TSTP Solution File: KLE040+2 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KLE040+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 01:51:05 EDT 2022
% Result : Theorem 32.12s 8.47s
% Output : Proof 41.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : KLE040+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jun 16 09:19:44 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.56/0.61 ____ _
% 0.56/0.61 ___ / __ \_____(_)___ ________ __________
% 0.56/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.61
% 0.56/0.61 A Theorem Prover for First-Order Logic
% 0.56/0.61 (ePrincess v.1.0)
% 0.56/0.61
% 0.56/0.61 (c) Philipp Rümmer, 2009-2015
% 0.56/0.61 (c) Peter Backeman, 2014-2015
% 0.56/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.61 Bug reports to peter@backeman.se
% 0.56/0.61
% 0.56/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.61
% 0.56/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.72/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.63/0.94 Prover 0: Preprocessing ...
% 2.21/1.17 Prover 0: Constructing countermodel ...
% 21.56/5.96 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.98/5.99 Prover 1: Preprocessing ...
% 22.11/6.07 Prover 1: Constructing countermodel ...
% 22.54/6.17 Prover 1: gave up
% 22.54/6.17 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 22.96/6.19 Prover 2: Preprocessing ...
% 22.96/6.23 Prover 2: Warning: ignoring some quantifiers
% 22.96/6.23 Prover 2: Constructing countermodel ...
% 29.73/7.91 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 29.73/7.92 Prover 3: Preprocessing ...
% 29.99/7.94 Prover 3: Constructing countermodel ...
% 29.99/7.96 Prover 3: gave up
% 29.99/7.96 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 29.99/7.98 Prover 4: Preprocessing ...
% 30.33/8.01 Prover 4: Warning: ignoring some quantifiers
% 30.33/8.01 Prover 4: Constructing countermodel ...
% 31.78/8.46 Prover 4: proved (501ms)
% 31.78/8.47 Prover 0: stopped
% 32.12/8.47 Prover 2: stopped
% 32.12/8.47
% 32.12/8.47 No countermodel exists, formula is valid
% 32.12/8.47 % SZS status Theorem for theBenchmark
% 32.12/8.47
% 32.12/8.47 Generating proof ... Warning: ignoring some quantifiers
% 40.89/11.65 found it (size 660)
% 40.89/11.65
% 40.89/11.65 % SZS output start Proof for theBenchmark
% 40.89/11.65 Assumed formulas after preprocessing and simplification:
% 40.89/11.65 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (star(v0) = v1 & leq(v2, v1) = v3 & leq(v1, v2) = v4 & multiplication(v1, v1) = v2 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (star(v6) = v8) | ~ (leq(v9, v5) = v10) | ~ (multiplication(v7, v8) = v9) | ? [v11] : ? [v12] : ? [v13] : ( ~ (v13 = 0) & leq(v12, v5) = v13 & multiplication(v5, v6) = v11 & addition(v11, v7) = v12)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (star(v5) = v8) | ~ (leq(v9, v6) = v10) | ~ (multiplication(v8, v7) = v9) | ? [v11] : ? [v12] : ? [v13] : ( ~ (v13 = 0) & leq(v12, v6) = v13 & multiplication(v5, v6) = v11 & addition(v11, v7) = v12)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (multiplication(v6, v7) = v9) | ~ (multiplication(v5, v7) = v8) | ~ (addition(v8, v9) = v10) | ? [v11] : (multiplication(v11, v7) = v10 & addition(v5, v6) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (multiplication(v5, v7) = v9) | ~ (multiplication(v5, v6) = v8) | ~ (addition(v8, v9) = v10) | ? [v11] : (multiplication(v5, v11) = v10 & addition(v6, v7) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v8, v7) = v9) | ~ (multiplication(v5, v6) = v8) | ? [v10] : (multiplication(v6, v7) = v10 & multiplication(v5, v10) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v8, v7) = v9) | ~ (addition(v5, v6) = v8) | ? [v10] : ? [v11] : (multiplication(v6, v7) = v11 & multiplication(v5, v7) = v10 & addition(v10, v11) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v6, v7) = v8) | ~ (multiplication(v5, v8) = v9) | ? [v10] : (multiplication(v10, v7) = v9 & multiplication(v5, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v5, v8) = v9) | ~ (addition(v6, v7) = v8) | ? [v10] : ? [v11] : (multiplication(v5, v7) = v11 & multiplication(v5, v6) = v10 & addition(v10, v11) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v5, v6) = v8) | ~ (addition(v8, v7) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (star(v6) = v11 & leq(v12, v5) = v13 & leq(v9, v5) = v10 & multiplication(v7, v11) = v12 & ( ~ (v10 = 0) | v13 = 0))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v5, v6) = v8) | ~ (addition(v8, v7) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (star(v5) = v11 & leq(v12, v6) = v13 & leq(v9, v6) = v10 & multiplication(v11, v7) = v12 & ( ~ (v10 = 0) | v13 = 0))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (addition(v8, v5) = v9) | ~ (addition(v7, v6) = v8) | ? [v10] : (addition(v7, v10) = v9 & addition(v6, v5) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (addition(v7, v8) = v9) | ~ (addition(v6, v5) = v8) | ? [v10] : (addition(v10, v5) = v9 & addition(v7, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (leq(v8, v7) = v6) | ~ (leq(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (multiplication(v8, v7) = v6) | ~ (multiplication(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (addition(v8, v7) = v6) | ~ (addition(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ (addition(v5, v6) = v7) | ? [v8] : ( ~ (v8 = 0) & leq(v5, v6) = v8)) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (leq(v5, v6) = v7) | ? [v8] : ( ~ (v8 = v6) & addition(v5, v6) = v8)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (star(v7) = v6) | ~ (star(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (addition(v6, v5) = v7) | addition(v5, v6) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (addition(v5, v6) = v7) | addition(v6, v5) = v7) & ! [v5] : ! [v6] : (v6 = v5 | ~ (multiplication(v5, one) = v6)) & ! [v5] : ! [v6] : (v6 = v5 | ~ (multiplication(one, v5) = v6)) & ! [v5] : ! [v6] : (v6 = v5 | ~ (addition(v5, v5) = v6)) & ! [v5] : ! [v6] : (v6 = v5 | ~ (addition(v5, zero) = v6)) & ! [v5] : ! [v6] : (v6 = zero | ~ (multiplication(v5, zero) = v6)) & ! [v5] : ! [v6] : (v6 = zero | ~ (multiplication(zero, v5) = v6)) & ! [v5] : ! [v6] : ( ~ (star(v5) = v6) | ? [v7] : ? [v8] : (leq(v8, v6) = 0 & multiplication(v6, v5) = v7 & addition(one, v7) = v8)) & ! [v5] : ! [v6] : ( ~ (star(v5) = v6) | ? [v7] : ? [v8] : (leq(v8, v6) = 0 & multiplication(v5, v6) = v7 & addition(one, v7) = v8)) & ! [v5] : ! [v6] : ( ~ (leq(v5, v6) = 0) | addition(v5, v6) = v6) & ! [v5] : ! [v6] : ( ~ (addition(v5, v6) = v6) | leq(v5, v6) = 0) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (star(v6) = v11 & leq(v12, v5) = v13 & leq(v9, v5) = v10 & multiplication(v7, v11) = v12 & multiplication(v5, v6) = v8 & addition(v8, v7) = v9 & ( ~ (v10 = 0) | v13 = 0)) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leq(v5, v6) = v8 & addition(v5, v6) = v7 & ( ~ (v7 = v6) | v8 = 0)) & ( ~ (v4 = 0) | ~ (v3 = 0)))
% 41.23/11.70 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 41.23/11.70 | (1) star(all_0_4_4) = all_0_3_3 & leq(all_0_2_2, all_0_3_3) = all_0_1_1 & leq(all_0_3_3, all_0_2_2) = all_0_0_0 & multiplication(all_0_3_3, all_0_3_3) = all_0_2_2 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v1) = v3) | ~ (leq(v4, v0) = v5) | ~ (multiplication(v2, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v0) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v0) = v3) | ~ (leq(v4, v1) = v5) | ~ (multiplication(v3, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v1) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v1, v2) = v4) | ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ? [v5] : ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ? [v5] : ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (star(v1) = v6 & leq(v7, v0) = v8 & leq(v4, v0) = v5 & multiplication(v2, v6) = v7 & ( ~ (v5 = 0) | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (star(v0) = v6 & leq(v7, v1) = v8 & leq(v4, v1) = v5 & multiplication(v6, v2) = v7 & ( ~ (v5 = 0) | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v1, v0) = v2 & addition(one, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v0, v1) = v2 & addition(one, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (star(v1) = v6 & leq(v7, v0) = v8 & leq(v4, v0) = v5 & multiplication(v2, v6) = v7 & multiplication(v0, v1) = v3 & addition(v3, v2) = v4 & ( ~ (v5 = 0) | v8 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leq(v0, v1) = v3 & addition(v0, v1) = v2 & ( ~ (v2 = v1) | v3 = 0)) & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))
% 41.23/11.71 |
% 41.23/11.71 | Applying alpha-rule on (1) yields:
% 41.23/11.71 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2)
% 41.23/11.71 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2)
% 41.23/11.71 | (4) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1))
% 41.23/11.71 | (5) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leq(v0, v1) = v3 & addition(v0, v1) = v2 & ( ~ (v2 = v1) | v3 = 0))
% 41.23/11.71 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0))
% 41.23/11.71 | (7) ! [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))
% 41.23/11.71 | (8) leq(all_0_3_3, all_0_2_2) = all_0_0_0
% 41.23/11.71 | (9) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1))
% 41.23/11.71 | (10) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (star(v1) = v6 & leq(v7, v0) = v8 & leq(v4, v0) = v5 & multiplication(v2, v6) = v7 & multiplication(v0, v1) = v3 & addition(v3, v2) = v4 & ( ~ (v5 = 0) | v8 = 0))
% 41.23/11.71 | (11) ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0)
% 41.23/11.71 | (12) ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1)
% 41.23/11.71 | (13) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1))
% 41.23/11.71 | (14) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 41.23/11.71 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 41.23/11.71 | (16) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1))
% 41.23/11.71 | (17) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1))
% 41.23/11.71 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5))
% 41.23/11.71 | (19) ! [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))
% 41.23/11.72 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0))
% 41.23/11.72 | (21) ! [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))
% 41.23/11.72 | (22) leq(all_0_2_2, all_0_3_3) = all_0_1_1
% 41.23/11.72 | (23) ! [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))
% 41.23/11.72 | (24) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)
% 41.23/11.72 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4))
% 41.23/11.72 | (26) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1))
% 41.23/11.72 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5))
% 41.23/11.72 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5))
% 41.23/11.72 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (star(v1) = v6 & leq(v7, v0) = v8 & leq(v4, v0) = v5 & multiplication(v2, v6) = v7 & ( ~ (v5 = 0) | v8 = 0)))
% 41.23/11.72 | (30) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v1, v0) = v2 & addition(one, v2) = v3))
% 41.23/11.72 | (31) ! [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))
% 41.23/11.72 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0))
% 41.23/11.72 | (33) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v0, v1) = v2 & addition(one, v2) = v3))
% 41.23/11.72 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (star(v0) = v6 & leq(v7, v1) = v8 & leq(v4, v1) = v5 & multiplication(v6, v2) = v7 & ( ~ (v5 = 0) | v8 = 0)))
% 41.23/11.72 | (35) ! [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))
% 41.23/11.72 | (36) multiplication(all_0_3_3, all_0_3_3) = all_0_2_2
% 41.23/11.72 | (37) star(all_0_4_4) = all_0_3_3
% 41.23/11.72 | (38) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3))
% 41.23/11.72 |
% 41.23/11.72 | Instantiating (10) with all_5_0_9, all_5_1_10, all_5_2_11, all_5_3_12, all_5_4_13, all_5_5_14, all_5_6_15, all_5_7_16, all_5_8_17 yields:
% 41.23/11.72 | (39) star(all_5_7_16) = all_5_2_11 & leq(all_5_1_10, all_5_8_17) = all_5_0_9 & leq(all_5_4_13, all_5_8_17) = all_5_3_12 & multiplication(all_5_6_15, all_5_2_11) = all_5_1_10 & multiplication(all_5_8_17, all_5_7_16) = all_5_5_14 & addition(all_5_5_14, all_5_6_15) = all_5_4_13 & ( ~ (all_5_3_12 = 0) | all_5_0_9 = 0)
% 41.23/11.72 |
% 41.23/11.72 | Applying alpha-rule on (39) yields:
% 41.23/11.72 | (40) star(all_5_7_16) = all_5_2_11
% 41.23/11.72 | (41) leq(all_5_1_10, all_5_8_17) = all_5_0_9
% 41.23/11.72 | (42) leq(all_5_4_13, all_5_8_17) = all_5_3_12
% 41.23/11.72 | (43) multiplication(all_5_8_17, all_5_7_16) = all_5_5_14
% 41.23/11.72 | (44) ~ (all_5_3_12 = 0) | all_5_0_9 = 0
% 41.23/11.72 | (45) addition(all_5_5_14, all_5_6_15) = all_5_4_13
% 41.23/11.72 | (46) multiplication(all_5_6_15, all_5_2_11) = all_5_1_10
% 41.23/11.72 |
% 41.23/11.72 | Instantiating formula (30) with all_5_2_11, all_5_7_16 and discharging atoms star(all_5_7_16) = all_5_2_11, yields:
% 41.23/11.72 | (47) ? [v0] : ? [v1] : (leq(v1, all_5_2_11) = 0 & multiplication(all_5_2_11, all_5_7_16) = v0 & addition(one, v0) = v1)
% 41.23/11.72 |
% 41.23/11.72 | Instantiating formula (33) with all_5_2_11, all_5_7_16 and discharging atoms star(all_5_7_16) = all_5_2_11, yields:
% 41.23/11.72 | (48) ? [v0] : ? [v1] : (leq(v1, all_5_2_11) = 0 & multiplication(all_5_7_16, all_5_2_11) = v0 & addition(one, v0) = v1)
% 41.23/11.72 |
% 41.23/11.72 | Instantiating formula (30) with all_0_3_3, all_0_4_4 and discharging atoms star(all_0_4_4) = all_0_3_3, yields:
% 41.23/11.72 | (49) ? [v0] : ? [v1] : (leq(v1, all_0_3_3) = 0 & multiplication(all_0_3_3, all_0_4_4) = v0 & addition(one, v0) = v1)
% 41.23/11.72 |
% 41.23/11.72 | Instantiating formula (33) with all_0_3_3, all_0_4_4 and discharging atoms star(all_0_4_4) = all_0_3_3, yields:
% 41.23/11.72 | (50) ? [v0] : ? [v1] : (leq(v1, all_0_3_3) = 0 & multiplication(all_0_4_4, all_0_3_3) = v0 & addition(one, v0) = v1)
% 41.23/11.72 |
% 41.23/11.72 | Instantiating formula (38) with all_0_1_1, all_0_3_3, all_0_2_2 and discharging atoms leq(all_0_2_2, all_0_3_3) = all_0_1_1, yields:
% 41.23/11.72 | (51) all_0_1_1 = 0 | ? [v0] : ( ~ (v0 = all_0_3_3) & addition(all_0_2_2, all_0_3_3) = v0)
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (38) with all_0_0_0, all_0_2_2, all_0_3_3 and discharging atoms leq(all_0_3_3, all_0_2_2) = all_0_0_0, yields:
% 41.23/11.73 | (52) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = all_0_2_2) & addition(all_0_3_3, all_0_2_2) = v0)
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (19) with all_0_1_1, all_0_2_2, all_0_3_3, all_0_3_3, all_0_4_4, all_0_3_3 and discharging atoms star(all_0_4_4) = all_0_3_3, leq(all_0_2_2, all_0_3_3) = all_0_1_1, multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, yields:
% 41.23/11.73 | (53) all_0_1_1 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_0_3_3) = v2 & multiplication(all_0_3_3, all_0_4_4) = v0 & addition(v0, all_0_3_3) = v1)
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (29) with all_5_4_13, all_5_5_14, all_5_6_15, all_5_7_16, all_5_8_17 and discharging atoms multiplication(all_5_8_17, all_5_7_16) = all_5_5_14, addition(all_5_5_14, all_5_6_15) = all_5_4_13, yields:
% 41.23/11.73 | (54) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_5_7_16) = v1 & leq(v2, all_5_8_17) = v3 & leq(all_5_4_13, all_5_8_17) = v0 & multiplication(all_5_6_15, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.23/11.73 |
% 41.23/11.73 | Instantiating (50) with all_13_0_18, all_13_1_19 yields:
% 41.23/11.73 | (55) leq(all_13_0_18, all_0_3_3) = 0 & multiplication(all_0_4_4, all_0_3_3) = all_13_1_19 & addition(one, all_13_1_19) = all_13_0_18
% 41.23/11.73 |
% 41.23/11.73 | Applying alpha-rule on (55) yields:
% 41.23/11.73 | (56) leq(all_13_0_18, all_0_3_3) = 0
% 41.23/11.73 | (57) multiplication(all_0_4_4, all_0_3_3) = all_13_1_19
% 41.23/11.73 | (58) addition(one, all_13_1_19) = all_13_0_18
% 41.23/11.73 |
% 41.23/11.73 | Instantiating (48) with all_15_0_20, all_15_1_21 yields:
% 41.23/11.73 | (59) leq(all_15_0_20, all_5_2_11) = 0 & multiplication(all_5_7_16, all_5_2_11) = all_15_1_21 & addition(one, all_15_1_21) = all_15_0_20
% 41.23/11.73 |
% 41.23/11.73 | Applying alpha-rule on (59) yields:
% 41.23/11.73 | (60) leq(all_15_0_20, all_5_2_11) = 0
% 41.23/11.73 | (61) multiplication(all_5_7_16, all_5_2_11) = all_15_1_21
% 41.23/11.73 | (62) addition(one, all_15_1_21) = all_15_0_20
% 41.23/11.73 |
% 41.23/11.73 | Instantiating (49) with all_17_0_22, all_17_1_23 yields:
% 41.23/11.73 | (63) leq(all_17_0_22, all_0_3_3) = 0 & multiplication(all_0_3_3, all_0_4_4) = all_17_1_23 & addition(one, all_17_1_23) = all_17_0_22
% 41.23/11.73 |
% 41.23/11.73 | Applying alpha-rule on (63) yields:
% 41.23/11.73 | (64) leq(all_17_0_22, all_0_3_3) = 0
% 41.23/11.73 | (65) multiplication(all_0_3_3, all_0_4_4) = all_17_1_23
% 41.23/11.73 | (66) addition(one, all_17_1_23) = all_17_0_22
% 41.23/11.73 |
% 41.23/11.73 | Instantiating (54) with all_21_0_28, all_21_1_29, all_21_2_30, all_21_3_31 yields:
% 41.23/11.73 | (67) star(all_5_7_16) = all_21_2_30 & leq(all_21_1_29, all_5_8_17) = all_21_0_28 & leq(all_5_4_13, all_5_8_17) = all_21_3_31 & multiplication(all_5_6_15, all_21_2_30) = all_21_1_29 & ( ~ (all_21_3_31 = 0) | all_21_0_28 = 0)
% 41.23/11.73 |
% 41.23/11.73 | Applying alpha-rule on (67) yields:
% 41.23/11.73 | (68) star(all_5_7_16) = all_21_2_30
% 41.23/11.73 | (69) multiplication(all_5_6_15, all_21_2_30) = all_21_1_29
% 41.23/11.73 | (70) ~ (all_21_3_31 = 0) | all_21_0_28 = 0
% 41.23/11.73 | (71) leq(all_21_1_29, all_5_8_17) = all_21_0_28
% 41.23/11.73 | (72) leq(all_5_4_13, all_5_8_17) = all_21_3_31
% 41.23/11.73 |
% 41.23/11.73 | Instantiating (47) with all_23_0_32, all_23_1_33 yields:
% 41.23/11.73 | (73) leq(all_23_0_32, all_5_2_11) = 0 & multiplication(all_5_2_11, all_5_7_16) = all_23_1_33 & addition(one, all_23_1_33) = all_23_0_32
% 41.23/11.73 |
% 41.23/11.73 | Applying alpha-rule on (73) yields:
% 41.23/11.73 | (74) leq(all_23_0_32, all_5_2_11) = 0
% 41.23/11.73 | (75) multiplication(all_5_2_11, all_5_7_16) = all_23_1_33
% 41.23/11.73 | (76) addition(one, all_23_1_33) = all_23_0_32
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (20) with all_5_7_16, all_21_2_30, all_5_2_11 and discharging atoms star(all_5_7_16) = all_21_2_30, star(all_5_7_16) = all_5_2_11, yields:
% 41.23/11.73 | (77) all_21_2_30 = all_5_2_11
% 41.23/11.73 |
% 41.23/11.73 | From (77) and (68) follows:
% 41.23/11.73 | (40) star(all_5_7_16) = all_5_2_11
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (12) with all_5_2_11, all_23_0_32 and discharging atoms leq(all_23_0_32, all_5_2_11) = 0, yields:
% 41.23/11.73 | (79) addition(all_23_0_32, all_5_2_11) = all_5_2_11
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (12) with all_0_3_3, all_17_0_22 and discharging atoms leq(all_17_0_22, all_0_3_3) = 0, yields:
% 41.23/11.73 | (80) addition(all_17_0_22, all_0_3_3) = all_0_3_3
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (12) with all_5_2_11, all_15_0_20 and discharging atoms leq(all_15_0_20, all_5_2_11) = 0, yields:
% 41.23/11.73 | (81) addition(all_15_0_20, all_5_2_11) = all_5_2_11
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (12) with all_0_3_3, all_13_0_18 and discharging atoms leq(all_13_0_18, all_0_3_3) = 0, yields:
% 41.23/11.73 | (82) addition(all_13_0_18, all_0_3_3) = all_0_3_3
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (3) with all_23_0_32, one, all_23_1_33 and discharging atoms addition(one, all_23_1_33) = all_23_0_32, yields:
% 41.23/11.73 | (83) addition(all_23_1_33, one) = all_23_0_32
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (3) with all_17_0_22, one, all_17_1_23 and discharging atoms addition(one, all_17_1_23) = all_17_0_22, yields:
% 41.23/11.73 | (84) addition(all_17_1_23, one) = all_17_0_22
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (3) with all_15_0_20, one, all_15_1_21 and discharging atoms addition(one, all_15_1_21) = all_15_0_20, yields:
% 41.23/11.73 | (85) addition(all_15_1_21, one) = all_15_0_20
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (3) with all_13_0_18, one, all_13_1_19 and discharging atoms addition(one, all_13_1_19) = all_13_0_18, yields:
% 41.23/11.73 | (86) addition(all_13_1_19, one) = all_13_0_18
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (27) with all_5_2_11, all_23_0_32, one, all_23_1_33, all_5_2_11 and discharging atoms addition(all_23_0_32, all_5_2_11) = all_5_2_11, addition(one, all_23_1_33) = all_23_0_32, yields:
% 41.23/11.73 | (87) ? [v0] : (addition(all_23_1_33, all_5_2_11) = v0 & addition(one, v0) = all_5_2_11)
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (29) with all_23_0_32, all_23_1_33, one, all_5_7_16, all_5_2_11 and discharging atoms multiplication(all_5_2_11, all_5_7_16) = all_23_1_33, addition(all_23_1_33, one) = all_23_0_32, yields:
% 41.23/11.73 | (88) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_5_7_16) = v1 & leq(v2, all_5_2_11) = v3 & leq(all_23_0_32, all_5_2_11) = v0 & multiplication(one, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.23/11.73 |
% 41.23/11.73 | Instantiating formula (34) with all_23_0_32, all_23_1_33, one, all_5_7_16, all_5_2_11 and discharging atoms multiplication(all_5_2_11, all_5_7_16) = all_23_1_33, addition(all_23_1_33, one) = all_23_0_32, yields:
% 41.23/11.73 | (89) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_5_2_11) = v1 & leq(v2, all_5_7_16) = v3 & leq(all_23_0_32, all_5_7_16) = v0 & multiplication(v1, one) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (27) with all_5_2_11, all_23_0_32, all_23_1_33, one, all_5_2_11 and discharging atoms addition(all_23_0_32, all_5_2_11) = all_5_2_11, addition(all_23_1_33, one) = all_23_0_32, yields:
% 41.23/11.74 | (90) ? [v0] : (addition(all_23_1_33, v0) = all_5_2_11 & addition(one, all_5_2_11) = v0)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (7) with all_0_2_2, all_0_3_3, all_0_3_3, all_0_3_3, all_17_0_22 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_17_0_22, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (91) ? [v0] : ? [v1] : (multiplication(all_17_0_22, all_0_3_3) = v0 & multiplication(all_0_3_3, all_0_3_3) = v1 & addition(v0, v1) = all_0_2_2)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_0_3_3, all_17_0_22, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_17_0_22, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (92) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_17_0_22) = v0 & multiplication(all_0_3_3, all_0_3_3) = v1 & addition(v0, v1) = all_0_2_2)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (7) with all_17_1_23, all_0_3_3, all_0_4_4, all_0_3_3, all_17_0_22 and discharging atoms multiplication(all_0_3_3, all_0_4_4) = all_17_1_23, addition(all_17_0_22, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (93) ? [v0] : ? [v1] : (multiplication(all_17_0_22, all_0_4_4) = v0 & multiplication(all_0_3_3, all_0_4_4) = v1 & addition(v0, v1) = all_17_1_23)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (23) with all_13_1_19, all_0_3_3, all_0_3_3, all_17_0_22, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_3_3) = all_13_1_19, addition(all_17_0_22, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (94) ? [v0] : ? [v1] : (multiplication(all_0_4_4, all_17_0_22) = v0 & multiplication(all_0_4_4, all_0_3_3) = v1 & addition(v0, v1) = all_13_1_19)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (27) with all_0_3_3, all_17_0_22, one, all_17_1_23, all_0_3_3 and discharging atoms addition(all_17_0_22, all_0_3_3) = all_0_3_3, addition(one, all_17_1_23) = all_17_0_22, yields:
% 41.23/11.74 | (95) ? [v0] : (addition(all_17_1_23, all_0_3_3) = v0 & addition(one, v0) = all_0_3_3)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (18) with all_0_3_3, all_0_3_3, all_17_0_22, all_17_0_22, all_0_3_3 and discharging atoms addition(all_17_0_22, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (96) ? [v0] : (addition(v0, all_0_3_3) = all_0_3_3 & addition(all_17_0_22, all_17_0_22) = v0)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (3) with all_0_3_3, all_17_0_22, all_0_3_3 and discharging atoms addition(all_17_0_22, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (97) addition(all_0_3_3, all_17_0_22) = all_0_3_3
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (29) with all_17_0_22, all_17_1_23, one, all_0_4_4, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_4_4) = all_17_1_23, addition(all_17_1_23, one) = all_17_0_22, yields:
% 41.23/11.74 | (98) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_17_0_22, all_0_3_3) = v0 & multiplication(one, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (34) with all_17_0_22, all_17_1_23, one, all_0_4_4, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_4_4) = all_17_1_23, addition(all_17_1_23, one) = all_17_0_22, yields:
% 41.23/11.74 | (99) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_3_3) = v1 & leq(v2, all_0_4_4) = v3 & leq(all_17_0_22, all_0_4_4) = v0 & multiplication(v1, one) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (27) with all_0_3_3, all_17_0_22, all_17_1_23, one, all_0_3_3 and discharging atoms addition(all_17_0_22, all_0_3_3) = all_0_3_3, addition(all_17_1_23, one) = all_17_0_22, yields:
% 41.23/11.74 | (100) ? [v0] : (addition(all_17_1_23, v0) = all_0_3_3 & addition(one, all_0_3_3) = v0)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (27) with all_5_2_11, all_15_0_20, one, all_15_1_21, all_5_2_11 and discharging atoms addition(all_15_0_20, all_5_2_11) = all_5_2_11, addition(one, all_15_1_21) = all_15_0_20, yields:
% 41.23/11.74 | (101) ? [v0] : (addition(all_15_1_21, all_5_2_11) = v0 & addition(one, v0) = all_5_2_11)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (29) with all_15_0_20, all_15_1_21, one, all_5_2_11, all_5_7_16 and discharging atoms multiplication(all_5_7_16, all_5_2_11) = all_15_1_21, addition(all_15_1_21, one) = all_15_0_20, yields:
% 41.23/11.74 | (102) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_5_2_11) = v1 & leq(v2, all_5_7_16) = v3 & leq(all_15_0_20, all_5_7_16) = v0 & multiplication(one, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (34) with all_15_0_20, all_15_1_21, one, all_5_2_11, all_5_7_16 and discharging atoms multiplication(all_5_7_16, all_5_2_11) = all_15_1_21, addition(all_15_1_21, one) = all_15_0_20, yields:
% 41.23/11.74 | (103) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_5_7_16) = v1 & leq(v2, all_5_2_11) = v3 & leq(all_15_0_20, all_5_2_11) = v0 & multiplication(v1, one) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (27) with all_5_2_11, all_15_0_20, all_15_1_21, one, all_5_2_11 and discharging atoms addition(all_15_0_20, all_5_2_11) = all_5_2_11, addition(all_15_1_21, one) = all_15_0_20, yields:
% 41.23/11.74 | (104) ? [v0] : (addition(all_15_1_21, v0) = all_5_2_11 & addition(one, all_5_2_11) = v0)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (7) with all_0_2_2, all_0_3_3, all_0_3_3, all_0_3_3, all_13_0_18 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_13_0_18, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (105) ? [v0] : ? [v1] : (multiplication(all_13_0_18, all_0_3_3) = v0 & multiplication(all_0_3_3, all_0_3_3) = v1 & addition(v0, v1) = all_0_2_2)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_0_3_3, all_13_0_18, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_13_0_18, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (106) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_13_0_18) = v0 & multiplication(all_0_3_3, all_0_3_3) = v1 & addition(v0, v1) = all_0_2_2)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (7) with all_17_1_23, all_0_3_3, all_0_4_4, all_0_3_3, all_13_0_18 and discharging atoms multiplication(all_0_3_3, all_0_4_4) = all_17_1_23, addition(all_13_0_18, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (107) ? [v0] : ? [v1] : (multiplication(all_13_0_18, all_0_4_4) = v0 & multiplication(all_0_3_3, all_0_4_4) = v1 & addition(v0, v1) = all_17_1_23)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (23) with all_13_1_19, all_0_3_3, all_0_3_3, all_13_0_18, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_3_3) = all_13_1_19, addition(all_13_0_18, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (108) ? [v0] : ? [v1] : (multiplication(all_0_4_4, all_13_0_18) = v0 & multiplication(all_0_4_4, all_0_3_3) = v1 & addition(v0, v1) = all_13_1_19)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (27) with all_0_3_3, all_13_0_18, one, all_13_1_19, all_0_3_3 and discharging atoms addition(all_13_0_18, all_0_3_3) = all_0_3_3, addition(one, all_13_1_19) = all_13_0_18, yields:
% 41.23/11.74 | (109) ? [v0] : (addition(all_13_1_19, all_0_3_3) = v0 & addition(one, v0) = all_0_3_3)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (18) with all_0_3_3, all_0_3_3, all_13_0_18, all_17_0_22, all_0_3_3 and discharging atoms addition(all_17_0_22, all_0_3_3) = all_0_3_3, addition(all_13_0_18, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (110) ? [v0] : (addition(v0, all_0_3_3) = all_0_3_3 & addition(all_13_0_18, all_17_0_22) = v0)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (18) with all_0_3_3, all_0_3_3, all_17_0_22, all_13_0_18, all_0_3_3 and discharging atoms addition(all_17_0_22, all_0_3_3) = all_0_3_3, addition(all_13_0_18, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (111) ? [v0] : (addition(v0, all_0_3_3) = all_0_3_3 & addition(all_17_0_22, all_13_0_18) = v0)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (18) with all_0_3_3, all_0_3_3, all_13_0_18, all_13_0_18, all_0_3_3 and discharging atoms addition(all_13_0_18, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (112) ? [v0] : (addition(v0, all_0_3_3) = all_0_3_3 & addition(all_13_0_18, all_13_0_18) = v0)
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (3) with all_0_3_3, all_13_0_18, all_0_3_3 and discharging atoms addition(all_13_0_18, all_0_3_3) = all_0_3_3, yields:
% 41.23/11.74 | (113) addition(all_0_3_3, all_13_0_18) = all_0_3_3
% 41.23/11.74 |
% 41.23/11.74 | Instantiating formula (29) with all_13_0_18, all_13_1_19, one, all_0_3_3, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_3_3) = all_13_1_19, addition(all_13_1_19, one) = all_13_0_18, yields:
% 41.23/11.75 | (114) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_3_3) = v1 & leq(v2, all_0_4_4) = v3 & leq(all_13_0_18, all_0_4_4) = v0 & multiplication(one, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.23/11.75 |
% 41.23/11.75 | Instantiating formula (34) with all_13_0_18, all_13_1_19, one, all_0_3_3, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_3_3) = all_13_1_19, addition(all_13_1_19, one) = all_13_0_18, yields:
% 41.23/11.75 | (115) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_13_0_18, all_0_3_3) = v0 & multiplication(v1, one) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.23/11.75 |
% 41.23/11.75 | Instantiating formula (27) with all_0_3_3, all_13_0_18, all_13_1_19, one, all_0_3_3 and discharging atoms addition(all_13_0_18, all_0_3_3) = all_0_3_3, addition(all_13_1_19, one) = all_13_0_18, yields:
% 41.23/11.75 | (116) ? [v0] : (addition(all_13_1_19, v0) = all_0_3_3 & addition(one, all_0_3_3) = v0)
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (102) with all_53_0_38, all_53_1_39, all_53_2_40, all_53_3_41 yields:
% 41.23/11.75 | (117) star(all_5_2_11) = all_53_2_40 & leq(all_53_1_39, all_5_7_16) = all_53_0_38 & leq(all_15_0_20, all_5_7_16) = all_53_3_41 & multiplication(one, all_53_2_40) = all_53_1_39 & ( ~ (all_53_3_41 = 0) | all_53_0_38 = 0)
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (117) yields:
% 41.23/11.75 | (118) star(all_5_2_11) = all_53_2_40
% 41.23/11.75 | (119) multiplication(one, all_53_2_40) = all_53_1_39
% 41.23/11.75 | (120) ~ (all_53_3_41 = 0) | all_53_0_38 = 0
% 41.23/11.75 | (121) leq(all_53_1_39, all_5_7_16) = all_53_0_38
% 41.23/11.75 | (122) leq(all_15_0_20, all_5_7_16) = all_53_3_41
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (94) with all_57_0_44, all_57_1_45 yields:
% 41.23/11.75 | (123) multiplication(all_0_4_4, all_17_0_22) = all_57_1_45 & multiplication(all_0_4_4, all_0_3_3) = all_57_0_44 & addition(all_57_1_45, all_57_0_44) = all_13_1_19
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (123) yields:
% 41.23/11.75 | (124) multiplication(all_0_4_4, all_17_0_22) = all_57_1_45
% 41.23/11.75 | (125) multiplication(all_0_4_4, all_0_3_3) = all_57_0_44
% 41.23/11.75 | (126) addition(all_57_1_45, all_57_0_44) = all_13_1_19
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (93) with all_59_0_46, all_59_1_47 yields:
% 41.23/11.75 | (127) multiplication(all_17_0_22, all_0_4_4) = all_59_1_47 & multiplication(all_0_3_3, all_0_4_4) = all_59_0_46 & addition(all_59_1_47, all_59_0_46) = all_17_1_23
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (127) yields:
% 41.23/11.75 | (128) multiplication(all_17_0_22, all_0_4_4) = all_59_1_47
% 41.23/11.75 | (129) multiplication(all_0_3_3, all_0_4_4) = all_59_0_46
% 41.23/11.75 | (130) addition(all_59_1_47, all_59_0_46) = all_17_1_23
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (111) with all_61_0_48 yields:
% 41.23/11.75 | (131) addition(all_61_0_48, all_0_3_3) = all_0_3_3 & addition(all_17_0_22, all_13_0_18) = all_61_0_48
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (131) yields:
% 41.23/11.75 | (132) addition(all_61_0_48, all_0_3_3) = all_0_3_3
% 41.23/11.75 | (133) addition(all_17_0_22, all_13_0_18) = all_61_0_48
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (109) with all_63_0_49 yields:
% 41.23/11.75 | (134) addition(all_13_1_19, all_0_3_3) = all_63_0_49 & addition(one, all_63_0_49) = all_0_3_3
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (134) yields:
% 41.23/11.75 | (135) addition(all_13_1_19, all_0_3_3) = all_63_0_49
% 41.23/11.75 | (136) addition(one, all_63_0_49) = all_0_3_3
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (108) with all_65_0_50, all_65_1_51 yields:
% 41.23/11.75 | (137) multiplication(all_0_4_4, all_13_0_18) = all_65_1_51 & multiplication(all_0_4_4, all_0_3_3) = all_65_0_50 & addition(all_65_1_51, all_65_0_50) = all_13_1_19
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (137) yields:
% 41.23/11.75 | (138) multiplication(all_0_4_4, all_13_0_18) = all_65_1_51
% 41.23/11.75 | (139) multiplication(all_0_4_4, all_0_3_3) = all_65_0_50
% 41.23/11.75 | (140) addition(all_65_1_51, all_65_0_50) = all_13_1_19
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (105) with all_67_0_52, all_67_1_53 yields:
% 41.23/11.75 | (141) multiplication(all_13_0_18, all_0_3_3) = all_67_1_53 & multiplication(all_0_3_3, all_0_3_3) = all_67_0_52 & addition(all_67_1_53, all_67_0_52) = all_0_2_2
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (141) yields:
% 41.23/11.75 | (142) multiplication(all_13_0_18, all_0_3_3) = all_67_1_53
% 41.23/11.75 | (143) multiplication(all_0_3_3, all_0_3_3) = all_67_0_52
% 41.23/11.75 | (144) addition(all_67_1_53, all_67_0_52) = all_0_2_2
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (104) with all_69_0_54 yields:
% 41.23/11.75 | (145) addition(all_15_1_21, all_69_0_54) = all_5_2_11 & addition(one, all_5_2_11) = all_69_0_54
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (145) yields:
% 41.23/11.75 | (146) addition(all_15_1_21, all_69_0_54) = all_5_2_11
% 41.23/11.75 | (147) addition(one, all_5_2_11) = all_69_0_54
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (110) with all_71_0_55 yields:
% 41.23/11.75 | (148) addition(all_71_0_55, all_0_3_3) = all_0_3_3 & addition(all_13_0_18, all_17_0_22) = all_71_0_55
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (148) yields:
% 41.23/11.75 | (149) addition(all_71_0_55, all_0_3_3) = all_0_3_3
% 41.23/11.75 | (150) addition(all_13_0_18, all_17_0_22) = all_71_0_55
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (103) with all_73_0_56, all_73_1_57, all_73_2_58, all_73_3_59 yields:
% 41.23/11.75 | (151) star(all_5_7_16) = all_73_2_58 & leq(all_73_1_57, all_5_2_11) = all_73_0_56 & leq(all_15_0_20, all_5_2_11) = all_73_3_59 & multiplication(all_73_2_58, one) = all_73_1_57 & ( ~ (all_73_3_59 = 0) | all_73_0_56 = 0)
% 41.23/11.75 |
% 41.23/11.75 | Applying alpha-rule on (151) yields:
% 41.23/11.75 | (152) multiplication(all_73_2_58, one) = all_73_1_57
% 41.23/11.75 | (153) leq(all_15_0_20, all_5_2_11) = all_73_3_59
% 41.23/11.75 | (154) leq(all_73_1_57, all_5_2_11) = all_73_0_56
% 41.23/11.75 | (155) star(all_5_7_16) = all_73_2_58
% 41.23/11.75 | (156) ~ (all_73_3_59 = 0) | all_73_0_56 = 0
% 41.23/11.75 |
% 41.23/11.75 | Instantiating (116) with all_75_0_60 yields:
% 41.23/11.75 | (157) addition(all_13_1_19, all_75_0_60) = all_0_3_3 & addition(one, all_0_3_3) = all_75_0_60
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (157) yields:
% 41.23/11.76 | (158) addition(all_13_1_19, all_75_0_60) = all_0_3_3
% 41.23/11.76 | (159) addition(one, all_0_3_3) = all_75_0_60
% 41.23/11.76 |
% 41.23/11.76 | Instantiating (112) with all_77_0_61 yields:
% 41.23/11.76 | (160) addition(all_77_0_61, all_0_3_3) = all_0_3_3 & addition(all_13_0_18, all_13_0_18) = all_77_0_61
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (160) yields:
% 41.23/11.76 | (161) addition(all_77_0_61, all_0_3_3) = all_0_3_3
% 41.23/11.76 | (162) addition(all_13_0_18, all_13_0_18) = all_77_0_61
% 41.23/11.76 |
% 41.23/11.76 | Instantiating (115) with all_79_0_62, all_79_1_63, all_79_2_64, all_79_3_65 yields:
% 41.23/11.76 | (163) star(all_0_4_4) = all_79_2_64 & leq(all_79_1_63, all_0_3_3) = all_79_0_62 & leq(all_13_0_18, all_0_3_3) = all_79_3_65 & multiplication(all_79_2_64, one) = all_79_1_63 & ( ~ (all_79_3_65 = 0) | all_79_0_62 = 0)
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (163) yields:
% 41.23/11.76 | (164) star(all_0_4_4) = all_79_2_64
% 41.23/11.76 | (165) leq(all_79_1_63, all_0_3_3) = all_79_0_62
% 41.23/11.76 | (166) multiplication(all_79_2_64, one) = all_79_1_63
% 41.23/11.76 | (167) leq(all_13_0_18, all_0_3_3) = all_79_3_65
% 41.23/11.76 | (168) ~ (all_79_3_65 = 0) | all_79_0_62 = 0
% 41.23/11.76 |
% 41.23/11.76 | Instantiating (114) with all_81_0_66, all_81_1_67, all_81_2_68, all_81_3_69 yields:
% 41.23/11.76 | (169) star(all_0_3_3) = all_81_2_68 & leq(all_81_1_67, all_0_4_4) = all_81_0_66 & leq(all_13_0_18, all_0_4_4) = all_81_3_69 & multiplication(one, all_81_2_68) = all_81_1_67 & ( ~ (all_81_3_69 = 0) | all_81_0_66 = 0)
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (169) yields:
% 41.23/11.76 | (170) multiplication(one, all_81_2_68) = all_81_1_67
% 41.23/11.76 | (171) leq(all_13_0_18, all_0_4_4) = all_81_3_69
% 41.23/11.76 | (172) ~ (all_81_3_69 = 0) | all_81_0_66 = 0
% 41.23/11.76 | (173) leq(all_81_1_67, all_0_4_4) = all_81_0_66
% 41.23/11.76 | (174) star(all_0_3_3) = all_81_2_68
% 41.23/11.76 |
% 41.23/11.76 | Instantiating (107) with all_83_0_70, all_83_1_71 yields:
% 41.23/11.76 | (175) multiplication(all_13_0_18, all_0_4_4) = all_83_1_71 & multiplication(all_0_3_3, all_0_4_4) = all_83_0_70 & addition(all_83_1_71, all_83_0_70) = all_17_1_23
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (175) yields:
% 41.23/11.76 | (176) multiplication(all_13_0_18, all_0_4_4) = all_83_1_71
% 41.23/11.76 | (177) multiplication(all_0_3_3, all_0_4_4) = all_83_0_70
% 41.23/11.76 | (178) addition(all_83_1_71, all_83_0_70) = all_17_1_23
% 41.23/11.76 |
% 41.23/11.76 | Instantiating (90) with all_85_0_72 yields:
% 41.23/11.76 | (179) addition(all_23_1_33, all_85_0_72) = all_5_2_11 & addition(one, all_5_2_11) = all_85_0_72
