TSTP Solution File: KLE010+3 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KLE010+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 01:50:51 EDT 2022
% Result : Theorem 9.28s 2.75s
% Output : Proof 25.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KLE010+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : ePrincess-casc -timeout=%d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Thu Jun 16 16:00:45 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.13/0.49 ____ _
% 0.13/0.49 ___ / __ \_____(_)___ ________ __________
% 0.13/0.49 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.13/0.49 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.13/0.49 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.13/0.49
% 0.13/0.49 A Theorem Prover for First-Order Logic
% 0.13/0.49 (ePrincess v.1.0)
% 0.13/0.49
% 0.13/0.49 (c) Philipp Rümmer, 2009-2015
% 0.13/0.49 (c) Peter Backeman, 2014-2015
% 0.13/0.49 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.13/0.49 Free software under GNU Lesser General Public License (LGPL).
% 0.13/0.49 Bug reports to peter@backeman.se
% 0.13/0.49
% 0.13/0.49 For more information, visit http://user.uu.se/~petba168/breu/
% 0.13/0.49
% 0.13/0.49 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.13/0.53 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.39/0.79 Prover 0: Preprocessing ...
% 2.13/1.06 Prover 0: Constructing countermodel ...
% 9.28/2.75 Prover 0: proved (2211ms)
% 9.28/2.75
% 9.28/2.75 No countermodel exists, formula is valid
% 9.28/2.75 % SZS status Theorem for theBenchmark
% 9.28/2.75
% 9.28/2.75 Generating proof ... found it (size 1168)
% 23.90/7.31
% 23.90/7.31 % SZS output start Proof for theBenchmark
% 23.90/7.31 Assumed formulas after preprocessing and simplification:
% 23.90/7.31 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ( ~ (v12 = one) & c(v1) = v3 & c(v0) = v8 & multiplication(v8, v3) = v11 & multiplication(v8, v1) = v9 & multiplication(v3, v0) = v4 & multiplication(v1, v0) = v2 & multiplication(v0, v1) = v6 & addition(v10, v11) = v12 & addition(v7, v9) = v10 & addition(v5, v6) = v7 & addition(v2, v4) = v5 & test(v1) & test(v0) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (multiplication(v14, v15) = v17) | ~ (multiplication(v13, v15) = v16) | ~ (addition(v16, v17) = v18) | ? [v19] : (multiplication(v19, v15) = v18 & addition(v13, v14) = v19)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (multiplication(v13, v15) = v17) | ~ (multiplication(v13, v14) = v16) | ~ (addition(v16, v17) = v18) | ? [v19] : (multiplication(v13, v19) = v18 & addition(v14, v15) = v19)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (c(v14) = v16) | ~ (c(v13) = v15) | ~ (multiplication(v15, v16) = v17) | ~ test(v14) | ~ test(v13) | ? [v18] : (c(v18) = v17 & addition(v13, v14) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (c(v14) = v16) | ~ (c(v13) = v15) | ~ (addition(v15, v16) = v17) | ~ test(v14) | ~ test(v13) | ? [v18] : (c(v18) = v17 & multiplication(v13, v14) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (multiplication(v16, v15) = v17) | ~ (multiplication(v13, v14) = v16) | ? [v18] : (multiplication(v14, v15) = v18 & multiplication(v13, v18) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (multiplication(v16, v15) = v17) | ~ (addition(v13, v14) = v16) | ? [v18] : ? [v19] : (multiplication(v14, v15) = v19 & multiplication(v13, v15) = v18 & addition(v18, v19) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (multiplication(v14, v15) = v16) | ~ (multiplication(v13, v16) = v17) | ? [v18] : (multiplication(v18, v15) = v17 & multiplication(v13, v14) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (multiplication(v13, v16) = v17) | ~ (addition(v14, v15) = v16) | ? [v18] : ? [v19] : (multiplication(v13, v15) = v19 & multiplication(v13, v14) = v18 & addition(v18, v19) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (addition(v16, v13) = v17) | ~ (addition(v15, v14) = v16) | ? [v18] : (addition(v15, v18) = v17 & addition(v14, v13) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (addition(v15, v16) = v17) | ~ (addition(v14, v13) = v16) | ? [v18] : (addition(v18, v13) = v17 & addition(v15, v14) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (multiplication(v16, v15) = v14) | ~ (multiplication(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (addition(v16, v15) = v14) | ~ (addition(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (c(v13) = v15) | ~ complement(v13, v14) | ~ test(v13)) & ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (addition(v13, v14) = v15) | ~ leq(v13, v14)) & ! [v13] : ! [v14] : ! [v15] : (v15 = one | ~ (addition(v13, v14) = v15) | ~ complement(v14, v13)) & ! [v13] : ! [v14] : ! [v15] : (v15 = zero | ~ (multiplication(v14, v13) = v15) | ~ complement(v14, v13)) & ! [v13] : ! [v14] : ! [v15] : (v15 = zero | ~ (multiplication(v13, v14) = v15) | ~ complement(v14, v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (c(v15) = v14) | ~ (c(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (multiplication(v14, v13) = v15) | ~ complement(v14, v13) | (multiplication(v13, v14) = zero & addition(v13, v14) = one)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (multiplication(v13, v14) = v15) | ~ complement(v14, v13) | (multiplication(v14, v13) = zero & addition(v13, v14) = one)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (multiplication(v13, v14) = v15) | ~ test(v14) | ~ test(v13) | ? [v16] : ? [v17] : ? [v18] : (c(v15) = v16 & c(v14) = v18 & c(v13) = v17 & addition(v17, v18) = v16)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (addition(v14, v13) = v15) | addition(v13, v14) = v15) & ! [v13] : ! [v14] : ! [v15] : ( ~ (addition(v13, v14) = v15) | ~ complement(v14, v13) | (multiplication(v14, v13) = zero & multiplication(v13, v14) = zero)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (addition(v13, v14) = v15) | ~ test(v14) | ~ test(v13) | ? [v16] : ? [v17] : ? [v18] : (c(v15) = v16 & c(v14) = v18 & c(v13) = v17 & multiplication(v17, v18) = v16)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (addition(v13, v14) = v15) | addition(v14, v13) = v15) & ! [v13] : ! [v14] : (v14 = v13 | ~ (multiplication(v13, one) = v14)) & ! [v13] : ! [v14] : (v14 = v13 | ~ (multiplication(one, v13) = v14)) & ! [v13] : ! [v14] : (v14 = v13 | ~ (addition(v13, v13) = v14)) & ! [v13] : ! [v14] : (v14 = v13 | ~ (addition(v13, zero) = v14)) & ! [v13] : ! [v14] : (v14 = zero | ~ (c(v13) = v14) | test(v13)) & ! [v13] : ! [v14] : (v14 = zero | ~ (multiplication(v13, zero) = v14)) & ! [v13] : ! [v14] : (v14 = zero | ~ (multiplication(zero, v13) = v14)) & ! [v13] : ! [v14] : ( ~ (c(v13) = v14) | ~ test(v13) | complement(v13, v14)) & ! [v13] : ! [v14] : ( ~ (multiplication(v14, v13) = zero) | complement(v14, v13) | ? [v15] : ? [v16] : (multiplication(v13, v14) = v15 & addition(v13, v14) = v16 & ( ~ (v16 = one) | ~ (v15 = zero)))) & ! [v13] : ! [v14] : ( ~ (multiplication(v13, v14) = zero) | complement(v14, v13) | ? [v15] : ? [v16] : (multiplication(v14, v13) = v15 & addition(v13, v14) = v16 & ( ~ (v16 = one) | ~ (v15 = zero)))) & ! [v13] : ! [v14] : ( ~ (addition(v13, v14) = v14) | leq(v13, v14)) & ! [v13] : ! [v14] : ( ~ (addition(v13, v14) = one) | complement(v14, v13) | ? [v15] : ? [v16] : (multiplication(v14, v13) = v16 & multiplication(v13, v14) = v15 & ( ~ (v16 = zero) | ~ (v15 = zero)))) & ! [v13] : ! [v14] : ( ~ complement(v14, v13) | test(v13)) & ! [v13] : ( ~ test(v13) | ? [v14] : complement(v14, v13)))
% 23.90/7.35 | 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, all_0_10_10, all_0_11_11, all_0_12_12 yields:
% 23.90/7.35 | (1) ~ (all_0_0_0 = one) & c(all_0_11_11) = all_0_9_9 & c(all_0_12_12) = all_0_4_4 & multiplication(all_0_4_4, all_0_9_9) = all_0_1_1 & multiplication(all_0_4_4, all_0_11_11) = all_0_3_3 & multiplication(all_0_9_9, all_0_12_12) = all_0_8_8 & multiplication(all_0_11_11, all_0_12_12) = all_0_10_10 & multiplication(all_0_12_12, all_0_11_11) = all_0_6_6 & addition(all_0_2_2, all_0_1_1) = all_0_0_0 & addition(all_0_5_5, all_0_3_3) = all_0_2_2 & addition(all_0_7_7, all_0_6_6) = all_0_5_5 & addition(all_0_10_10, all_0_8_8) = all_0_7_7 & test(all_0_11_11) & test(all_0_12_12) & ! [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] : ( ~ (c(v1) = v3) | ~ (c(v0) = v2) | ~ (multiplication(v2, v3) = v4) | ~ test(v1) | ~ test(v0) | ? [v5] : (c(v5) = v4 & addition(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c(v1) = v3) | ~ (c(v0) = v2) | ~ (addition(v2, v3) = v4) | ~ test(v1) | ~ test(v0) | ? [v5] : (c(v5) = v4 & multiplication(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ? [v5] : ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ? [v5] : ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c(v0) = v2) | ~ complement(v0, v1) | ~ test(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ~ leq(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = one | ~ (addition(v0, v1) = v2) | ~ complement(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = zero | ~ (multiplication(v1, v0) = v2) | ~ complement(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = zero | ~ (multiplication(v0, v1) = v2) | ~ complement(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c(v2) = v1) | ~ (c(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v1, v0) = v2) | ~ complement(v1, v0) | (multiplication(v0, v1) = zero & addition(v0, v1) = one)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v0, v1) = v2) | ~ complement(v1, v0) | (multiplication(v1, v0) = zero & addition(v0, v1) = one)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v0, v1) = v2) | ~ test(v1) | ~ test(v0) | ? [v3] : ? [v4] : ? [v5] : (c(v2) = v3 & c(v1) = v5 & c(v0) = v4 & addition(v4, v5) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | ~ complement(v1, v0) | (multiplication(v1, v0) = zero & multiplication(v0, v1) = zero)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | ~ test(v1) | ~ test(v0) | ? [v3] : ? [v4] : ? [v5] : (c(v2) = v3 & c(v1) = v5 & c(v0) = v4 & multiplication(v4, v5) = v3)) & ! [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 | ~ (c(v0) = v1) | test(v0)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (c(v0) = v1) | ~ test(v0) | complement(v0, v1)) & ! [v0] : ! [v1] : ( ~ (multiplication(v1, v0) = zero) | complement(v1, v0) | ? [v2] : ? [v3] : (multiplication(v0, v1) = v2 & addition(v0, v1) = v3 & ( ~ (v3 = one) | ~ (v2 = zero)))) & ! [v0] : ! [v1] : ( ~ (multiplication(v0, v1) = zero) | complement(v1, v0) | ? [v2] : ? [v3] : (multiplication(v1, v0) = v2 & addition(v0, v1) = v3 & ( ~ (v3 = one) | ~ (v2 = zero)))) & ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1)) & ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = one) | complement(v1, v0) | ? [v2] : ? [v3] : (multiplication(v1, v0) = v3 & multiplication(v0, v1) = v2 & ( ~ (v3 = zero) | ~ (v2 = zero)))) & ! [v0] : ! [v1] : ( ~ complement(v1, v0) | test(v0)) & ! [v0] : ( ~ test(v0) | ? [v1] : complement(v1, v0))
% 23.90/7.36 |
% 23.90/7.36 | Applying alpha-rule on (1) yields:
% 23.90/7.36 | (2) ! [v0] : ! [v1] : ( ~ complement(v1, v0) | test(v0))
% 23.90/7.36 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4))
% 23.90/7.36 | (4) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ~ leq(v0, v1))
% 23.90/7.36 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | ~ test(v1) | ~ test(v0) | ? [v3] : ? [v4] : ? [v5] : (c(v2) = v3 & c(v1) = v5 & c(v0) = v4 & multiplication(v4, v5) = v3))
% 23.90/7.36 | (6) multiplication(all_0_4_4, all_0_11_11) = all_0_3_3
% 23.90/7.37 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v0, v1) = v2) | ~ test(v1) | ~ test(v0) | ? [v3] : ? [v4] : ? [v5] : (c(v2) = v3 & c(v1) = v5 & c(v0) = v4 & addition(v4, v5) = v3))
% 23.90/7.37 | (8) ! [v0] : ! [v1] : (v1 = zero | ~ (c(v0) = v1) | test(v0))
% 23.90/7.37 | (9) ! [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))
% 23.90/7.37 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v0, v1) = v2) | ~ complement(v1, v0) | (multiplication(v1, v0) = zero & addition(v0, v1) = one))
% 23.90/7.37 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (multiplication(v1, v0) = v2) | ~ complement(v1, v0) | (multiplication(v0, v1) = zero & addition(v0, v1) = one))
% 23.90/7.37 | (12) multiplication(all_0_4_4, all_0_9_9) = all_0_1_1
