TSTP Solution File: KLE159+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KLE159+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 01:51:40 EDT 2022
% Result : Theorem 32.05s 9.48s
% Output : Proof 49.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE159+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 14:04:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.49/0.59 ____ _
% 0.49/0.59 ___ / __ \_____(_)___ ________ __________
% 0.49/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.49/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.49/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.49/0.59
% 0.49/0.59 A Theorem Prover for First-Order Logic
% 0.49/0.59 (ePrincess v.1.0)
% 0.49/0.59
% 0.49/0.59 (c) Philipp Rümmer, 2009-2015
% 0.49/0.59 (c) Peter Backeman, 2014-2015
% 0.49/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.49/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.49/0.60 Bug reports to peter@backeman.se
% 0.49/0.60
% 0.49/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.49/0.60
% 0.49/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.65/0.96 Prover 0: Preprocessing ...
% 2.24/1.22 Prover 0: Constructing countermodel ...
% 18.49/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.63/5.97 Prover 1: Preprocessing ...
% 18.63/6.05 Prover 1: Constructing countermodel ...
% 28.00/8.53 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 28.00/8.56 Prover 2: Preprocessing ...
% 28.42/8.65 Prover 2: Warning: ignoring some quantifiers
% 28.42/8.65 Prover 2: Constructing countermodel ...
% 32.05/9.47 Prover 2: proved (939ms)
% 32.05/9.48 Prover 0: stopped
% 32.05/9.48 Prover 1: stopped
% 32.05/9.48
% 32.05/9.48 No countermodel exists, formula is valid
% 32.05/9.48 % SZS status Theorem for theBenchmark
% 32.05/9.48
% 32.05/9.48 Generating proof ... Warning: ignoring some quantifiers
% 48.73/16.64 found it (size 536)
% 48.73/16.64
% 48.73/16.64 % SZS output start Proof for theBenchmark
% 48.73/16.64 Assumed formulas after preprocessing and simplification:
% 48.73/16.64 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & leq(v6, v8) = v9 & leq(v3, v4) = 0 & star(v2) = v7 & star(v1) = v5 & multiplication(v7, v0) = v8 & multiplication(v2, v0) = v4 & multiplication(v0, v5) = v6 & multiplication(v0, v1) = v3 & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (strong_iteration(v10) = v13) | ~ (leq(v12, v14) = v15) | ~ (multiplication(v13, v11) = v14) | ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = 0) & leq(v12, v17) = v18 & multiplication(v10, v12) = v16 & addition(v16, v11) = v17)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (leq(v14, v12) = v15) | ~ (star(v10) = v13) | ~ (multiplication(v13, v11) = v14) | ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = 0) & leq(v17, v12) = v18 & multiplication(v10, v12) = v16 & addition(v16, v11) = v17)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (leq(v14, v12) = v15) | ~ (star(v10) = v13) | ~ (multiplication(v11, v13) = v14) | ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = 0) & leq(v17, v12) = v18 & multiplication(v12, v10) = v16 & addition(v16, v11) = v17)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (multiplication(v11, v12) = v14) | ~ (multiplication(v10, v12) = v13) | ~ (addition(v13, v14) = v15) | ? [v16] : (multiplication(v16, v12) = v15 & addition(v10, v11) = v16)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (multiplication(v10, v12) = v14) | ~ (multiplication(v10, v11) = v13) | ~ (addition(v13, v14) = v15) | ? [v16] : (multiplication(v10, v16) = v15 & addition(v11, v12) = v16)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (multiplication(v13, v12) = v14) | ~ (multiplication(v10, v11) = v13) | ? [v15] : (multiplication(v11, v12) = v15 & multiplication(v10, v15) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (multiplication(v13, v12) = v14) | ~ (addition(v10, v11) = v13) | ? [v15] : ? [v16] : (multiplication(v11, v12) = v16 & multiplication(v10, v12) = v15 & addition(v15, v16) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (multiplication(v12, v10) = v13) | ~ (addition(v13, v11) = v14) | ? [v15] : ? [v16] : ? [v17] : ((v17 = 0 & leq(v16, v12) = 0 & star(v10) = v15 & multiplication(v11, v15) = v16) | ( ~ (v15 = 0) & leq(v14, v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (multiplication(v11, v12) = v13) | ~ (multiplication(v10, v13) = v14) | ? [v15] : (multiplication(v15, v12) = v14 & multiplication(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (multiplication(v10, v13) = v14) | ~ (addition(v11, v12) = v13) | ? [v15] : ? [v16] : (multiplication(v10, v12) = v16 & multiplication(v10, v11) = v15 & addition(v15, v16) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (multiplication(v10, v12) = v13) | ~ (addition(v13, v11) = v14) | ? [v15] : ? [v16] : ? [v17] : ((v17 = 0 & strong_iteration(v10) = v15 & leq(v12, v16) = 0 & multiplication(v15, v11) = v16) | ( ~ (v15 = 0) & leq(v12, v14) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (multiplication(v10, v12) = v13) | ~ (addition(v13, v11) = v14) | ? [v15] : ? [v16] : ? [v17] : ((v17 = 0 & leq(v16, v12) = 0 & star(v10) = v15 & multiplication(v15, v11) = v16) | ( ~ (v15 = 0) & leq(v14, v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (addition(v13, v10) = v14) | ~ (addition(v12, v11) = v13) | ? [v15] : (addition(v12, v15) = v14 & addition(v11, v10) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (addition(v12, v13) = v14) | ~ (addition(v11, v10) = v13) | ? [v15] : (addition(v15, v10) = v14 & addition(v12, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (leq(v13, v12) = v11) | ~ (leq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (multiplication(v13, v12) = v11) | ~ (multiplication(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (addition(v13, v12) = v11) | ~ (addition(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (addition(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & leq(v10, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (leq(v10, v11) = v12) | ? [v13] : ( ~ (v13 = v11) & addition(v10, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (strong_iteration(v12) = v11) | ~ (strong_iteration(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (star(v12) = v11) | ~ (star(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (addition(v11, v10) = v12) | addition(v10, v11) = v12) & ! [v10] : ! [v11] : ! [v12] : ( ~ (addition(v10, v11) = v12) | addition(v11, v10) = v12) & ! [v10] : ! [v11] : (v11 = v10 | ~ (multiplication(v10, one) = v11)) & ! [v10] : ! [v11] : (v11 = v10 | ~ (multiplication(one, v10) = v11)) & ! [v10] : ! [v11] : (v11 = v10 | ~ (addition(v10, v10) = v11)) & ! [v10] : ! [v11] : (v11 = v10 | ~ (addition(v10, zero) = v11)) & ! [v10] : ! [v11] : (v11 = zero | ~ (multiplication(zero, v10) = v11)) & ! [v10] : ! [v11] : ( ~ (strong_iteration(v10) = v11) | ? [v12] : ? [v13] : (star(v10) = v12 & multiplication(v11, zero) = v13 & addition(v12, v13) = v11)) & ! [v10] : ! [v11] : ( ~ (strong_iteration(v10) = v11) | ? [v12] : (multiplication(v10, v11) = v12 & addition(v12, one) = v11)) & ! [v10] : ! [v11] : ( ~ (leq(v10, v11) = 0) | addition(v10, v11) = v11) & ! [v10] : ! [v11] : ( ~ (star(v10) = v11) | ? [v12] : ? [v13] : (strong_iteration(v10) = v12 & multiplication(v12, zero) = v13 & addition(v11, v13) = v12)) & ! [v10] : ! [v11] : ( ~ (star(v10) = v11) | ? [v12] : (multiplication(v11, v10) = v12 & addition(one, v12) = v11)) & ! [v10] : ! [v11] : ( ~ (star(v10) = v11) | ? [v12] : (multiplication(v10, v11) = v12 & addition(one, v12) = v11)) & ! [v10] : ! [v11] : ( ~ (addition(v10, v11) = v11) | leq(v10, v11) = 0) & ? [v10] : ? [v11] : ? [v12] : leq(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : multiplication(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : addition(v11, v10) = v12 & ? [v10] : ? [v11] : strong_iteration(v10) = v11 & ? [v10] : ? [v11] : star(v10) = v11)
% 49.27/16.69 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 49.27/16.69 | (1) ~ (all_0_0_0 = 0) & leq(all_0_3_3, all_0_1_1) = all_0_0_0 & leq(all_0_6_6, all_0_5_5) = 0 & star(all_0_7_7) = all_0_2_2 & star(all_0_8_8) = all_0_4_4 & multiplication(all_0_2_2, all_0_9_9) = all_0_1_1 & multiplication(all_0_7_7, all_0_9_9) = all_0_5_5 & multiplication(all_0_9_9, all_0_4_4) = all_0_3_3 & multiplication(all_0_9_9, all_0_8_8) = all_0_6_6 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (strong_iteration(v0) = v3) | ~ (leq(v2, v4) = v5) | ~ (multiplication(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v2, v7) = v8 & multiplication(v0, v2) = v6 & addition(v6, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~ (multiplication(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v2) = v8 & multiplication(v0, v2) = v6 & addition(v6, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~ (multiplication(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v2) = v8 & multiplication(v2, v0) = v6 & addition(v6, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v1, v2) = v4) | ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ? [v5] : ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v2, v0) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & leq(v6, v2) = 0 & star(v0) = v5 & multiplication(v1, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ? [v5] : ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & strong_iteration(v0) = v5 & leq(v2, v6) = 0 & multiplication(v5, v1) = v6) | ( ~ (v5 = 0) & leq(v2, v4) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & leq(v6, v2) = 0 & star(v0) = v5 & multiplication(v5, v1) = v6) | ( ~ (v5 = 0) & leq(v4, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strong_iteration(v2) = v1) | ~ (strong_iteration(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : ? [v3] : (star(v0) = v2 & multiplication(v1, zero) = v3 & addition(v2, v3) = v1)) & ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(v2, one) = v1)) & ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (strong_iteration(v0) = v2 & multiplication(v2, zero) = v3 & addition(v1, v3) = v2)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(one, v2) = v1)) & ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0) & ? [v0] : ? [v1] : ? [v2] : leq(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : multiplication(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : addition(v1, v0) = v2 & ? [v0] : ? [v1] : strong_iteration(v0) = v1 & ? [v0] : ? [v1] : star(v0) = v1
% 49.27/16.70 |
% 49.27/16.70 | Applying alpha-rule on (1) yields:
% 49.27/16.70 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0))
% 49.27/16.71 | (3) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1))
% 49.27/16.71 | (4) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1))
% 49.27/16.71 | (5) star(all_0_7_7) = all_0_2_2
% 49.27/16.71 | (6) ? [v0] : ? [v1] : star(v0) = v1
% 49.27/16.71 | (7) ? [v0] : ? [v1] : ? [v2] : leq(v1, v0) = v2
% 49.27/16.71 | (8) leq(all_0_3_3, all_0_1_1) = all_0_0_0
% 49.27/16.71 | (9) ? [v0] : ? [v1] : ? [v2] : addition(v1, v0) = v2
% 49.27/16.71 | (10) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3))
% 49.27/16.71 | (11) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1))
% 49.27/16.71 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2)
% 49.27/16.71 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2)
% 49.27/16.71 | (14) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (strong_iteration(v0) = v2 & multiplication(v2, zero) = v3 & addition(v1, v3) = v2))
% 49.27/16.71 | (15) ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(v2, one) = v1))
% 49.27/16.71 | (16) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 49.27/16.71 | (17) ! [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))
% 49.27/16.71 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 49.27/16.71 | (19) leq(all_0_6_6, all_0_5_5) = 0
% 49.27/16.71 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0))
% 49.27/16.71 | (21) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1))
% 49.27/16.71 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5))
% 49.27/16.71 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (strong_iteration(v0) = v3) | ~ (leq(v2, v4) = v5) | ~ (multiplication(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v2, v7) = v8 & multiplication(v0, v2) = v6 & addition(v6, v1) = v7))
% 49.27/16.71 | (24) ? [v0] : ? [v1] : ? [v2] : multiplication(v1, v0) = v2
% 49.27/16.71 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~ (multiplication(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v2) = v8 & multiplication(v0, v2) = v6 & addition(v6, v1) = v7))
% 49.27/16.71 | (26) ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : ? [v3] : (star(v0) = v2 & multiplication(v1, zero) = v3 & addition(v2, v3) = v1))
% 49.27/16.71 | (27) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1))
% 49.27/16.71 | (28) ~ (all_0_0_0 = 0)
% 49.27/16.71 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5))
% 49.27/16.71 | (30) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(one, v2) = v1))
% 49.27/16.71 | (31) multiplication(all_0_2_2, all_0_9_9) = all_0_1_1
% 49.27/16.71 | (32) multiplication(all_0_9_9, all_0_8_8) = all_0_6_6
% 49.27/16.71 | (33) multiplication(all_0_9_9, all_0_4_4) = all_0_3_3
% 49.27/16.71 | (34) star(all_0_8_8) = all_0_4_4
% 49.27/16.71 | (35) ? [v0] : ? [v1] : strong_iteration(v0) = v1
% 49.27/16.71 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4))
% 49.27/16.71 | (37) ! [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))
% 49.27/16.71 | (38) ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0)
% 49.27/16.71 | (39) ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1)
% 49.27/16.72 | (40) multiplication(all_0_7_7, all_0_9_9) = all_0_5_5
% 49.27/16.72 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5))
% 49.27/16.72 | (42) ! [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))
% 49.27/16.72 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0))
% 49.27/16.72 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & strong_iteration(v0) = v5 & leq(v2, v6) = 0 & multiplication(v5, v1) = v6) | ( ~ (v5 = 0) & leq(v2, v4) = v5)))
% 49.27/16.72 | (45) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1))
% 49.27/16.72 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v2, v0) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & leq(v6, v2) = 0 & star(v0) = v5 & multiplication(v1, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v2) = v5)))
% 49.27/16.72 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & leq(v6, v2) = 0 & star(v0) = v5 & multiplication(v5, v1) = v6) | ( ~ (v5 = 0) & leq(v4, v2) = v5)))
% 49.27/16.72 | (48) ! [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))
% 49.27/16.72 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strong_iteration(v2) = v1) | ~ (strong_iteration(v2) = v0))
% 49.27/16.72 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~ (multiplication(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v2) = v8 & multiplication(v2, v0) = v6 & addition(v6, v1) = v7))
% 49.27/16.72 |
% 49.27/16.72 | Instantiating formula (10) with all_0_0_0, all_0_1_1, all_0_3_3 and discharging atoms leq(all_0_3_3, all_0_1_1) = all_0_0_0, yields:
% 49.27/16.72 | (51) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = all_0_1_1) & addition(all_0_3_3, all_0_1_1) = v0)
% 49.27/16.72 |
% 49.27/16.72 | Instantiating formula (39) with all_0_5_5, all_0_6_6 and discharging atoms leq(all_0_6_6, all_0_5_5) = 0, yields:
% 49.27/16.72 | (52) addition(all_0_6_6, all_0_5_5) = all_0_5_5
% 49.27/16.72 |
% 49.27/16.72 | Instantiating formula (14) with all_0_2_2, all_0_7_7 and discharging atoms star(all_0_7_7) = all_0_2_2, yields:
% 49.27/16.72 | (53) ? [v0] : ? [v1] : (strong_iteration(all_0_7_7) = v0 & multiplication(v0, zero) = v1 & addition(all_0_2_2, v1) = v0)
% 49.27/16.72 |
% 49.27/16.72 | Instantiating formula (11) with all_0_2_2, all_0_7_7 and discharging atoms star(all_0_7_7) = all_0_2_2, yields:
% 49.27/16.72 | (54) ? [v0] : (multiplication(all_0_2_2, all_0_7_7) = v0 & addition(one, v0) = all_0_2_2)
% 49.27/16.72 |
% 49.27/16.72 | Instantiating formula (30) with all_0_2_2, all_0_7_7 and discharging atoms star(all_0_7_7) = all_0_2_2, yields:
% 49.27/16.72 | (55) ? [v0] : (multiplication(all_0_7_7, all_0_2_2) = v0 & addition(one, v0) = all_0_2_2)
% 49.27/16.72 |
% 49.27/16.72 | Instantiating formula (11) with all_0_4_4, all_0_8_8 and discharging atoms star(all_0_8_8) = all_0_4_4, yields:
% 49.27/16.72 | (56) ? [v0] : (multiplication(all_0_4_4, all_0_8_8) = v0 & addition(one, v0) = all_0_4_4)
% 49.27/16.72 |
% 49.27/16.72 | Instantiating formula (30) with all_0_4_4, all_0_8_8 and discharging atoms star(all_0_8_8) = all_0_4_4, yields:
% 49.27/16.72 | (57) ? [v0] : (multiplication(all_0_8_8, all_0_4_4) = v0 & addition(one, v0) = all_0_4_4)
% 49.27/16.72 |
% 49.27/16.72 | Instantiating formula (50) with all_0_0_0, all_0_3_3, all_0_4_4, all_0_1_1, all_0_9_9, all_0_8_8 and discharging atoms leq(all_0_3_3, all_0_1_1) = all_0_0_0, star(all_0_8_8) = all_0_4_4, multiplication(all_0_9_9, all_0_4_4) = all_0_3_3, yields:
% 49.27/16.72 | (58) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_0_1_1) = v2 & multiplication(all_0_1_1, all_0_8_8) = v0 & addition(v0, all_0_9_9) = v1)
% 49.27/16.72 |
% 49.27/16.72 | Instantiating (54) with all_19_0_23 yields:
% 49.27/16.72 | (59) multiplication(all_0_2_2, all_0_7_7) = all_19_0_23 & addition(one, all_19_0_23) = all_0_2_2
% 49.27/16.72 |
% 49.27/16.72 | Applying alpha-rule on (59) yields:
% 49.27/16.72 | (60) multiplication(all_0_2_2, all_0_7_7) = all_19_0_23
% 49.27/16.72 | (61) addition(one, all_19_0_23) = all_0_2_2
% 49.27/16.72 |
% 49.27/16.72 | Instantiating (53) with all_21_0_24, all_21_1_25 yields:
% 49.27/16.72 | (62) strong_iteration(all_0_7_7) = all_21_1_25 & multiplication(all_21_1_25, zero) = all_21_0_24 & addition(all_0_2_2, all_21_0_24) = all_21_1_25
% 49.27/16.72 |
% 49.27/16.72 | Applying alpha-rule on (62) yields:
% 49.27/16.72 | (63) strong_iteration(all_0_7_7) = all_21_1_25
% 49.27/16.72 | (64) multiplication(all_21_1_25, zero) = all_21_0_24
% 49.27/16.72 | (65) addition(all_0_2_2, all_21_0_24) = all_21_1_25
% 49.27/16.72 |
% 49.27/16.72 | Instantiating (57) with all_23_0_26 yields:
% 49.27/16.72 | (66) multiplication(all_0_8_8, all_0_4_4) = all_23_0_26 & addition(one, all_23_0_26) = all_0_4_4
% 49.27/16.72 |
% 49.27/16.72 | Applying alpha-rule on (66) yields:
% 49.27/16.72 | (67) multiplication(all_0_8_8, all_0_4_4) = all_23_0_26
% 49.27/16.73 | (68) addition(one, all_23_0_26) = all_0_4_4
% 49.27/16.73 |
% 49.27/16.73 | Instantiating (55) with all_27_0_29 yields:
% 49.27/16.73 | (69) multiplication(all_0_7_7, all_0_2_2) = all_27_0_29 & addition(one, all_27_0_29) = all_0_2_2
% 49.27/16.73 |
% 49.27/16.73 | Applying alpha-rule on (69) yields:
% 49.27/16.73 | (70) multiplication(all_0_7_7, all_0_2_2) = all_27_0_29
% 49.27/16.73 | (71) addition(one, all_27_0_29) = all_0_2_2
% 49.27/16.73 |
% 49.27/16.73 | Instantiating (56) with all_29_0_30 yields:
% 49.27/16.73 | (72) multiplication(all_0_4_4, all_0_8_8) = all_29_0_30 & addition(one, all_29_0_30) = all_0_4_4
% 49.27/16.73 |
% 49.27/16.73 | Applying alpha-rule on (72) yields:
% 49.27/16.73 | (73) multiplication(all_0_4_4, all_0_8_8) = all_29_0_30
% 49.27/16.73 | (74) addition(one, all_29_0_30) = all_0_4_4
% 49.27/16.73 |
% 49.27/16.73 +-Applying beta-rule and splitting (58), into two cases.