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (179) yields:
% 41.23/11.76 | (180) addition(all_23_1_33, all_85_0_72) = all_5_2_11
% 41.23/11.76 | (181) addition(one, all_5_2_11) = all_85_0_72
% 41.23/11.76 |
% 41.23/11.76 | Instantiating (92) with all_87_0_73, all_87_1_74 yields:
% 41.23/11.76 | (182) multiplication(all_0_3_3, all_17_0_22) = all_87_1_74 & multiplication(all_0_3_3, all_0_3_3) = all_87_0_73 & addition(all_87_1_74, all_87_0_73) = all_0_2_2
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (182) yields:
% 41.23/11.76 | (183) multiplication(all_0_3_3, all_17_0_22) = all_87_1_74
% 41.23/11.76 | (184) multiplication(all_0_3_3, all_0_3_3) = all_87_0_73
% 41.23/11.76 | (185) addition(all_87_1_74, all_87_0_73) = all_0_2_2
% 41.23/11.76 |
% 41.23/11.76 | Instantiating (87) with all_89_0_75 yields:
% 41.23/11.76 | (186) addition(all_23_1_33, all_5_2_11) = all_89_0_75 & addition(one, all_89_0_75) = all_5_2_11
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (186) yields:
% 41.23/11.76 | (187) addition(all_23_1_33, all_5_2_11) = all_89_0_75
% 41.23/11.76 | (188) addition(one, all_89_0_75) = all_5_2_11
% 41.23/11.76 |
% 41.23/11.76 | Instantiating (89) with all_93_0_78, all_93_1_79, all_93_2_80, all_93_3_81 yields:
% 41.23/11.76 | (189) star(all_5_2_11) = all_93_2_80 & leq(all_93_1_79, all_5_7_16) = all_93_0_78 & leq(all_23_0_32, all_5_7_16) = all_93_3_81 & multiplication(all_93_2_80, one) = all_93_1_79 & ( ~ (all_93_3_81 = 0) | all_93_0_78 = 0)
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (189) yields:
% 41.23/11.76 | (190) multiplication(all_93_2_80, one) = all_93_1_79
% 41.23/11.76 | (191) leq(all_93_1_79, all_5_7_16) = all_93_0_78
% 41.23/11.76 | (192) star(all_5_2_11) = all_93_2_80
% 41.23/11.76 | (193) ~ (all_93_3_81 = 0) | all_93_0_78 = 0
% 41.23/11.76 | (194) leq(all_23_0_32, all_5_7_16) = all_93_3_81
% 41.23/11.76 |
% 41.23/11.76 | Instantiating (88) with all_95_0_82, all_95_1_83, all_95_2_84, all_95_3_85 yields:
% 41.23/11.76 | (195) star(all_5_7_16) = all_95_2_84 & leq(all_95_1_83, all_5_2_11) = all_95_0_82 & leq(all_23_0_32, all_5_2_11) = all_95_3_85 & multiplication(one, all_95_2_84) = all_95_1_83 & ( ~ (all_95_3_85 = 0) | all_95_0_82 = 0)
% 41.23/11.76 |
% 41.23/11.76 | Applying alpha-rule on (195) yields:
% 41.23/11.76 | (196) leq(all_95_1_83, all_5_2_11) = all_95_0_82
% 41.23/11.76 | (197) multiplication(one, all_95_2_84) = all_95_1_83
% 41.23/11.76 | (198) ~ (all_95_3_85 = 0) | all_95_0_82 = 0
% 41.23/11.77 | (199) star(all_5_7_16) = all_95_2_84
% 41.23/11.77 | (200) leq(all_23_0_32, all_5_2_11) = all_95_3_85
% 41.23/11.77 |
% 41.23/11.77 | Instantiating (106) with all_97_0_86, all_97_1_87 yields:
% 41.23/11.77 | (201) multiplication(all_0_3_3, all_13_0_18) = all_97_1_87 & multiplication(all_0_3_3, all_0_3_3) = all_97_0_86 & addition(all_97_1_87, all_97_0_86) = all_0_2_2
% 41.23/11.77 |
% 41.23/11.77 | Applying alpha-rule on (201) yields:
% 41.23/11.77 | (202) multiplication(all_0_3_3, all_13_0_18) = all_97_1_87
% 41.23/11.77 | (203) multiplication(all_0_3_3, all_0_3_3) = all_97_0_86
% 41.23/11.77 | (204) addition(all_97_1_87, all_97_0_86) = all_0_2_2
% 41.23/11.77 |
% 41.23/11.77 | Instantiating (91) with all_99_0_88, all_99_1_89 yields:
% 41.23/11.77 | (205) multiplication(all_17_0_22, all_0_3_3) = all_99_1_89 & multiplication(all_0_3_3, all_0_3_3) = all_99_0_88 & addition(all_99_1_89, all_99_0_88) = all_0_2_2
% 41.23/11.77 |
% 41.23/11.77 | Applying alpha-rule on (205) yields:
% 41.23/11.77 | (206) multiplication(all_17_0_22, all_0_3_3) = all_99_1_89
% 41.23/11.77 | (207) multiplication(all_0_3_3, all_0_3_3) = all_99_0_88
% 41.23/11.77 | (208) addition(all_99_1_89, all_99_0_88) = all_0_2_2
% 41.23/11.77 |
% 41.23/11.77 | Instantiating (96) with all_111_0_98 yields:
% 41.23/11.77 | (209) addition(all_111_0_98, all_0_3_3) = all_0_3_3 & addition(all_17_0_22, all_17_0_22) = all_111_0_98
% 41.23/11.77 |
% 41.23/11.77 | Applying alpha-rule on (209) yields:
% 41.23/11.77 | (210) addition(all_111_0_98, all_0_3_3) = all_0_3_3
% 41.23/11.77 | (211) addition(all_17_0_22, all_17_0_22) = all_111_0_98
% 41.23/11.77 |
% 41.23/11.77 | Instantiating (95) with all_113_0_99 yields:
% 41.23/11.77 | (212) addition(all_17_1_23, all_0_3_3) = all_113_0_99 & addition(one, all_113_0_99) = all_0_3_3
% 41.23/11.77 |
% 41.23/11.77 | Applying alpha-rule on (212) yields:
% 41.23/11.77 | (213) addition(all_17_1_23, all_0_3_3) = all_113_0_99
% 41.23/11.77 | (214) addition(one, all_113_0_99) = all_0_3_3
% 41.23/11.77 |
% 41.23/11.77 | Instantiating (101) with all_115_0_100 yields:
% 41.23/11.77 | (215) addition(all_15_1_21, all_5_2_11) = all_115_0_100 & addition(one, all_115_0_100) = all_5_2_11
% 41.23/11.77 |
% 41.23/11.77 | Applying alpha-rule on (215) yields:
% 41.23/11.77 | (216) addition(all_15_1_21, all_5_2_11) = all_115_0_100
% 41.23/11.77 | (217) addition(one, all_115_0_100) = all_5_2_11
% 41.23/11.77 |
% 41.23/11.77 | Instantiating (100) with all_123_0_105 yields:
% 41.23/11.77 | (218) addition(all_17_1_23, all_123_0_105) = all_0_3_3 & addition(one, all_0_3_3) = all_123_0_105
% 41.23/11.77 |
% 41.23/11.77 | Applying alpha-rule on (218) yields:
% 41.23/11.77 | (219) addition(all_17_1_23, all_123_0_105) = all_0_3_3
% 41.23/11.77 | (220) addition(one, all_0_3_3) = all_123_0_105
% 41.23/11.77 |
% 41.23/11.77 | Instantiating (99) with all_125_0_106, all_125_1_107, all_125_2_108, all_125_3_109 yields:
% 41.23/11.77 | (221) star(all_0_3_3) = all_125_2_108 & leq(all_125_1_107, all_0_4_4) = all_125_0_106 & leq(all_17_0_22, all_0_4_4) = all_125_3_109 & multiplication(all_125_2_108, one) = all_125_1_107 & ( ~ (all_125_3_109 = 0) | all_125_0_106 = 0)
% 41.23/11.77 |
% 41.23/11.77 | Applying alpha-rule on (221) yields:
% 41.23/11.77 | (222) multiplication(all_125_2_108, one) = all_125_1_107
% 41.23/11.77 | (223) ~ (all_125_3_109 = 0) | all_125_0_106 = 0
% 41.23/11.77 | (224) leq(all_125_1_107, all_0_4_4) = all_125_0_106
% 41.23/11.77 | (225) star(all_0_3_3) = all_125_2_108
% 41.23/11.77 | (226) leq(all_17_0_22, all_0_4_4) = all_125_3_109
% 41.23/11.77 |
% 41.23/11.77 | Instantiating (98) with all_127_0_110, all_127_1_111, all_127_2_112, all_127_3_113 yields:
% 41.23/11.77 | (227) star(all_0_4_4) = all_127_2_112 & leq(all_127_1_111, all_0_3_3) = all_127_0_110 & leq(all_17_0_22, all_0_3_3) = all_127_3_113 & multiplication(one, all_127_2_112) = all_127_1_111 & ( ~ (all_127_3_113 = 0) | all_127_0_110 = 0)
% 41.23/11.77 |
% 41.23/11.77 | Applying alpha-rule on (227) yields:
% 41.23/11.77 | (228) leq(all_17_0_22, all_0_3_3) = all_127_3_113
% 41.23/11.77 | (229) ~ (all_127_3_113 = 0) | all_127_0_110 = 0
% 41.23/11.77 | (230) leq(all_127_1_111, all_0_3_3) = all_127_0_110
% 41.23/11.77 | (231) star(all_0_4_4) = all_127_2_112
% 41.23/11.77 | (232) multiplication(one, all_127_2_112) = all_127_1_111
% 41.23/11.77 |
% 41.23/11.77 | Instantiating formula (20) with all_5_2_11, all_53_2_40, all_93_2_80 and discharging atoms star(all_5_2_11) = all_93_2_80, star(all_5_2_11) = all_53_2_40, yields:
% 41.23/11.77 | (233) all_93_2_80 = all_53_2_40
% 41.23/11.77 |
% 41.23/11.77 | Instantiating formula (20) with all_5_7_16, all_95_2_84, all_5_2_11 and discharging atoms star(all_5_7_16) = all_95_2_84, star(all_5_7_16) = all_5_2_11, yields:
% 41.23/11.77 | (234) all_95_2_84 = all_5_2_11
% 41.23/11.77 |
% 41.23/11.77 | Instantiating formula (20) with all_5_7_16, all_73_2_58, all_95_2_84 and discharging atoms star(all_5_7_16) = all_95_2_84, star(all_5_7_16) = all_73_2_58, yields:
% 41.23/11.77 | (235) all_95_2_84 = all_73_2_58
% 41.23/11.77 |
% 41.23/11.77 | Instantiating formula (20) with all_0_3_3, all_81_2_68, all_125_2_108 and discharging atoms star(all_0_3_3) = all_125_2_108, star(all_0_3_3) = all_81_2_68, yields:
% 41.64/11.77 | (236) all_125_2_108 = all_81_2_68
% 41.64/11.77 |
% 41.64/11.77 | Instantiating formula (20) with all_0_4_4, all_127_2_112, all_0_3_3 and discharging atoms star(all_0_4_4) = all_127_2_112, star(all_0_4_4) = all_0_3_3, yields:
% 41.64/11.77 | (237) all_127_2_112 = all_0_3_3
% 41.64/11.77 |
% 41.64/11.77 | Instantiating formula (20) with all_0_4_4, all_79_2_64, all_127_2_112 and discharging atoms star(all_0_4_4) = all_127_2_112, star(all_0_4_4) = all_79_2_64, yields:
% 41.64/11.77 | (238) all_127_2_112 = all_79_2_64
% 41.64/11.77 |
% 41.64/11.77 | Instantiating formula (15) with all_13_0_18, all_0_3_3, all_79_3_65, 0 and discharging atoms leq(all_13_0_18, all_0_3_3) = all_79_3_65, leq(all_13_0_18, all_0_3_3) = 0, yields:
% 41.64/11.77 | (239) all_79_3_65 = 0
% 41.64/11.77 |
% 41.64/11.77 | Instantiating formula (16) with all_125_1_107, all_125_2_108 and discharging atoms multiplication(all_125_2_108, one) = all_125_1_107, yields:
% 41.64/11.77 | (240) all_125_1_107 = all_125_2_108
% 41.64/11.77 |
% 41.64/11.77 | Instantiating formula (16) with all_93_1_79, all_93_2_80 and discharging atoms multiplication(all_93_2_80, one) = all_93_1_79, yields:
% 41.64/11.77 | (241) all_93_1_79 = all_93_2_80
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (16) with all_79_1_63, all_79_2_64 and discharging atoms multiplication(all_79_2_64, one) = all_79_1_63, yields:
% 41.64/11.78 | (242) all_79_1_63 = all_79_2_64
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (16) with all_73_1_57, all_73_2_58 and discharging atoms multiplication(all_73_2_58, one) = all_73_1_57, yields:
% 41.64/11.78 | (243) all_73_1_57 = all_73_2_58
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_97_0_86, all_99_0_88 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_99_0_88, multiplication(all_0_3_3, all_0_3_3) = all_97_0_86, yields:
% 41.64/11.78 | (244) all_99_0_88 = all_97_0_86
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_87_0_73, all_0_2_2 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_87_0_73, multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, yields:
% 41.64/11.78 | (245) all_87_0_73 = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_87_0_73, all_97_0_86 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_97_0_86, multiplication(all_0_3_3, all_0_3_3) = all_87_0_73, yields:
% 41.64/11.78 | (246) all_97_0_86 = all_87_0_73
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_67_0_52, all_99_0_88 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_99_0_88, multiplication(all_0_3_3, all_0_3_3) = all_67_0_52, yields:
% 41.64/11.78 | (247) all_99_0_88 = all_67_0_52
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (32) with all_0_3_3, all_0_4_4, all_83_0_70, all_17_1_23 and discharging atoms multiplication(all_0_3_3, all_0_4_4) = all_83_0_70, multiplication(all_0_3_3, all_0_4_4) = all_17_1_23, yields:
% 41.64/11.78 | (248) all_83_0_70 = all_17_1_23
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (32) with all_0_3_3, all_0_4_4, all_59_0_46, all_83_0_70 and discharging atoms multiplication(all_0_3_3, all_0_4_4) = all_83_0_70, multiplication(all_0_3_3, all_0_4_4) = all_59_0_46, yields:
% 41.64/11.78 | (249) all_83_0_70 = all_59_0_46
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (32) with all_0_4_4, all_0_3_3, all_65_0_50, all_13_1_19 and discharging atoms multiplication(all_0_4_4, all_0_3_3) = all_65_0_50, multiplication(all_0_4_4, all_0_3_3) = all_13_1_19, yields:
% 41.64/11.78 | (250) all_65_0_50 = all_13_1_19
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (32) with all_0_4_4, all_0_3_3, all_57_0_44, all_65_0_50 and discharging atoms multiplication(all_0_4_4, all_0_3_3) = all_65_0_50, multiplication(all_0_4_4, all_0_3_3) = all_57_0_44, yields:
% 41.64/11.78 | (251) all_65_0_50 = all_57_0_44
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (26) with all_127_1_111, all_127_2_112 and discharging atoms multiplication(one, all_127_2_112) = all_127_1_111, yields:
% 41.64/11.78 | (252) all_127_1_111 = all_127_2_112
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (26) with all_95_1_83, all_95_2_84 and discharging atoms multiplication(one, all_95_2_84) = all_95_1_83, yields:
% 41.64/11.78 | (253) all_95_1_83 = all_95_2_84
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (26) with all_81_1_67, all_81_2_68 and discharging atoms multiplication(one, all_81_2_68) = all_81_1_67, yields:
% 41.64/11.78 | (254) all_81_1_67 = all_81_2_68
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (26) with all_53_1_39, all_53_2_40 and discharging atoms multiplication(one, all_53_2_40) = all_53_1_39, yields:
% 41.64/11.78 | (255) all_53_1_39 = all_53_2_40
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (4) with all_111_0_98, all_17_0_22 and discharging atoms addition(all_17_0_22, all_17_0_22) = all_111_0_98, yields:
% 41.64/11.78 | (256) all_111_0_98 = all_17_0_22
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (4) with all_77_0_61, all_13_0_18 and discharging atoms addition(all_13_0_18, all_13_0_18) = all_77_0_61, yields:
% 41.64/11.78 | (257) all_77_0_61 = all_13_0_18
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (6) with one, all_5_2_11, all_69_0_54, all_85_0_72 and discharging atoms addition(one, all_5_2_11) = all_85_0_72, addition(one, all_5_2_11) = all_69_0_54, yields:
% 41.64/11.78 | (258) all_85_0_72 = all_69_0_54
% 41.64/11.78 |
% 41.64/11.78 | Instantiating formula (6) with one, all_0_3_3, all_75_0_60, all_123_0_105 and discharging atoms addition(one, all_0_3_3) = all_123_0_105, addition(one, all_0_3_3) = all_75_0_60, yields:
% 41.64/11.78 | (259) all_123_0_105 = all_75_0_60
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (237,238) yields a new equation:
% 41.64/11.78 | (260) all_79_2_64 = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (244,247) yields a new equation:
% 41.64/11.78 | (261) all_97_0_86 = all_67_0_52
% 41.64/11.78 |
% 41.64/11.78 | Simplifying 261 yields:
% 41.64/11.78 | (262) all_97_0_86 = all_67_0_52
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (246,262) yields a new equation:
% 41.64/11.78 | (263) all_87_0_73 = all_67_0_52
% 41.64/11.78 |
% 41.64/11.78 | Simplifying 263 yields:
% 41.64/11.78 | (264) all_87_0_73 = all_67_0_52
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (234,235) yields a new equation:
% 41.64/11.78 | (265) all_73_2_58 = all_5_2_11
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (264,245) yields a new equation:
% 41.64/11.78 | (266) all_67_0_52 = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | Simplifying 266 yields:
% 41.64/11.78 | (267) all_67_0_52 = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (249,248) yields a new equation:
% 41.64/11.78 | (268) all_59_0_46 = all_17_1_23
% 41.64/11.78 |
% 41.64/11.78 | Simplifying 268 yields:
% 41.64/11.78 | (269) all_59_0_46 = all_17_1_23
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (251,250) yields a new equation:
% 41.64/11.78 | (270) all_57_0_44 = all_13_1_19
% 41.64/11.78 |
% 41.64/11.78 | Simplifying 270 yields:
% 41.64/11.78 | (271) all_57_0_44 = all_13_1_19
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (265,243) yields a new equation:
% 41.64/11.78 | (272) all_73_1_57 = all_5_2_11
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (260,242) yields a new equation:
% 41.64/11.78 | (273) all_79_1_63 = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (233,241) yields a new equation:
% 41.64/11.78 | (274) all_93_1_79 = all_53_2_40
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (265,235) yields a new equation:
% 41.64/11.78 | (234) all_95_2_84 = all_5_2_11
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (234,253) yields a new equation:
% 41.64/11.78 | (276) all_95_1_83 = all_5_2_11
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (267,262) yields a new equation:
% 41.64/11.78 | (277) all_97_0_86 = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (267,247) yields a new equation:
% 41.64/11.78 | (278) all_99_0_88 = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (236,240) yields a new equation:
% 41.64/11.78 | (279) all_125_1_107 = all_81_2_68
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (260,238) yields a new equation:
% 41.64/11.78 | (237) all_127_2_112 = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | Combining equations (237,252) yields a new equation:
% 41.64/11.78 | (281) all_127_1_111 = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | From (260) and (164) follows:
% 41.64/11.78 | (37) star(all_0_4_4) = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | From (273) and (165) follows:
% 41.64/11.78 | (283) leq(all_0_3_3, all_0_3_3) = all_79_0_62
% 41.64/11.78 |
% 41.64/11.78 | From (236)(279) and (222) follows:
% 41.64/11.78 | (284) multiplication(all_81_2_68, one) = all_81_2_68
% 41.64/11.78 |
% 41.64/11.78 | From (233)(274) and (190) follows:
% 41.64/11.78 | (285) multiplication(all_53_2_40, one) = all_53_2_40
% 41.64/11.78 |
% 41.64/11.78 | From (260)(273) and (166) follows:
% 41.64/11.78 | (286) multiplication(all_0_3_3, one) = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | From (265)(272) and (152) follows:
% 41.64/11.78 | (287) multiplication(all_5_2_11, one) = all_5_2_11
% 41.64/11.78 |
% 41.64/11.78 | From (267) and (143) follows:
% 41.64/11.78 | (36) multiplication(all_0_3_3, all_0_3_3) = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | From (269) and (129) follows:
% 41.64/11.78 | (65) multiplication(all_0_3_3, all_0_4_4) = all_17_1_23
% 41.64/11.78 |
% 41.64/11.78 | From (271) and (125) follows:
% 41.64/11.78 | (57) multiplication(all_0_4_4, all_0_3_3) = all_13_1_19
% 41.64/11.78 |
% 41.64/11.78 | From (237)(281) and (232) follows:
% 41.64/11.78 | (291) multiplication(one, all_0_3_3) = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | From (234)(276) and (197) follows:
% 41.64/11.78 | (292) multiplication(one, all_5_2_11) = all_5_2_11
% 41.64/11.78 |
% 41.64/11.78 | From (254) and (170) follows:
% 41.64/11.78 | (293) multiplication(one, all_81_2_68) = all_81_2_68
% 41.64/11.78 |
% 41.64/11.78 | From (255) and (119) follows:
% 41.64/11.78 | (294) multiplication(one, all_53_2_40) = all_53_2_40
% 41.64/11.78 |
% 41.64/11.78 | From (256) and (210) follows:
% 41.64/11.78 | (80) addition(all_17_0_22, all_0_3_3) = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | From (278) and (208) follows:
% 41.64/11.78 | (296) addition(all_99_1_89, all_0_2_2) = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | From (277) and (204) follows:
% 41.64/11.78 | (297) addition(all_97_1_87, all_0_2_2) = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | From (245) and (185) follows:
% 41.64/11.78 | (298) addition(all_87_1_74, all_0_2_2) = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | From (248) and (178) follows:
% 41.64/11.78 | (299) addition(all_83_1_71, all_17_1_23) = all_17_1_23
% 41.64/11.78 |
% 41.64/11.78 | From (257) and (161) follows:
% 41.64/11.78 | (82) addition(all_13_0_18, all_0_3_3) = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | From (267) and (144) follows:
% 41.64/11.78 | (301) addition(all_67_1_53, all_0_2_2) = all_0_2_2
% 41.64/11.78 |
% 41.64/11.78 | From (250) and (140) follows:
% 41.64/11.78 | (302) addition(all_65_1_51, all_13_1_19) = all_13_1_19
% 41.64/11.78 |
% 41.64/11.78 | From (269) and (130) follows:
% 41.64/11.78 | (303) addition(all_59_1_47, all_17_1_23) = all_17_1_23
% 41.64/11.78 |
% 41.64/11.78 | From (271) and (126) follows:
% 41.64/11.78 | (304) addition(all_57_1_45, all_13_1_19) = all_13_1_19
% 41.64/11.78 |
% 41.64/11.78 | From (259) and (219) follows:
% 41.64/11.78 | (305) addition(all_17_1_23, all_75_0_60) = all_0_3_3
% 41.64/11.78 |
% 41.64/11.78 | From (258) and (181) follows:
% 41.64/11.78 | (147) addition(one, all_5_2_11) = all_69_0_54
% 41.64/11.79 |
% 41.64/11.79 | From (259) and (220) follows:
% 41.64/11.79 | (159) addition(one, all_0_3_3) = all_75_0_60
% 41.64/11.79 |
% 41.64/11.79 +-Applying beta-rule and splitting (168), into two cases.