% 23.90/7.37 | (13) addition(all_0_7_7, all_0_6_6) = all_0_5_5
% 23.90/7.37 | (14) ! [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))
% 23.90/7.37 | (15) ! [v0] : ! [v1] : ! [v2] : (v2 = zero | ~ (multiplication(v0, v1) = v2) | ~ complement(v1, v0))
% 23.90/7.37 | (16) multiplication(all_0_11_11, all_0_12_12) = all_0_10_10
% 23.90/7.37 | (17) ~ (all_0_0_0 = one)
% 23.90/7.37 | (18) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1))
% 23.90/7.37 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0))
% 23.90/7.37 | (20) addition(all_0_10_10, all_0_8_8) = all_0_7_7
% 23.90/7.37 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c(v1) = v3) | ~ (c(v0) = v2) | ~ (multiplication(v2, v3) = v4) | ~ test(v1) | ~ test(v0) | ? [v5] : (c(v5) = v4 & addition(v0, v1) = v5))
% 23.90/7.37 | (22) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c(v0) = v2) | ~ complement(v0, v1) | ~ test(v0))
% 23.90/7.37 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | ~ complement(v1, v0) | (multiplication(v1, v0) = zero & multiplication(v0, v1) = zero))
% 23.90/7.37 | (24) ! [v0] : ! [v1] : ( ~ (multiplication(v1, v0) = zero) | complement(v1, v0) | ? [v2] : ? [v3] : (multiplication(v0, v1) = v2 & addition(v0, v1) = v3 & ( ~ (v3 = one) | ~ (v2 = zero))))
% 23.90/7.37 | (25) ! [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))
% 23.90/7.37 | (26) multiplication(all_0_12_12, all_0_11_11) = all_0_6_6
% 23.90/7.37 | (27) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1))
% 23.90/7.37 | (28) ! [v0] : ! [v1] : ( ~ (multiplication(v0, v1) = zero) | complement(v1, v0) | ? [v2] : ? [v3] : (multiplication(v1, v0) = v2 & addition(v0, v1) = v3 & ( ~ (v3 = one) | ~ (v2 = zero))))
% 23.90/7.37 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c(v2) = v1) | ~ (c(v2) = v0))
% 23.90/7.37 | (30) c(all_0_12_12) = all_0_4_4
% 23.90/7.37 | (31) ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1))
% 23.90/7.37 | (32) ! [v0] : ! [v1] : ! [v2] : (v2 = zero | ~ (multiplication(v1, v0) = v2) | ~ complement(v1, v0))
% 23.90/7.37 | (33) ! [v0] : ! [v1] : ! [v2] : (v2 = one | ~ (addition(v0, v1) = v2) | ~ complement(v1, v0))
% 23.90/7.37 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5))
% 23.90/7.37 | (35) test(all_0_11_11)
% 23.90/7.37 | (36) c(all_0_11_11) = all_0_9_9
% 23.90/7.37 | (37) test(all_0_12_12)
% 23.90/7.37 | (38) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1))
% 23.90/7.37 | (39) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1))
% 23.90/7.37 | (40) addition(all_0_2_2, all_0_1_1) = all_0_0_0
% 23.90/7.37 | (41) multiplication(all_0_9_9, all_0_12_12) = all_0_8_8
% 23.90/7.37 | (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))
% 23.90/7.37 | (43) ! [v0] : ! [v1] : ( ~ (c(v0) = v1) | ~ test(v0) | complement(v0, v1))
% 23.90/7.38 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c(v1) = v3) | ~ (c(v0) = v2) | ~ (addition(v2, v3) = v4) | ~ test(v1) | ~ test(v0) | ? [v5] : (c(v5) = v4 & multiplication(v0, v1) = v5))
% 23.90/7.38 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0))
% 23.90/7.38 | (46) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1))
% 23.90/7.38 | (47) addition(all_0_5_5, all_0_3_3) = all_0_2_2
% 23.90/7.38 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5))
% 23.90/7.38 | (49) ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = one) | complement(v1, v0) | ? [v2] : ? [v3] : (multiplication(v1, v0) = v3 & multiplication(v0, v1) = v2 & ( ~ (v3 = zero) | ~ (v2 = zero))))
% 23.90/7.38 | (50) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1))
% 23.90/7.38 | (51) ! [v0] : ( ~ test(v0) | ? [v1] : complement(v1, v0))
% 23.90/7.38 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5))
% 23.90/7.38 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2)
% 23.90/7.38 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2)
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (54) with all_0_0_0, all_0_2_2, all_0_1_1 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 23.90/7.38 | (55) addition(all_0_1_1, all_0_2_2) = all_0_0_0
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_0_5_5, all_0_3_3, all_0_1_1 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_0_0_0, addition(all_0_5_5, all_0_3_3) = all_0_2_2, yields:
% 23.90/7.38 | (56) ? [v0] : (addition(all_0_3_3, all_0_1_1) = v0 & addition(all_0_5_5, v0) = all_0_0_0)
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (54) with all_0_2_2, all_0_5_5, all_0_3_3 and discharging atoms addition(all_0_5_5, all_0_3_3) = all_0_2_2, yields:
% 23.90/7.38 | (57) addition(all_0_3_3, all_0_5_5) = all_0_2_2
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (48) with all_0_2_2, all_0_5_5, all_0_7_7, all_0_6_6, all_0_3_3 and discharging atoms addition(all_0_5_5, all_0_3_3) = all_0_2_2, addition(all_0_7_7, all_0_6_6) = all_0_5_5, yields:
% 23.90/7.38 | (58) ? [v0] : (addition(all_0_6_6, all_0_3_3) = v0 & addition(all_0_7_7, v0) = all_0_2_2)
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (54) with all_0_5_5, all_0_7_7, all_0_6_6 and discharging atoms addition(all_0_7_7, all_0_6_6) = all_0_5_5, yields:
% 23.90/7.38 | (59) addition(all_0_6_6, all_0_7_7) = all_0_5_5
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (42) with all_0_7_7, all_0_8_8, all_0_10_10, all_0_12_12, all_0_9_9, all_0_11_11 and discharging atoms multiplication(all_0_9_9, all_0_12_12) = all_0_8_8, multiplication(all_0_11_11, all_0_12_12) = all_0_10_10, addition(all_0_10_10, all_0_8_8) = all_0_7_7, yields:
% 23.90/7.38 | (60) ? [v0] : (multiplication(v0, all_0_12_12) = all_0_7_7 & addition(all_0_11_11, all_0_9_9) = v0)
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (48) with all_0_5_5, all_0_7_7, all_0_10_10, all_0_8_8, all_0_6_6 and discharging atoms addition(all_0_7_7, all_0_6_6) = all_0_5_5, addition(all_0_10_10, all_0_8_8) = all_0_7_7, yields:
% 23.90/7.38 | (61) ? [v0] : (addition(all_0_8_8, all_0_6_6) = v0 & addition(all_0_10_10, v0) = all_0_5_5)
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (54) with all_0_7_7, all_0_10_10, all_0_8_8 and discharging atoms addition(all_0_10_10, all_0_8_8) = all_0_7_7, yields:
% 23.90/7.38 | (62) addition(all_0_8_8, all_0_10_10) = all_0_7_7
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (43) with all_0_9_9, all_0_11_11 and discharging atoms c(all_0_11_11) = all_0_9_9, test(all_0_11_11), yields:
% 23.90/7.38 | (63) complement(all_0_11_11, all_0_9_9)
% 23.90/7.38 |
% 23.90/7.38 | Instantiating formula (21) with all_0_1_1, all_0_9_9, all_0_4_4, all_0_11_11, all_0_12_12 and discharging atoms c(all_0_11_11) = all_0_9_9, c(all_0_12_12) = all_0_4_4, multiplication(all_0_4_4, all_0_9_9) = all_0_1_1, test(all_0_11_11), test(all_0_12_12), yields:
% 24.36/7.38 | (64) ? [v0] : (c(v0) = all_0_1_1 & addition(all_0_12_12, all_0_11_11) = v0)
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (43) with all_0_4_4, all_0_12_12 and discharging atoms c(all_0_12_12) = all_0_4_4, test(all_0_12_12), yields:
% 24.36/7.38 | (65) complement(all_0_12_12, all_0_4_4)
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (7) with all_0_10_10, all_0_12_12, all_0_11_11 and discharging atoms multiplication(all_0_11_11, all_0_12_12) = all_0_10_10, test(all_0_11_11), test(all_0_12_12), yields:
% 24.36/7.38 | (66) ? [v0] : ? [v1] : ? [v2] : (c(all_0_10_10) = v0 & c(all_0_11_11) = v1 & c(all_0_12_12) = v2 & addition(v1, v2) = v0)
% 24.36/7.38 |
% 24.36/7.38 | Instantiating formula (7) with all_0_6_6, all_0_11_11, all_0_12_12 and discharging atoms multiplication(all_0_12_12, all_0_11_11) = all_0_6_6, test(all_0_11_11), test(all_0_12_12), yields:
% 24.36/7.38 | (67) ? [v0] : ? [v1] : ? [v2] : (c(all_0_6_6) = v0 & c(all_0_11_11) = v2 & c(all_0_12_12) = v1 & addition(v1, v2) = v0)
% 24.36/7.38 |
% 24.36/7.38 | Instantiating (61) with all_9_0_13 yields:
% 24.36/7.38 | (68) addition(all_0_8_8, all_0_6_6) = all_9_0_13 & addition(all_0_10_10, all_9_0_13) = all_0_5_5
% 24.36/7.38 |
% 24.36/7.38 | Applying alpha-rule on (68) yields:
% 24.36/7.38 | (69) addition(all_0_8_8, all_0_6_6) = all_9_0_13
% 24.36/7.39 | (70) addition(all_0_10_10, all_9_0_13) = all_0_5_5
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (58) with all_11_0_14 yields:
% 24.36/7.39 | (71) addition(all_0_6_6, all_0_3_3) = all_11_0_14 & addition(all_0_7_7, all_11_0_14) = all_0_2_2
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (71) yields:
% 24.36/7.39 | (72) addition(all_0_6_6, all_0_3_3) = all_11_0_14
% 24.36/7.39 | (73) addition(all_0_7_7, all_11_0_14) = all_0_2_2
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (56) with all_13_0_15 yields:
% 24.36/7.39 | (74) addition(all_0_3_3, all_0_1_1) = all_13_0_15 & addition(all_0_5_5, all_13_0_15) = all_0_0_0
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (74) yields:
% 24.36/7.39 | (75) addition(all_0_3_3, all_0_1_1) = all_13_0_15
% 24.36/7.39 | (76) addition(all_0_5_5, all_13_0_15) = all_0_0_0
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (67) with all_19_0_18, all_19_1_19, all_19_2_20 yields:
% 24.36/7.39 | (77) c(all_0_6_6) = all_19_2_20 & c(all_0_11_11) = all_19_0_18 & c(all_0_12_12) = all_19_1_19 & addition(all_19_1_19, all_19_0_18) = all_19_2_20
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (77) yields:
% 24.36/7.39 | (78) c(all_0_6_6) = all_19_2_20
% 24.36/7.39 | (79) c(all_0_11_11) = all_19_0_18
% 24.36/7.39 | (80) c(all_0_12_12) = all_19_1_19
% 24.36/7.39 | (81) addition(all_19_1_19, all_19_0_18) = all_19_2_20
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (66) with all_21_0_21, all_21_1_22, all_21_2_23 yields:
% 24.36/7.39 | (82) c(all_0_10_10) = all_21_2_23 & c(all_0_11_11) = all_21_1_22 & c(all_0_12_12) = all_21_0_21 & addition(all_21_1_22, all_21_0_21) = all_21_2_23
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (82) yields:
% 24.36/7.39 | (83) c(all_0_10_10) = all_21_2_23
% 24.36/7.39 | (84) c(all_0_11_11) = all_21_1_22
% 24.36/7.39 | (85) c(all_0_12_12) = all_21_0_21
% 24.36/7.39 | (86) addition(all_21_1_22, all_21_0_21) = all_21_2_23
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (60) with all_23_0_24 yields:
% 24.36/7.39 | (87) multiplication(all_23_0_24, all_0_12_12) = all_0_7_7 & addition(all_0_11_11, all_0_9_9) = all_23_0_24
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (87) yields:
% 24.36/7.39 | (88) multiplication(all_23_0_24, all_0_12_12) = all_0_7_7
% 24.36/7.39 | (89) addition(all_0_11_11, all_0_9_9) = all_23_0_24
% 24.36/7.39 |
% 24.36/7.39 | Instantiating (64) with all_25_0_25 yields:
% 24.36/7.39 | (90) c(all_25_0_25) = all_0_1_1 & addition(all_0_12_12, all_0_11_11) = all_25_0_25
% 24.36/7.39 |
% 24.36/7.39 | Applying alpha-rule on (90) yields:
% 24.36/7.39 | (91) c(all_25_0_25) = all_0_1_1
% 24.36/7.39 | (92) addition(all_0_12_12, all_0_11_11) = all_25_0_25
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (29) with all_0_11_11, all_19_0_18, all_21_1_22 and discharging atoms c(all_0_11_11) = all_21_1_22, c(all_0_11_11) = all_19_0_18, yields:
% 24.36/7.39 | (93) all_21_1_22 = all_19_0_18
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (29) with all_0_12_12, all_19_1_19, all_21_0_21 and discharging atoms c(all_0_12_12) = all_21_0_21, c(all_0_12_12) = all_19_1_19, yields:
% 24.36/7.39 | (94) all_21_0_21 = all_19_1_19
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (22) with all_21_1_22, all_0_9_9, all_0_11_11 and discharging atoms c(all_0_11_11) = all_21_1_22, complement(all_0_11_11, all_0_9_9), test(all_0_11_11), yields:
% 24.36/7.39 | (95) all_21_1_22 = all_0_9_9
% 24.36/7.39 |
% 24.36/7.39 | Instantiating formula (22) with all_21_0_21, all_0_4_4, all_0_12_12 and discharging atoms c(all_0_12_12) = all_21_0_21, complement(all_0_12_12, all_0_4_4), test(all_0_12_12), yields:
% 24.36/7.39 | (96) all_21_0_21 = all_0_4_4
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (96,94) yields a new equation:
% 24.36/7.39 | (97) all_19_1_19 = all_0_4_4
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (95,93) yields a new equation:
% 24.36/7.39 | (98) all_19_0_18 = all_0_9_9
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (98,93) yields a new equation:
% 24.36/7.39 | (95) all_21_1_22 = all_0_9_9
% 24.36/7.39 |
% 24.36/7.39 | Combining equations (97,94) yields a new equation:
% 24.36/7.39 | (96) all_21_0_21 = all_0_4_4
% 24.36/7.39 |
% 24.36/7.39 | From (98) and (79) follows:
