2_44
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (82) with all_58_0_45 yields:
% 65.42/28.08 | (137) addition(all_0_0_0, all_58_0_45) = all_23_0_19 & addition(one, all_23_1_20) = all_58_0_45
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (137) yields:
% 65.42/28.08 | (138) addition(all_0_0_0, all_58_0_45) = all_23_0_19
% 65.42/28.08 | (139) addition(one, all_23_1_20) = all_58_0_45
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (81) with all_60_0_46, all_60_1_47, all_60_2_48 yields:
% 65.42/28.08 | (140) domain(all_25_0_21) = all_60_0_46 & domain(all_25_0_21) = all_60_2_48 & domain(all_0_1_1) = all_60_1_47 & addition(all_60_1_47, all_60_0_46) = all_60_2_48
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (140) yields:
% 65.42/28.08 | (141) domain(all_25_0_21) = all_60_0_46
% 65.42/28.08 | (142) domain(all_25_0_21) = all_60_2_48
% 65.42/28.08 | (143) domain(all_0_1_1) = all_60_1_47
% 65.42/28.08 | (144) addition(all_60_1_47, all_60_0_46) = all_60_2_48
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (76) with all_62_0_49 yields:
% 65.42/28.08 | (145) addition(all_62_0_49, one) = one & addition(all_0_0_0, all_0_0_0) = all_62_0_49
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (145) yields:
% 65.42/28.08 | (146) addition(all_62_0_49, one) = one
% 65.42/28.08 | (147) addition(all_0_0_0, all_0_0_0) = all_62_0_49
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (75) with all_65_0_53, all_65_1_54, all_65_2_55 yields:
% 65.42/28.08 | (148) domain(all_65_0_53) = all_65_2_55 & domain(all_19_1_17) = all_65_2_55 & domain(all_0_1_1) = all_65_1_54 & multiplication(all_0_2_2, all_65_1_54) = all_65_0_53
% 65.42/28.08 |
% 65.42/28.08 | Applying alpha-rule on (148) yields:
% 65.42/28.08 | (149) domain(all_65_0_53) = all_65_2_55
% 65.42/28.08 | (150) domain(all_19_1_17) = all_65_2_55
% 65.42/28.08 | (151) domain(all_0_1_1) = all_65_1_54
% 65.42/28.08 | (152) multiplication(all_0_2_2, all_65_1_54) = all_65_0_53
% 65.42/28.08 |
% 65.42/28.08 | Instantiating (95) with all_67_0_56, all_67_1_57, all_67_2_58 yields:
% 65.42/28.08 | (153) (all_67_0_56 = 0 & star(zero) = all_67_2_58 & leq(all_67_1_57, zero) = 0 & multiplication(all_67_2_58, zero) = all_67_1_57) | ( ~ (all_67_2_58 = 0) & leq(zero, zero) = all_67_2_58)
% 65.42/28.08 |
% 65.42/28.09 | Instantiating (85) with all_68_0_59 yields:
% 65.42/28.09 | (154) addition(all_0_0_0, all_68_0_59) = all_19_0_16 & addition(one, all_19_1_17) = all_68_0_59
% 65.42/28.09 |
% 65.42/28.09 | Applying alpha-rule on (154) yields:
% 65.42/28.09 | (155) addition(all_0_0_0, all_68_0_59) = all_19_0_16
% 65.42/28.09 | (156) addition(one, all_19_1_17) = all_68_0_59
% 65.42/28.09 |
% 65.42/28.09 | Instantiating (84) with all_70_0_60, all_70_1_61, all_70_2_62 yields:
% 65.42/28.09 | (157) domain(all_23_0_19) = all_70_2_62 & domain(all_23_1_20) = all_70_0_60 & domain(one) = all_70_1_61 & addition(all_70_1_61, all_70_0_60) = all_70_2_62
% 65.42/28.09 |
% 65.42/28.09 | Applying alpha-rule on (157) yields:
% 65.42/28.09 | (158) domain(all_23_0_19) = all_70_2_62
% 65.42/28.09 | (159) domain(all_23_1_20) = all_70_0_60
% 65.42/28.09 | (160) domain(one) = all_70_1_61
% 65.42/28.09 | (161) addition(all_70_1_61, all_70_0_60) = all_70_2_62
% 65.42/28.09 |
% 65.42/28.09 | Instantiating (94) with all_72_0_63, all_72_1_64, all_72_2_65 yields:
% 65.42/28.09 | (162) (all_72_0_63 = 0 & star(zero) = all_72_2_65 & leq(all_72_1_64, zero) = 0 & multiplication(zero, all_72_2_65) = all_72_1_64) | ( ~ (all_72_2_65 = 0) & leq(zero, zero) = all_72_2_65)
% 65.42/28.09 |
% 65.42/28.09 +-Applying beta-rule and splitting (153), into two cases.
% 65.42/28.09 |-Branch one:
% 65.42/28.09 | (163) all_67_0_56 = 0 & star(zero) = all_67_2_58 & leq(all_67_1_57, zero) = 0 & multiplication(all_67_2_58, zero) = all_67_1_57
% 65.42/28.09 |
% 65.42/28.09 | Applying alpha-rule on (163) yields:
% 65.42/28.09 | (164) all_67_0_56 = 0
% 65.42/28.09 | (165) star(zero) = all_67_2_58
% 65.42/28.09 | (166) leq(all_67_1_57, zero) = 0
% 65.42/28.09 | (167) multiplication(all_67_2_58, zero) = all_67_1_57
% 65.42/28.09 |
% 65.42/28.09 +-Applying beta-rule and splitting (162), into two cases.
% 65.42/28.09 |-Branch one:
% 65.42/28.09 | (168) all_72_0_63 = 0 & star(zero) = all_72_2_65 & leq(all_72_1_64, zero) = 0 & multiplication(zero, all_72_2_65) = all_72_1_64
% 65.42/28.09 |
% 65.42/28.09 | Applying alpha-rule on (168) yields:
% 65.42/28.09 | (169) all_72_0_63 = 0
% 65.42/28.09 | (170) star(zero) = all_72_2_65
% 65.42/28.09 | (171) leq(all_72_1_64, zero) = 0
% 65.42/28.09 | (172) multiplication(zero, all_72_2_65) = all_72_1_64
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with all_25_0_21, all_60_2_48, all_60_0_46 and discharging atoms domain(all_25_0_21) = all_60_0_46, domain(all_25_0_21) = all_60_2_48, yields:
% 65.42/28.09 | (173) all_60_0_46 = all_60_2_48
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with all_25_0_21, all_39_2_27, all_60_0_46 and discharging atoms domain(all_25_0_21) = all_60_0_46, domain(all_25_0_21) = all_39_2_27, yields:
% 65.42/28.09 | (174) all_60_0_46 = all_39_2_27
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with all_23_1_20, all_37_2_24, all_70_0_60 and discharging atoms domain(all_23_1_20) = all_70_0_60, domain(all_23_1_20) = all_37_2_24, yields:
% 65.42/28.09 | (175) all_70_0_60 = all_37_2_24
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with all_19_1_17, all_56_0_42, all_65_2_55 and discharging atoms domain(all_19_1_17) = all_65_2_55, domain(all_19_1_17) = all_56_0_42, yields:
% 65.42/28.09 | (176) all_65_2_55 = all_56_0_42
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with all_0_1_1, all_60_1_47, all_0_0_0 and discharging atoms domain(all_0_1_1) = all_60_1_47, domain(all_0_1_1) = all_0_0_0, yields:
% 65.42/28.09 | (177) all_60_1_47 = all_0_0_0
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with all_0_1_1, all_60_1_47, all_65_1_54 and discharging atoms domain(all_0_1_1) = all_65_1_54, domain(all_0_1_1) = all_60_1_47, yields:
% 65.42/28.09 | (178) all_65_1_54 = all_60_1_47
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with all_0_1_1, all_39_1_26, all_65_1_54 and discharging atoms domain(all_0_1_1) = all_65_1_54, domain(all_0_1_1) = all_39_1_26, yields:
% 65.42/28.09 | (179) all_65_1_54 = all_39_1_26
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with one, all_56_1_43, all_70_1_61 and discharging atoms domain(one) = all_70_1_61, domain(one) = all_56_1_43, yields:
% 65.42/28.09 | (180) all_70_1_61 = all_56_1_43
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with one, all_52_0_38, all_70_1_61 and discharging atoms domain(one) = all_70_1_61, domain(one) = all_52_0_38, yields:
% 65.42/28.09 | (181) all_70_1_61 = all_52_0_38
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with one, all_52_2_40, all_52_0_38 and discharging atoms domain(one) = all_52_0_38, domain(one) = all_52_2_40, yields:
% 65.42/28.09 | (182) all_52_0_38 = all_52_2_40
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with one, all_47_0_31, all_52_2_40 and discharging atoms domain(one) = all_52_2_40, domain(one) = all_47_0_31, yields:
% 65.42/28.09 | (183) all_52_2_40 = all_47_0_31
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with one, all_47_2_33, all_70_1_61 and discharging atoms domain(one) = all_70_1_61, domain(one) = all_47_2_33, yields:
% 65.42/28.09 | (184) all_70_1_61 = all_47_2_33
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (22) with zero, all_52_1_39, zero and discharging atoms domain(zero) = all_52_1_39, domain(zero) = zero, yields:
% 65.42/28.09 | (185) all_52_1_39 = zero
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (3) with zero, all_67_2_58, all_72_2_65 and discharging atoms star(zero) = all_72_2_65, star(zero) = all_67_2_58, yields:
% 65.42/28.09 | (186) all_72_2_65 = all_67_2_58
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (11) with all_67_1_57, all_67_2_58 and discharging atoms multiplication(all_67_2_58, zero) = all_67_1_57, yields:
% 65.42/28.09 | (187) all_67_1_57 = zero
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (44) with all_72_1_64, all_72_2_65 and discharging atoms multiplication(zero, all_72_2_65) = all_72_1_64, yields:
% 65.42/28.09 | (188) all_72_1_64 = zero
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (37) with all_62_0_49, all_0_0_0 and discharging atoms addition(all_0_0_0, all_0_0_0) = all_62_0_49, yields:
% 65.42/28.09 | (189) all_62_0_49 = all_0_0_0
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (23) with all_45_0_30, all_0_0_0 and discharging atoms addition(all_0_0_0, zero) = all_45_0_30, yields:
% 65.42/28.09 | (190) all_45_0_30 = all_0_0_0
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (37) with all_43_0_29, all_0_1_1 and discharging atoms addition(all_0_1_1, all_0_1_1) = all_43_0_29, yields:
% 65.42/28.09 | (191) all_43_0_29 = all_0_1_1
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (24) with one, all_23_1_20, all_58_0_45, all_23_0_19 and discharging atoms addition(one, all_23_1_20) = all_58_0_45, addition(one, all_23_1_20) = all_23_0_19, yields:
% 65.42/28.09 | (192) all_58_0_45 = all_23_0_19
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (24) with one, all_23_1_20, all_41_0_28, all_58_0_45 and discharging atoms addition(one, all_23_1_20) = all_58_0_45, addition(one, all_23_1_20) = all_41_0_28, yields:
% 65.42/28.09 | (193) all_58_0_45 = all_41_0_28
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (24) with one, all_19_1_17, all_68_0_59, all_19_0_16 and discharging atoms addition(one, all_19_1_17) = all_68_0_59, addition(one, all_19_1_17) = all_19_0_16, yields:
% 65.42/28.09 | (194) all_68_0_59 = all_19_0_16
% 65.42/28.09 |
% 65.42/28.09 | Instantiating formula (24) with one, all_19_1_17, all_54_0_41, all_68_0_59 and discharging atoms addition(one, all_19_1_17) = all_68_0_59, addition(one, all_19_1_17) = all_54_0_41, yields:
% 65.42/28.09 | (195) all_68_0_59 = all_54_0_41
% 65.42/28.09 |
% 65.42/28.10 | Combining equations (181,180) yields a new equation:
% 65.42/28.10 | (196) all_56_1_43 = all_52_0_38
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (184,180) yields a new equation:
% 65.42/28.10 | (197) all_56_1_43 = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (195,194) yields a new equation:
% 65.42/28.10 | (198) all_54_0_41 = all_19_0_16
% 65.42/28.10 |
% 65.42/28.10 | Simplifying 198 yields:
% 65.42/28.10 | (199) all_54_0_41 = all_19_0_16
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (178,179) yields a new equation:
% 65.42/28.10 | (200) all_60_1_47 = all_39_1_26
% 65.42/28.10 |
% 65.42/28.10 | Simplifying 200 yields:
% 65.42/28.10 | (201) all_60_1_47 = all_39_1_26
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (173,174) yields a new equation:
% 65.42/28.10 | (202) all_60_2_48 = all_39_2_27
% 65.42/28.10 |
% 65.42/28.10 | Simplifying 202 yields:
% 65.42/28.10 | (203) all_60_2_48 = all_39_2_27
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (177,201) yields a new equation:
% 65.42/28.10 | (204) all_39_1_26 = all_0_0_0
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (192,193) yields a new equation:
% 65.42/28.10 | (205) all_41_0_28 = all_23_0_19
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (196,197) yields a new equation:
% 65.42/28.10 | (206) all_52_0_38 = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | Simplifying 206 yields:
% 65.42/28.10 | (207) all_52_0_38 = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (182,207) yields a new equation:
% 65.42/28.10 | (208) all_52_2_40 = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | Simplifying 208 yields:
% 65.42/28.10 | (209) all_52_2_40 = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (209,183) yields a new equation:
% 65.42/28.10 | (210) all_47_0_31 = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (210,183) yields a new equation:
% 65.42/28.10 | (209) all_52_2_40 = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (205,193) yields a new equation:
% 65.42/28.10 | (192) all_58_0_45 = all_23_0_19
% 65.42/28.10 |
% 65.42/28.10 | Combining equations (197,180) yields a new equation:
% 65.42/28.10 | (184) all_70_1_61 = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | From (203) and (142) follows:
% 65.42/28.10 | (104) domain(all_25_0_21) = all_39_2_27
% 65.42/28.10 |
% 65.42/28.10 | From (175) and (159) follows:
% 65.42/28.10 | (99) domain(all_23_1_20) = all_37_2_24
% 65.42/28.10 |
% 65.42/28.10 | From (176) and (150) follows:
% 65.42/28.10 | (134) domain(all_19_1_17) = all_56_0_42
% 65.42/28.10 |
% 65.42/28.10 | From (204) and (105) follows:
% 65.42/28.10 | (13) domain(all_0_1_1) = all_0_0_0
% 65.42/28.10 |
% 65.42/28.10 | From (210) and (118) follows:
% 65.42/28.10 | (119) domain(one) = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | From (185) and (127) follows:
% 65.42/28.10 | (35) domain(zero) = zero
% 65.42/28.10 |
% 65.42/28.10 | From (186) and (170) follows:
% 65.42/28.10 | (165) star(zero) = all_67_2_58
% 65.42/28.10 |
% 65.42/28.10 | From (187) and (167) follows:
% 65.42/28.10 | (221) multiplication(all_67_2_58, zero) = zero
% 65.42/28.10 |
% 65.42/28.10 | From (186)(188) and (172) follows:
% 65.42/28.10 | (222) multiplication(zero, all_67_2_58) = zero
% 65.42/28.10 |
% 65.42/28.10 | From (184)(175) and (161) follows:
% 65.42/28.10 | (223) addition(all_47_2_33, all_37_2_24) = all_70_2_62
% 65.42/28.10 |
% 65.42/28.10 | From (197) and (136) follows:
% 65.42/28.10 | (224) addition(all_47_2_33, all_56_0_42) = all_56_2_44
% 65.42/28.10 |
% 65.42/28.10 | From (185)(207)(209) and (128) follows:
% 65.42/28.10 | (225) addition(zero, all_47_2_33) = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | From (210) and (120) follows:
% 65.42/28.10 | (226) addition(all_47_1_32, all_47_2_33) = all_47_2_33
% 65.42/28.10 |
% 65.42/28.10 | From (190) and (114) follows:
% 65.42/28.10 | (48) addition(all_0_0_0, one) = one
% 65.42/28.10 |
% 65.42/28.10 | From (191) and (111) follows:
% 65.42/28.10 | (67) addition(all_0_1_1, all_25_0_21) = all_25_0_21
% 65.42/28.10 |
% 65.42/28.10 | From (194) and (155) follows:
% 65.42/28.10 | (229) addition(all_0_0_0, all_19_0_16) = all_19_0_16
% 65.42/28.10 |
% 65.42/28.10 | From (192) and (138) follows:
% 65.42/28.10 | (230) addition(all_0_0_0, all_23_0_19) = all_23_0_19
% 65.42/28.10 |
% 65.42/28.10 | From (189) and (147) follows:
% 65.42/28.10 | (231) addition(all_0_0_0, all_0_0_0) = all_0_0_0
% 65.42/28.10 |
% 65.42/28.10 | From (190) and (115) follows:
% 65.42/28.10 | (232) addition(all_0_0_0, zero) = all_0_0_0
% 65.42/28.10 |
% 65.42/28.10 | From (191) and (112) follows:
% 65.42/28.10 | (233) addition(all_0_1_1, all_0_1_1) = all_0_1_1
% 65.42/28.10 |
% 65.42/28.10 | From (205) and (108) follows:
% 65.42/28.10 | (64) addition(one, all_23_1_20) = all_23_0_19
% 65.42/28.10 |
% 65.42/28.10 | From (199) and (130) follows:
% 65.42/28.10 | (57) addition(one, all_19_1_17) = all_19_0_16
% 65.42/28.10 |
% 65.42/28.10 | From (199) and (131) follows:
% 65.42/28.10 | (236) addition(zero, all_19_0_16) = all_19_0_16
% 65.42/28.10 |
% 65.42/28.10 | From (205) and (109) follows:
% 65.42/28.10 | (237) addition(zero, all_23_0_19) = all_23_0_19
% 65.42/28.10 |
% 65.42/28.10 | Instantiating formula (7) with all_39_2_27, all_25_0_21 and discharging atoms domain(all_25_0_21) = all_39_2_27, yields:
% 65.42/28.10 | (238) addition(all_39_2_27, one) = one
% 65.42/28.10 |
% 65.42/28.10 | Instantiating formula (7) with all_70_2_62, all_23_0_19 and discharging atoms domain(all_23_0_19) = all_70_2_62, yields:
% 65.42/28.10 | (239) addition(all_70_2_62, one) = one
% 65.42/28.10 |
% 65.42/28.10 | Instantiating formula (7) with all_37_2_24, all_23_1_20 and discharging atoms domain(all_23_1_20) = all_37_2_24, yields:
% 65.42/28.10 | (240) addition(all_37_2_24, one) = one
% 65.42/28.10 |
% 65.42/28.10 | Instantiating formula (7) with all_56_2_44, all_19_0_16 and discharging atoms domain(all_19_0_16) = all_56_2_44, yields:
% 65.42/28.10 | (241) addition(all_56_2_44, one) = one
% 65.42/28.10 |
% 65.42/28.11 | Instantiating formula (7) with all_56_0_42, all_19_1_17 and discharging atoms domain(all_19_1_17) = all_56_0_42, yields:
% 65.42/28.11 | (242) addition(all_56_0_42, one) = one
% 65.42/28.11 |
% 65.42/28.11 | Instantiating formula (7) with all_47_1_32, all_0_0_0 and discharging atoms domain(all_0_0_0) = all_47_1_32, yields:
% 65.42/28.11 | (243) addition(all_47_1_32, one) = one
% 65.42/28.11 |
% 65.42/28.11 | Instantiating formula (7) with all_37_1_23, all_0_2_2 and discharging atoms domain(all_0_2_2) = all_37_1_23, yields:
% 65.42/28.11 | (244) addition(all_37_1_23, one) = one
% 65.42/28.11 |
% 65.42/28.11 | Instantiating formula (7) with all_47_2_33, one and discharging atoms domain(one) = all_47_2_33, yields:
% 65.42/28.11 | (245) addition(all_47_2_33, one) = one
% 65.42/28.11 |
% 65.42/28.11 | Instantiating formula (2) with all_47_2_33, one and discharging atoms domain(one) = all_47_2_33, yields:
% 65.42/28.11 | (246) ? [v0] : (multiplication(all_47_2_33, one) = v0 & addition(one, v0) = v0)
% 65.42/28.11 |
% 65.42/28.11 | Instantiating formula (28) with all_67_2_58, zero and discharging atoms star(zero) = all_67_2_58, yields:
% 65.42/28.11 | (247) ? [v0] : ? [v1] : (leq(v1, all_67_2_58) = 0 & multiplication(all_67_2_58, zero) = v0 & addition(one, v0) = v1)
% 65.42/28.11 |
% 65.42/28.11 | Instantiating formula (32) with all_67_2_58, zero and discharging atoms star(zero) = all_67_2_58, yields:
% 65.42/28.11 | (248) ? [v0] : ? [v1] : (leq(v1, all_67_2_58) = 0 & multiplication(zero, all_67_2_58) = v0 & addition(one, v0) = v1)
% 65.42/28.11 |
% 65.42/28.11 | Instantiating formula (25) with one, zero, one, zero, all_67_2_58 and discharging atoms multiplication(all_67_2_58, zero) = zero, addition(zero, one) = one, yields:
% 65.42/28.11 | (249) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(zero) = v0 & leq(v1, all_67_2_58) = 0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(one, all_67_2_58) = v0))
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (46) with one, zero, one, all_67_2_58, zero and discharging atoms multiplication(zero, all_67_2_58) = zero, addition(zero, one) = one, yields:
% 65.86/28.11 | (250) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(zero) = v0 & leq(v1, all_67_2_58) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(one, all_67_2_58) = v0))
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (39) with one, one, zero, all_49_0_34, one and discharging atoms addition(all_49_0_34, one) = one, addition(zero, one) = one, yields:
% 65.86/28.11 | (251) ? [v0] : (addition(v0, one) = one & addition(zero, all_49_0_34) = v0)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (42) with one, all_49_0_34, one and discharging atoms addition(all_49_0_34, one) = one, yields:
% 65.86/28.11 | (252) addition(one, all_49_0_34) = one
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (30) with one, one, all_49_0_34 and discharging atoms addition(all_49_0_34, one) = one, yields:
% 65.86/28.11 | (253) ? [v0] : ? [v1] : ? [v2] : (domain(all_49_0_34) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (19) with all_56_2_44, all_47_2_33, all_47_1_32, all_47_2_33, all_56_0_42 and discharging atoms addition(all_47_1_32, all_47_2_33) = all_47_2_33, addition(all_47_2_33, all_56_0_42) = all_56_2_44, yields:
% 65.86/28.11 | (254) ? [v0] : (addition(all_47_1_32, v0) = all_56_2_44 & addition(all_47_2_33, all_56_0_42) = v0)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (19) with all_70_2_62, all_47_2_33, all_47_1_32, all_47_2_33, all_37_2_24 and discharging atoms addition(all_47_1_32, all_47_2_33) = all_47_2_33, addition(all_47_2_33, all_37_2_24) = all_70_2_62, yields:
% 65.86/28.11 | (255) ? [v0] : (addition(all_47_1_32, v0) = all_70_2_62 & addition(all_47_2_33, all_37_2_24) = v0)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (30) with all_25_0_21, all_0_1_1, all_25_0_21 and discharging atoms addition(all_25_0_21, all_0_1_1) = all_25_0_21, yields:
% 65.86/28.11 | (256) ? [v0] : ? [v1] : ? [v2] : (domain(all_25_0_21) = v1 & domain(all_25_0_21) = v0 & domain(all_0_1_1) = v2 & addition(v1, v2) = v0)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (34) with all_25_0_21, all_0_1_1, all_0_1_1, all_23_0_19, all_0_0_0 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_25_0_21, addition(all_23_0_19, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.11 | (257) ? [v0] : ? [v1] : (multiplication(all_0_0_0, all_23_0_19) = v0 & multiplication(all_0_0_0, all_0_1_1) = v1 & addition(v0, v1) = all_25_0_21)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (19) with all_25_0_21, all_0_1_1, all_23_0_19, all_0_1_1, all_25_0_21 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, addition(all_0_1_1, all_25_0_21) = all_25_0_21, yields:
% 65.86/28.11 | (258) ? [v0] : (addition(all_23_0_19, v0) = all_25_0_21 & addition(all_0_1_1, all_25_0_21) = v0)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (19) with all_0_1_1, all_23_0_19, one, all_23_1_20, all_0_1_1 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, addition(one, all_23_1_20) = all_23_0_19, yields:
% 65.86/28.11 | (259) ? [v0] : (addition(all_23_1_20, all_0_1_1) = v0 & addition(one, v0) = all_0_1_1)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (39) with all_25_0_21, all_0_1_1, all_25_0_21, all_23_0_19, all_0_1_1 and discharging atoms addition(all_25_0_21, all_0_1_1) = all_25_0_21, addition(all_23_0_19, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.11 | (260) ? [v0] : (addition(v0, all_0_1_1) = all_25_0_21 & addition(all_25_0_21, all_23_0_19) = v0)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (42) with all_0_1_1, all_23_0_19, all_0_1_1 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.11 | (261) addition(all_0_1_1, all_23_0_19) = all_0_1_1
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (30) with all_0_1_1, all_0_1_1, all_23_0_19 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.11 | (262) ? [v0] : ? [v1] : ? [v2] : (domain(all_23_0_19) = v1 & domain(all_0_1_1) = v2 & domain(all_0_1_1) = v0 & addition(v1, v2) = v0)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (25) with all_23_0_19, all_23_1_20, one, all_0_2_2, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_23_1_20, addition(all_23_1_20, one) = all_23_0_19, yields:
% 65.86/28.11 | (263) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(all_0_2_2) = v0 & leq(v1, all_0_1_1) = 0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_23_0_19, all_0_1_1) = v0))
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (39) with all_23_0_19, one, all_23_1_20, all_0_0_0, one and discharging atoms addition(all_23_1_20, one) = all_23_0_19, addition(all_0_0_0, one) = one, yields:
% 65.86/28.11 | (264) ? [v0] : (addition(v0, one) = all_23_0_19 & addition(all_23_1_20, all_0_0_0) = v0)
% 65.86/28.11 |
% 65.86/28.11 | Instantiating formula (39) with all_23_0_19, one, all_23_1_20, all_49_0_34, one and discharging atoms addition(all_49_0_34, one) = one, addition(all_23_1_20, one) = all_23_0_19, yields:
% 65.86/28.11 | (265) ? [v0] : (addition(v0, one) = all_23_0_19 & addition(all_23_1_20, all_49_0_34) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (19) with all_0_1_1, all_23_0_19, all_23_1_20, one, all_0_1_1 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, addition(all_23_1_20, one) = all_23_0_19, yields:
% 65.86/28.12 | (266) ? [v0] : (addition(all_23_1_20, v0) = all_0_1_1 & addition(one, all_0_1_1) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (30) with all_23_0_19, one, all_23_1_20 and discharging atoms addition(all_23_1_20, one) = all_23_0_19, yields:
% 65.86/28.12 | (267) ? [v0] : ? [v1] : ? [v2] : (domain(all_23_0_19) = v0 & domain(all_23_1_20) = v1 & domain(one) = v2 & addition(v1, v2) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (34) with all_25_0_21, all_0_1_1, all_0_1_1, all_19_0_16, all_0_0_0 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_25_0_21, addition(all_19_0_16, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.12 | (268) ? [v0] : ? [v1] : (multiplication(all_0_0_0, all_19_0_16) = v0 & multiplication(all_0_0_0, all_0_1_1) = v1 & addition(v0, v1) = all_25_0_21)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (19) with all_25_0_21, all_0_1_1, all_19_0_16, all_0_1_1, all_25_0_21 and discharging atoms addition(all_19_0_16, all_0_1_1) = all_0_1_1, addition(all_0_1_1, all_25_0_21) = all_25_0_21, yields:
% 65.86/28.12 | (269) ? [v0] : (addition(all_19_0_16, v0) = all_25_0_21 & addition(all_0_1_1, all_25_0_21) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (19) with all_0_1_1, all_19_0_16, one, all_19_1_17, all_0_1_1 and discharging atoms addition(all_19_0_16, all_0_1_1) = all_0_1_1, addition(one, all_19_1_17) = all_19_0_16, yields:
% 65.86/28.12 | (270) ? [v0] : (addition(all_19_1_17, all_0_1_1) = v0 & addition(one, v0) = all_0_1_1)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (39) with all_25_0_21, all_0_1_1, all_25_0_21, all_19_0_16, all_0_1_1 and discharging atoms addition(all_25_0_21, all_0_1_1) = all_25_0_21, addition(all_19_0_16, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.12 | (271) ? [v0] : (addition(v0, all_0_1_1) = all_25_0_21 & addition(all_25_0_21, all_19_0_16) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (39) with all_0_1_1, all_0_1_1, all_19_0_16, all_23_0_19, all_0_1_1 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, addition(all_19_0_16, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.12 | (272) ? [v0] : (addition(v0, all_0_1_1) = all_0_1_1 & addition(all_19_0_16, all_23_0_19) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (39) with all_0_1_1, all_0_1_1, all_23_0_19, all_19_0_16, all_0_1_1 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, addition(all_19_0_16, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.12 | (273) ? [v0] : (addition(v0, all_0_1_1) = all_0_1_1 & addition(all_23_0_19, all_19_0_16) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (42) with all_0_1_1, all_19_0_16, all_0_1_1 and discharging atoms addition(all_19_0_16, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.12 | (274) addition(all_0_1_1, all_19_0_16) = all_0_1_1
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (30) with all_0_1_1, all_0_1_1, all_19_0_16 and discharging atoms addition(all_19_0_16, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.12 | (275) ? [v0] : ? [v1] : ? [v2] : (domain(all_19_0_16) = v1 & domain(all_0_1_1) = v2 & domain(all_0_1_1) = v0 & addition(v1, v2) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (46) with all_19_0_16, all_19_1_17, one, all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_19_1_17, addition(all_19_1_17, one) = all_19_0_16, yields:
% 65.86/28.12 | (276) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(all_0_2_2) = v0 & leq(v1, all_0_1_1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_19_0_16, all_0_1_1) = v0))
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (39) with all_19_0_16, one, all_19_1_17, all_0_0_0, one and discharging atoms addition(all_19_1_17, one) = all_19_0_16, addition(all_0_0_0, one) = one, yields:
% 65.86/28.12 | (277) ? [v0] : (addition(v0, one) = all_19_0_16 & addition(all_19_1_17, all_0_0_0) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (39) with all_19_0_16, one, all_19_1_17, all_49_0_34, one and discharging atoms addition(all_49_0_34, one) = one, addition(all_19_1_17, one) = all_19_0_16, yields:
% 65.86/28.12 | (278) ? [v0] : (addition(v0, one) = all_19_0_16 & addition(all_19_1_17, all_49_0_34) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (19) with all_0_1_1, all_19_0_16, all_19_1_17, one, all_0_1_1 and discharging atoms addition(all_19_0_16, all_0_1_1) = all_0_1_1, addition(all_19_1_17, one) = all_19_0_16, yields:
% 65.86/28.12 | (279) ? [v0] : (addition(all_19_1_17, v0) = all_0_1_1 & addition(one, all_0_1_1) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (30) with all_19_0_16, one, all_19_1_17 and discharging atoms addition(all_19_1_17, one) = all_19_0_16, yields:
% 65.86/28.12 | (280) ? [v0] : ? [v1] : ? [v2] : (domain(all_19_0_16) = v0 & domain(all_19_1_17) = v1 & domain(one) = v2 & addition(v1, v2) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (19) with all_0_1_1, all_23_0_19, all_0_0_0, all_23_0_19, all_0_1_1 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, addition(all_0_0_0, all_23_0_19) = all_23_0_19, yields:
% 65.86/28.12 | (281) ? [v0] : (addition(all_23_0_19, all_0_1_1) = v0 & addition(all_0_0_0, v0) = all_0_1_1)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (39) with all_23_0_19, all_23_0_19, all_0_0_0, all_23_1_20, one and discharging atoms addition(all_23_1_20, one) = all_23_0_19, addition(all_0_0_0, all_23_0_19) = all_23_0_19, yields:
% 65.86/28.12 | (282) ? [v0] : (addition(v0, one) = all_23_0_19 & addition(all_0_0_0, all_23_1_20) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (30) with all_23_0_19, all_23_0_19, all_0_0_0 and discharging atoms addition(all_0_0_0, all_23_0_19) = all_23_0_19, yields:
% 65.86/28.12 | (283) ? [v0] : ? [v1] : ? [v2] : (domain(all_23_0_19) = v2 & domain(all_23_0_19) = v0 & domain(all_0_0_0) = v1 & addition(v1, v2) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (39) with all_19_0_16, all_19_0_16, all_0_0_0, all_19_1_17, one and discharging atoms addition(all_19_1_17, one) = all_19_0_16, addition(all_0_0_0, all_19_0_16) = all_19_0_16, yields:
% 65.86/28.12 | (284) ? [v0] : (addition(v0, one) = all_19_0_16 & addition(all_0_0_0, all_19_1_17) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (30) with all_19_0_16, all_19_0_16, all_0_0_0 and discharging atoms addition(all_0_0_0, all_19_0_16) = all_19_0_16, yields:
% 65.86/28.12 | (285) ? [v0] : ? [v1] : ? [v2] : (domain(all_19_0_16) = v2 & domain(all_19_0_16) = v0 & domain(all_0_0_0) = v1 & addition(v1, v2) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (12) with all_25_0_21, all_0_0_0, all_0_1_1, zero, all_0_0_0 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_25_0_21, addition(all_0_0_0, zero) = all_0_0_0, yields:
% 65.86/28.12 | (286) ? [v0] : ? [v1] : (multiplication(all_0_0_0, all_0_1_1) = v0 & multiplication(zero, all_0_1_1) = v1 & addition(v0, v1) = all_25_0_21)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (19) with all_0_0_0, all_0_0_0, all_0_0_0, zero, all_0_0_0 and discharging atoms addition(all_0_0_0, all_0_0_0) = all_0_0_0, addition(all_0_0_0, zero) = all_0_0_0, yields:
% 65.86/28.12 | (287) ? [v0] : (addition(all_0_0_0, v0) = all_0_0_0 & addition(zero, all_0_0_0) = v0)
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (42) with all_0_0_0, all_0_0_0, zero and discharging atoms addition(all_0_0_0, zero) = all_0_0_0, yields:
% 65.86/28.12 | (288) addition(zero, all_0_0_0) = all_0_0_0
% 65.86/28.12 |
% 65.86/28.12 | Instantiating formula (34) with all_25_0_21, all_0_1_1, all_0_1_1, all_0_1_1, all_0_0_0 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_25_0_21, addition(all_0_1_1, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.12 | (289) ? [v0] : ? [v1] : (multiplication(all_0_0_0, all_0_1_1) = v1 & multiplication(all_0_0_0, all_0_1_1) = v0 & addition(v0, v1) = all_25_0_21)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (39) with all_0_1_1, all_0_1_1, all_0_1_1, all_23_0_19, all_0_1_1 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, addition(all_0_1_1, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.13 | (290) ? [v0] : (addition(v0, all_0_1_1) = all_0_1_1 & addition(all_0_1_1, all_23_0_19) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (39) with all_0_1_1, all_0_1_1, all_0_1_1, all_19_0_16, all_0_1_1 and discharging atoms addition(all_19_0_16, all_0_1_1) = all_0_1_1, addition(all_0_1_1, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.13 | (291) ? [v0] : (addition(v0, all_0_1_1) = all_0_1_1 & addition(all_0_1_1, all_19_0_16) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (19) with all_23_0_19, one, one, all_0_0_0, all_23_1_20 and discharging atoms addition(one, all_23_1_20) = all_23_0_19, addition(one, all_0_0_0) = one, yields:
% 65.86/28.13 | (292) ? [v0] : (addition(all_0_0_0, all_23_1_20) = v0 & addition(one, v0) = all_23_0_19)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (19) with all_19_0_16, one, one, all_0_0_0, all_19_1_17 and discharging atoms addition(one, all_19_1_17) = all_19_0_16, addition(one, all_0_0_0) = one, yields:
% 65.86/28.13 | (293) ? [v0] : (addition(all_0_0_0, all_19_1_17) = v0 & addition(one, v0) = all_19_0_16)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (6) with one, all_0_0_0, one and discharging atoms addition(one, all_0_0_0) = one, yields:
% 65.86/28.13 | (294) all_0_0_0 = one | ? [v0] : ( ~ (v0 = 0) & leq(one, all_0_0_0) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (30) with one, all_0_0_0, one and discharging atoms addition(one, all_0_0_0) = one, yields:
% 65.86/28.13 | (295) ? [v0] : ? [v1] : ? [v2] : (domain(all_0_0_0) = v2 & domain(one) = v1 & domain(one) = v0 & addition(v1, v2) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (19) with all_23_0_19, one, one, zero, all_23_1_20 and discharging atoms addition(one, all_23_1_20) = all_23_0_19, addition(one, zero) = one, yields:
% 65.86/28.13 | (296) ? [v0] : (addition(one, v0) = all_23_0_19 & addition(zero, all_23_1_20) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (19) with all_19_0_16, one, one, zero, all_19_1_17 and discharging atoms addition(one, all_19_1_17) = all_19_0_16, addition(one, zero) = one, yields:
% 65.86/28.13 | (297) ? [v0] : (addition(one, v0) = all_19_0_16 & addition(zero, all_19_1_17) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (19) with one, one, one, zero, all_0_0_0 and discharging atoms addition(one, all_0_0_0) = one, addition(one, zero) = one, yields:
% 65.86/28.13 | (298) ? [v0] : (addition(one, v0) = one & addition(zero, all_0_0_0) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (30) with one, zero, one and discharging atoms addition(one, zero) = one, yields:
% 65.86/28.13 | (299) ? [v0] : ? [v1] : ? [v2] : (domain(one) = v1 & domain(one) = v0 & domain(zero) = v2 & addition(v1, v2) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (19) with all_56_2_44, all_47_2_33, zero, all_47_2_33, all_56_0_42 and discharging atoms addition(all_47_2_33, all_56_0_42) = all_56_2_44, addition(zero, all_47_2_33) = all_47_2_33, yields:
% 65.86/28.13 | (300) ? [v0] : (addition(all_47_2_33, all_56_0_42) = v0 & addition(zero, v0) = all_56_2_44)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (19) with all_70_2_62, all_47_2_33, zero, all_47_2_33, all_37_2_24 and discharging atoms addition(all_47_2_33, all_37_2_24) = all_70_2_62, addition(zero, all_47_2_33) = all_47_2_33, yields:
% 65.86/28.13 | (301) ? [v0] : (addition(all_47_2_33, all_37_2_24) = v0 & addition(zero, v0) = all_70_2_62)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (19) with all_0_1_1, all_23_0_19, zero, all_23_0_19, all_0_1_1 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_0_1_1, addition(zero, all_23_0_19) = all_23_0_19, yields:
% 65.86/28.13 | (302) ? [v0] : (addition(all_23_0_19, all_0_1_1) = v0 & addition(zero, v0) = all_0_1_1)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (39) with all_23_0_19, all_23_0_19, zero, all_23_1_20, one and discharging atoms addition(all_23_1_20, one) = all_23_0_19, addition(zero, all_23_0_19) = all_23_0_19, yields:
% 65.86/28.13 | (303) ? [v0] : (addition(v0, one) = all_23_0_19 & addition(zero, all_23_1_20) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (39) with all_23_0_19, all_23_0_19, zero, all_0_0_0, all_23_0_19 and discharging atoms addition(all_0_0_0, all_23_0_19) = all_23_0_19, addition(zero, all_23_0_19) = all_23_0_19, yields:
% 65.86/28.13 | (304) ? [v0] : (addition(v0, all_23_0_19) = all_23_0_19 & addition(zero, all_0_0_0) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (39) with all_19_0_16, all_19_0_16, zero, all_19_1_17, one and discharging atoms addition(all_19_1_17, one) = all_19_0_16, addition(zero, all_19_0_16) = all_19_0_16, yields:
% 65.86/28.13 | (305) ? [v0] : (addition(v0, one) = all_19_0_16 & addition(zero, all_19_1_17) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (39) with all_19_0_16, all_19_0_16, zero, all_0_0_0, all_19_0_16 and discharging atoms addition(all_0_0_0, all_19_0_16) = all_19_0_16, addition(zero, all_19_0_16) = all_19_0_16, yields:
% 65.86/28.13 | (306) ? [v0] : (addition(v0, all_19_0_16) = all_19_0_16 & addition(zero, all_0_0_0) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (30) with all_19_0_16, all_19_0_16, zero and discharging atoms addition(zero, all_19_0_16) = all_19_0_16, yields:
% 65.86/28.13 | (307) ? [v0] : ? [v1] : ? [v2] : (domain(all_19_0_16) = v2 & domain(all_19_0_16) = v0 & domain(zero) = v1 & addition(v1, v2) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (26) with all_49_0_34, all_0_0_0, zero, all_0_1_1, zero and discharging atoms domain(all_0_1_1) = all_0_0_0, domain(zero) = zero, addition(zero, all_0_0_0) = all_49_0_34, yields:
% 65.86/28.13 | (308) ? [v0] : (domain(v0) = all_49_0_34 & addition(zero, all_0_1_1) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (19) with all_49_0_34, zero, zero, zero, all_0_0_0 and discharging atoms addition(zero, all_0_0_0) = all_49_0_34, addition(zero, zero) = zero, yields:
% 65.86/28.13 | (309) ? [v0] : (addition(zero, v0) = all_49_0_34 & addition(zero, all_0_0_0) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (39) with all_49_0_34, all_0_0_0, zero, all_0_0_0, all_0_0_0 and discharging atoms addition(all_0_0_0, all_0_0_0) = all_0_0_0, addition(zero, all_0_0_0) = all_49_0_34, yields:
% 65.86/28.13 | (310) ? [v0] : (addition(v0, all_0_0_0) = all_49_0_34 & addition(zero, all_0_0_0) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating formula (39) with all_49_0_34, all_0_0_0, zero, all_0_0_0, zero and discharging atoms addition(all_0_0_0, zero) = all_0_0_0, addition(zero, all_0_0_0) = all_49_0_34, yields:
% 65.86/28.13 | (311) ? [v0] : (addition(v0, zero) = all_49_0_34 & addition(zero, all_0_0_0) = v0)
% 65.86/28.13 |
% 65.86/28.13 | Instantiating (301) with all_95_0_70 yields:
% 65.86/28.13 | (312) addition(all_47_2_33, all_37_2_24) = all_95_0_70 & addition(zero, all_95_0_70) = all_70_2_62
% 65.86/28.13 |
% 65.86/28.13 | Applying alpha-rule on (312) yields:
% 65.86/28.13 | (313) addition(all_47_2_33, all_37_2_24) = all_95_0_70
% 65.86/28.13 | (314) addition(zero, all_95_0_70) = all_70_2_62
% 65.86/28.13 |
% 65.86/28.13 | Instantiating (260) with all_97_0_71 yields:
% 65.86/28.13 | (315) addition(all_97_0_71, all_0_1_1) = all_25_0_21 & addition(all_25_0_21, all_23_0_19) = all_97_0_71
% 65.86/28.13 |
% 65.86/28.13 | Applying alpha-rule on (315) yields:
% 65.86/28.13 | (316) addition(all_97_0_71, all_0_1_1) = all_25_0_21
% 65.86/28.13 | (317) addition(all_25_0_21, all_23_0_19) = all_97_0_71
% 65.86/28.13 |
% 65.86/28.13 | Instantiating (258) with all_99_0_72 yields:
% 65.86/28.13 | (318) addition(all_23_0_19, all_99_0_72) = all_25_0_21 & addition(all_0_1_1, all_25_0_21) = all_99_0_72
% 65.86/28.13 |
% 65.86/28.13 | Applying alpha-rule on (318) yields:
% 65.86/28.13 | (319) addition(all_23_0_19, all_99_0_72) = all_25_0_21
% 65.86/28.13 | (320) addition(all_0_1_1, all_25_0_21) = all_99_0_72
% 65.86/28.13 |
% 65.86/28.13 | Instantiating (265) with all_107_0_84 yields:
% 65.86/28.13 | (321) addition(all_107_0_84, one) = all_23_0_19 & addition(all_23_1_20, all_49_0_34) = all_107_0_84
% 65.86/28.13 |
% 65.86/28.13 | Applying alpha-rule on (321) yields:
% 65.86/28.13 | (322) addition(all_107_0_84, one) = all_23_0_19
% 65.86/28.13 | (323) addition(all_23_1_20, all_49_0_34) = all_107_0_84
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (264) with all_109_0_85 yields:
% 65.86/28.14 | (324) addition(all_109_0_85, one) = all_23_0_19 & addition(all_23_1_20, all_0_0_0) = all_109_0_85
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (324) yields:
% 65.86/28.14 | (325) addition(all_109_0_85, one) = all_23_0_19
% 65.86/28.14 | (326) addition(all_23_1_20, all_0_0_0) = all_109_0_85
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (281) with all_116_0_96 yields:
% 65.86/28.14 | (327) addition(all_23_0_19, all_0_1_1) = all_116_0_96 & addition(all_0_0_0, all_116_0_96) = all_0_1_1
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (327) yields:
% 65.86/28.14 | (328) addition(all_23_0_19, all_0_1_1) = all_116_0_96
% 65.86/28.14 | (329) addition(all_0_0_0, all_116_0_96) = all_0_1_1
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (269) with all_118_0_97 yields:
% 65.86/28.14 | (330) addition(all_19_0_16, all_118_0_97) = all_25_0_21 & addition(all_0_1_1, all_25_0_21) = all_118_0_97
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (330) yields:
% 65.86/28.14 | (331) addition(all_19_0_16, all_118_0_97) = all_25_0_21
% 65.86/28.14 | (332) addition(all_0_1_1, all_25_0_21) = all_118_0_97
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (268) with all_122_0_100, all_122_1_101 yields:
% 65.86/28.14 | (333) multiplication(all_0_0_0, all_19_0_16) = all_122_1_101 & multiplication(all_0_0_0, all_0_1_1) = all_122_0_100 & addition(all_122_1_101, all_122_0_100) = all_25_0_21
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (333) yields:
% 65.86/28.14 | (334) multiplication(all_0_0_0, all_19_0_16) = all_122_1_101
% 65.86/28.14 | (335) multiplication(all_0_0_0, all_0_1_1) = all_122_0_100
% 65.86/28.14 | (336) addition(all_122_1_101, all_122_0_100) = all_25_0_21
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (266) with all_124_0_102 yields:
% 65.86/28.14 | (337) addition(all_23_1_20, all_124_0_102) = all_0_1_1 & addition(one, all_0_1_1) = all_124_0_102
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (337) yields:
% 65.86/28.14 | (338) addition(all_23_1_20, all_124_0_102) = all_0_1_1
% 65.86/28.14 | (339) addition(one, all_0_1_1) = all_124_0_102
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (267) with all_126_0_103, all_126_1_104, all_126_2_105 yields:
% 65.86/28.14 | (340) domain(all_23_0_19) = all_126_2_105 & domain(all_23_1_20) = all_126_1_104 & domain(one) = all_126_0_103 & addition(all_126_1_104, all_126_0_103) = all_126_2_105
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (340) yields:
% 65.86/28.14 | (341) domain(all_23_0_19) = all_126_2_105
% 65.86/28.14 | (342) domain(all_23_1_20) = all_126_1_104
% 65.86/28.14 | (343) domain(one) = all_126_0_103
% 65.86/28.14 | (344) addition(all_126_1_104, all_126_0_103) = all_126_2_105
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (251) with all_138_0_118 yields:
% 65.86/28.14 | (345) addition(all_138_0_118, one) = one & addition(zero, all_49_0_34) = all_138_0_118
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (345) yields:
% 65.86/28.14 | (346) addition(all_138_0_118, one) = one
% 65.86/28.14 | (347) addition(zero, all_49_0_34) = all_138_0_118
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (311) with all_144_0_123 yields:
% 65.86/28.14 | (348) addition(all_144_0_123, zero) = all_49_0_34 & addition(zero, all_0_0_0) = all_144_0_123
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (348) yields:
% 65.86/28.14 | (349) addition(all_144_0_123, zero) = all_49_0_34
% 65.86/28.14 | (350) addition(zero, all_0_0_0) = all_144_0_123
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (310) with all_146_0_124 yields:
% 65.86/28.14 | (351) addition(all_146_0_124, all_0_0_0) = all_49_0_34 & addition(zero, all_0_0_0) = all_146_0_124
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (351) yields:
% 65.86/28.14 | (352) addition(all_146_0_124, all_0_0_0) = all_49_0_34
% 65.86/28.14 | (353) addition(zero, all_0_0_0) = all_146_0_124
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (303) with all_148_0_125 yields:
% 65.86/28.14 | (354) addition(all_148_0_125, one) = all_23_0_19 & addition(zero, all_23_1_20) = all_148_0_125
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (354) yields:
% 65.86/28.14 | (355) addition(all_148_0_125, one) = all_23_0_19
% 65.86/28.14 | (356) addition(zero, all_23_1_20) = all_148_0_125
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (263) with all_152_0_132, all_152_1_133, all_152_2_134 yields:
% 65.86/28.14 | (357) (all_152_0_132 = 0 & star(all_0_2_2) = all_152_2_134 & leq(all_152_1_133, all_0_1_1) = 0 & multiplication(one, all_152_2_134) = all_152_1_133) | ( ~ (all_152_2_134 = 0) & leq(all_23_0_19, all_0_1_1) = all_152_2_134)
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (262) with all_153_0_135, all_153_1_136, all_153_2_137 yields:
% 65.86/28.14 | (358) domain(all_23_0_19) = all_153_1_136 & domain(all_0_1_1) = all_153_0_135 & domain(all_0_1_1) = all_153_2_137 & addition(all_153_1_136, all_153_0_135) = all_153_2_137
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (358) yields:
% 65.86/28.14 | (359) domain(all_23_0_19) = all_153_1_136
% 65.86/28.14 | (360) domain(all_0_1_1) = all_153_0_135
% 65.86/28.14 | (361) domain(all_0_1_1) = all_153_2_137
% 65.86/28.14 | (362) addition(all_153_1_136, all_153_0_135) = all_153_2_137
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (250) with all_168_0_149, all_168_1_150, all_168_2_151 yields:
% 65.86/28.14 | (363) (all_168_0_149 = 0 & star(zero) = all_168_2_151 & leq(all_168_1_150, all_67_2_58) = 0 & multiplication(all_168_2_151, one) = all_168_1_150) | ( ~ (all_168_2_151 = 0) & leq(one, all_67_2_58) = all_168_2_151)
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (254) with all_181_0_172 yields:
% 65.86/28.14 | (364) addition(all_47_1_32, all_181_0_172) = all_56_2_44 & addition(all_47_2_33, all_56_0_42) = all_181_0_172
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (364) yields:
% 65.86/28.14 | (365) addition(all_47_1_32, all_181_0_172) = all_56_2_44
% 65.86/28.14 | (366) addition(all_47_2_33, all_56_0_42) = all_181_0_172
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (284) with all_183_0_173 yields:
% 65.86/28.14 | (367) addition(all_183_0_173, one) = all_19_0_16 & addition(all_0_0_0, all_19_1_17) = all_183_0_173
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (367) yields:
% 65.86/28.14 | (368) addition(all_183_0_173, one) = all_19_0_16
% 65.86/28.14 | (369) addition(all_0_0_0, all_19_1_17) = all_183_0_173
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (287) with all_185_0_174 yields:
% 65.86/28.14 | (370) addition(all_0_0_0, all_185_0_174) = all_0_0_0 & addition(zero, all_0_0_0) = all_185_0_174
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (370) yields:
% 65.86/28.14 | (371) addition(all_0_0_0, all_185_0_174) = all_0_0_0
% 65.86/28.14 | (372) addition(zero, all_0_0_0) = all_185_0_174
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (283) with all_191_0_178, all_191_1_179, all_191_2_180 yields:
% 65.86/28.14 | (373) domain(all_23_0_19) = all_191_0_178 & domain(all_23_0_19) = all_191_2_180 & domain(all_0_0_0) = all_191_1_179 & addition(all_191_1_179, all_191_0_178) = all_191_2_180
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (373) yields:
% 65.86/28.14 | (374) domain(all_23_0_19) = all_191_0_178
% 65.86/28.14 | (375) domain(all_23_0_19) = all_191_2_180
% 65.86/28.14 | (376) domain(all_0_0_0) = all_191_1_179
% 65.86/28.14 | (377) addition(all_191_1_179, all_191_0_178) = all_191_2_180
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (286) with all_193_0_181, all_193_1_182 yields:
% 65.86/28.14 | (378) multiplication(all_0_0_0, all_0_1_1) = all_193_1_182 & multiplication(zero, all_0_1_1) = all_193_0_181 & addition(all_193_1_182, all_193_0_181) = all_25_0_21
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (378) yields:
% 65.86/28.14 | (379) multiplication(all_0_0_0, all_0_1_1) = all_193_1_182
% 65.86/28.14 | (380) multiplication(zero, all_0_1_1) = all_193_0_181
% 65.86/28.14 | (381) addition(all_193_1_182, all_193_0_181) = all_25_0_21
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (279) with all_197_0_184 yields:
% 65.86/28.14 | (382) addition(all_19_1_17, all_197_0_184) = all_0_1_1 & addition(one, all_0_1_1) = all_197_0_184
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (382) yields:
% 65.86/28.14 | (383) addition(all_19_1_17, all_197_0_184) = all_0_1_1
% 65.86/28.14 | (384) addition(one, all_0_1_1) = all_197_0_184
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (280) with all_200_0_188, all_200_1_189, all_200_2_190 yields:
% 65.86/28.14 | (385) domain(all_19_0_16) = all_200_2_190 & domain(all_19_1_17) = all_200_1_189 & domain(one) = all_200_0_188 & addition(all_200_1_189, all_200_0_188) = all_200_2_190
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (385) yields:
% 65.86/28.14 | (386) domain(all_19_0_16) = all_200_2_190
% 65.86/28.14 | (387) domain(all_19_1_17) = all_200_1_189
% 65.86/28.14 | (388) domain(one) = all_200_0_188
% 65.86/28.14 | (389) addition(all_200_1_189, all_200_0_188) = all_200_2_190
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (278) with all_202_0_191 yields:
% 65.86/28.14 | (390) addition(all_202_0_191, one) = all_19_0_16 & addition(all_19_1_17, all_49_0_34) = all_202_0_191
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (390) yields:
% 65.86/28.14 | (391) addition(all_202_0_191, one) = all_19_0_16
% 65.86/28.14 | (392) addition(all_19_1_17, all_49_0_34) = all_202_0_191
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (277) with all_204_0_192 yields:
% 65.86/28.14 | (393) addition(all_204_0_192, one) = all_19_0_16 & addition(all_19_1_17, all_0_0_0) = all_204_0_192
% 65.86/28.14 |
% 65.86/28.14 | Applying alpha-rule on (393) yields:
% 65.86/28.14 | (394) addition(all_204_0_192, one) = all_19_0_16
% 65.86/28.14 | (395) addition(all_19_1_17, all_0_0_0) = all_204_0_192
% 65.86/28.14 |
% 65.86/28.14 | Instantiating (275) with all_206_0_193, all_206_1_194, all_206_2_195 yields:
% 65.86/28.14 | (396) domain(all_19_0_16) = all_206_1_194 & domain(all_0_1_1) = all_206_0_193 & domain(all_0_1_1) = all_206_2_195 & addition(all_206_1_194, all_206_0_193) = all_206_2_195
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (396) yields:
% 65.86/28.15 | (397) domain(all_19_0_16) = all_206_1_194
% 65.86/28.15 | (398) domain(all_0_1_1) = all_206_0_193
% 65.86/28.15 | (399) domain(all_0_1_1) = all_206_2_195
% 65.86/28.15 | (400) addition(all_206_1_194, all_206_0_193) = all_206_2_195
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (276) with all_208_0_196, all_208_1_197, all_208_2_198 yields:
% 65.86/28.15 | (401) (all_208_0_196 = 0 & star(all_0_2_2) = all_208_2_198 & leq(all_208_1_197, all_0_1_1) = 0 & multiplication(all_208_2_198, one) = all_208_1_197) | ( ~ (all_208_2_198 = 0) & leq(all_19_0_16, all_0_1_1) = all_208_2_198)
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (253) with all_213_0_201, all_213_1_202, all_213_2_203 yields:
% 65.86/28.15 | (402) domain(all_49_0_34) = all_213_1_202 & domain(one) = all_213_0_201 & domain(one) = all_213_2_203 & addition(all_213_1_202, all_213_0_201) = all_213_2_203
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (402) yields:
% 65.86/28.15 | (403) domain(all_49_0_34) = all_213_1_202
% 65.86/28.15 | (404) domain(one) = all_213_0_201
% 65.86/28.15 | (405) domain(one) = all_213_2_203
% 65.86/28.15 | (406) addition(all_213_1_202, all_213_0_201) = all_213_2_203
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (248) with all_219_0_206, all_219_1_207 yields:
% 65.86/28.15 | (407) leq(all_219_0_206, all_67_2_58) = 0 & multiplication(zero, all_67_2_58) = all_219_1_207 & addition(one, all_219_1_207) = all_219_0_206
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (407) yields:
% 65.86/28.15 | (408) leq(all_219_0_206, all_67_2_58) = 0
% 65.86/28.15 | (409) multiplication(zero, all_67_2_58) = all_219_1_207
% 65.86/28.15 | (410) addition(one, all_219_1_207) = all_219_0_206
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (249) with all_223_0_209, all_223_1_210, all_223_2_211 yields:
% 65.86/28.15 | (411) (all_223_0_209 = 0 & star(zero) = all_223_2_211 & leq(all_223_1_210, all_67_2_58) = 0 & multiplication(one, all_223_2_211) = all_223_1_210) | ( ~ (all_223_2_211 = 0) & leq(one, all_67_2_58) = all_223_2_211)
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (247) with all_226_0_213, all_226_1_214 yields:
% 65.86/28.15 | (412) leq(all_226_0_213, all_67_2_58) = 0 & multiplication(all_67_2_58, zero) = all_226_1_214 & addition(one, all_226_1_214) = all_226_0_213
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (412) yields:
% 65.86/28.15 | (413) leq(all_226_0_213, all_67_2_58) = 0
% 65.86/28.15 | (414) multiplication(all_67_2_58, zero) = all_226_1_214
% 65.86/28.15 | (415) addition(one, all_226_1_214) = all_226_0_213
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (246) with all_228_0_215 yields:
% 65.86/28.15 | (416) multiplication(all_47_2_33, one) = all_228_0_215 & addition(one, all_228_0_215) = all_228_0_215
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (416) yields:
% 65.86/28.15 | (417) multiplication(all_47_2_33, one) = all_228_0_215
% 65.86/28.15 | (418) addition(one, all_228_0_215) = all_228_0_215
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (300) with all_242_0_224 yields:
% 65.86/28.15 | (419) addition(all_47_2_33, all_56_0_42) = all_242_0_224 & addition(zero, all_242_0_224) = all_56_2_44
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (419) yields:
% 65.86/28.15 | (420) addition(all_47_2_33, all_56_0_42) = all_242_0_224
% 65.86/28.15 | (421) addition(zero, all_242_0_224) = all_56_2_44
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (302) with all_247_0_229 yields:
% 65.86/28.15 | (422) addition(all_23_0_19, all_0_1_1) = all_247_0_229 & addition(zero, all_247_0_229) = all_0_1_1
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (422) yields:
% 65.86/28.15 | (423) addition(all_23_0_19, all_0_1_1) = all_247_0_229
% 65.86/28.15 | (424) addition(zero, all_247_0_229) = all_0_1_1
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (304) with all_249_0_230 yields:
% 65.86/28.15 | (425) addition(all_249_0_230, all_23_0_19) = all_23_0_19 & addition(zero, all_0_0_0) = all_249_0_230
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (425) yields:
% 65.86/28.15 | (426) addition(all_249_0_230, all_23_0_19) = all_23_0_19
% 65.86/28.15 | (427) addition(zero, all_0_0_0) = all_249_0_230
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (255) with all_257_0_238 yields:
% 65.86/28.15 | (428) addition(all_47_1_32, all_257_0_238) = all_70_2_62 & addition(all_47_2_33, all_37_2_24) = all_257_0_238
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (428) yields:
% 65.86/28.15 | (429) addition(all_47_1_32, all_257_0_238) = all_70_2_62
% 65.86/28.15 | (430) addition(all_47_2_33, all_37_2_24) = all_257_0_238
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (259) with all_261_0_240 yields:
% 65.86/28.15 | (431) addition(all_23_1_20, all_0_1_1) = all_261_0_240 & addition(one, all_261_0_240) = all_0_1_1
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (431) yields:
% 65.86/28.15 | (432) addition(all_23_1_20, all_0_1_1) = all_261_0_240
% 65.86/28.15 | (433) addition(one, all_261_0_240) = all_0_1_1
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (305) with all_263_0_241 yields:
% 65.86/28.15 | (434) addition(all_263_0_241, one) = all_19_0_16 & addition(zero, all_19_1_17) = all_263_0_241
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (434) yields:
% 65.86/28.15 | (435) addition(all_263_0_241, one) = all_19_0_16
% 65.86/28.15 | (436) addition(zero, all_19_1_17) = all_263_0_241
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (295) with all_271_0_255, all_271_1_256, all_271_2_257 yields:
% 65.86/28.15 | (437) domain(all_0_0_0) = all_271_0_255 & domain(one) = all_271_1_256 & domain(one) = all_271_2_257 & addition(all_271_1_256, all_271_0_255) = all_271_2_257
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (437) yields:
% 65.86/28.15 | (438) domain(all_0_0_0) = all_271_0_255
% 65.86/28.15 | (439) domain(one) = all_271_1_256
% 65.86/28.15 | (440) domain(one) = all_271_2_257
% 65.86/28.15 | (441) addition(all_271_1_256, all_271_0_255) = all_271_2_257
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (291) with all_273_0_258 yields:
% 65.86/28.15 | (442) addition(all_273_0_258, all_0_1_1) = all_0_1_1 & addition(all_0_1_1, all_19_0_16) = all_273_0_258
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (442) yields:
% 65.86/28.15 | (443) addition(all_273_0_258, all_0_1_1) = all_0_1_1
% 65.86/28.15 | (444) addition(all_0_1_1, all_19_0_16) = all_273_0_258
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (290) with all_277_0_260 yields:
% 65.86/28.15 | (445) addition(all_277_0_260, all_0_1_1) = all_0_1_1 & addition(all_0_1_1, all_23_0_19) = all_277_0_260
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (445) yields:
% 65.86/28.15 | (446) addition(all_277_0_260, all_0_1_1) = all_0_1_1
% 65.86/28.15 | (447) addition(all_0_1_1, all_23_0_19) = all_277_0_260
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (306) with all_286_0_270 yields:
% 65.86/28.15 | (448) addition(all_286_0_270, all_19_0_16) = all_19_0_16 & addition(zero, all_0_0_0) = all_286_0_270
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (448) yields:
% 65.86/28.15 | (449) addition(all_286_0_270, all_19_0_16) = all_19_0_16
% 65.86/28.15 | (450) addition(zero, all_0_0_0) = all_286_0_270
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (257) with all_291_0_276, all_291_1_277 yields:
% 65.86/28.15 | (451) multiplication(all_0_0_0, all_23_0_19) = all_291_1_277 & multiplication(all_0_0_0, all_0_1_1) = all_291_0_276 & addition(all_291_1_277, all_291_0_276) = all_25_0_21
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (451) yields:
% 65.86/28.15 | (452) multiplication(all_0_0_0, all_23_0_19) = all_291_1_277
% 65.86/28.15 | (453) multiplication(all_0_0_0, all_0_1_1) = all_291_0_276
% 65.86/28.15 | (454) addition(all_291_1_277, all_291_0_276) = all_25_0_21
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (256) with all_293_0_278, all_293_1_279, all_293_2_280 yields:
% 65.86/28.15 | (455) domain(all_25_0_21) = all_293_1_279 & domain(all_25_0_21) = all_293_2_280 & domain(all_0_1_1) = all_293_0_278 & addition(all_293_1_279, all_293_0_278) = all_293_2_280
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (455) yields:
% 65.86/28.15 | (456) domain(all_25_0_21) = all_293_1_279
% 65.86/28.15 | (457) domain(all_25_0_21) = all_293_2_280
% 65.86/28.15 | (458) domain(all_0_1_1) = all_293_0_278
% 65.86/28.15 | (459) addition(all_293_1_279, all_293_0_278) = all_293_2_280
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (309) with all_301_0_289 yields:
% 65.86/28.15 | (460) addition(zero, all_301_0_289) = all_49_0_34 & addition(zero, all_0_0_0) = all_301_0_289
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (460) yields:
% 65.86/28.15 | (461) addition(zero, all_301_0_289) = all_49_0_34
% 65.86/28.15 | (462) addition(zero, all_0_0_0) = all_301_0_289
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (308) with all_303_0_290 yields:
% 65.86/28.15 | (463) domain(all_303_0_290) = all_49_0_34 & addition(zero, all_0_1_1) = all_303_0_290
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (463) yields:
% 65.86/28.15 | (464) domain(all_303_0_290) = all_49_0_34
% 65.86/28.15 | (465) addition(zero, all_0_1_1) = all_303_0_290
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (298) with all_318_0_309 yields:
% 65.86/28.15 | (466) addition(one, all_318_0_309) = one & addition(zero, all_0_0_0) = all_318_0_309
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (466) yields:
% 65.86/28.15 | (467) addition(one, all_318_0_309) = one
% 65.86/28.15 | (468) addition(zero, all_0_0_0) = all_318_0_309
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (299) with all_320_0_310, all_320_1_311, all_320_2_312 yields:
% 65.86/28.15 | (469) domain(one) = all_320_1_311 & domain(one) = all_320_2_312 & domain(zero) = all_320_0_310 & addition(all_320_1_311, all_320_0_310) = all_320_2_312
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (469) yields:
% 65.86/28.15 | (470) domain(one) = all_320_1_311
% 65.86/28.15 | (471) domain(one) = all_320_2_312
% 65.86/28.15 | (472) domain(zero) = all_320_0_310
% 65.86/28.15 | (473) addition(all_320_1_311, all_320_0_310) = all_320_2_312
% 65.86/28.15 |
% 65.86/28.15 | Instantiating (307) with all_324_0_319, all_324_1_320, all_324_2_321 yields:
% 65.86/28.15 | (474) domain(all_19_0_16) = all_324_0_319 & domain(all_19_0_16) = all_324_2_321 & domain(zero) = all_324_1_320 & addition(all_324_1_320, all_324_0_319) = all_324_2_321
% 65.86/28.15 |
% 65.86/28.15 | Applying alpha-rule on (474) yields:
% 65.86/28.15 | (475) domain(all_19_0_16) = all_324_0_319
% 65.86/28.15 | (476) domain(all_19_0_16) = all_324_2_321
% 65.86/28.15 | (477) domain(zero) = all_324_1_320
% 65.86/28.15 | (478) addition(all_324_1_320, all_324_0_319) = all_324_2_321
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (289) with all_331_0_328, all_331_1_329 yields:
% 65.86/28.16 | (479) multiplication(all_0_0_0, all_0_1_1) = all_331_0_328 & multiplication(all_0_0_0, all_0_1_1) = all_331_1_329 & addition(all_331_1_329, all_331_0_328) = all_25_0_21
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (479) yields:
% 65.86/28.16 | (480) multiplication(all_0_0_0, all_0_1_1) = all_331_0_328
% 65.86/28.16 | (481) multiplication(all_0_0_0, all_0_1_1) = all_331_1_329
% 65.86/28.16 | (482) addition(all_331_1_329, all_331_0_328) = all_25_0_21
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (285) with all_333_0_330, all_333_1_331, all_333_2_332 yields:
% 65.86/28.16 | (483) domain(all_19_0_16) = all_333_0_330 & domain(all_19_0_16) = all_333_2_332 & domain(all_0_0_0) = all_333_1_331 & addition(all_333_1_331, all_333_0_330) = all_333_2_332
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (483) yields:
% 65.86/28.16 | (484) domain(all_19_0_16) = all_333_0_330
% 65.86/28.16 | (485) domain(all_19_0_16) = all_333_2_332
% 65.86/28.16 | (486) domain(all_0_0_0) = all_333_1_331
% 65.86/28.16 | (487) addition(all_333_1_331, all_333_0_330) = all_333_2_332
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (297) with all_357_0_352 yields:
% 65.86/28.16 | (488) addition(one, all_357_0_352) = all_19_0_16 & addition(zero, all_19_1_17) = all_357_0_352
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (488) yields:
% 65.86/28.16 | (489) addition(one, all_357_0_352) = all_19_0_16
% 65.86/28.16 | (490) addition(zero, all_19_1_17) = all_357_0_352
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (293) with all_359_0_353 yields:
% 65.86/28.16 | (491) addition(all_0_0_0, all_19_1_17) = all_359_0_353 & addition(one, all_359_0_353) = all_19_0_16
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (491) yields:
% 65.86/28.16 | (492) addition(all_0_0_0, all_19_1_17) = all_359_0_353
% 65.86/28.16 | (493) addition(one, all_359_0_353) = all_19_0_16
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (292) with all_361_0_354 yields:
% 65.86/28.16 | (494) addition(all_0_0_0, all_23_1_20) = all_361_0_354 & addition(one, all_361_0_354) = all_23_0_19
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (494) yields:
% 65.86/28.16 | (495) addition(all_0_0_0, all_23_1_20) = all_361_0_354
% 65.86/28.16 | (496) addition(one, all_361_0_354) = all_23_0_19
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (282) with all_363_0_355 yields:
% 65.86/28.16 | (497) addition(all_363_0_355, one) = all_23_0_19 & addition(all_0_0_0, all_23_1_20) = all_363_0_355
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (497) yields:
% 65.86/28.16 | (498) addition(all_363_0_355, one) = all_23_0_19
% 65.86/28.16 | (499) addition(all_0_0_0, all_23_1_20) = all_363_0_355
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (273) with all_367_0_357 yields:
% 65.86/28.16 | (500) addition(all_367_0_357, all_0_1_1) = all_0_1_1 & addition(all_23_0_19, all_19_0_16) = all_367_0_357
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (500) yields:
% 65.86/28.16 | (501) addition(all_367_0_357, all_0_1_1) = all_0_1_1
% 65.86/28.16 | (502) addition(all_23_0_19, all_19_0_16) = all_367_0_357
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (271) with all_369_0_358 yields:
% 65.86/28.16 | (503) addition(all_369_0_358, all_0_1_1) = all_25_0_21 & addition(all_25_0_21, all_19_0_16) = all_369_0_358
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (503) yields:
% 65.86/28.16 | (504) addition(all_369_0_358, all_0_1_1) = all_25_0_21
% 65.86/28.16 | (505) addition(all_25_0_21, all_19_0_16) = all_369_0_358
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (270) with all_373_0_365 yields:
% 65.86/28.16 | (506) addition(all_19_1_17, all_0_1_1) = all_373_0_365 & addition(one, all_373_0_365) = all_0_1_1
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (506) yields:
% 65.86/28.16 | (507) addition(all_19_1_17, all_0_1_1) = all_373_0_365
% 65.86/28.16 | (508) addition(one, all_373_0_365) = all_0_1_1
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (296) with all_375_0_366 yields:
% 65.86/28.16 | (509) addition(one, all_375_0_366) = all_23_0_19 & addition(zero, all_23_1_20) = all_375_0_366
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (509) yields:
% 65.86/28.16 | (510) addition(one, all_375_0_366) = all_23_0_19
% 65.86/28.16 | (511) addition(zero, all_23_1_20) = all_375_0_366
% 65.86/28.16 |
% 65.86/28.16 | Instantiating (272) with all_377_0_367 yields:
% 65.86/28.16 | (512) addition(all_377_0_367, all_0_1_1) = all_0_1_1 & addition(all_19_0_16, all_23_0_19) = all_377_0_367
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (512) yields:
% 65.86/28.16 | (513) addition(all_377_0_367, all_0_1_1) = all_0_1_1
% 65.86/28.16 | (514) addition(all_19_0_16, all_23_0_19) = all_377_0_367
% 65.86/28.16 |
% 65.86/28.16 +-Applying beta-rule and splitting (401), into two cases.
% 65.86/28.16 |-Branch one:
% 65.86/28.16 | (515) all_208_0_196 = 0 & star(all_0_2_2) = all_208_2_198 & leq(all_208_1_197, all_0_1_1) = 0 & multiplication(all_208_2_198, one) = all_208_1_197
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (515) yields:
% 65.86/28.16 | (516) all_208_0_196 = 0
% 65.86/28.16 | (517) star(all_0_2_2) = all_208_2_198
% 65.86/28.16 | (518) leq(all_208_1_197, all_0_1_1) = 0
% 65.86/28.16 | (519) multiplication(all_208_2_198, one) = all_208_1_197
% 65.86/28.16 |
% 65.86/28.16 +-Applying beta-rule and splitting (294), into two cases.
% 65.86/28.16 |-Branch one:
% 65.86/28.16 | (520) all_0_0_0 = one
% 65.86/28.16 |
% 65.86/28.16 | Equations (520) can reduce 9 to:
% 65.86/28.16 | (521) $false
% 65.86/28.16 |
% 65.86/28.16 |-The branch is then unsatisfiable
% 65.86/28.16 |-Branch two:
% 65.86/28.16 | (9) ~ (all_0_0_0 = one)
% 65.86/28.16 | (523) ? [v0] : ( ~ (v0 = 0) & leq(one, all_0_0_0) = v0)
% 65.86/28.16 |
% 65.86/28.16 +-Applying beta-rule and splitting (357), into two cases.