% 41.64/11.79 |-Branch one:
% 41.64/11.79 | (308) ~ (all_79_3_65 = 0)
% 41.64/11.79 |
% 41.64/11.79 | Equations (239) can reduce 308 to:
% 41.64/11.79 | (309) $false
% 41.64/11.79 |
% 41.64/11.79 |-The branch is then unsatisfiable
% 41.64/11.79 |-Branch two:
% 41.64/11.79 | (239) all_79_3_65 = 0
% 41.64/11.79 | (311) all_79_0_62 = 0
% 41.64/11.79 |
% 41.64/11.79 | From (311) and (283) follows:
% 41.64/11.79 | (312) leq(all_0_3_3, all_0_3_3) = 0
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (25) with all_81_2_68, all_81_2_68, one, one, all_81_2_68 and discharging atoms multiplication(all_81_2_68, one) = all_81_2_68, yields:
% 41.64/11.79 | (313) ? [v0] : (multiplication(all_81_2_68, v0) = all_81_2_68 & multiplication(one, one) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (25) with all_53_2_40, all_53_2_40, one, one, all_53_2_40 and discharging atoms multiplication(all_53_2_40, one) = all_53_2_40, yields:
% 41.64/11.79 | (314) ? [v0] : (multiplication(all_53_2_40, v0) = all_53_2_40 & multiplication(one, one) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (25) with all_5_2_11, all_5_2_11, one, one, all_5_2_11 and discharging atoms multiplication(all_5_2_11, one) = all_5_2_11, yields:
% 41.64/11.79 | (315) ? [v0] : (multiplication(all_5_2_11, v0) = all_5_2_11 & multiplication(one, one) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (23) with all_87_1_74, all_17_0_22, one, all_17_1_23, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_17_0_22) = all_87_1_74, addition(all_17_1_23, one) = all_17_0_22, yields:
% 41.64/11.79 | (316) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_17_1_23) = v0 & multiplication(all_0_3_3, one) = v1 & addition(v0, v1) = all_87_1_74)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (23) with all_87_1_74, all_17_0_22, all_17_1_23, one, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_17_0_22) = all_87_1_74, addition(one, all_17_1_23) = all_17_0_22, yields:
% 41.64/11.79 | (317) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_17_1_23) = v1 & multiplication(all_0_3_3, one) = v0 & addition(v0, v1) = all_87_1_74)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (23) with all_97_1_87, all_13_0_18, one, all_13_1_19, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_13_0_18) = all_97_1_87, addition(all_13_1_19, one) = all_13_0_18, yields:
% 41.64/11.79 | (318) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_13_1_19) = v0 & multiplication(all_0_3_3, one) = v1 & addition(v0, v1) = all_97_1_87)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (23) with all_97_1_87, all_13_0_18, all_13_1_19, one, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_13_0_18) = all_97_1_87, addition(one, all_13_1_19) = all_13_0_18, yields:
% 41.64/11.79 | (319) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_13_1_19) = v1 & multiplication(all_0_3_3, one) = v0 & addition(v0, v1) = all_97_1_87)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (28) with all_0_2_2, all_0_3_3, one, all_0_3_3, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, multiplication(all_0_3_3, one) = all_0_3_3, yields:
% 41.64/11.79 | (320) ? [v0] : (multiplication(v0, one) = all_0_2_2 & multiplication(all_0_3_3, all_0_3_3) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (25) with all_0_3_3, all_0_3_3, one, one, all_0_3_3 and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, yields:
% 41.64/11.79 | (321) ? [v0] : (multiplication(all_0_3_3, v0) = all_0_3_3 & multiplication(one, one) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (7) with all_0_3_3, all_0_3_3, one, all_0_3_3, all_17_0_22 and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(all_17_0_22, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (322) ? [v0] : ? [v1] : (multiplication(all_17_0_22, one) = v0 & multiplication(all_0_3_3, one) = v1 & addition(v0, v1) = all_0_3_3)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (7) with all_0_3_3, all_0_3_3, one, all_0_3_3, all_13_0_18 and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(all_13_0_18, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (323) ? [v0] : ? [v1] : (multiplication(all_13_0_18, one) = v0 & multiplication(all_0_3_3, one) = v1 & addition(v0, v1) = all_0_3_3)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (28) with all_81_2_68, all_81_2_68, all_81_2_68, one, one and discharging atoms multiplication(one, all_81_2_68) = all_81_2_68, yields:
% 41.64/11.79 | (324) ? [v0] : (multiplication(v0, all_81_2_68) = all_81_2_68 & multiplication(one, one) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (28) with all_53_2_40, all_53_2_40, all_53_2_40, one, one and discharging atoms multiplication(one, all_53_2_40) = all_53_2_40, yields:
% 41.64/11.79 | (325) ? [v0] : (multiplication(v0, all_53_2_40) = all_53_2_40 & multiplication(one, one) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (28) with all_5_2_11, all_5_2_11, all_5_2_11, one, one and discharging atoms multiplication(one, all_5_2_11) = all_5_2_11, yields:
% 41.64/11.79 | (326) ? [v0] : (multiplication(v0, all_5_2_11) = all_5_2_11 & multiplication(one, one) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (25) with all_0_2_2, all_0_3_3, all_0_3_3, all_0_3_3, one and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, multiplication(one, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (327) ? [v0] : (multiplication(all_0_3_3, all_0_3_3) = v0 & multiplication(one, v0) = all_0_2_2)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (28) with all_0_3_3, all_0_3_3, all_0_3_3, one, one and discharging atoms multiplication(one, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (328) ? [v0] : (multiplication(v0, all_0_3_3) = all_0_3_3 & multiplication(one, one) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (34) with all_0_2_2, all_99_1_89, all_0_2_2, all_0_3_3, all_17_0_22 and discharging atoms multiplication(all_17_0_22, all_0_3_3) = all_99_1_89, addition(all_99_1_89, all_0_2_2) = all_0_2_2, yields:
% 41.64/11.79 | (329) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_17_0_22) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_2_2, all_0_3_3) = v0 & multiplication(v1, all_0_2_2) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (29) with all_0_2_2, all_97_1_87, all_0_2_2, all_13_0_18, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_13_0_18) = all_97_1_87, addition(all_97_1_87, all_0_2_2) = all_0_2_2, yields:
% 41.64/11.79 | (330) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_13_0_18) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_2_2, all_0_3_3) = v0 & multiplication(all_0_2_2, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (29) with all_0_2_2, all_87_1_74, all_0_2_2, all_17_0_22, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_17_0_22) = all_87_1_74, addition(all_87_1_74, all_0_2_2) = all_0_2_2, yields:
% 41.64/11.79 | (331) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_17_0_22) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_2_2, all_0_3_3) = v0 & multiplication(all_0_2_2, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (29) with all_17_1_23, all_83_1_71, all_17_1_23, all_0_4_4, all_13_0_18 and discharging atoms multiplication(all_13_0_18, all_0_4_4) = all_83_1_71, addition(all_83_1_71, all_17_1_23) = all_17_1_23, yields:
% 41.64/11.79 | (332) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_13_0_18) = v3 & leq(all_17_1_23, all_13_0_18) = v0 & multiplication(all_17_1_23, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (7) with all_0_2_2, all_0_3_3, all_0_3_3, all_0_3_3, all_71_0_55 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_71_0_55, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (333) ? [v0] : ? [v1] : (multiplication(all_71_0_55, all_0_3_3) = v0 & multiplication(all_0_3_3, all_0_3_3) = v1 & addition(v0, v1) = all_0_2_2)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_0_3_3, all_71_0_55, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_71_0_55, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (334) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_71_0_55) = v0 & multiplication(all_0_3_3, all_0_3_3) = v1 & addition(v0, v1) = all_0_2_2)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (7) with all_0_3_3, all_0_3_3, one, all_0_3_3, all_71_0_55 and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(all_71_0_55, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (335) ? [v0] : ? [v1] : (multiplication(all_71_0_55, one) = v0 & multiplication(all_0_3_3, one) = v1 & addition(v0, v1) = all_0_3_3)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (34) with all_0_2_2, all_67_1_53, all_0_2_2, all_0_3_3, all_13_0_18 and discharging atoms multiplication(all_13_0_18, all_0_3_3) = all_67_1_53, addition(all_67_1_53, all_0_2_2) = all_0_2_2, yields:
% 41.64/11.79 | (336) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_13_0_18) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_2_2, all_0_3_3) = v0 & multiplication(v1, all_0_2_2) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (34) with all_13_1_19, all_65_1_51, all_13_1_19, all_13_0_18, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_13_0_18) = all_65_1_51, addition(all_65_1_51, all_13_1_19) = all_13_1_19, yields:
% 41.64/11.79 | (337) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_13_0_18) = v3 & leq(all_13_1_19, all_13_0_18) = v0 & multiplication(v1, all_13_1_19) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (7) with all_0_2_2, all_0_3_3, all_0_3_3, all_0_3_3, all_61_0_48 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_61_0_48, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (338) ? [v0] : ? [v1] : (multiplication(all_61_0_48, all_0_3_3) = v0 & multiplication(all_0_3_3, all_0_3_3) = v1 & addition(v0, v1) = all_0_2_2)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_0_3_3, all_61_0_48, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_61_0_48, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (339) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_61_0_48) = v0 & multiplication(all_0_3_3, all_0_3_3) = v1 & addition(v0, v1) = all_0_2_2)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (7) with all_0_3_3, all_0_3_3, one, all_0_3_3, all_61_0_48 and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(all_61_0_48, all_0_3_3) = all_0_3_3, yields:
% 41.64/11.79 | (340) ? [v0] : ? [v1] : (multiplication(all_61_0_48, one) = v0 & multiplication(all_0_3_3, one) = v1 & addition(v0, v1) = all_0_3_3)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (29) with all_17_1_23, all_59_1_47, all_17_1_23, all_0_4_4, all_17_0_22 and discharging atoms multiplication(all_17_0_22, all_0_4_4) = all_59_1_47, addition(all_59_1_47, all_17_1_23) = all_17_1_23, yields:
% 41.64/11.79 | (341) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_17_0_22) = v3 & leq(all_17_1_23, all_17_0_22) = v0 & multiplication(all_17_1_23, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (34) with all_13_1_19, all_57_1_45, all_13_1_19, all_17_0_22, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_17_0_22) = all_57_1_45, addition(all_57_1_45, all_13_1_19) = all_13_1_19, yields:
% 41.64/11.79 | (342) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_17_0_22) = v3 & leq(all_13_1_19, all_17_0_22) = v0 & multiplication(v1, all_13_1_19) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (29) with all_0_3_3, all_17_1_23, all_75_0_60, all_0_4_4, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_4_4) = all_17_1_23, addition(all_17_1_23, all_75_0_60) = all_0_3_3, yields:
% 41.64/11.79 | (343) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_3_3, all_0_3_3) = v0 & multiplication(all_75_0_60, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (27) with all_0_3_3, all_17_1_23, all_83_1_71, all_17_1_23, all_75_0_60 and discharging atoms addition(all_83_1_71, all_17_1_23) = all_17_1_23, addition(all_17_1_23, all_75_0_60) = all_0_3_3, yields:
% 41.64/11.79 | (344) ? [v0] : (addition(all_83_1_71, v0) = all_0_3_3 & addition(all_17_1_23, all_75_0_60) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (27) with all_0_3_3, all_17_1_23, all_59_1_47, all_17_1_23, all_75_0_60 and discharging atoms addition(all_59_1_47, all_17_1_23) = all_17_1_23, addition(all_17_1_23, all_75_0_60) = all_0_3_3, yields:
% 41.64/11.79 | (345) ? [v0] : (addition(all_59_1_47, v0) = all_0_3_3 & addition(all_17_1_23, all_75_0_60) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (29) with all_113_0_99, all_17_1_23, all_0_3_3, all_0_4_4, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_4_4) = all_17_1_23, addition(all_17_1_23, all_0_3_3) = all_113_0_99, yields:
% 41.64/11.79 | (346) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_113_0_99, all_0_3_3) = v0 & multiplication(all_0_3_3, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (18) with all_113_0_99, all_0_3_3, all_17_1_23, all_17_1_23, all_75_0_60 and discharging atoms addition(all_17_1_23, all_75_0_60) = all_0_3_3, addition(all_17_1_23, all_0_3_3) = all_113_0_99, yields:
% 41.64/11.79 | (347) ? [v0] : (addition(v0, all_75_0_60) = all_113_0_99 & addition(all_17_1_23, all_17_1_23) = v0)
% 41.64/11.79 |
% 41.64/11.79 | Instantiating formula (34) with all_0_3_3, all_13_1_19, all_75_0_60, all_0_3_3, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_3_3) = all_13_1_19, addition(all_13_1_19, all_75_0_60) = all_0_3_3, yields:
% 41.64/11.80 | (348) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_3_3, all_0_3_3) = v0 & multiplication(v1, all_75_0_60) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (27) with all_0_3_3, all_13_1_19, all_65_1_51, all_13_1_19, all_75_0_60 and discharging atoms addition(all_65_1_51, all_13_1_19) = all_13_1_19, addition(all_13_1_19, all_75_0_60) = all_0_3_3, yields:
% 41.64/11.80 | (349) ? [v0] : (addition(all_65_1_51, v0) = all_0_3_3 & addition(all_13_1_19, all_75_0_60) = v0)
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (27) with all_0_3_3, all_13_1_19, all_57_1_45, all_13_1_19, all_75_0_60 and discharging atoms addition(all_57_1_45, all_13_1_19) = all_13_1_19, addition(all_13_1_19, all_75_0_60) = all_0_3_3, yields:
% 41.64/11.80 | (350) ? [v0] : (addition(all_57_1_45, v0) = all_0_3_3 & addition(all_13_1_19, all_75_0_60) = v0)
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (34) with all_63_0_49, all_13_1_19, all_0_3_3, all_0_3_3, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_3_3) = all_13_1_19, addition(all_13_1_19, all_0_3_3) = all_63_0_49, yields:
% 41.64/11.80 | (351) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(all_0_4_4) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_63_0_49, all_0_3_3) = v0 & multiplication(v1, all_0_3_3) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (18) with all_63_0_49, all_0_3_3, all_13_1_19, all_13_1_19, all_75_0_60 and discharging atoms addition(all_13_1_19, all_75_0_60) = all_0_3_3, addition(all_13_1_19, all_0_3_3) = all_63_0_49, yields:
% 41.64/11.80 | (352) ? [v0] : (addition(v0, all_75_0_60) = all_63_0_49 & addition(all_13_1_19, all_13_1_19) = v0)
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (7) with all_0_2_2, all_0_3_3, all_0_3_3, all_17_0_22, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_0_3_3, all_17_0_22) = all_0_3_3, yields:
% 41.64/11.80 | (353) ? [v0] : ? [v1] : (multiplication(all_17_0_22, all_0_3_3) = v1 & multiplication(all_0_3_3, all_0_3_3) = v0 & addition(v0, v1) = all_0_2_2)
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_17_0_22, all_0_3_3, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_0_3_3, all_17_0_22) = all_0_3_3, yields:
% 41.64/11.80 | (354) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_17_0_22) = v1 & multiplication(all_0_3_3, all_0_3_3) = v0 & addition(v0, v1) = all_0_2_2)
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (29) with all_0_3_3, all_0_3_3, all_17_0_22, one, all_0_3_3 and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(all_0_3_3, all_17_0_22) = all_0_3_3, yields:
% 41.64/11.80 | (355) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(one) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_3_3, all_0_3_3) = v0 & multiplication(all_17_0_22, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (7) with all_0_3_3, all_0_3_3, one, all_17_0_22, all_0_3_3 and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(all_0_3_3, all_17_0_22) = all_0_3_3, yields:
% 41.64/11.80 | (356) ? [v0] : ? [v1] : (multiplication(all_17_0_22, one) = v1 & multiplication(all_0_3_3, one) = v0 & addition(v0, v1) = all_0_3_3)
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (34) with all_0_3_3, all_0_3_3, all_17_0_22, all_0_3_3, one and discharging atoms multiplication(one, all_0_3_3) = all_0_3_3, addition(all_0_3_3, all_17_0_22) = all_0_3_3, yields:
% 41.64/11.80 | (357) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(one) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_3_3, all_0_3_3) = v0 & multiplication(v1, all_17_0_22) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (7) with all_0_2_2, all_0_3_3, all_0_3_3, all_13_0_18, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_0_3_3, all_13_0_18) = all_0_3_3, yields:
% 41.64/11.80 | (358) ? [v0] : ? [v1] : (multiplication(all_13_0_18, all_0_3_3) = v1 & multiplication(all_0_3_3, all_0_3_3) = v0 & addition(v0, v1) = all_0_2_2)
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_13_0_18, all_0_3_3, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(all_0_3_3, all_13_0_18) = all_0_3_3, yields:
% 41.64/11.80 | (359) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_13_0_18) = v1 & multiplication(all_0_3_3, all_0_3_3) = v0 & addition(v0, v1) = all_0_2_2)
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (29) with all_0_3_3, all_0_3_3, all_13_0_18, one, all_0_3_3 and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(all_0_3_3, all_13_0_18) = all_0_3_3, yields:
% 41.64/11.80 | (360) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(one) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_3_3, all_0_3_3) = v0 & multiplication(all_13_0_18, v1) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (7) with all_0_3_3, all_0_3_3, one, all_13_0_18, all_0_3_3 and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(all_0_3_3, all_13_0_18) = all_0_3_3, yields:
% 41.64/11.80 | (361) ? [v0] : ? [v1] : (multiplication(all_13_0_18, one) = v1 & multiplication(all_0_3_3, one) = v0 & addition(v0, v1) = all_0_3_3)
% 41.64/11.80 |
% 41.64/11.80 | Instantiating formula (34) with all_0_3_3, all_0_3_3, all_13_0_18, all_0_3_3, one and discharging atoms multiplication(one, all_0_3_3) = all_0_3_3, addition(all_0_3_3, all_13_0_18) = all_0_3_3, yields:
% 41.64/11.80 | (362) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (star(one) = v1 & leq(v2, all_0_3_3) = v3 & leq(all_0_3_3, all_0_3_3) = v0 & multiplication(v1, all_13_0_18) = v2 & ( ~ (v0 = 0) | v3 = 0))
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (7) with all_5_2_11, all_5_2_11, one, all_115_0_100, one and discharging atoms multiplication(all_5_2_11, one) = all_5_2_11, addition(one, all_115_0_100) = all_5_2_11, yields:
% 41.76/11.80 | (363) ? [v0] : ? [v1] : (multiplication(all_115_0_100, one) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_5_2_11)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (23) with all_5_2_11, all_5_2_11, all_115_0_100, one, one and discharging atoms multiplication(one, all_5_2_11) = all_5_2_11, addition(one, all_115_0_100) = all_5_2_11, yields:
% 41.76/11.80 | (364) ? [v0] : ? [v1] : (multiplication(one, all_115_0_100) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_5_2_11)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (7) with all_0_2_2, all_0_3_3, all_0_3_3, all_113_0_99, one and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(one, all_113_0_99) = all_0_3_3, yields:
% 41.76/11.80 | (365) ? [v0] : ? [v1] : (multiplication(all_113_0_99, all_0_3_3) = v1 & multiplication(one, all_0_3_3) = v0 & addition(v0, v1) = all_0_2_2)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_113_0_99, one, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(one, all_113_0_99) = all_0_3_3, yields:
% 41.76/11.80 | (366) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_113_0_99) = v1 & multiplication(all_0_3_3, one) = v0 & addition(v0, v1) = all_0_2_2)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (7) with all_0_3_3, all_0_3_3, one, all_113_0_99, one and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(one, all_113_0_99) = all_0_3_3, yields:
% 41.76/11.80 | (367) ? [v0] : ? [v1] : (multiplication(all_113_0_99, one) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_3_3)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (23) with all_0_3_3, all_0_3_3, all_113_0_99, one, one and discharging atoms multiplication(one, all_0_3_3) = all_0_3_3, addition(one, all_113_0_99) = all_0_3_3, yields:
% 41.76/11.80 | (368) ? [v0] : ? [v1] : (multiplication(one, all_113_0_99) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_3_3)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (7) with all_5_2_11, all_5_2_11, one, all_89_0_75, one and discharging atoms multiplication(all_5_2_11, one) = all_5_2_11, addition(one, all_89_0_75) = all_5_2_11, yields:
% 41.76/11.80 | (369) ? [v0] : ? [v1] : (multiplication(all_89_0_75, one) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_5_2_11)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (23) with all_5_2_11, all_5_2_11, all_89_0_75, one, one and discharging atoms multiplication(one, all_5_2_11) = all_5_2_11, addition(one, all_89_0_75) = all_5_2_11, yields:
% 41.76/11.80 | (370) ? [v0] : ? [v1] : (multiplication(one, all_89_0_75) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_5_2_11)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (7) with all_0_2_2, all_0_3_3, all_0_3_3, all_63_0_49, one and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(one, all_63_0_49) = all_0_3_3, yields:
% 41.76/11.80 | (371) ? [v0] : ? [v1] : (multiplication(all_63_0_49, all_0_3_3) = v1 & multiplication(one, all_0_3_3) = v0 & addition(v0, v1) = all_0_2_2)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (23) with all_0_2_2, all_0_3_3, all_63_0_49, one, all_0_3_3 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, addition(one, all_63_0_49) = all_0_3_3, yields:
% 41.76/11.80 | (372) ? [v0] : ? [v1] : (multiplication(all_0_3_3, all_63_0_49) = v1 & multiplication(all_0_3_3, one) = v0 & addition(v0, v1) = all_0_2_2)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (7) with all_0_3_3, all_0_3_3, one, all_63_0_49, one and discharging atoms multiplication(all_0_3_3, one) = all_0_3_3, addition(one, all_63_0_49) = all_0_3_3, yields:
% 41.76/11.80 | (373) ? [v0] : ? [v1] : (multiplication(all_63_0_49, one) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_3_3)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (23) with all_0_3_3, all_0_3_3, all_63_0_49, one, one and discharging atoms multiplication(one, all_0_3_3) = all_0_3_3, addition(one, all_63_0_49) = all_0_3_3, yields:
% 41.76/11.80 | (374) ? [v0] : ? [v1] : (multiplication(one, all_63_0_49) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_3_3)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (18) with all_69_0_54, all_5_2_11, one, one, all_115_0_100 and discharging atoms addition(one, all_115_0_100) = all_5_2_11, addition(one, all_5_2_11) = all_69_0_54, yields:
% 41.76/11.80 | (375) ? [v0] : (addition(v0, all_115_0_100) = all_69_0_54 & addition(one, one) = v0)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (18) with all_69_0_54, all_5_2_11, one, one, all_89_0_75 and discharging atoms addition(one, all_89_0_75) = all_5_2_11, addition(one, all_5_2_11) = all_69_0_54, yields:
% 41.76/11.80 | (376) ? [v0] : (addition(v0, all_89_0_75) = all_69_0_54 & addition(one, one) = v0)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (18) with all_75_0_60, all_0_3_3, one, one, all_113_0_99 and discharging atoms addition(one, all_113_0_99) = all_0_3_3, addition(one, all_0_3_3) = all_75_0_60, yields:
% 41.76/11.80 | (377) ? [v0] : (addition(v0, all_113_0_99) = all_75_0_60 & addition(one, one) = v0)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating formula (18) with all_75_0_60, all_0_3_3, one, one, all_63_0_49 and discharging atoms addition(one, all_63_0_49) = all_0_3_3, addition(one, all_0_3_3) = all_75_0_60, yields:
% 41.76/11.80 | (378) ? [v0] : (addition(v0, all_63_0_49) = all_75_0_60 & addition(one, one) = v0)
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (378) with all_159_0_114 yields:
% 41.76/11.80 | (379) addition(all_159_0_114, all_63_0_49) = all_75_0_60 & addition(one, one) = all_159_0_114
% 41.76/11.80 |
% 41.76/11.80 | Applying alpha-rule on (379) yields:
% 41.76/11.80 | (380) addition(all_159_0_114, all_63_0_49) = all_75_0_60
% 41.76/11.80 | (381) addition(one, one) = all_159_0_114
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (377) with all_161_0_115 yields:
% 41.76/11.80 | (382) addition(all_161_0_115, all_113_0_99) = all_75_0_60 & addition(one, one) = all_161_0_115
% 41.76/11.80 |
% 41.76/11.80 | Applying alpha-rule on (382) yields:
% 41.76/11.80 | (383) addition(all_161_0_115, all_113_0_99) = all_75_0_60
% 41.76/11.80 | (384) addition(one, one) = all_161_0_115
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (374) with all_163_0_116, all_163_1_117 yields:
% 41.76/11.80 | (385) multiplication(one, all_63_0_49) = all_163_0_116 & multiplication(one, one) = all_163_1_117 & addition(all_163_1_117, all_163_0_116) = all_0_3_3
% 41.76/11.80 |
% 41.76/11.80 | Applying alpha-rule on (385) yields:
% 41.76/11.80 | (386) multiplication(one, all_63_0_49) = all_163_0_116
% 41.76/11.80 | (387) multiplication(one, one) = all_163_1_117
% 41.76/11.80 | (388) addition(all_163_1_117, all_163_0_116) = all_0_3_3
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (372) with all_167_0_120, all_167_1_121 yields:
% 41.76/11.80 | (389) multiplication(all_0_3_3, all_63_0_49) = all_167_0_120 & multiplication(all_0_3_3, one) = all_167_1_121 & addition(all_167_1_121, all_167_0_120) = all_0_2_2
% 41.76/11.80 |
% 41.76/11.80 | Applying alpha-rule on (389) yields:
% 41.76/11.80 | (390) multiplication(all_0_3_3, all_63_0_49) = all_167_0_120
% 41.76/11.80 | (391) multiplication(all_0_3_3, one) = all_167_1_121
% 41.76/11.80 | (392) addition(all_167_1_121, all_167_0_120) = all_0_2_2
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (373) with all_169_0_122, all_169_1_123 yields:
% 41.76/11.80 | (393) multiplication(all_63_0_49, one) = all_169_0_122 & multiplication(one, one) = all_169_1_123 & addition(all_169_1_123, all_169_0_122) = all_0_3_3
% 41.76/11.80 |
% 41.76/11.80 | Applying alpha-rule on (393) yields:
% 41.76/11.80 | (394) multiplication(all_63_0_49, one) = all_169_0_122
% 41.76/11.80 | (395) multiplication(one, one) = all_169_1_123
% 41.76/11.80 | (396) addition(all_169_1_123, all_169_0_122) = all_0_3_3
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (371) with all_171_0_124, all_171_1_125 yields:
% 41.76/11.80 | (397) multiplication(all_63_0_49, all_0_3_3) = all_171_0_124 & multiplication(one, all_0_3_3) = all_171_1_125 & addition(all_171_1_125, all_171_0_124) = all_0_2_2
% 41.76/11.80 |
% 41.76/11.80 | Applying alpha-rule on (397) yields:
% 41.76/11.80 | (398) multiplication(all_63_0_49, all_0_3_3) = all_171_0_124
% 41.76/11.80 | (399) multiplication(one, all_0_3_3) = all_171_1_125
% 41.76/11.80 | (400) addition(all_171_1_125, all_171_0_124) = all_0_2_2
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (348) with all_219_0_161, all_219_1_162, all_219_2_163, all_219_3_164 yields:
% 41.76/11.80 | (401) star(all_0_4_4) = all_219_2_163 & leq(all_219_1_162, all_0_3_3) = all_219_0_161 & leq(all_0_3_3, all_0_3_3) = all_219_3_164 & multiplication(all_219_2_163, all_75_0_60) = all_219_1_162 & ( ~ (all_219_3_164 = 0) | all_219_0_161 = 0)
% 41.76/11.80 |
% 41.76/11.80 | Applying alpha-rule on (401) yields:
% 41.76/11.80 | (402) leq(all_219_1_162, all_0_3_3) = all_219_0_161
% 41.76/11.80 | (403) ~ (all_219_3_164 = 0) | all_219_0_161 = 0
% 41.76/11.80 | (404) star(all_0_4_4) = all_219_2_163
% 41.76/11.80 | (405) multiplication(all_219_2_163, all_75_0_60) = all_219_1_162
% 41.76/11.80 | (406) leq(all_0_3_3, all_0_3_3) = all_219_3_164
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (322) with all_251_0_190, all_251_1_191 yields:
% 41.76/11.80 | (407) multiplication(all_17_0_22, one) = all_251_1_191 & multiplication(all_0_3_3, one) = all_251_0_190 & addition(all_251_1_191, all_251_0_190) = all_0_3_3
% 41.76/11.80 |
% 41.76/11.80 | Applying alpha-rule on (407) yields:
% 41.76/11.80 | (408) multiplication(all_17_0_22, one) = all_251_1_191
% 41.76/11.80 | (409) multiplication(all_0_3_3, one) = all_251_0_190
% 41.76/11.80 | (410) addition(all_251_1_191, all_251_0_190) = all_0_3_3
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (321) with all_253_0_192 yields:
% 41.76/11.80 | (411) multiplication(all_0_3_3, all_253_0_192) = all_0_3_3 & multiplication(one, one) = all_253_0_192
% 41.76/11.80 |
% 41.76/11.80 | Applying alpha-rule on (411) yields:
% 41.76/11.80 | (412) multiplication(all_0_3_3, all_253_0_192) = all_0_3_3
% 41.76/11.80 | (413) multiplication(one, one) = all_253_0_192
% 41.76/11.80 |
% 41.76/11.80 | Instantiating (316) with all_255_0_193, all_255_1_194 yields:
% 41.76/11.80 | (414) multiplication(all_0_3_3, all_17_1_23) = all_255_1_194 & multiplication(all_0_3_3, one) = all_255_0_193 & addition(all_255_1_194, all_255_0_193) = all_87_1_74
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (414) yields:
% 41.76/11.81 | (415) multiplication(all_0_3_3, all_17_1_23) = all_255_1_194
% 41.76/11.81 | (416) multiplication(all_0_3_3, one) = all_255_0_193
% 41.76/11.81 | (417) addition(all_255_1_194, all_255_0_193) = all_87_1_74
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (320) with all_261_0_198 yields:
% 41.76/11.81 | (418) multiplication(all_261_0_198, one) = all_0_2_2 & multiplication(all_0_3_3, all_0_3_3) = all_261_0_198
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (418) yields:
% 41.76/11.81 | (419) multiplication(all_261_0_198, one) = all_0_2_2
% 41.76/11.81 | (420) multiplication(all_0_3_3, all_0_3_3) = all_261_0_198
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (317) with all_267_0_203, all_267_1_204 yields:
% 41.76/11.81 | (421) multiplication(all_0_3_3, all_17_1_23) = all_267_0_203 & multiplication(all_0_3_3, one) = all_267_1_204 & addition(all_267_1_204, all_267_0_203) = all_87_1_74
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (421) yields:
% 41.76/11.81 | (422) multiplication(all_0_3_3, all_17_1_23) = all_267_0_203
% 41.76/11.81 | (423) multiplication(all_0_3_3, one) = all_267_1_204
% 41.76/11.81 | (424) addition(all_267_1_204, all_267_0_203) = all_87_1_74
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (354) with all_291_0_236, all_291_1_237 yields:
% 41.76/11.81 | (425) multiplication(all_0_3_3, all_17_0_22) = all_291_0_236 & multiplication(all_0_3_3, all_0_3_3) = all_291_1_237 & addition(all_291_1_237, all_291_0_236) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (425) yields:
% 41.76/11.81 | (426) multiplication(all_0_3_3, all_17_0_22) = all_291_0_236
% 41.76/11.81 | (427) multiplication(all_0_3_3, all_0_3_3) = all_291_1_237
% 41.76/11.81 | (428) addition(all_291_1_237, all_291_0_236) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (353) with all_293_0_238, all_293_1_239 yields:
% 41.76/11.81 | (429) multiplication(all_17_0_22, all_0_3_3) = all_293_0_238 & multiplication(all_0_3_3, all_0_3_3) = all_293_1_239 & addition(all_293_1_239, all_293_0_238) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (429) yields:
% 41.76/11.81 | (430) multiplication(all_17_0_22, all_0_3_3) = all_293_0_238
% 41.76/11.81 | (431) multiplication(all_0_3_3, all_0_3_3) = all_293_1_239
% 41.76/11.81 | (432) addition(all_293_1_239, all_293_0_238) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (328) with all_309_0_257 yields:
% 41.76/11.81 | (433) multiplication(all_309_0_257, all_0_3_3) = all_0_3_3 & multiplication(one, one) = all_309_0_257
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (433) yields:
% 41.76/11.81 | (434) multiplication(all_309_0_257, all_0_3_3) = all_0_3_3
% 41.76/11.81 | (435) multiplication(one, one) = all_309_0_257
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (327) with all_319_0_262 yields:
% 41.76/11.81 | (436) multiplication(all_0_3_3, all_0_3_3) = all_319_0_262 & multiplication(one, all_319_0_262) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (436) yields:
% 41.76/11.81 | (437) multiplication(all_0_3_3, all_0_3_3) = all_319_0_262
% 41.76/11.81 | (438) multiplication(one, all_319_0_262) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (319) with all_325_0_265, all_325_1_266 yields:
% 41.76/11.81 | (439) multiplication(all_0_3_3, all_13_1_19) = all_325_0_265 & multiplication(all_0_3_3, one) = all_325_1_266 & addition(all_325_1_266, all_325_0_265) = all_97_1_87
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (439) yields:
% 41.76/11.81 | (440) multiplication(all_0_3_3, all_13_1_19) = all_325_0_265
% 41.76/11.81 | (441) multiplication(all_0_3_3, one) = all_325_1_266
% 41.76/11.81 | (442) addition(all_325_1_266, all_325_0_265) = all_97_1_87
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (318) with all_327_0_267, all_327_1_268 yields:
% 41.76/11.81 | (443) multiplication(all_0_3_3, all_13_1_19) = all_327_1_268 & multiplication(all_0_3_3, one) = all_327_0_267 & addition(all_327_1_268, all_327_0_267) = all_97_1_87
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (443) yields:
% 41.76/11.81 | (444) multiplication(all_0_3_3, all_13_1_19) = all_327_1_268
% 41.76/11.81 | (445) multiplication(all_0_3_3, one) = all_327_0_267
% 41.76/11.81 | (446) addition(all_327_1_268, all_327_0_267) = all_97_1_87
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (326) with all_403_0_325 yields:
% 41.76/11.81 | (447) multiplication(all_403_0_325, all_5_2_11) = all_5_2_11 & multiplication(one, one) = all_403_0_325
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (447) yields:
% 41.76/11.81 | (448) multiplication(all_403_0_325, all_5_2_11) = all_5_2_11
% 41.76/11.81 | (449) multiplication(one, one) = all_403_0_325
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (365) with all_417_0_334, all_417_1_335 yields:
% 41.76/11.81 | (450) multiplication(all_113_0_99, all_0_3_3) = all_417_0_334 & multiplication(one, all_0_3_3) = all_417_1_335 & addition(all_417_1_335, all_417_0_334) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (450) yields:
% 41.76/11.81 | (451) multiplication(all_113_0_99, all_0_3_3) = all_417_0_334
% 41.76/11.81 | (452) multiplication(one, all_0_3_3) = all_417_1_335
% 41.76/11.81 | (453) addition(all_417_1_335, all_417_0_334) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (314) with all_419_0_336 yields:
% 41.76/11.81 | (454) multiplication(all_53_2_40, all_419_0_336) = all_53_2_40 & multiplication(one, one) = all_419_0_336
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (454) yields:
% 41.76/11.81 | (455) multiplication(all_53_2_40, all_419_0_336) = all_53_2_40
% 41.76/11.81 | (456) multiplication(one, one) = all_419_0_336
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (313) with all_421_0_337 yields:
% 41.76/11.81 | (457) multiplication(all_81_2_68, all_421_0_337) = all_81_2_68 & multiplication(one, one) = all_421_0_337
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (457) yields:
% 41.76/11.81 | (458) multiplication(all_81_2_68, all_421_0_337) = all_81_2_68
% 41.76/11.81 | (459) multiplication(one, one) = all_421_0_337
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (351) with all_425_0_339, all_425_1_340, all_425_2_341, all_425_3_342 yields:
% 41.76/11.81 | (460) star(all_0_4_4) = all_425_2_341 & leq(all_425_1_340, all_0_3_3) = all_425_0_339 & leq(all_63_0_49, all_0_3_3) = all_425_3_342 & multiplication(all_425_2_341, all_0_3_3) = all_425_1_340 & ( ~ (all_425_3_342 = 0) | all_425_0_339 = 0)
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (460) yields:
% 41.76/11.81 | (461) leq(all_63_0_49, all_0_3_3) = all_425_3_342
% 41.76/11.81 | (462) ~ (all_425_3_342 = 0) | all_425_0_339 = 0
% 41.76/11.81 | (463) star(all_0_4_4) = all_425_2_341
% 41.76/11.81 | (464) multiplication(all_425_2_341, all_0_3_3) = all_425_1_340
% 41.76/11.81 | (465) leq(all_425_1_340, all_0_3_3) = all_425_0_339
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (349) with all_435_0_348 yields:
% 41.76/11.81 | (466) addition(all_65_1_51, all_435_0_348) = all_0_3_3 & addition(all_13_1_19, all_75_0_60) = all_435_0_348
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (466) yields:
% 41.76/11.81 | (467) addition(all_65_1_51, all_435_0_348) = all_0_3_3
% 41.76/11.81 | (468) addition(all_13_1_19, all_75_0_60) = all_435_0_348
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (364) with all_447_0_354, all_447_1_355 yields:
% 41.76/11.81 | (469) multiplication(one, all_115_0_100) = all_447_0_354 & multiplication(one, one) = all_447_1_355 & addition(all_447_1_355, all_447_0_354) = all_5_2_11
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (469) yields:
% 41.76/11.81 | (470) multiplication(one, all_115_0_100) = all_447_0_354
% 41.76/11.81 | (471) multiplication(one, one) = all_447_1_355
% 41.76/11.81 | (472) addition(all_447_1_355, all_447_0_354) = all_5_2_11
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (350) with all_449_0_356 yields:
% 41.76/11.81 | (473) addition(all_57_1_45, all_449_0_356) = all_0_3_3 & addition(all_13_1_19, all_75_0_60) = all_449_0_356
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (473) yields:
% 41.76/11.81 | (474) addition(all_57_1_45, all_449_0_356) = all_0_3_3
% 41.76/11.81 | (475) addition(all_13_1_19, all_75_0_60) = all_449_0_356
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (366) with all_455_0_359, all_455_1_360 yields:
% 41.76/11.81 | (476) multiplication(all_0_3_3, all_113_0_99) = all_455_0_359 & multiplication(all_0_3_3, one) = all_455_1_360 & addition(all_455_1_360, all_455_0_359) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (476) yields:
% 41.76/11.81 | (477) multiplication(all_0_3_3, all_113_0_99) = all_455_0_359
% 41.76/11.81 | (478) multiplication(all_0_3_3, one) = all_455_1_360
% 41.76/11.81 | (479) addition(all_455_1_360, all_455_0_359) = all_0_2_2
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (342) with all_485_0_384, all_485_1_385, all_485_2_386, all_485_3_387 yields:
% 41.76/11.81 | (480) star(all_0_4_4) = all_485_2_386 & leq(all_485_1_385, all_17_0_22) = all_485_0_384 & leq(all_13_1_19, all_17_0_22) = all_485_3_387 & multiplication(all_485_2_386, all_13_1_19) = all_485_1_385 & ( ~ (all_485_3_387 = 0) | all_485_0_384 = 0)
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (480) yields:
% 41.76/11.81 | (481) ~ (all_485_3_387 = 0) | all_485_0_384 = 0
% 41.76/11.81 | (482) leq(all_485_1_385, all_17_0_22) = all_485_0_384
% 41.76/11.81 | (483) leq(all_13_1_19, all_17_0_22) = all_485_3_387
% 41.76/11.81 | (484) multiplication(all_485_2_386, all_13_1_19) = all_485_1_385
% 41.76/11.81 | (485) star(all_0_4_4) = all_485_2_386
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (331) with all_527_0_420, all_527_1_421, all_527_2_422, all_527_3_423 yields:
% 41.76/11.81 | (486) star(all_17_0_22) = all_527_2_422 & leq(all_527_1_421, all_0_3_3) = all_527_0_420 & leq(all_0_2_2, all_0_3_3) = all_527_3_423 & multiplication(all_0_2_2, all_527_2_422) = all_527_1_421 & ( ~ (all_527_3_423 = 0) | all_527_0_420 = 0)
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (486) yields:
% 41.76/11.81 | (487) leq(all_527_1_421, all_0_3_3) = all_527_0_420
% 41.76/11.81 | (488) star(all_17_0_22) = all_527_2_422
% 41.76/11.81 | (489) leq(all_0_2_2, all_0_3_3) = all_527_3_423
% 41.76/11.81 | (490) multiplication(all_0_2_2, all_527_2_422) = all_527_1_421
% 41.76/11.81 | (491) ~ (all_527_3_423 = 0) | all_527_0_420 = 0
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (363) with all_559_0_448, all_559_1_449 yields:
% 41.76/11.81 | (492) multiplication(all_115_0_100, one) = all_559_0_448 & multiplication(one, one) = all_559_1_449 & addition(all_559_1_449, all_559_0_448) = all_5_2_11
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (492) yields:
% 41.76/11.81 | (493) multiplication(all_115_0_100, one) = all_559_0_448
% 41.76/11.81 | (494) multiplication(one, one) = all_559_1_449
% 41.76/11.81 | (495) addition(all_559_1_449, all_559_0_448) = all_5_2_11
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (332) with all_577_0_464, all_577_1_465, all_577_2_466, all_577_3_467 yields:
% 41.76/11.81 | (496) star(all_0_4_4) = all_577_2_466 & leq(all_577_1_465, all_13_0_18) = all_577_0_464 & leq(all_17_1_23, all_13_0_18) = all_577_3_467 & multiplication(all_17_1_23, all_577_2_466) = all_577_1_465 & ( ~ (all_577_3_467 = 0) | all_577_0_464 = 0)
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (496) yields:
% 41.76/11.81 | (497) leq(all_17_1_23, all_13_0_18) = all_577_3_467
% 41.76/11.81 | (498) star(all_0_4_4) = all_577_2_466
% 41.76/11.81 | (499) multiplication(all_17_1_23, all_577_2_466) = all_577_1_465
% 41.76/11.81 | (500) ~ (all_577_3_467 = 0) | all_577_0_464 = 0
% 41.76/11.81 | (501) leq(all_577_1_465, all_13_0_18) = all_577_0_464
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (325) with all_589_0_476 yields:
% 41.76/11.81 | (502) multiplication(all_589_0_476, all_53_2_40) = all_53_2_40 & multiplication(one, one) = all_589_0_476
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (502) yields:
% 41.76/11.81 | (503) multiplication(all_589_0_476, all_53_2_40) = all_53_2_40
% 41.76/11.81 | (504) multiplication(one, one) = all_589_0_476
% 41.76/11.81 |
% 41.76/11.81 | Instantiating (324) with all_593_0_478 yields:
% 41.76/11.81 | (505) multiplication(all_593_0_478, all_81_2_68) = all_81_2_68 & multiplication(one, one) = all_593_0_478
% 41.76/11.81 |
% 41.76/11.81 | Applying alpha-rule on (505) yields:
% 41.76/11.81 | (506) multiplication(all_593_0_478, all_81_2_68) = all_81_2_68
% 41.76/11.82 | (507) multiplication(one, one) = all_593_0_478
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (323) with all_603_0_487, all_603_1_488 yields:
% 41.76/11.82 | (508) multiplication(all_13_0_18, one) = all_603_1_488 & multiplication(all_0_3_3, one) = all_603_0_487 & addition(all_603_1_488, all_603_0_487) = all_0_3_3
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (508) yields:
% 41.76/11.82 | (509) multiplication(all_13_0_18, one) = all_603_1_488
% 41.76/11.82 | (510) multiplication(all_0_3_3, one) = all_603_0_487
% 41.76/11.82 | (511) addition(all_603_1_488, all_603_0_487) = all_0_3_3
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (329) with all_655_0_532, all_655_1_533, all_655_2_534, all_655_3_535 yields:
% 41.76/11.82 | (512) star(all_17_0_22) = all_655_2_534 & leq(all_655_1_533, all_0_3_3) = all_655_0_532 & leq(all_0_2_2, all_0_3_3) = all_655_3_535 & multiplication(all_655_2_534, all_0_2_2) = all_655_1_533 & ( ~ (all_655_3_535 = 0) | all_655_0_532 = 0)