% 24.36/7.39 | (36) c(all_0_11_11) = all_0_9_9
% 24.36/7.39 |
% 24.36/7.39 | From (97) and (80) follows:
% 24.41/7.39 | (30) c(all_0_12_12) = all_0_4_4
% 24.41/7.39 |
% 24.41/7.39 | From (95)(96) and (86) follows:
% 24.41/7.39 | (103) addition(all_0_9_9, all_0_4_4) = all_21_2_23
% 24.41/7.39 |
% 24.41/7.39 | From (97)(98) and (81) follows:
% 24.41/7.39 | (104) addition(all_0_4_4, all_0_9_9) = all_19_2_20
% 24.41/7.39 |
% 24.41/7.39 | Instantiating formula (52) with all_0_0_0, all_0_2_2, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_0_0_0, addition(all_0_5_5, all_0_3_3) = all_0_2_2, yields:
% 24.41/7.39 | (105) ? [v0] : (addition(v0, all_0_3_3) = all_0_0_0 & addition(all_0_1_1, all_0_5_5) = v0)
% 24.41/7.39 |
% 24.41/7.39 | Instantiating formula (9) with all_13_0_15, all_0_1_1, all_0_3_3, all_0_9_9, all_0_11_11, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_9_9) = all_0_1_1, multiplication(all_0_4_4, all_0_11_11) = all_0_3_3, addition(all_0_3_3, all_0_1_1) = all_13_0_15, yields:
% 24.41/7.39 | (106) ? [v0] : (multiplication(all_0_4_4, v0) = all_13_0_15 & addition(all_0_11_11, all_0_9_9) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (54) with all_13_0_15, all_0_3_3, all_0_1_1 and discharging atoms addition(all_0_3_3, all_0_1_1) = all_13_0_15, yields:
% 24.41/7.40 | (107) addition(all_0_1_1, all_0_3_3) = all_13_0_15
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_0_3_3, all_0_5_5, all_0_1_1 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_0_0_0, addition(all_0_3_3, all_0_5_5) = all_0_2_2, yields:
% 24.41/7.40 | (108) ? [v0] : (addition(all_0_3_3, v0) = all_0_0_0 & addition(all_0_5_5, all_0_1_1) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (52) with all_0_2_2, all_0_5_5, all_0_3_3, all_0_7_7, all_0_6_6 and discharging atoms addition(all_0_3_3, all_0_5_5) = all_0_2_2, addition(all_0_7_7, all_0_6_6) = all_0_5_5, yields:
% 24.41/7.40 | (109) ? [v0] : (addition(v0, all_0_6_6) = all_0_2_2 & addition(all_0_3_3, all_0_7_7) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (52) with all_0_0_0, all_0_2_2, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_0_0_0, addition(all_0_3_3, all_0_5_5) = all_0_2_2, yields:
% 24.41/7.40 | (110) ? [v0] : (addition(v0, all_0_5_5) = all_0_0_0 & addition(all_0_1_1, all_0_3_3) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (54) with all_19_2_20, all_0_4_4, all_0_9_9 and discharging atoms addition(all_0_4_4, all_0_9_9) = all_19_2_20, yields:
% 24.41/7.40 | (111) addition(all_0_9_9, all_0_4_4) = all_19_2_20
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_0_0, all_0_5_5, all_0_7_7, all_0_6_6, all_13_0_15 and discharging atoms addition(all_0_5_5, all_13_0_15) = all_0_0_0, addition(all_0_7_7, all_0_6_6) = all_0_5_5, yields:
% 24.41/7.40 | (112) ? [v0] : (addition(all_0_6_6, all_13_0_15) = v0 & addition(all_0_7_7, v0) = all_0_0_0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (42) with all_11_0_14, all_0_3_3, all_0_6_6, all_0_11_11, all_0_4_4, all_0_12_12 and discharging atoms multiplication(all_0_4_4, all_0_11_11) = all_0_3_3, multiplication(all_0_12_12, all_0_11_11) = all_0_6_6, addition(all_0_6_6, all_0_3_3) = all_11_0_14, yields:
% 24.41/7.40 | (113) ? [v0] : (multiplication(v0, all_0_11_11) = all_11_0_14 & addition(all_0_12_12, all_0_4_4) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (54) with all_11_0_14, all_0_6_6, all_0_3_3 and discharging atoms addition(all_0_6_6, all_0_3_3) = all_11_0_14, yields:
% 24.41/7.40 | (114) addition(all_0_3_3, all_0_6_6) = all_11_0_14
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_2_2, all_0_5_5, all_0_6_6, all_0_7_7, all_0_3_3 and discharging atoms addition(all_0_5_5, all_0_3_3) = all_0_2_2, addition(all_0_6_6, all_0_7_7) = all_0_5_5, yields:
% 24.41/7.40 | (115) ? [v0] : (addition(all_0_6_6, v0) = all_0_2_2 & addition(all_0_7_7, all_0_3_3) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (52) with all_0_5_5, all_0_7_7, all_0_6_6, all_0_10_10, all_0_8_8 and discharging atoms addition(all_0_6_6, all_0_7_7) = all_0_5_5, addition(all_0_10_10, all_0_8_8) = all_0_7_7, yields:
% 24.41/7.40 | (116) ? [v0] : (addition(v0, all_0_8_8) = all_0_5_5 & addition(all_0_6_6, all_0_10_10) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (52) with all_0_2_2, all_0_5_5, all_0_3_3, all_0_6_6, all_0_7_7 and discharging atoms addition(all_0_3_3, all_0_5_5) = all_0_2_2, addition(all_0_6_6, all_0_7_7) = all_0_5_5, yields:
% 24.41/7.40 | (117) ? [v0] : (addition(v0, all_0_7_7) = all_0_2_2 & addition(all_0_3_3, all_0_6_6) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_0_0, all_0_5_5, all_0_6_6, all_0_7_7, all_13_0_15 and discharging atoms addition(all_0_5_5, all_13_0_15) = all_0_0_0, addition(all_0_6_6, all_0_7_7) = all_0_5_5, yields:
% 24.41/7.40 | (118) ? [v0] : (addition(all_0_6_6, v0) = all_0_0_0 & addition(all_0_7_7, all_13_0_15) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_0_7_7, all_11_0_14, all_0_1_1 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_0_0_0, addition(all_0_7_7, all_11_0_14) = all_0_2_2, yields:
% 24.41/7.40 | (119) ? [v0] : (addition(all_11_0_14, all_0_1_1) = v0 & addition(all_0_7_7, v0) = all_0_0_0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_2_2, all_0_7_7, all_0_10_10, all_0_8_8, all_11_0_14 and discharging atoms addition(all_0_7_7, all_11_0_14) = all_0_2_2, addition(all_0_10_10, all_0_8_8) = all_0_7_7, yields:
% 24.41/7.40 | (120) ? [v0] : (addition(all_0_8_8, all_11_0_14) = v0 & addition(all_0_10_10, v0) = all_0_2_2)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (52) with all_0_0_0, all_0_2_2, all_0_1_1, all_0_7_7, all_11_0_14 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_0_0_0, addition(all_0_7_7, all_11_0_14) = all_0_2_2, yields:
% 24.41/7.40 | (121) ? [v0] : (addition(v0, all_11_0_14) = all_0_0_0 & addition(all_0_1_1, all_0_7_7) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (54) with all_9_0_13, all_0_8_8, all_0_6_6 and discharging atoms addition(all_0_8_8, all_0_6_6) = all_9_0_13, yields:
% 24.41/7.40 | (122) addition(all_0_6_6, all_0_8_8) = all_9_0_13
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (42) with all_0_7_7, all_0_10_10, all_0_8_8, all_0_12_12, all_0_11_11, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_12_12) = all_0_8_8, multiplication(all_0_11_11, all_0_12_12) = all_0_10_10, addition(all_0_8_8, all_0_10_10) = all_0_7_7, yields:
% 24.41/7.40 | (123) ? [v0] : (multiplication(v0, all_0_12_12) = all_0_7_7 & addition(all_0_9_9, all_0_11_11) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_5_5, all_0_7_7, all_0_8_8, all_0_10_10, all_0_6_6 and discharging atoms addition(all_0_7_7, all_0_6_6) = all_0_5_5, addition(all_0_8_8, all_0_10_10) = all_0_7_7, yields:
% 24.41/7.40 | (124) ? [v0] : (addition(all_0_8_8, v0) = all_0_5_5 & addition(all_0_10_10, all_0_6_6) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (52) with all_0_5_5, all_0_7_7, all_0_6_6, all_0_8_8, all_0_10_10 and discharging atoms addition(all_0_6_6, all_0_7_7) = all_0_5_5, addition(all_0_8_8, all_0_10_10) = all_0_7_7, yields:
% 24.41/7.40 | (125) ? [v0] : (addition(v0, all_0_10_10) = all_0_5_5 & addition(all_0_6_6, all_0_8_8) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_2_2, all_0_7_7, all_0_8_8, all_0_10_10, all_11_0_14 and discharging atoms addition(all_0_7_7, all_11_0_14) = all_0_2_2, addition(all_0_8_8, all_0_10_10) = all_0_7_7, yields:
% 24.41/7.40 | (126) ? [v0] : (addition(all_0_8_8, v0) = all_0_2_2 & addition(all_0_10_10, all_11_0_14) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (54) with all_21_2_23, all_0_9_9, all_0_4_4 and discharging atoms addition(all_0_9_9, all_0_4_4) = all_21_2_23, yields:
% 24.41/7.40 | (127) addition(all_0_4_4, all_0_9_9) = all_21_2_23
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_2_2, all_0_5_5, all_0_10_10, all_9_0_13, all_0_3_3 and discharging atoms addition(all_0_5_5, all_0_3_3) = all_0_2_2, addition(all_0_10_10, all_9_0_13) = all_0_5_5, yields:
% 24.41/7.40 | (128) ? [v0] : (addition(all_9_0_13, all_0_3_3) = v0 & addition(all_0_10_10, v0) = all_0_2_2)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (52) with all_0_2_2, all_0_5_5, all_0_3_3, all_0_10_10, all_9_0_13 and discharging atoms addition(all_0_3_3, all_0_5_5) = all_0_2_2, addition(all_0_10_10, all_9_0_13) = all_0_5_5, yields:
% 24.41/7.40 | (129) ? [v0] : (addition(v0, all_9_0_13) = all_0_2_2 & addition(all_0_3_3, all_0_10_10) = v0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (48) with all_0_0_0, all_0_5_5, all_0_10_10, all_9_0_13, all_13_0_15 and discharging atoms addition(all_0_5_5, all_13_0_15) = all_0_0_0, addition(all_0_10_10, all_9_0_13) = all_0_5_5, yields:
% 24.41/7.40 | (130) ? [v0] : (addition(all_9_0_13, all_13_0_15) = v0 & addition(all_0_10_10, v0) = all_0_0_0)
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (54) with all_23_0_24, all_0_11_11, all_0_9_9 and discharging atoms addition(all_0_11_11, all_0_9_9) = all_23_0_24, yields:
% 24.41/7.40 | (131) addition(all_0_9_9, all_0_11_11) = all_23_0_24
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (54) with all_25_0_25, all_0_12_12, all_0_11_11 and discharging atoms addition(all_0_12_12, all_0_11_11) = all_25_0_25, yields:
% 24.41/7.40 | (132) addition(all_0_11_11, all_0_12_12) = all_25_0_25
% 24.41/7.40 |
% 24.41/7.40 | Instantiating formula (2) with all_0_11_11, all_0_9_9 and discharging atoms complement(all_0_11_11, all_0_9_9), yields:
% 24.41/7.40 | (133) test(all_0_9_9)
% 24.41/7.41 |
% 24.41/7.41 | Instantiating formula (2) with all_0_12_12, all_0_4_4 and discharging atoms complement(all_0_12_12, all_0_4_4), yields:
% 24.41/7.41 | (134) test(all_0_4_4)
% 24.41/7.41 |
% 24.41/7.41 | Instantiating (125) with all_37_0_26 yields:
% 24.41/7.41 | (135) addition(all_37_0_26, all_0_10_10) = all_0_5_5 & addition(all_0_6_6, all_0_8_8) = all_37_0_26
% 24.41/7.41 |
% 24.41/7.41 | Applying alpha-rule on (135) yields:
% 24.41/7.41 | (136) addition(all_37_0_26, all_0_10_10) = all_0_5_5
% 24.41/7.41 | (137) addition(all_0_6_6, all_0_8_8) = all_37_0_26
% 24.41/7.41 |
% 24.41/7.41 | Instantiating (116) with all_39_0_27 yields:
% 24.41/7.41 | (138) addition(all_39_0_27, all_0_8_8) = all_0_5_5 & addition(all_0_6_6, all_0_10_10) = all_39_0_27
% 24.41/7.41 |
% 24.41/7.41 | Applying alpha-rule on (138) yields:
% 24.41/7.41 | (139) addition(all_39_0_27, all_0_8_8) = all_0_5_5
% 24.41/7.41 | (140) addition(all_0_6_6, all_0_10_10) = all_39_0_27
% 24.41/7.41 |
% 24.41/7.41 | Instantiating (115) with all_41_0_28 yields:
% 24.41/7.41 | (141) addition(all_0_6_6, all_41_0_28) = all_0_2_2 & addition(all_0_7_7, all_0_3_3) = all_41_0_28
% 24.41/7.41 |
% 24.41/7.41 | Applying alpha-rule on (141) yields:
% 24.41/7.41 | (142) addition(all_0_6_6, all_41_0_28) = all_0_2_2
% 24.48/7.41 | (143) addition(all_0_7_7, all_0_3_3) = all_41_0_28
% 24.48/7.41 |
% 24.48/7.41 | Instantiating (113) with all_43_0_29 yields:
% 24.48/7.41 | (144) multiplication(all_43_0_29, all_0_11_11) = all_11_0_14 & addition(all_0_12_12, all_0_4_4) = all_43_0_29
% 24.48/7.41 |
% 24.48/7.41 | Applying alpha-rule on (144) yields:
% 24.48/7.41 | (145) multiplication(all_43_0_29, all_0_11_11) = all_11_0_14
% 24.48/7.41 | (146) addition(all_0_12_12, all_0_4_4) = all_43_0_29
% 24.48/7.41 |
% 24.48/7.41 | Instantiating (109) with all_45_0_30 yields:
% 24.48/7.41 | (147) addition(all_45_0_30, all_0_6_6) = all_0_2_2 & addition(all_0_3_3, all_0_7_7) = all_45_0_30
% 24.48/7.41 |
% 24.48/7.41 | Applying alpha-rule on (147) yields:
% 24.48/7.41 | (148) addition(all_45_0_30, all_0_6_6) = all_0_2_2
% 24.48/7.41 | (149) addition(all_0_3_3, all_0_7_7) = all_45_0_30
% 24.48/7.41 |
% 24.48/7.41 | Instantiating (108) with all_47_0_31 yields:
% 24.48/7.41 | (150) addition(all_0_3_3, all_47_0_31) = all_0_0_0 & addition(all_0_5_5, all_0_1_1) = all_47_0_31
% 24.48/7.41 |
% 24.48/7.41 | Applying alpha-rule on (150) yields:
% 24.48/7.41 | (151) addition(all_0_3_3, all_47_0_31) = all_0_0_0
% 24.48/7.41 | (152) addition(all_0_5_5, all_0_1_1) = all_47_0_31
% 24.48/7.41 |
% 24.48/7.41 | Instantiating (112) with all_49_0_32 yields:
% 24.48/7.41 | (153) addition(all_0_6_6, all_13_0_15) = all_49_0_32 & addition(all_0_7_7, all_49_0_32) = all_0_0_0
% 24.48/7.41 |
% 24.48/7.41 | Applying alpha-rule on (153) yields:
% 24.48/7.41 | (154) addition(all_0_6_6, all_13_0_15) = all_49_0_32