% 49.27/16.73 |-Branch one:
% 49.27/16.73 | (75) all_0_0_0 = 0
% 49.27/16.73 |
% 49.27/16.73 | Equations (75) can reduce 28 to:
% 49.27/16.73 | (76) $false
% 49.27/16.73 |
% 49.27/16.73 |-The branch is then unsatisfiable
% 49.27/16.73 |-Branch two:
% 49.27/16.73 | (28) ~ (all_0_0_0 = 0)
% 49.27/16.73 | (78) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_0_1_1) = v2 & multiplication(all_0_1_1, all_0_8_8) = v0 & addition(v0, all_0_9_9) = v1)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating (78) with all_35_0_31, all_35_1_32, all_35_2_33 yields:
% 49.27/16.73 | (79) ~ (all_35_0_31 = 0) & leq(all_35_1_32, all_0_1_1) = all_35_0_31 & multiplication(all_0_1_1, all_0_8_8) = all_35_2_33 & addition(all_35_2_33, all_0_9_9) = all_35_1_32
% 49.27/16.73 |
% 49.27/16.73 | Applying alpha-rule on (79) yields:
% 49.27/16.73 | (80) ~ (all_35_0_31 = 0)
% 49.27/16.73 | (81) leq(all_35_1_32, all_0_1_1) = all_35_0_31
% 49.27/16.73 | (82) multiplication(all_0_1_1, all_0_8_8) = all_35_2_33
% 49.27/16.73 | (83) addition(all_35_2_33, all_0_9_9) = all_35_1_32
% 49.27/16.73 |
% 49.27/16.73 +-Applying beta-rule and splitting (51), into two cases.
% 49.27/16.73 |-Branch one:
% 49.27/16.73 | (75) all_0_0_0 = 0
% 49.27/16.73 |
% 49.27/16.73 | Equations (75) can reduce 28 to:
% 49.27/16.73 | (76) $false
% 49.27/16.73 |
% 49.27/16.73 |-The branch is then unsatisfiable
% 49.27/16.73 |-Branch two:
% 49.27/16.73 | (28) ~ (all_0_0_0 = 0)
% 49.27/16.73 | (87) ? [v0] : ( ~ (v0 = all_0_1_1) & addition(all_0_3_3, all_0_1_1) = v0)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating (87) with all_40_0_34 yields:
% 49.27/16.73 | (88) ~ (all_40_0_34 = all_0_1_1) & addition(all_0_3_3, all_0_1_1) = all_40_0_34
% 49.27/16.73 |
% 49.27/16.73 | Applying alpha-rule on (88) yields:
% 49.27/16.73 | (89) ~ (all_40_0_34 = all_0_1_1)
% 49.27/16.73 | (90) addition(all_0_3_3, all_0_1_1) = all_40_0_34
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (15) with all_21_1_25, all_0_7_7 and discharging atoms strong_iteration(all_0_7_7) = all_21_1_25, yields:
% 49.27/16.73 | (91) ? [v0] : (multiplication(all_0_7_7, all_21_1_25) = v0 & addition(v0, one) = all_21_1_25)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (10) with all_35_0_31, all_0_1_1, all_35_1_32 and discharging atoms leq(all_35_1_32, all_0_1_1) = all_35_0_31, yields:
% 49.27/16.73 | (92) all_35_0_31 = 0 | ? [v0] : ( ~ (v0 = all_0_1_1) & addition(all_35_1_32, all_0_1_1) = v0)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (36) with all_35_2_33, all_0_1_1, all_0_8_8, all_0_9_9, all_0_2_2 and discharging atoms multiplication(all_0_1_1, all_0_8_8) = all_35_2_33, multiplication(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 49.27/16.73 | (93) ? [v0] : (multiplication(all_0_2_2, v0) = all_35_2_33 & multiplication(all_0_9_9, all_0_8_8) = v0)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (13) with all_35_1_32, all_35_2_33, all_0_9_9 and discharging atoms addition(all_35_2_33, all_0_9_9) = all_35_1_32, yields:
% 49.27/16.73 | (94) addition(all_0_9_9, all_35_2_33) = all_35_1_32
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (13) with all_21_1_25, all_0_2_2, all_21_0_24 and discharging atoms addition(all_0_2_2, all_21_0_24) = all_21_1_25, yields:
% 49.27/16.73 | (95) addition(all_21_0_24, all_0_2_2) = all_21_1_25
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (13) with all_40_0_34, all_0_3_3, all_0_1_1 and discharging atoms addition(all_0_3_3, all_0_1_1) = all_40_0_34, yields:
% 49.27/16.73 | (96) addition(all_0_1_1, all_0_3_3) = all_40_0_34
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (22) with all_0_5_5, all_0_5_5, all_0_6_6, all_0_6_6, all_0_5_5 and discharging atoms addition(all_0_6_6, all_0_5_5) = all_0_5_5, yields:
% 49.27/16.73 | (97) ? [v0] : (addition(v0, all_0_5_5) = all_0_5_5 & addition(all_0_6_6, all_0_6_6) = v0)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (13) with all_0_5_5, all_0_6_6, all_0_5_5 and discharging atoms addition(all_0_6_6, all_0_5_5) = all_0_5_5, yields:
% 49.27/16.73 | (98) addition(all_0_5_5, all_0_6_6) = all_0_5_5
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (17) with all_0_3_3, all_0_4_4, all_29_0_30, one, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_4_4) = all_0_3_3, addition(one, all_29_0_30) = all_0_4_4, yields:
% 49.27/16.73 | (99) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_29_0_30) = v1 & multiplication(all_0_9_9, one) = v0 & addition(v0, v1) = all_0_3_3)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (37) with all_29_0_30, all_0_4_4, all_0_8_8, all_29_0_30, one and discharging atoms multiplication(all_0_4_4, all_0_8_8) = all_29_0_30, addition(one, all_29_0_30) = all_0_4_4, yields:
% 49.27/16.73 | (100) ? [v0] : ? [v1] : (multiplication(all_29_0_30, all_0_8_8) = v1 & multiplication(one, all_0_8_8) = v0 & addition(v0, v1) = all_29_0_30)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (17) with all_23_0_26, all_0_4_4, all_29_0_30, one, all_0_8_8 and discharging atoms multiplication(all_0_8_8, all_0_4_4) = all_23_0_26, addition(one, all_29_0_30) = all_0_4_4, yields:
% 49.27/16.73 | (101) ? [v0] : ? [v1] : (multiplication(all_0_8_8, all_29_0_30) = v1 & multiplication(all_0_8_8, one) = v0 & addition(v0, v1) = all_23_0_26)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (13) with all_0_4_4, one, all_29_0_30 and discharging atoms addition(one, all_29_0_30) = all_0_4_4, yields:
% 49.27/16.73 | (102) addition(all_29_0_30, one) = all_0_4_4
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (37) with all_0_1_1, all_0_2_2, all_0_9_9, all_27_0_29, one and discharging atoms multiplication(all_0_2_2, all_0_9_9) = all_0_1_1, addition(one, all_27_0_29) = all_0_2_2, yields:
% 49.27/16.73 | (103) ? [v0] : ? [v1] : (multiplication(all_27_0_29, all_0_9_9) = v1 & multiplication(one, all_0_9_9) = v0 & addition(v0, v1) = all_0_1_1)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (37) with all_19_0_23, all_0_2_2, all_0_7_7, all_27_0_29, one and discharging atoms multiplication(all_0_2_2, all_0_7_7) = all_19_0_23, addition(one, all_27_0_29) = all_0_2_2, yields:
% 49.27/16.73 | (104) ? [v0] : ? [v1] : (multiplication(all_27_0_29, all_0_7_7) = v1 & multiplication(one, all_0_7_7) = v0 & addition(v0, v1) = all_19_0_23)
% 49.27/16.73 |
% 49.27/16.73 | Instantiating formula (17) with all_27_0_29, all_0_2_2, all_27_0_29, one, all_0_7_7 and discharging atoms multiplication(all_0_7_7, all_0_2_2) = all_27_0_29, addition(one, all_27_0_29) = all_0_2_2, yields:
% 49.27/16.74 | (105) ? [v0] : ? [v1] : (multiplication(all_0_7_7, all_27_0_29) = v1 & multiplication(all_0_7_7, one) = v0 & addition(v0, v1) = all_27_0_29)
% 49.27/16.74 |
% 49.27/16.74 | Instantiating formula (13) with all_0_2_2, one, all_27_0_29 and discharging atoms addition(one, all_27_0_29) = all_0_2_2, yields:
% 49.27/16.74 | (106) addition(all_27_0_29, one) = all_0_2_2
% 49.27/16.74 |
% 49.27/16.74 | Instantiating formula (17) with all_0_3_3, all_0_4_4, all_23_0_26, one, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_4_4) = all_0_3_3, addition(one, all_23_0_26) = all_0_4_4, yields:
% 49.27/16.74 | (107) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_23_0_26) = v1 & multiplication(all_0_9_9, one) = v0 & addition(v0, v1) = all_0_3_3)
% 49.27/16.74 |
% 49.27/16.74 | Instantiating formula (37) with all_29_0_30, all_0_4_4, all_0_8_8, all_23_0_26, one and discharging atoms multiplication(all_0_4_4, all_0_8_8) = all_29_0_30, addition(one, all_23_0_26) = all_0_4_4, yields:
% 49.27/16.74 | (108) ? [v0] : ? [v1] : (multiplication(all_23_0_26, all_0_8_8) = v1 & multiplication(one, all_0_8_8) = v0 & addition(v0, v1) = all_29_0_30)
% 49.27/16.74 |
% 49.27/16.74 | Instantiating formula (17) with all_23_0_26, all_0_4_4, all_23_0_26, one, all_0_8_8 and discharging atoms multiplication(all_0_8_8, all_0_4_4) = all_23_0_26, addition(one, all_23_0_26) = all_0_4_4, yields:
% 49.27/16.74 | (109) ? [v0] : ? [v1] : (multiplication(all_0_8_8, all_23_0_26) = v1 & multiplication(all_0_8_8, one) = v0 & addition(v0, v1) = all_23_0_26)
% 49.27/16.74 |
% 49.27/16.74 | Instantiating formula (13) with all_0_4_4, one, all_23_0_26 and discharging atoms addition(one, all_23_0_26) = all_0_4_4, yields:
% 49.27/16.74 | (110) addition(all_23_0_26, one) = all_0_4_4
% 49.27/16.74 |
% 49.27/16.74 | Instantiating formula (37) with all_0_1_1, all_0_2_2, all_0_9_9, all_19_0_23, one and discharging atoms multiplication(all_0_2_2, all_0_9_9) = all_0_1_1, addition(one, all_19_0_23) = all_0_2_2, yields:
% 49.27/16.74 | (111) ? [v0] : ? [v1] : (multiplication(all_19_0_23, all_0_9_9) = v1 & multiplication(one, all_0_9_9) = v0 & addition(v0, v1) = all_0_1_1)
% 49.27/16.74 |
% 49.27/16.74 | Instantiating formula (37) with all_19_0_23, all_0_2_2, all_0_7_7, all_19_0_23, one and discharging atoms multiplication(all_0_2_2, all_0_7_7) = all_19_0_23, addition(one, all_19_0_23) = all_0_2_2, yields:
% 49.27/16.74 | (112) ? [v0] : ? [v1] : (multiplication(all_19_0_23, all_0_7_7) = v1 & multiplication(one, all_0_7_7) = v0 & addition(v0, v1) = all_19_0_23)
% 49.27/16.74 |
% 49.27/16.74 | Instantiating formula (17) with all_27_0_29, all_0_2_2, all_19_0_23, one, all_0_7_7 and discharging atoms multiplication(all_0_7_7, all_0_2_2) = all_27_0_29, addition(one, all_19_0_23) = all_0_2_2, yields:
% 49.27/16.74 | (113) ? [v0] : ? [v1] : (multiplication(all_0_7_7, all_19_0_23) = v1 & multiplication(all_0_7_7, one) = v0 & addition(v0, v1) = all_27_0_29)
% 49.27/16.74 |
% 49.27/16.74 | Instantiating formula (13) with all_0_2_2, one, all_19_0_23 and discharging atoms addition(one, all_19_0_23) = all_0_2_2, yields:
% 49.27/16.74 | (114) addition(all_19_0_23, one) = all_0_2_2
% 49.27/16.74 |
% 49.27/16.74 | Instantiating (93) with all_48_0_35 yields:
% 49.27/16.74 | (115) multiplication(all_0_2_2, all_48_0_35) = all_35_2_33 & multiplication(all_0_9_9, all_0_8_8) = all_48_0_35
% 49.27/16.74 |
% 49.27/16.74 | Applying alpha-rule on (115) yields:
% 49.27/16.74 | (116) multiplication(all_0_2_2, all_48_0_35) = all_35_2_33
% 49.27/16.74 | (117) multiplication(all_0_9_9, all_0_8_8) = all_48_0_35
% 49.27/16.74 |
% 49.27/16.74 | Instantiating (105) with all_52_0_37, all_52_1_38 yields:
% 49.27/16.74 | (118) multiplication(all_0_7_7, all_27_0_29) = all_52_0_37 & multiplication(all_0_7_7, one) = all_52_1_38 & addition(all_52_1_38, all_52_0_37) = all_27_0_29
% 49.27/16.74 |
% 49.27/16.74 | Applying alpha-rule on (118) yields:
% 49.27/16.74 | (119) multiplication(all_0_7_7, all_27_0_29) = all_52_0_37
% 49.27/16.74 | (120) multiplication(all_0_7_7, one) = all_52_1_38
% 49.55/16.74 | (121) addition(all_52_1_38, all_52_0_37) = all_27_0_29
% 49.55/16.74 |
% 49.55/16.74 | Instantiating (97) with all_54_0_39 yields:
% 49.55/16.74 | (122) addition(all_54_0_39, all_0_5_5) = all_0_5_5 & addition(all_0_6_6, all_0_6_6) = all_54_0_39
% 49.55/16.74 |
% 49.55/16.74 | Applying alpha-rule on (122) yields:
% 49.55/16.74 | (123) addition(all_54_0_39, all_0_5_5) = all_0_5_5
% 49.55/16.74 | (124) addition(all_0_6_6, all_0_6_6) = all_54_0_39
% 49.55/16.74 |
% 49.55/16.74 | Instantiating (91) with all_56_0_40 yields:
% 49.55/16.74 | (125) multiplication(all_0_7_7, all_21_1_25) = all_56_0_40 & addition(all_56_0_40, one) = all_21_1_25
% 49.55/16.74 |
% 49.55/16.74 | Applying alpha-rule on (125) yields:
% 49.55/16.74 | (126) multiplication(all_0_7_7, all_21_1_25) = all_56_0_40
% 49.55/16.74 | (127) addition(all_56_0_40, one) = all_21_1_25
% 49.55/16.74 |
% 49.55/16.74 | Instantiating (111) with all_58_0_41, all_58_1_42 yields:
% 49.55/16.74 | (128) multiplication(all_19_0_23, all_0_9_9) = all_58_0_41 & multiplication(one, all_0_9_9) = all_58_1_42 & addition(all_58_1_42, all_58_0_41) = all_0_1_1
% 49.55/16.74 |
% 49.55/16.74 | Applying alpha-rule on (128) yields:
% 49.55/16.74 | (129) multiplication(all_19_0_23, all_0_9_9) = all_58_0_41
% 49.55/16.74 | (130) multiplication(one, all_0_9_9) = all_58_1_42
% 49.55/16.74 | (131) addition(all_58_1_42, all_58_0_41) = all_0_1_1
% 49.55/16.74 |
% 49.55/16.74 | Instantiating (104) with all_63_0_52, all_63_1_53 yields:
% 49.55/16.74 | (132) multiplication(all_27_0_29, all_0_7_7) = all_63_0_52 & multiplication(one, all_0_7_7) = all_63_1_53 & addition(all_63_1_53, all_63_0_52) = all_19_0_23
% 49.55/16.74 |
% 49.55/16.74 | Applying alpha-rule on (132) yields:
% 49.55/16.74 | (133) multiplication(all_27_0_29, all_0_7_7) = all_63_0_52
% 49.55/16.74 | (134) multiplication(one, all_0_7_7) = all_63_1_53
% 49.55/16.74 | (135) addition(all_63_1_53, all_63_0_52) = all_19_0_23
% 49.55/16.74 |
% 49.55/16.74 | Instantiating (109) with all_71_0_63, all_71_1_64 yields:
% 49.55/16.74 | (136) multiplication(all_0_8_8, all_23_0_26) = all_71_0_63 & multiplication(all_0_8_8, one) = all_71_1_64 & addition(all_71_1_64, all_71_0_63) = all_23_0_26
% 49.55/16.74 |
% 49.55/16.74 | Applying alpha-rule on (136) yields:
% 49.55/16.74 | (137) multiplication(all_0_8_8, all_23_0_26) = all_71_0_63
% 49.55/16.74 | (138) multiplication(all_0_8_8, one) = all_71_1_64
% 49.55/16.74 | (139) addition(all_71_1_64, all_71_0_63) = all_23_0_26
% 49.55/16.74 |
% 49.55/16.74 | Instantiating (113) with all_73_0_65, all_73_1_66 yields:
% 49.55/16.74 | (140) multiplication(all_0_7_7, all_19_0_23) = all_73_0_65 & multiplication(all_0_7_7, one) = all_73_1_66 & addition(all_73_1_66, all_73_0_65) = all_27_0_29
% 49.55/16.74 |
% 49.55/16.74 | Applying alpha-rule on (140) yields:
% 49.55/16.74 | (141) multiplication(all_0_7_7, all_19_0_23) = all_73_0_65
% 49.55/16.74 | (142) multiplication(all_0_7_7, one) = all_73_1_66
% 49.55/16.74 | (143) addition(all_73_1_66, all_73_0_65) = all_27_0_29
% 49.55/16.74 |
% 49.55/16.74 | Instantiating (107) with all_75_0_67, all_75_1_68 yields:
% 49.55/16.74 | (144) multiplication(all_0_9_9, all_23_0_26) = all_75_0_67 & multiplication(all_0_9_9, one) = all_75_1_68 & addition(all_75_1_68, all_75_0_67) = all_0_3_3
% 49.55/16.74 |
% 49.55/16.74 | Applying alpha-rule on (144) yields:
% 49.55/16.74 | (145) multiplication(all_0_9_9, all_23_0_26) = all_75_0_67
% 49.55/16.75 | (146) multiplication(all_0_9_9, one) = all_75_1_68
% 49.55/16.75 | (147) addition(all_75_1_68, all_75_0_67) = all_0_3_3
% 49.55/16.75 |
% 49.55/16.75 | Instantiating (112) with all_77_0_69, all_77_1_70 yields:
% 49.55/16.75 | (148) multiplication(all_19_0_23, all_0_7_7) = all_77_0_69 & multiplication(one, all_0_7_7) = all_77_1_70 & addition(all_77_1_70, all_77_0_69) = all_19_0_23
% 49.55/16.75 |
% 49.55/16.75 | Applying alpha-rule on (148) yields:
% 49.55/16.75 | (149) multiplication(all_19_0_23, all_0_7_7) = all_77_0_69
% 49.55/16.75 | (150) multiplication(one, all_0_7_7) = all_77_1_70
% 49.55/16.75 | (151) addition(all_77_1_70, all_77_0_69) = all_19_0_23
% 49.55/16.75 |
% 49.55/16.75 | Instantiating (108) with all_79_0_71, all_79_1_72 yields:
% 49.55/16.75 | (152) multiplication(all_23_0_26, all_0_8_8) = all_79_0_71 & multiplication(one, all_0_8_8) = all_79_1_72 & addition(all_79_1_72, all_79_0_71) = all_29_0_30
% 49.55/16.75 |
% 49.55/16.75 | Applying alpha-rule on (152) yields:
% 49.55/16.75 | (153) multiplication(all_23_0_26, all_0_8_8) = all_79_0_71
% 49.55/16.75 | (154) multiplication(one, all_0_8_8) = all_79_1_72
% 49.55/16.75 | (155) addition(all_79_1_72, all_79_0_71) = all_29_0_30
% 49.55/16.75 |
% 49.55/16.75 | Instantiating (99) with all_86_0_78, all_86_1_79 yields:
% 49.55/16.75 | (156) multiplication(all_0_9_9, all_29_0_30) = all_86_0_78 & multiplication(all_0_9_9, one) = all_86_1_79 & addition(all_86_1_79, all_86_0_78) = all_0_3_3
% 49.55/16.75 |
% 49.55/16.75 | Applying alpha-rule on (156) yields:
% 49.55/16.75 | (157) multiplication(all_0_9_9, all_29_0_30) = all_86_0_78
% 49.55/16.75 | (158) multiplication(all_0_9_9, one) = all_86_1_79
% 49.55/16.75 | (159) addition(all_86_1_79, all_86_0_78) = all_0_3_3
% 49.55/16.75 |
% 49.55/16.75 | Instantiating (103) with all_88_0_80, all_88_1_81 yields:
% 49.55/16.75 | (160) multiplication(all_27_0_29, all_0_9_9) = all_88_0_80 & multiplication(one, all_0_9_9) = all_88_1_81 & addition(all_88_1_81, all_88_0_80) = all_0_1_1
% 49.55/16.75 |
% 49.55/16.75 | Applying alpha-rule on (160) yields:
% 49.55/16.75 | (161) multiplication(all_27_0_29, all_0_9_9) = all_88_0_80
% 49.55/16.75 | (162) multiplication(one, all_0_9_9) = all_88_1_81
% 49.55/16.75 | (163) addition(all_88_1_81, all_88_0_80) = all_0_1_1
% 49.55/16.75 |
% 49.55/16.75 | Instantiating (101) with all_92_0_83, all_92_1_84 yields:
% 49.55/16.75 | (164) multiplication(all_0_8_8, all_29_0_30) = all_92_0_83 & multiplication(all_0_8_8, one) = all_92_1_84 & addition(all_92_1_84, all_92_0_83) = all_23_0_26
% 49.55/16.75 |
% 49.55/16.75 | Applying alpha-rule on (164) yields:
% 49.55/16.75 | (165) multiplication(all_0_8_8, all_29_0_30) = all_92_0_83
% 49.55/16.75 | (166) multiplication(all_0_8_8, one) = all_92_1_84
% 49.55/16.75 | (167) addition(all_92_1_84, all_92_0_83) = all_23_0_26
% 49.55/16.75 |
% 49.55/16.75 | Instantiating (100) with all_96_0_87, all_96_1_88 yields:
% 49.55/16.75 | (168) multiplication(all_29_0_30, all_0_8_8) = all_96_0_87 & multiplication(one, all_0_8_8) = all_96_1_88 & addition(all_96_1_88, all_96_0_87) = all_29_0_30
% 49.55/16.75 |
% 49.55/16.75 | Applying alpha-rule on (168) yields:
% 49.55/16.75 | (169) multiplication(all_29_0_30, all_0_8_8) = all_96_0_87
% 49.55/16.75 | (170) multiplication(one, all_0_8_8) = all_96_1_88
% 49.55/16.75 | (171) addition(all_96_1_88, all_96_0_87) = all_29_0_30
% 49.55/16.75 |
% 49.55/16.75 +-Applying beta-rule and splitting (92), into two cases.