% 65.86/28.16 |-Branch one:
% 65.86/28.16 | (524) all_152_0_132 = 0 & star(all_0_2_2) = all_152_2_134 & leq(all_152_1_133, all_0_1_1) = 0 & multiplication(one, all_152_2_134) = all_152_1_133
% 65.86/28.16 |
% 65.86/28.16 | Applying alpha-rule on (524) yields:
% 65.86/28.16 | (525) all_152_0_132 = 0
% 65.86/28.16 | (526) star(all_0_2_2) = all_152_2_134
% 65.86/28.16 | (527) leq(all_152_1_133, all_0_1_1) = 0
% 65.86/28.16 | (528) multiplication(one, all_152_2_134) = all_152_1_133
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_23_0_19, all_191_0_178, all_70_2_62 and discharging atoms domain(all_23_0_19) = all_191_0_178, domain(all_23_0_19) = all_70_2_62, yields:
% 65.86/28.16 | (529) all_191_0_178 = all_70_2_62
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_23_0_19, all_191_2_180, all_191_0_178 and discharging atoms domain(all_23_0_19) = all_191_0_178, domain(all_23_0_19) = all_191_2_180, yields:
% 65.86/28.16 | (530) all_191_0_178 = all_191_2_180
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_23_0_19, all_153_1_136, all_191_2_180 and discharging atoms domain(all_23_0_19) = all_191_2_180, domain(all_23_0_19) = all_153_1_136, yields:
% 65.86/28.16 | (531) all_191_2_180 = all_153_1_136
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_23_0_19, all_126_2_105, all_153_1_136 and discharging atoms domain(all_23_0_19) = all_153_1_136, domain(all_23_0_19) = all_126_2_105, yields:
% 65.86/28.16 | (532) all_153_1_136 = all_126_2_105
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_23_1_20, all_126_1_104, all_37_2_24 and discharging atoms domain(all_23_1_20) = all_126_1_104, domain(all_23_1_20) = all_37_2_24, yields:
% 65.86/28.16 | (533) all_126_1_104 = all_37_2_24
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_19_0_16, all_333_2_332, all_333_0_330 and discharging atoms domain(all_19_0_16) = all_333_0_330, domain(all_19_0_16) = all_333_2_332, yields:
% 65.86/28.16 | (534) all_333_0_330 = all_333_2_332
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_19_0_16, all_324_0_319, all_56_2_44 and discharging atoms domain(all_19_0_16) = all_324_0_319, domain(all_19_0_16) = all_56_2_44, yields:
% 65.86/28.16 | (535) all_324_0_319 = all_56_2_44
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_19_0_16, all_324_2_321, all_324_0_319 and discharging atoms domain(all_19_0_16) = all_324_0_319, domain(all_19_0_16) = all_324_2_321, yields:
% 65.86/28.16 | (536) all_324_0_319 = all_324_2_321
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_19_0_16, all_206_1_194, all_333_0_330 and discharging atoms domain(all_19_0_16) = all_333_0_330, domain(all_19_0_16) = all_206_1_194, yields:
% 65.86/28.16 | (537) all_333_0_330 = all_206_1_194
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_19_0_16, all_206_1_194, all_324_0_319 and discharging atoms domain(all_19_0_16) = all_324_0_319, domain(all_19_0_16) = all_206_1_194, yields:
% 65.86/28.16 | (538) all_324_0_319 = all_206_1_194
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_19_0_16, all_200_2_190, all_333_0_330 and discharging atoms domain(all_19_0_16) = all_333_0_330, domain(all_19_0_16) = all_200_2_190, yields:
% 65.86/28.16 | (539) all_333_0_330 = all_200_2_190
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_19_1_17, all_200_1_189, all_56_0_42 and discharging atoms domain(all_19_1_17) = all_200_1_189, domain(all_19_1_17) = all_56_0_42, yields:
% 65.86/28.16 | (540) all_200_1_189 = all_56_0_42
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_0_1_1, all_206_0_193, all_293_0_278 and discharging atoms domain(all_0_1_1) = all_293_0_278, domain(all_0_1_1) = all_206_0_193, yields:
% 65.86/28.16 | (541) all_293_0_278 = all_206_0_193
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_0_1_1, all_206_2_195, all_206_0_193 and discharging atoms domain(all_0_1_1) = all_206_0_193, domain(all_0_1_1) = all_206_2_195, yields:
% 65.86/28.16 | (542) all_206_0_193 = all_206_2_195
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_0_1_1, all_153_0_135, all_0_0_0 and discharging atoms domain(all_0_1_1) = all_153_0_135, domain(all_0_1_1) = all_0_0_0, yields:
% 65.86/28.16 | (543) all_153_0_135 = all_0_0_0
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_0_1_1, all_153_0_135, all_206_2_195 and discharging atoms domain(all_0_1_1) = all_206_2_195, domain(all_0_1_1) = all_153_0_135, yields:
% 65.86/28.16 | (544) all_206_2_195 = all_153_0_135
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with all_0_1_1, all_153_2_137, all_293_0_278 and discharging atoms domain(all_0_1_1) = all_293_0_278, domain(all_0_1_1) = all_153_2_137, yields:
% 65.86/28.16 | (545) all_293_0_278 = all_153_2_137
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with one, all_320_2_312, all_320_1_311 and discharging atoms domain(one) = all_320_1_311, domain(one) = all_320_2_312, yields:
% 65.86/28.16 | (546) all_320_1_311 = all_320_2_312
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with one, all_271_2_257, all_271_1_256 and discharging atoms domain(one) = all_271_1_256, domain(one) = all_271_2_257, yields:
% 65.86/28.16 | (547) all_271_1_256 = all_271_2_257
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with one, all_213_0_201, all_47_2_33 and discharging atoms domain(one) = all_213_0_201, domain(one) = all_47_2_33, yields:
% 65.86/28.16 | (548) all_213_0_201 = all_47_2_33
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with one, all_213_0_201, all_320_2_312 and discharging atoms domain(one) = all_320_2_312, domain(one) = all_213_0_201, yields:
% 65.86/28.16 | (549) all_320_2_312 = all_213_0_201
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with one, all_213_2_203, all_320_2_312 and discharging atoms domain(one) = all_320_2_312, domain(one) = all_213_2_203, yields:
% 65.86/28.16 | (550) all_320_2_312 = all_213_2_203
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with one, all_213_2_203, all_271_1_256 and discharging atoms domain(one) = all_271_1_256, domain(one) = all_213_2_203, yields:
% 65.86/28.16 | (551) all_271_1_256 = all_213_2_203
% 65.86/28.16 |
% 65.86/28.16 | Instantiating formula (22) with one, all_200_0_188, all_320_1_311 and discharging atoms domain(one) = all_320_1_311, domain(one) = all_200_0_188, yields:
% 65.86/28.17 | (552) all_320_1_311 = all_200_0_188
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (22) with one, all_126_0_103, all_271_1_256 and discharging atoms domain(one) = all_271_1_256, domain(one) = all_126_0_103, yields:
% 65.86/28.17 | (553) all_271_1_256 = all_126_0_103
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (3) with all_0_2_2, all_208_2_198, all_0_1_1 and discharging atoms star(all_0_2_2) = all_208_2_198, star(all_0_2_2) = all_0_1_1, yields:
% 65.86/28.17 | (554) all_208_2_198 = all_0_1_1
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (3) with all_0_2_2, all_152_2_134, all_208_2_198 and discharging atoms star(all_0_2_2) = all_208_2_198, star(all_0_2_2) = all_152_2_134, yields:
% 65.86/28.17 | (555) all_208_2_198 = all_152_2_134
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (8) with all_208_1_197, all_208_2_198 and discharging atoms multiplication(all_208_2_198, one) = all_208_1_197, yields:
% 65.86/28.17 | (556) all_208_1_197 = all_208_2_198
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (11) with all_226_1_214, all_67_2_58 and discharging atoms multiplication(all_67_2_58, zero) = all_226_1_214, yields:
% 65.86/28.17 | (557) all_226_1_214 = zero
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (8) with all_228_0_215, all_47_2_33 and discharging atoms multiplication(all_47_2_33, one) = all_228_0_215, yields:
% 65.86/28.17 | (558) all_228_0_215 = all_47_2_33
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (21) with all_0_0_0, all_0_1_1, all_331_0_328, all_25_0_21 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_331_0_328, multiplication(all_0_0_0, all_0_1_1) = all_25_0_21, yields:
% 65.86/28.17 | (559) all_331_0_328 = all_25_0_21
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (21) with all_0_0_0, all_0_1_1, all_331_1_329, all_331_0_328 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_331_0_328, multiplication(all_0_0_0, all_0_1_1) = all_331_1_329, yields:
% 65.86/28.17 | (560) all_331_0_328 = all_331_1_329
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (21) with all_0_0_0, all_0_1_1, all_291_0_276, all_331_0_328 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_331_0_328, multiplication(all_0_0_0, all_0_1_1) = all_291_0_276, yields:
% 65.86/28.17 | (561) all_331_0_328 = all_291_0_276
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (21) with all_0_0_0, all_0_1_1, all_193_1_182, all_291_0_276 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_291_0_276, multiplication(all_0_0_0, all_0_1_1) = all_193_1_182, yields:
% 65.86/28.17 | (562) all_291_0_276 = all_193_1_182
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (21) with all_0_0_0, all_0_1_1, all_122_0_100, all_193_1_182 and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_193_1_182, multiplication(all_0_0_0, all_0_1_1) = all_122_0_100, yields:
% 65.86/28.17 | (563) all_193_1_182 = all_122_0_100
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (16) with all_152_1_133, all_152_2_134 and discharging atoms multiplication(one, all_152_2_134) = all_152_1_133, yields:
% 65.86/28.17 | (564) all_152_1_133 = all_152_2_134
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (44) with all_219_1_207, all_67_2_58 and discharging atoms multiplication(zero, all_67_2_58) = all_219_1_207, yields:
% 65.86/28.17 | (565) all_219_1_207 = zero
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_47_2_33, all_56_0_42, all_242_0_224, all_56_2_44 and discharging atoms addition(all_47_2_33, all_56_0_42) = all_242_0_224, addition(all_47_2_33, all_56_0_42) = all_56_2_44, yields:
% 65.86/28.17 | (566) all_242_0_224 = all_56_2_44
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_47_2_33, all_56_0_42, all_181_0_172, all_242_0_224 and discharging atoms addition(all_47_2_33, all_56_0_42) = all_242_0_224, addition(all_47_2_33, all_56_0_42) = all_181_0_172, yields:
% 65.86/28.17 | (567) all_242_0_224 = all_181_0_172
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_47_2_33, all_37_2_24, all_257_0_238, all_70_2_62 and discharging atoms addition(all_47_2_33, all_37_2_24) = all_257_0_238, addition(all_47_2_33, all_37_2_24) = all_70_2_62, yields:
% 65.86/28.17 | (568) all_257_0_238 = all_70_2_62
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_47_2_33, all_37_2_24, all_95_0_70, all_257_0_238 and discharging atoms addition(all_47_2_33, all_37_2_24) = all_257_0_238, addition(all_47_2_33, all_37_2_24) = all_95_0_70, yields:
% 65.86/28.17 | (569) all_257_0_238 = all_95_0_70
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_23_0_19, all_0_1_1, all_247_0_229, all_0_1_1 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_247_0_229, addition(all_23_0_19, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.17 | (570) all_247_0_229 = all_0_1_1
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_23_0_19, all_0_1_1, all_116_0_96, all_247_0_229 and discharging atoms addition(all_23_0_19, all_0_1_1) = all_247_0_229, addition(all_23_0_19, all_0_1_1) = all_116_0_96, yields:
% 65.86/28.17 | (571) all_247_0_229 = all_116_0_96
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_0_0_0, all_23_1_20, all_361_0_354, all_363_0_355 and discharging atoms addition(all_0_0_0, all_23_1_20) = all_363_0_355, addition(all_0_0_0, all_23_1_20) = all_361_0_354, yields:
% 65.86/28.17 | (572) all_363_0_355 = all_361_0_354
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_0_0_0, all_19_1_17, all_183_0_173, all_359_0_353 and discharging atoms addition(all_0_0_0, all_19_1_17) = all_359_0_353, addition(all_0_0_0, all_19_1_17) = all_183_0_173, yields:
% 65.86/28.17 | (573) all_359_0_353 = all_183_0_173
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_0_1_1, all_25_0_21, all_118_0_97, all_25_0_21 and discharging atoms addition(all_0_1_1, all_25_0_21) = all_118_0_97, addition(all_0_1_1, all_25_0_21) = all_25_0_21, yields:
% 65.86/28.17 | (574) all_118_0_97 = all_25_0_21
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_0_1_1, all_25_0_21, all_99_0_72, all_118_0_97 and discharging atoms addition(all_0_1_1, all_25_0_21) = all_118_0_97, addition(all_0_1_1, all_25_0_21) = all_99_0_72, yields:
% 65.86/28.17 | (575) all_118_0_97 = all_99_0_72
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_0_1_1, all_23_0_19, all_0_1_1, all_277_0_260 and discharging atoms addition(all_0_1_1, all_23_0_19) = all_277_0_260, addition(all_0_1_1, all_23_0_19) = all_0_1_1, yields:
% 65.86/28.17 | (576) all_277_0_260 = all_0_1_1
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with all_0_1_1, all_19_0_16, all_0_1_1, all_273_0_258 and discharging atoms addition(all_0_1_1, all_19_0_16) = all_273_0_258, addition(all_0_1_1, all_19_0_16) = all_0_1_1, yields:
% 65.86/28.17 | (577) all_273_0_258 = all_0_1_1
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with one, all_0_1_1, all_124_0_102, all_197_0_184 and discharging atoms addition(one, all_0_1_1) = all_197_0_184, addition(one, all_0_1_1) = all_124_0_102, yields:
% 65.86/28.17 | (578) all_197_0_184 = all_124_0_102
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_23_1_20, all_148_0_125, all_375_0_366 and discharging atoms addition(zero, all_23_1_20) = all_375_0_366, addition(zero, all_23_1_20) = all_148_0_125, yields:
% 65.86/28.17 | (579) all_375_0_366 = all_148_0_125
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_19_1_17, all_263_0_241, all_357_0_352 and discharging atoms addition(zero, all_19_1_17) = all_357_0_352, addition(zero, all_19_1_17) = all_263_0_241, yields:
% 65.86/28.17 | (580) all_357_0_352 = all_263_0_241
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_0_0_0, all_318_0_309, all_49_0_34 and discharging atoms addition(zero, all_0_0_0) = all_318_0_309, addition(zero, all_0_0_0) = all_49_0_34, yields:
% 65.86/28.17 | (581) all_318_0_309 = all_49_0_34
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_0_0_0, all_286_0_270, all_318_0_309 and discharging atoms addition(zero, all_0_0_0) = all_318_0_309, addition(zero, all_0_0_0) = all_286_0_270, yields:
% 65.86/28.17 | (582) all_318_0_309 = all_286_0_270
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_0_0_0, all_286_0_270, all_301_0_289 and discharging atoms addition(zero, all_0_0_0) = all_301_0_289, addition(zero, all_0_0_0) = all_286_0_270, yields:
% 65.86/28.17 | (583) all_301_0_289 = all_286_0_270
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_0_0_0, all_249_0_230, all_301_0_289 and discharging atoms addition(zero, all_0_0_0) = all_301_0_289, addition(zero, all_0_0_0) = all_249_0_230, yields:
% 65.86/28.17 | (584) all_301_0_289 = all_249_0_230
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_0_0_0, all_185_0_174, all_318_0_309 and discharging atoms addition(zero, all_0_0_0) = all_318_0_309, addition(zero, all_0_0_0) = all_185_0_174, yields:
% 65.86/28.17 | (585) all_318_0_309 = all_185_0_174
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_0_0_0, all_146_0_124, all_286_0_270 and discharging atoms addition(zero, all_0_0_0) = all_286_0_270, addition(zero, all_0_0_0) = all_146_0_124, yields:
% 65.86/28.17 | (586) all_286_0_270 = all_146_0_124
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_0_0_0, all_144_0_123, all_318_0_309 and discharging atoms addition(zero, all_0_0_0) = all_318_0_309, addition(zero, all_0_0_0) = all_144_0_123, yields:
% 65.86/28.17 | (587) all_318_0_309 = all_144_0_123
% 65.86/28.17 |
% 65.86/28.17 | Instantiating formula (24) with zero, all_0_0_0, all_0_0_0, all_144_0_123 and discharging atoms addition(zero, all_0_0_0) = all_144_0_123, addition(zero, all_0_0_0) = all_0_0_0, yields:
% 65.86/28.17 | (588) all_144_0_123 = all_0_0_0
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (539,534) yields a new equation:
% 65.86/28.17 | (589) all_333_2_332 = all_200_2_190
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (537,534) yields a new equation:
% 65.86/28.17 | (590) all_333_2_332 = all_206_1_194
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (590,589) yields a new equation:
% 65.86/28.17 | (591) all_206_1_194 = all_200_2_190
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 591 yields:
% 65.86/28.17 | (592) all_206_1_194 = all_200_2_190
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (561,560) yields a new equation:
% 65.86/28.17 | (593) all_331_1_329 = all_291_0_276
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (559,560) yields a new equation:
% 65.86/28.17 | (594) all_331_1_329 = all_25_0_21
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (593,594) yields a new equation:
% 65.86/28.17 | (595) all_291_0_276 = all_25_0_21
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 595 yields:
% 65.86/28.17 | (596) all_291_0_276 = all_25_0_21
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (535,536) yields a new equation:
% 65.86/28.17 | (597) all_324_2_321 = all_56_2_44
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (538,536) yields a new equation:
% 65.86/28.17 | (598) all_324_2_321 = all_206_1_194
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (598,597) yields a new equation:
% 65.86/28.17 | (599) all_206_1_194 = all_56_2_44
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 599 yields:
% 65.86/28.17 | (600) all_206_1_194 = all_56_2_44
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (546,552) yields a new equation:
% 65.86/28.17 | (601) all_320_2_312 = all_200_0_188
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 601 yields:
% 65.86/28.17 | (602) all_320_2_312 = all_200_0_188
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (550,602) yields a new equation:
% 65.86/28.17 | (603) all_213_2_203 = all_200_0_188
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 603 yields:
% 65.86/28.17 | (604) all_213_2_203 = all_200_0_188
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (549,602) yields a new equation:
% 65.86/28.17 | (605) all_213_0_201 = all_200_0_188
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 605 yields:
% 65.86/28.17 | (606) all_213_0_201 = all_200_0_188
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (581,585) yields a new equation:
% 65.86/28.17 | (607) all_185_0_174 = all_49_0_34
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (587,585) yields a new equation:
% 65.86/28.17 | (608) all_185_0_174 = all_144_0_123
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (582,585) yields a new equation:
% 65.86/28.17 | (609) all_286_0_270 = all_185_0_174
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 609 yields:
% 65.86/28.17 | (610) all_286_0_270 = all_185_0_174
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (583,584) yields a new equation:
% 65.86/28.17 | (611) all_286_0_270 = all_249_0_230
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 611 yields:
% 65.86/28.17 | (612) all_286_0_270 = all_249_0_230
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (541,545) yields a new equation:
% 65.86/28.17 | (613) all_206_0_193 = all_153_2_137
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 613 yields:
% 65.86/28.17 | (614) all_206_0_193 = all_153_2_137
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (562,596) yields a new equation:
% 65.86/28.17 | (615) all_193_1_182 = all_25_0_21
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 615 yields:
% 65.86/28.17 | (616) all_193_1_182 = all_25_0_21
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (586,612) yields a new equation:
% 65.86/28.17 | (617) all_249_0_230 = all_146_0_124
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (610,612) yields a new equation:
% 65.86/28.17 | (618) all_249_0_230 = all_185_0_174
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (551,547) yields a new equation:
% 65.86/28.17 | (619) all_271_2_257 = all_213_2_203
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (553,547) yields a new equation:
% 65.86/28.17 | (620) all_271_2_257 = all_126_0_103
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (619,620) yields a new equation:
% 65.86/28.17 | (621) all_213_2_203 = all_126_0_103
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 621 yields:
% 65.86/28.17 | (622) all_213_2_203 = all_126_0_103
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (569,568) yields a new equation:
% 65.86/28.17 | (623) all_95_0_70 = all_70_2_62
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 623 yields:
% 65.86/28.17 | (624) all_95_0_70 = all_70_2_62
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (618,617) yields a new equation:
% 65.86/28.17 | (625) all_185_0_174 = all_146_0_124
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 625 yields:
% 65.86/28.17 | (626) all_185_0_174 = all_146_0_124
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (570,571) yields a new equation:
% 65.86/28.17 | (627) all_116_0_96 = all_0_1_1
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (567,566) yields a new equation:
% 65.86/28.17 | (628) all_181_0_172 = all_56_2_44
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 628 yields:
% 65.86/28.17 | (629) all_181_0_172 = all_56_2_44
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (606,548) yields a new equation:
% 65.86/28.17 | (630) all_200_0_188 = all_47_2_33
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 630 yields:
% 65.86/28.17 | (631) all_200_0_188 = all_47_2_33
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (604,622) yields a new equation:
% 65.86/28.17 | (632) all_200_0_188 = all_126_0_103
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 632 yields:
% 65.86/28.17 | (633) all_200_0_188 = all_126_0_103
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (554,555) yields a new equation:
% 65.86/28.17 | (634) all_152_2_134 = all_0_1_1
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (542,614) yields a new equation:
% 65.86/28.17 | (635) all_206_2_195 = all_153_2_137
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 635 yields:
% 65.86/28.17 | (636) all_206_2_195 = all_153_2_137
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (592,600) yields a new equation:
% 65.86/28.17 | (637) all_200_2_190 = all_56_2_44
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 637 yields:
% 65.86/28.17 | (638) all_200_2_190 = all_56_2_44
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (544,636) yields a new equation:
% 65.86/28.17 | (639) all_153_0_135 = all_153_2_137
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 639 yields:
% 65.86/28.17 | (640) all_153_0_135 = all_153_2_137
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (631,633) yields a new equation:
% 65.86/28.17 | (641) all_126_0_103 = all_47_2_33
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (563,616) yields a new equation:
% 65.86/28.17 | (642) all_122_0_100 = all_25_0_21
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 642 yields:
% 65.86/28.17 | (643) all_122_0_100 = all_25_0_21
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (530,529) yields a new equation:
% 65.86/28.17 | (644) all_191_2_180 = all_70_2_62
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 644 yields:
% 65.86/28.17 | (645) all_191_2_180 = all_70_2_62
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (531,645) yields a new equation:
% 65.86/28.17 | (646) all_153_1_136 = all_70_2_62
% 65.86/28.17 |
% 65.86/28.17 | Simplifying 646 yields:
% 65.86/28.17 | (647) all_153_1_136 = all_70_2_62
% 65.86/28.17 |
% 65.86/28.17 | Combining equations (607,626) yields a new equation:
% 65.86/28.17 | (648) all_146_0_124 = all_49_0_34
% 65.86/28.17 |
% 65.86/28.18 | Combining equations (608,626) yields a new equation:
% 65.86/28.18 | (649) all_146_0_124 = all_144_0_123
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (543,640) yields a new equation:
% 65.86/28.18 | (650) all_153_2_137 = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (647,532) yields a new equation:
% 65.86/28.18 | (651) all_126_2_105 = all_70_2_62
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (649,648) yields a new equation:
% 65.86/28.18 | (652) all_144_0_123 = all_49_0_34
% 65.86/28.18 |
% 65.86/28.18 | Simplifying 652 yields:
% 65.86/28.18 | (653) all_144_0_123 = all_49_0_34
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (588,653) yields a new equation:
% 65.86/28.18 | (654) all_49_0_34 = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (574,575) yields a new equation:
% 65.86/28.18 | (655) all_99_0_72 = all_25_0_21
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (634,564) yields a new equation:
% 65.86/28.18 | (656) all_152_1_133 = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (651,532) yields a new equation:
% 65.86/28.18 | (647) all_153_1_136 = all_70_2_62
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (650,640) yields a new equation:
% 65.86/28.18 | (543) all_153_0_135 = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (641,633) yields a new equation:
% 65.86/28.18 | (631) all_200_0_188 = all_47_2_33
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (650,636) yields a new equation:
% 65.86/28.18 | (660) all_206_2_195 = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (650,614) yields a new equation:
% 65.86/28.18 | (661) all_206_0_193 = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (634,555) yields a new equation:
% 65.86/28.18 | (554) all_208_2_198 = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (554,556) yields a new equation:
% 65.86/28.18 | (663) all_208_1_197 = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (627,571) yields a new equation:
% 65.86/28.18 | (570) all_247_0_229 = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | From (654) and (464) follows:
% 65.86/28.18 | (665) domain(all_303_0_290) = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | From (641) and (343) follows:
% 65.86/28.18 | (119) domain(one) = all_47_2_33
% 65.86/28.18 |
% 65.86/28.18 | From (554)(663) and (519) follows:
% 65.86/28.18 | (667) multiplication(all_0_1_1, one) = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | From (558) and (417) follows:
% 65.86/28.18 | (668) multiplication(all_47_2_33, one) = all_47_2_33
% 65.86/28.18 |
% 65.86/28.18 | From (643) and (335) follows:
% 65.86/28.18 | (66) multiplication(all_0_0_0, all_0_1_1) = all_25_0_21
% 65.86/28.18 |
% 65.86/28.18 | From (634)(656) and (528) follows:
% 65.86/28.18 | (670) multiplication(one, all_0_1_1) = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | From (572) and (498) follows:
% 65.86/28.18 | (671) addition(all_361_0_354, one) = all_23_0_19
% 65.86/28.18 |
% 65.86/28.18 | From (600)(661)(660) and (400) follows:
% 65.86/28.18 | (672) addition(all_56_2_44, all_0_0_0) = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | From (540)(631)(638) and (389) follows:
% 65.86/28.18 | (673) addition(all_56_0_42, all_47_2_33) = all_56_2_44
% 65.86/28.18 |
% 65.86/28.18 | From (647)(543)(650) and (362) follows:
% 65.86/28.18 | (674) addition(all_70_2_62, all_0_0_0) = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | From (533)(641)(651) and (344) follows:
% 65.86/28.18 | (675) addition(all_37_2_24, all_47_2_33) = all_70_2_62
% 65.86/28.18 |
% 65.86/28.18 | From (629) and (365) follows:
% 65.86/28.18 | (676) addition(all_47_1_32, all_56_2_44) = all_56_2_44
% 65.86/28.18 |
% 65.86/28.18 | From (624) and (313) follows:
% 65.86/28.18 | (223) addition(all_47_2_33, all_37_2_24) = all_70_2_62
% 65.86/28.18 |
% 65.86/28.18 | From (654) and (323) follows:
% 65.86/28.18 | (678) addition(all_23_1_20, all_0_0_0) = all_107_0_84
% 65.86/28.18 |
% 65.86/28.18 | From (578) and (383) follows:
% 65.86/28.18 | (679) addition(all_19_1_17, all_124_0_102) = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | From (654) and (392) follows:
% 65.86/28.18 | (680) addition(all_19_1_17, all_0_0_0) = all_202_0_191
% 65.86/28.18 |
% 65.86/28.18 | From (655) and (320) follows:
% 65.86/28.18 | (67) addition(all_0_1_1, all_25_0_21) = all_25_0_21
% 65.86/28.18 |
% 65.86/28.18 | From (576) and (447) follows:
% 65.86/28.18 | (261) addition(all_0_1_1, all_23_0_19) = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | From (577) and (444) follows:
% 65.86/28.18 | (274) addition(all_0_1_1, all_19_0_16) = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | From (579) and (510) follows:
% 65.86/28.18 | (684) addition(one, all_148_0_125) = all_23_0_19
% 65.86/28.18 |
% 65.86/28.18 | From (573) and (493) follows:
% 65.86/28.18 | (685) addition(one, all_183_0_173) = all_19_0_16
% 65.86/28.18 |
% 65.86/28.18 | From (580) and (489) follows:
% 65.86/28.18 | (686) addition(one, all_263_0_241) = all_19_0_16
% 65.86/28.18 |
% 65.86/28.18 | From (558)(558) and (418) follows:
% 65.86/28.18 | (687) addition(one, all_47_2_33) = all_47_2_33
% 65.86/28.18 |
% 65.86/28.18 | From (557) and (415) follows:
% 65.86/28.18 | (688) addition(one, zero) = all_226_0_213
% 65.86/28.18 |
% 65.86/28.18 | From (565) and (410) follows:
% 65.86/28.18 | (689) addition(one, zero) = all_219_0_206
% 65.86/28.18 |
% 65.86/28.18 | From (654) and (252) follows:
% 65.86/28.18 | (77) addition(one, all_0_0_0) = one
% 65.86/28.18 |
% 65.86/28.18 | From (578) and (384) follows:
% 65.86/28.18 | (339) addition(one, all_0_1_1) = all_124_0_102
% 65.86/28.18 |
% 65.86/28.18 | From (570) and (424) follows:
% 65.86/28.18 | (692) addition(zero, all_0_1_1) = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | From (654) and (347) follows:
% 65.86/28.18 | (693) addition(zero, all_0_0_0) = all_138_0_118
% 65.86/28.18 |
% 65.86/28.18 | From (654) and (123) follows:
% 65.86/28.18 | (288) addition(zero, all_0_0_0) = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (24) with all_23_1_20, all_0_0_0, all_107_0_84, all_109_0_85 and discharging atoms addition(all_23_1_20, all_0_0_0) = all_109_0_85, addition(all_23_1_20, all_0_0_0) = all_107_0_84, yields:
% 65.86/28.18 | (695) all_109_0_85 = all_107_0_84
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (24) with all_19_1_17, all_0_0_0, all_202_0_191, all_204_0_192 and discharging atoms addition(all_19_1_17, all_0_0_0) = all_204_0_192, addition(all_19_1_17, all_0_0_0) = all_202_0_191, yields:
% 65.86/28.18 | (696) all_204_0_192 = all_202_0_191
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (23) with all_226_0_213, one and discharging atoms addition(one, zero) = all_226_0_213, yields:
% 65.86/28.18 | (697) all_226_0_213 = one
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (24) with one, zero, all_219_0_206, all_226_0_213 and discharging atoms addition(one, zero) = all_226_0_213, addition(one, zero) = all_219_0_206, yields:
% 65.86/28.18 | (698) all_226_0_213 = all_219_0_206
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (24) with zero, all_0_0_0, all_138_0_118, all_0_0_0 and discharging atoms addition(zero, all_0_0_0) = all_138_0_118, addition(zero, all_0_0_0) = all_0_0_0, yields:
% 65.86/28.18 | (699) all_138_0_118 = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (24) with zero, all_0_1_1, all_0_1_1, all_303_0_290 and discharging atoms addition(zero, all_0_1_1) = all_303_0_290, addition(zero, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.18 | (700) all_303_0_290 = all_0_1_1
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (697,698) yields a new equation:
% 65.86/28.18 | (701) all_219_0_206 = one
% 65.86/28.18 |
% 65.86/28.18 | From (700) and (665) follows:
% 65.86/28.18 | (13) domain(all_0_1_1) = all_0_0_0
% 65.86/28.18 |
% 65.86/28.18 | From (701) and (408) follows:
% 65.86/28.18 | (703) leq(one, all_67_2_58) = 0
% 65.86/28.18 |
% 65.86/28.18 | From (696) and (394) follows:
% 65.86/28.18 | (391) addition(all_202_0_191, one) = all_19_0_16
% 65.86/28.18 |
% 65.86/28.18 | From (699) and (346) follows:
% 65.86/28.18 | (48) addition(all_0_0_0, one) = one
% 65.86/28.18 |
% 65.86/28.18 | From (695) and (325) follows:
% 65.86/28.18 | (322) addition(all_107_0_84, one) = all_23_0_19
% 65.86/28.18 |
% 65.86/28.18 +-Applying beta-rule and splitting (363), into two cases.