% 24.48/7.41 | (155) addition(all_0_7_7, all_49_0_32) = all_0_0_0
% 24.48/7.41 |
% 24.48/7.41 | Instantiating (124) with all_51_0_33 yields:
% 24.48/7.41 | (156) addition(all_0_8_8, all_51_0_33) = all_0_5_5 & addition(all_0_10_10, all_0_6_6) = all_51_0_33
% 24.48/7.41 |
% 24.48/7.41 | Applying alpha-rule on (156) yields:
% 24.48/7.41 | (157) addition(all_0_8_8, all_51_0_33) = all_0_5_5
% 24.48/7.41 | (158) addition(all_0_10_10, all_0_6_6) = all_51_0_33
% 24.48/7.41 |
% 24.48/7.41 | Instantiating (110) with all_53_0_34 yields:
% 24.48/7.41 | (159) addition(all_53_0_34, all_0_5_5) = all_0_0_0 & addition(all_0_1_1, all_0_3_3) = all_53_0_34
% 24.48/7.41 |
% 24.48/7.41 | Applying alpha-rule on (159) yields:
% 24.48/7.41 | (160) addition(all_53_0_34, all_0_5_5) = all_0_0_0
% 24.48/7.41 | (161) addition(all_0_1_1, all_0_3_3) = all_53_0_34
% 24.48/7.41 |
% 24.48/7.41 | Instantiating (106) with all_55_0_35 yields:
% 24.48/7.41 | (162) multiplication(all_0_4_4, all_55_0_35) = all_13_0_15 & addition(all_0_11_11, all_0_9_9) = all_55_0_35
% 24.48/7.41 |
% 24.48/7.41 | Applying alpha-rule on (162) yields:
% 24.48/7.41 | (163) multiplication(all_0_4_4, all_55_0_35) = all_13_0_15
% 24.50/7.41 | (164) addition(all_0_11_11, all_0_9_9) = all_55_0_35
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (105) with all_57_0_36 yields:
% 24.50/7.41 | (165) addition(all_57_0_36, all_0_3_3) = all_0_0_0 & addition(all_0_1_1, all_0_5_5) = all_57_0_36
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (165) yields:
% 24.50/7.41 | (166) addition(all_57_0_36, all_0_3_3) = all_0_0_0
% 24.50/7.41 | (167) addition(all_0_1_1, all_0_5_5) = all_57_0_36
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (123) with all_59_0_37 yields:
% 24.50/7.41 | (168) multiplication(all_59_0_37, all_0_12_12) = all_0_7_7 & addition(all_0_9_9, all_0_11_11) = all_59_0_37
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (168) yields:
% 24.50/7.41 | (169) multiplication(all_59_0_37, all_0_12_12) = all_0_7_7
% 24.50/7.41 | (170) addition(all_0_9_9, all_0_11_11) = all_59_0_37
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (120) with all_61_0_38 yields:
% 24.50/7.41 | (171) addition(all_0_8_8, all_11_0_14) = all_61_0_38 & addition(all_0_10_10, all_61_0_38) = all_0_2_2
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (171) yields:
% 24.50/7.41 | (172) addition(all_0_8_8, all_11_0_14) = all_61_0_38
% 24.50/7.41 | (173) addition(all_0_10_10, all_61_0_38) = all_0_2_2
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (118) with all_63_0_39 yields:
% 24.50/7.41 | (174) addition(all_0_6_6, all_63_0_39) = all_0_0_0 & addition(all_0_7_7, all_13_0_15) = all_63_0_39
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (174) yields:
% 24.50/7.41 | (175) addition(all_0_6_6, all_63_0_39) = all_0_0_0
% 24.50/7.41 | (176) addition(all_0_7_7, all_13_0_15) = all_63_0_39
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (121) with all_65_0_40 yields:
% 24.50/7.41 | (177) addition(all_65_0_40, all_11_0_14) = all_0_0_0 & addition(all_0_1_1, all_0_7_7) = all_65_0_40
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (177) yields:
% 24.50/7.41 | (178) addition(all_65_0_40, all_11_0_14) = all_0_0_0
% 24.50/7.41 | (179) addition(all_0_1_1, all_0_7_7) = all_65_0_40
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (130) with all_67_0_41 yields:
% 24.50/7.41 | (180) addition(all_9_0_13, all_13_0_15) = all_67_0_41 & addition(all_0_10_10, all_67_0_41) = all_0_0_0
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (180) yields:
% 24.50/7.41 | (181) addition(all_9_0_13, all_13_0_15) = all_67_0_41
% 24.50/7.41 | (182) addition(all_0_10_10, all_67_0_41) = all_0_0_0
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (126) with all_69_0_42 yields:
% 24.50/7.41 | (183) addition(all_0_8_8, all_69_0_42) = all_0_2_2 & addition(all_0_10_10, all_11_0_14) = all_69_0_42
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (183) yields:
% 24.50/7.41 | (184) addition(all_0_8_8, all_69_0_42) = all_0_2_2
% 24.50/7.41 | (185) addition(all_0_10_10, all_11_0_14) = all_69_0_42
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (117) with all_71_0_43 yields:
% 24.50/7.41 | (186) addition(all_71_0_43, all_0_7_7) = all_0_2_2 & addition(all_0_3_3, all_0_6_6) = all_71_0_43
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (186) yields:
% 24.50/7.41 | (187) addition(all_71_0_43, all_0_7_7) = all_0_2_2
% 24.50/7.41 | (188) addition(all_0_3_3, all_0_6_6) = all_71_0_43
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (119) with all_73_0_44 yields:
% 24.50/7.41 | (189) addition(all_11_0_14, all_0_1_1) = all_73_0_44 & addition(all_0_7_7, all_73_0_44) = all_0_0_0
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (189) yields:
% 24.50/7.41 | (190) addition(all_11_0_14, all_0_1_1) = all_73_0_44
% 24.50/7.41 | (191) addition(all_0_7_7, all_73_0_44) = all_0_0_0
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (129) with all_75_0_45 yields:
% 24.50/7.41 | (192) addition(all_75_0_45, all_9_0_13) = all_0_2_2 & addition(all_0_3_3, all_0_10_10) = all_75_0_45
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (192) yields:
% 24.50/7.41 | (193) addition(all_75_0_45, all_9_0_13) = all_0_2_2
% 24.50/7.41 | (194) addition(all_0_3_3, all_0_10_10) = all_75_0_45
% 24.50/7.41 |
% 24.50/7.41 | Instantiating (128) with all_77_0_46 yields:
% 24.50/7.41 | (195) addition(all_9_0_13, all_0_3_3) = all_77_0_46 & addition(all_0_10_10, all_77_0_46) = all_0_2_2
% 24.50/7.41 |
% 24.50/7.41 | Applying alpha-rule on (195) yields:
% 24.50/7.41 | (196) addition(all_9_0_13, all_0_3_3) = all_77_0_46
% 24.50/7.41 | (197) addition(all_0_10_10, all_77_0_46) = all_0_2_2
% 24.50/7.41 |
% 24.50/7.41 | Instantiating formula (19) with all_0_1_1, all_0_3_3, all_13_0_15, all_53_0_34 and discharging atoms addition(all_0_1_1, all_0_3_3) = all_53_0_34, addition(all_0_1_1, all_0_3_3) = all_13_0_15, yields:
% 24.50/7.42 | (198) all_53_0_34 = all_13_0_15
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (19) with all_0_3_3, all_0_6_6, all_11_0_14, all_71_0_43 and discharging atoms addition(all_0_3_3, all_0_6_6) = all_71_0_43, addition(all_0_3_3, all_0_6_6) = all_11_0_14, yields:
% 24.50/7.42 | (199) all_71_0_43 = all_11_0_14
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (19) with all_0_6_6, all_0_8_8, all_9_0_13, all_37_0_26 and discharging atoms addition(all_0_6_6, all_0_8_8) = all_37_0_26, addition(all_0_6_6, all_0_8_8) = all_9_0_13, yields:
% 24.50/7.42 | (200) all_37_0_26 = all_9_0_13
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (19) with all_0_9_9, all_0_4_4, all_19_2_20, all_21_2_23 and discharging atoms addition(all_0_9_9, all_0_4_4) = all_21_2_23, addition(all_0_9_9, all_0_4_4) = all_19_2_20, yields:
% 24.50/7.42 | (201) all_21_2_23 = all_19_2_20
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (33) with all_59_0_37, all_0_11_11, all_0_9_9 and discharging atoms addition(all_0_9_9, all_0_11_11) = all_59_0_37, complement(all_0_11_11, all_0_9_9), yields:
% 24.50/7.42 | (202) all_59_0_37 = one
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (19) with all_0_9_9, all_0_11_11, all_23_0_24, all_59_0_37 and discharging atoms addition(all_0_9_9, all_0_11_11) = all_59_0_37, addition(all_0_9_9, all_0_11_11) = all_23_0_24, yields:
% 24.50/7.42 | (203) all_59_0_37 = all_23_0_24
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (19) with all_0_11_11, all_0_9_9, all_55_0_35, all_23_0_24 and discharging atoms addition(all_0_11_11, all_0_9_9) = all_55_0_35, addition(all_0_11_11, all_0_9_9) = all_23_0_24, yields:
% 24.50/7.42 | (204) all_55_0_35 = all_23_0_24
% 24.50/7.42 |
% 24.50/7.42 | Combining equations (203,202) yields a new equation:
% 24.50/7.42 | (205) all_23_0_24 = one
% 24.50/7.42 |
% 24.50/7.42 | Simplifying 205 yields:
% 24.50/7.42 | (206) all_23_0_24 = one
% 24.50/7.42 |
% 24.50/7.42 | Combining equations (206,204) yields a new equation:
% 24.50/7.42 | (207) all_55_0_35 = one
% 24.50/7.42 |
% 24.50/7.42 | From (206) and (88) follows:
% 24.50/7.42 | (208) multiplication(one, all_0_12_12) = all_0_7_7
% 24.50/7.42 |
% 24.50/7.42 | From (207) and (163) follows:
% 24.50/7.42 | (209) multiplication(all_0_4_4, one) = all_13_0_15
% 24.50/7.42 |
% 24.50/7.42 | From (199) and (187) follows:
% 24.50/7.42 | (210) addition(all_11_0_14, all_0_7_7) = all_0_2_2
% 24.50/7.42 |
% 24.50/7.42 | From (198) and (160) follows:
% 24.50/7.42 | (211) addition(all_13_0_15, all_0_5_5) = all_0_0_0
% 24.50/7.42 |
% 24.50/7.42 | From (200) and (136) follows:
% 24.50/7.42 | (212) addition(all_9_0_13, all_0_10_10) = all_0_5_5
% 24.50/7.42 |
% 24.50/7.42 | From (198) and (161) follows:
% 24.50/7.42 | (107) addition(all_0_1_1, all_0_3_3) = all_13_0_15
% 24.50/7.42 |
% 24.50/7.42 | From (199) and (188) follows:
% 24.50/7.42 | (114) addition(all_0_3_3, all_0_6_6) = all_11_0_14
% 24.50/7.42 |
% 24.50/7.42 | From (201) and (127) follows:
% 24.50/7.42 | (104) addition(all_0_4_4, all_0_9_9) = all_19_2_20
% 24.50/7.42 |
% 24.50/7.42 | From (200) and (137) follows:
% 24.50/7.42 | (122) addition(all_0_6_6, all_0_8_8) = all_9_0_13
% 24.50/7.42 |
% 24.50/7.42 | From (201) and (103) follows:
% 24.50/7.42 | (111) addition(all_0_9_9, all_0_4_4) = all_19_2_20
% 24.50/7.42 |
% 24.50/7.42 | From (206) and (131) follows:
% 24.50/7.42 | (218) addition(all_0_9_9, all_0_11_11) = one
% 24.50/7.42 |
% 24.50/7.42 | From (206) and (89) follows:
% 24.50/7.42 | (219) addition(all_0_11_11, all_0_9_9) = one
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (18) with all_13_0_15, all_0_4_4 and discharging atoms multiplication(all_0_4_4, one) = all_13_0_15, yields:
% 24.50/7.42 | (220) all_13_0_15 = all_0_4_4
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (38) with all_0_7_7, all_0_12_12 and discharging atoms multiplication(one, all_0_12_12) = all_0_7_7, yields:
% 24.50/7.42 | (221) all_0_7_7 = all_0_12_12
% 24.50/7.42 |
% 24.50/7.42 | From (220) and (209) follows:
% 24.50/7.42 | (222) multiplication(all_0_4_4, one) = all_0_4_4
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (208) follows:
% 24.50/7.42 | (223) multiplication(one, all_0_12_12) = all_0_12_12
% 24.50/7.42 |
% 24.50/7.42 | From (220) and (211) follows:
% 24.50/7.42 | (224) addition(all_0_4_4, all_0_5_5) = all_0_0_0
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (210) follows:
% 24.50/7.42 | (225) addition(all_11_0_14, all_0_12_12) = all_0_2_2
% 24.50/7.42 |
% 24.50/7.42 | From (220) and (181) follows:
% 24.50/7.42 | (226) addition(all_9_0_13, all_0_4_4) = all_67_0_41
% 24.50/7.42 |
% 24.50/7.42 | From (220) and (107) follows:
% 24.50/7.42 | (227) addition(all_0_1_1, all_0_3_3) = all_0_4_4
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (179) follows:
% 24.50/7.42 | (228) addition(all_0_1_1, all_0_12_12) = all_65_0_40
% 24.50/7.42 |
% 24.50/7.42 | From (220) and (75) follows:
% 24.50/7.42 | (229) addition(all_0_3_3, all_0_1_1) = all_0_4_4
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (149) follows:
% 24.50/7.42 | (230) addition(all_0_3_3, all_0_12_12) = all_45_0_30
% 24.50/7.42 |
% 24.50/7.42 | From (220) and (76) follows:
% 24.50/7.42 | (231) addition(all_0_5_5, all_0_4_4) = all_0_0_0
% 24.50/7.42 |
% 24.50/7.42 | From (220) and (154) follows:
% 24.50/7.42 | (232) addition(all_0_6_6, all_0_4_4) = all_49_0_32
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (59) follows:
% 24.50/7.42 | (233) addition(all_0_6_6, all_0_12_12) = all_0_5_5
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (191) follows:
% 24.50/7.42 | (234) addition(all_0_12_12, all_73_0_44) = all_0_0_0
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (155) follows:
% 24.50/7.42 | (235) addition(all_0_12_12, all_49_0_32) = all_0_0_0
% 24.50/7.42 |
% 24.50/7.42 | From (221)(220) and (176) follows:
% 24.50/7.42 | (236) addition(all_0_12_12, all_0_4_4) = all_63_0_39
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (73) follows:
% 24.50/7.42 | (237) addition(all_0_12_12, all_11_0_14) = all_0_2_2
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (143) follows:
% 24.50/7.42 | (238) addition(all_0_12_12, all_0_3_3) = all_41_0_28
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (13) follows:
% 24.50/7.42 | (239) addition(all_0_12_12, all_0_6_6) = all_0_5_5
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (62) follows:
% 24.50/7.42 | (240) addition(all_0_8_8, all_0_10_10) = all_0_12_12