% 49.55/16.75 |-Branch one:
% 49.55/16.75 | (172) all_35_0_31 = 0
% 49.55/16.75 |
% 49.55/16.75 | Equations (172) can reduce 80 to:
% 49.55/16.75 | (76) $false
% 49.55/16.75 |
% 49.55/16.75 |-The branch is then unsatisfiable
% 49.55/16.75 |-Branch two:
% 49.55/16.75 | (80) ~ (all_35_0_31 = 0)
% 49.55/16.75 | (175) ? [v0] : ( ~ (v0 = all_0_1_1) & addition(all_35_1_32, all_0_1_1) = v0)
% 49.55/16.75 |
% 49.55/16.75 | Instantiating (175) with all_104_0_95 yields:
% 49.55/16.75 | (176) ~ (all_104_0_95 = all_0_1_1) & addition(all_35_1_32, all_0_1_1) = all_104_0_95
% 49.55/16.75 |
% 49.55/16.75 | Applying alpha-rule on (176) yields:
% 49.55/16.75 | (177) ~ (all_104_0_95 = all_0_1_1)
% 49.55/16.75 | (178) addition(all_35_1_32, all_0_1_1) = all_104_0_95
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (3) with all_73_1_66, all_0_7_7 and discharging atoms multiplication(all_0_7_7, one) = all_73_1_66, yields:
% 49.55/16.75 | (179) all_73_1_66 = all_0_7_7
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (43) with all_0_7_7, one, all_52_1_38, all_73_1_66 and discharging atoms multiplication(all_0_7_7, one) = all_73_1_66, multiplication(all_0_7_7, one) = all_52_1_38, yields:
% 49.55/16.75 | (180) all_73_1_66 = all_52_1_38
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (3) with all_92_1_84, all_0_8_8 and discharging atoms multiplication(all_0_8_8, one) = all_92_1_84, yields:
% 49.55/16.75 | (181) all_92_1_84 = all_0_8_8
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (43) with all_0_8_8, one, all_71_1_64, all_92_1_84 and discharging atoms multiplication(all_0_8_8, one) = all_92_1_84, multiplication(all_0_8_8, one) = all_71_1_64, yields:
% 49.55/16.75 | (182) all_92_1_84 = all_71_1_64
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (43) with all_0_9_9, all_0_8_8, all_48_0_35, all_0_6_6 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_48_0_35, multiplication(all_0_9_9, all_0_8_8) = all_0_6_6, yields:
% 49.55/16.75 | (183) all_48_0_35 = all_0_6_6
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (3) with all_86_1_79, all_0_9_9 and discharging atoms multiplication(all_0_9_9, one) = all_86_1_79, yields:
% 49.55/16.75 | (184) all_86_1_79 = all_0_9_9
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (43) with all_0_9_9, one, all_75_1_68, all_86_1_79 and discharging atoms multiplication(all_0_9_9, one) = all_86_1_79, multiplication(all_0_9_9, one) = all_75_1_68, yields:
% 49.55/16.75 | (185) all_86_1_79 = all_75_1_68
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (27) with all_77_1_70, all_0_7_7 and discharging atoms multiplication(one, all_0_7_7) = all_77_1_70, yields:
% 49.55/16.75 | (186) all_77_1_70 = all_0_7_7
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (43) with one, all_0_7_7, all_63_1_53, all_77_1_70 and discharging atoms multiplication(one, all_0_7_7) = all_77_1_70, multiplication(one, all_0_7_7) = all_63_1_53, yields:
% 49.55/16.75 | (187) all_77_1_70 = all_63_1_53
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (27) with all_96_1_88, all_0_8_8 and discharging atoms multiplication(one, all_0_8_8) = all_96_1_88, yields:
% 49.55/16.75 | (188) all_96_1_88 = all_0_8_8
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (43) with one, all_0_8_8, all_79_1_72, all_96_1_88 and discharging atoms multiplication(one, all_0_8_8) = all_96_1_88, multiplication(one, all_0_8_8) = all_79_1_72, yields:
% 49.55/16.75 | (189) all_96_1_88 = all_79_1_72
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (27) with all_88_1_81, all_0_9_9 and discharging atoms multiplication(one, all_0_9_9) = all_88_1_81, yields:
% 49.55/16.75 | (190) all_88_1_81 = all_0_9_9
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (43) with one, all_0_9_9, all_58_1_42, all_88_1_81 and discharging atoms multiplication(one, all_0_9_9) = all_88_1_81, multiplication(one, all_0_9_9) = all_58_1_42, yields:
% 49.55/16.75 | (191) all_88_1_81 = all_58_1_42
% 49.55/16.75 |
% 49.55/16.75 | Instantiating formula (45) with all_54_0_39, all_0_6_6 and discharging atoms addition(all_0_6_6, all_0_6_6) = all_54_0_39, yields:
% 49.55/16.76 | (192) all_54_0_39 = all_0_6_6
% 49.55/16.76 |
% 49.55/16.76 | Combining equations (188,189) yields a new equation:
% 49.55/16.76 | (193) all_79_1_72 = all_0_8_8
% 49.55/16.76 |
% 49.55/16.76 | Combining equations (182,181) yields a new equation:
% 49.55/16.76 | (194) all_71_1_64 = all_0_8_8
% 49.55/16.76 |
% 49.55/16.76 | Simplifying 194 yields:
% 49.55/16.76 | (195) all_71_1_64 = all_0_8_8
% 49.55/16.76 |
% 49.55/16.76 | Combining equations (190,191) yields a new equation:
% 49.55/16.76 | (196) all_58_1_42 = all_0_9_9
% 49.55/16.76 |
% 49.55/16.76 | Combining equations (185,184) yields a new equation:
% 49.55/16.76 | (197) all_75_1_68 = all_0_9_9
% 49.55/16.76 |
% 49.55/16.76 | Simplifying 197 yields:
% 49.55/16.76 | (198) all_75_1_68 = all_0_9_9
% 49.55/16.76 |
% 49.55/16.76 | Combining equations (186,187) yields a new equation:
% 49.55/16.76 | (199) all_63_1_53 = all_0_7_7
% 49.55/16.76 |
% 49.55/16.76 | Combining equations (180,179) yields a new equation:
% 49.55/16.76 | (200) all_52_1_38 = all_0_7_7
% 49.55/16.76 |
% 49.55/16.76 | Simplifying 200 yields:
% 49.55/16.76 | (201) all_52_1_38 = all_0_7_7
% 49.55/16.76 |
% 49.55/16.76 | Combining equations (199,187) yields a new equation:
% 49.55/16.76 | (186) all_77_1_70 = all_0_7_7
% 49.55/16.76 |
% 49.55/16.76 | Combining equations (196,191) yields a new equation:
% 49.55/16.76 | (190) all_88_1_81 = all_0_9_9
% 49.55/16.76 |
% 49.55/16.76 | Combining equations (193,189) yields a new equation:
% 49.55/16.76 | (188) all_96_1_88 = all_0_8_8
% 49.55/16.76 |
% 49.55/16.76 | From (183) and (116) follows:
% 49.55/16.76 | (205) multiplication(all_0_2_2, all_0_6_6) = all_35_2_33
% 49.55/16.76 |
% 49.55/16.76 | From (201) and (120) follows:
% 49.55/16.76 | (206) multiplication(all_0_7_7, one) = all_0_7_7
% 49.55/16.76 |
% 49.55/16.76 | From (195) and (138) follows:
% 49.55/16.76 | (207) multiplication(all_0_8_8, one) = all_0_8_8
% 49.55/16.76 |
% 49.55/16.76 | From (183) and (117) follows:
% 49.55/16.76 | (32) multiplication(all_0_9_9, all_0_8_8) = all_0_6_6
% 49.55/16.76 |
% 49.55/16.76 | From (198) and (146) follows:
% 49.55/16.76 | (209) multiplication(all_0_9_9, one) = all_0_9_9
% 49.55/16.76 |
% 49.55/16.76 | From (199) and (134) follows:
% 49.55/16.76 | (210) multiplication(one, all_0_7_7) = all_0_7_7
% 49.55/16.76 |
% 49.55/16.76 | From (193) and (154) follows:
% 49.55/16.76 | (211) multiplication(one, all_0_8_8) = all_0_8_8
% 49.55/16.76 |
% 49.55/16.76 | From (196) and (130) follows:
% 49.55/16.76 | (212) multiplication(one, all_0_9_9) = all_0_9_9
% 49.55/16.76 |
% 49.55/16.76 | From (188) and (171) follows:
% 49.55/16.76 | (213) addition(all_0_8_8, all_96_0_87) = all_29_0_30
% 49.55/16.76 |
% 49.55/16.76 | From (181) and (167) follows:
% 49.55/16.76 | (214) addition(all_0_8_8, all_92_0_83) = all_23_0_26
% 49.55/16.76 |
% 49.55/16.76 | From (190) and (163) follows:
% 49.55/16.76 | (215) addition(all_0_9_9, all_88_0_80) = all_0_1_1
% 49.55/16.76 |
% 49.55/16.76 | From (184) and (159) follows:
% 49.55/16.76 | (216) addition(all_0_9_9, all_86_0_78) = all_0_3_3
% 49.55/16.76 |
% 49.55/16.76 | From (193) and (155) follows:
% 49.55/16.76 | (217) addition(all_0_8_8, all_79_0_71) = all_29_0_30
% 49.55/16.76 |
% 49.55/16.76 | From (186) and (151) follows:
% 49.55/16.76 | (218) addition(all_0_7_7, all_77_0_69) = all_19_0_23
% 49.55/16.76 |
% 49.55/16.76 | From (198) and (147) follows:
% 49.55/16.76 | (219) addition(all_0_9_9, all_75_0_67) = all_0_3_3
% 49.55/16.76 |
% 49.55/16.76 | From (179) and (143) follows:
% 49.55/16.76 | (220) addition(all_0_7_7, all_73_0_65) = all_27_0_29
% 49.55/16.76 |
% 49.55/16.76 | From (195) and (139) follows:
% 49.55/16.76 | (221) addition(all_0_8_8, all_71_0_63) = all_23_0_26
% 49.55/16.76 |
% 49.55/16.76 | From (199) and (135) follows:
% 49.55/16.76 | (222) addition(all_0_7_7, all_63_0_52) = all_19_0_23
% 49.55/16.76 |
% 49.55/16.76 | From (196) and (131) follows:
% 49.55/16.76 | (223) addition(all_0_9_9, all_58_0_41) = all_0_1_1
% 49.55/16.76 |
% 49.55/16.76 | From (192) and (123) follows:
% 49.55/16.76 | (52) addition(all_0_6_6, all_0_5_5) = all_0_5_5
% 49.55/16.76 |
% 49.55/16.76 | From (201) and (121) follows:
% 49.55/16.76 | (225) addition(all_0_7_7, all_52_0_37) = all_27_0_29
% 49.55/16.76 |
% 49.55/16.76 | From (192) and (124) follows:
% 49.55/16.76 | (226) addition(all_0_6_6, all_0_6_6) = all_0_6_6
% 49.55/16.76 |
% 49.55/16.76 | Instantiating formula (36) with all_63_0_52, all_27_0_29, all_0_7_7, all_0_2_2, all_0_7_7 and discharging atoms multiplication(all_27_0_29, all_0_7_7) = all_63_0_52, multiplication(all_0_7_7, all_0_2_2) = all_27_0_29, yields:
% 49.55/16.76 | (227) ? [v0] : (multiplication(all_0_2_2, all_0_7_7) = v0 & multiplication(all_0_7_7, v0) = all_63_0_52)
% 49.55/16.76 |
% 49.55/16.76 | Instantiating formula (36) with all_79_0_71, all_23_0_26, all_0_8_8, all_0_4_4, all_0_8_8 and discharging atoms multiplication(all_23_0_26, all_0_8_8) = all_79_0_71, multiplication(all_0_8_8, all_0_4_4) = all_23_0_26, yields:
% 49.55/16.76 | (228) ? [v0] : (multiplication(all_0_4_4, all_0_8_8) = v0 & multiplication(all_0_8_8, v0) = all_79_0_71)
% 49.55/16.76 |
% 49.55/16.76 | Instantiating formula (36) with all_58_0_41, all_19_0_23, all_0_9_9, all_0_7_7, all_0_2_2 and discharging atoms multiplication(all_19_0_23, all_0_9_9) = all_58_0_41, multiplication(all_0_2_2, all_0_7_7) = all_19_0_23, yields:
% 49.55/16.77 | (229) ? [v0] : (multiplication(all_0_2_2, v0) = all_58_0_41 & multiplication(all_0_7_7, all_0_9_9) = v0)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (37) with all_35_2_33, all_0_2_2, all_0_6_6, all_27_0_29, one and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_35_2_33, addition(one, all_27_0_29) = all_0_2_2, yields:
% 49.55/16.77 | (230) ? [v0] : ? [v1] : (multiplication(all_27_0_29, all_0_6_6) = v1 & multiplication(one, all_0_6_6) = v0 & addition(v0, v1) = all_35_2_33)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (37) with all_35_2_33, all_0_2_2, all_0_6_6, all_19_0_23, one and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_35_2_33, addition(one, all_19_0_23) = all_0_2_2, yields:
% 49.55/16.77 | (231) ? [v0] : ? [v1] : (multiplication(all_19_0_23, all_0_6_6) = v1 & multiplication(one, all_0_6_6) = v0 & addition(v0, v1) = all_35_2_33)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (17) with all_56_0_40, all_21_1_25, all_21_0_24, all_0_2_2, all_0_7_7 and discharging atoms multiplication(all_0_7_7, all_21_1_25) = all_56_0_40, addition(all_0_2_2, all_21_0_24) = all_21_1_25, yields:
% 49.55/16.77 | (232) ? [v0] : ? [v1] : (multiplication(all_0_7_7, all_21_0_24) = v1 & multiplication(all_0_7_7, all_0_2_2) = v0 & addition(v0, v1) = all_56_0_40)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (41) with all_73_0_65, all_19_0_23, all_0_7_7, all_0_2_2, all_0_7_7 and discharging atoms multiplication(all_0_2_2, all_0_7_7) = all_19_0_23, multiplication(all_0_7_7, all_19_0_23) = all_73_0_65, yields:
% 49.55/16.77 | (233) ? [v0] : (multiplication(v0, all_0_7_7) = all_73_0_65 & multiplication(all_0_7_7, all_0_2_2) = v0)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (41) with all_19_0_23, all_0_7_7, one, all_0_7_7, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_7_7) = all_19_0_23, multiplication(all_0_7_7, one) = all_0_7_7, yields:
% 49.55/16.77 | (234) ? [v0] : (multiplication(v0, one) = all_19_0_23 & multiplication(all_0_2_2, all_0_7_7) = v0)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (36) with all_27_0_29, all_0_7_7, all_0_2_2, one, all_0_7_7 and discharging atoms multiplication(all_0_7_7, all_0_2_2) = all_27_0_29, multiplication(all_0_7_7, one) = all_0_7_7, yields:
% 49.55/16.77 | (235) ? [v0] : (multiplication(all_0_7_7, v0) = all_27_0_29 & multiplication(one, all_0_2_2) = v0)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (41) with all_29_0_30, all_0_8_8, one, all_0_8_8, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_8_8) = all_29_0_30, multiplication(all_0_8_8, one) = all_0_8_8, yields:
% 49.55/16.77 | (236) ? [v0] : (multiplication(v0, one) = all_29_0_30 & multiplication(all_0_4_4, all_0_8_8) = v0)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (41) with all_0_6_6, all_0_8_8, one, all_0_8_8, all_0_9_9 and discharging atoms multiplication(all_0_8_8, one) = all_0_8_8, multiplication(all_0_9_9, all_0_8_8) = all_0_6_6, yields:
% 49.55/16.77 | (237) ? [v0] : (multiplication(v0, one) = all_0_6_6 & multiplication(all_0_9_9, all_0_8_8) = v0)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (41) with all_75_0_67, all_23_0_26, all_0_4_4, all_0_8_8, all_0_9_9 and discharging atoms multiplication(all_0_8_8, all_0_4_4) = all_23_0_26, multiplication(all_0_9_9, all_23_0_26) = all_75_0_67, yields:
% 49.55/16.77 | (238) ? [v0] : (multiplication(v0, all_0_4_4) = all_75_0_67 & multiplication(all_0_9_9, all_0_8_8) = v0)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (41) with all_0_5_5, all_0_9_9, one, all_0_9_9, all_0_7_7 and discharging atoms multiplication(all_0_7_7, all_0_9_9) = all_0_5_5, multiplication(all_0_9_9, one) = all_0_9_9, yields:
% 49.55/16.77 | (239) ? [v0] : (multiplication(v0, one) = all_0_5_5 & multiplication(all_0_7_7, all_0_9_9) = v0)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (41) with all_88_0_80, all_0_9_9, one, all_0_9_9, all_27_0_29 and discharging atoms multiplication(all_27_0_29, all_0_9_9) = all_88_0_80, multiplication(all_0_9_9, one) = all_0_9_9, yields:
% 49.55/16.77 | (240) ? [v0] : (multiplication(v0, one) = all_88_0_80 & multiplication(all_27_0_29, all_0_9_9) = v0)
% 49.55/16.77 |
% 49.55/16.77 | Instantiating formula (36) with all_27_0_29, all_0_7_7, all_0_2_2, all_0_7_7, one and discharging atoms multiplication(all_0_7_7, all_0_2_2) = all_27_0_29, multiplication(one, all_0_7_7) = all_0_7_7, yields:
% 49.55/16.77 | (241) ? [v0] : (multiplication(all_0_7_7, all_0_2_2) = v0 & multiplication(one, v0) = all_27_0_29)
% 49.70/16.77 |
% 49.70/16.77 | Instantiating formula (36) with all_0_5_5, all_0_7_7, all_0_9_9, all_0_7_7, one and discharging atoms multiplication(all_0_7_7, all_0_9_9) = all_0_5_5, multiplication(one, all_0_7_7) = all_0_7_7, yields:
% 49.70/16.77 | (242) ? [v0] : (multiplication(all_0_7_7, all_0_9_9) = v0 & multiplication(one, v0) = all_0_5_5)
% 49.70/16.77 |
% 49.70/16.77 | Instantiating formula (36) with all_73_0_65, all_0_7_7, all_19_0_23, all_0_7_7, one and discharging atoms multiplication(all_0_7_7, all_19_0_23) = all_73_0_65, multiplication(one, all_0_7_7) = all_0_7_7, yields:
% 49.70/16.77 | (243) ? [v0] : (multiplication(all_0_7_7, all_19_0_23) = v0 & multiplication(one, v0) = all_73_0_65)
% 49.70/16.77 |
% 49.70/16.77 | Instantiating formula (41) with all_35_2_33, all_0_8_8, all_0_8_8, one, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_8_8) = all_35_2_33, multiplication(one, all_0_8_8) = all_0_8_8, yields:
% 49.70/16.77 | (244) ? [v0] : (multiplication(v0, all_0_8_8) = all_35_2_33 & multiplication(all_0_1_1, one) = v0)
% 49.70/16.77 |
% 49.70/16.77 | Instantiating formula (36) with all_92_0_83, all_0_8_8, all_29_0_30, all_0_8_8, one and discharging atoms multiplication(all_0_8_8, all_29_0_30) = all_92_0_83, multiplication(one, all_0_8_8) = all_0_8_8, yields:
% 49.70/16.77 | (245) ? [v0] : (multiplication(all_0_8_8, all_29_0_30) = v0 & multiplication(one, v0) = all_92_0_83)
% 49.70/16.77 |
% 49.70/16.77 | Instantiating formula (36) with all_0_6_6, all_0_9_9, all_0_8_8, all_0_9_9, one and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_0_6_6, multiplication(one, all_0_9_9) = all_0_9_9, yields:
% 49.70/16.77 | (246) ? [v0] : (multiplication(all_0_9_9, all_0_8_8) = v0 & multiplication(one, v0) = all_0_6_6)
% 49.70/16.77 |
% 49.70/16.77 | Instantiating formula (36) with all_86_0_78, all_0_9_9, all_29_0_30, all_0_9_9, one and discharging atoms multiplication(all_0_9_9, all_29_0_30) = all_86_0_78, multiplication(one, all_0_9_9) = all_0_9_9, yields:
% 49.70/16.77 | (247) ? [v0] : (multiplication(all_0_9_9, all_29_0_30) = v0 & multiplication(one, v0) = all_86_0_78)
% 49.70/16.77 |
% 49.70/16.77 | Instantiating formula (29) with all_104_0_95, all_35_1_32, all_35_2_33, all_0_9_9, all_0_1_1 and discharging atoms addition(all_35_1_32, all_0_1_1) = all_104_0_95, addition(all_35_2_33, all_0_9_9) = all_35_1_32, yields:
% 49.70/16.77 | (248) ? [v0] : (addition(all_35_2_33, v0) = all_104_0_95 & addition(all_0_9_9, all_0_1_1) = v0)
% 49.70/16.77 |
% 49.70/16.77 | Instantiating formula (13) with all_104_0_95, all_35_1_32, all_0_1_1 and discharging atoms addition(all_35_1_32, all_0_1_1) = all_104_0_95, yields:
% 49.70/16.77 | (249) addition(all_0_1_1, all_35_1_32) = all_104_0_95
% 49.70/16.77 |
% 49.70/16.77 | Instantiating formula (17) with all_23_0_26, all_0_4_4, one, all_29_0_30, all_0_8_8 and discharging atoms multiplication(all_0_8_8, all_0_4_4) = all_23_0_26, addition(all_29_0_30, one) = all_0_4_4, yields:
% 49.70/16.77 | (250) ? [v0] : ? [v1] : (multiplication(all_0_8_8, all_29_0_30) = v0 & multiplication(all_0_8_8, one) = v1 & addition(v0, v1) = all_23_0_26)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (17) with all_0_3_3, all_0_4_4, one, all_29_0_30, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_4_4) = all_0_3_3, addition(all_29_0_30, one) = all_0_4_4, yields:
% 49.70/16.78 | (251) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_29_0_30) = v0 & multiplication(all_0_9_9, one) = v1 & addition(v0, v1) = all_0_3_3)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (37) with all_0_1_1, all_0_2_2, all_0_9_9, one, all_27_0_29 and discharging atoms multiplication(all_0_2_2, all_0_9_9) = all_0_1_1, addition(all_27_0_29, one) = all_0_2_2, yields:
% 49.70/16.78 | (252) ? [v0] : ? [v1] : (multiplication(all_27_0_29, all_0_9_9) = v0 & multiplication(one, all_0_9_9) = v1 & addition(v0, v1) = all_0_1_1)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (37) with all_35_2_33, all_0_2_2, all_0_6_6, one, all_27_0_29 and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_35_2_33, addition(all_27_0_29, one) = all_0_2_2, yields:
% 49.70/16.78 | (253) ? [v0] : ? [v1] : (multiplication(all_27_0_29, all_0_6_6) = v0 & multiplication(one, all_0_6_6) = v1 & addition(v0, v1) = all_35_2_33)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (17) with all_0_3_3, all_0_4_4, one, all_23_0_26, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_4_4) = all_0_3_3, addition(all_23_0_26, one) = all_0_4_4, yields:
% 49.70/16.78 | (254) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_23_0_26) = v0 & multiplication(all_0_9_9, one) = v1 & addition(v0, v1) = all_0_3_3)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (17) with all_56_0_40, all_21_1_25, all_0_2_2, all_21_0_24, all_0_7_7 and discharging atoms multiplication(all_0_7_7, all_21_1_25) = all_56_0_40, addition(all_21_0_24, all_0_2_2) = all_21_1_25, yields:
% 49.70/16.78 | (255) ? [v0] : ? [v1] : (multiplication(all_0_7_7, all_21_0_24) = v0 & multiplication(all_0_7_7, all_0_2_2) = v1 & addition(v0, v1) = all_56_0_40)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (37) with all_0_1_1, all_0_2_2, all_0_9_9, one, all_19_0_23 and discharging atoms multiplication(all_0_2_2, all_0_9_9) = all_0_1_1, addition(all_19_0_23, one) = all_0_2_2, yields:
% 49.70/16.78 | (256) ? [v0] : ? [v1] : (multiplication(all_19_0_23, all_0_9_9) = v0 & multiplication(one, all_0_9_9) = v1 & addition(v0, v1) = all_0_1_1)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (17) with all_27_0_29, all_0_2_2, one, all_19_0_23, all_0_7_7 and discharging atoms multiplication(all_0_7_7, all_0_2_2) = all_27_0_29, addition(all_19_0_23, one) = all_0_2_2, yields:
% 49.70/16.78 | (257) ? [v0] : ? [v1] : (multiplication(all_0_7_7, all_19_0_23) = v0 & multiplication(all_0_7_7, one) = v1 & addition(v0, v1) = all_27_0_29)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (37) with all_35_2_33, all_0_2_2, all_0_6_6, one, all_19_0_23 and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_35_2_33, addition(all_19_0_23, one) = all_0_2_2, yields:
% 49.70/16.78 | (258) ? [v0] : ? [v1] : (multiplication(all_19_0_23, all_0_6_6) = v0 & multiplication(one, all_0_6_6) = v1 & addition(v0, v1) = all_35_2_33)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (42) with all_0_6_6, all_0_6_6, all_0_6_6, all_0_8_8, all_0_9_9, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_0_6_6, addition(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 49.70/16.78 | (259) ? [v0] : (multiplication(v0, all_0_8_8) = all_0_6_6 & addition(all_0_9_9, all_0_9_9) = v0)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (17) with all_35_2_33, all_0_6_6, all_0_6_6, all_0_6_6, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_35_2_33, addition(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 49.70/16.78 | (260) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_6_6) = v1 & multiplication(all_0_2_2, all_0_6_6) = v0 & addition(v0, v1) = all_35_2_33)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (37) with all_58_0_41, all_19_0_23, all_0_9_9, all_77_0_69, all_0_7_7 and discharging atoms multiplication(all_19_0_23, all_0_9_9) = all_58_0_41, addition(all_0_7_7, all_77_0_69) = all_19_0_23, yields:
% 49.70/16.78 | (261) ? [v0] : ? [v1] : (multiplication(all_77_0_69, all_0_9_9) = v1 & multiplication(all_0_7_7, all_0_9_9) = v0 & addition(v0, v1) = all_58_0_41)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (37) with all_88_0_80, all_27_0_29, all_0_9_9, all_73_0_65, all_0_7_7 and discharging atoms multiplication(all_27_0_29, all_0_9_9) = all_88_0_80, addition(all_0_7_7, all_73_0_65) = all_27_0_29, yields:
% 49.70/16.78 | (262) ? [v0] : ? [v1] : (multiplication(all_73_0_65, all_0_9_9) = v1 & multiplication(all_0_7_7, all_0_9_9) = v0 & addition(v0, v1) = all_88_0_80)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (37) with all_58_0_41, all_19_0_23, all_0_9_9, all_63_0_52, all_0_7_7 and discharging atoms multiplication(all_19_0_23, all_0_9_9) = all_58_0_41, addition(all_0_7_7, all_63_0_52) = all_19_0_23, yields:
% 49.70/16.78 | (263) ? [v0] : ? [v1] : (multiplication(all_63_0_52, all_0_9_9) = v1 & multiplication(all_0_7_7, all_0_9_9) = v0 & addition(v0, v1) = all_58_0_41)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (37) with all_88_0_80, all_27_0_29, all_0_9_9, all_52_0_37, all_0_7_7 and discharging atoms multiplication(all_27_0_29, all_0_9_9) = all_88_0_80, addition(all_0_7_7, all_52_0_37) = all_27_0_29, yields:
% 49.70/16.78 | (264) ? [v0] : ? [v1] : (multiplication(all_52_0_37, all_0_9_9) = v1 & multiplication(all_0_7_7, all_0_9_9) = v0 & addition(v0, v1) = all_88_0_80)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (17) with all_86_0_78, all_29_0_30, all_96_0_87, all_0_8_8, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_29_0_30) = all_86_0_78, addition(all_0_8_8, all_96_0_87) = all_29_0_30, yields:
% 49.70/16.78 | (265) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_96_0_87) = v1 & multiplication(all_0_9_9, all_0_8_8) = v0 & addition(v0, v1) = all_86_0_78)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (17) with all_75_0_67, all_23_0_26, all_92_0_83, all_0_8_8, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_23_0_26) = all_75_0_67, addition(all_0_8_8, all_92_0_83) = all_23_0_26, yields:
% 49.70/16.78 | (266) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_92_0_83) = v1 & multiplication(all_0_9_9, all_0_8_8) = v0 & addition(v0, v1) = all_75_0_67)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (17) with all_86_0_78, all_29_0_30, all_79_0_71, all_0_8_8, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_29_0_30) = all_86_0_78, addition(all_0_8_8, all_79_0_71) = all_29_0_30, yields:
% 49.70/16.78 | (267) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_79_0_71) = v1 & multiplication(all_0_9_9, all_0_8_8) = v0 & addition(v0, v1) = all_86_0_78)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (17) with all_75_0_67, all_23_0_26, all_71_0_63, all_0_8_8, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_23_0_26) = all_75_0_67, addition(all_0_8_8, all_71_0_63) = all_23_0_26, yields:
% 49.70/16.78 | (268) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_71_0_63) = v1 & multiplication(all_0_9_9, all_0_8_8) = v0 & addition(v0, v1) = all_75_0_67)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (37) with all_35_2_33, all_0_1_1, all_0_8_8, all_88_0_80, all_0_9_9 and discharging atoms multiplication(all_0_1_1, all_0_8_8) = all_35_2_33, addition(all_0_9_9, all_88_0_80) = all_0_1_1, yields:
% 49.70/16.78 | (269) ? [v0] : ? [v1] : (multiplication(all_88_0_80, all_0_8_8) = v1 & multiplication(all_0_9_9, all_0_8_8) = v0 & addition(v0, v1) = all_35_2_33)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (22) with all_40_0_34, all_0_1_1, all_0_3_3, all_0_9_9, all_88_0_80 and discharging atoms addition(all_0_3_3, all_0_1_1) = all_40_0_34, addition(all_0_9_9, all_88_0_80) = all_0_1_1, yields:
% 49.70/16.78 | (270) ? [v0] : (addition(v0, all_88_0_80) = all_40_0_34 & addition(all_0_3_3, all_0_9_9) = v0)
% 49.70/16.78 |
% 49.70/16.78 | Instantiating formula (22) with all_104_0_95, all_0_1_1, all_35_1_32, all_0_9_9, all_88_0_80 and discharging atoms addition(all_35_1_32, all_0_1_1) = all_104_0_95, addition(all_0_9_9, all_88_0_80) = all_0_1_1, yields:
% 49.70/16.79 | (271) ? [v0] : (addition(v0, all_88_0_80) = all_104_0_95 & addition(all_35_1_32, all_0_9_9) = v0)
% 49.70/16.79 |
% 49.70/16.79 | Instantiating formula (22) with all_40_0_34, all_0_3_3, all_0_1_1, all_0_9_9, all_86_0_78 and discharging atoms addition(all_0_1_1, all_0_3_3) = all_40_0_34, addition(all_0_9_9, all_86_0_78) = all_0_3_3, yields:
% 49.70/16.79 | (272) ? [v0] : (addition(v0, all_86_0_78) = all_40_0_34 & addition(all_0_1_1, all_0_9_9) = v0)
% 49.70/16.79 |
% 49.70/16.79 | Instantiating formula (22) with all_40_0_34, all_0_3_3, all_0_1_1, all_0_9_9, all_75_0_67 and discharging atoms addition(all_0_1_1, all_0_3_3) = all_40_0_34, addition(all_0_9_9, all_75_0_67) = all_0_3_3, yields:
% 49.70/16.79 | (273) ? [v0] : (addition(v0, all_75_0_67) = all_40_0_34 & addition(all_0_1_1, all_0_9_9) = v0)
% 49.70/16.79 |
% 49.70/16.79 | Instantiating formula (22) with all_40_0_34, all_0_1_1, all_0_3_3, all_0_9_9, all_58_0_41 and discharging atoms addition(all_0_3_3, all_0_1_1) = all_40_0_34, addition(all_0_9_9, all_58_0_41) = all_0_1_1, yields:
% 49.70/16.79 | (274) ? [v0] : (addition(v0, all_58_0_41) = all_40_0_34 & addition(all_0_3_3, all_0_9_9) = v0)
% 49.70/16.79 |
% 49.70/16.79 | Instantiating formula (22) with all_104_0_95, all_0_1_1, all_35_1_32, all_0_9_9, all_58_0_41 and discharging atoms addition(all_35_1_32, all_0_1_1) = all_104_0_95, addition(all_0_9_9, all_58_0_41) = all_0_1_1, yields:
% 49.70/16.79 | (275) ? [v0] : (addition(v0, all_58_0_41) = all_104_0_95 & addition(all_35_1_32, all_0_9_9) = v0)
% 49.70/16.79 |
% 49.70/16.79 | Instantiating formula (29) with all_104_0_95, all_35_1_32, all_0_9_9, all_35_2_33, all_0_1_1 and discharging atoms addition(all_35_1_32, all_0_1_1) = all_104_0_95, addition(all_0_9_9, all_35_2_33) = all_35_1_32, yields:
% 49.70/16.79 | (276) ? [v0] : (addition(all_35_2_33, all_0_1_1) = v0 & addition(all_0_9_9, v0) = all_104_0_95)
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (272) with all_123_0_112 yields:
% 49.70/16.79 | (277) addition(all_123_0_112, all_86_0_78) = all_40_0_34 & addition(all_0_1_1, all_0_9_9) = all_123_0_112
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (277) yields:
% 49.70/16.79 | (278) addition(all_123_0_112, all_86_0_78) = all_40_0_34
% 49.70/16.79 | (279) addition(all_0_1_1, all_0_9_9) = all_123_0_112
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (269) with all_135_0_129, all_135_1_130 yields:
% 49.70/16.79 | (280) multiplication(all_88_0_80, all_0_8_8) = all_135_0_129 & multiplication(all_0_9_9, all_0_8_8) = all_135_1_130 & addition(all_135_1_130, all_135_0_129) = all_35_2_33
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (280) yields:
% 49.70/16.79 | (281) multiplication(all_88_0_80, all_0_8_8) = all_135_0_129
% 49.70/16.79 | (282) multiplication(all_0_9_9, all_0_8_8) = all_135_1_130
% 49.70/16.79 | (283) addition(all_135_1_130, all_135_0_129) = all_35_2_33
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (268) with all_141_0_143, all_141_1_144 yields:
% 49.70/16.79 | (284) multiplication(all_0_9_9, all_71_0_63) = all_141_0_143 & multiplication(all_0_9_9, all_0_8_8) = all_141_1_144 & addition(all_141_1_144, all_141_0_143) = all_75_0_67
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (284) yields:
% 49.70/16.79 | (285) multiplication(all_0_9_9, all_71_0_63) = all_141_0_143
% 49.70/16.79 | (286) multiplication(all_0_9_9, all_0_8_8) = all_141_1_144
% 49.70/16.79 | (287) addition(all_141_1_144, all_141_0_143) = all_75_0_67
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (263) with all_157_0_169, all_157_1_170 yields:
% 49.70/16.79 | (288) multiplication(all_63_0_52, all_0_9_9) = all_157_0_169 & multiplication(all_0_7_7, all_0_9_9) = all_157_1_170 & addition(all_157_1_170, all_157_0_169) = all_58_0_41
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (288) yields:
% 49.70/16.79 | (289) multiplication(all_63_0_52, all_0_9_9) = all_157_0_169
% 49.70/16.79 | (290) multiplication(all_0_7_7, all_0_9_9) = all_157_1_170
% 49.70/16.79 | (291) addition(all_157_1_170, all_157_0_169) = all_58_0_41
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (261) with all_164_0_177, all_164_1_178 yields:
% 49.70/16.79 | (292) multiplication(all_77_0_69, all_0_9_9) = all_164_0_177 & multiplication(all_0_7_7, all_0_9_9) = all_164_1_178 & addition(all_164_1_178, all_164_0_177) = all_58_0_41
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (292) yields:
% 49.70/16.79 | (293) multiplication(all_77_0_69, all_0_9_9) = all_164_0_177
% 49.70/16.79 | (294) multiplication(all_0_7_7, all_0_9_9) = all_164_1_178
% 49.70/16.79 | (295) addition(all_164_1_178, all_164_0_177) = all_58_0_41
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (276) with all_176_0_193 yields:
% 49.70/16.79 | (296) addition(all_35_2_33, all_0_1_1) = all_176_0_193 & addition(all_0_9_9, all_176_0_193) = all_104_0_95
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (296) yields:
% 49.70/16.79 | (297) addition(all_35_2_33, all_0_1_1) = all_176_0_193
% 49.70/16.79 | (298) addition(all_0_9_9, all_176_0_193) = all_104_0_95
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (260) with all_201_0_227, all_201_1_228 yields:
% 49.70/16.79 | (299) multiplication(all_0_2_2, all_0_6_6) = all_201_0_227 & multiplication(all_0_2_2, all_0_6_6) = all_201_1_228 & addition(all_201_1_228, all_201_0_227) = all_35_2_33
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (299) yields:
% 49.70/16.79 | (300) multiplication(all_0_2_2, all_0_6_6) = all_201_0_227
% 49.70/16.79 | (301) multiplication(all_0_2_2, all_0_6_6) = all_201_1_228
% 49.70/16.79 | (302) addition(all_201_1_228, all_201_0_227) = all_35_2_33
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (259) with all_209_0_238 yields:
% 49.70/16.79 | (303) multiplication(all_209_0_238, all_0_8_8) = all_0_6_6 & addition(all_0_9_9, all_0_9_9) = all_209_0_238
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (303) yields:
% 49.70/16.79 | (304) multiplication(all_209_0_238, all_0_8_8) = all_0_6_6
% 49.70/16.79 | (305) addition(all_0_9_9, all_0_9_9) = all_209_0_238
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (257) with all_213_0_241, all_213_1_242 yields:
% 49.70/16.79 | (306) multiplication(all_0_7_7, all_19_0_23) = all_213_1_242 & multiplication(all_0_7_7, one) = all_213_0_241 & addition(all_213_1_242, all_213_0_241) = all_27_0_29
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (306) yields:
% 49.70/16.79 | (307) multiplication(all_0_7_7, all_19_0_23) = all_213_1_242
% 49.70/16.79 | (308) multiplication(all_0_7_7, one) = all_213_0_241
% 49.70/16.79 | (309) addition(all_213_1_242, all_213_0_241) = all_27_0_29
% 49.70/16.79 |
% 49.70/16.79 | Instantiating (256) with all_215_0_243, all_215_1_244 yields:
% 49.70/16.79 | (310) multiplication(all_19_0_23, all_0_9_9) = all_215_1_244 & multiplication(one, all_0_9_9) = all_215_0_243 & addition(all_215_1_244, all_215_0_243) = all_0_1_1
% 49.70/16.79 |
% 49.70/16.79 | Applying alpha-rule on (310) yields:
% 49.70/16.79 | (311) multiplication(all_19_0_23, all_0_9_9) = all_215_1_244
% 49.70/16.79 | (312) multiplication(one, all_0_9_9) = all_215_0_243
% 49.70/16.80 | (313) addition(all_215_1_244, all_215_0_243) = all_0_1_1
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (255) with all_236_0_267, all_236_1_268 yields:
% 49.70/16.80 | (314) multiplication(all_0_7_7, all_21_0_24) = all_236_1_268 & multiplication(all_0_7_7, all_0_2_2) = all_236_0_267 & addition(all_236_1_268, all_236_0_267) = all_56_0_40
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (314) yields:
% 49.70/16.80 | (315) multiplication(all_0_7_7, all_21_0_24) = all_236_1_268
% 49.70/16.80 | (316) multiplication(all_0_7_7, all_0_2_2) = all_236_0_267
% 49.70/16.80 | (317) addition(all_236_1_268, all_236_0_267) = all_56_0_40
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (254) with all_238_0_269, all_238_1_270 yields:
% 49.70/16.80 | (318) multiplication(all_0_9_9, all_23_0_26) = all_238_1_270 & multiplication(all_0_9_9, one) = all_238_0_269 & addition(all_238_1_270, all_238_0_269) = all_0_3_3
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (318) yields:
% 49.70/16.80 | (319) multiplication(all_0_9_9, all_23_0_26) = all_238_1_270
% 49.70/16.80 | (320) multiplication(all_0_9_9, one) = all_238_0_269
% 49.70/16.80 | (321) addition(all_238_1_270, all_238_0_269) = all_0_3_3
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (258) with all_305_0_375, all_305_1_376 yields:
% 49.70/16.80 | (322) multiplication(all_19_0_23, all_0_6_6) = all_305_1_376 & multiplication(one, all_0_6_6) = all_305_0_375 & addition(all_305_1_376, all_305_0_375) = all_35_2_33
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (322) yields:
% 49.70/16.80 | (323) multiplication(all_19_0_23, all_0_6_6) = all_305_1_376
% 49.70/16.80 | (324) multiplication(one, all_0_6_6) = all_305_0_375
% 49.70/16.80 | (325) addition(all_305_1_376, all_305_0_375) = all_35_2_33