% 65.86/28.18 |-Branch one:
% 65.86/28.18 | (707) all_168_0_149 = 0 & star(zero) = all_168_2_151 & leq(all_168_1_150, all_67_2_58) = 0 & multiplication(all_168_2_151, one) = all_168_1_150
% 65.86/28.18 |
% 65.86/28.18 | Applying alpha-rule on (707) yields:
% 65.86/28.18 | (708) all_168_0_149 = 0
% 65.86/28.18 | (709) star(zero) = all_168_2_151
% 65.86/28.18 | (710) leq(all_168_1_150, all_67_2_58) = 0
% 65.86/28.18 | (711) multiplication(all_168_2_151, one) = all_168_1_150
% 65.86/28.18 |
% 65.86/28.18 +-Applying beta-rule and splitting (411), into two cases.
% 65.86/28.18 |-Branch one:
% 65.86/28.18 | (712) all_223_0_209 = 0 & star(zero) = all_223_2_211 & leq(all_223_1_210, all_67_2_58) = 0 & multiplication(one, all_223_2_211) = all_223_1_210
% 65.86/28.18 |
% 65.86/28.18 | Applying alpha-rule on (712) yields:
% 65.86/28.18 | (713) all_223_0_209 = 0
% 65.86/28.18 | (714) star(zero) = all_223_2_211
% 65.86/28.18 | (715) leq(all_223_1_210, all_67_2_58) = 0
% 65.86/28.18 | (716) multiplication(one, all_223_2_211) = all_223_1_210
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (3) with zero, all_223_2_211, all_67_2_58 and discharging atoms star(zero) = all_223_2_211, star(zero) = all_67_2_58, yields:
% 65.86/28.18 | (717) all_223_2_211 = all_67_2_58
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (3) with zero, all_168_2_151, all_223_2_211 and discharging atoms star(zero) = all_223_2_211, star(zero) = all_168_2_151, yields:
% 65.86/28.18 | (718) all_223_2_211 = all_168_2_151
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (8) with all_168_1_150, all_168_2_151 and discharging atoms multiplication(all_168_2_151, one) = all_168_1_150, yields:
% 65.86/28.18 | (719) all_168_1_150 = all_168_2_151
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (717,718) yields a new equation:
% 65.86/28.18 | (720) all_168_2_151 = all_67_2_58
% 65.86/28.18 |
% 65.86/28.18 | Combining equations (720,719) yields a new equation:
% 65.86/28.18 | (721) all_168_1_150 = all_67_2_58
% 65.86/28.18 |
% 65.86/28.18 | From (720)(721) and (711) follows:
% 65.86/28.18 | (722) multiplication(all_67_2_58, one) = all_67_2_58
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (14) with all_67_2_58, one, all_67_2_58 and discharging atoms multiplication(all_67_2_58, one) = all_67_2_58, yields:
% 65.86/28.18 | (723) ? [v0] : ? [v1] : ? [v2] : (domain(v2) = v0 & domain(all_67_2_58) = v0 & domain(one) = v1 & multiplication(all_67_2_58, v1) = v2)
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (14) with all_47_2_33, one, all_47_2_33 and discharging atoms multiplication(all_47_2_33, one) = all_47_2_33, yields:
% 65.86/28.18 | (724) ? [v0] : ? [v1] : ? [v2] : (domain(v2) = v0 & domain(all_47_2_33) = v0 & domain(one) = v1 & multiplication(all_47_2_33, v1) = v2)
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (14) with all_0_1_1, one, all_0_1_1 and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, yields:
% 65.86/28.18 | (725) ? [v0] : ? [v1] : ? [v2] : (domain(v2) = v0 & domain(all_0_1_1) = v0 & domain(one) = v1 & multiplication(all_0_1_1, v1) = v2)
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (36) with all_25_0_21, all_25_0_21, all_0_1_1, all_0_1_1, all_0_0_0, one and discharging atoms multiplication(all_0_0_0, all_0_1_1) = all_25_0_21, multiplication(one, all_0_1_1) = all_0_1_1, addition(all_0_1_1, all_25_0_21) = all_25_0_21, yields:
% 65.86/28.18 | (726) ? [v0] : (multiplication(v0, all_0_1_1) = all_25_0_21 & addition(one, all_0_0_0) = v0)
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (14) with all_0_1_1, all_0_1_1, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.18 | (727) ? [v0] : ? [v1] : ? [v2] : (domain(v2) = v0 & domain(all_0_1_1) = v1 & domain(all_0_1_1) = v0 & multiplication(one, v1) = v2)
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (30) with all_0_1_1, all_0_1_1, all_377_0_367 and discharging atoms addition(all_377_0_367, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.18 | (728) ? [v0] : ? [v1] : ? [v2] : (domain(all_377_0_367) = v1 & domain(all_0_1_1) = v2 & domain(all_0_1_1) = v0 & addition(v1, v2) = v0)
% 65.86/28.18 |
% 65.86/28.18 | Instantiating formula (30) with all_25_0_21, all_0_1_1, all_369_0_358 and discharging atoms addition(all_369_0_358, all_0_1_1) = all_25_0_21, yields:
% 65.86/28.18 | (729) ? [v0] : ? [v1] : ? [v2] : (domain(all_369_0_358) = v1 & domain(all_25_0_21) = v0 & domain(all_0_1_1) = v2 & addition(v1, v2) = v0)
% 65.86/28.19 |
% 65.86/28.19 | Instantiating formula (30) with all_0_1_1, all_0_1_1, all_367_0_357 and discharging atoms addition(all_367_0_357, all_0_1_1) = all_0_1_1, yields:
% 65.86/28.19 | (730) ? [v0] : ? [v1] : ? [v2] : (domain(all_367_0_357) = v1 & domain(all_0_1_1) = v2 & domain(all_0_1_1) = v0 & addition(v1, v2) = v0)
% 65.86/28.19 |
% 65.86/28.19 | Instantiating formula (30) with all_23_0_19, one, all_361_0_354 and discharging atoms addition(all_361_0_354, one) = all_23_0_19, yields:
% 65.86/28.19 | (731) ? [v0] : ? [v1] : ? [v2] : (domain(all_361_0_354) = v1 & domain(all_23_0_19) = v0 & domain(one) = v2 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_19_0_16, one, all_263_0_241 and discharging atoms addition(all_263_0_241, one) = all_19_0_16, yields:
% 66.21/28.19 | (732) ? [v0] : ? [v1] : ? [v2] : (domain(all_263_0_241) = v1 & domain(all_19_0_16) = v0 & domain(one) = v2 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_19_0_16, one, all_202_0_191 and discharging atoms addition(all_202_0_191, one) = all_19_0_16, yields:
% 66.21/28.19 | (733) ? [v0] : ? [v1] : ? [v2] : (domain(all_202_0_191) = v1 & domain(all_19_0_16) = v0 & domain(one) = v2 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_19_0_16, one, all_183_0_173 and discharging atoms addition(all_183_0_173, one) = all_19_0_16, yields:
% 66.21/28.19 | (734) ? [v0] : ? [v1] : ? [v2] : (domain(all_183_0_173) = v1 & domain(all_19_0_16) = v0 & domain(one) = v2 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_23_0_19, one, all_148_0_125 and discharging atoms addition(all_148_0_125, one) = all_23_0_19, yields:
% 66.21/28.19 | (735) ? [v0] : ? [v1] : ? [v2] : (domain(all_148_0_125) = v1 & domain(all_23_0_19) = v0 & domain(one) = v2 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_23_0_19, one, all_107_0_84 and discharging atoms addition(all_107_0_84, one) = all_23_0_19, yields:
% 66.21/28.19 | (736) ? [v0] : ? [v1] : ? [v2] : (domain(all_107_0_84) = v1 & domain(all_23_0_19) = v0 & domain(one) = v2 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_25_0_21, all_0_1_1, all_97_0_71 and discharging atoms addition(all_97_0_71, all_0_1_1) = all_25_0_21, yields:
% 66.21/28.19 | (737) ? [v0] : ? [v1] : ? [v2] : (domain(all_97_0_71) = v1 & domain(all_25_0_21) = v0 & domain(all_0_1_1) = v2 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (39) with one, all_0_0_0, one, all_70_2_62, all_0_0_0 and discharging atoms addition(all_70_2_62, all_0_0_0) = all_0_0_0, addition(one, all_0_0_0) = one, yields:
% 66.21/28.19 | (738) ? [v0] : (addition(v0, all_0_0_0) = one & addition(one, all_70_2_62) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (42) with one, all_70_2_62, one and discharging atoms addition(all_70_2_62, one) = one, yields:
% 66.21/28.19 | (739) addition(one, all_70_2_62) = one
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with one, one, all_70_2_62 and discharging atoms addition(all_70_2_62, one) = one, yields:
% 66.21/28.19 | (740) ? [v0] : ? [v1] : ? [v2] : (domain(all_70_2_62) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (6) with all_56_2_44, all_47_2_33, all_56_0_42 and discharging atoms addition(all_56_0_42, all_47_2_33) = all_56_2_44, yields:
% 66.21/28.19 | (741) all_56_2_44 = all_47_2_33 | ? [v0] : ( ~ (v0 = 0) & leq(all_56_0_42, all_47_2_33) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with one, one, all_56_0_42 and discharging atoms addition(all_56_0_42, one) = one, yields:
% 66.21/28.19 | (742) ? [v0] : ? [v1] : ? [v2] : (domain(all_56_0_42) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with one, one, all_56_2_44 and discharging atoms addition(all_56_2_44, one) = one, yields:
% 66.21/28.19 | (743) ? [v0] : ? [v1] : ? [v2] : (domain(all_56_2_44) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (19) with all_0_0_0, all_56_2_44, all_47_1_32, all_56_2_44, all_0_0_0 and discharging atoms addition(all_56_2_44, all_0_0_0) = all_0_0_0, addition(all_47_1_32, all_56_2_44) = all_56_2_44, yields:
% 66.21/28.19 | (744) ? [v0] : (addition(all_56_2_44, all_0_0_0) = v0 & addition(all_47_1_32, v0) = all_0_0_0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with one, one, all_47_1_32 and discharging atoms addition(all_47_1_32, one) = one, yields:
% 66.21/28.19 | (745) ? [v0] : ? [v1] : ? [v2] : (domain(all_47_1_32) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (39) with one, one, all_47_2_33, all_0_0_0, one and discharging atoms addition(all_47_2_33, one) = one, addition(all_0_0_0, one) = one, yields:
% 66.21/28.19 | (746) ? [v0] : (addition(v0, one) = one & addition(all_47_2_33, all_0_0_0) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (39) with one, one, all_47_2_33, all_70_2_62, one and discharging atoms addition(all_70_2_62, one) = one, addition(all_47_2_33, one) = one, yields:
% 66.21/28.19 | (747) ? [v0] : (addition(v0, one) = one & addition(all_47_2_33, all_70_2_62) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (42) with one, all_47_2_33, one and discharging atoms addition(all_47_2_33, one) = one, yields:
% 66.21/28.19 | (748) addition(one, all_47_2_33) = one
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with one, one, all_47_2_33 and discharging atoms addition(all_47_2_33, one) = one, yields:
% 66.21/28.19 | (749) ? [v0] : ? [v1] : ? [v2] : (domain(all_47_2_33) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with one, one, all_39_2_27 and discharging atoms addition(all_39_2_27, one) = one, yields:
% 66.21/28.19 | (750) ? [v0] : ? [v1] : ? [v2] : (domain(all_39_2_27) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with one, one, all_37_1_23 and discharging atoms addition(all_37_1_23, one) = one, yields:
% 66.21/28.19 | (751) ? [v0] : ? [v1] : ? [v2] : (domain(all_37_1_23) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with one, one, all_37_2_24 and discharging atoms addition(all_37_2_24, one) = one, yields:
% 66.21/28.19 | (752) ? [v0] : ? [v1] : ? [v2] : (domain(all_37_2_24) = v1 & domain(one) = v2 & domain(one) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_0_1_1, all_124_0_102, all_23_1_20 and discharging atoms addition(all_23_1_20, all_124_0_102) = all_0_1_1, yields:
% 66.21/28.19 | (753) ? [v0] : ? [v1] : ? [v2] : (domain(all_124_0_102) = v2 & domain(all_23_1_20) = v1 & domain(all_0_1_1) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_261_0_240, all_0_1_1, all_23_1_20 and discharging atoms addition(all_23_1_20, all_0_1_1) = all_261_0_240, yields:
% 66.21/28.19 | (754) ? [v0] : ? [v1] : ? [v2] : (domain(all_261_0_240) = v0 & domain(all_23_1_20) = v1 & domain(all_0_1_1) = v2 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_0_1_1, all_124_0_102, all_19_1_17 and discharging atoms addition(all_19_1_17, all_124_0_102) = all_0_1_1, yields:
% 66.21/28.19 | (755) ? [v0] : ? [v1] : ? [v2] : (domain(all_124_0_102) = v2 & domain(all_19_1_17) = v1 & domain(all_0_1_1) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_373_0_365, all_0_1_1, all_19_1_17 and discharging atoms addition(all_19_1_17, all_0_1_1) = all_373_0_365, yields:
% 66.21/28.19 | (756) ? [v0] : ? [v1] : ? [v2] : (domain(all_373_0_365) = v0 & domain(all_19_1_17) = v1 & domain(all_0_1_1) = v2 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_0_1_1, all_23_0_19, all_0_1_1 and discharging atoms addition(all_0_1_1, all_23_0_19) = all_0_1_1, yields:
% 66.21/28.19 | (757) ? [v0] : ? [v1] : ? [v2] : (domain(all_23_0_19) = v2 & domain(all_0_1_1) = v1 & domain(all_0_1_1) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_0_1_1, all_19_0_16, all_0_1_1 and discharging atoms addition(all_0_1_1, all_19_0_16) = all_0_1_1, yields:
% 66.21/28.19 | (758) ? [v0] : ? [v1] : ? [v2] : (domain(all_19_0_16) = v2 & domain(all_0_1_1) = v1 & domain(all_0_1_1) = v0 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_0_1_1, all_373_0_365, one and discharging atoms addition(one, all_373_0_365) = all_0_1_1, yields:
% 66.21/28.19 | (759) ? [v0] : ? [v1] : ? [v2] : (domain(all_373_0_365) = v2 & domain(all_0_1_1) = v0 & domain(one) = v1 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_23_0_19, all_361_0_354, one and discharging atoms addition(one, all_361_0_354) = all_23_0_19, yields:
% 66.21/28.19 | (760) ? [v0] : ? [v1] : ? [v2] : (domain(all_361_0_354) = v2 & domain(all_23_0_19) = v0 & domain(one) = v1 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_19_0_16, all_263_0_241, one and discharging atoms addition(one, all_263_0_241) = all_19_0_16, yields:
% 66.21/28.19 | (761) ? [v0] : ? [v1] : ? [v2] : (domain(all_263_0_241) = v2 & domain(all_19_0_16) = v0 & domain(one) = v1 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_0_1_1, all_261_0_240, one and discharging atoms addition(one, all_261_0_240) = all_0_1_1, yields:
% 66.21/28.19 | (762) ? [v0] : ? [v1] : ? [v2] : (domain(all_261_0_240) = v2 & domain(all_0_1_1) = v0 & domain(one) = v1 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_19_0_16, all_183_0_173, one and discharging atoms addition(one, all_183_0_173) = all_19_0_16, yields:
% 66.21/28.19 | (763) ? [v0] : ? [v1] : ? [v2] : (domain(all_183_0_173) = v2 & domain(all_19_0_16) = v0 & domain(one) = v1 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (30) with all_23_0_19, all_148_0_125, one and discharging atoms addition(one, all_148_0_125) = all_23_0_19, yields:
% 66.21/28.19 | (764) ? [v0] : ? [v1] : ? [v2] : (domain(all_148_0_125) = v2 & domain(all_23_0_19) = v0 & domain(one) = v1 & addition(v1, v2) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (19) with all_70_2_62, all_47_2_33, one, all_47_2_33, all_37_2_24 and discharging atoms addition(all_47_2_33, all_37_2_24) = all_70_2_62, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (765) ? [v0] : (addition(all_47_2_33, all_37_2_24) = v0 & addition(one, v0) = all_70_2_62)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (19) with all_47_2_33, one, all_0_0_0, one, all_47_2_33 and discharging atoms addition(all_0_0_0, one) = one, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (766) ? [v0] : (addition(all_0_0_0, v0) = all_47_2_33 & addition(one, all_47_2_33) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (19) with all_47_2_33, one, all_70_2_62, one, all_47_2_33 and discharging atoms addition(all_70_2_62, one) = one, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (767) ? [v0] : (addition(all_70_2_62, v0) = all_47_2_33 & addition(one, all_47_2_33) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (39) with all_56_2_44, all_47_2_33, all_56_0_42, one, all_47_2_33 and discharging atoms addition(all_56_0_42, all_47_2_33) = all_56_2_44, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (768) ? [v0] : (addition(v0, all_47_2_33) = all_56_2_44 & addition(all_56_0_42, one) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (19) with all_47_2_33, one, all_56_0_42, one, all_47_2_33 and discharging atoms addition(all_56_0_42, one) = one, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (769) ? [v0] : (addition(all_56_0_42, v0) = all_47_2_33 & addition(one, all_47_2_33) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (19) with all_47_2_33, one, all_56_2_44, one, all_47_2_33 and discharging atoms addition(all_56_2_44, one) = one, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (770) ? [v0] : (addition(all_56_2_44, v0) = all_47_2_33 & addition(one, all_47_2_33) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (19) with all_47_2_33, one, all_47_2_33, one, all_47_2_33 and discharging atoms addition(all_47_2_33, one) = one, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (771) ? [v0] : (addition(all_47_2_33, v0) = all_47_2_33 & addition(one, all_47_2_33) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (19) with all_47_2_33, one, all_39_2_27, one, all_47_2_33 and discharging atoms addition(all_39_2_27, one) = one, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (772) ? [v0] : (addition(all_39_2_27, v0) = all_47_2_33 & addition(one, all_47_2_33) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (19) with all_47_2_33, one, all_37_1_23, one, all_47_2_33 and discharging atoms addition(all_37_1_23, one) = one, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (773) ? [v0] : (addition(all_37_1_23, v0) = all_47_2_33 & addition(one, all_47_2_33) = v0)
% 66.21/28.19 |
% 66.21/28.19 | Instantiating formula (39) with all_70_2_62, all_47_2_33, all_37_2_24, one, all_47_2_33 and discharging atoms addition(all_37_2_24, all_47_2_33) = all_70_2_62, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.19 | (774) ? [v0] : (addition(v0, all_47_2_33) = all_70_2_62 & addition(all_37_2_24, one) = v0)
% 66.21/28.20 |
% 66.21/28.20 | Instantiating formula (19) with all_47_2_33, one, all_37_2_24, one, all_47_2_33 and discharging atoms addition(all_37_2_24, one) = one, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.20 | (775) ? [v0] : (addition(all_37_2_24, v0) = all_47_2_33 & addition(one, all_47_2_33) = v0)
% 66.21/28.20 |
% 66.21/28.20 | Instantiating formula (30) with all_47_2_33, all_47_2_33, one and discharging atoms addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.20 | (776) ? [v0] : ? [v1] : ? [v2] : (domain(all_47_2_33) = v2 & domain(all_47_2_33) = v0 & domain(one) = v1 & addition(v1, v2) = v0)
% 66.21/28.20 |
% 66.21/28.20 | Instantiating formula (30) with all_124_0_102, all_0_1_1, one and discharging atoms addition(one, all_0_1_1) = all_124_0_102, yields:
% 66.21/28.20 | (777) ? [v0] : ? [v1] : ? [v2] : (domain(all_124_0_102) = v0 & domain(all_0_1_1) = v2 & domain(one) = v1 & addition(v1, v2) = v0)
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (751) with all_487_0_423, all_487_1_424, all_487_2_425 yields:
% 66.21/28.20 | (778) domain(all_37_1_23) = all_487_1_424 & domain(one) = all_487_0_423 & domain(one) = all_487_2_425 & addition(all_487_1_424, all_487_0_423) = all_487_2_425
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (778) yields:
% 66.21/28.20 | (779) domain(all_37_1_23) = all_487_1_424
% 66.21/28.20 | (780) domain(one) = all_487_0_423
% 66.21/28.20 | (781) domain(one) = all_487_2_425
% 66.21/28.20 | (782) addition(all_487_1_424, all_487_0_423) = all_487_2_425
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (733) with all_536_0_468, all_536_1_469, all_536_2_470 yields:
% 66.21/28.20 | (783) domain(all_202_0_191) = all_536_1_469 & domain(all_19_0_16) = all_536_2_470 & domain(one) = all_536_0_468 & addition(all_536_1_469, all_536_0_468) = all_536_2_470
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (783) yields:
% 66.21/28.20 | (784) domain(all_202_0_191) = all_536_1_469
% 66.21/28.20 | (785) domain(all_19_0_16) = all_536_2_470
% 66.21/28.20 | (786) domain(one) = all_536_0_468
% 66.21/28.20 | (787) addition(all_536_1_469, all_536_0_468) = all_536_2_470
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (732) with all_550_0_478, all_550_1_479, all_550_2_480 yields:
% 66.21/28.20 | (788) domain(all_263_0_241) = all_550_1_479 & domain(all_19_0_16) = all_550_2_480 & domain(one) = all_550_0_478 & addition(all_550_1_479, all_550_0_478) = all_550_2_480
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (788) yields:
% 66.21/28.20 | (789) domain(all_263_0_241) = all_550_1_479
% 66.21/28.20 | (790) domain(all_19_0_16) = all_550_2_480
% 66.21/28.20 | (791) domain(one) = all_550_0_478
% 66.21/28.20 | (792) addition(all_550_1_479, all_550_0_478) = all_550_2_480
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (759) with all_649_0_586, all_649_1_587, all_649_2_588 yields:
% 66.21/28.20 | (793) domain(all_373_0_365) = all_649_0_586 & domain(all_0_1_1) = all_649_2_588 & domain(one) = all_649_1_587 & addition(all_649_1_587, all_649_0_586) = all_649_2_588
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (793) yields:
% 66.21/28.20 | (794) domain(all_373_0_365) = all_649_0_586
% 66.21/28.20 | (795) domain(all_0_1_1) = all_649_2_588
% 66.21/28.20 | (796) domain(one) = all_649_1_587
% 66.21/28.20 | (797) addition(all_649_1_587, all_649_0_586) = all_649_2_588
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (764) with all_1099_0_1087, all_1099_1_1088, all_1099_2_1089 yields:
% 66.21/28.20 | (798) domain(all_148_0_125) = all_1099_0_1087 & domain(all_23_0_19) = all_1099_2_1089 & domain(one) = all_1099_1_1088 & addition(all_1099_1_1088, all_1099_0_1087) = all_1099_2_1089
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (798) yields:
% 66.21/28.20 | (799) domain(all_148_0_125) = all_1099_0_1087
% 66.21/28.20 | (800) domain(all_23_0_19) = all_1099_2_1089
% 66.21/28.20 | (801) domain(one) = all_1099_1_1088
% 66.21/28.20 | (802) addition(all_1099_1_1088, all_1099_0_1087) = all_1099_2_1089
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (726) with all_1130_0_1119 yields:
% 66.21/28.20 | (803) multiplication(all_1130_0_1119, all_0_1_1) = all_25_0_21 & addition(one, all_0_0_0) = all_1130_0_1119
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (803) yields:
% 66.21/28.20 | (804) multiplication(all_1130_0_1119, all_0_1_1) = all_25_0_21
% 66.21/28.20 | (805) addition(one, all_0_0_0) = all_1130_0_1119
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (727) with all_1156_0_1134, all_1156_1_1135, all_1156_2_1136 yields:
% 66.21/28.20 | (806) domain(all_1156_0_1134) = all_1156_2_1136 & domain(all_0_1_1) = all_1156_1_1135 & domain(all_0_1_1) = all_1156_2_1136 & multiplication(one, all_1156_1_1135) = all_1156_0_1134
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (806) yields:
% 66.21/28.20 | (807) domain(all_1156_0_1134) = all_1156_2_1136
% 66.21/28.20 | (808) domain(all_0_1_1) = all_1156_1_1135
% 66.21/28.20 | (809) domain(all_0_1_1) = all_1156_2_1136
% 66.21/28.20 | (810) multiplication(one, all_1156_1_1135) = all_1156_0_1134
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (725) with all_1164_0_1142, all_1164_1_1143, all_1164_2_1144 yields:
% 66.21/28.20 | (811) domain(all_1164_0_1142) = all_1164_2_1144 & domain(all_0_1_1) = all_1164_2_1144 & domain(one) = all_1164_1_1143 & multiplication(all_0_1_1, all_1164_1_1143) = all_1164_0_1142
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (811) yields:
% 66.21/28.20 | (812) domain(all_1164_0_1142) = all_1164_2_1144
% 66.21/28.20 | (813) domain(all_0_1_1) = all_1164_2_1144
% 66.21/28.20 | (814) domain(one) = all_1164_1_1143
% 66.21/28.20 | (815) multiplication(all_0_1_1, all_1164_1_1143) = all_1164_0_1142