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (512) yields:
% 41.76/11.82 | (513) ~ (all_655_3_535 = 0) | all_655_0_532 = 0
% 41.76/11.82 | (514) leq(all_0_2_2, all_0_3_3) = all_655_3_535
% 41.76/11.82 | (515) leq(all_655_1_533, all_0_3_3) = all_655_0_532
% 41.76/11.82 | (516) star(all_17_0_22) = all_655_2_534
% 41.76/11.82 | (517) multiplication(all_655_2_534, all_0_2_2) = all_655_1_533
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (333) with all_707_0_583, all_707_1_584 yields:
% 41.76/11.82 | (518) multiplication(all_71_0_55, all_0_3_3) = all_707_1_584 & multiplication(all_0_3_3, all_0_3_3) = all_707_0_583 & addition(all_707_1_584, all_707_0_583) = all_0_2_2
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (518) yields:
% 41.76/11.82 | (519) multiplication(all_71_0_55, all_0_3_3) = all_707_1_584
% 41.76/11.82 | (520) multiplication(all_0_3_3, all_0_3_3) = all_707_0_583
% 41.76/11.82 | (521) addition(all_707_1_584, all_707_0_583) = all_0_2_2
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (335) with all_713_0_590, all_713_1_591 yields:
% 41.76/11.82 | (522) multiplication(all_71_0_55, one) = all_713_1_591 & multiplication(all_0_3_3, one) = all_713_0_590 & addition(all_713_1_591, all_713_0_590) = all_0_3_3
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (522) yields:
% 41.76/11.82 | (523) multiplication(all_71_0_55, one) = all_713_1_591
% 41.76/11.82 | (524) multiplication(all_0_3_3, one) = all_713_0_590
% 41.76/11.82 | (525) addition(all_713_1_591, all_713_0_590) = all_0_3_3
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (334) with all_719_0_596, all_719_1_597 yields:
% 41.76/11.82 | (526) multiplication(all_0_3_3, all_71_0_55) = all_719_1_597 & multiplication(all_0_3_3, all_0_3_3) = all_719_0_596 & addition(all_719_1_597, all_719_0_596) = all_0_2_2
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (526) yields:
% 41.76/11.82 | (527) multiplication(all_0_3_3, all_71_0_55) = all_719_1_597
% 41.76/11.82 | (528) multiplication(all_0_3_3, all_0_3_3) = all_719_0_596
% 41.76/11.82 | (529) addition(all_719_1_597, all_719_0_596) = all_0_2_2
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (315) with all_751_0_622 yields:
% 41.76/11.82 | (530) multiplication(all_5_2_11, all_751_0_622) = all_5_2_11 & multiplication(one, one) = all_751_0_622
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (530) yields:
% 41.76/11.82 | (531) multiplication(all_5_2_11, all_751_0_622) = all_5_2_11
% 41.76/11.82 | (532) multiplication(one, one) = all_751_0_622
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (340) with all_755_0_624, all_755_1_625 yields:
% 41.76/11.82 | (533) multiplication(all_61_0_48, one) = all_755_1_625 & multiplication(all_0_3_3, one) = all_755_0_624 & addition(all_755_1_625, all_755_0_624) = all_0_3_3
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (533) yields:
% 41.76/11.82 | (534) multiplication(all_61_0_48, one) = all_755_1_625
% 41.76/11.82 | (535) multiplication(all_0_3_3, one) = all_755_0_624
% 41.76/11.82 | (536) addition(all_755_1_625, all_755_0_624) = all_0_3_3
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (345) with all_787_0_649 yields:
% 41.76/11.82 | (537) addition(all_59_1_47, all_787_0_649) = all_0_3_3 & addition(all_17_1_23, all_75_0_60) = all_787_0_649
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (537) yields:
% 41.76/11.82 | (538) addition(all_59_1_47, all_787_0_649) = all_0_3_3
% 41.76/11.82 | (539) addition(all_17_1_23, all_75_0_60) = all_787_0_649
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (352) with all_833_0_681 yields:
% 41.76/11.82 | (540) addition(all_833_0_681, all_75_0_60) = all_63_0_49 & addition(all_13_1_19, all_13_1_19) = all_833_0_681
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (540) yields:
% 41.76/11.82 | (541) addition(all_833_0_681, all_75_0_60) = all_63_0_49
% 41.76/11.82 | (542) addition(all_13_1_19, all_13_1_19) = all_833_0_681
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (370) with all_863_0_701, all_863_1_702 yields:
% 41.76/11.82 | (543) multiplication(one, all_89_0_75) = all_863_0_701 & multiplication(one, one) = all_863_1_702 & addition(all_863_1_702, all_863_0_701) = all_5_2_11
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (543) yields:
% 41.76/11.82 | (544) multiplication(one, all_89_0_75) = all_863_0_701
% 41.76/11.82 | (545) multiplication(one, one) = all_863_1_702
% 41.76/11.82 | (546) addition(all_863_1_702, all_863_0_701) = all_5_2_11
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (369) with all_865_0_703, all_865_1_704 yields:
% 41.76/11.82 | (547) multiplication(all_89_0_75, one) = all_865_0_703 & multiplication(one, one) = all_865_1_704 & addition(all_865_1_704, all_865_0_703) = all_5_2_11
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (547) yields:
% 41.76/11.82 | (548) multiplication(all_89_0_75, one) = all_865_0_703
% 41.76/11.82 | (549) multiplication(one, one) = all_865_1_704
% 41.76/11.82 | (550) addition(all_865_1_704, all_865_0_703) = all_5_2_11
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (330) with all_873_0_708, all_873_1_709, all_873_2_710, all_873_3_711 yields:
% 41.76/11.82 | (551) star(all_13_0_18) = all_873_2_710 & leq(all_873_1_709, all_0_3_3) = all_873_0_708 & leq(all_0_2_2, all_0_3_3) = all_873_3_711 & multiplication(all_0_2_2, all_873_2_710) = all_873_1_709 & ( ~ (all_873_3_711 = 0) | all_873_0_708 = 0)
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (551) yields:
% 41.76/11.82 | (552) leq(all_873_1_709, all_0_3_3) = all_873_0_708
% 41.76/11.82 | (553) leq(all_0_2_2, all_0_3_3) = all_873_3_711
% 41.76/11.82 | (554) ~ (all_873_3_711 = 0) | all_873_0_708 = 0
% 41.76/11.82 | (555) star(all_13_0_18) = all_873_2_710
% 41.76/11.82 | (556) multiplication(all_0_2_2, all_873_2_710) = all_873_1_709
% 41.76/11.82 |
% 41.76/11.82 | Instantiating (337) with all_899_0_732, all_899_1_733, all_899_2_734, all_899_3_735 yields:
% 41.76/11.82 | (557) star(all_0_4_4) = all_899_2_734 & leq(all_899_1_733, all_13_0_18) = all_899_0_732 & leq(all_13_1_19, all_13_0_18) = all_899_3_735 & multiplication(all_899_2_734, all_13_1_19) = all_899_1_733 & ( ~ (all_899_3_735 = 0) | all_899_0_732 = 0)
% 41.76/11.82 |
% 41.76/11.82 | Applying alpha-rule on (557) yields:
% 41.76/11.82 | (558) leq(all_13_1_19, all_13_0_18) = all_899_3_735
% 41.86/11.82 | (559) multiplication(all_899_2_734, all_13_1_19) = all_899_1_733
% 41.86/11.82 | (560) leq(all_899_1_733, all_13_0_18) = all_899_0_732
% 41.86/11.82 | (561) star(all_0_4_4) = all_899_2_734
% 41.86/11.82 | (562) ~ (all_899_3_735 = 0) | all_899_0_732 = 0
% 41.86/11.82 |
% 41.86/11.82 | Instantiating (343) with all_939_0_764, all_939_1_765, all_939_2_766, all_939_3_767 yields:
% 41.86/11.82 | (563) star(all_0_4_4) = all_939_2_766 & leq(all_939_1_765, all_0_3_3) = all_939_0_764 & leq(all_0_3_3, all_0_3_3) = all_939_3_767 & multiplication(all_75_0_60, all_939_2_766) = all_939_1_765 & ( ~ (all_939_3_767 = 0) | all_939_0_764 = 0)
% 41.86/11.82 |
% 41.86/11.82 | Applying alpha-rule on (563) yields:
% 41.86/11.82 | (564) multiplication(all_75_0_60, all_939_2_766) = all_939_1_765
% 41.86/11.82 | (565) leq(all_0_3_3, all_0_3_3) = all_939_3_767
% 41.86/11.82 | (566) ~ (all_939_3_767 = 0) | all_939_0_764 = 0
% 41.86/11.82 | (567) leq(all_939_1_765, all_0_3_3) = all_939_0_764
% 41.86/11.82 | (568) star(all_0_4_4) = all_939_2_766
% 41.86/11.82 |
% 41.86/11.82 | Instantiating (347) with all_973_0_795 yields:
% 41.86/11.82 | (569) addition(all_973_0_795, all_75_0_60) = all_113_0_99 & addition(all_17_1_23, all_17_1_23) = all_973_0_795
% 41.86/11.82 |
% 41.86/11.82 | Applying alpha-rule on (569) yields:
% 41.86/11.82 | (570) addition(all_973_0_795, all_75_0_60) = all_113_0_99
% 41.86/11.82 | (571) addition(all_17_1_23, all_17_1_23) = all_973_0_795
% 41.86/11.82 |
% 41.86/11.82 | Instantiating (344) with all_1079_0_885 yields:
% 41.86/11.82 | (572) addition(all_83_1_71, all_1079_0_885) = all_0_3_3 & addition(all_17_1_23, all_75_0_60) = all_1079_0_885
% 41.86/11.82 |
% 41.86/11.82 | Applying alpha-rule on (572) yields:
% 41.86/11.82 | (573) addition(all_83_1_71, all_1079_0_885) = all_0_3_3
% 41.86/11.82 | (574) addition(all_17_1_23, all_75_0_60) = all_1079_0_885
% 41.86/11.82 |
% 41.86/11.82 | Instantiating (346) with all_1107_0_904, all_1107_1_905, all_1107_2_906, all_1107_3_907 yields:
% 41.86/11.82 | (575) star(all_0_4_4) = all_1107_2_906 & leq(all_1107_1_905, all_0_3_3) = all_1107_0_904 & leq(all_113_0_99, all_0_3_3) = all_1107_3_907 & multiplication(all_0_3_3, all_1107_2_906) = all_1107_1_905 & ( ~ (all_1107_3_907 = 0) | all_1107_0_904 = 0)
% 41.86/11.82 |
% 41.86/11.82 | Applying alpha-rule on (575) yields:
% 41.86/11.82 | (576) ~ (all_1107_3_907 = 0) | all_1107_0_904 = 0
% 41.86/11.82 | (577) leq(all_113_0_99, all_0_3_3) = all_1107_3_907
% 41.86/11.82 | (578) leq(all_1107_1_905, all_0_3_3) = all_1107_0_904
% 41.86/11.82 | (579) multiplication(all_0_3_3, all_1107_2_906) = all_1107_1_905
% 41.86/11.82 | (580) star(all_0_4_4) = all_1107_2_906
% 41.86/11.82 |
% 41.86/11.82 | Instantiating (376) with all_1109_0_908 yields:
% 41.86/11.82 | (581) addition(all_1109_0_908, all_89_0_75) = all_69_0_54 & addition(one, one) = all_1109_0_908
% 41.86/11.82 |
% 41.86/11.82 | Applying alpha-rule on (581) yields:
% 41.86/11.82 | (582) addition(all_1109_0_908, all_89_0_75) = all_69_0_54
% 41.86/11.82 | (583) addition(one, one) = all_1109_0_908
% 41.86/11.82 |
% 41.86/11.82 | Instantiating (375) with all_1111_0_909 yields:
% 41.86/11.82 | (584) addition(all_1111_0_909, all_115_0_100) = all_69_0_54 & addition(one, one) = all_1111_0_909
% 41.86/11.82 |
% 41.86/11.82 | Applying alpha-rule on (584) yields:
% 41.86/11.82 | (585) addition(all_1111_0_909, all_115_0_100) = all_69_0_54
% 41.86/11.82 | (586) addition(one, one) = all_1111_0_909
% 41.86/11.82 |
% 41.86/11.82 | Instantiating (368) with all_1127_0_917, all_1127_1_918 yields:
% 41.86/11.82 | (587) multiplication(one, all_113_0_99) = all_1127_0_917 & multiplication(one, one) = all_1127_1_918 & addition(all_1127_1_918, all_1127_0_917) = all_0_3_3
% 41.86/11.82 |
% 41.86/11.82 | Applying alpha-rule on (587) yields:
% 41.86/11.82 | (588) multiplication(one, all_113_0_99) = all_1127_0_917
% 41.86/11.82 | (589) multiplication(one, one) = all_1127_1_918
% 41.86/11.82 | (590) addition(all_1127_1_918, all_1127_0_917) = all_0_3_3
% 41.86/11.82 |
% 41.86/11.82 | Instantiating (341) with all_1139_0_924, all_1139_1_925, all_1139_2_926, all_1139_3_927 yields:
% 41.86/11.83 | (591) star(all_0_4_4) = all_1139_2_926 & leq(all_1139_1_925, all_17_0_22) = all_1139_0_924 & leq(all_17_1_23, all_17_0_22) = all_1139_3_927 & multiplication(all_17_1_23, all_1139_2_926) = all_1139_1_925 & ( ~ (all_1139_3_927 = 0) | all_1139_0_924 = 0)
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (591) yields:
% 41.86/11.83 | (592) leq(all_1139_1_925, all_17_0_22) = all_1139_0_924
% 41.86/11.83 | (593) ~ (all_1139_3_927 = 0) | all_1139_0_924 = 0
% 41.86/11.83 | (594) multiplication(all_17_1_23, all_1139_2_926) = all_1139_1_925
% 41.86/11.83 | (595) leq(all_17_1_23, all_17_0_22) = all_1139_3_927
% 41.86/11.83 | (596) star(all_0_4_4) = all_1139_2_926
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (339) with all_1157_0_942, all_1157_1_943 yields:
% 41.86/11.83 | (597) multiplication(all_0_3_3, all_61_0_48) = all_1157_1_943 & multiplication(all_0_3_3, all_0_3_3) = all_1157_0_942 & addition(all_1157_1_943, all_1157_0_942) = all_0_2_2
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (597) yields:
% 41.86/11.83 | (598) multiplication(all_0_3_3, all_61_0_48) = all_1157_1_943
% 41.86/11.83 | (599) multiplication(all_0_3_3, all_0_3_3) = all_1157_0_942
% 41.86/11.83 | (600) addition(all_1157_1_943, all_1157_0_942) = all_0_2_2
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (338) with all_1159_0_944, all_1159_1_945 yields:
% 41.86/11.83 | (601) multiplication(all_61_0_48, all_0_3_3) = all_1159_1_945 & multiplication(all_0_3_3, all_0_3_3) = all_1159_0_944 & addition(all_1159_1_945, all_1159_0_944) = all_0_2_2
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (601) yields:
% 41.86/11.83 | (602) multiplication(all_61_0_48, all_0_3_3) = all_1159_1_945
% 41.86/11.83 | (603) multiplication(all_0_3_3, all_0_3_3) = all_1159_0_944
% 41.86/11.83 | (604) addition(all_1159_1_945, all_1159_0_944) = all_0_2_2
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (358) with all_1173_0_955, all_1173_1_956 yields:
% 41.86/11.83 | (605) multiplication(all_13_0_18, all_0_3_3) = all_1173_0_955 & multiplication(all_0_3_3, all_0_3_3) = all_1173_1_956 & addition(all_1173_1_956, all_1173_0_955) = all_0_2_2
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (605) yields:
% 41.86/11.83 | (606) multiplication(all_13_0_18, all_0_3_3) = all_1173_0_955
% 41.86/11.83 | (607) multiplication(all_0_3_3, all_0_3_3) = all_1173_1_956
% 41.86/11.83 | (608) addition(all_1173_1_956, all_1173_0_955) = all_0_2_2
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (355) with all_1183_0_967, all_1183_1_968, all_1183_2_969, all_1183_3_970 yields:
% 41.86/11.83 | (609) star(one) = all_1183_2_969 & leq(all_1183_1_968, all_0_3_3) = all_1183_0_967 & leq(all_0_3_3, all_0_3_3) = all_1183_3_970 & multiplication(all_17_0_22, all_1183_2_969) = all_1183_1_968 & ( ~ (all_1183_3_970 = 0) | all_1183_0_967 = 0)
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (609) yields:
% 41.86/11.83 | (610) multiplication(all_17_0_22, all_1183_2_969) = all_1183_1_968
% 41.86/11.83 | (611) leq(all_1183_1_968, all_0_3_3) = all_1183_0_967
% 41.86/11.83 | (612) leq(all_0_3_3, all_0_3_3) = all_1183_3_970
% 41.86/11.83 | (613) star(one) = all_1183_2_969
% 41.86/11.83 | (614) ~ (all_1183_3_970 = 0) | all_1183_0_967 = 0
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (356) with all_1185_0_971, all_1185_1_972 yields:
% 41.86/11.83 | (615) multiplication(all_17_0_22, one) = all_1185_0_971 & multiplication(all_0_3_3, one) = all_1185_1_972 & addition(all_1185_1_972, all_1185_0_971) = all_0_3_3
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (615) yields:
% 41.86/11.83 | (616) multiplication(all_17_0_22, one) = all_1185_0_971
% 41.86/11.83 | (617) multiplication(all_0_3_3, one) = all_1185_1_972
% 41.86/11.83 | (618) addition(all_1185_1_972, all_1185_0_971) = all_0_3_3
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (362) with all_1189_0_974, all_1189_1_975, all_1189_2_976, all_1189_3_977 yields:
% 41.86/11.83 | (619) star(one) = all_1189_2_976 & leq(all_1189_1_975, all_0_3_3) = all_1189_0_974 & leq(all_0_3_3, all_0_3_3) = all_1189_3_977 & multiplication(all_1189_2_976, all_13_0_18) = all_1189_1_975 & ( ~ (all_1189_3_977 = 0) | all_1189_0_974 = 0)
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (619) yields:
% 41.86/11.83 | (620) leq(all_0_3_3, all_0_3_3) = all_1189_3_977
% 41.86/11.83 | (621) star(one) = all_1189_2_976
% 41.86/11.83 | (622) multiplication(all_1189_2_976, all_13_0_18) = all_1189_1_975
% 41.86/11.83 | (623) ~ (all_1189_3_977 = 0) | all_1189_0_974 = 0
% 41.86/11.83 | (624) leq(all_1189_1_975, all_0_3_3) = all_1189_0_974
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (359) with all_1197_0_986, all_1197_1_987 yields:
% 41.86/11.83 | (625) multiplication(all_0_3_3, all_13_0_18) = all_1197_0_986 & multiplication(all_0_3_3, all_0_3_3) = all_1197_1_987 & addition(all_1197_1_987, all_1197_0_986) = all_0_2_2
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (625) yields:
% 41.86/11.83 | (626) multiplication(all_0_3_3, all_13_0_18) = all_1197_0_986
% 41.86/11.83 | (627) multiplication(all_0_3_3, all_0_3_3) = all_1197_1_987
% 41.86/11.83 | (628) addition(all_1197_1_987, all_1197_0_986) = all_0_2_2
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (361) with all_1201_0_989, all_1201_1_990 yields:
% 41.86/11.83 | (629) multiplication(all_13_0_18, one) = all_1201_0_989 & multiplication(all_0_3_3, one) = all_1201_1_990 & addition(all_1201_1_990, all_1201_0_989) = all_0_3_3
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (629) yields:
% 41.86/11.83 | (630) multiplication(all_13_0_18, one) = all_1201_0_989
% 41.86/11.83 | (631) multiplication(all_0_3_3, one) = all_1201_1_990
% 41.86/11.83 | (632) addition(all_1201_1_990, all_1201_0_989) = all_0_3_3
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (336) with all_1219_0_1007, all_1219_1_1008, all_1219_2_1009, all_1219_3_1010 yields:
% 41.86/11.83 | (633) star(all_13_0_18) = all_1219_2_1009 & leq(all_1219_1_1008, all_0_3_3) = all_1219_0_1007 & leq(all_0_2_2, all_0_3_3) = all_1219_3_1010 & multiplication(all_1219_2_1009, all_0_2_2) = all_1219_1_1008 & ( ~ (all_1219_3_1010 = 0) | all_1219_0_1007 = 0)
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (633) yields:
% 41.86/11.83 | (634) ~ (all_1219_3_1010 = 0) | all_1219_0_1007 = 0
% 41.86/11.83 | (635) leq(all_1219_1_1008, all_0_3_3) = all_1219_0_1007
% 41.86/11.83 | (636) star(all_13_0_18) = all_1219_2_1009
% 41.86/11.83 | (637) leq(all_0_2_2, all_0_3_3) = all_1219_3_1010
% 41.86/11.83 | (638) multiplication(all_1219_2_1009, all_0_2_2) = all_1219_1_1008
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (360) with all_1225_0_1016, all_1225_1_1017, all_1225_2_1018, all_1225_3_1019 yields:
% 41.86/11.83 | (639) star(one) = all_1225_2_1018 & leq(all_1225_1_1017, all_0_3_3) = all_1225_0_1016 & leq(all_0_3_3, all_0_3_3) = all_1225_3_1019 & multiplication(all_13_0_18, all_1225_2_1018) = all_1225_1_1017 & ( ~ (all_1225_3_1019 = 0) | all_1225_0_1016 = 0)
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (639) yields:
% 41.86/11.83 | (640) star(one) = all_1225_2_1018
% 41.86/11.83 | (641) ~ (all_1225_3_1019 = 0) | all_1225_0_1016 = 0
% 41.86/11.83 | (642) multiplication(all_13_0_18, all_1225_2_1018) = all_1225_1_1017
% 41.86/11.83 | (643) leq(all_1225_1_1017, all_0_3_3) = all_1225_0_1016
% 41.86/11.83 | (644) leq(all_0_3_3, all_0_3_3) = all_1225_3_1019
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (357) with all_1235_0_1025, all_1235_1_1026, all_1235_2_1027, all_1235_3_1028 yields:
% 41.86/11.83 | (645) star(one) = all_1235_2_1027 & leq(all_1235_1_1026, all_0_3_3) = all_1235_0_1025 & leq(all_0_3_3, all_0_3_3) = all_1235_3_1028 & multiplication(all_1235_2_1027, all_17_0_22) = all_1235_1_1026 & ( ~ (all_1235_3_1028 = 0) | all_1235_0_1025 = 0)
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (645) yields:
% 41.86/11.83 | (646) leq(all_1235_1_1026, all_0_3_3) = all_1235_0_1025
% 41.86/11.83 | (647) star(one) = all_1235_2_1027
% 41.86/11.83 | (648) leq(all_0_3_3, all_0_3_3) = all_1235_3_1028
% 41.86/11.83 | (649) ~ (all_1235_3_1028 = 0) | all_1235_0_1025 = 0
% 41.86/11.83 | (650) multiplication(all_1235_2_1027, all_17_0_22) = all_1235_1_1026
% 41.86/11.83 |
% 41.86/11.83 | Instantiating (367) with all_1237_0_1029, all_1237_1_1030 yields:
% 41.86/11.83 | (651) multiplication(all_113_0_99, one) = all_1237_0_1029 & multiplication(one, one) = all_1237_1_1030 & addition(all_1237_1_1030, all_1237_0_1029) = all_0_3_3
% 41.86/11.83 |
% 41.86/11.83 | Applying alpha-rule on (651) yields:
% 41.86/11.83 | (652) multiplication(all_113_0_99, one) = all_1237_0_1029
% 41.86/11.83 | (653) multiplication(one, one) = all_1237_1_1030
% 41.86/11.83 | (654) addition(all_1237_1_1030, all_1237_0_1029) = all_0_3_3
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (20) with all_0_4_4, all_939_2_766, all_1107_2_906 and discharging atoms star(all_0_4_4) = all_1107_2_906, star(all_0_4_4) = all_939_2_766, yields:
% 41.86/11.83 | (655) all_1107_2_906 = all_939_2_766
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (20) with all_0_4_4, all_899_2_734, all_1139_2_926 and discharging atoms star(all_0_4_4) = all_1139_2_926, star(all_0_4_4) = all_899_2_734, yields:
% 41.86/11.83 | (656) all_1139_2_926 = all_899_2_734
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (20) with all_0_4_4, all_577_2_466, all_1139_2_926 and discharging atoms star(all_0_4_4) = all_1139_2_926, star(all_0_4_4) = all_577_2_466, yields:
% 41.86/11.83 | (657) all_1139_2_926 = all_577_2_466
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (20) with all_0_4_4, all_485_2_386, all_0_3_3 and discharging atoms star(all_0_4_4) = all_485_2_386, star(all_0_4_4) = all_0_3_3, yields:
% 41.86/11.83 | (658) all_485_2_386 = all_0_3_3
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (20) with all_0_4_4, all_485_2_386, all_939_2_766 and discharging atoms star(all_0_4_4) = all_939_2_766, star(all_0_4_4) = all_485_2_386, yields:
% 41.86/11.83 | (659) all_939_2_766 = all_485_2_386
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (20) with all_0_4_4, all_485_2_386, all_899_2_734 and discharging atoms star(all_0_4_4) = all_899_2_734, star(all_0_4_4) = all_485_2_386, yields:
% 41.86/11.83 | (660) all_899_2_734 = all_485_2_386
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (20) with all_0_4_4, all_425_2_341, all_1107_2_906 and discharging atoms star(all_0_4_4) = all_1107_2_906, star(all_0_4_4) = all_425_2_341, yields:
% 41.86/11.83 | (661) all_1107_2_906 = all_425_2_341
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (20) with all_0_4_4, all_219_2_163, all_899_2_734 and discharging atoms star(all_0_4_4) = all_899_2_734, star(all_0_4_4) = all_219_2_163, yields:
% 41.86/11.83 | (662) all_899_2_734 = all_219_2_163