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (262) with all_316_0_392, all_316_1_393 yields:
% 49.70/16.80 | (326) multiplication(all_73_0_65, all_0_9_9) = all_316_0_392 & multiplication(all_0_7_7, all_0_9_9) = all_316_1_393 & addition(all_316_1_393, all_316_0_392) = all_88_0_80
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (326) yields:
% 49.70/16.80 | (327) multiplication(all_73_0_65, all_0_9_9) = all_316_0_392
% 49.70/16.80 | (328) multiplication(all_0_7_7, all_0_9_9) = all_316_1_393
% 49.70/16.80 | (329) addition(all_316_1_393, all_316_0_392) = all_88_0_80
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (267) with all_339_0_437, all_339_1_438 yields:
% 49.70/16.80 | (330) multiplication(all_0_9_9, all_79_0_71) = all_339_0_437 & multiplication(all_0_9_9, all_0_8_8) = all_339_1_438 & addition(all_339_1_438, all_339_0_437) = all_86_0_78
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (330) yields:
% 49.70/16.80 | (331) multiplication(all_0_9_9, all_79_0_71) = all_339_0_437
% 49.70/16.80 | (332) multiplication(all_0_9_9, all_0_8_8) = all_339_1_438
% 49.70/16.80 | (333) addition(all_339_1_438, all_339_0_437) = all_86_0_78
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (274) with all_347_0_452 yields:
% 49.70/16.80 | (334) addition(all_347_0_452, all_58_0_41) = all_40_0_34 & addition(all_0_3_3, all_0_9_9) = all_347_0_452
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (334) yields:
% 49.70/16.80 | (335) addition(all_347_0_452, all_58_0_41) = all_40_0_34
% 49.70/16.80 | (336) addition(all_0_3_3, all_0_9_9) = all_347_0_452
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (275) with all_352_0_462 yields:
% 49.70/16.80 | (337) addition(all_352_0_462, all_58_0_41) = all_104_0_95 & addition(all_35_1_32, all_0_9_9) = all_352_0_462
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (337) yields:
% 49.70/16.80 | (338) addition(all_352_0_462, all_58_0_41) = all_104_0_95
% 49.70/16.80 | (339) addition(all_35_1_32, all_0_9_9) = all_352_0_462
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (253) with all_376_0_491, all_376_1_492 yields:
% 49.70/16.80 | (340) multiplication(all_27_0_29, all_0_6_6) = all_376_1_492 & multiplication(one, all_0_6_6) = all_376_0_491 & addition(all_376_1_492, all_376_0_491) = all_35_2_33
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (340) yields:
% 49.70/16.80 | (341) multiplication(all_27_0_29, all_0_6_6) = all_376_1_492
% 49.70/16.80 | (342) multiplication(one, all_0_6_6) = all_376_0_491
% 49.70/16.80 | (343) addition(all_376_1_492, all_376_0_491) = all_35_2_33
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (252) with all_387_0_511, all_387_1_512 yields:
% 49.70/16.80 | (344) multiplication(all_27_0_29, all_0_9_9) = all_387_1_512 & multiplication(one, all_0_9_9) = all_387_0_511 & addition(all_387_1_512, all_387_0_511) = all_0_1_1
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (344) yields:
% 49.70/16.80 | (345) multiplication(all_27_0_29, all_0_9_9) = all_387_1_512
% 49.70/16.80 | (346) multiplication(one, all_0_9_9) = all_387_0_511
% 49.70/16.80 | (347) addition(all_387_1_512, all_387_0_511) = all_0_1_1
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (248) with all_398_0_527 yields:
% 49.70/16.80 | (348) addition(all_35_2_33, all_398_0_527) = all_104_0_95 & addition(all_0_9_9, all_0_1_1) = all_398_0_527
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (348) yields:
% 49.70/16.80 | (349) addition(all_35_2_33, all_398_0_527) = all_104_0_95
% 49.70/16.80 | (350) addition(all_0_9_9, all_0_1_1) = all_398_0_527
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (244) with all_414_0_540 yields:
% 49.70/16.80 | (351) multiplication(all_414_0_540, all_0_8_8) = all_35_2_33 & multiplication(all_0_1_1, one) = all_414_0_540
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (351) yields:
% 49.70/16.80 | (352) multiplication(all_414_0_540, all_0_8_8) = all_35_2_33
% 49.70/16.80 | (353) multiplication(all_0_1_1, one) = all_414_0_540
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (242) with all_420_0_543 yields:
% 49.70/16.80 | (354) multiplication(all_0_7_7, all_0_9_9) = all_420_0_543 & multiplication(one, all_420_0_543) = all_0_5_5
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (354) yields:
% 49.70/16.80 | (355) multiplication(all_0_7_7, all_0_9_9) = all_420_0_543
% 49.70/16.80 | (356) multiplication(one, all_420_0_543) = all_0_5_5
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (246) with all_426_0_547 yields:
% 49.70/16.80 | (357) multiplication(all_0_9_9, all_0_8_8) = all_426_0_547 & multiplication(one, all_426_0_547) = all_0_6_6
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (357) yields:
% 49.70/16.80 | (358) multiplication(all_0_9_9, all_0_8_8) = all_426_0_547
% 49.70/16.80 | (359) multiplication(one, all_426_0_547) = all_0_6_6
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (245) with all_432_0_550 yields:
% 49.70/16.80 | (360) multiplication(all_0_8_8, all_29_0_30) = all_432_0_550 & multiplication(one, all_432_0_550) = all_92_0_83
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (360) yields:
% 49.70/16.80 | (361) multiplication(all_0_8_8, all_29_0_30) = all_432_0_550
% 49.70/16.80 | (362) multiplication(one, all_432_0_550) = all_92_0_83
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (243) with all_446_0_557 yields:
% 49.70/16.80 | (363) multiplication(all_0_7_7, all_19_0_23) = all_446_0_557 & multiplication(one, all_446_0_557) = all_73_0_65
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (363) yields:
% 49.70/16.80 | (364) multiplication(all_0_7_7, all_19_0_23) = all_446_0_557
% 49.70/16.80 | (365) multiplication(one, all_446_0_557) = all_73_0_65
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (241) with all_448_0_558 yields:
% 49.70/16.80 | (366) multiplication(all_0_7_7, all_0_2_2) = all_448_0_558 & multiplication(one, all_448_0_558) = all_27_0_29
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (366) yields:
% 49.70/16.80 | (367) multiplication(all_0_7_7, all_0_2_2) = all_448_0_558
% 49.70/16.80 | (368) multiplication(one, all_448_0_558) = all_27_0_29
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (247) with all_452_0_560 yields:
% 49.70/16.80 | (369) multiplication(all_0_9_9, all_29_0_30) = all_452_0_560 & multiplication(one, all_452_0_560) = all_86_0_78
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (369) yields:
% 49.70/16.80 | (370) multiplication(all_0_9_9, all_29_0_30) = all_452_0_560
% 49.70/16.80 | (371) multiplication(one, all_452_0_560) = all_86_0_78
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (240) with all_456_0_562 yields:
% 49.70/16.80 | (372) multiplication(all_456_0_562, one) = all_88_0_80 & multiplication(all_27_0_29, all_0_9_9) = all_456_0_562
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (372) yields:
% 49.70/16.80 | (373) multiplication(all_456_0_562, one) = all_88_0_80
% 49.70/16.80 | (374) multiplication(all_27_0_29, all_0_9_9) = all_456_0_562
% 49.70/16.80 |
% 49.70/16.80 | Instantiating (239) with all_464_0_566 yields:
% 49.70/16.80 | (375) multiplication(all_464_0_566, one) = all_0_5_5 & multiplication(all_0_7_7, all_0_9_9) = all_464_0_566
% 49.70/16.80 |
% 49.70/16.80 | Applying alpha-rule on (375) yields:
% 49.70/16.80 | (376) multiplication(all_464_0_566, one) = all_0_5_5
% 49.70/16.81 | (377) multiplication(all_0_7_7, all_0_9_9) = all_464_0_566
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (231) with all_470_0_571, all_470_1_572 yields:
% 49.70/16.81 | (378) multiplication(all_19_0_23, all_0_6_6) = all_470_0_571 & multiplication(one, all_0_6_6) = all_470_1_572 & addition(all_470_1_572, all_470_0_571) = all_35_2_33
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (378) yields:
% 49.70/16.81 | (379) multiplication(all_19_0_23, all_0_6_6) = all_470_0_571
% 49.70/16.81 | (380) multiplication(one, all_0_6_6) = all_470_1_572
% 49.70/16.81 | (381) addition(all_470_1_572, all_470_0_571) = all_35_2_33
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (229) with all_480_0_577 yields:
% 49.70/16.81 | (382) multiplication(all_0_2_2, all_480_0_577) = all_58_0_41 & multiplication(all_0_7_7, all_0_9_9) = all_480_0_577
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (382) yields:
% 49.70/16.81 | (383) multiplication(all_0_2_2, all_480_0_577) = all_58_0_41
% 49.70/16.81 | (384) multiplication(all_0_7_7, all_0_9_9) = all_480_0_577
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (236) with all_484_0_579 yields:
% 49.70/16.81 | (385) multiplication(all_484_0_579, one) = all_29_0_30 & multiplication(all_0_4_4, all_0_8_8) = all_484_0_579
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (385) yields:
% 49.70/16.81 | (386) multiplication(all_484_0_579, one) = all_29_0_30
% 49.70/16.81 | (387) multiplication(all_0_4_4, all_0_8_8) = all_484_0_579
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (237) with all_486_0_580 yields:
% 49.70/16.81 | (388) multiplication(all_486_0_580, one) = all_0_6_6 & multiplication(all_0_9_9, all_0_8_8) = all_486_0_580
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (388) yields:
% 49.70/16.81 | (389) multiplication(all_486_0_580, one) = all_0_6_6
% 49.70/16.81 | (390) multiplication(all_0_9_9, all_0_8_8) = all_486_0_580
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (273) with all_492_0_583 yields:
% 49.70/16.81 | (391) addition(all_492_0_583, all_75_0_67) = all_40_0_34 & addition(all_0_1_1, all_0_9_9) = all_492_0_583
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (391) yields:
% 49.70/16.81 | (392) addition(all_492_0_583, all_75_0_67) = all_40_0_34
% 49.70/16.81 | (393) addition(all_0_1_1, all_0_9_9) = all_492_0_583
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (228) with all_500_0_588 yields:
% 49.70/16.81 | (394) multiplication(all_0_4_4, all_0_8_8) = all_500_0_588 & multiplication(all_0_8_8, all_500_0_588) = all_79_0_71
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (394) yields:
% 49.70/16.81 | (395) multiplication(all_0_4_4, all_0_8_8) = all_500_0_588
% 49.70/16.81 | (396) multiplication(all_0_8_8, all_500_0_588) = all_79_0_71
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (266) with all_504_0_595, all_504_1_596 yields:
% 49.70/16.81 | (397) multiplication(all_0_9_9, all_92_0_83) = all_504_0_595 & multiplication(all_0_9_9, all_0_8_8) = all_504_1_596 & addition(all_504_1_596, all_504_0_595) = all_75_0_67
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (397) yields:
% 49.70/16.81 | (398) multiplication(all_0_9_9, all_92_0_83) = all_504_0_595
% 49.70/16.81 | (399) multiplication(all_0_9_9, all_0_8_8) = all_504_1_596
% 49.70/16.81 | (400) addition(all_504_1_596, all_504_0_595) = all_75_0_67
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (230) with all_516_0_612, all_516_1_613 yields:
% 49.70/16.81 | (401) multiplication(all_27_0_29, all_0_6_6) = all_516_0_612 & multiplication(one, all_0_6_6) = all_516_1_613 & addition(all_516_1_613, all_516_0_612) = all_35_2_33
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (401) yields:
% 49.70/16.81 | (402) multiplication(all_27_0_29, all_0_6_6) = all_516_0_612
% 49.70/16.81 | (403) multiplication(one, all_0_6_6) = all_516_1_613
% 49.70/16.81 | (404) addition(all_516_1_613, all_516_0_612) = all_35_2_33
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (265) with all_530_0_645, all_530_1_646 yields:
% 49.70/16.81 | (405) multiplication(all_0_9_9, all_96_0_87) = all_530_0_645 & multiplication(all_0_9_9, all_0_8_8) = all_530_1_646 & addition(all_530_1_646, all_530_0_645) = all_86_0_78
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (405) yields:
% 49.70/16.81 | (406) multiplication(all_0_9_9, all_96_0_87) = all_530_0_645
% 49.70/16.81 | (407) multiplication(all_0_9_9, all_0_8_8) = all_530_1_646
% 49.70/16.81 | (408) addition(all_530_1_646, all_530_0_645) = all_86_0_78
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (251) with all_552_0_684, all_552_1_685 yields:
% 49.70/16.81 | (409) multiplication(all_0_9_9, all_29_0_30) = all_552_1_685 & multiplication(all_0_9_9, one) = all_552_0_684 & addition(all_552_1_685, all_552_0_684) = all_0_3_3
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (409) yields:
% 49.70/16.81 | (410) multiplication(all_0_9_9, all_29_0_30) = all_552_1_685
% 49.70/16.81 | (411) multiplication(all_0_9_9, one) = all_552_0_684
% 49.70/16.81 | (412) addition(all_552_1_685, all_552_0_684) = all_0_3_3
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (250) with all_559_0_691, all_559_1_692 yields:
% 49.70/16.81 | (413) multiplication(all_0_8_8, all_29_0_30) = all_559_1_692 & multiplication(all_0_8_8, one) = all_559_0_691 & addition(all_559_1_692, all_559_0_691) = all_23_0_26
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (413) yields:
% 49.70/16.81 | (414) multiplication(all_0_8_8, all_29_0_30) = all_559_1_692
% 49.70/16.81 | (415) multiplication(all_0_8_8, one) = all_559_0_691
% 49.70/16.81 | (416) addition(all_559_1_692, all_559_0_691) = all_23_0_26
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (264) with all_568_0_700, all_568_1_701 yields:
% 49.70/16.81 | (417) multiplication(all_52_0_37, all_0_9_9) = all_568_0_700 & multiplication(all_0_7_7, all_0_9_9) = all_568_1_701 & addition(all_568_1_701, all_568_0_700) = all_88_0_80
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (417) yields:
% 49.70/16.81 | (418) multiplication(all_52_0_37, all_0_9_9) = all_568_0_700
% 49.70/16.81 | (419) multiplication(all_0_7_7, all_0_9_9) = all_568_1_701
% 49.70/16.81 | (420) addition(all_568_1_701, all_568_0_700) = all_88_0_80
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (227) with all_580_0_711 yields:
% 49.70/16.81 | (421) multiplication(all_0_2_2, all_0_7_7) = all_580_0_711 & multiplication(all_0_7_7, all_580_0_711) = all_63_0_52
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (421) yields:
% 49.70/16.81 | (422) multiplication(all_0_2_2, all_0_7_7) = all_580_0_711
% 49.70/16.81 | (423) multiplication(all_0_7_7, all_580_0_711) = all_63_0_52
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (271) with all_586_0_714 yields:
% 49.70/16.81 | (424) addition(all_586_0_714, all_88_0_80) = all_104_0_95 & addition(all_35_1_32, all_0_9_9) = all_586_0_714
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (424) yields:
% 49.70/16.81 | (425) addition(all_586_0_714, all_88_0_80) = all_104_0_95
% 49.70/16.81 | (426) addition(all_35_1_32, all_0_9_9) = all_586_0_714
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (270) with all_592_0_727 yields:
% 49.70/16.81 | (427) addition(all_592_0_727, all_88_0_80) = all_40_0_34 & addition(all_0_3_3, all_0_9_9) = all_592_0_727
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (427) yields:
% 49.70/16.81 | (428) addition(all_592_0_727, all_88_0_80) = all_40_0_34
% 49.70/16.81 | (429) addition(all_0_3_3, all_0_9_9) = all_592_0_727
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (233) with all_603_0_736 yields:
% 49.70/16.81 | (430) multiplication(all_603_0_736, all_0_7_7) = all_73_0_65 & multiplication(all_0_7_7, all_0_2_2) = all_603_0_736
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (430) yields:
% 49.70/16.81 | (431) multiplication(all_603_0_736, all_0_7_7) = all_73_0_65
% 49.70/16.81 | (432) multiplication(all_0_7_7, all_0_2_2) = all_603_0_736
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (232) with all_609_0_740, all_609_1_741 yields:
% 49.70/16.81 | (433) multiplication(all_0_7_7, all_21_0_24) = all_609_0_740 & multiplication(all_0_7_7, all_0_2_2) = all_609_1_741 & addition(all_609_1_741, all_609_0_740) = all_56_0_40
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (433) yields:
% 49.70/16.81 | (434) multiplication(all_0_7_7, all_21_0_24) = all_609_0_740
% 49.70/16.81 | (435) multiplication(all_0_7_7, all_0_2_2) = all_609_1_741
% 49.70/16.81 | (436) addition(all_609_1_741, all_609_0_740) = all_56_0_40
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (235) with all_611_0_742 yields:
% 49.70/16.81 | (437) multiplication(all_0_7_7, all_611_0_742) = all_27_0_29 & multiplication(one, all_0_2_2) = all_611_0_742
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (437) yields:
% 49.70/16.81 | (438) multiplication(all_0_7_7, all_611_0_742) = all_27_0_29
% 49.70/16.81 | (439) multiplication(one, all_0_2_2) = all_611_0_742
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (234) with all_613_0_743 yields:
% 49.70/16.81 | (440) multiplication(all_613_0_743, one) = all_19_0_23 & multiplication(all_0_2_2, all_0_7_7) = all_613_0_743
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (440) yields:
% 49.70/16.81 | (441) multiplication(all_613_0_743, one) = all_19_0_23
% 49.70/16.81 | (442) multiplication(all_0_2_2, all_0_7_7) = all_613_0_743
% 49.70/16.81 |
% 49.70/16.81 | Instantiating (238) with all_619_0_746 yields:
% 49.70/16.81 | (443) multiplication(all_619_0_746, all_0_4_4) = all_75_0_67 & multiplication(all_0_9_9, all_0_8_8) = all_619_0_746
% 49.70/16.81 |
% 49.70/16.81 | Applying alpha-rule on (443) yields:
% 49.70/16.81 | (444) multiplication(all_619_0_746, all_0_4_4) = all_75_0_67
% 49.70/16.81 | (445) multiplication(all_0_9_9, all_0_8_8) = all_619_0_746