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (755) with all_1510_0_1550, all_1510_1_1551, all_1510_2_1552 yields:
% 66.21/28.20 | (816) domain(all_124_0_102) = all_1510_0_1550 & domain(all_19_1_17) = all_1510_1_1551 & domain(all_0_1_1) = all_1510_2_1552 & addition(all_1510_1_1551, all_1510_0_1550) = all_1510_2_1552
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (816) yields:
% 66.21/28.20 | (817) domain(all_124_0_102) = all_1510_0_1550
% 66.21/28.20 | (818) domain(all_19_1_17) = all_1510_1_1551
% 66.21/28.20 | (819) domain(all_0_1_1) = all_1510_2_1552
% 66.21/28.20 | (820) addition(all_1510_1_1551, all_1510_0_1550) = all_1510_2_1552
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (745) with all_1666_0_1665, all_1666_1_1666, all_1666_2_1667 yields:
% 66.21/28.20 | (821) domain(all_47_1_32) = all_1666_1_1666 & domain(one) = all_1666_0_1665 & domain(one) = all_1666_2_1667 & addition(all_1666_1_1666, all_1666_0_1665) = all_1666_2_1667
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (821) yields:
% 66.21/28.20 | (822) domain(all_47_1_32) = all_1666_1_1666
% 66.21/28.20 | (823) domain(one) = all_1666_0_1665
% 66.21/28.20 | (824) domain(one) = all_1666_2_1667
% 66.21/28.20 | (825) addition(all_1666_1_1666, all_1666_0_1665) = all_1666_2_1667
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (740) with all_1687_0_1683, all_1687_1_1684, all_1687_2_1685 yields:
% 66.21/28.20 | (826) domain(all_70_2_62) = all_1687_1_1684 & domain(one) = all_1687_0_1683 & domain(one) = all_1687_2_1685 & addition(all_1687_1_1684, all_1687_0_1683) = all_1687_2_1685
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (826) yields:
% 66.21/28.20 | (827) domain(all_70_2_62) = all_1687_1_1684
% 66.21/28.20 | (828) domain(one) = all_1687_0_1683
% 66.21/28.20 | (829) domain(one) = all_1687_2_1685
% 66.21/28.20 | (830) addition(all_1687_1_1684, all_1687_0_1683) = all_1687_2_1685
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (753) with all_1789_0_1783, all_1789_1_1784, all_1789_2_1785 yields:
% 66.21/28.20 | (831) domain(all_124_0_102) = all_1789_0_1783 & domain(all_23_1_20) = all_1789_1_1784 & domain(all_0_1_1) = all_1789_2_1785 & addition(all_1789_1_1784, all_1789_0_1783) = all_1789_2_1785
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (831) yields:
% 66.21/28.20 | (832) domain(all_124_0_102) = all_1789_0_1783
% 66.21/28.20 | (833) domain(all_23_1_20) = all_1789_1_1784
% 66.21/28.20 | (834) domain(all_0_1_1) = all_1789_2_1785
% 66.21/28.20 | (835) addition(all_1789_1_1784, all_1789_0_1783) = all_1789_2_1785
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (750) with all_2082_0_2192, all_2082_1_2193, all_2082_2_2194 yields:
% 66.21/28.20 | (836) domain(all_39_2_27) = all_2082_1_2193 & domain(one) = all_2082_0_2192 & domain(one) = all_2082_2_2194 & addition(all_2082_1_2193, all_2082_0_2192) = all_2082_2_2194
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (836) yields:
% 66.21/28.20 | (837) domain(all_39_2_27) = all_2082_1_2193
% 66.21/28.20 | (838) domain(one) = all_2082_0_2192
% 66.21/28.20 | (839) domain(one) = all_2082_2_2194
% 66.21/28.20 | (840) addition(all_2082_1_2193, all_2082_0_2192) = all_2082_2_2194
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (731) with all_2119_0_2230, all_2119_1_2231, all_2119_2_2232 yields:
% 66.21/28.20 | (841) domain(all_361_0_354) = all_2119_1_2231 & domain(all_23_0_19) = all_2119_2_2232 & domain(one) = all_2119_0_2230 & addition(all_2119_1_2231, all_2119_0_2230) = all_2119_2_2232
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (841) yields:
% 66.21/28.20 | (842) domain(all_361_0_354) = all_2119_1_2231
% 66.21/28.20 | (843) domain(all_23_0_19) = all_2119_2_2232
% 66.21/28.20 | (844) domain(one) = all_2119_0_2230
% 66.21/28.20 | (845) addition(all_2119_1_2231, all_2119_0_2230) = all_2119_2_2232
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (758) with all_2203_0_2311, all_2203_1_2312, all_2203_2_2313 yields:
% 66.21/28.20 | (846) domain(all_19_0_16) = all_2203_0_2311 & domain(all_0_1_1) = all_2203_1_2312 & domain(all_0_1_1) = all_2203_2_2313 & addition(all_2203_1_2312, all_2203_0_2311) = all_2203_2_2313
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (846) yields:
% 66.21/28.20 | (847) domain(all_19_0_16) = all_2203_0_2311
% 66.21/28.20 | (848) domain(all_0_1_1) = all_2203_1_2312
% 66.21/28.20 | (849) domain(all_0_1_1) = all_2203_2_2313
% 66.21/28.20 | (850) addition(all_2203_1_2312, all_2203_0_2311) = all_2203_2_2313
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (757) with all_2402_0_2550, all_2402_1_2551, all_2402_2_2552 yields:
% 66.21/28.20 | (851) domain(all_23_0_19) = all_2402_0_2550 & domain(all_0_1_1) = all_2402_1_2551 & domain(all_0_1_1) = all_2402_2_2552 & addition(all_2402_1_2551, all_2402_0_2550) = all_2402_2_2552
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (851) yields:
% 66.21/28.20 | (852) domain(all_23_0_19) = all_2402_0_2550
% 66.21/28.20 | (853) domain(all_0_1_1) = all_2402_1_2551
% 66.21/28.20 | (854) domain(all_0_1_1) = all_2402_2_2552
% 66.21/28.20 | (855) addition(all_2402_1_2551, all_2402_0_2550) = all_2402_2_2552
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (756) with all_2454_0_2612, all_2454_1_2613, all_2454_2_2614 yields:
% 66.21/28.20 | (856) domain(all_373_0_365) = all_2454_2_2614 & domain(all_19_1_17) = all_2454_1_2613 & domain(all_0_1_1) = all_2454_0_2612 & addition(all_2454_1_2613, all_2454_0_2612) = all_2454_2_2614
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (856) yields:
% 66.21/28.20 | (857) domain(all_373_0_365) = all_2454_2_2614
% 66.21/28.20 | (858) domain(all_19_1_17) = all_2454_1_2613
% 66.21/28.20 | (859) domain(all_0_1_1) = all_2454_0_2612
% 66.21/28.20 | (860) addition(all_2454_1_2613, all_2454_0_2612) = all_2454_2_2614
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (738) with all_2496_0_2651 yields:
% 66.21/28.20 | (861) addition(all_2496_0_2651, all_0_0_0) = one & addition(one, all_70_2_62) = all_2496_0_2651
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (861) yields:
% 66.21/28.20 | (862) addition(all_2496_0_2651, all_0_0_0) = one
% 66.21/28.20 | (863) addition(one, all_70_2_62) = all_2496_0_2651
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (737) with all_2600_0_2742, all_2600_1_2743, all_2600_2_2744 yields:
% 66.21/28.20 | (864) domain(all_97_0_71) = all_2600_1_2743 & domain(all_25_0_21) = all_2600_2_2744 & domain(all_0_1_1) = all_2600_0_2742 & addition(all_2600_1_2743, all_2600_0_2742) = all_2600_2_2744
% 66.21/28.20 |
% 66.21/28.20 | Applying alpha-rule on (864) yields:
% 66.21/28.20 | (865) domain(all_97_0_71) = all_2600_1_2743
% 66.21/28.20 | (866) domain(all_25_0_21) = all_2600_2_2744
% 66.21/28.20 | (867) domain(all_0_1_1) = all_2600_0_2742
% 66.21/28.20 | (868) addition(all_2600_1_2743, all_2600_0_2742) = all_2600_2_2744
% 66.21/28.20 |
% 66.21/28.20 | Instantiating (763) with all_2648_0_2788, all_2648_1_2789, all_2648_2_2790 yields:
% 66.21/28.20 | (869) domain(all_183_0_173) = all_2648_0_2788 & domain(all_19_0_16) = all_2648_2_2790 & domain(one) = all_2648_1_2789 & addition(all_2648_1_2789, all_2648_0_2788) = all_2648_2_2790
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (869) yields:
% 66.21/28.21 | (870) domain(all_183_0_173) = all_2648_0_2788
% 66.21/28.21 | (871) domain(all_19_0_16) = all_2648_2_2790
% 66.21/28.21 | (872) domain(one) = all_2648_1_2789
% 66.21/28.21 | (873) addition(all_2648_1_2789, all_2648_0_2788) = all_2648_2_2790
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (744) with all_2793_0_2895 yields:
% 66.21/28.21 | (874) addition(all_56_2_44, all_0_0_0) = all_2793_0_2895 & addition(all_47_1_32, all_2793_0_2895) = all_0_0_0
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (874) yields:
% 66.21/28.21 | (875) addition(all_56_2_44, all_0_0_0) = all_2793_0_2895
% 66.21/28.21 | (876) addition(all_47_1_32, all_2793_0_2895) = all_0_0_0
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (746) with all_2795_0_2896 yields:
% 66.21/28.21 | (877) addition(all_2795_0_2896, one) = one & addition(all_47_2_33, all_0_0_0) = all_2795_0_2896
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (877) yields:
% 66.21/28.21 | (878) addition(all_2795_0_2896, one) = one
% 66.21/28.21 | (879) addition(all_47_2_33, all_0_0_0) = all_2795_0_2896
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (749) with all_2797_0_2897, all_2797_1_2898, all_2797_2_2899 yields:
% 66.21/28.21 | (880) domain(all_47_2_33) = all_2797_1_2898 & domain(one) = all_2797_0_2897 & domain(one) = all_2797_2_2899 & addition(all_2797_1_2898, all_2797_0_2897) = all_2797_2_2899
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (880) yields:
% 66.21/28.21 | (881) domain(all_47_2_33) = all_2797_1_2898
% 66.21/28.21 | (882) domain(one) = all_2797_0_2897
% 66.21/28.21 | (883) domain(one) = all_2797_2_2899
% 66.21/28.21 | (884) addition(all_2797_1_2898, all_2797_0_2897) = all_2797_2_2899
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (762) with all_2823_0_2919, all_2823_1_2920, all_2823_2_2921 yields:
% 66.21/28.21 | (885) domain(all_261_0_240) = all_2823_0_2919 & domain(all_0_1_1) = all_2823_2_2921 & domain(one) = all_2823_1_2920 & addition(all_2823_1_2920, all_2823_0_2919) = all_2823_2_2921
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (885) yields:
% 66.21/28.21 | (886) domain(all_261_0_240) = all_2823_0_2919
% 66.21/28.21 | (887) domain(all_0_1_1) = all_2823_2_2921
% 66.21/28.21 | (888) domain(one) = all_2823_1_2920
% 66.21/28.21 | (889) addition(all_2823_1_2920, all_2823_0_2919) = all_2823_2_2921
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (742) with all_2870_0_2956, all_2870_1_2957, all_2870_2_2958 yields:
% 66.21/28.21 | (890) domain(all_56_0_42) = all_2870_1_2957 & domain(one) = all_2870_0_2956 & domain(one) = all_2870_2_2958 & addition(all_2870_1_2957, all_2870_0_2956) = all_2870_2_2958
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (890) yields:
% 66.21/28.21 | (891) domain(all_56_0_42) = all_2870_1_2957
% 66.21/28.21 | (892) domain(one) = all_2870_0_2956
% 66.21/28.21 | (893) domain(one) = all_2870_2_2958
% 66.21/28.21 | (894) addition(all_2870_1_2957, all_2870_0_2956) = all_2870_2_2958
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (752) with all_3095_0_3152, all_3095_1_3153, all_3095_2_3154 yields:
% 66.21/28.21 | (895) domain(all_37_2_24) = all_3095_1_3153 & domain(one) = all_3095_0_3152 & domain(one) = all_3095_2_3154 & addition(all_3095_1_3153, all_3095_0_3152) = all_3095_2_3154
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (895) yields:
% 66.21/28.21 | (896) domain(all_37_2_24) = all_3095_1_3153
% 66.21/28.21 | (897) domain(one) = all_3095_0_3152
% 66.21/28.21 | (898) domain(one) = all_3095_2_3154
% 66.21/28.21 | (899) addition(all_3095_1_3153, all_3095_0_3152) = all_3095_2_3154
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (728) with all_3160_0_3206, all_3160_1_3207, all_3160_2_3208 yields:
% 66.21/28.21 | (900) domain(all_377_0_367) = all_3160_1_3207 & domain(all_0_1_1) = all_3160_0_3206 & domain(all_0_1_1) = all_3160_2_3208 & addition(all_3160_1_3207, all_3160_0_3206) = all_3160_2_3208
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (900) yields:
% 66.21/28.21 | (901) domain(all_377_0_367) = all_3160_1_3207
% 66.21/28.21 | (902) domain(all_0_1_1) = all_3160_0_3206
% 66.21/28.21 | (903) domain(all_0_1_1) = all_3160_2_3208
% 66.21/28.21 | (904) addition(all_3160_1_3207, all_3160_0_3206) = all_3160_2_3208
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (736) with all_3170_0_3214, all_3170_1_3215, all_3170_2_3216 yields:
% 66.21/28.21 | (905) domain(all_107_0_84) = all_3170_1_3215 & domain(all_23_0_19) = all_3170_2_3216 & domain(one) = all_3170_0_3214 & addition(all_3170_1_3215, all_3170_0_3214) = all_3170_2_3216
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (905) yields:
% 66.21/28.21 | (906) domain(all_107_0_84) = all_3170_1_3215
% 66.21/28.21 | (907) domain(all_23_0_19) = all_3170_2_3216
% 66.21/28.21 | (908) domain(one) = all_3170_0_3214
% 66.21/28.21 | (909) addition(all_3170_1_3215, all_3170_0_3214) = all_3170_2_3216
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (776) with all_3182_0_3222, all_3182_1_3223, all_3182_2_3224 yields:
% 66.21/28.21 | (910) domain(all_47_2_33) = all_3182_0_3222 & domain(all_47_2_33) = all_3182_2_3224 & domain(one) = all_3182_1_3223 & addition(all_3182_1_3223, all_3182_0_3222) = all_3182_2_3224
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (910) yields:
% 66.21/28.21 | (911) domain(all_47_2_33) = all_3182_0_3222
% 66.21/28.21 | (912) domain(all_47_2_33) = all_3182_2_3224
% 66.21/28.21 | (913) domain(one) = all_3182_1_3223
% 66.21/28.21 | (914) addition(all_3182_1_3223, all_3182_0_3222) = all_3182_2_3224
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (775) with all_3190_0_3228 yields:
% 66.21/28.21 | (915) addition(all_37_2_24, all_3190_0_3228) = all_47_2_33 & addition(one, all_47_2_33) = all_3190_0_3228
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (915) yields:
% 66.21/28.21 | (916) addition(all_37_2_24, all_3190_0_3228) = all_47_2_33
% 66.21/28.21 | (917) addition(one, all_47_2_33) = all_3190_0_3228
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (772) with all_3216_0_3252 yields:
% 66.21/28.21 | (918) addition(all_39_2_27, all_3216_0_3252) = all_47_2_33 & addition(one, all_47_2_33) = all_3216_0_3252
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (918) yields:
% 66.21/28.21 | (919) addition(all_39_2_27, all_3216_0_3252) = all_47_2_33
% 66.21/28.21 | (920) addition(one, all_47_2_33) = all_3216_0_3252
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (771) with all_3218_0_3253 yields:
% 66.21/28.21 | (921) addition(all_47_2_33, all_3218_0_3253) = all_47_2_33 & addition(one, all_47_2_33) = all_3218_0_3253
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (921) yields:
% 66.21/28.21 | (922) addition(all_47_2_33, all_3218_0_3253) = all_47_2_33
% 66.21/28.21 | (923) addition(one, all_47_2_33) = all_3218_0_3253
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (770) with all_3220_0_3254 yields:
% 66.21/28.21 | (924) addition(all_56_2_44, all_3220_0_3254) = all_47_2_33 & addition(one, all_47_2_33) = all_3220_0_3254
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (924) yields:
% 66.21/28.21 | (925) addition(all_56_2_44, all_3220_0_3254) = all_47_2_33
% 66.21/28.21 | (926) addition(one, all_47_2_33) = all_3220_0_3254
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (774) with all_3238_0_3263 yields:
% 66.21/28.21 | (927) addition(all_3238_0_3263, all_47_2_33) = all_70_2_62 & addition(all_37_2_24, one) = all_3238_0_3263
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (927) yields:
% 66.21/28.21 | (928) addition(all_3238_0_3263, all_47_2_33) = all_70_2_62
% 66.21/28.21 | (929) addition(all_37_2_24, one) = all_3238_0_3263
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (773) with all_3240_0_3264 yields:
% 66.21/28.21 | (930) addition(all_37_1_23, all_3240_0_3264) = all_47_2_33 & addition(one, all_47_2_33) = all_3240_0_3264
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (930) yields:
% 66.21/28.21 | (931) addition(all_37_1_23, all_3240_0_3264) = all_47_2_33
% 66.21/28.21 | (932) addition(one, all_47_2_33) = all_3240_0_3264
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (761) with all_3282_0_3289, all_3282_1_3290, all_3282_2_3291 yields:
% 66.21/28.21 | (933) domain(all_263_0_241) = all_3282_0_3289 & domain(all_19_0_16) = all_3282_2_3291 & domain(one) = all_3282_1_3290 & addition(all_3282_1_3290, all_3282_0_3289) = all_3282_2_3291
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (933) yields:
% 66.21/28.21 | (934) domain(all_263_0_241) = all_3282_0_3289
% 66.21/28.21 | (935) domain(all_19_0_16) = all_3282_2_3291
% 66.21/28.21 | (936) domain(one) = all_3282_1_3290
% 66.21/28.21 | (937) addition(all_3282_1_3290, all_3282_0_3289) = all_3282_2_3291
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (760) with all_3288_0_3296, all_3288_1_3297, all_3288_2_3298 yields:
% 66.21/28.21 | (938) domain(all_361_0_354) = all_3288_0_3296 & domain(all_23_0_19) = all_3288_2_3298 & domain(one) = all_3288_1_3297 & addition(all_3288_1_3297, all_3288_0_3296) = all_3288_2_3298
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (938) yields:
% 66.21/28.21 | (939) domain(all_361_0_354) = all_3288_0_3296
% 66.21/28.21 | (940) domain(all_23_0_19) = all_3288_2_3298
% 66.21/28.21 | (941) domain(one) = all_3288_1_3297
% 66.21/28.21 | (942) addition(all_3288_1_3297, all_3288_0_3296) = all_3288_2_3298
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (777) with all_3334_0_3332, all_3334_1_3333, all_3334_2_3334 yields:
% 66.21/28.21 | (943) domain(all_124_0_102) = all_3334_2_3334 & domain(all_0_1_1) = all_3334_0_3332 & domain(one) = all_3334_1_3333 & addition(all_3334_1_3333, all_3334_0_3332) = all_3334_2_3334
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (943) yields:
% 66.21/28.21 | (944) domain(all_124_0_102) = all_3334_2_3334
% 66.21/28.21 | (945) domain(all_0_1_1) = all_3334_0_3332
% 66.21/28.21 | (946) domain(one) = all_3334_1_3333
% 66.21/28.21 | (947) addition(all_3334_1_3333, all_3334_0_3332) = all_3334_2_3334
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (735) with all_3460_0_3456, all_3460_1_3457, all_3460_2_3458 yields:
% 66.21/28.21 | (948) domain(all_148_0_125) = all_3460_1_3457 & domain(all_23_0_19) = all_3460_2_3458 & domain(one) = all_3460_0_3456 & addition(all_3460_1_3457, all_3460_0_3456) = all_3460_2_3458
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (948) yields:
% 66.21/28.21 | (949) domain(all_148_0_125) = all_3460_1_3457
% 66.21/28.21 | (950) domain(all_23_0_19) = all_3460_2_3458
% 66.21/28.21 | (951) domain(one) = all_3460_0_3456
% 66.21/28.21 | (952) addition(all_3460_1_3457, all_3460_0_3456) = all_3460_2_3458
% 66.21/28.21 |
% 66.21/28.21 | Instantiating (754) with all_3474_0_3470, all_3474_1_3471, all_3474_2_3472 yields:
% 66.21/28.21 | (953) domain(all_261_0_240) = all_3474_2_3472 & domain(all_23_1_20) = all_3474_1_3471 & domain(all_0_1_1) = all_3474_0_3470 & addition(all_3474_1_3471, all_3474_0_3470) = all_3474_2_3472
% 66.21/28.21 |
% 66.21/28.21 | Applying alpha-rule on (953) yields:
% 66.21/28.21 | (954) domain(all_261_0_240) = all_3474_2_3472
% 66.21/28.21 | (955) domain(all_23_1_20) = all_3474_1_3471
% 66.21/28.21 | (956) domain(all_0_1_1) = all_3474_0_3470
% 66.21/28.21 | (957) addition(all_3474_1_3471, all_3474_0_3470) = all_3474_2_3472
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (729) with all_3528_0_3518, all_3528_1_3519, all_3528_2_3520 yields:
% 66.21/28.22 | (958) domain(all_369_0_358) = all_3528_1_3519 & domain(all_25_0_21) = all_3528_2_3520 & domain(all_0_1_1) = all_3528_0_3518 & addition(all_3528_1_3519, all_3528_0_3518) = all_3528_2_3520
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (958) yields:
% 66.21/28.22 | (959) domain(all_369_0_358) = all_3528_1_3519
% 66.21/28.22 | (960) domain(all_25_0_21) = all_3528_2_3520
% 66.21/28.22 | (961) domain(all_0_1_1) = all_3528_0_3518
% 66.21/28.22 | (962) addition(all_3528_1_3519, all_3528_0_3518) = all_3528_2_3520
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (769) with all_3569_0_3553 yields:
% 66.21/28.22 | (963) addition(all_56_0_42, all_3569_0_3553) = all_47_2_33 & addition(one, all_47_2_33) = all_3569_0_3553
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (963) yields:
% 66.21/28.22 | (964) addition(all_56_0_42, all_3569_0_3553) = all_47_2_33
% 66.21/28.22 | (965) addition(one, all_47_2_33) = all_3569_0_3553
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (768) with all_3571_0_3554 yields:
% 66.21/28.22 | (966) addition(all_3571_0_3554, all_47_2_33) = all_56_2_44 & addition(all_56_0_42, one) = all_3571_0_3554
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (966) yields:
% 66.21/28.22 | (967) addition(all_3571_0_3554, all_47_2_33) = all_56_2_44
% 66.21/28.22 | (968) addition(all_56_0_42, one) = all_3571_0_3554
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (767) with all_3573_0_3555 yields:
% 66.21/28.22 | (969) addition(all_70_2_62, all_3573_0_3555) = all_47_2_33 & addition(one, all_47_2_33) = all_3573_0_3555
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (969) yields:
% 66.21/28.22 | (970) addition(all_70_2_62, all_3573_0_3555) = all_47_2_33
% 66.21/28.22 | (971) addition(one, all_47_2_33) = all_3573_0_3555
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (730) with all_3641_0_3598, all_3641_1_3599, all_3641_2_3600 yields:
% 66.21/28.22 | (972) domain(all_367_0_357) = all_3641_1_3599 & domain(all_0_1_1) = all_3641_0_3598 & domain(all_0_1_1) = all_3641_2_3600 & addition(all_3641_1_3599, all_3641_0_3598) = all_3641_2_3600
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (972) yields:
% 66.21/28.22 | (973) domain(all_367_0_357) = all_3641_1_3599
% 66.21/28.22 | (974) domain(all_0_1_1) = all_3641_0_3598
% 66.21/28.22 | (975) domain(all_0_1_1) = all_3641_2_3600
% 66.21/28.22 | (976) addition(all_3641_1_3599, all_3641_0_3598) = all_3641_2_3600
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (766) with all_3695_0_3640 yields:
% 66.21/28.22 | (977) addition(all_0_0_0, all_3695_0_3640) = all_47_2_33 & addition(one, all_47_2_33) = all_3695_0_3640
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (977) yields:
% 66.21/28.22 | (978) addition(all_0_0_0, all_3695_0_3640) = all_47_2_33
% 66.21/28.22 | (979) addition(one, all_47_2_33) = all_3695_0_3640
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (765) with all_3697_0_3641 yields:
% 66.21/28.22 | (980) addition(all_47_2_33, all_37_2_24) = all_3697_0_3641 & addition(one, all_3697_0_3641) = all_70_2_62
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (980) yields:
% 66.21/28.22 | (981) addition(all_47_2_33, all_37_2_24) = all_3697_0_3641
% 66.21/28.22 | (982) addition(one, all_3697_0_3641) = all_70_2_62
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (723) with all_3804_0_3728, all_3804_1_3729, all_3804_2_3730 yields:
% 66.21/28.22 | (983) domain(all_3804_0_3728) = all_3804_2_3730 & domain(all_67_2_58) = all_3804_2_3730 & domain(one) = all_3804_1_3729 & multiplication(all_67_2_58, all_3804_1_3729) = all_3804_0_3728
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (983) yields:
% 66.21/28.22 | (984) domain(all_3804_0_3728) = all_3804_2_3730
% 66.21/28.22 | (985) domain(all_67_2_58) = all_3804_2_3730
% 66.21/28.22 | (986) domain(one) = all_3804_1_3729
% 66.21/28.22 | (987) multiplication(all_67_2_58, all_3804_1_3729) = all_3804_0_3728
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (724) with all_3861_0_3796, all_3861_1_3797, all_3861_2_3798 yields:
% 66.21/28.22 | (988) domain(all_3861_0_3796) = all_3861_2_3798 & domain(all_47_2_33) = all_3861_2_3798 & domain(one) = all_3861_1_3797 & multiplication(all_47_2_33, all_3861_1_3797) = all_3861_0_3796