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_2_2, all_0_3_3, all_873_3_711, all_1219_3_1010 and discharging atoms leq(all_0_2_2, all_0_3_3) = all_1219_3_1010, leq(all_0_2_2, all_0_3_3) = all_873_3_711, yields:
% 41.86/11.83 | (663) all_1219_3_1010 = all_873_3_711
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_2_2, all_0_3_3, all_655_3_535, all_0_1_1 and discharging atoms leq(all_0_2_2, all_0_3_3) = all_655_3_535, leq(all_0_2_2, all_0_3_3) = all_0_1_1, yields:
% 41.86/11.83 | (664) all_655_3_535 = all_0_1_1
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_2_2, all_0_3_3, all_655_3_535, all_873_3_711 and discharging atoms leq(all_0_2_2, all_0_3_3) = all_873_3_711, leq(all_0_2_2, all_0_3_3) = all_655_3_535, yields:
% 41.86/11.83 | (665) all_873_3_711 = all_655_3_535
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_2_2, all_0_3_3, all_527_3_423, all_1219_3_1010 and discharging atoms leq(all_0_2_2, all_0_3_3) = all_1219_3_1010, leq(all_0_2_2, all_0_3_3) = all_527_3_423, yields:
% 41.86/11.83 | (666) all_1219_3_1010 = all_527_3_423
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_3_3, all_0_3_3, all_1225_3_1019, 0 and discharging atoms leq(all_0_3_3, all_0_3_3) = all_1225_3_1019, leq(all_0_3_3, all_0_3_3) = 0, yields:
% 41.86/11.83 | (667) all_1225_3_1019 = 0
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_3_3, all_0_3_3, all_1189_3_977, all_1235_3_1028 and discharging atoms leq(all_0_3_3, all_0_3_3) = all_1235_3_1028, leq(all_0_3_3, all_0_3_3) = all_1189_3_977, yields:
% 41.86/11.83 | (668) all_1235_3_1028 = all_1189_3_977
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_3_3, all_0_3_3, all_1183_3_970, all_1225_3_1019 and discharging atoms leq(all_0_3_3, all_0_3_3) = all_1225_3_1019, leq(all_0_3_3, all_0_3_3) = all_1183_3_970, yields:
% 41.86/11.83 | (669) all_1225_3_1019 = all_1183_3_970
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_3_3, all_0_3_3, all_1183_3_970, all_1189_3_977 and discharging atoms leq(all_0_3_3, all_0_3_3) = all_1189_3_977, leq(all_0_3_3, all_0_3_3) = all_1183_3_970, yields:
% 41.86/11.83 | (670) all_1189_3_977 = all_1183_3_970
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_3_3, all_0_3_3, all_939_3_767, all_1225_3_1019 and discharging atoms leq(all_0_3_3, all_0_3_3) = all_1225_3_1019, leq(all_0_3_3, all_0_3_3) = all_939_3_767, yields:
% 41.86/11.83 | (671) all_1225_3_1019 = all_939_3_767
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (15) with all_0_3_3, all_0_3_3, all_219_3_164, all_1235_3_1028 and discharging atoms leq(all_0_3_3, all_0_3_3) = all_1235_3_1028, leq(all_0_3_3, all_0_3_3) = all_219_3_164, yields:
% 41.86/11.83 | (672) all_1235_3_1028 = all_219_3_164
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_1173_1_956, all_1197_1_987 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1197_1_987, multiplication(all_0_3_3, all_0_3_3) = all_1173_1_956, yields:
% 41.86/11.83 | (673) all_1197_1_987 = all_1173_1_956
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_1157_0_942, all_1159_0_944 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1159_0_944, multiplication(all_0_3_3, all_0_3_3) = all_1157_0_942, yields:
% 41.86/11.83 | (674) all_1159_0_944 = all_1157_0_942
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_719_0_596, all_1197_1_987 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1197_1_987, multiplication(all_0_3_3, all_0_3_3) = all_719_0_596, yields:
% 41.86/11.83 | (675) all_1197_1_987 = all_719_0_596
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_719_0_596, all_1157_0_942 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1157_0_942, multiplication(all_0_3_3, all_0_3_3) = all_719_0_596, yields:
% 41.86/11.83 | (676) all_1157_0_942 = all_719_0_596
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_707_0_583, all_1197_1_987 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1197_1_987, multiplication(all_0_3_3, all_0_3_3) = all_707_0_583, yields:
% 41.86/11.83 | (677) all_1197_1_987 = all_707_0_583
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_293_1_239, all_1197_1_987 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1197_1_987, multiplication(all_0_3_3, all_0_3_3) = all_293_1_239, yields:
% 41.86/11.83 | (678) all_1197_1_987 = all_293_1_239
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_293_1_239, all_319_0_262 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_319_0_262, multiplication(all_0_3_3, all_0_3_3) = all_293_1_239, yields:
% 41.86/11.83 | (679) all_319_0_262 = all_293_1_239
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_291_1_237, all_1159_0_944 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1159_0_944, multiplication(all_0_3_3, all_0_3_3) = all_291_1_237, yields:
% 41.86/11.83 | (680) all_1159_0_944 = all_291_1_237
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_261_0_198, all_1173_1_956 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1173_1_956, multiplication(all_0_3_3, all_0_3_3) = all_261_0_198, yields:
% 41.86/11.83 | (681) all_1173_1_956 = all_261_0_198
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (16) with all_1185_1_972, all_0_3_3 and discharging atoms multiplication(all_0_3_3, one) = all_1185_1_972, yields:
% 41.86/11.83 | (682) all_1185_1_972 = all_0_3_3
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_755_0_624, all_1185_1_972 and discharging atoms multiplication(all_0_3_3, one) = all_1185_1_972, multiplication(all_0_3_3, one) = all_755_0_624, yields:
% 41.86/11.83 | (683) all_1185_1_972 = all_755_0_624
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_603_0_487, all_1201_1_990 and discharging atoms multiplication(all_0_3_3, one) = all_1201_1_990, multiplication(all_0_3_3, one) = all_603_0_487, yields:
% 41.86/11.83 | (684) all_1201_1_990 = all_603_0_487
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_455_1_360, all_713_0_590 and discharging atoms multiplication(all_0_3_3, one) = all_713_0_590, multiplication(all_0_3_3, one) = all_455_1_360, yields:
% 41.86/11.83 | (685) all_713_0_590 = all_455_1_360
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_455_1_360, all_603_0_487 and discharging atoms multiplication(all_0_3_3, one) = all_603_0_487, multiplication(all_0_3_3, one) = all_455_1_360, yields:
% 41.86/11.83 | (686) all_603_0_487 = all_455_1_360
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_327_0_267, all_713_0_590 and discharging atoms multiplication(all_0_3_3, one) = all_713_0_590, multiplication(all_0_3_3, one) = all_327_0_267, yields:
% 41.86/11.83 | (687) all_713_0_590 = all_327_0_267
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_325_1_266, all_1185_1_972 and discharging atoms multiplication(all_0_3_3, one) = all_1185_1_972, multiplication(all_0_3_3, one) = all_325_1_266, yields:
% 41.86/11.83 | (688) all_1185_1_972 = all_325_1_266
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_267_1_204, all_755_0_624 and discharging atoms multiplication(all_0_3_3, one) = all_755_0_624, multiplication(all_0_3_3, one) = all_267_1_204, yields:
% 41.86/11.83 | (689) all_755_0_624 = all_267_1_204
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_267_1_204, all_713_0_590 and discharging atoms multiplication(all_0_3_3, one) = all_713_0_590, multiplication(all_0_3_3, one) = all_267_1_204, yields:
% 41.86/11.83 | (690) all_713_0_590 = all_267_1_204
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_255_0_193, all_755_0_624 and discharging atoms multiplication(all_0_3_3, one) = all_755_0_624, multiplication(all_0_3_3, one) = all_255_0_193, yields:
% 41.86/11.83 | (691) all_755_0_624 = all_255_0_193
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_251_0_190, all_1185_1_972 and discharging atoms multiplication(all_0_3_3, one) = all_1185_1_972, multiplication(all_0_3_3, one) = all_251_0_190, yields:
% 41.86/11.83 | (692) all_1185_1_972 = all_251_0_190
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with all_0_3_3, one, all_167_1_121, all_1201_1_990 and discharging atoms multiplication(all_0_3_3, one) = all_1201_1_990, multiplication(all_0_3_3, one) = all_167_1_121, yields:
% 41.86/11.83 | (693) all_1201_1_990 = all_167_1_121
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (26) with all_0_2_2, all_319_0_262 and discharging atoms multiplication(one, all_319_0_262) = all_0_2_2, yields:
% 41.86/11.83 | (694) all_319_0_262 = all_0_2_2
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (26) with all_163_0_116, all_63_0_49 and discharging atoms multiplication(one, all_63_0_49) = all_163_0_116, yields:
% 41.86/11.83 | (695) all_163_0_116 = all_63_0_49
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with one, one, all_751_0_622, all_863_1_702 and discharging atoms multiplication(one, one) = all_863_1_702, multiplication(one, one) = all_751_0_622, yields:
% 41.86/11.83 | (696) all_863_1_702 = all_751_0_622
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with one, one, all_593_0_478, all_751_0_622 and discharging atoms multiplication(one, one) = all_751_0_622, multiplication(one, one) = all_593_0_478, yields:
% 41.86/11.83 | (697) all_751_0_622 = all_593_0_478
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with one, one, all_589_0_476, all_593_0_478 and discharging atoms multiplication(one, one) = all_593_0_478, multiplication(one, one) = all_589_0_476, yields:
% 41.86/11.83 | (698) all_593_0_478 = all_589_0_476
% 41.86/11.83 |
% 41.86/11.83 | Instantiating formula (32) with one, one, all_559_1_449, all_593_0_478 and discharging atoms multiplication(one, one) = all_593_0_478, multiplication(one, one) = all_559_1_449, yields:
% 41.86/11.84 | (699) all_593_0_478 = all_559_1_449
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_447_1_355, all_1237_1_1030 and discharging atoms multiplication(one, one) = all_1237_1_1030, multiplication(one, one) = all_447_1_355, yields:
% 41.86/11.84 | (700) all_1237_1_1030 = all_447_1_355
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_447_1_355, all_559_1_449 and discharging atoms multiplication(one, one) = all_559_1_449, multiplication(one, one) = all_447_1_355, yields:
% 41.86/11.84 | (701) all_559_1_449 = all_447_1_355
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_421_0_337, all_1237_1_1030 and discharging atoms multiplication(one, one) = all_1237_1_1030, multiplication(one, one) = all_421_0_337, yields:
% 41.86/11.84 | (702) all_1237_1_1030 = all_421_0_337
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_419_0_336, all_1127_1_918 and discharging atoms multiplication(one, one) = all_1127_1_918, multiplication(one, one) = all_419_0_336, yields:
% 41.86/11.84 | (703) all_1127_1_918 = all_419_0_336
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_403_0_325, all_1127_1_918 and discharging atoms multiplication(one, one) = all_1127_1_918, multiplication(one, one) = all_403_0_325, yields:
% 41.86/11.84 | (704) all_1127_1_918 = all_403_0_325
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (16) with all_403_0_325, one and discharging atoms multiplication(one, one) = all_403_0_325, yields:
% 41.86/11.84 | (705) all_403_0_325 = one
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_309_0_257, all_1127_1_918 and discharging atoms multiplication(one, one) = all_1127_1_918, multiplication(one, one) = all_309_0_257, yields:
% 41.86/11.84 | (706) all_1127_1_918 = all_309_0_257
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_309_0_257, all_865_1_704 and discharging atoms multiplication(one, one) = all_865_1_704, multiplication(one, one) = all_309_0_257, yields:
% 41.86/11.84 | (707) all_865_1_704 = all_309_0_257
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_309_0_257, all_447_1_355 and discharging atoms multiplication(one, one) = all_447_1_355, multiplication(one, one) = all_309_0_257, yields:
% 41.86/11.84 | (708) all_447_1_355 = all_309_0_257
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_253_0_192, all_863_1_702 and discharging atoms multiplication(one, one) = all_863_1_702, multiplication(one, one) = all_253_0_192, yields:
% 41.86/11.84 | (709) all_863_1_702 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_169_1_123, all_1127_1_918 and discharging atoms multiplication(one, one) = all_1127_1_918, multiplication(one, one) = all_169_1_123, yields:
% 41.86/11.84 | (710) all_1127_1_918 = all_169_1_123
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (32) with one, one, all_163_1_117, all_865_1_704 and discharging atoms multiplication(one, one) = all_865_1_704, multiplication(one, one) = all_163_1_117, yields:
% 41.86/11.84 | (711) all_865_1_704 = all_163_1_117
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (6) with all_17_1_23, all_75_0_60, all_1079_0_885, all_0_3_3 and discharging atoms addition(all_17_1_23, all_75_0_60) = all_1079_0_885, addition(all_17_1_23, all_75_0_60) = all_0_3_3, yields:
% 41.86/11.84 | (712) all_1079_0_885 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (6) with all_17_1_23, all_75_0_60, all_787_0_649, all_1079_0_885 and discharging atoms addition(all_17_1_23, all_75_0_60) = all_1079_0_885, addition(all_17_1_23, all_75_0_60) = all_787_0_649, yields:
% 41.86/11.84 | (713) all_1079_0_885 = all_787_0_649
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (4) with all_973_0_795, all_17_1_23 and discharging atoms addition(all_17_1_23, all_17_1_23) = all_973_0_795, yields:
% 41.86/11.84 | (714) all_973_0_795 = all_17_1_23
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (6) with all_13_1_19, all_75_0_60, all_449_0_356, all_0_3_3 and discharging atoms addition(all_13_1_19, all_75_0_60) = all_449_0_356, addition(all_13_1_19, all_75_0_60) = all_0_3_3, yields:
% 41.86/11.84 | (715) all_449_0_356 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (6) with all_13_1_19, all_75_0_60, all_435_0_348, all_449_0_356 and discharging atoms addition(all_13_1_19, all_75_0_60) = all_449_0_356, addition(all_13_1_19, all_75_0_60) = all_435_0_348, yields:
% 41.86/11.84 | (716) all_449_0_356 = all_435_0_348
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (4) with all_833_0_681, all_13_1_19 and discharging atoms addition(all_13_1_19, all_13_1_19) = all_833_0_681, yields:
% 41.86/11.84 | (717) all_833_0_681 = all_13_1_19
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (6) with one, one, all_1109_0_908, all_1111_0_909 and discharging atoms addition(one, one) = all_1111_0_909, addition(one, one) = all_1109_0_908, yields:
% 41.86/11.84 | (718) all_1111_0_909 = all_1109_0_908
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (4) with all_1109_0_908, one and discharging atoms addition(one, one) = all_1109_0_908, yields:
% 41.86/11.84 | (719) all_1109_0_908 = one
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (6) with one, one, all_161_0_115, all_1109_0_908 and discharging atoms addition(one, one) = all_1109_0_908, addition(one, one) = all_161_0_115, yields:
% 41.86/11.84 | (720) all_1109_0_908 = all_161_0_115
% 41.86/11.84 |
% 41.86/11.84 | Instantiating formula (6) with one, one, all_159_0_114, all_1111_0_909 and discharging atoms addition(one, one) = all_1111_0_909, addition(one, one) = all_159_0_114, yields:
% 41.86/11.84 | (721) all_1111_0_909 = all_159_0_114
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (700,702) yields a new equation:
% 41.86/11.84 | (722) all_447_1_355 = all_421_0_337
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 722 yields:
% 41.86/11.84 | (723) all_447_1_355 = all_421_0_337
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (668,672) yields a new equation:
% 41.86/11.84 | (724) all_1189_3_977 = all_219_3_164
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 724 yields:
% 41.86/11.84 | (725) all_1189_3_977 = all_219_3_164
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (669,671) yields a new equation:
% 41.86/11.84 | (726) all_1183_3_970 = all_939_3_767
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 726 yields:
% 41.86/11.84 | (727) all_1183_3_970 = all_939_3_767
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (667,671) yields a new equation:
% 41.86/11.84 | (728) all_939_3_767 = 0
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (663,666) yields a new equation:
% 41.86/11.84 | (729) all_873_3_711 = all_527_3_423
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 729 yields:
% 41.86/11.84 | (730) all_873_3_711 = all_527_3_423
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (684,693) yields a new equation:
% 41.86/11.84 | (731) all_603_0_487 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 731 yields:
% 41.86/11.84 | (732) all_603_0_487 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (675,677) yields a new equation:
% 41.86/11.84 | (733) all_719_0_596 = all_707_0_583
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 733 yields:
% 41.86/11.84 | (734) all_719_0_596 = all_707_0_583
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (678,677) yields a new equation:
% 41.86/11.84 | (735) all_707_0_583 = all_293_1_239
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (673,677) yields a new equation:
% 41.86/11.84 | (736) all_1173_1_956 = all_707_0_583
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 736 yields:
% 41.86/11.84 | (737) all_1173_1_956 = all_707_0_583
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (670,725) yields a new equation:
% 41.86/11.84 | (738) all_1183_3_970 = all_219_3_164
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 738 yields:
% 41.86/11.84 | (739) all_1183_3_970 = all_219_3_164
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (682,688) yields a new equation:
% 41.86/11.84 | (740) all_325_1_266 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (692,688) yields a new equation:
% 41.86/11.84 | (741) all_325_1_266 = all_251_0_190
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (683,688) yields a new equation:
% 41.86/11.84 | (742) all_755_0_624 = all_325_1_266
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 742 yields:
% 41.86/11.84 | (743) all_755_0_624 = all_325_1_266
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (727,739) yields a new equation:
% 41.86/11.84 | (744) all_939_3_767 = all_219_3_164
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 744 yields:
% 41.86/11.84 | (745) all_939_3_767 = all_219_3_164
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (737,681) yields a new equation:
% 41.86/11.84 | (746) all_707_0_583 = all_261_0_198
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 746 yields:
% 41.86/11.84 | (747) all_707_0_583 = all_261_0_198
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (674,680) yields a new equation:
% 41.86/11.84 | (748) all_1157_0_942 = all_291_1_237
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 748 yields:
% 41.86/11.84 | (749) all_1157_0_942 = all_291_1_237
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (676,749) yields a new equation:
% 41.86/11.84 | (750) all_719_0_596 = all_291_1_237
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 750 yields:
% 41.86/11.84 | (751) all_719_0_596 = all_291_1_237
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (656,657) yields a new equation:
% 41.86/11.84 | (752) all_899_2_734 = all_577_2_466
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 752 yields:
% 41.86/11.84 | (753) all_899_2_734 = all_577_2_466
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (710,703) yields a new equation:
% 41.86/11.84 | (754) all_419_0_336 = all_169_1_123
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (704,703) yields a new equation:
% 41.86/11.84 | (755) all_419_0_336 = all_403_0_325
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (706,703) yields a new equation:
% 41.86/11.84 | (756) all_419_0_336 = all_309_0_257
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (718,721) yields a new equation:
% 41.86/11.84 | (757) all_1109_0_908 = all_159_0_114
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 757 yields:
% 41.86/11.84 | (758) all_1109_0_908 = all_159_0_114
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (758,720) yields a new equation:
% 41.86/11.84 | (759) all_161_0_115 = all_159_0_114
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (719,720) yields a new equation:
% 41.86/11.84 | (760) all_161_0_115 = one
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (655,661) yields a new equation:
% 41.86/11.84 | (761) all_939_2_766 = all_425_2_341
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 761 yields:
% 41.86/11.84 | (762) all_939_2_766 = all_425_2_341
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (713,712) yields a new equation:
% 41.86/11.84 | (763) all_787_0_649 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 763 yields:
% 41.86/11.84 | (764) all_787_0_649 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (659,762) yields a new equation:
% 41.86/11.84 | (765) all_485_2_386 = all_425_2_341
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 765 yields:
% 41.86/11.84 | (766) all_485_2_386 = all_425_2_341
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (745,728) yields a new equation:
% 41.86/11.84 | (767) all_219_3_164 = 0
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 767 yields:
% 41.86/11.84 | (768) all_219_3_164 = 0
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (660,753) yields a new equation:
% 41.86/11.84 | (769) all_577_2_466 = all_485_2_386
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (662,753) yields a new equation:
% 41.86/11.84 | (770) all_577_2_466 = all_219_2_163
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (665,730) yields a new equation:
% 41.86/11.84 | (771) all_655_3_535 = all_527_3_423
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 771 yields:
% 41.86/11.84 | (772) all_655_3_535 = all_527_3_423
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (707,711) yields a new equation:
% 41.86/11.84 | (773) all_309_0_257 = all_163_1_117
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 773 yields:
% 41.86/11.84 | (774) all_309_0_257 = all_163_1_117
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (696,709) yields a new equation:
% 41.86/11.84 | (775) all_751_0_622 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 775 yields:
% 41.86/11.84 | (776) all_751_0_622 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (689,691) yields a new equation:
% 41.86/11.84 | (777) all_267_1_204 = all_255_0_193
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 777 yields:
% 41.86/11.84 | (778) all_267_1_204 = all_255_0_193
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (743,691) yields a new equation:
% 41.86/11.84 | (779) all_325_1_266 = all_255_0_193
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 779 yields:
% 41.86/11.84 | (780) all_325_1_266 = all_255_0_193
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (697,776) yields a new equation:
% 41.86/11.84 | (781) all_593_0_478 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 781 yields:
% 41.86/11.84 | (782) all_593_0_478 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (734,751) yields a new equation:
% 41.86/11.84 | (783) all_707_0_583 = all_291_1_237
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 783 yields:
% 41.86/11.84 | (784) all_707_0_583 = all_291_1_237
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (690,687) yields a new equation:
% 41.86/11.84 | (785) all_327_0_267 = all_267_1_204
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (685,687) yields a new equation:
% 41.86/11.84 | (786) all_455_1_360 = all_327_0_267
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 786 yields:
% 41.86/11.84 | (787) all_455_1_360 = all_327_0_267
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (735,784) yields a new equation:
% 41.86/11.84 | (788) all_293_1_239 = all_291_1_237
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 788 yields:
% 41.86/11.84 | (789) all_293_1_239 = all_291_1_237
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (747,784) yields a new equation:
% 41.86/11.84 | (790) all_291_1_237 = all_261_0_198
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (664,772) yields a new equation:
% 41.86/11.84 | (791) all_527_3_423 = all_0_1_1
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (686,732) yields a new equation:
% 41.86/11.84 | (792) all_455_1_360 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 792 yields:
% 41.86/11.84 | (793) all_455_1_360 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (699,698) yields a new equation:
% 41.86/11.84 | (794) all_589_0_476 = all_559_1_449
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (782,698) yields a new equation:
% 41.86/11.84 | (795) all_589_0_476 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (794,795) yields a new equation:
% 41.86/11.84 | (796) all_559_1_449 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 796 yields:
% 41.86/11.84 | (797) all_559_1_449 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (769,770) yields a new equation:
% 41.86/11.84 | (798) all_485_2_386 = all_219_2_163
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 798 yields:
% 41.86/11.84 | (799) all_485_2_386 = all_219_2_163
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (701,797) yields a new equation:
% 41.86/11.84 | (800) all_447_1_355 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 800 yields:
% 41.86/11.84 | (801) all_447_1_355 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (658,766) yields a new equation:
% 41.86/11.84 | (802) all_425_2_341 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (799,766) yields a new equation:
% 41.86/11.84 | (803) all_425_2_341 = all_219_2_163
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (787,793) yields a new equation:
% 41.86/11.84 | (804) all_327_0_267 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 804 yields:
% 41.86/11.84 | (805) all_327_0_267 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (716,715) yields a new equation:
% 41.86/11.84 | (806) all_435_0_348 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 806 yields:
% 41.86/11.84 | (807) all_435_0_348 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (708,723) yields a new equation:
% 41.86/11.84 | (808) all_421_0_337 = all_309_0_257
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (801,723) yields a new equation:
% 41.86/11.84 | (809) all_421_0_337 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (802,803) yields a new equation:
% 41.86/11.84 | (810) all_219_2_163 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (808,809) yields a new equation:
% 41.86/11.84 | (811) all_309_0_257 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 811 yields:
% 41.86/11.84 | (812) all_309_0_257 = all_253_0_192
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (756,754) yields a new equation:
% 41.86/11.84 | (813) all_309_0_257 = all_169_1_123
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 813 yields:
% 41.86/11.84 | (814) all_309_0_257 = all_169_1_123
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (755,754) yields a new equation:
% 41.86/11.84 | (815) all_403_0_325 = all_169_1_123
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 815 yields:
% 41.86/11.84 | (816) all_403_0_325 = all_169_1_123
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (816,705) yields a new equation:
% 41.86/11.84 | (817) all_169_1_123 = one
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 817 yields:
% 41.86/11.84 | (818) all_169_1_123 = one
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (785,805) yields a new equation:
% 41.86/11.84 | (819) all_267_1_204 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 819 yields:
% 41.86/11.84 | (820) all_267_1_204 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (780,741) yields a new equation:
% 41.86/11.84 | (821) all_255_0_193 = all_251_0_190
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 821 yields:
% 41.86/11.84 | (822) all_255_0_193 = all_251_0_190
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (740,741) yields a new equation:
% 41.86/11.84 | (823) all_251_0_190 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (679,694) yields a new equation:
% 41.86/11.84 | (824) all_293_1_239 = all_0_2_2
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 824 yields:
% 41.86/11.84 | (825) all_293_1_239 = all_0_2_2
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (774,812) yields a new equation:
% 41.86/11.84 | (826) all_253_0_192 = all_163_1_117
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (814,812) yields a new equation:
% 41.86/11.84 | (827) all_253_0_192 = all_169_1_123
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (789,825) yields a new equation:
% 41.86/11.84 | (828) all_291_1_237 = all_0_2_2
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 828 yields:
% 41.86/11.84 | (829) all_291_1_237 = all_0_2_2
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (790,829) yields a new equation:
% 41.86/11.84 | (830) all_261_0_198 = all_0_2_2
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 830 yields:
% 41.86/11.84 | (831) all_261_0_198 = all_0_2_2
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (778,820) yields a new equation:
% 41.86/11.84 | (832) all_255_0_193 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 832 yields:
% 41.86/11.84 | (833) all_255_0_193 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (822,833) yields a new equation:
% 41.86/11.84 | (834) all_251_0_190 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 834 yields:
% 41.86/11.84 | (835) all_251_0_190 = all_167_1_121
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (827,826) yields a new equation:
% 41.86/11.84 | (836) all_169_1_123 = all_163_1_117
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 836 yields:
% 41.86/11.84 | (837) all_169_1_123 = all_163_1_117
% 41.86/11.84 |
% 41.86/11.84 | Combining equations (835,823) yields a new equation:
% 41.86/11.84 | (838) all_167_1_121 = all_0_3_3
% 41.86/11.84 |
% 41.86/11.84 | Simplifying 838 yields:
% 41.86/11.84 | (839) all_167_1_121 = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (818,837) yields a new equation:
% 41.86/11.85 | (840) all_163_1_117 = one
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (759,760) yields a new equation:
% 41.86/11.85 | (841) all_159_0_114 = one
% 41.86/11.85 |
% 41.86/11.85 | Simplifying 841 yields:
% 41.86/11.85 | (842) all_159_0_114 = one
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (810,803) yields a new equation:
% 41.86/11.85 | (802) all_425_2_341 = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (802,762) yields a new equation:
% 41.86/11.85 | (844) all_939_2_766 = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (802,661) yields a new equation:
% 41.86/11.85 | (845) all_1107_2_906 = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | From (791) and (489) follows:
% 41.86/11.85 | (22) leq(all_0_2_2, all_0_3_3) = all_0_1_1
% 41.86/11.85 |
% 41.86/11.85 | From (768) and (406) follows:
% 41.86/11.85 | (312) leq(all_0_3_3, all_0_3_3) = 0
% 41.86/11.85 |
% 41.86/11.85 | From (802) and (464) follows:
% 41.86/11.85 | (848) multiplication(all_0_3_3, all_0_3_3) = all_425_1_340
% 41.86/11.85 |
% 41.86/11.85 | From (810) and (405) follows:
% 41.86/11.85 | (849) multiplication(all_0_3_3, all_75_0_60) = all_219_1_162
% 41.86/11.85 |
% 41.86/11.85 | From (844) and (564) follows:
% 41.86/11.85 | (850) multiplication(all_75_0_60, all_0_3_3) = all_939_1_765
% 41.86/11.85 |
% 41.86/11.85 | From (845) and (579) follows:
% 41.86/11.85 | (851) multiplication(all_0_3_3, all_0_3_3) = all_1107_1_905
% 41.86/11.85 |
% 41.86/11.85 | From (831) and (420) follows:
% 41.86/11.85 | (36) multiplication(all_0_3_3, all_0_3_3) = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | From (714) and (570) follows:
% 41.86/11.85 | (853) addition(all_17_1_23, all_75_0_60) = all_113_0_99
% 41.86/11.85 |
% 41.86/11.85 | From (717) and (541) follows:
% 41.86/11.85 | (854) addition(all_13_1_19, all_75_0_60) = all_63_0_49
% 41.86/11.85 |
% 41.86/11.85 | From (839) and (392) follows:
% 41.86/11.85 | (855) addition(all_0_3_3, all_167_0_120) = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | From (840)(695) and (388) follows:
% 41.86/11.85 | (136) addition(one, all_63_0_49) = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | From (842) and (380) follows:
% 41.86/11.85 | (857) addition(one, all_63_0_49) = all_75_0_60
% 41.86/11.85 |
% 41.86/11.85 | From (764) and (539) follows:
% 41.86/11.85 | (305) addition(all_17_1_23, all_75_0_60) = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | From (807) and (468) follows:
% 41.86/11.85 | (158) addition(all_13_1_19, all_75_0_60) = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_1107_1_905, all_0_2_2 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1107_1_905, multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, yields:
% 41.86/11.85 | (860) all_1107_1_905 = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_425_1_340, all_1107_1_905 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_1107_1_905, multiplication(all_0_3_3, all_0_3_3) = all_425_1_340, yields:
% 41.86/11.85 | (861) all_1107_1_905 = all_425_1_340
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (6) with all_17_1_23, all_75_0_60, all_113_0_99, all_0_3_3 and discharging atoms addition(all_17_1_23, all_75_0_60) = all_113_0_99, addition(all_17_1_23, all_75_0_60) = all_0_3_3, yields:
% 41.86/11.85 | (862) all_113_0_99 = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (6) with all_13_1_19, all_75_0_60, all_63_0_49, all_0_3_3 and discharging atoms addition(all_13_1_19, all_75_0_60) = all_63_0_49, addition(all_13_1_19, all_75_0_60) = all_0_3_3, yields:
% 41.86/11.85 | (863) all_63_0_49 = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (6) with one, all_63_0_49, all_75_0_60, all_0_3_3 and discharging atoms addition(one, all_63_0_49) = all_75_0_60, addition(one, all_63_0_49) = all_0_3_3, yields:
% 41.86/11.85 | (864) all_75_0_60 = all_0_3_3
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (860,861) yields a new equation:
% 41.86/11.85 | (865) all_425_1_340 = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (865,861) yields a new equation:
% 41.86/11.85 | (860) all_1107_1_905 = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | From (860) and (578) follows:
% 41.86/11.85 | (867) leq(all_0_2_2, all_0_3_3) = all_1107_0_904
% 41.86/11.85 |
% 41.86/11.85 | From (865) and (465) follows:
% 41.86/11.85 | (868) leq(all_0_2_2, all_0_3_3) = all_425_0_339
% 41.86/11.85 |
% 41.86/11.85 | From (862) and (577) follows:
% 41.86/11.85 | (869) leq(all_0_3_3, all_0_3_3) = all_1107_3_907
% 41.86/11.85 |
% 41.86/11.85 | From (862) and (451) follows:
% 41.86/11.85 | (870) multiplication(all_0_3_3, all_0_3_3) = all_417_0_334
% 41.86/11.85 |
% 41.86/11.85 | From (864) and (850) follows:
% 41.86/11.85 | (871) multiplication(all_0_3_3, all_0_3_3) = all_939_1_765
% 41.86/11.85 |
% 41.86/11.85 | From (863) and (398) follows:
% 41.86/11.85 | (872) multiplication(all_0_3_3, all_0_3_3) = all_171_0_124
% 41.86/11.85 |
% 41.86/11.85 | From (862) and (477) follows:
% 41.86/11.85 | (873) multiplication(all_0_3_3, all_0_3_3) = all_455_0_359
% 41.86/11.85 |
% 41.86/11.85 | From (864) and (849) follows:
% 41.86/11.85 | (874) multiplication(all_0_3_3, all_0_3_3) = all_219_1_162
% 41.86/11.85 |
% 41.86/11.85 | From (863) and (390) follows:
% 41.86/11.85 | (875) multiplication(all_0_3_3, all_0_3_3) = all_167_0_120
% 41.86/11.85 |
% 41.86/11.85 | From (865) and (848) follows:
% 41.86/11.85 | (36) multiplication(all_0_3_3, all_0_3_3) = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (15) with all_0_2_2, all_0_3_3, all_1107_0_904, all_0_1_1 and discharging atoms leq(all_0_2_2, all_0_3_3) = all_1107_0_904, leq(all_0_2_2, all_0_3_3) = all_0_1_1, yields:
% 41.86/11.85 | (877) all_1107_0_904 = all_0_1_1
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (15) with all_0_2_2, all_0_3_3, all_425_0_339, all_1107_0_904 and discharging atoms leq(all_0_2_2, all_0_3_3) = all_1107_0_904, leq(all_0_2_2, all_0_3_3) = all_425_0_339, yields:
% 41.86/11.85 | (878) all_1107_0_904 = all_425_0_339
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (15) with all_0_3_3, all_0_3_3, all_1107_3_907, 0 and discharging atoms leq(all_0_3_3, all_0_3_3) = all_1107_3_907, leq(all_0_3_3, all_0_3_3) = 0, yields:
% 41.86/11.85 | (879) all_1107_3_907 = 0
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_455_0_359, all_939_1_765 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_939_1_765, multiplication(all_0_3_3, all_0_3_3) = all_455_0_359, yields:
% 41.86/11.85 | (880) all_939_1_765 = all_455_0_359
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_417_0_334, all_0_2_2 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_417_0_334, multiplication(all_0_3_3, all_0_3_3) = all_0_2_2, yields:
% 41.86/11.85 | (881) all_417_0_334 = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_219_1_162, all_417_0_334 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_417_0_334, multiplication(all_0_3_3, all_0_3_3) = all_219_1_162, yields:
% 41.86/11.85 | (882) all_417_0_334 = all_219_1_162
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_171_0_124, all_455_0_359 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_455_0_359, multiplication(all_0_3_3, all_0_3_3) = all_171_0_124, yields:
% 41.86/11.85 | (883) all_455_0_359 = all_171_0_124
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_171_0_124, all_417_0_334 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_417_0_334, multiplication(all_0_3_3, all_0_3_3) = all_171_0_124, yields:
% 41.86/11.85 | (884) all_417_0_334 = all_171_0_124
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (32) with all_0_3_3, all_0_3_3, all_167_0_120, all_939_1_765 and discharging atoms multiplication(all_0_3_3, all_0_3_3) = all_939_1_765, multiplication(all_0_3_3, all_0_3_3) = all_167_0_120, yields:
% 41.86/11.85 | (885) all_939_1_765 = all_167_0_120
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (877,878) yields a new equation:
% 41.86/11.85 | (886) all_425_0_339 = all_0_1_1
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (880,885) yields a new equation:
% 41.86/11.85 | (887) all_455_0_359 = all_167_0_120
% 41.86/11.85 |
% 41.86/11.85 | Simplifying 887 yields:
% 41.86/11.85 | (888) all_455_0_359 = all_167_0_120
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (883,888) yields a new equation:
% 41.86/11.85 | (889) all_171_0_124 = all_167_0_120
% 41.86/11.85 |
% 41.86/11.85 | Simplifying 889 yields:
% 41.86/11.85 | (890) all_171_0_124 = all_167_0_120
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (884,882) yields a new equation:
% 41.86/11.85 | (891) all_219_1_162 = all_171_0_124
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (881,882) yields a new equation:
% 41.86/11.85 | (892) all_219_1_162 = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (891,892) yields a new equation:
% 41.86/11.85 | (893) all_171_0_124 = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | Simplifying 893 yields:
% 41.86/11.85 | (894) all_171_0_124 = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (894,890) yields a new equation:
% 41.86/11.85 | (895) all_167_0_120 = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (886,878) yields a new equation:
% 41.86/11.85 | (877) all_1107_0_904 = all_0_1_1
% 41.86/11.85 |
% 41.86/11.85 | From (895) and (855) follows:
% 41.86/11.85 | (897) addition(all_0_3_3, all_0_2_2) = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 +-Applying beta-rule and splitting (52), into two cases.
% 41.86/11.85 |-Branch one:
% 41.86/11.85 | (898) all_0_0_0 = 0
% 41.86/11.85 |
% 41.86/11.85 +-Applying beta-rule and splitting (24), into two cases.
% 41.86/11.85 |-Branch one:
% 41.86/11.85 | (899) ~ (all_0_0_0 = 0)
% 41.86/11.85 |
% 41.86/11.85 | Equations (898) can reduce 899 to:
% 41.86/11.85 | (309) $false
% 41.86/11.85 |
% 41.86/11.85 |-The branch is then unsatisfiable
% 41.86/11.85 |-Branch two:
% 41.86/11.85 | (898) all_0_0_0 = 0
% 41.86/11.85 | (902) ~ (all_0_1_1 = 0)
% 41.86/11.85 |
% 41.86/11.85 +-Applying beta-rule and splitting (53), into two cases.
% 41.86/11.85 |-Branch one:
% 41.86/11.85 | (903) all_0_1_1 = 0
% 41.86/11.85 |
% 41.86/11.85 | Equations (903) can reduce 902 to:
% 41.86/11.85 | (309) $false
% 41.86/11.85 |
% 41.86/11.85 |-The branch is then unsatisfiable
% 41.86/11.85 |-Branch two:
% 41.86/11.85 | (902) ~ (all_0_1_1 = 0)
% 41.86/11.85 | (906) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_0_3_3) = v2 & multiplication(all_0_3_3, all_0_4_4) = v0 & addition(v0, all_0_3_3) = v1)
% 41.86/11.85 |
% 41.86/11.85 +-Applying beta-rule and splitting (51), into two cases.
% 41.86/11.85 |-Branch one:
% 41.86/11.85 | (903) all_0_1_1 = 0
% 41.86/11.85 |
% 41.86/11.85 | Equations (903) can reduce 902 to:
% 41.86/11.85 | (309) $false
% 41.86/11.85 |
% 41.86/11.85 |-The branch is then unsatisfiable
% 41.86/11.85 |-Branch two:
% 41.86/11.85 | (902) ~ (all_0_1_1 = 0)
% 41.86/11.85 | (910) ? [v0] : ( ~ (v0 = all_0_3_3) & addition(all_0_2_2, all_0_3_3) = v0)
% 41.86/11.85 |
% 41.86/11.85 +-Applying beta-rule and splitting (576), into two cases.
% 41.86/11.85 |-Branch one:
% 41.86/11.85 | (911) ~ (all_1107_3_907 = 0)
% 41.86/11.85 |
% 41.86/11.85 | Equations (879) can reduce 911 to:
% 41.86/11.85 | (309) $false
% 41.86/11.85 |
% 41.86/11.85 |-The branch is then unsatisfiable
% 41.86/11.85 |-Branch two:
% 41.86/11.85 | (879) all_1107_3_907 = 0
% 41.86/11.85 | (914) all_1107_0_904 = 0
% 41.86/11.85 |
% 41.86/11.85 | Combining equations (877,914) yields a new equation:
% 41.86/11.85 | (915) all_0_1_1 = 0
% 41.86/11.85 |
% 41.86/11.85 | Simplifying 915 yields:
% 41.86/11.85 | (903) all_0_1_1 = 0
% 41.86/11.85 |
% 41.86/11.85 | Equations (903) can reduce 902 to:
% 41.86/11.85 | (309) $false
% 41.86/11.85 |
% 41.86/11.85 |-The branch is then unsatisfiable
% 41.86/11.85 |-Branch two:
% 41.86/11.85 | (899) ~ (all_0_0_0 = 0)
% 41.86/11.85 | (919) ? [v0] : ( ~ (v0 = all_0_2_2) & addition(all_0_3_3, all_0_2_2) = v0)
% 41.86/11.85 |
% 41.86/11.85 | Instantiating (919) with all_1319_0_1042 yields:
% 41.86/11.85 | (920) ~ (all_1319_0_1042 = all_0_2_2) & addition(all_0_3_3, all_0_2_2) = all_1319_0_1042
% 41.86/11.85 |
% 41.86/11.85 | Applying alpha-rule on (920) yields:
% 41.86/11.85 | (921) ~ (all_1319_0_1042 = all_0_2_2)
% 41.86/11.85 | (922) addition(all_0_3_3, all_0_2_2) = all_1319_0_1042
% 41.86/11.85 |
% 41.86/11.85 | Instantiating formula (6) with all_0_3_3, all_0_2_2, all_0_2_2, all_1319_0_1042 and discharging atoms addition(all_0_3_3, all_0_2_2) = all_1319_0_1042, addition(all_0_3_3, all_0_2_2) = all_0_2_2, yields:
% 41.86/11.85 | (923) all_1319_0_1042 = all_0_2_2
% 41.86/11.85 |
% 41.86/11.85 | Equations (923) can reduce 921 to:
% 41.86/11.85 | (309) $false
% 41.86/11.85 |
% 41.86/11.85 |-The branch is then unsatisfiable
% 41.86/11.86 % SZS output end Proof for theBenchmark
% 41.86/11.86
% 41.86/11.86 11230ms
%------------------------------------------------------------------------------