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_27_0_29, all_0_6_6, all_376_1_492, all_516_0_612 and discharging atoms multiplication(all_27_0_29, all_0_6_6) = all_516_0_612, multiplication(all_27_0_29, all_0_6_6) = all_376_1_492, yields:
% 49.70/16.81 | (446) all_516_0_612 = all_376_1_492
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_27_0_29, all_0_9_9, all_456_0_562, all_88_0_80 and discharging atoms multiplication(all_27_0_29, all_0_9_9) = all_456_0_562, multiplication(all_27_0_29, all_0_9_9) = all_88_0_80, yields:
% 49.70/16.81 | (447) all_456_0_562 = all_88_0_80
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_27_0_29, all_0_9_9, all_387_1_512, all_456_0_562 and discharging atoms multiplication(all_27_0_29, all_0_9_9) = all_456_0_562, multiplication(all_27_0_29, all_0_9_9) = all_387_1_512, yields:
% 49.70/16.81 | (448) all_456_0_562 = all_387_1_512
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_19_0_23, all_0_6_6, all_305_1_376, all_470_0_571 and discharging atoms multiplication(all_19_0_23, all_0_6_6) = all_470_0_571, multiplication(all_19_0_23, all_0_6_6) = all_305_1_376, yields:
% 49.70/16.81 | (449) all_470_0_571 = all_305_1_376
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (3) with all_414_0_540, all_0_1_1 and discharging atoms multiplication(all_0_1_1, one) = all_414_0_540, yields:
% 49.70/16.81 | (450) all_414_0_540 = all_0_1_1
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_2_2, all_0_6_6, all_201_0_227, all_35_2_33 and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_201_0_227, multiplication(all_0_2_2, all_0_6_6) = all_35_2_33, yields:
% 49.70/16.81 | (451) all_201_0_227 = all_35_2_33
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_2_2, all_0_6_6, all_201_1_228, all_201_0_227 and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_201_0_227, multiplication(all_0_2_2, all_0_6_6) = all_201_1_228, yields:
% 49.70/16.81 | (452) all_201_0_227 = all_201_1_228
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_2_2, all_0_7_7, all_613_0_743, all_19_0_23 and discharging atoms multiplication(all_0_2_2, all_0_7_7) = all_613_0_743, multiplication(all_0_2_2, all_0_7_7) = all_19_0_23, yields:
% 49.70/16.81 | (453) all_613_0_743 = all_19_0_23
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_2_2, all_0_7_7, all_580_0_711, all_613_0_743 and discharging atoms multiplication(all_0_2_2, all_0_7_7) = all_613_0_743, multiplication(all_0_2_2, all_0_7_7) = all_580_0_711, yields:
% 49.70/16.81 | (454) all_613_0_743 = all_580_0_711
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_4_4, all_0_8_8, all_500_0_588, all_29_0_30 and discharging atoms multiplication(all_0_4_4, all_0_8_8) = all_500_0_588, multiplication(all_0_4_4, all_0_8_8) = all_29_0_30, yields:
% 49.70/16.81 | (455) all_500_0_588 = all_29_0_30
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_4_4, all_0_8_8, all_484_0_579, all_500_0_588 and discharging atoms multiplication(all_0_4_4, all_0_8_8) = all_500_0_588, multiplication(all_0_4_4, all_0_8_8) = all_484_0_579, yields:
% 49.70/16.81 | (456) all_500_0_588 = all_484_0_579
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_7_7, all_19_0_23, all_213_1_242, all_446_0_557 and discharging atoms multiplication(all_0_7_7, all_19_0_23) = all_446_0_557, multiplication(all_0_7_7, all_19_0_23) = all_213_1_242, yields:
% 49.70/16.81 | (457) all_446_0_557 = all_213_1_242
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_7_7, all_0_2_2, all_603_0_736, all_609_1_741 and discharging atoms multiplication(all_0_7_7, all_0_2_2) = all_609_1_741, multiplication(all_0_7_7, all_0_2_2) = all_603_0_736, yields:
% 49.70/16.81 | (458) all_609_1_741 = all_603_0_736
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_7_7, all_0_2_2, all_448_0_558, all_603_0_736 and discharging atoms multiplication(all_0_7_7, all_0_2_2) = all_603_0_736, multiplication(all_0_7_7, all_0_2_2) = all_448_0_558, yields:
% 49.70/16.81 | (459) all_603_0_736 = all_448_0_558
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_7_7, all_0_2_2, all_236_0_267, all_609_1_741 and discharging atoms multiplication(all_0_7_7, all_0_2_2) = all_609_1_741, multiplication(all_0_7_7, all_0_2_2) = all_236_0_267, yields:
% 49.70/16.81 | (460) all_609_1_741 = all_236_0_267
% 49.70/16.81 |
% 49.70/16.81 | Instantiating formula (43) with all_0_7_7, all_0_9_9, all_568_1_701, all_0_5_5 and discharging atoms multiplication(all_0_7_7, all_0_9_9) = all_568_1_701, multiplication(all_0_7_7, all_0_9_9) = all_0_5_5, yields:
% 49.70/16.82 | (461) all_568_1_701 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_7_7, all_0_9_9, all_480_0_577, all_568_1_701 and discharging atoms multiplication(all_0_7_7, all_0_9_9) = all_568_1_701, multiplication(all_0_7_7, all_0_9_9) = all_480_0_577, yields:
% 49.70/16.82 | (462) all_568_1_701 = all_480_0_577
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_7_7, all_0_9_9, all_464_0_566, all_568_1_701 and discharging atoms multiplication(all_0_7_7, all_0_9_9) = all_568_1_701, multiplication(all_0_7_7, all_0_9_9) = all_464_0_566, yields:
% 49.70/16.82 | (463) all_568_1_701 = all_464_0_566
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_7_7, all_0_9_9, all_316_1_393, all_464_0_566 and discharging atoms multiplication(all_0_7_7, all_0_9_9) = all_464_0_566, multiplication(all_0_7_7, all_0_9_9) = all_316_1_393, yields:
% 49.70/16.82 | (464) all_464_0_566 = all_316_1_393
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_7_7, all_0_9_9, all_316_1_393, all_420_0_543 and discharging atoms multiplication(all_0_7_7, all_0_9_9) = all_420_0_543, multiplication(all_0_7_7, all_0_9_9) = all_316_1_393, yields:
% 49.70/16.82 | (465) all_420_0_543 = all_316_1_393
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_7_7, all_0_9_9, all_164_1_178, all_420_0_543 and discharging atoms multiplication(all_0_7_7, all_0_9_9) = all_420_0_543, multiplication(all_0_7_7, all_0_9_9) = all_164_1_178, yields:
% 49.70/16.82 | (466) all_420_0_543 = all_164_1_178
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_7_7, all_0_9_9, all_157_1_170, all_420_0_543 and discharging atoms multiplication(all_0_7_7, all_0_9_9) = all_420_0_543, multiplication(all_0_7_7, all_0_9_9) = all_157_1_170, yields:
% 49.70/16.82 | (467) all_420_0_543 = all_157_1_170
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_8_8, all_29_0_30, all_559_1_692, all_92_0_83 and discharging atoms multiplication(all_0_8_8, all_29_0_30) = all_559_1_692, multiplication(all_0_8_8, all_29_0_30) = all_92_0_83, yields:
% 49.70/16.82 | (468) all_559_1_692 = all_92_0_83
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_8_8, all_29_0_30, all_432_0_550, all_559_1_692 and discharging atoms multiplication(all_0_8_8, all_29_0_30) = all_559_1_692, multiplication(all_0_8_8, all_29_0_30) = all_432_0_550, yields:
% 49.70/16.82 | (469) all_559_1_692 = all_432_0_550
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_29_0_30, all_552_1_685, all_86_0_78 and discharging atoms multiplication(all_0_9_9, all_29_0_30) = all_552_1_685, multiplication(all_0_9_9, all_29_0_30) = all_86_0_78, yields:
% 49.70/16.82 | (470) all_552_1_685 = all_86_0_78
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_29_0_30, all_452_0_560, all_552_1_685 and discharging atoms multiplication(all_0_9_9, all_29_0_30) = all_552_1_685, multiplication(all_0_9_9, all_29_0_30) = all_452_0_560, yields:
% 49.70/16.82 | (471) all_552_1_685 = all_452_0_560
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_0_8_8, all_530_1_646, all_0_6_6 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_530_1_646, multiplication(all_0_9_9, all_0_8_8) = all_0_6_6, yields:
% 49.70/16.82 | (472) all_530_1_646 = all_0_6_6
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_0_8_8, all_504_1_596, all_619_0_746 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_619_0_746, multiplication(all_0_9_9, all_0_8_8) = all_504_1_596, yields:
% 49.70/16.82 | (473) all_619_0_746 = all_504_1_596
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_0_8_8, all_486_0_580, all_619_0_746 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_619_0_746, multiplication(all_0_9_9, all_0_8_8) = all_486_0_580, yields:
% 49.70/16.82 | (474) all_619_0_746 = all_486_0_580
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_0_8_8, all_426_0_547, all_486_0_580 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_486_0_580, multiplication(all_0_9_9, all_0_8_8) = all_426_0_547, yields:
% 49.70/16.82 | (475) all_486_0_580 = all_426_0_547
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_0_8_8, all_339_1_438, all_486_0_580 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_486_0_580, multiplication(all_0_9_9, all_0_8_8) = all_339_1_438, yields:
% 49.70/16.82 | (476) all_486_0_580 = all_339_1_438
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_0_8_8, all_141_1_144, all_530_1_646 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_530_1_646, multiplication(all_0_9_9, all_0_8_8) = all_141_1_144, yields:
% 49.70/16.82 | (477) all_530_1_646 = all_141_1_144
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_0_8_8, all_141_1_144, all_486_0_580 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_486_0_580, multiplication(all_0_9_9, all_0_8_8) = all_141_1_144, yields:
% 49.70/16.82 | (478) all_486_0_580 = all_141_1_144
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, all_0_8_8, all_135_1_130, all_619_0_746 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_619_0_746, multiplication(all_0_9_9, all_0_8_8) = all_135_1_130, yields:
% 49.70/16.82 | (479) all_619_0_746 = all_135_1_130
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (3) with all_552_0_684, all_0_9_9 and discharging atoms multiplication(all_0_9_9, one) = all_552_0_684, yields:
% 49.70/16.82 | (480) all_552_0_684 = all_0_9_9
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with all_0_9_9, one, all_238_0_269, all_552_0_684 and discharging atoms multiplication(all_0_9_9, one) = all_552_0_684, multiplication(all_0_9_9, one) = all_238_0_269, yields:
% 49.70/16.82 | (481) all_552_0_684 = all_238_0_269
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (27) with all_27_0_29, all_448_0_558 and discharging atoms multiplication(one, all_448_0_558) = all_27_0_29, yields:
% 49.70/16.82 | (482) all_448_0_558 = all_27_0_29
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (27) with all_73_0_65, all_446_0_557 and discharging atoms multiplication(one, all_446_0_557) = all_73_0_65, yields:
% 49.70/16.82 | (483) all_446_0_557 = all_73_0_65
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (27) with all_611_0_742, all_0_2_2 and discharging atoms multiplication(one, all_0_2_2) = all_611_0_742, yields:
% 49.70/16.82 | (484) all_611_0_742 = all_0_2_2
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (27) with all_387_0_511, all_0_9_9 and discharging atoms multiplication(one, all_0_9_9) = all_387_0_511, yields:
% 49.70/16.82 | (485) all_387_0_511 = all_0_9_9
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (43) with one, all_0_9_9, all_215_0_243, all_387_0_511 and discharging atoms multiplication(one, all_0_9_9) = all_387_0_511, multiplication(one, all_0_9_9) = all_215_0_243, yields:
% 49.70/16.82 | (486) all_387_0_511 = all_215_0_243
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (20) with all_35_1_32, all_0_9_9, all_352_0_462, all_586_0_714 and discharging atoms addition(all_35_1_32, all_0_9_9) = all_586_0_714, addition(all_35_1_32, all_0_9_9) = all_352_0_462, yields:
% 49.70/16.82 | (487) all_586_0_714 = all_352_0_462
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (20) with all_0_1_1, all_0_9_9, all_123_0_112, all_492_0_583 and discharging atoms addition(all_0_1_1, all_0_9_9) = all_492_0_583, addition(all_0_1_1, all_0_9_9) = all_123_0_112, yields:
% 49.70/16.82 | (488) all_492_0_583 = all_123_0_112
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (20) with all_0_3_3, all_0_9_9, all_347_0_452, all_592_0_727 and discharging atoms addition(all_0_3_3, all_0_9_9) = all_592_0_727, addition(all_0_3_3, all_0_9_9) = all_347_0_452, yields:
% 49.70/16.82 | (489) all_592_0_727 = all_347_0_452
% 49.70/16.82 |
% 49.70/16.82 | Instantiating formula (45) with all_209_0_238, all_0_9_9 and discharging atoms addition(all_0_9_9, all_0_9_9) = all_209_0_238, yields:
% 49.70/16.82 | (490) all_209_0_238 = all_0_9_9
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (479,473) yields a new equation:
% 49.70/16.82 | (491) all_504_1_596 = all_135_1_130
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (474,473) yields a new equation:
% 49.70/16.82 | (492) all_504_1_596 = all_486_0_580
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (453,454) yields a new equation:
% 49.70/16.82 | (493) all_580_0_711 = all_19_0_23
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (458,460) yields a new equation:
% 49.70/16.82 | (494) all_603_0_736 = all_236_0_267
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 494 yields:
% 49.70/16.82 | (495) all_603_0_736 = all_236_0_267
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (459,495) yields a new equation:
% 49.70/16.82 | (496) all_448_0_558 = all_236_0_267
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 496 yields:
% 49.70/16.82 | (497) all_448_0_558 = all_236_0_267
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (461,462) yields a new equation:
% 49.70/16.82 | (498) all_480_0_577 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (463,462) yields a new equation:
% 49.70/16.82 | (499) all_480_0_577 = all_464_0_566
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (468,469) yields a new equation:
% 49.70/16.82 | (500) all_432_0_550 = all_92_0_83
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (480,481) yields a new equation:
% 49.70/16.82 | (501) all_238_0_269 = all_0_9_9
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (470,471) yields a new equation:
% 49.70/16.82 | (502) all_452_0_560 = all_86_0_78
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (477,472) yields a new equation:
% 49.70/16.82 | (503) all_141_1_144 = all_0_6_6
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 503 yields:
% 49.70/16.82 | (504) all_141_1_144 = all_0_6_6
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (492,491) yields a new equation:
% 49.70/16.82 | (505) all_486_0_580 = all_135_1_130
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 505 yields:
% 49.70/16.82 | (506) all_486_0_580 = all_135_1_130
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (455,456) yields a new equation:
% 49.70/16.82 | (507) all_484_0_579 = all_29_0_30
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (478,475) yields a new equation:
% 49.70/16.82 | (508) all_426_0_547 = all_141_1_144
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (476,475) yields a new equation:
% 49.70/16.82 | (509) all_426_0_547 = all_339_1_438
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (506,475) yields a new equation:
% 49.70/16.82 | (510) all_426_0_547 = all_135_1_130
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (499,498) yields a new equation:
% 49.70/16.82 | (511) all_464_0_566 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 511 yields:
% 49.70/16.82 | (512) all_464_0_566 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (464,512) yields a new equation:
% 49.70/16.82 | (513) all_316_1_393 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 513 yields:
% 49.70/16.82 | (514) all_316_1_393 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (448,447) yields a new equation:
% 49.70/16.82 | (515) all_387_1_512 = all_88_0_80
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 515 yields:
% 49.70/16.82 | (516) all_387_1_512 = all_88_0_80
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (482,497) yields a new equation:
% 49.70/16.82 | (517) all_236_0_267 = all_27_0_29
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (483,457) yields a new equation:
% 49.70/16.82 | (518) all_213_1_242 = all_73_0_65
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (508,509) yields a new equation:
% 49.70/16.82 | (519) all_339_1_438 = all_141_1_144
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (510,509) yields a new equation:
% 49.70/16.82 | (520) all_339_1_438 = all_135_1_130
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (467,466) yields a new equation:
% 49.70/16.82 | (521) all_164_1_178 = all_157_1_170
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (465,466) yields a new equation:
% 49.70/16.82 | (522) all_316_1_393 = all_164_1_178
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 522 yields:
% 49.70/16.82 | (523) all_316_1_393 = all_164_1_178
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (485,486) yields a new equation:
% 49.70/16.82 | (524) all_215_0_243 = all_0_9_9
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (519,520) yields a new equation:
% 49.70/16.82 | (525) all_141_1_144 = all_135_1_130
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 525 yields:
% 49.70/16.82 | (526) all_141_1_144 = all_135_1_130
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (523,514) yields a new equation:
% 49.70/16.82 | (527) all_164_1_178 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 527 yields:
% 49.70/16.82 | (528) all_164_1_178 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (451,452) yields a new equation:
% 49.70/16.82 | (529) all_201_1_228 = all_35_2_33
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (521,528) yields a new equation:
% 49.70/16.82 | (530) all_157_1_170 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 530 yields:
% 49.70/16.82 | (531) all_157_1_170 = all_0_5_5
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (526,504) yields a new equation:
% 49.70/16.82 | (532) all_135_1_130 = all_0_6_6
% 49.70/16.82 |
% 49.70/16.82 | Simplifying 532 yields:
% 49.70/16.82 | (533) all_135_1_130 = all_0_6_6
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (533,520) yields a new equation:
% 49.70/16.82 | (534) all_339_1_438 = all_0_6_6
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (524,486) yields a new equation:
% 49.70/16.82 | (485) all_387_0_511 = all_0_9_9
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (507,456) yields a new equation:
% 49.70/16.82 | (455) all_500_0_588 = all_29_0_30
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (533,491) yields a new equation:
% 49.70/16.82 | (537) all_504_1_596 = all_0_6_6
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (502,471) yields a new equation:
% 49.70/16.82 | (470) all_552_1_685 = all_86_0_78
% 49.70/16.82 |
% 49.70/16.82 | Combining equations (501,481) yields a new equation:
% 49.70/16.82 | (480) all_552_0_684 = all_0_9_9
% 49.70/16.82 |
% 49.70/16.82 | From (446) and (402) follows:
% 49.70/16.82 | (341) multiplication(all_27_0_29, all_0_6_6) = all_376_1_492
% 49.70/16.82 |
% 49.70/16.82 | From (449) and (379) follows:
% 49.70/16.82 | (323) multiplication(all_19_0_23, all_0_6_6) = all_305_1_376
% 49.70/16.82 |
% 49.70/16.82 | From (450) and (353) follows:
% 49.70/16.82 | (542) multiplication(all_0_1_1, one) = all_0_1_1
% 49.70/16.82 |
% 49.70/16.82 | From (498) and (383) follows:
% 49.70/16.82 | (543) multiplication(all_0_2_2, all_0_5_5) = all_58_0_41
% 49.70/16.82 |
% 49.70/16.82 | From (529) and (301) follows:
% 49.70/16.82 | (205) multiplication(all_0_2_2, all_0_6_6) = all_35_2_33
% 49.70/16.82 |
% 49.70/16.82 | From (493) and (423) follows:
% 49.70/16.82 | (545) multiplication(all_0_7_7, all_19_0_23) = all_63_0_52
% 49.70/16.82 |
% 49.70/16.82 | From (518) and (307) follows:
% 49.70/16.82 | (141) multiplication(all_0_7_7, all_19_0_23) = all_73_0_65
% 49.70/16.82 |
% 49.70/16.82 | From (517) and (316) follows:
% 49.70/16.82 | (70) multiplication(all_0_7_7, all_0_2_2) = all_27_0_29
% 49.70/16.82 |
% 49.70/16.82 | From (455) and (396) follows:
% 49.70/16.82 | (548) multiplication(all_0_8_8, all_29_0_30) = all_79_0_71
% 49.70/16.82 |
% 49.70/16.82 | From (500) and (361) follows:
% 49.70/16.82 | (165) multiplication(all_0_8_8, all_29_0_30) = all_92_0_83
% 49.70/16.82 |
% 49.70/16.82 | From (501) and (320) follows:
% 49.70/16.82 | (209) multiplication(all_0_9_9, one) = all_0_9_9
% 49.70/16.82 |
% 49.70/16.82 | From (484) and (439) follows:
% 49.70/16.82 | (551) multiplication(one, all_0_2_2) = all_0_2_2
% 49.70/16.82 |
% 49.70/16.82 | From (470)(480) and (412) follows:
% 49.70/16.82 | (552) addition(all_86_0_78, all_0_9_9) = all_0_3_3
% 49.70/16.82 |
% 49.70/16.82 | From (537) and (400) follows:
% 49.70/16.82 | (553) addition(all_0_6_6, all_504_0_595) = all_75_0_67
% 49.70/16.82 |
% 49.70/16.82 | From (516)(485) and (347) follows:
% 49.70/16.82 | (554) addition(all_88_0_80, all_0_9_9) = all_0_1_1
% 49.70/16.82 |
% 49.70/16.82 | From (534) and (333) follows:
% 49.70/16.82 | (555) addition(all_0_6_6, all_339_0_437) = all_86_0_78
% 49.70/16.82 |
% 49.70/16.82 | From (514) and (329) follows:
% 49.70/16.82 | (556) addition(all_0_5_5, all_316_0_392) = all_88_0_80
% 49.70/16.82 |
% 49.70/16.82 | From (531) and (291) follows:
% 49.70/16.82 | (557) addition(all_0_5_5, all_157_0_169) = all_58_0_41
% 49.70/16.82 |
% 49.70/16.82 | From (487) and (426) follows:
% 49.70/16.83 | (339) addition(all_35_1_32, all_0_9_9) = all_352_0_462
% 49.70/16.83 |
% 49.70/16.83 | From (488) and (393) follows:
% 49.70/16.83 | (279) addition(all_0_1_1, all_0_9_9) = all_123_0_112
% 49.70/16.83 |
% 49.70/16.83 | From (489) and (429) follows:
% 49.70/16.83 | (336) addition(all_0_3_3, all_0_9_9) = all_347_0_452
% 49.70/16.83 |
% 49.70/16.83 | From (490) and (305) follows:
% 49.70/16.83 | (561) addition(all_0_9_9, all_0_9_9) = all_0_9_9
% 49.70/16.83 |
% 49.70/16.83 | Instantiating formula (43) with all_0_7_7, all_19_0_23, all_63_0_52, all_73_0_65 and discharging atoms multiplication(all_0_7_7, all_19_0_23) = all_73_0_65, multiplication(all_0_7_7, all_19_0_23) = all_63_0_52, yields:
% 49.70/16.83 | (562) all_73_0_65 = all_63_0_52
% 49.70/16.83 |
% 49.70/16.83 | Instantiating formula (43) with all_0_8_8, all_29_0_30, all_79_0_71, all_92_0_83 and discharging atoms multiplication(all_0_8_8, all_29_0_30) = all_92_0_83, multiplication(all_0_8_8, all_29_0_30) = all_79_0_71, yields:
% 49.70/16.83 | (563) all_92_0_83 = all_79_0_71
% 49.70/16.83 |
% 49.70/16.83 | From (562) and (327) follows:
% 49.70/16.83 | (564) multiplication(all_63_0_52, all_0_9_9) = all_316_0_392
% 49.70/16.83 |
% 49.70/16.83 | From (563) and (398) follows:
% 49.70/16.83 | (565) multiplication(all_0_9_9, all_79_0_71) = all_504_0_595
% 49.70/16.83 |
% 49.70/16.83 | From (562) and (220) follows:
% 49.70/16.83 | (566) addition(all_0_7_7, all_63_0_52) = all_27_0_29
% 49.70/16.83 |
% 49.70/16.83 | Instantiating formula (43) with all_63_0_52, all_0_9_9, all_316_0_392, all_157_0_169 and discharging atoms multiplication(all_63_0_52, all_0_9_9) = all_316_0_392, multiplication(all_63_0_52, all_0_9_9) = all_157_0_169, yields:
% 49.70/16.83 | (567) all_316_0_392 = all_157_0_169
% 49.70/16.83 |
% 49.70/16.83 | Instantiating formula (43) with all_0_9_9, all_79_0_71, all_504_0_595, all_339_0_437 and discharging atoms multiplication(all_0_9_9, all_79_0_71) = all_504_0_595, multiplication(all_0_9_9, all_79_0_71) = all_339_0_437, yields:
% 49.70/16.83 | (568) all_504_0_595 = all_339_0_437
% 49.70/16.83 |
% 49.70/16.83 | Instantiating formula (20) with all_0_7_7, all_63_0_52, all_27_0_29, all_19_0_23 and discharging atoms addition(all_0_7_7, all_63_0_52) = all_27_0_29, addition(all_0_7_7, all_63_0_52) = all_19_0_23, yields:
% 49.70/16.83 | (569) all_27_0_29 = all_19_0_23
% 49.70/16.83 |
% 49.70/16.83 | From (569) and (341) follows:
% 49.70/16.83 | (570) multiplication(all_19_0_23, all_0_6_6) = all_376_1_492
% 49.70/16.83 |
% 49.70/16.83 | From (569) and (70) follows:
% 49.70/16.83 | (571) multiplication(all_0_7_7, all_0_2_2) = all_19_0_23
% 49.70/16.83 |
% 49.70/16.83 | From (567) and (556) follows:
% 49.70/16.83 | (572) addition(all_0_5_5, all_157_0_169) = all_88_0_80
% 49.70/16.83 |
% 49.70/16.83 | From (568) and (553) follows:
% 49.70/16.83 | (573) addition(all_0_6_6, all_339_0_437) = all_75_0_67
% 49.70/16.83 |
% 49.70/16.83 | Instantiating formula (43) with all_19_0_23, all_0_6_6, all_376_1_492, all_305_1_376 and discharging atoms multiplication(all_19_0_23, all_0_6_6) = all_376_1_492, multiplication(all_19_0_23, all_0_6_6) = all_305_1_376, yields:
% 49.70/16.83 | (574) all_376_1_492 = all_305_1_376
% 49.70/16.83 |
% 49.70/16.83 | Instantiating formula (20) with all_0_5_5, all_157_0_169, all_88_0_80, all_58_0_41 and discharging atoms addition(all_0_5_5, all_157_0_169) = all_88_0_80, addition(all_0_5_5, all_157_0_169) = all_58_0_41, yields:
% 49.70/16.83 | (575) all_88_0_80 = all_58_0_41
% 49.70/16.83 |
% 49.70/16.83 | Instantiating formula (20) with all_0_6_6, all_339_0_437, all_75_0_67, all_86_0_78 and discharging atoms addition(all_0_6_6, all_339_0_437) = all_86_0_78, addition(all_0_6_6, all_339_0_437) = all_75_0_67, yields:
% 49.96/16.83 | (576) all_86_0_78 = all_75_0_67
% 49.96/16.83 |
% 49.96/16.83 | From (574) and (570) follows:
% 49.96/16.83 | (323) multiplication(all_19_0_23, all_0_6_6) = all_305_1_376
% 49.96/16.83 |
% 49.96/16.83 | From (575) and (554) follows:
% 49.96/16.83 | (578) addition(all_58_0_41, all_0_9_9) = all_0_1_1
% 49.96/16.83 |
% 49.96/16.83 | From (576) and (552) follows:
% 49.96/16.83 | (579) addition(all_75_0_67, all_0_9_9) = all_0_3_3
% 49.96/16.83 |
% 49.96/16.83 | From (575) and (215) follows:
% 49.96/16.83 | (223) addition(all_0_9_9, all_58_0_41) = all_0_1_1
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (17) with all_58_0_41, all_0_5_5, all_0_6_6, all_0_5_5, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_5_5) = all_58_0_41, addition(all_0_5_5, all_0_6_6) = all_0_5_5, yields:
% 49.96/16.83 | (581) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_5_5) = v0 & multiplication(all_0_2_2, all_0_6_6) = v1 & addition(v0, v1) = all_58_0_41)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (17) with all_58_0_41, all_0_5_5, all_0_5_5, all_0_6_6, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_5_5) = all_58_0_41, addition(all_0_6_6, all_0_5_5) = all_0_5_5, yields:
% 49.96/16.83 | (582) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_5_5) = v1 & multiplication(all_0_2_2, all_0_6_6) = v0 & addition(v0, v1) = all_58_0_41)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (36) with all_305_1_376, all_19_0_23, all_0_6_6, all_0_2_2, all_0_7_7 and discharging atoms multiplication(all_19_0_23, all_0_6_6) = all_305_1_376, multiplication(all_0_7_7, all_0_2_2) = all_19_0_23, yields:
% 49.96/16.83 | (583) ? [v0] : (multiplication(all_0_2_2, all_0_6_6) = v0 & multiplication(all_0_7_7, v0) = all_305_1_376)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (36) with all_35_2_33, all_0_2_2, all_0_6_6, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_35_2_33, multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 49.96/16.83 | (584) ? [v0] : (multiplication(all_0_2_2, all_0_6_6) = v0 & multiplication(one, v0) = all_35_2_33)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (36) with all_58_0_41, all_0_2_2, all_0_5_5, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_0_5_5) = all_58_0_41, multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 49.96/16.83 | (585) ? [v0] : (multiplication(all_0_2_2, all_0_5_5) = v0 & multiplication(one, v0) = all_58_0_41)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (29) with all_352_0_462, all_35_1_32, all_35_2_33, all_0_9_9, all_0_9_9 and discharging atoms addition(all_35_1_32, all_0_9_9) = all_352_0_462, addition(all_35_2_33, all_0_9_9) = all_35_1_32, yields:
% 49.96/16.83 | (586) ? [v0] : (addition(all_35_2_33, v0) = all_352_0_462 & addition(all_0_9_9, all_0_9_9) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (16) with all_104_0_95, all_398_0_527, all_35_2_33 and discharging atoms addition(all_35_2_33, all_398_0_527) = all_104_0_95, yields:
% 49.96/16.83 | (587) all_398_0_527 = all_104_0_95 | ? [v0] : ( ~ (v0 = 0) & leq(all_35_2_33, all_398_0_527) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (13) with all_104_0_95, all_35_2_33, all_398_0_527 and discharging atoms addition(all_35_2_33, all_398_0_527) = all_104_0_95, yields:
% 49.96/16.83 | (588) addition(all_398_0_527, all_35_2_33) = all_104_0_95
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (22) with all_176_0_193, all_0_1_1, all_35_2_33, all_58_0_41, all_0_9_9 and discharging atoms addition(all_58_0_41, all_0_9_9) = all_0_1_1, addition(all_35_2_33, all_0_1_1) = all_176_0_193, yields:
% 49.96/16.83 | (589) ? [v0] : (addition(v0, all_0_9_9) = all_176_0_193 & addition(all_35_2_33, all_58_0_41) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (13) with all_176_0_193, all_35_2_33, all_0_1_1 and discharging atoms addition(all_35_2_33, all_0_1_1) = all_176_0_193, yields:
% 49.96/16.83 | (590) addition(all_0_1_1, all_35_2_33) = all_176_0_193
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (22) with all_104_0_95, all_35_1_32, all_0_1_1, all_35_2_33, all_0_9_9 and discharging atoms addition(all_35_2_33, all_0_9_9) = all_35_1_32, addition(all_0_1_1, all_35_1_32) = all_104_0_95, yields:
% 49.96/16.83 | (591) ? [v0] : (addition(v0, all_0_9_9) = all_104_0_95 & addition(all_0_1_1, all_35_2_33) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (22) with all_104_0_95, all_35_1_32, all_0_1_1, all_0_9_9, all_35_2_33 and discharging atoms addition(all_0_1_1, all_35_1_32) = all_104_0_95, addition(all_0_9_9, all_35_2_33) = all_35_1_32, yields:
% 49.96/16.83 | (592) ? [v0] : (addition(v0, all_35_2_33) = all_104_0_95 & addition(all_0_1_1, all_0_9_9) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (42) with all_123_0_112, all_0_9_9, all_0_1_1, one, all_0_9_9, all_0_1_1 and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, multiplication(all_0_9_9, one) = all_0_9_9, addition(all_0_1_1, all_0_9_9) = all_123_0_112, yields:
% 49.96/16.83 | (593) ? [v0] : (multiplication(v0, one) = all_123_0_112 & addition(all_0_1_1, all_0_9_9) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (29) with all_123_0_112, all_0_1_1, all_58_0_41, all_0_9_9, all_0_9_9 and discharging atoms addition(all_58_0_41, all_0_9_9) = all_0_1_1, addition(all_0_1_1, all_0_9_9) = all_123_0_112, yields:
% 49.96/16.83 | (594) ? [v0] : (addition(all_58_0_41, v0) = all_123_0_112 & addition(all_0_9_9, all_0_9_9) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (29) with all_347_0_452, all_0_3_3, all_75_0_67, all_0_9_9, all_0_9_9 and discharging atoms addition(all_75_0_67, all_0_9_9) = all_0_3_3, addition(all_0_3_3, all_0_9_9) = all_347_0_452, yields:
% 49.96/16.83 | (595) ? [v0] : (addition(all_75_0_67, v0) = all_347_0_452 & addition(all_0_9_9, all_0_9_9) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (22) with all_398_0_527, all_0_1_1, all_0_9_9, all_0_9_9, all_58_0_41 and discharging atoms addition(all_0_9_9, all_58_0_41) = all_0_1_1, addition(all_0_9_9, all_0_1_1) = all_398_0_527, yields:
% 49.96/16.83 | (596) ? [v0] : (addition(v0, all_58_0_41) = all_398_0_527 & addition(all_0_9_9, all_0_9_9) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (22) with all_398_0_527, all_0_1_1, all_0_9_9, all_58_0_41, all_0_9_9 and discharging atoms addition(all_58_0_41, all_0_9_9) = all_0_1_1, addition(all_0_9_9, all_0_1_1) = all_398_0_527, yields:
% 49.96/16.83 | (597) ? [v0] : (addition(v0, all_0_9_9) = all_398_0_527 & addition(all_0_9_9, all_58_0_41) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (13) with all_398_0_527, all_0_9_9, all_0_1_1 and discharging atoms addition(all_0_9_9, all_0_1_1) = all_398_0_527, yields:
% 49.96/16.83 | (598) addition(all_0_1_1, all_0_9_9) = all_398_0_527
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (29) with all_0_1_1, all_0_9_9, all_0_9_9, all_0_9_9, all_58_0_41 and discharging atoms addition(all_0_9_9, all_58_0_41) = all_0_1_1, addition(all_0_9_9, all_0_9_9) = all_0_9_9, yields:
% 49.96/16.83 | (599) ? [v0] : (addition(all_0_9_9, v0) = all_0_1_1 & addition(all_0_9_9, all_58_0_41) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating formula (22) with all_123_0_112, all_0_9_9, all_0_1_1, all_0_9_9, all_0_9_9 and discharging atoms addition(all_0_1_1, all_0_9_9) = all_123_0_112, addition(all_0_9_9, all_0_9_9) = all_0_9_9, yields:
% 49.96/16.83 | (600) ? [v0] : (addition(v0, all_0_9_9) = all_123_0_112 & addition(all_0_1_1, all_0_9_9) = v0)
% 49.96/16.83 |
% 49.96/16.83 | Instantiating (594) with all_803_0_962 yields:
% 49.96/16.83 | (601) addition(all_58_0_41, all_803_0_962) = all_123_0_112 & addition(all_0_9_9, all_0_9_9) = all_803_0_962
% 49.96/16.83 |
% 49.96/16.83 | Applying alpha-rule on (601) yields:
% 49.96/16.83 | (602) addition(all_58_0_41, all_803_0_962) = all_123_0_112
% 49.96/16.83 | (603) addition(all_0_9_9, all_0_9_9) = all_803_0_962
% 49.96/16.83 |
% 49.96/16.83 | Instantiating (593) with all_820_0_994 yields:
% 49.96/16.83 | (604) multiplication(all_820_0_994, one) = all_123_0_112 & addition(all_0_1_1, all_0_9_9) = all_820_0_994
% 49.96/16.83 |
% 49.96/16.83 | Applying alpha-rule on (604) yields:
% 49.96/16.83 | (605) multiplication(all_820_0_994, one) = all_123_0_112
% 49.96/16.83 | (606) addition(all_0_1_1, all_0_9_9) = all_820_0_994
% 49.96/16.83 |
% 49.96/16.83 | Instantiating (592) with all_843_0_1026 yields:
% 49.96/16.83 | (607) addition(all_843_0_1026, all_35_2_33) = all_104_0_95 & addition(all_0_1_1, all_0_9_9) = all_843_0_1026
% 49.96/16.83 |
% 49.96/16.83 | Applying alpha-rule on (607) yields:
% 49.96/16.83 | (608) addition(all_843_0_1026, all_35_2_33) = all_104_0_95
% 49.96/16.83 | (609) addition(all_0_1_1, all_0_9_9) = all_843_0_1026
% 49.96/16.83 |
% 49.96/16.83 | Instantiating (591) with all_845_0_1027 yields:
% 49.96/16.83 | (610) addition(all_845_0_1027, all_0_9_9) = all_104_0_95 & addition(all_0_1_1, all_35_2_33) = all_845_0_1027
% 49.96/16.83 |
% 49.96/16.83 | Applying alpha-rule on (610) yields:
% 49.96/16.83 | (611) addition(all_845_0_1027, all_0_9_9) = all_104_0_95
% 49.96/16.83 | (612) addition(all_0_1_1, all_35_2_33) = all_845_0_1027
% 49.96/16.83 |
% 49.96/16.83 | Instantiating (589) with all_1104_0_1405 yields:
% 49.96/16.83 | (613) addition(all_1104_0_1405, all_0_9_9) = all_176_0_193 & addition(all_35_2_33, all_58_0_41) = all_1104_0_1405
% 49.96/16.83 |
% 49.96/16.83 | Applying alpha-rule on (613) yields:
% 49.96/16.83 | (614) addition(all_1104_0_1405, all_0_9_9) = all_176_0_193
% 49.96/16.83 | (615) addition(all_35_2_33, all_58_0_41) = all_1104_0_1405
% 49.96/16.83 |
% 49.96/16.83 | Instantiating (586) with all_1507_0_1958 yields:
% 49.96/16.83 | (616) addition(all_35_2_33, all_1507_0_1958) = all_352_0_462 & addition(all_0_9_9, all_0_9_9) = all_1507_0_1958
% 49.96/16.83 |
% 49.96/16.83 | Applying alpha-rule on (616) yields:
% 49.96/16.83 | (617) addition(all_35_2_33, all_1507_0_1958) = all_352_0_462
% 49.96/16.83 | (618) addition(all_0_9_9, all_0_9_9) = all_1507_0_1958
% 49.96/16.83 |
% 49.96/16.83 | Instantiating (583) with all_1515_0_1964 yields:
% 49.96/16.83 | (619) multiplication(all_0_2_2, all_0_6_6) = all_1515_0_1964 & multiplication(all_0_7_7, all_1515_0_1964) = all_305_1_376
% 49.96/16.83 |
% 49.96/16.83 | Applying alpha-rule on (619) yields:
% 49.96/16.83 | (620) multiplication(all_0_2_2, all_0_6_6) = all_1515_0_1964
% 49.96/16.83 | (621) multiplication(all_0_7_7, all_1515_0_1964) = all_305_1_376
% 49.96/16.83 |
% 49.96/16.83 | Instantiating (584) with all_1569_0_2029 yields:
% 49.96/16.83 | (622) multiplication(all_0_2_2, all_0_6_6) = all_1569_0_2029 & multiplication(one, all_1569_0_2029) = all_35_2_33
% 49.96/16.83 |
% 49.96/16.84 | Applying alpha-rule on (622) yields:
% 49.96/16.84 | (623) multiplication(all_0_2_2, all_0_6_6) = all_1569_0_2029
% 49.96/16.84 | (624) multiplication(one, all_1569_0_2029) = all_35_2_33
% 49.96/16.84 |
% 49.96/16.84 | Instantiating (585) with all_1572_0_2033 yields:
% 49.96/16.84 | (625) multiplication(all_0_2_2, all_0_5_5) = all_1572_0_2033 & multiplication(one, all_1572_0_2033) = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | Applying alpha-rule on (625) yields:
% 49.96/16.84 | (626) multiplication(all_0_2_2, all_0_5_5) = all_1572_0_2033
% 49.96/16.84 | (627) multiplication(one, all_1572_0_2033) = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | Instantiating (582) with all_1628_0_2100, all_1628_1_2101 yields:
% 49.96/16.84 | (628) multiplication(all_0_2_2, all_0_5_5) = all_1628_0_2100 & multiplication(all_0_2_2, all_0_6_6) = all_1628_1_2101 & addition(all_1628_1_2101, all_1628_0_2100) = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | Applying alpha-rule on (628) yields:
% 49.96/16.84 | (629) multiplication(all_0_2_2, all_0_5_5) = all_1628_0_2100
% 49.96/16.84 | (630) multiplication(all_0_2_2, all_0_6_6) = all_1628_1_2101
% 49.96/16.84 | (631) addition(all_1628_1_2101, all_1628_0_2100) = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | Instantiating (581) with all_1634_0_2105, all_1634_1_2106 yields:
% 49.96/16.84 | (632) multiplication(all_0_2_2, all_0_5_5) = all_1634_1_2106 & multiplication(all_0_2_2, all_0_6_6) = all_1634_0_2105 & addition(all_1634_1_2106, all_1634_0_2105) = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | Applying alpha-rule on (632) yields:
% 49.96/16.84 | (633) multiplication(all_0_2_2, all_0_5_5) = all_1634_1_2106
% 49.96/16.84 | (634) multiplication(all_0_2_2, all_0_6_6) = all_1634_0_2105
% 49.96/16.84 | (635) addition(all_1634_1_2106, all_1634_0_2105) = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | Instantiating (595) with all_1755_0_2259 yields:
% 49.96/16.84 | (636) addition(all_75_0_67, all_1755_0_2259) = all_347_0_452 & addition(all_0_9_9, all_0_9_9) = all_1755_0_2259
% 49.96/16.84 |
% 49.96/16.84 | Applying alpha-rule on (636) yields:
% 49.96/16.84 | (637) addition(all_75_0_67, all_1755_0_2259) = all_347_0_452
% 49.96/16.84 | (638) addition(all_0_9_9, all_0_9_9) = all_1755_0_2259
% 49.96/16.84 |
% 49.96/16.84 | Instantiating (599) with all_2006_0_2610 yields:
% 49.96/16.84 | (639) addition(all_0_9_9, all_2006_0_2610) = all_0_1_1 & addition(all_0_9_9, all_58_0_41) = all_2006_0_2610
% 49.96/16.84 |
% 49.96/16.84 | Applying alpha-rule on (639) yields:
% 49.96/16.84 | (640) addition(all_0_9_9, all_2006_0_2610) = all_0_1_1
% 49.96/16.84 | (641) addition(all_0_9_9, all_58_0_41) = all_2006_0_2610
% 49.96/16.84 |
% 49.96/16.84 | Instantiating (597) with all_2012_0_2614 yields:
% 49.96/16.84 | (642) addition(all_2012_0_2614, all_0_9_9) = all_398_0_527 & addition(all_0_9_9, all_58_0_41) = all_2012_0_2614
% 49.96/16.84 |
% 49.96/16.84 | Applying alpha-rule on (642) yields:
% 49.96/16.84 | (643) addition(all_2012_0_2614, all_0_9_9) = all_398_0_527
% 49.96/16.84 | (644) addition(all_0_9_9, all_58_0_41) = all_2012_0_2614
% 49.96/16.84 |
% 49.96/16.84 | Instantiating (600) with all_2014_0_2615 yields:
% 49.96/16.84 | (645) addition(all_2014_0_2615, all_0_9_9) = all_123_0_112 & addition(all_0_1_1, all_0_9_9) = all_2014_0_2615
% 49.96/16.84 |
% 49.96/16.84 | Applying alpha-rule on (645) yields:
% 49.96/16.84 | (646) addition(all_2014_0_2615, all_0_9_9) = all_123_0_112
% 49.96/16.84 | (647) addition(all_0_1_1, all_0_9_9) = all_2014_0_2615
% 49.96/16.84 |
% 49.96/16.84 | Instantiating (596) with all_2020_0_2618 yields:
% 49.96/16.84 | (648) addition(all_2020_0_2618, all_58_0_41) = all_398_0_527 & addition(all_0_9_9, all_0_9_9) = all_2020_0_2618
% 49.96/16.84 |
% 49.96/16.84 | Applying alpha-rule on (648) yields:
% 49.96/16.84 | (649) addition(all_2020_0_2618, all_58_0_41) = all_398_0_527
% 49.96/16.84 | (650) addition(all_0_9_9, all_0_9_9) = all_2020_0_2618
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (43) with all_0_2_2, all_0_5_5, all_1628_0_2100, all_58_0_41 and discharging atoms multiplication(all_0_2_2, all_0_5_5) = all_1628_0_2100, multiplication(all_0_2_2, all_0_5_5) = all_58_0_41, yields:
% 49.96/16.84 | (651) all_1628_0_2100 = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (43) with all_0_2_2, all_0_5_5, all_1628_0_2100, all_1634_1_2106 and discharging atoms multiplication(all_0_2_2, all_0_5_5) = all_1634_1_2106, multiplication(all_0_2_2, all_0_5_5) = all_1628_0_2100, yields:
% 49.96/16.84 | (652) all_1634_1_2106 = all_1628_0_2100
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (43) with all_0_2_2, all_0_5_5, all_1572_0_2033, all_1634_1_2106 and discharging atoms multiplication(all_0_2_2, all_0_5_5) = all_1634_1_2106, multiplication(all_0_2_2, all_0_5_5) = all_1572_0_2033, yields:
% 49.96/16.84 | (653) all_1634_1_2106 = all_1572_0_2033
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (43) with all_0_2_2, all_0_6_6, all_1628_1_2101, all_1634_0_2105 and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_1634_0_2105, multiplication(all_0_2_2, all_0_6_6) = all_1628_1_2101, yields:
% 49.96/16.84 | (654) all_1634_0_2105 = all_1628_1_2101
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (43) with all_0_2_2, all_0_6_6, all_1569_0_2029, all_1634_0_2105 and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_1634_0_2105, multiplication(all_0_2_2, all_0_6_6) = all_1569_0_2029, yields:
% 49.96/16.84 | (655) all_1634_0_2105 = all_1569_0_2029
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (43) with all_0_2_2, all_0_6_6, all_1515_0_1964, all_1634_0_2105 and discharging atoms multiplication(all_0_2_2, all_0_6_6) = all_1634_0_2105, multiplication(all_0_2_2, all_0_6_6) = all_1515_0_1964, yields:
% 49.96/16.84 | (656) all_1634_0_2105 = all_1515_0_1964
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (27) with all_35_2_33, all_1569_0_2029 and discharging atoms multiplication(one, all_1569_0_2029) = all_35_2_33, yields:
% 49.96/16.84 | (657) all_1569_0_2029 = all_35_2_33
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_1_1, all_35_2_33, all_176_0_193, all_845_0_1027 and discharging atoms addition(all_0_1_1, all_35_2_33) = all_845_0_1027, addition(all_0_1_1, all_35_2_33) = all_176_0_193, yields:
% 49.96/16.84 | (658) all_845_0_1027 = all_176_0_193
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_1_1, all_0_9_9, all_2014_0_2615, all_123_0_112 and discharging atoms addition(all_0_1_1, all_0_9_9) = all_2014_0_2615, addition(all_0_1_1, all_0_9_9) = all_123_0_112, yields:
% 49.96/16.84 | (659) all_2014_0_2615 = all_123_0_112
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_1_1, all_0_9_9, all_843_0_1026, all_2014_0_2615 and discharging atoms addition(all_0_1_1, all_0_9_9) = all_2014_0_2615, addition(all_0_1_1, all_0_9_9) = all_843_0_1026, yields:
% 49.96/16.84 | (660) all_2014_0_2615 = all_843_0_1026
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_1_1, all_0_9_9, all_820_0_994, all_843_0_1026 and discharging atoms addition(all_0_1_1, all_0_9_9) = all_843_0_1026, addition(all_0_1_1, all_0_9_9) = all_820_0_994, yields:
% 49.96/16.84 | (661) all_843_0_1026 = all_820_0_994
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_1_1, all_0_9_9, all_398_0_527, all_820_0_994 and discharging atoms addition(all_0_1_1, all_0_9_9) = all_820_0_994, addition(all_0_1_1, all_0_9_9) = all_398_0_527, yields:
% 49.96/16.84 | (662) all_820_0_994 = all_398_0_527
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_9_9, all_58_0_41, all_2012_0_2614, all_0_1_1 and discharging atoms addition(all_0_9_9, all_58_0_41) = all_2012_0_2614, addition(all_0_9_9, all_58_0_41) = all_0_1_1, yields:
% 49.96/16.84 | (663) all_2012_0_2614 = all_0_1_1
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_9_9, all_58_0_41, all_2006_0_2610, all_2012_0_2614 and discharging atoms addition(all_0_9_9, all_58_0_41) = all_2012_0_2614, addition(all_0_9_9, all_58_0_41) = all_2006_0_2610, yields:
% 49.96/16.84 | (664) all_2012_0_2614 = all_2006_0_2610
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (45) with all_2020_0_2618, all_0_9_9 and discharging atoms addition(all_0_9_9, all_0_9_9) = all_2020_0_2618, yields:
% 49.96/16.84 | (665) all_2020_0_2618 = all_0_9_9
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_9_9, all_0_9_9, all_1507_0_1958, all_2020_0_2618 and discharging atoms addition(all_0_9_9, all_0_9_9) = all_2020_0_2618, addition(all_0_9_9, all_0_9_9) = all_1507_0_1958, yields:
% 49.96/16.84 | (666) all_2020_0_2618 = all_1507_0_1958
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_9_9, all_0_9_9, all_1507_0_1958, all_1755_0_2259 and discharging atoms addition(all_0_9_9, all_0_9_9) = all_1755_0_2259, addition(all_0_9_9, all_0_9_9) = all_1507_0_1958, yields:
% 49.96/16.84 | (667) all_1755_0_2259 = all_1507_0_1958
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_9_9, all_0_9_9, all_803_0_962, all_1755_0_2259 and discharging atoms addition(all_0_9_9, all_0_9_9) = all_1755_0_2259, addition(all_0_9_9, all_0_9_9) = all_803_0_962, yields:
% 49.96/16.84 | (668) all_1755_0_2259 = all_803_0_962
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (666,665) yields a new equation:
% 49.96/16.84 | (669) all_1507_0_1958 = all_0_9_9
% 49.96/16.84 |
% 49.96/16.84 | Simplifying 669 yields:
% 49.96/16.84 | (670) all_1507_0_1958 = all_0_9_9
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (660,659) yields a new equation:
% 49.96/16.84 | (671) all_843_0_1026 = all_123_0_112
% 49.96/16.84 |
% 49.96/16.84 | Simplifying 671 yields:
% 49.96/16.84 | (672) all_843_0_1026 = all_123_0_112
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (663,664) yields a new equation:
% 49.96/16.84 | (673) all_2006_0_2610 = all_0_1_1
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (667,668) yields a new equation:
% 49.96/16.84 | (674) all_1507_0_1958 = all_803_0_962
% 49.96/16.84 |
% 49.96/16.84 | Simplifying 674 yields:
% 49.96/16.84 | (675) all_1507_0_1958 = all_803_0_962
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (656,654) yields a new equation:
% 49.96/16.84 | (676) all_1628_1_2101 = all_1515_0_1964
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (655,654) yields a new equation:
% 49.96/16.84 | (677) all_1628_1_2101 = all_1569_0_2029
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (652,653) yields a new equation:
% 49.96/16.84 | (678) all_1628_0_2100 = all_1572_0_2033
% 49.96/16.84 |
% 49.96/16.84 | Simplifying 678 yields:
% 49.96/16.84 | (679) all_1628_0_2100 = all_1572_0_2033
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (651,679) yields a new equation:
% 49.96/16.84 | (680) all_1572_0_2033 = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (677,676) yields a new equation:
% 49.96/16.84 | (681) all_1569_0_2029 = all_1515_0_1964
% 49.96/16.84 |
% 49.96/16.84 | Simplifying 681 yields:
% 49.96/16.84 | (682) all_1569_0_2029 = all_1515_0_1964
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (657,682) yields a new equation:
% 49.96/16.84 | (683) all_1515_0_1964 = all_35_2_33
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (675,670) yields a new equation:
% 49.96/16.84 | (684) all_803_0_962 = all_0_9_9
% 49.96/16.84 |
% 49.96/16.84 | Simplifying 684 yields:
% 49.96/16.84 | (685) all_803_0_962 = all_0_9_9
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (661,672) yields a new equation:
% 49.96/16.84 | (686) all_820_0_994 = all_123_0_112
% 49.96/16.84 |
% 49.96/16.84 | Simplifying 686 yields:
% 49.96/16.84 | (687) all_820_0_994 = all_123_0_112
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (662,687) yields a new equation:
% 49.96/16.84 | (688) all_398_0_527 = all_123_0_112
% 49.96/16.84 |
% 49.96/16.84 | Simplifying 688 yields:
% 49.96/16.84 | (689) all_398_0_527 = all_123_0_112
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (683,676) yields a new equation:
% 49.96/16.84 | (690) all_1628_1_2101 = all_35_2_33
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (680,679) yields a new equation:
% 49.96/16.84 | (651) all_1628_0_2100 = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | From (690)(651) and (631) follows:
% 49.96/16.84 | (692) addition(all_35_2_33, all_58_0_41) = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | From (689) and (588) follows:
% 49.96/16.84 | (693) addition(all_123_0_112, all_35_2_33) = all_104_0_95
% 49.96/16.84 |
% 49.96/16.84 | From (685) and (602) follows:
% 49.96/16.84 | (694) addition(all_58_0_41, all_0_9_9) = all_123_0_112
% 49.96/16.84 |
% 49.96/16.84 | From (658) and (612) follows:
% 49.96/16.84 | (590) addition(all_0_1_1, all_35_2_33) = all_176_0_193
% 49.96/16.84 |
% 49.96/16.84 | From (673) and (640) follows:
% 49.96/16.84 | (696) addition(all_0_9_9, all_0_1_1) = all_0_1_1
% 49.96/16.84 |
% 49.96/16.84 | From (689) and (350) follows:
% 49.96/16.84 | (697) addition(all_0_9_9, all_0_1_1) = all_123_0_112
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_35_2_33, all_58_0_41, all_58_0_41, all_1104_0_1405 and discharging atoms addition(all_35_2_33, all_58_0_41) = all_1104_0_1405, addition(all_35_2_33, all_58_0_41) = all_58_0_41, yields:
% 49.96/16.84 | (698) all_1104_0_1405 = all_58_0_41
% 49.96/16.84 |
% 49.96/16.84 | Instantiating formula (20) with all_0_9_9, all_0_1_1, all_0_1_1, all_123_0_112 and discharging atoms addition(all_0_9_9, all_0_1_1) = all_123_0_112, addition(all_0_9_9, all_0_1_1) = all_0_1_1, yields:
% 49.96/16.84 | (699) all_123_0_112 = all_0_1_1
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (699,689) yields a new equation:
% 49.96/16.84 | (700) all_398_0_527 = all_0_1_1
% 49.96/16.84 |
% 49.96/16.84 | From (698) and (614) follows:
% 49.96/16.84 | (701) addition(all_58_0_41, all_0_9_9) = all_176_0_193
% 49.96/16.84 |
% 49.96/16.84 | From (699) and (693) follows:
% 49.96/16.84 | (702) addition(all_0_1_1, all_35_2_33) = all_104_0_95
% 49.96/16.84 |
% 49.96/16.84 | From (699) and (694) follows:
% 49.96/16.84 | (578) addition(all_58_0_41, all_0_9_9) = all_0_1_1
% 49.96/16.84 |
% 49.96/16.84 +-Applying beta-rule and splitting (587), into two cases.
% 49.96/16.84 |-Branch one:
% 49.96/16.84 | (704) all_398_0_527 = all_104_0_95
% 49.96/16.84 |
% 49.96/16.84 | Combining equations (700,704) yields a new equation:
% 49.96/16.84 | (705) all_104_0_95 = all_0_1_1
% 49.96/16.84 |
% 49.96/16.84 | Equations (705) can reduce 177 to:
% 49.96/16.84 | (76) $false
% 49.96/16.84 |
% 49.96/16.84 |-The branch is then unsatisfiable
% 49.96/16.84 |-Branch two:
% 49.96/16.84 | (707) ~ (all_398_0_527 = all_104_0_95)
% 49.96/16.84 | (708) ? [v0] : ( ~ (v0 = 0) & leq(all_35_2_33, all_398_0_527) = v0)
% 49.96/16.84 |
% 49.96/16.84 | Equations (700) can reduce 707 to:
% 49.96/16.84 | (709) ~ (all_104_0_95 = all_0_1_1)
% 49.96/16.85 |
% 49.96/16.85 | Simplifying 709 yields:
% 49.96/16.85 | (177) ~ (all_104_0_95 = all_0_1_1)
% 49.96/16.85 |
% 49.96/16.85 | Instantiating formula (20) with all_58_0_41, all_0_9_9, all_176_0_193, all_0_1_1 and discharging atoms addition(all_58_0_41, all_0_9_9) = all_176_0_193, addition(all_58_0_41, all_0_9_9) = all_0_1_1, yields:
% 49.96/16.85 | (711) all_176_0_193 = all_0_1_1
% 49.96/16.85 |
% 49.96/16.85 | Instantiating formula (20) with all_0_1_1, all_35_2_33, all_104_0_95, all_176_0_193 and discharging atoms addition(all_0_1_1, all_35_2_33) = all_176_0_193, addition(all_0_1_1, all_35_2_33) = all_104_0_95, yields:
% 49.96/16.85 | (712) all_176_0_193 = all_104_0_95
% 49.96/16.85 |
% 49.96/16.85 | Combining equations (711,712) yields a new equation:
% 49.96/16.85 | (705) all_104_0_95 = all_0_1_1
% 49.96/16.85 |
% 49.96/16.85 | Equations (705) can reduce 177 to:
% 49.96/16.85 | (76) $false
% 49.96/16.85 |
% 49.96/16.85 |-The branch is then unsatisfiable
% 49.96/16.85 % SZS output end Proof for theBenchmark
% 49.96/16.85
% 49.96/16.85 16241ms
%------------------------------------------------------------------------------