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (988) yields:
% 66.21/28.22 | (989) domain(all_3861_0_3796) = all_3861_2_3798
% 66.21/28.22 | (990) domain(all_47_2_33) = all_3861_2_3798
% 66.21/28.22 | (991) domain(one) = all_3861_1_3797
% 66.21/28.22 | (992) multiplication(all_47_2_33, all_3861_1_3797) = all_3861_0_3796
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (743) with all_3928_0_3874, all_3928_1_3875, all_3928_2_3876 yields:
% 66.21/28.22 | (993) domain(all_56_2_44) = all_3928_1_3875 & domain(one) = all_3928_0_3874 & domain(one) = all_3928_2_3876 & addition(all_3928_1_3875, all_3928_0_3874) = all_3928_2_3876
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (993) yields:
% 66.21/28.22 | (994) domain(all_56_2_44) = all_3928_1_3875
% 66.21/28.22 | (995) domain(one) = all_3928_0_3874
% 66.21/28.22 | (996) domain(one) = all_3928_2_3876
% 66.21/28.22 | (997) addition(all_3928_1_3875, all_3928_0_3874) = all_3928_2_3876
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (747) with all_3960_0_3906 yields:
% 66.21/28.22 | (998) addition(all_3960_0_3906, one) = one & addition(all_47_2_33, all_70_2_62) = all_3960_0_3906
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (998) yields:
% 66.21/28.22 | (999) addition(all_3960_0_3906, one) = one
% 66.21/28.22 | (1000) addition(all_47_2_33, all_70_2_62) = all_3960_0_3906
% 66.21/28.22 |
% 66.21/28.22 | Instantiating (734) with all_4041_0_3981, all_4041_1_3982, all_4041_2_3983 yields:
% 66.21/28.22 | (1001) domain(all_183_0_173) = all_4041_1_3982 & domain(all_19_0_16) = all_4041_2_3983 & domain(one) = all_4041_0_3981 & addition(all_4041_1_3982, all_4041_0_3981) = all_4041_2_3983
% 66.21/28.22 |
% 66.21/28.22 | Applying alpha-rule on (1001) yields:
% 66.21/28.22 | (1002) domain(all_183_0_173) = all_4041_1_3982
% 66.21/28.22 | (1003) domain(all_19_0_16) = all_4041_2_3983
% 66.21/28.22 | (1004) domain(one) = all_4041_0_3981
% 66.21/28.22 | (1005) addition(all_4041_1_3982, all_4041_0_3981) = all_4041_2_3983
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_124_0_102, all_1789_0_1783, all_3334_2_3334 and discharging atoms domain(all_124_0_102) = all_3334_2_3334, domain(all_124_0_102) = all_1789_0_1783, yields:
% 66.21/28.22 | (1006) all_3334_2_3334 = all_1789_0_1783
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_124_0_102, all_1510_0_1550, all_3334_2_3334 and discharging atoms domain(all_124_0_102) = all_3334_2_3334, domain(all_124_0_102) = all_1510_0_1550, yields:
% 66.21/28.22 | (1007) all_3334_2_3334 = all_1510_0_1550
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_3641_2_3600, all_3641_0_3598 and discharging atoms domain(all_0_1_1) = all_3641_0_3598, domain(all_0_1_1) = all_3641_2_3600, yields:
% 66.21/28.22 | (1008) all_3641_0_3598 = all_3641_2_3600
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_3334_0_3332, all_3474_0_3470 and discharging atoms domain(all_0_1_1) = all_3474_0_3470, domain(all_0_1_1) = all_3334_0_3332, yields:
% 66.21/28.22 | (1009) all_3474_0_3470 = all_3334_0_3332
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_3160_0_3206, all_3334_0_3332 and discharging atoms domain(all_0_1_1) = all_3334_0_3332, domain(all_0_1_1) = all_3160_0_3206, yields:
% 66.21/28.22 | (1010) all_3334_0_3332 = all_3160_0_3206
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_3160_2_3208, all_3160_0_3206 and discharging atoms domain(all_0_1_1) = all_3160_0_3206, domain(all_0_1_1) = all_3160_2_3208, yields:
% 66.21/28.22 | (1011) all_3160_0_3206 = all_3160_2_3208
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_2600_0_2742, all_3528_0_3518 and discharging atoms domain(all_0_1_1) = all_3528_0_3518, domain(all_0_1_1) = all_2600_0_2742, yields:
% 66.21/28.22 | (1012) all_3528_0_3518 = all_2600_0_2742
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_2402_1_2551, all_3160_2_3208 and discharging atoms domain(all_0_1_1) = all_3160_2_3208, domain(all_0_1_1) = all_2402_1_2551, yields:
% 66.21/28.22 | (1013) all_3160_2_3208 = all_2402_1_2551
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_2402_1_2551, all_2823_2_2921 and discharging atoms domain(all_0_1_1) = all_2823_2_2921, domain(all_0_1_1) = all_2402_1_2551, yields:
% 66.21/28.22 | (1014) all_2823_2_2921 = all_2402_1_2551
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_2402_2_2552, all_0_0_0 and discharging atoms domain(all_0_1_1) = all_2402_2_2552, domain(all_0_1_1) = all_0_0_0, yields:
% 66.21/28.22 | (1015) all_2402_2_2552 = all_0_0_0
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_2402_2_2552, all_3641_2_3600 and discharging atoms domain(all_0_1_1) = all_3641_2_3600, domain(all_0_1_1) = all_2402_2_2552, yields:
% 66.21/28.22 | (1016) all_3641_2_3600 = all_2402_2_2552
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_2203_1_2312, all_2823_2_2921 and discharging atoms domain(all_0_1_1) = all_2823_2_2921, domain(all_0_1_1) = all_2203_1_2312, yields:
% 66.21/28.22 | (1017) all_2823_2_2921 = all_2203_1_2312
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_2203_2_2313, all_2823_2_2921 and discharging atoms domain(all_0_1_1) = all_2823_2_2921, domain(all_0_1_1) = all_2203_2_2313, yields:
% 66.21/28.22 | (1018) all_2823_2_2921 = all_2203_2_2313
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_2203_2_2313, all_2454_0_2612 and discharging atoms domain(all_0_1_1) = all_2454_0_2612, domain(all_0_1_1) = all_2203_2_2313, yields:
% 66.21/28.22 | (1019) all_2454_0_2612 = all_2203_2_2313
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_2203_2_2313, all_2402_2_2552 and discharging atoms domain(all_0_1_1) = all_2402_2_2552, domain(all_0_1_1) = all_2203_2_2313, yields:
% 66.21/28.22 | (1020) all_2402_2_2552 = all_2203_2_2313
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_1789_2_1785, all_2454_0_2612 and discharging atoms domain(all_0_1_1) = all_2454_0_2612, domain(all_0_1_1) = all_1789_2_1785, yields:
% 66.21/28.22 | (1021) all_2454_0_2612 = all_1789_2_1785
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_1510_2_1552, all_2600_0_2742 and discharging atoms domain(all_0_1_1) = all_2600_0_2742, domain(all_0_1_1) = all_1510_2_1552, yields:
% 66.21/28.22 | (1022) all_2600_0_2742 = all_1510_2_1552
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_1510_2_1552, all_2402_2_2552 and discharging atoms domain(all_0_1_1) = all_2402_2_2552, domain(all_0_1_1) = all_1510_2_1552, yields:
% 66.21/28.22 | (1023) all_2402_2_2552 = all_1510_2_1552
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_1164_2_1144, all_3641_0_3598 and discharging atoms domain(all_0_1_1) = all_3641_0_3598, domain(all_0_1_1) = all_1164_2_1144, yields:
% 66.21/28.22 | (1024) all_3641_0_3598 = all_1164_2_1144
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_1156_1_1135, all_3528_0_3518 and discharging atoms domain(all_0_1_1) = all_3528_0_3518, domain(all_0_1_1) = all_1156_1_1135, yields:
% 66.21/28.22 | (1025) all_3528_0_3518 = all_1156_1_1135
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with all_0_1_1, all_1156_2_1136, all_3474_0_3470 and discharging atoms domain(all_0_1_1) = all_3474_0_3470, domain(all_0_1_1) = all_1156_2_1136, yields:
% 66.21/28.22 | (1026) all_3474_0_3470 = all_1156_2_1136
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3928_0_3874, all_4041_0_3981 and discharging atoms domain(one) = all_4041_0_3981, domain(one) = all_3928_0_3874, yields:
% 66.21/28.22 | (1027) all_4041_0_3981 = all_3928_0_3874
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3928_2_3876, all_3928_0_3874 and discharging atoms domain(one) = all_3928_0_3874, domain(one) = all_3928_2_3876, yields:
% 66.21/28.22 | (1028) all_3928_0_3874 = all_3928_2_3876
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3861_1_3797, all_3928_2_3876 and discharging atoms domain(one) = all_3928_2_3876, domain(one) = all_3861_1_3797, yields:
% 66.21/28.22 | (1029) all_3928_2_3876 = all_3861_1_3797
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3804_1_3729, all_3861_1_3797 and discharging atoms domain(one) = all_3861_1_3797, domain(one) = all_3804_1_3729, yields:
% 66.21/28.22 | (1030) all_3861_1_3797 = all_3804_1_3729
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3334_1_3333, all_3804_1_3729 and discharging atoms domain(one) = all_3804_1_3729, domain(one) = all_3334_1_3333, yields:
% 66.21/28.22 | (1031) all_3804_1_3729 = all_3334_1_3333
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3282_1_3290, all_3334_1_3333 and discharging atoms domain(one) = all_3334_1_3333, domain(one) = all_3282_1_3290, yields:
% 66.21/28.22 | (1032) all_3334_1_3333 = all_3282_1_3290
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3282_1_3290, all_3288_1_3297 and discharging atoms domain(one) = all_3288_1_3297, domain(one) = all_3282_1_3290, yields:
% 66.21/28.22 | (1033) all_3288_1_3297 = all_3282_1_3290
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3095_0_3152, all_3460_0_3456 and discharging atoms domain(one) = all_3460_0_3456, domain(one) = all_3095_0_3152, yields:
% 66.21/28.22 | (1034) all_3460_0_3456 = all_3095_0_3152
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3095_2_3154, all_3288_1_3297 and discharging atoms domain(one) = all_3288_1_3297, domain(one) = all_3095_2_3154, yields:
% 66.21/28.22 | (1035) all_3288_1_3297 = all_3095_2_3154
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_3095_2_3154, all_3182_1_3223 and discharging atoms domain(one) = all_3182_1_3223, domain(one) = all_3095_2_3154, yields:
% 66.21/28.22 | (1036) all_3182_1_3223 = all_3095_2_3154
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_2870_0_2956, all_3460_0_3456 and discharging atoms domain(one) = all_3460_0_3456, domain(one) = all_2870_0_2956, yields:
% 66.21/28.22 | (1037) all_3460_0_3456 = all_2870_0_2956
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_2870_2_2958, all_3460_0_3456 and discharging atoms domain(one) = all_3460_0_3456, domain(one) = all_2870_2_2958, yields:
% 66.21/28.22 | (1038) all_3460_0_3456 = all_2870_2_2958
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_2823_1_2920, all_3288_1_3297 and discharging atoms domain(one) = all_3288_1_3297, domain(one) = all_2823_1_2920, yields:
% 66.21/28.22 | (1039) all_3288_1_3297 = all_2823_1_2920
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_2823_1_2920, all_3170_0_3214 and discharging atoms domain(one) = all_3170_0_3214, domain(one) = all_2823_1_2920, yields:
% 66.21/28.22 | (1040) all_3170_0_3214 = all_2823_1_2920
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_2823_1_2920, all_2870_2_2958 and discharging atoms domain(one) = all_2870_2_2958, domain(one) = all_2823_1_2920, yields:
% 66.21/28.22 | (1041) all_2870_2_2958 = all_2823_1_2920
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_2797_0_2897, all_3288_1_3297 and discharging atoms domain(one) = all_3288_1_3297, domain(one) = all_2797_0_2897, yields:
% 66.21/28.22 | (1042) all_3288_1_3297 = all_2797_0_2897
% 66.21/28.22 |
% 66.21/28.22 | Instantiating formula (22) with one, all_2797_2_2899, all_3170_0_3214 and discharging atoms domain(one) = all_3170_0_3214, domain(one) = all_2797_2_2899, yields:
% 66.21/28.23 | (1043) all_3170_0_3214 = all_2797_2_2899
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_2648_1_2789, all_2823_1_2920 and discharging atoms domain(one) = all_2823_1_2920, domain(one) = all_2648_1_2789, yields:
% 66.21/28.23 | (1044) all_2823_1_2920 = all_2648_1_2789
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_2119_0_2230, all_3182_1_3223 and discharging atoms domain(one) = all_3182_1_3223, domain(one) = all_2119_0_2230, yields:
% 66.21/28.23 | (1045) all_3182_1_3223 = all_2119_0_2230
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_2082_2_2194, all_4041_0_3981 and discharging atoms domain(one) = all_4041_0_3981, domain(one) = all_2082_2_2194, yields:
% 66.21/28.23 | (1046) all_4041_0_3981 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_1687_0_1683, all_3288_1_3297 and discharging atoms domain(one) = all_3288_1_3297, domain(one) = all_1687_0_1683, yields:
% 66.21/28.23 | (1047) all_3288_1_3297 = all_1687_0_1683
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_1687_0_1683, all_2082_0_2192 and discharging atoms domain(one) = all_2082_0_2192, domain(one) = all_1687_0_1683, yields:
% 66.21/28.23 | (1048) all_2082_0_2192 = all_1687_0_1683
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_1687_2_1685, all_2082_0_2192 and discharging atoms domain(one) = all_2082_0_2192, domain(one) = all_1687_2_1685, yields:
% 66.21/28.23 | (1049) all_2082_0_2192 = all_1687_2_1685
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_1666_0_1665, all_2082_0_2192 and discharging atoms domain(one) = all_2082_0_2192, domain(one) = all_1666_0_1665, yields:
% 66.21/28.23 | (1050) all_2082_0_2192 = all_1666_0_1665
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_1666_2_1667, all_1666_0_1665 and discharging atoms domain(one) = all_1666_0_1665, domain(one) = all_1666_2_1667, yields:
% 66.21/28.23 | (1051) all_1666_0_1665 = all_1666_2_1667
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_1164_1_1143, all_1666_0_1665 and discharging atoms domain(one) = all_1666_0_1665, domain(one) = all_1164_1_1143, yields:
% 66.21/28.23 | (1052) all_1666_0_1665 = all_1164_1_1143
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_1099_1_1088, all_1164_1_1143 and discharging atoms domain(one) = all_1164_1_1143, domain(one) = all_1099_1_1088, yields:
% 66.21/28.23 | (1053) all_1164_1_1143 = all_1099_1_1088
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_649_1_587, all_3460_0_3456 and discharging atoms domain(one) = all_3460_0_3456, domain(one) = all_649_1_587, yields:
% 66.21/28.23 | (1054) all_3460_0_3456 = all_649_1_587
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_550_0_478, all_1099_1_1088 and discharging atoms domain(one) = all_1099_1_1088, domain(one) = all_550_0_478, yields:
% 66.21/28.23 | (1055) all_1099_1_1088 = all_550_0_478
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_536_0_468, all_550_0_478 and discharging atoms domain(one) = all_550_0_478, domain(one) = all_536_0_468, yields:
% 66.21/28.23 | (1056) all_550_0_478 = all_536_0_468
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_487_0_423, all_47_2_33 and discharging atoms domain(one) = all_487_0_423, domain(one) = all_47_2_33, yields:
% 66.21/28.23 | (1057) all_487_0_423 = all_47_2_33
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_487_0_423, all_536_0_468 and discharging atoms domain(one) = all_536_0_468, domain(one) = all_487_0_423, yields:
% 66.21/28.23 | (1058) all_536_0_468 = all_487_0_423
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (22) with one, all_487_2_425, all_1099_1_1088 and discharging atoms domain(one) = all_1099_1_1088, domain(one) = all_487_2_425, yields:
% 66.21/28.23 | (1059) all_1099_1_1088 = all_487_2_425
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with all_56_0_42, one, all_3571_0_3554, one and discharging atoms addition(all_56_0_42, one) = all_3571_0_3554, addition(all_56_0_42, one) = one, yields:
% 66.21/28.23 | (1060) all_3571_0_3554 = one
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with all_56_2_44, all_0_0_0, all_2793_0_2895, all_0_0_0 and discharging atoms addition(all_56_2_44, all_0_0_0) = all_2793_0_2895, addition(all_56_2_44, all_0_0_0) = all_0_0_0, yields:
% 66.21/28.23 | (1061) all_2793_0_2895 = all_0_0_0
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with all_47_2_33, all_37_2_24, all_3697_0_3641, all_70_2_62 and discharging atoms addition(all_47_2_33, all_37_2_24) = all_3697_0_3641, addition(all_47_2_33, all_37_2_24) = all_70_2_62, yields:
% 66.21/28.23 | (1062) all_3697_0_3641 = all_70_2_62
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with all_37_2_24, one, all_3238_0_3263, one and discharging atoms addition(all_37_2_24, one) = all_3238_0_3263, addition(all_37_2_24, one) = one, yields:
% 66.21/28.23 | (1063) all_3238_0_3263 = one
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_70_2_62, one, all_2496_0_2651 and discharging atoms addition(one, all_70_2_62) = all_2496_0_2651, addition(one, all_70_2_62) = one, yields:
% 66.21/28.23 | (1064) all_2496_0_2651 = one
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_47_2_33, all_3569_0_3553, all_3573_0_3555 and discharging atoms addition(one, all_47_2_33) = all_3573_0_3555, addition(one, all_47_2_33) = all_3569_0_3553, yields:
% 66.21/28.23 | (1065) all_3573_0_3555 = all_3569_0_3553
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_47_2_33, all_3240_0_3264, all_47_2_33 and discharging atoms addition(one, all_47_2_33) = all_3240_0_3264, addition(one, all_47_2_33) = all_47_2_33, yields:
% 66.21/28.23 | (1066) all_3240_0_3264 = all_47_2_33
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_47_2_33, all_3240_0_3264, all_3695_0_3640 and discharging atoms addition(one, all_47_2_33) = all_3695_0_3640, addition(one, all_47_2_33) = all_3240_0_3264, yields:
% 66.21/28.23 | (1067) all_3695_0_3640 = all_3240_0_3264
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_47_2_33, all_3220_0_3254, all_3569_0_3553 and discharging atoms addition(one, all_47_2_33) = all_3569_0_3553, addition(one, all_47_2_33) = all_3220_0_3254, yields:
% 66.21/28.23 | (1068) all_3569_0_3553 = all_3220_0_3254
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_47_2_33, all_3218_0_3253, all_3240_0_3264 and discharging atoms addition(one, all_47_2_33) = all_3240_0_3264, addition(one, all_47_2_33) = all_3218_0_3253, yields:
% 66.21/28.23 | (1069) all_3240_0_3264 = all_3218_0_3253
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_47_2_33, all_3218_0_3253, all_3220_0_3254 and discharging atoms addition(one, all_47_2_33) = all_3220_0_3254, addition(one, all_47_2_33) = all_3218_0_3253, yields:
% 66.21/28.23 | (1070) all_3220_0_3254 = all_3218_0_3253
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_47_2_33, all_3216_0_3252, all_3218_0_3253 and discharging atoms addition(one, all_47_2_33) = all_3218_0_3253, addition(one, all_47_2_33) = all_3216_0_3252, yields:
% 66.21/28.23 | (1071) all_3218_0_3253 = all_3216_0_3252
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_47_2_33, all_3190_0_3228, all_3695_0_3640 and discharging atoms addition(one, all_47_2_33) = all_3695_0_3640, addition(one, all_47_2_33) = all_3190_0_3228, yields:
% 66.21/28.23 | (1072) all_3695_0_3640 = all_3190_0_3228
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_47_2_33, one, all_3573_0_3555 and discharging atoms addition(one, all_47_2_33) = all_3573_0_3555, addition(one, all_47_2_33) = one, yields:
% 66.21/28.23 | (1073) all_3573_0_3555 = one
% 66.21/28.23 |
% 66.21/28.23 | Instantiating formula (24) with one, all_0_0_0, all_1130_0_1119, one and discharging atoms addition(one, all_0_0_0) = all_1130_0_1119, addition(one, all_0_0_0) = one, yields:
% 66.21/28.23 | (1074) all_1130_0_1119 = one
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1027,1046) yields a new equation:
% 66.21/28.23 | (1075) all_3928_0_3874 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1075 yields:
% 66.21/28.23 | (1076) all_3928_0_3874 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1028,1076) yields a new equation:
% 66.21/28.23 | (1077) all_3928_2_3876 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1077 yields:
% 66.21/28.23 | (1078) all_3928_2_3876 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1029,1078) yields a new equation:
% 66.21/28.23 | (1079) all_3861_1_3797 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1079 yields:
% 66.21/28.23 | (1080) all_3861_1_3797 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1030,1080) yields a new equation:
% 66.21/28.23 | (1081) all_3804_1_3729 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1081 yields:
% 66.21/28.23 | (1082) all_3804_1_3729 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1031,1082) yields a new equation:
% 66.21/28.23 | (1083) all_3334_1_3333 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1083 yields:
% 66.21/28.23 | (1084) all_3334_1_3333 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1067,1072) yields a new equation:
% 66.21/28.23 | (1085) all_3240_0_3264 = all_3190_0_3228
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1085 yields:
% 66.21/28.23 | (1086) all_3240_0_3264 = all_3190_0_3228
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1008,1024) yields a new equation:
% 66.21/28.23 | (1087) all_3641_2_3600 = all_1164_2_1144
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1087 yields:
% 66.21/28.23 | (1088) all_3641_2_3600 = all_1164_2_1144
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1016,1088) yields a new equation:
% 66.21/28.23 | (1089) all_2402_2_2552 = all_1164_2_1144
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1089 yields:
% 66.21/28.23 | (1090) all_2402_2_2552 = all_1164_2_1144
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1065,1073) yields a new equation:
% 66.21/28.23 | (1091) all_3569_0_3553 = one
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1091 yields:
% 66.21/28.23 | (1092) all_3569_0_3553 = one
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1068,1092) yields a new equation:
% 66.21/28.23 | (1093) all_3220_0_3254 = one
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1093 yields:
% 66.21/28.23 | (1094) all_3220_0_3254 = one
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1012,1025) yields a new equation:
% 66.21/28.23 | (1095) all_2600_0_2742 = all_1156_1_1135
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1095 yields:
% 66.21/28.23 | (1096) all_2600_0_2742 = all_1156_1_1135
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1009,1026) yields a new equation:
% 66.21/28.23 | (1097) all_3334_0_3332 = all_1156_2_1136
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1097 yields:
% 66.21/28.23 | (1098) all_3334_0_3332 = all_1156_2_1136
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1037,1034) yields a new equation:
% 66.21/28.23 | (1099) all_3095_0_3152 = all_2870_0_2956
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1054,1034) yields a new equation:
% 66.21/28.23 | (1100) all_3095_0_3152 = all_649_1_587
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1038,1034) yields a new equation:
% 66.21/28.23 | (1101) all_3095_0_3152 = all_2870_2_2958
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1010,1098) yields a new equation:
% 66.21/28.23 | (1102) all_3160_0_3206 = all_1156_2_1136
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1102 yields:
% 66.21/28.23 | (1103) all_3160_0_3206 = all_1156_2_1136
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1032,1084) yields a new equation:
% 66.21/28.23 | (1104) all_3282_1_3290 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1104 yields:
% 66.21/28.23 | (1105) all_3282_1_3290 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1007,1006) yields a new equation:
% 66.21/28.23 | (1106) all_1789_0_1783 = all_1510_0_1550
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1035,1042) yields a new equation:
% 66.21/28.23 | (1107) all_3095_2_3154 = all_2797_0_2897
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1107 yields:
% 66.21/28.23 | (1108) all_3095_2_3154 = all_2797_0_2897
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1033,1042) yields a new equation:
% 66.21/28.23 | (1109) all_3282_1_3290 = all_2797_0_2897
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1109 yields:
% 66.21/28.23 | (1110) all_3282_1_3290 = all_2797_0_2897
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1047,1042) yields a new equation:
% 66.21/28.23 | (1111) all_2797_0_2897 = all_1687_0_1683
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1039,1042) yields a new equation:
% 66.21/28.23 | (1112) all_2823_1_2920 = all_2797_0_2897
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1112 yields:
% 66.21/28.23 | (1113) all_2823_1_2920 = all_2797_0_2897
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1110,1105) yields a new equation:
% 66.21/28.23 | (1114) all_2797_0_2897 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1114 yields:
% 66.21/28.23 | (1115) all_2797_0_2897 = all_2082_2_2194
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1066,1086) yields a new equation:
% 66.21/28.23 | (1116) all_3190_0_3228 = all_47_2_33
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1069,1086) yields a new equation:
% 66.21/28.23 | (1117) all_3218_0_3253 = all_3190_0_3228
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1117 yields:
% 66.21/28.23 | (1118) all_3218_0_3253 = all_3190_0_3228
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1070,1094) yields a new equation:
% 66.21/28.23 | (1119) all_3218_0_3253 = one
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1119 yields:
% 66.21/28.23 | (1120) all_3218_0_3253 = one
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1120,1071) yields a new equation:
% 66.21/28.23 | (1121) all_3216_0_3252 = one
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1118,1071) yields a new equation:
% 66.21/28.23 | (1122) all_3216_0_3252 = all_3190_0_3228
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1122,1121) yields a new equation:
% 66.21/28.23 | (1123) all_3190_0_3228 = one
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1123 yields:
% 66.21/28.23 | (1124) all_3190_0_3228 = one
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1116,1124) yields a new equation:
% 66.21/28.23 | (1125) all_47_2_33 = one
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1125 yields:
% 66.21/28.23 | (1126) all_47_2_33 = one
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1036,1045) yields a new equation:
% 66.21/28.23 | (1127) all_3095_2_3154 = all_2119_0_2230
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1127 yields:
% 66.21/28.23 | (1128) all_3095_2_3154 = all_2119_0_2230
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1040,1043) yields a new equation:
% 66.21/28.23 | (1129) all_2823_1_2920 = all_2797_2_2899
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1129 yields:
% 66.21/28.23 | (1130) all_2823_1_2920 = all_2797_2_2899
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1011,1103) yields a new equation:
% 66.21/28.23 | (1131) all_3160_2_3208 = all_1156_2_1136
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1131 yields:
% 66.21/28.23 | (1132) all_3160_2_3208 = all_1156_2_1136
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1013,1132) yields a new equation:
% 66.21/28.23 | (1133) all_2402_1_2551 = all_1156_2_1136
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1133 yields:
% 66.21/28.23 | (1134) all_2402_1_2551 = all_1156_2_1136
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1100,1099) yields a new equation:
% 66.21/28.23 | (1135) all_2870_0_2956 = all_649_1_587
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1101,1099) yields a new equation:
% 66.21/28.23 | (1136) all_2870_0_2956 = all_2870_2_2958
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1108,1128) yields a new equation:
% 66.21/28.23 | (1137) all_2797_0_2897 = all_2119_0_2230
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1137 yields:
% 66.21/28.23 | (1138) all_2797_0_2897 = all_2119_0_2230
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1136,1135) yields a new equation:
% 66.21/28.23 | (1139) all_2870_2_2958 = all_649_1_587
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1139 yields:
% 66.21/28.23 | (1140) all_2870_2_2958 = all_649_1_587
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1041,1140) yields a new equation:
% 66.21/28.23 | (1141) all_2823_1_2920 = all_649_1_587
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1141 yields:
% 66.21/28.23 | (1142) all_2823_1_2920 = all_649_1_587
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1044,1130) yields a new equation:
% 66.21/28.23 | (1143) all_2797_2_2899 = all_2648_1_2789
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1113,1130) yields a new equation:
% 66.21/28.23 | (1144) all_2797_0_2897 = all_2797_2_2899
% 66.21/28.23 |
% 66.21/28.23 | Simplifying 1144 yields:
% 66.21/28.23 | (1145) all_2797_0_2897 = all_2797_2_2899
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1142,1130) yields a new equation:
% 66.21/28.23 | (1146) all_2797_2_2899 = all_649_1_587
% 66.21/28.23 |
% 66.21/28.23 | Combining equations (1018,1017) yields a new equation:
% 66.21/28.24 | (1147) all_2203_1_2312 = all_2203_2_2313
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1014,1017) yields a new equation:
% 66.21/28.24 | (1148) all_2402_1_2551 = all_2203_1_2312
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1148 yields:
% 66.21/28.24 | (1149) all_2402_1_2551 = all_2203_1_2312
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1111,1138) yields a new equation:
% 66.21/28.24 | (1150) all_2119_0_2230 = all_1687_0_1683
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1145,1138) yields a new equation:
% 66.21/28.24 | (1151) all_2797_2_2899 = all_2119_0_2230
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1151 yields:
% 66.21/28.24 | (1152) all_2797_2_2899 = all_2119_0_2230
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1115,1138) yields a new equation:
% 66.21/28.24 | (1153) all_2119_0_2230 = all_2082_2_2194
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1146,1143) yields a new equation:
% 66.21/28.24 | (1154) all_2648_1_2789 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1152,1143) yields a new equation:
% 66.21/28.24 | (1155) all_2648_1_2789 = all_2119_0_2230
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1155,1154) yields a new equation:
% 66.21/28.24 | (1156) all_2119_0_2230 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1156 yields:
% 66.21/28.24 | (1157) all_2119_0_2230 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1022,1096) yields a new equation:
% 66.21/28.24 | (1158) all_1510_2_1552 = all_1156_1_1135
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1158 yields:
% 66.21/28.24 | (1159) all_1510_2_1552 = all_1156_1_1135
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1019,1021) yields a new equation:
% 66.21/28.24 | (1160) all_2203_2_2313 = all_1789_2_1785
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1160 yields:
% 66.21/28.24 | (1161) all_2203_2_2313 = all_1789_2_1785
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1149,1134) yields a new equation:
% 66.21/28.24 | (1162) all_2203_1_2312 = all_1156_2_1136
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1162 yields:
% 66.21/28.24 | (1163) all_2203_1_2312 = all_1156_2_1136
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1023,1090) yields a new equation:
% 66.21/28.24 | (1164) all_1510_2_1552 = all_1164_2_1144
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1164 yields:
% 66.21/28.24 | (1165) all_1510_2_1552 = all_1164_2_1144
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1020,1090) yields a new equation:
% 66.21/28.24 | (1166) all_2203_2_2313 = all_1164_2_1144
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1166 yields:
% 66.21/28.24 | (1167) all_2203_2_2313 = all_1164_2_1144
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1015,1090) yields a new equation:
% 66.21/28.24 | (1168) all_1164_2_1144 = all_0_0_0
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1147,1163) yields a new equation:
% 66.21/28.24 | (1169) all_2203_2_2313 = all_1156_2_1136
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1169 yields:
% 66.21/28.24 | (1170) all_2203_2_2313 = all_1156_2_1136
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1170,1161) yields a new equation:
% 66.21/28.24 | (1171) all_1789_2_1785 = all_1156_2_1136
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1167,1161) yields a new equation:
% 66.21/28.24 | (1172) all_1789_2_1785 = all_1164_2_1144
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1150,1153) yields a new equation:
% 66.21/28.24 | (1173) all_2082_2_2194 = all_1687_0_1683
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1157,1153) yields a new equation:
% 66.21/28.24 | (1174) all_2082_2_2194 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1050,1049) yields a new equation:
% 66.21/28.24 | (1175) all_1687_2_1685 = all_1666_0_1665
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1048,1049) yields a new equation:
% 66.21/28.24 | (1176) all_1687_0_1683 = all_1687_2_1685
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1176 yields:
% 66.21/28.24 | (1177) all_1687_0_1683 = all_1687_2_1685
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1173,1174) yields a new equation:
% 66.21/28.24 | (1178) all_1687_0_1683 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1178 yields:
% 66.21/28.24 | (1179) all_1687_0_1683 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1172,1171) yields a new equation:
% 66.21/28.24 | (1180) all_1164_2_1144 = all_1156_2_1136
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1180 yields:
% 66.21/28.24 | (1181) all_1164_2_1144 = all_1156_2_1136
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1177,1179) yields a new equation:
% 66.21/28.24 | (1182) all_1687_2_1685 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1182 yields:
% 66.21/28.24 | (1183) all_1687_2_1685 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1175,1183) yields a new equation:
% 66.21/28.24 | (1184) all_1666_0_1665 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1184 yields:
% 66.21/28.24 | (1185) all_1666_0_1665 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1052,1051) yields a new equation:
% 66.21/28.24 | (1186) all_1666_2_1667 = all_1164_1_1143
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1185,1051) yields a new equation:
% 66.21/28.24 | (1187) all_1666_2_1667 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1186,1187) yields a new equation:
% 66.21/28.24 | (1188) all_1164_1_1143 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1188 yields:
% 66.21/28.24 | (1189) all_1164_1_1143 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1165,1159) yields a new equation:
% 66.21/28.24 | (1190) all_1164_2_1144 = all_1156_1_1135
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1190 yields:
% 66.21/28.24 | (1191) all_1164_2_1144 = all_1156_1_1135
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1053,1189) yields a new equation:
% 66.21/28.24 | (1192) all_1099_1_1088 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1192 yields:
% 66.21/28.24 | (1193) all_1099_1_1088 = all_649_1_587
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1168,1191) yields a new equation:
% 66.21/28.24 | (1194) all_1156_1_1135 = all_0_0_0
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1181,1191) yields a new equation:
% 66.21/28.24 | (1195) all_1156_1_1135 = all_1156_2_1136
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1194,1195) yields a new equation:
% 66.21/28.24 | (1196) all_1156_2_1136 = all_0_0_0
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1055,1193) yields a new equation:
% 66.21/28.24 | (1197) all_649_1_587 = all_550_0_478
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1059,1193) yields a new equation:
% 66.21/28.24 | (1198) all_649_1_587 = all_487_2_425
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1197,1198) yields a new equation:
% 66.21/28.24 | (1199) all_550_0_478 = all_487_2_425
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1199 yields:
% 66.21/28.24 | (1200) all_550_0_478 = all_487_2_425
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1056,1200) yields a new equation:
% 66.21/28.24 | (1201) all_536_0_468 = all_487_2_425
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1201 yields:
% 66.21/28.24 | (1202) all_536_0_468 = all_487_2_425
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1058,1202) yields a new equation:
% 66.21/28.24 | (1203) all_487_0_423 = all_487_2_425
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1203 yields:
% 66.21/28.24 | (1204) all_487_0_423 = all_487_2_425
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1057,1204) yields a new equation:
% 66.21/28.24 | (1205) all_487_2_425 = all_47_2_33
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1126,1205) yields a new equation:
% 66.21/28.24 | (1206) all_487_2_425 = one
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1206,1198) yields a new equation:
% 66.21/28.24 | (1207) all_649_1_587 = one
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1207,1174) yields a new equation:
% 66.21/28.24 | (1208) all_2082_2_2194 = one
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1106,1006) yields a new equation:
% 66.21/28.24 | (1007) all_3334_2_3334 = all_1510_0_1550
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1208,1084) yields a new equation:
% 66.21/28.24 | (1210) all_3334_1_3333 = one
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1196,1098) yields a new equation:
% 66.21/28.24 | (1211) all_3334_0_3332 = all_0_0_0
% 66.21/28.24 |
% 66.21/28.24 | From (1060)(1126) and (967) follows:
% 66.21/28.24 | (1212) addition(one, one) = all_56_2_44
% 66.21/28.24 |
% 66.21/28.24 | From (1210)(1211)(1007) and (947) follows:
% 66.21/28.24 | (1213) addition(one, all_0_0_0) = all_1510_0_1550
% 66.21/28.24 |
% 66.21/28.24 | From (1063)(1126) and (928) follows:
% 66.21/28.24 | (1214) addition(one, one) = all_70_2_62
% 66.21/28.24 |
% 66.21/28.24 | From (1061) and (875) follows:
% 66.21/28.24 | (672) addition(all_56_2_44, all_0_0_0) = all_0_0_0
% 66.21/28.24 |
% 66.21/28.24 | From (1126) and (1000) follows:
% 66.21/28.24 | (1216) addition(one, all_70_2_62) = all_3960_0_3906
% 66.21/28.24 |
% 66.21/28.24 | From (1126) and (879) follows:
% 66.21/28.24 | (1217) addition(one, all_0_0_0) = all_2795_0_2896
% 66.21/28.24 |
% 66.21/28.24 | From (1062) and (982) follows:
% 66.21/28.24 | (1218) addition(one, all_70_2_62) = all_70_2_62
% 66.21/28.24 |
% 66.21/28.24 | From (1064) and (863) follows:
% 66.21/28.24 | (739) addition(one, all_70_2_62) = one
% 66.21/28.24 |
% 66.21/28.24 | From (1074) and (805) follows:
% 66.21/28.24 | (77) addition(one, all_0_0_0) = one
% 66.21/28.24 |
% 66.21/28.24 +-Applying beta-rule and splitting (741), into two cases.
% 66.21/28.24 |-Branch one:
% 66.21/28.24 | (1221) all_56_2_44 = all_47_2_33
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1126,1221) yields a new equation:
% 66.21/28.24 | (1222) all_56_2_44 = one
% 66.21/28.24 |
% 66.21/28.24 | From (1222) and (672) follows:
% 66.21/28.24 | (1223) addition(one, all_0_0_0) = all_0_0_0
% 66.21/28.24 |
% 66.21/28.24 | Instantiating formula (24) with one, all_0_0_0, all_2795_0_2896, one and discharging atoms addition(one, all_0_0_0) = all_2795_0_2896, addition(one, all_0_0_0) = one, yields:
% 66.21/28.24 | (1224) all_2795_0_2896 = one
% 66.21/28.24 |
% 66.21/28.24 | Instantiating formula (24) with one, all_0_0_0, all_1510_0_1550, all_2795_0_2896 and discharging atoms addition(one, all_0_0_0) = all_2795_0_2896, addition(one, all_0_0_0) = all_1510_0_1550, yields:
% 66.21/28.24 | (1225) all_2795_0_2896 = all_1510_0_1550
% 66.21/28.24 |
% 66.21/28.24 | Instantiating formula (24) with one, all_0_0_0, all_0_0_0, all_2795_0_2896 and discharging atoms addition(one, all_0_0_0) = all_2795_0_2896, addition(one, all_0_0_0) = all_0_0_0, yields:
% 66.21/28.24 | (1226) all_2795_0_2896 = all_0_0_0
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1224,1225) yields a new equation:
% 66.21/28.24 | (1227) all_1510_0_1550 = one
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1226,1225) yields a new equation:
% 66.21/28.24 | (1228) all_1510_0_1550 = all_0_0_0
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1227,1228) yields a new equation:
% 66.21/28.24 | (520) all_0_0_0 = one
% 66.21/28.24 |
% 66.21/28.24 | Equations (520) can reduce 9 to:
% 66.21/28.24 | (521) $false
% 66.21/28.24 |
% 66.21/28.24 |-The branch is then unsatisfiable
% 66.21/28.24 |-Branch two:
% 66.21/28.24 | (1231) ~ (all_56_2_44 = all_47_2_33)
% 66.21/28.24 | (1232) ? [v0] : ( ~ (v0 = 0) & leq(all_56_0_42, all_47_2_33) = v0)
% 66.21/28.24 |
% 66.21/28.24 | Equations (1126) can reduce 1231 to:
% 66.21/28.24 | (1233) ~ (all_56_2_44 = one)
% 66.21/28.24 |
% 66.21/28.24 | Instantiating formula (24) with one, all_70_2_62, all_3960_0_3906, one and discharging atoms addition(one, all_70_2_62) = all_3960_0_3906, addition(one, all_70_2_62) = one, yields:
% 66.21/28.24 | (1234) all_3960_0_3906 = one
% 66.21/28.24 |
% 66.21/28.24 | Instantiating formula (24) with one, all_70_2_62, all_70_2_62, all_3960_0_3906 and discharging atoms addition(one, all_70_2_62) = all_3960_0_3906, addition(one, all_70_2_62) = all_70_2_62, yields:
% 66.21/28.24 | (1235) all_3960_0_3906 = all_70_2_62
% 66.21/28.24 |
% 66.21/28.24 | Instantiating formula (24) with one, one, all_56_2_44, all_70_2_62 and discharging atoms addition(one, one) = all_70_2_62, addition(one, one) = all_56_2_44, yields:
% 66.21/28.24 | (1236) all_70_2_62 = all_56_2_44
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1234,1235) yields a new equation:
% 66.21/28.24 | (1237) all_70_2_62 = one
% 66.21/28.24 |
% 66.21/28.24 | Combining equations (1236,1237) yields a new equation:
% 66.21/28.24 | (1238) all_56_2_44 = one
% 66.21/28.24 |
% 66.21/28.24 | Simplifying 1238 yields:
% 66.21/28.24 | (1222) all_56_2_44 = one
% 66.21/28.25 |
% 66.21/28.25 | Equations (1222) can reduce 1233 to:
% 66.21/28.25 | (521) $false
% 66.21/28.25 |
% 66.21/28.25 |-The branch is then unsatisfiable
% 66.21/28.25 |-Branch two:
% 66.21/28.25 | (1241) ~ (all_223_2_211 = 0) & leq(one, all_67_2_58) = all_223_2_211
% 66.21/28.25 |
% 66.21/28.25 | Applying alpha-rule on (1241) yields:
% 66.21/28.25 | (1242) ~ (all_223_2_211 = 0)
% 66.21/28.25 | (1243) leq(one, all_67_2_58) = all_223_2_211
% 66.21/28.25 |
% 66.21/28.25 | Instantiating formula (20) with one, all_67_2_58, 0, all_223_2_211 and discharging atoms leq(one, all_67_2_58) = all_223_2_211, leq(one, all_67_2_58) = 0, yields:
% 66.21/28.25 | (1244) all_223_2_211 = 0
% 66.21/28.25 |
% 66.21/28.25 | Equations (1244) can reduce 1242 to:
% 66.21/28.25 | (521) $false
% 66.21/28.25 |
% 66.21/28.25 |-The branch is then unsatisfiable
% 66.21/28.25 |-Branch two:
% 66.21/28.25 | (1246) ~ (all_168_2_151 = 0) & leq(one, all_67_2_58) = all_168_2_151
% 66.21/28.25 |
% 66.21/28.25 | Applying alpha-rule on (1246) yields:
% 66.21/28.25 | (1247) ~ (all_168_2_151 = 0)
% 66.21/28.25 | (1248) leq(one, all_67_2_58) = all_168_2_151
% 66.21/28.25 |
% 66.21/28.25 | Instantiating formula (20) with one, all_67_2_58, 0, all_168_2_151 and discharging atoms leq(one, all_67_2_58) = all_168_2_151, leq(one, all_67_2_58) = 0, yields:
% 66.21/28.25 | (1249) all_168_2_151 = 0
% 66.21/28.25 |
% 66.21/28.25 | Equations (1249) can reduce 1247 to:
% 66.21/28.25 | (521) $false
% 66.21/28.25 |
% 66.21/28.25 |-The branch is then unsatisfiable
% 66.21/28.25 |-Branch two:
% 66.21/28.25 | (1251) ~ (all_152_2_134 = 0) & leq(all_23_0_19, all_0_1_1) = all_152_2_134
% 66.21/28.25 |
% 66.21/28.25 | Applying alpha-rule on (1251) yields:
% 66.21/28.25 | (1252) ~ (all_152_2_134 = 0)
% 66.21/28.25 | (1253) leq(all_23_0_19, all_0_1_1) = all_152_2_134
% 66.21/28.25 |
% 66.21/28.25 | Instantiating formula (20) with all_23_0_19, all_0_1_1, all_152_2_134, 0 and discharging atoms leq(all_23_0_19, all_0_1_1) = all_152_2_134, leq(all_23_0_19, all_0_1_1) = 0, yields:
% 66.21/28.25 | (1254) all_152_2_134 = 0
% 66.21/28.25 |
% 66.21/28.25 | Equations (1254) can reduce 1252 to:
% 66.21/28.25 | (521) $false
% 66.21/28.25 |
% 66.21/28.25 |-The branch is then unsatisfiable
% 66.21/28.25 |-Branch two:
% 66.21/28.25 | (1256) ~ (all_208_2_198 = 0) & leq(all_19_0_16, all_0_1_1) = all_208_2_198
% 66.21/28.25 |
% 66.21/28.25 | Applying alpha-rule on (1256) yields:
% 66.21/28.25 | (1257) ~ (all_208_2_198 = 0)
% 66.21/28.25 | (1258) leq(all_19_0_16, all_0_1_1) = all_208_2_198
% 66.21/28.25 |
% 66.21/28.25 | Instantiating formula (20) with all_19_0_16, all_0_1_1, all_208_2_198, 0 and discharging atoms leq(all_19_0_16, all_0_1_1) = all_208_2_198, leq(all_19_0_16, all_0_1_1) = 0, yields:
% 66.21/28.25 | (1259) all_208_2_198 = 0
% 66.21/28.25 |
% 66.21/28.25 | Equations (1259) can reduce 1257 to:
% 66.21/28.25 | (521) $false
% 66.21/28.25 |
% 66.21/28.25 |-The branch is then unsatisfiable
% 66.21/28.25 |-Branch two:
% 66.21/28.25 | (1261) ~ (all_72_2_65 = 0) & leq(zero, zero) = all_72_2_65
% 66.21/28.25 |
% 66.21/28.25 | Applying alpha-rule on (1261) yields:
% 66.21/28.25 | (1262) ~ (all_72_2_65 = 0)
% 66.21/28.25 | (1263) leq(zero, zero) = all_72_2_65
% 66.21/28.25 |
% 66.21/28.25 | Instantiating formula (20) with zero, zero, 0, all_72_2_65 and discharging atoms leq(zero, zero) = all_72_2_65, leq(zero, zero) = 0, yields:
% 66.21/28.25 | (1264) all_72_2_65 = 0
% 66.21/28.25 |
% 66.21/28.25 | Equations (1264) can reduce 1262 to:
% 66.21/28.25 | (521) $false
% 66.21/28.25 |
% 66.21/28.25 |-The branch is then unsatisfiable
% 66.21/28.25 |-Branch two:
% 66.21/28.25 | (1266) ~ (all_67_2_58 = 0) & leq(zero, zero) = all_67_2_58
% 66.21/28.25 |
% 66.21/28.25 | Applying alpha-rule on (1266) yields:
% 66.21/28.25 | (1267) ~ (all_67_2_58 = 0)
% 66.21/28.25 | (1268) leq(zero, zero) = all_67_2_58
% 66.21/28.25 |
% 66.21/28.25 | Instantiating formula (20) with zero, zero, 0, all_67_2_58 and discharging atoms leq(zero, zero) = all_67_2_58, leq(zero, zero) = 0, yields:
% 66.21/28.25 | (1269) all_67_2_58 = 0
% 66.21/28.25 |
% 66.21/28.25 | Equations (1269) can reduce 1267 to:
% 66.21/28.25 | (521) $false
% 66.21/28.25 |
% 66.21/28.25 |-The branch is then unsatisfiable
% 66.21/28.25 % SZS output end Proof for theBenchmark
% 66.21/28.25
% 66.21/28.25 27655ms
%------------------------------------------------------------------------------