% 24.50/7.42 |
% 24.50/7.42 | From (221) and (20) follows:
% 24.50/7.42 | (241) addition(all_0_10_10, all_0_8_8) = all_0_12_12
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (19) with all_0_12_12, all_0_4_4, all_63_0_39, all_43_0_29 and discharging atoms addition(all_0_12_12, all_0_4_4) = all_63_0_39, addition(all_0_12_12, all_0_4_4) = all_43_0_29, yields:
% 24.50/7.42 | (242) all_63_0_39 = all_43_0_29
% 24.50/7.42 |
% 24.50/7.42 | From (242) and (236) follows:
% 24.50/7.42 | (146) addition(all_0_12_12, all_0_4_4) = all_43_0_29
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (3) with all_0_1_1, all_0_4_4, all_0_9_9, one, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_9_9) = all_0_1_1, multiplication(all_0_4_4, one) = all_0_4_4, yields:
% 24.50/7.42 | (244) ? [v0] : (multiplication(all_0_4_4, v0) = all_0_1_1 & multiplication(one, all_0_9_9) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (3) with all_0_3_3, all_0_4_4, all_0_11_11, one, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_11_11) = all_0_3_3, multiplication(all_0_4_4, one) = all_0_4_4, yields:
% 24.50/7.42 | (245) ? [v0] : (multiplication(all_0_4_4, v0) = all_0_3_3 & multiplication(one, all_0_11_11) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (34) with all_0_8_8, all_0_12_12, all_0_12_12, one, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_12_12) = all_0_8_8, multiplication(one, all_0_12_12) = all_0_12_12, yields:
% 24.50/7.42 | (246) ? [v0] : (multiplication(v0, all_0_12_12) = all_0_8_8 & multiplication(all_0_9_9, one) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (34) with all_0_10_10, all_0_12_12, all_0_12_12, one, all_0_11_11 and discharging atoms multiplication(all_0_11_11, all_0_12_12) = all_0_10_10, multiplication(one, all_0_12_12) = all_0_12_12, yields:
% 24.50/7.42 | (247) ? [v0] : (multiplication(v0, all_0_12_12) = all_0_10_10 & multiplication(all_0_11_11, one) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (3) with all_0_6_6, all_0_12_12, all_0_11_11, all_0_12_12, one and discharging atoms multiplication(all_0_12_12, all_0_11_11) = all_0_6_6, multiplication(one, all_0_12_12) = all_0_12_12, yields:
% 24.50/7.42 | (248) ? [v0] : (multiplication(all_0_12_12, all_0_11_11) = v0 & multiplication(one, v0) = all_0_6_6)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_75_0_45, all_9_0_13, all_0_1_1 and discharging atoms addition(all_75_0_45, all_9_0_13) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 24.50/7.42 | (249) ? [v0] : (addition(all_75_0_45, v0) = all_0_0_0 & addition(all_9_0_13, all_0_1_1) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (52) with all_0_2_2, all_9_0_13, all_75_0_45, all_0_8_8, all_0_6_6 and discharging atoms addition(all_75_0_45, all_9_0_13) = all_0_2_2, addition(all_0_8_8, all_0_6_6) = all_9_0_13, yields:
% 24.50/7.42 | (250) ? [v0] : (addition(v0, all_0_6_6) = all_0_2_2 & addition(all_75_0_45, all_0_8_8) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (52) with all_0_0_0, all_11_0_14, all_65_0_40, all_0_6_6, all_0_3_3 and discharging atoms addition(all_65_0_40, all_11_0_14) = all_0_0_0, addition(all_0_6_6, all_0_3_3) = all_11_0_14, yields:
% 24.50/7.42 | (251) ? [v0] : (addition(v0, all_0_3_3) = all_0_0_0 & addition(all_65_0_40, all_0_6_6) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (54) with all_0_0_0, all_57_0_36, all_0_3_3 and discharging atoms addition(all_57_0_36, all_0_3_3) = all_0_0_0, yields:
% 24.50/7.42 | (252) addition(all_0_3_3, all_57_0_36) = all_0_0_0
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (52) with all_0_2_2, all_0_5_5, all_0_3_3, all_39_0_27, all_0_8_8 and discharging atoms addition(all_39_0_27, all_0_8_8) = all_0_5_5, addition(all_0_3_3, all_0_5_5) = all_0_2_2, yields:
% 24.50/7.42 | (253) ? [v0] : (addition(v0, all_0_8_8) = all_0_2_2 & addition(all_0_3_3, all_39_0_27) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (48) with all_0_2_2, all_0_5_5, all_39_0_27, all_0_8_8, all_0_3_3 and discharging atoms addition(all_39_0_27, all_0_8_8) = all_0_5_5, addition(all_0_5_5, all_0_3_3) = all_0_2_2, yields:
% 24.50/7.42 | (254) ? [v0] : (addition(all_39_0_27, v0) = all_0_2_2 & addition(all_0_8_8, all_0_3_3) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (48) with all_73_0_44, all_11_0_14, all_0_6_6, all_0_3_3, all_0_1_1 and discharging atoms addition(all_11_0_14, all_0_1_1) = all_73_0_44, addition(all_0_6_6, all_0_3_3) = all_11_0_14, yields:
% 24.50/7.42 | (255) ? [v0] : (addition(all_0_3_3, all_0_1_1) = v0 & addition(all_0_6_6, v0) = all_73_0_44)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (54) with all_73_0_44, all_11_0_14, all_0_1_1 and discharging atoms addition(all_11_0_14, all_0_1_1) = all_73_0_44, yields:
% 24.50/7.42 | (256) addition(all_0_1_1, all_11_0_14) = all_73_0_44
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (52) with all_0_0_0, all_0_2_2, all_0_1_1, all_11_0_14, all_0_12_12 and discharging atoms addition(all_11_0_14, all_0_12_12) = all_0_2_2, addition(all_0_1_1, all_0_2_2) = all_0_0_0, yields:
% 24.50/7.42 | (257) ? [v0] : (addition(v0, all_0_12_12) = all_0_0_0 & addition(all_0_1_1, all_11_0_14) = v0)
% 24.50/7.42 |
% 24.50/7.42 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_11_0_14, all_0_12_12, all_0_1_1 and discharging atoms addition(all_11_0_14, all_0_12_12) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 24.50/7.42 | (258) ? [v0] : (addition(all_11_0_14, v0) = all_0_0_0 & addition(all_0_12_12, all_0_1_1) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_0_2_2, all_11_0_14, all_0_6_6, all_0_3_3, all_0_12_12 and discharging atoms addition(all_11_0_14, all_0_12_12) = all_0_2_2, addition(all_0_6_6, all_0_3_3) = all_11_0_14, yields:
% 24.50/7.43 | (259) ? [v0] : (addition(all_0_3_3, all_0_12_12) = v0 & addition(all_0_6_6, v0) = all_0_2_2)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_77_0_46, all_9_0_13, all_0_8_8, all_0_6_6, all_0_3_3 and discharging atoms addition(all_9_0_13, all_0_3_3) = all_77_0_46, addition(all_0_8_8, all_0_6_6) = all_9_0_13, yields:
% 24.50/7.43 | (260) ? [v0] : (addition(all_0_6_6, all_0_3_3) = v0 & addition(all_0_8_8, v0) = all_77_0_46)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (54) with all_77_0_46, all_9_0_13, all_0_3_3 and discharging atoms addition(all_9_0_13, all_0_3_3) = all_77_0_46, yields:
% 24.50/7.43 | (261) addition(all_0_3_3, all_9_0_13) = all_77_0_46
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_67_0_41, all_9_0_13, all_0_8_8, all_0_6_6, all_0_4_4 and discharging atoms addition(all_9_0_13, all_0_4_4) = all_67_0_41, addition(all_0_8_8, all_0_6_6) = all_9_0_13, yields:
% 24.50/7.43 | (262) ? [v0] : (addition(all_0_6_6, all_0_4_4) = v0 & addition(all_0_8_8, v0) = all_67_0_41)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_0_2_2, all_0_5_5, all_0_3_3, all_9_0_13, all_0_10_10 and discharging atoms addition(all_9_0_13, all_0_10_10) = all_0_5_5, addition(all_0_3_3, all_0_5_5) = all_0_2_2, yields:
% 24.50/7.43 | (263) ? [v0] : (addition(v0, all_0_10_10) = all_0_2_2 & addition(all_0_3_3, all_9_0_13) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_0_2_2, all_0_5_5, all_9_0_13, all_0_10_10, all_0_3_3 and discharging atoms addition(all_9_0_13, all_0_10_10) = all_0_5_5, addition(all_0_5_5, all_0_3_3) = all_0_2_2, yields:
% 24.50/7.43 | (264) ? [v0] : (addition(all_9_0_13, v0) = all_0_2_2 & addition(all_0_10_10, all_0_3_3) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_0_5_5, all_9_0_13, all_0_8_8, all_0_6_6, all_0_10_10 and discharging atoms addition(all_9_0_13, all_0_10_10) = all_0_5_5, addition(all_0_8_8, all_0_6_6) = all_9_0_13, yields:
% 24.50/7.43 | (265) ? [v0] : (addition(all_0_6_6, all_0_10_10) = v0 & addition(all_0_8_8, v0) = all_0_5_5)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (14) with all_0_1_1, all_0_4_4, all_0_9_9, all_0_3_3, all_0_1_1 and discharging atoms multiplication(all_0_4_4, all_0_9_9) = all_0_1_1, addition(all_0_1_1, all_0_3_3) = all_0_4_4, yields:
% 24.50/7.43 | (266) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_9_9) = v0 & multiplication(all_0_3_3, all_0_9_9) = v1 & addition(v0, v1) = all_0_1_1)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (14) with all_0_3_3, all_0_4_4, all_0_11_11, all_0_3_3, all_0_1_1 and discharging atoms multiplication(all_0_4_4, all_0_11_11) = all_0_3_3, addition(all_0_1_1, all_0_3_3) = all_0_4_4, yields:
% 24.50/7.43 | (267) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_11_11) = v0 & multiplication(all_0_3_3, all_0_11_11) = v1 & addition(v0, v1) = all_0_3_3)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (14) with all_0_4_4, all_0_4_4, one, all_0_3_3, all_0_1_1 and discharging atoms multiplication(all_0_4_4, one) = all_0_4_4, addition(all_0_1_1, all_0_3_3) = all_0_4_4, yields:
% 24.50/7.43 | (268) ? [v0] : ? [v1] : (multiplication(all_0_1_1, one) = v0 & multiplication(all_0_3_3, one) = v1 & addition(v0, v1) = all_0_4_4)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_67_0_41, all_0_4_4, all_9_0_13, all_0_1_1, all_0_3_3 and discharging atoms addition(all_9_0_13, all_0_4_4) = all_67_0_41, addition(all_0_1_1, all_0_3_3) = all_0_4_4, yields:
% 24.50/7.43 | (269) ? [v0] : (addition(v0, all_0_3_3) = all_67_0_41 & addition(all_9_0_13, all_0_1_1) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_57_0_36, all_0_5_5, all_0_1_1, all_0_10_10, all_9_0_13 and discharging atoms addition(all_0_1_1, all_0_5_5) = all_57_0_36, addition(all_0_10_10, all_9_0_13) = all_0_5_5, yields:
% 24.50/7.43 | (270) ? [v0] : (addition(v0, all_9_0_13) = all_57_0_36 & addition(all_0_1_1, all_0_10_10) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (54) with all_57_0_36, all_0_1_1, all_0_5_5 and discharging atoms addition(all_0_1_1, all_0_5_5) = all_57_0_36, yields:
% 24.50/7.43 | (271) addition(all_0_5_5, all_0_1_1) = all_57_0_36
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (54) with all_65_0_40, all_0_1_1, all_0_12_12 and discharging atoms addition(all_0_1_1, all_0_12_12) = all_65_0_40, yields:
% 24.50/7.43 | (272) addition(all_0_12_12, all_0_1_1) = all_65_0_40
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (14) with all_0_1_1, all_0_4_4, all_0_9_9, all_0_1_1, all_0_3_3 and discharging atoms multiplication(all_0_4_4, all_0_9_9) = all_0_1_1, addition(all_0_3_3, all_0_1_1) = all_0_4_4, yields:
% 24.50/7.43 | (273) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_9_9) = v1 & multiplication(all_0_3_3, all_0_9_9) = v0 & addition(v0, v1) = all_0_1_1)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (14) with all_0_3_3, all_0_4_4, all_0_11_11, all_0_1_1, all_0_3_3 and discharging atoms multiplication(all_0_4_4, all_0_11_11) = all_0_3_3, addition(all_0_3_3, all_0_1_1) = all_0_4_4, yields:
% 24.50/7.43 | (274) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_11_11) = v1 & multiplication(all_0_3_3, all_0_11_11) = v0 & addition(v0, v1) = all_0_3_3)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (14) with all_0_4_4, all_0_4_4, one, all_0_1_1, all_0_3_3 and discharging atoms multiplication(all_0_4_4, one) = all_0_4_4, addition(all_0_3_3, all_0_1_1) = all_0_4_4, yields:
% 24.50/7.43 | (275) ? [v0] : ? [v1] : (multiplication(all_0_1_1, one) = v1 & multiplication(all_0_3_3, one) = v0 & addition(v0, v1) = all_0_4_4)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_67_0_41, all_0_4_4, all_9_0_13, all_0_3_3, all_0_1_1 and discharging atoms addition(all_9_0_13, all_0_4_4) = all_67_0_41, addition(all_0_3_3, all_0_1_1) = all_0_4_4, yields:
% 24.50/7.43 | (276) ? [v0] : (addition(v0, all_0_1_1) = all_67_0_41 & addition(all_9_0_13, all_0_3_3) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (42) with all_11_0_14, all_0_6_6, all_0_3_3, all_0_11_11, all_0_12_12, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_11_11) = all_0_3_3, multiplication(all_0_12_12, all_0_11_11) = all_0_6_6, addition(all_0_3_3, all_0_6_6) = all_11_0_14, yields:
% 24.50/7.43 | (277) ? [v0] : (multiplication(v0, all_0_11_11) = all_11_0_14 & addition(all_0_4_4, all_0_12_12) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_0_0_0, all_11_0_14, all_65_0_40, all_0_3_3, all_0_6_6 and discharging atoms addition(all_65_0_40, all_11_0_14) = all_0_0_0, addition(all_0_3_3, all_0_6_6) = all_11_0_14, yields:
% 24.50/7.43 | (278) ? [v0] : (addition(v0, all_0_6_6) = all_0_0_0 & addition(all_65_0_40, all_0_3_3) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (54) with all_75_0_45, all_0_3_3, all_0_10_10 and discharging atoms addition(all_0_3_3, all_0_10_10) = all_75_0_45, yields:
% 24.50/7.43 | (279) addition(all_0_10_10, all_0_3_3) = all_75_0_45
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (54) with all_45_0_30, all_0_3_3, all_0_12_12 and discharging atoms addition(all_0_3_3, all_0_12_12) = all_45_0_30, yields:
% 24.50/7.43 | (280) addition(all_0_12_12, all_0_3_3) = all_45_0_30
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_47_0_31, all_0_5_5, all_0_10_10, all_9_0_13, all_0_1_1 and discharging atoms addition(all_0_5_5, all_0_1_1) = all_47_0_31, addition(all_0_10_10, all_9_0_13) = all_0_5_5, yields:
% 24.50/7.43 | (281) ? [v0] : (addition(all_9_0_13, all_0_1_1) = v0 & addition(all_0_10_10, v0) = all_47_0_31)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_47_0_31, all_0_5_5, all_39_0_27, all_0_8_8, all_0_1_1 and discharging atoms addition(all_39_0_27, all_0_8_8) = all_0_5_5, addition(all_0_5_5, all_0_1_1) = all_47_0_31, yields:
% 24.50/7.43 | (282) ? [v0] : (addition(all_39_0_27, v0) = all_47_0_31 & addition(all_0_8_8, all_0_1_1) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_0_0_0, all_0_5_5, all_39_0_27, all_0_8_8, all_0_4_4 and discharging atoms addition(all_39_0_27, all_0_8_8) = all_0_5_5, addition(all_0_5_5, all_0_4_4) = all_0_0_0, yields:
% 24.50/7.43 | (283) ? [v0] : (addition(all_39_0_27, v0) = all_0_0_0 & addition(all_0_8_8, all_0_4_4) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_0_0_0, all_0_4_4, all_0_5_5, all_0_1_1, all_0_3_3 and discharging atoms addition(all_0_1_1, all_0_3_3) = all_0_4_4, addition(all_0_5_5, all_0_4_4) = all_0_0_0, yields:
% 24.50/7.43 | (284) ? [v0] : (addition(v0, all_0_3_3) = all_0_0_0 & addition(all_0_5_5, all_0_1_1) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_0_6_6, all_41_0_28, all_0_1_1 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_0_0_0, addition(all_0_6_6, all_41_0_28) = all_0_2_2, yields:
% 24.50/7.43 | (285) ? [v0] : (addition(all_41_0_28, all_0_1_1) = v0 & addition(all_0_6_6, v0) = all_0_0_0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_49_0_32, all_0_4_4, all_0_6_6, all_0_3_3, all_0_1_1 and discharging atoms addition(all_0_3_3, all_0_1_1) = all_0_4_4, addition(all_0_6_6, all_0_4_4) = all_49_0_32, yields:
% 24.50/7.43 | (286) ? [v0] : (addition(v0, all_0_1_1) = all_49_0_32 & addition(all_0_6_6, all_0_3_3) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_0_2_2, all_9_0_13, all_75_0_45, all_0_6_6, all_0_8_8 and discharging atoms addition(all_75_0_45, all_9_0_13) = all_0_2_2, addition(all_0_6_6, all_0_8_8) = all_9_0_13, yields:
% 24.50/7.43 | (287) ? [v0] : (addition(v0, all_0_8_8) = all_0_2_2 & addition(all_75_0_45, all_0_6_6) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_77_0_46, all_9_0_13, all_0_6_6, all_0_8_8, all_0_3_3 and discharging atoms addition(all_9_0_13, all_0_3_3) = all_77_0_46, addition(all_0_6_6, all_0_8_8) = all_9_0_13, yields:
% 24.50/7.43 | (288) ? [v0] : (addition(all_0_6_6, v0) = all_77_0_46 & addition(all_0_8_8, all_0_3_3) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_67_0_41, all_9_0_13, all_0_6_6, all_0_8_8, all_0_4_4 and discharging atoms addition(all_9_0_13, all_0_4_4) = all_67_0_41, addition(all_0_6_6, all_0_8_8) = all_9_0_13, yields:
% 24.50/7.43 | (289) ? [v0] : (addition(all_0_6_6, v0) = all_67_0_41 & addition(all_0_8_8, all_0_4_4) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_47_0_31, all_0_5_5, all_0_6_6, all_0_12_12, all_0_1_1 and discharging atoms addition(all_0_5_5, all_0_1_1) = all_47_0_31, addition(all_0_6_6, all_0_12_12) = all_0_5_5, yields:
% 24.50/7.43 | (290) ? [v0] : (addition(all_0_6_6, v0) = all_47_0_31 & addition(all_0_12_12, all_0_1_1) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_0_0_0, all_0_2_2, all_0_1_1, all_0_8_8, all_69_0_42 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_0_0_0, addition(all_0_8_8, all_69_0_42) = all_0_2_2, yields:
% 24.50/7.43 | (291) ? [v0] : (addition(v0, all_69_0_42) = all_0_0_0 & addition(all_0_1_1, all_0_8_8) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_0_2_2, all_0_5_5, all_0_3_3, all_0_8_8, all_51_0_33 and discharging atoms addition(all_0_3_3, all_0_5_5) = all_0_2_2, addition(all_0_8_8, all_51_0_33) = all_0_5_5, yields:
% 24.50/7.43 | (292) ? [v0] : (addition(v0, all_51_0_33) = all_0_2_2 & addition(all_0_3_3, all_0_8_8) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_0_2_2, all_0_5_5, all_0_8_8, all_51_0_33, all_0_3_3 and discharging atoms addition(all_0_5_5, all_0_3_3) = all_0_2_2, addition(all_0_8_8, all_51_0_33) = all_0_5_5, yields:
% 24.50/7.43 | (293) ? [v0] : (addition(all_51_0_33, all_0_3_3) = v0 & addition(all_0_8_8, v0) = all_0_2_2)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_57_0_36, all_0_5_5, all_0_1_1, all_0_8_8, all_51_0_33 and discharging atoms addition(all_0_1_1, all_0_5_5) = all_57_0_36, addition(all_0_8_8, all_51_0_33) = all_0_5_5, yields:
% 24.50/7.43 | (294) ? [v0] : (addition(v0, all_51_0_33) = all_57_0_36 & addition(all_0_1_1, all_0_8_8) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_0_0_0, all_0_5_5, all_0_4_4, all_0_8_8, all_51_0_33 and discharging atoms addition(all_0_4_4, all_0_5_5) = all_0_0_0, addition(all_0_8_8, all_51_0_33) = all_0_5_5, yields:
% 24.50/7.43 | (295) ? [v0] : (addition(v0, all_51_0_33) = all_0_0_0 & addition(all_0_4_4, all_0_8_8) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (48) with all_47_0_31, all_0_5_5, all_0_8_8, all_51_0_33, all_0_1_1 and discharging atoms addition(all_0_5_5, all_0_1_1) = all_47_0_31, addition(all_0_8_8, all_51_0_33) = all_0_5_5, yields:
% 24.50/7.43 | (296) ? [v0] : (addition(all_51_0_33, all_0_1_1) = v0 & addition(all_0_8_8, v0) = all_47_0_31)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_61_0_38, all_11_0_14, all_0_8_8, all_0_6_6, all_0_3_3 and discharging atoms addition(all_0_6_6, all_0_3_3) = all_11_0_14, addition(all_0_8_8, all_11_0_14) = all_61_0_38, yields:
% 24.50/7.43 | (297) ? [v0] : (addition(v0, all_0_3_3) = all_61_0_38 & addition(all_0_8_8, all_0_6_6) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_61_0_38, all_11_0_14, all_0_8_8, all_0_3_3, all_0_6_6 and discharging atoms addition(all_0_3_3, all_0_6_6) = all_11_0_14, addition(all_0_8_8, all_11_0_14) = all_61_0_38, yields:
% 24.50/7.43 | (298) ? [v0] : (addition(v0, all_0_6_6) = all_61_0_38 & addition(all_0_8_8, all_0_3_3) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (54) with all_61_0_38, all_0_8_8, all_11_0_14 and discharging atoms addition(all_0_8_8, all_11_0_14) = all_61_0_38, yields:
% 24.50/7.43 | (299) addition(all_11_0_14, all_0_8_8) = all_61_0_38
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (25) with all_0_8_8, all_0_12_12, all_0_10_10, all_0_8_8, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_12_12) = all_0_8_8, addition(all_0_8_8, all_0_10_10) = all_0_12_12, yields:
% 24.50/7.43 | (300) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_8_8) = v0 & multiplication(all_0_9_9, all_0_10_10) = v1 & addition(v0, v1) = all_0_8_8)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (25) with all_0_10_10, all_0_12_12, all_0_10_10, all_0_8_8, all_0_11_11 and discharging atoms multiplication(all_0_11_11, all_0_12_12) = all_0_10_10, addition(all_0_8_8, all_0_10_10) = all_0_12_12, yields:
% 24.50/7.43 | (301) ? [v0] : ? [v1] : (multiplication(all_0_11_11, all_0_8_8) = v0 & multiplication(all_0_11_11, all_0_10_10) = v1 & addition(v0, v1) = all_0_10_10)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (14) with all_0_6_6, all_0_12_12, all_0_11_11, all_0_10_10, all_0_8_8 and discharging atoms multiplication(all_0_12_12, all_0_11_11) = all_0_6_6, addition(all_0_8_8, all_0_10_10) = all_0_12_12, yields:
% 24.50/7.43 | (302) ? [v0] : ? [v1] : (multiplication(all_0_8_8, all_0_11_11) = v0 & multiplication(all_0_10_10, all_0_11_11) = v1 & addition(v0, v1) = all_0_6_6)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (25) with all_0_12_12, all_0_12_12, all_0_10_10, all_0_8_8, one and discharging atoms multiplication(one, all_0_12_12) = all_0_12_12, addition(all_0_8_8, all_0_10_10) = all_0_12_12, yields:
% 24.50/7.43 | (303) ? [v0] : ? [v1] : (multiplication(one, all_0_8_8) = v0 & multiplication(one, all_0_10_10) = v1 & addition(v0, v1) = all_0_12_12)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_0_2_2, all_0_12_12, all_11_0_14, all_0_8_8, all_0_10_10 and discharging atoms addition(all_11_0_14, all_0_12_12) = all_0_2_2, addition(all_0_8_8, all_0_10_10) = all_0_12_12, yields:
% 24.50/7.43 | (304) ? [v0] : (addition(v0, all_0_10_10) = all_0_2_2 & addition(all_11_0_14, all_0_8_8) = v0)
% 24.50/7.43 |
% 24.50/7.43 | Instantiating formula (52) with all_65_0_40, all_0_12_12, all_0_1_1, all_0_8_8, all_0_10_10 and discharging atoms addition(all_0_1_1, all_0_12_12) = all_65_0_40, addition(all_0_8_8, all_0_10_10) = all_0_12_12, yields:
% 24.50/7.43 | (305) ? [v0] : (addition(v0, all_0_10_10) = all_65_0_40 & addition(all_0_1_1, all_0_8_8) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_45_0_30, all_0_12_12, all_0_3_3, all_0_8_8, all_0_10_10 and discharging atoms addition(all_0_3_3, all_0_12_12) = all_45_0_30, addition(all_0_8_8, all_0_10_10) = all_0_12_12, yields:
% 24.50/7.44 | (306) ? [v0] : (addition(v0, all_0_10_10) = all_45_0_30 & addition(all_0_3_3, all_0_8_8) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (23) with one, all_0_11_11, all_0_9_9 and discharging atoms addition(all_0_9_9, all_0_11_11) = one, complement(all_0_11_11, all_0_9_9), yields:
% 24.50/7.44 | (307) multiplication(all_0_9_9, all_0_11_11) = zero & multiplication(all_0_11_11, all_0_9_9) = zero
% 24.50/7.44 |
% 24.50/7.44 | Applying alpha-rule on (307) yields:
% 24.50/7.44 | (308) multiplication(all_0_9_9, all_0_11_11) = zero
% 24.50/7.44 | (309) multiplication(all_0_11_11, all_0_9_9) = zero
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_0_10_10, all_61_0_38, all_0_1_1 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_0_0_0, addition(all_0_10_10, all_61_0_38) = all_0_2_2, yields:
% 24.50/7.44 | (310) ? [v0] : (addition(all_61_0_38, all_0_1_1) = v0 & addition(all_0_10_10, v0) = all_0_0_0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_69_0_42, all_11_0_14, all_0_10_10, all_0_6_6, all_0_3_3 and discharging atoms addition(all_0_6_6, all_0_3_3) = all_11_0_14, addition(all_0_10_10, all_11_0_14) = all_69_0_42, yields:
% 24.50/7.44 | (311) ? [v0] : (addition(v0, all_0_3_3) = all_69_0_42 & addition(all_0_10_10, all_0_6_6) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_69_0_42, all_11_0_14, all_0_10_10, all_0_3_3, all_0_6_6 and discharging atoms addition(all_0_3_3, all_0_6_6) = all_11_0_14, addition(all_0_10_10, all_11_0_14) = all_69_0_42, yields:
% 24.50/7.44 | (312) ? [v0] : (addition(v0, all_0_6_6) = all_69_0_42 & addition(all_0_10_10, all_0_3_3) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (54) with all_69_0_42, all_0_10_10, all_11_0_14 and discharging atoms addition(all_0_10_10, all_11_0_14) = all_69_0_42, yields:
% 24.50/7.44 | (313) addition(all_11_0_14, all_0_10_10) = all_69_0_42
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (54) with all_51_0_33, all_0_10_10, all_0_6_6 and discharging atoms addition(all_0_10_10, all_0_6_6) = all_51_0_33, yields:
% 24.50/7.44 | (314) addition(all_0_6_6, all_0_10_10) = all_51_0_33
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (25) with all_0_8_8, all_0_12_12, all_0_8_8, all_0_10_10, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_12_12) = all_0_8_8, addition(all_0_10_10, all_0_8_8) = all_0_12_12, yields:
% 24.50/7.44 | (315) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_8_8) = v1 & multiplication(all_0_9_9, all_0_10_10) = v0 & addition(v0, v1) = all_0_8_8)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (25) with all_0_10_10, all_0_12_12, all_0_8_8, all_0_10_10, all_0_11_11 and discharging atoms multiplication(all_0_11_11, all_0_12_12) = all_0_10_10, addition(all_0_10_10, all_0_8_8) = all_0_12_12, yields:
% 24.50/7.44 | (316) ? [v0] : ? [v1] : (multiplication(all_0_11_11, all_0_8_8) = v1 & multiplication(all_0_11_11, all_0_10_10) = v0 & addition(v0, v1) = all_0_10_10)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (14) with all_0_6_6, all_0_12_12, all_0_11_11, all_0_8_8, all_0_10_10 and discharging atoms multiplication(all_0_12_12, all_0_11_11) = all_0_6_6, addition(all_0_10_10, all_0_8_8) = all_0_12_12, yields:
% 24.50/7.44 | (317) ? [v0] : ? [v1] : (multiplication(all_0_8_8, all_0_11_11) = v1 & multiplication(all_0_10_10, all_0_11_11) = v0 & addition(v0, v1) = all_0_6_6)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (25) with all_0_12_12, all_0_12_12, all_0_8_8, all_0_10_10, one and discharging atoms multiplication(one, all_0_12_12) = all_0_12_12, addition(all_0_10_10, all_0_8_8) = all_0_12_12, yields:
% 24.50/7.44 | (318) ? [v0] : ? [v1] : (multiplication(one, all_0_8_8) = v1 & multiplication(one, all_0_10_10) = v0 & addition(v0, v1) = all_0_12_12)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_0_2_2, all_0_12_12, all_11_0_14, all_0_10_10, all_0_8_8 and discharging atoms addition(all_11_0_14, all_0_12_12) = all_0_2_2, addition(all_0_10_10, all_0_8_8) = all_0_12_12, yields:
% 24.50/7.44 | (319) ? [v0] : (addition(v0, all_0_8_8) = all_0_2_2 & addition(all_11_0_14, all_0_10_10) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_65_0_40, all_0_12_12, all_0_1_1, all_0_10_10, all_0_8_8 and discharging atoms addition(all_0_1_1, all_0_12_12) = all_65_0_40, addition(all_0_10_10, all_0_8_8) = all_0_12_12, yields:
% 24.50/7.44 | (320) ? [v0] : (addition(v0, all_0_8_8) = all_65_0_40 & addition(all_0_1_1, all_0_10_10) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_45_0_30, all_0_12_12, all_0_3_3, all_0_10_10, all_0_8_8 and discharging atoms addition(all_0_3_3, all_0_12_12) = all_45_0_30, addition(all_0_10_10, all_0_8_8) = all_0_12_12, yields:
% 24.50/7.44 | (321) ? [v0] : (addition(v0, all_0_8_8) = all_45_0_30 & addition(all_0_3_3, all_0_10_10) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (49) with all_0_9_9, all_0_11_11 and discharging atoms addition(all_0_11_11, all_0_9_9) = one, yields:
% 24.50/7.44 | (322) complement(all_0_9_9, all_0_11_11) | ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_11_11) = v1 & multiplication(all_0_11_11, all_0_9_9) = v0 & ( ~ (v1 = zero) | ~ (v0 = zero)))
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_25_0_25, all_0_12_12, all_0_11_11, all_0_8_8, all_0_10_10 and discharging atoms addition(all_0_8_8, all_0_10_10) = all_0_12_12, addition(all_0_11_11, all_0_12_12) = all_25_0_25, yields:
% 24.50/7.44 | (323) ? [v0] : (addition(v0, all_0_10_10) = all_25_0_25 & addition(all_0_11_11, all_0_8_8) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_25_0_25, all_0_12_12, all_0_11_11, all_0_10_10, all_0_8_8 and discharging atoms addition(all_0_10_10, all_0_8_8) = all_0_12_12, addition(all_0_11_11, all_0_12_12) = all_25_0_25, yields:
% 24.50/7.44 | (324) ? [v0] : (addition(v0, all_0_8_8) = all_25_0_25 & addition(all_0_11_11, all_0_10_10) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (5) with all_25_0_25, all_0_12_12, all_0_11_11 and discharging atoms addition(all_0_11_11, all_0_12_12) = all_25_0_25, test(all_0_11_11), test(all_0_12_12), yields:
% 24.50/7.44 | (325) ? [v0] : ? [v1] : ? [v2] : (c(all_25_0_25) = v0 & c(all_0_11_11) = v1 & c(all_0_12_12) = v2 & multiplication(v1, v2) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (48) with all_0_0_0, all_0_12_12, all_0_8_8, all_0_10_10, all_73_0_44 and discharging atoms addition(all_0_8_8, all_0_10_10) = all_0_12_12, addition(all_0_12_12, all_73_0_44) = all_0_0_0, yields:
% 24.50/7.44 | (326) ? [v0] : (addition(all_0_8_8, v0) = all_0_0_0 & addition(all_0_10_10, all_73_0_44) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (48) with all_0_0_0, all_0_12_12, all_0_10_10, all_0_8_8, all_73_0_44 and discharging atoms addition(all_0_10_10, all_0_8_8) = all_0_12_12, addition(all_0_12_12, all_73_0_44) = all_0_0_0, yields:
% 24.50/7.44 | (327) ? [v0] : (addition(all_0_8_8, all_73_0_44) = v0 & addition(all_0_10_10, v0) = all_0_0_0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (48) with all_0_0_0, all_0_12_12, all_0_8_8, all_0_10_10, all_49_0_32 and discharging atoms addition(all_0_8_8, all_0_10_10) = all_0_12_12, addition(all_0_12_12, all_49_0_32) = all_0_0_0, yields:
% 24.50/7.44 | (328) ? [v0] : (addition(all_0_8_8, v0) = all_0_0_0 & addition(all_0_10_10, all_49_0_32) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (48) with all_0_0_0, all_0_12_12, all_0_10_10, all_0_8_8, all_49_0_32 and discharging atoms addition(all_0_10_10, all_0_8_8) = all_0_12_12, addition(all_0_12_12, all_49_0_32) = all_0_0_0, yields:
% 24.50/7.44 | (329) ? [v0] : (addition(all_0_8_8, all_49_0_32) = v0 & addition(all_0_10_10, v0) = all_0_0_0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_0_2_2, all_11_0_14, all_0_12_12, all_0_3_3, all_0_6_6 and discharging atoms addition(all_0_3_3, all_0_6_6) = all_11_0_14, addition(all_0_12_12, all_11_0_14) = all_0_2_2, yields:
% 24.50/7.44 | (330) ? [v0] : (addition(v0, all_0_6_6) = all_0_2_2 & addition(all_0_12_12, all_0_3_3) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (48) with all_41_0_28, all_0_12_12, all_0_8_8, all_0_10_10, all_0_3_3 and discharging atoms addition(all_0_8_8, all_0_10_10) = all_0_12_12, addition(all_0_12_12, all_0_3_3) = all_41_0_28, yields:
% 24.50/7.44 | (331) ? [v0] : (addition(all_0_8_8, v0) = all_41_0_28 & addition(all_0_10_10, all_0_3_3) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (48) with all_41_0_28, all_0_12_12, all_0_10_10, all_0_8_8, all_0_3_3 and discharging atoms addition(all_0_10_10, all_0_8_8) = all_0_12_12, addition(all_0_12_12, all_0_3_3) = all_41_0_28, yields:
% 24.50/7.44 | (332) ? [v0] : (addition(all_0_8_8, all_0_3_3) = v0 & addition(all_0_10_10, v0) = all_41_0_28)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (54) with all_41_0_28, all_0_12_12, all_0_3_3 and discharging atoms addition(all_0_12_12, all_0_3_3) = all_41_0_28, yields:
% 24.50/7.44 | (333) addition(all_0_3_3, all_0_12_12) = all_41_0_28
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_43_0_29, all_0_4_4, all_0_12_12, all_0_1_1, all_0_3_3 and discharging atoms addition(all_0_1_1, all_0_3_3) = all_0_4_4, addition(all_0_12_12, all_0_4_4) = all_43_0_29, yields:
% 24.50/7.44 | (334) ? [v0] : (addition(v0, all_0_3_3) = all_43_0_29 & addition(all_0_12_12, all_0_1_1) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_43_0_29, all_0_4_4, all_0_12_12, all_0_3_3, all_0_1_1 and discharging atoms addition(all_0_3_3, all_0_1_1) = all_0_4_4, addition(all_0_12_12, all_0_4_4) = all_43_0_29, yields:
% 24.50/7.44 | (335) ? [v0] : (addition(v0, all_0_1_1) = all_43_0_29 & addition(all_0_12_12, all_0_3_3) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (48) with all_43_0_29, all_0_12_12, all_0_10_10, all_0_8_8, all_0_4_4 and discharging atoms addition(all_0_10_10, all_0_8_8) = all_0_12_12, addition(all_0_12_12, all_0_4_4) = all_43_0_29, yields:
% 24.50/7.44 | (336) ? [v0] : (addition(all_0_8_8, all_0_4_4) = v0 & addition(all_0_10_10, v0) = all_43_0_29)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (54) with all_43_0_29, all_0_12_12, all_0_4_4 and discharging atoms addition(all_0_12_12, all_0_4_4) = all_43_0_29, yields:
% 24.50/7.44 | (337) addition(all_0_4_4, all_0_12_12) = all_43_0_29
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_57_0_36, all_0_5_5, all_0_1_1, all_0_12_12, all_0_6_6 and discharging atoms addition(all_0_1_1, all_0_5_5) = all_57_0_36, addition(all_0_12_12, all_0_6_6) = all_0_5_5, yields:
% 24.50/7.44 | (338) ? [v0] : (addition(v0, all_0_6_6) = all_57_0_36 & addition(all_0_1_1, all_0_12_12) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (52) with all_0_0_0, all_0_5_5, all_0_4_4, all_0_12_12, all_0_6_6 and discharging atoms addition(all_0_4_4, all_0_5_5) = all_0_0_0, addition(all_0_12_12, all_0_6_6) = all_0_5_5, yields:
% 24.50/7.44 | (339) ? [v0] : (addition(v0, all_0_6_6) = all_0_0_0 & addition(all_0_4_4, all_0_12_12) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (7) with all_0_3_3, all_0_11_11, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_11_11) = all_0_3_3, test(all_0_4_4), test(all_0_11_11), yields:
% 24.50/7.44 | (340) ? [v0] : ? [v1] : ? [v2] : (c(all_0_3_3) = v0 & c(all_0_4_4) = v1 & c(all_0_11_11) = v2 & addition(v1, v2) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (5) with all_43_0_29, all_0_4_4, all_0_12_12 and discharging atoms addition(all_0_12_12, all_0_4_4) = all_43_0_29, test(all_0_4_4), test(all_0_12_12), yields:
% 24.50/7.44 | (341) ? [v0] : ? [v1] : ? [v2] : (c(all_43_0_29) = v0 & c(all_0_4_4) = v2 & c(all_0_12_12) = v1 & multiplication(v1, v2) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (7) with all_0_1_1, all_0_9_9, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_9_9) = all_0_1_1, test(all_0_4_4), test(all_0_9_9), yields:
% 24.50/7.44 | (342) ? [v0] : ? [v1] : ? [v2] : (c(all_0_1_1) = v0 & c(all_0_4_4) = v1 & c(all_0_9_9) = v2 & addition(v1, v2) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (7) with all_0_8_8, all_0_12_12, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_12_12) = all_0_8_8, test(all_0_9_9), test(all_0_12_12), yields:
% 24.50/7.44 | (343) ? [v0] : ? [v1] : ? [v2] : (c(all_0_8_8) = v0 & c(all_0_9_9) = v1 & c(all_0_12_12) = v2 & addition(v1, v2) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (5) with all_19_2_20, all_0_9_9, all_0_4_4 and discharging atoms addition(all_0_4_4, all_0_9_9) = all_19_2_20, test(all_0_4_4), test(all_0_9_9), yields:
% 24.50/7.44 | (344) ? [v0] : ? [v1] : ? [v2] : (c(all_19_2_20) = v0 & c(all_0_4_4) = v1 & c(all_0_9_9) = v2 & multiplication(v1, v2) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (5) with all_19_2_20, all_0_4_4, all_0_9_9 and discharging atoms addition(all_0_9_9, all_0_4_4) = all_19_2_20, test(all_0_4_4), test(all_0_9_9), yields:
% 24.50/7.44 | (345) ? [v0] : ? [v1] : ? [v2] : (c(all_19_2_20) = v0 & c(all_0_4_4) = v2 & c(all_0_9_9) = v1 & multiplication(v1, v2) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (5) with one, all_0_11_11, all_0_9_9 and discharging atoms addition(all_0_9_9, all_0_11_11) = one, test(all_0_9_9), test(all_0_11_11), yields:
% 24.50/7.44 | (346) ? [v0] : ? [v1] : ? [v2] : (c(all_0_9_9) = v1 & c(all_0_11_11) = v2 & c(one) = v0 & multiplication(v1, v2) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating formula (5) with one, all_0_9_9, all_0_11_11 and discharging atoms addition(all_0_11_11, all_0_9_9) = one, test(all_0_9_9), test(all_0_11_11), yields:
% 24.50/7.44 | (347) ? [v0] : ? [v1] : ? [v2] : (c(all_0_9_9) = v2 & c(all_0_11_11) = v1 & c(one) = v0 & multiplication(v1, v2) = v0)
% 24.50/7.44 |
% 24.50/7.44 | Instantiating (250) with all_97_0_47 yields:
% 24.50/7.44 | (348) addition(all_97_0_47, all_0_6_6) = all_0_2_2 & addition(all_75_0_45, all_0_8_8) = all_97_0_47
% 24.50/7.44 |
% 24.50/7.44 | Applying alpha-rule on (348) yields:
% 24.50/7.44 | (349) addition(all_97_0_47, all_0_6_6) = all_0_2_2
% 24.50/7.44 | (350) addition(all_75_0_45, all_0_8_8) = all_97_0_47
% 24.50/7.44 |
% 24.50/7.44 | Instantiating (249) with all_99_0_48 yields:
% 24.50/7.44 | (351) addition(all_75_0_45, all_99_0_48) = all_0_0_0 & addition(all_9_0_13, all_0_1_1) = all_99_0_48
% 24.50/7.44 |
% 24.50/7.44 | Applying alpha-rule on (351) yields:
% 24.50/7.44 | (352) addition(all_75_0_45, all_99_0_48) = all_0_0_0
% 24.50/7.44 | (353) addition(all_9_0_13, all_0_1_1) = all_99_0_48
% 24.50/7.44 |
% 24.50/7.44 | Instantiating (258) with all_101_0_49 yields:
% 24.50/7.44 | (354) addition(all_11_0_14, all_101_0_49) = all_0_0_0 & addition(all_0_12_12, all_0_1_1) = all_101_0_49
% 24.50/7.44 |
% 24.50/7.44 | Applying alpha-rule on (354) yields:
% 24.50/7.44 | (355) addition(all_11_0_14, all_101_0_49) = all_0_0_0
% 24.50/7.44 | (356) addition(all_0_12_12, all_0_1_1) = all_101_0_49
% 24.50/7.44 |
% 24.50/7.44 | Instantiating (251) with all_103_0_50 yields:
% 24.50/7.44 | (357) addition(all_103_0_50, all_0_3_3) = all_0_0_0 & addition(all_65_0_40, all_0_6_6) = all_103_0_50
% 24.50/7.44 |
% 24.50/7.44 | Applying alpha-rule on (357) yields:
% 24.50/7.44 | (358) addition(all_103_0_50, all_0_3_3) = all_0_0_0
% 24.50/7.44 | (359) addition(all_65_0_40, all_0_6_6) = all_103_0_50
% 24.50/7.44 |
% 24.50/7.44 | Instantiating (248) with all_107_0_52 yields:
% 24.50/7.45 | (360) multiplication(all_0_12_12, all_0_11_11) = all_107_0_52 & multiplication(one, all_107_0_52) = all_0_6_6
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (360) yields:
% 24.50/7.45 | (361) multiplication(all_0_12_12, all_0_11_11) = all_107_0_52
% 24.50/7.45 | (362) multiplication(one, all_107_0_52) = all_0_6_6
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (260) with all_109_0_53 yields:
% 24.50/7.45 | (363) addition(all_0_6_6, all_0_3_3) = all_109_0_53 & addition(all_0_8_8, all_109_0_53) = all_77_0_46
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (363) yields:
% 24.50/7.45 | (364) addition(all_0_6_6, all_0_3_3) = all_109_0_53
% 24.50/7.45 | (365) addition(all_0_8_8, all_109_0_53) = all_77_0_46
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (259) with all_111_0_54 yields:
% 24.50/7.45 | (366) addition(all_0_3_3, all_0_12_12) = all_111_0_54 & addition(all_0_6_6, all_111_0_54) = all_0_2_2
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (366) yields:
% 24.50/7.45 | (367) addition(all_0_3_3, all_0_12_12) = all_111_0_54
% 24.50/7.45 | (368) addition(all_0_6_6, all_111_0_54) = all_0_2_2
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (247) with all_113_0_55 yields:
% 24.50/7.45 | (369) multiplication(all_113_0_55, all_0_12_12) = all_0_10_10 & multiplication(all_0_11_11, one) = all_113_0_55
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (369) yields:
% 24.50/7.45 | (370) multiplication(all_113_0_55, all_0_12_12) = all_0_10_10
% 24.50/7.45 | (371) multiplication(all_0_11_11, one) = all_113_0_55
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (257) with all_117_0_57 yields:
% 24.50/7.45 | (372) addition(all_117_0_57, all_0_12_12) = all_0_0_0 & addition(all_0_1_1, all_11_0_14) = all_117_0_57
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (372) yields:
% 24.50/7.45 | (373) addition(all_117_0_57, all_0_12_12) = all_0_0_0
% 24.50/7.45 | (374) addition(all_0_1_1, all_11_0_14) = all_117_0_57
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (246) with all_119_0_58 yields:
% 24.50/7.45 | (375) multiplication(all_119_0_58, all_0_12_12) = all_0_8_8 & multiplication(all_0_9_9, one) = all_119_0_58
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (375) yields:
% 24.50/7.45 | (376) multiplication(all_119_0_58, all_0_12_12) = all_0_8_8
% 24.50/7.45 | (377) multiplication(all_0_9_9, one) = all_119_0_58
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (245) with all_123_0_60 yields:
% 24.50/7.45 | (378) multiplication(all_0_4_4, all_123_0_60) = all_0_3_3 & multiplication(one, all_0_11_11) = all_123_0_60
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (378) yields:
% 24.50/7.45 | (379) multiplication(all_0_4_4, all_123_0_60) = all_0_3_3
% 24.50/7.45 | (380) multiplication(one, all_0_11_11) = all_123_0_60
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (328) with all_127_0_62 yields:
% 24.50/7.45 | (381) addition(all_0_8_8, all_127_0_62) = all_0_0_0 & addition(all_0_10_10, all_49_0_32) = all_127_0_62
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (381) yields:
% 24.50/7.45 | (382) addition(all_0_8_8, all_127_0_62) = all_0_0_0
% 24.50/7.45 | (383) addition(all_0_10_10, all_49_0_32) = all_127_0_62
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (293) with all_129_0_63 yields:
% 24.50/7.45 | (384) addition(all_51_0_33, all_0_3_3) = all_129_0_63 & addition(all_0_8_8, all_129_0_63) = all_0_2_2
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (384) yields:
% 24.50/7.45 | (385) addition(all_51_0_33, all_0_3_3) = all_129_0_63
% 24.50/7.45 | (386) addition(all_0_8_8, all_129_0_63) = all_0_2_2
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (292) with all_131_0_64 yields:
% 24.50/7.45 | (387) addition(all_131_0_64, all_51_0_33) = all_0_2_2 & addition(all_0_3_3, all_0_8_8) = all_131_0_64
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (387) yields:
% 24.50/7.45 | (388) addition(all_131_0_64, all_51_0_33) = all_0_2_2
% 24.50/7.45 | (389) addition(all_0_3_3, all_0_8_8) = all_131_0_64
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (342) with all_133_0_65, all_133_1_66, all_133_2_67 yields:
% 24.50/7.45 | (390) c(all_0_1_1) = all_133_2_67 & c(all_0_4_4) = all_133_1_66 & c(all_0_9_9) = all_133_0_65 & addition(all_133_1_66, all_133_0_65) = all_133_2_67
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (390) yields:
% 24.50/7.45 | (391) c(all_0_1_1) = all_133_2_67
% 24.50/7.45 | (392) c(all_0_4_4) = all_133_1_66
% 24.50/7.45 | (393) c(all_0_9_9) = all_133_0_65
% 24.50/7.45 | (394) addition(all_133_1_66, all_133_0_65) = all_133_2_67
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (284) with all_137_0_69 yields:
% 24.50/7.45 | (395) addition(all_137_0_69, all_0_3_3) = all_0_0_0 & addition(all_0_5_5, all_0_1_1) = all_137_0_69
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (395) yields:
% 24.50/7.45 | (396) addition(all_137_0_69, all_0_3_3) = all_0_0_0
% 24.50/7.45 | (397) addition(all_0_5_5, all_0_1_1) = all_137_0_69
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (291) with all_141_0_71 yields:
% 24.50/7.45 | (398) addition(all_141_0_71, all_69_0_42) = all_0_0_0 & addition(all_0_1_1, all_0_8_8) = all_141_0_71
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (398) yields:
% 24.50/7.45 | (399) addition(all_141_0_71, all_69_0_42) = all_0_0_0
% 24.50/7.45 | (400) addition(all_0_1_1, all_0_8_8) = all_141_0_71
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (338) with all_145_0_73 yields:
% 24.50/7.45 | (401) addition(all_145_0_73, all_0_6_6) = all_57_0_36 & addition(all_0_1_1, all_0_12_12) = all_145_0_73
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (401) yields:
% 24.50/7.45 | (402) addition(all_145_0_73, all_0_6_6) = all_57_0_36
% 24.50/7.45 | (403) addition(all_0_1_1, all_0_12_12) = all_145_0_73
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (265) with all_147_0_74 yields:
% 24.50/7.45 | (404) addition(all_0_6_6, all_0_10_10) = all_147_0_74 & addition(all_0_8_8, all_147_0_74) = all_0_5_5
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (404) yields:
% 24.50/7.45 | (405) addition(all_0_6_6, all_0_10_10) = all_147_0_74
% 24.50/7.45 | (406) addition(all_0_8_8, all_147_0_74) = all_0_5_5
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (264) with all_149_0_75 yields:
% 24.50/7.45 | (407) addition(all_9_0_13, all_149_0_75) = all_0_2_2 & addition(all_0_10_10, all_0_3_3) = all_149_0_75
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (407) yields:
% 24.50/7.45 | (408) addition(all_9_0_13, all_149_0_75) = all_0_2_2
% 24.50/7.45 | (409) addition(all_0_10_10, all_0_3_3) = all_149_0_75
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (253) with all_153_0_77 yields:
% 24.50/7.45 | (410) addition(all_153_0_77, all_0_8_8) = all_0_2_2 & addition(all_0_3_3, all_39_0_27) = all_153_0_77
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (410) yields:
% 24.50/7.45 | (411) addition(all_153_0_77, all_0_8_8) = all_0_2_2
% 24.50/7.45 | (412) addition(all_0_3_3, all_39_0_27) = all_153_0_77
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (276) with all_157_0_79 yields:
% 24.50/7.45 | (413) addition(all_157_0_79, all_0_1_1) = all_67_0_41 & addition(all_9_0_13, all_0_3_3) = all_157_0_79
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (413) yields:
% 24.50/7.45 | (414) addition(all_157_0_79, all_0_1_1) = all_67_0_41
% 24.50/7.45 | (415) addition(all_9_0_13, all_0_3_3) = all_157_0_79
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (275) with all_159_0_80, all_159_1_81 yields:
% 24.50/7.45 | (416) multiplication(all_0_1_1, one) = all_159_0_80 & multiplication(all_0_3_3, one) = all_159_1_81 & addition(all_159_1_81, all_159_0_80) = all_0_4_4
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (416) yields:
% 24.50/7.45 | (417) multiplication(all_0_1_1, one) = all_159_0_80
% 24.50/7.45 | (418) multiplication(all_0_3_3, one) = all_159_1_81
% 24.50/7.45 | (419) addition(all_159_1_81, all_159_0_80) = all_0_4_4
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (262) with all_161_0_82 yields:
% 24.50/7.45 | (420) addition(all_0_6_6, all_0_4_4) = all_161_0_82 & addition(all_0_8_8, all_161_0_82) = all_67_0_41
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (420) yields:
% 24.50/7.45 | (421) addition(all_0_6_6, all_0_4_4) = all_161_0_82
% 24.50/7.45 | (422) addition(all_0_8_8, all_161_0_82) = all_67_0_41
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (254) with all_163_0_83 yields:
% 24.50/7.45 | (423) addition(all_39_0_27, all_163_0_83) = all_0_2_2 & addition(all_0_8_8, all_0_3_3) = all_163_0_83
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (423) yields:
% 24.50/7.45 | (424) addition(all_39_0_27, all_163_0_83) = all_0_2_2
% 24.50/7.45 | (425) addition(all_0_8_8, all_0_3_3) = all_163_0_83
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (290) with all_167_0_85 yields:
% 24.50/7.45 | (426) addition(all_0_6_6, all_167_0_85) = all_47_0_31 & addition(all_0_12_12, all_0_1_1) = all_167_0_85
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (426) yields:
% 24.50/7.45 | (427) addition(all_0_6_6, all_167_0_85) = all_47_0_31
% 24.50/7.45 | (428) addition(all_0_12_12, all_0_1_1) = all_167_0_85
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (341) with all_171_0_87, all_171_1_88, all_171_2_89 yields:
% 24.50/7.45 | (429) c(all_43_0_29) = all_171_2_89 & c(all_0_4_4) = all_171_0_87 & c(all_0_12_12) = all_171_1_88 & multiplication(all_171_1_88, all_171_0_87) = all_171_2_89
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (429) yields:
% 24.50/7.45 | (430) c(all_43_0_29) = all_171_2_89
% 24.50/7.45 | (431) c(all_0_4_4) = all_171_0_87
% 24.50/7.45 | (432) c(all_0_12_12) = all_171_1_88
% 24.50/7.45 | (433) multiplication(all_171_1_88, all_171_0_87) = all_171_2_89
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (340) with all_173_0_90, all_173_1_91, all_173_2_92 yields:
% 24.50/7.45 | (434) c(all_0_3_3) = all_173_2_92 & c(all_0_4_4) = all_173_1_91 & c(all_0_11_11) = all_173_0_90 & addition(all_173_1_91, all_173_0_90) = all_173_2_92
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (434) yields:
% 24.50/7.45 | (435) c(all_0_3_3) = all_173_2_92
% 24.50/7.45 | (436) c(all_0_4_4) = all_173_1_91
% 24.50/7.45 | (437) c(all_0_11_11) = all_173_0_90
% 24.50/7.45 | (438) addition(all_173_1_91, all_173_0_90) = all_173_2_92
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (289) with all_175_0_93 yields:
% 24.50/7.45 | (439) addition(all_0_6_6, all_175_0_93) = all_67_0_41 & addition(all_0_8_8, all_0_4_4) = all_175_0_93
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (439) yields:
% 24.50/7.45 | (440) addition(all_0_6_6, all_175_0_93) = all_67_0_41
% 24.50/7.45 | (441) addition(all_0_8_8, all_0_4_4) = all_175_0_93
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (329) with all_177_0_94 yields:
% 24.50/7.45 | (442) addition(all_0_8_8, all_49_0_32) = all_177_0_94 & addition(all_0_10_10, all_177_0_94) = all_0_0_0
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (442) yields:
% 24.50/7.45 | (443) addition(all_0_8_8, all_49_0_32) = all_177_0_94
% 24.50/7.45 | (444) addition(all_0_10_10, all_177_0_94) = all_0_0_0
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (327) with all_179_0_95 yields:
% 24.50/7.45 | (445) addition(all_0_8_8, all_73_0_44) = all_179_0_95 & addition(all_0_10_10, all_179_0_95) = all_0_0_0
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (445) yields:
% 24.50/7.45 | (446) addition(all_0_8_8, all_73_0_44) = all_179_0_95
% 24.50/7.45 | (447) addition(all_0_10_10, all_179_0_95) = all_0_0_0
% 24.50/7.45 |
% 24.50/7.45 | Instantiating (325) with all_181_0_96, all_181_1_97, all_181_2_98 yields:
% 24.50/7.45 | (448) c(all_25_0_25) = all_181_2_98 & c(all_0_11_11) = all_181_1_97 & c(all_0_12_12) = all_181_0_96 & multiplication(all_181_1_97, all_181_0_96) = all_181_2_98
% 24.50/7.45 |
% 24.50/7.45 | Applying alpha-rule on (448) yields:
% 24.50/7.45 | (449) c(all_25_0_25) = all_181_2_98
% 24.50/7.46 | (450) c(all_0_11_11) = all_181_1_97
% 24.50/7.46 | (451) c(all_0_12_12) = all_181_0_96
% 24.50/7.46 | (452) multiplication(all_181_1_97, all_181_0_96) = all_181_2_98
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (306) with all_183_0_99 yields:
% 24.50/7.46 | (453) addition(all_183_0_99, all_0_10_10) = all_45_0_30 & addition(all_0_3_3, all_0_8_8) = all_183_0_99
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (453) yields:
% 24.50/7.46 | (454) addition(all_183_0_99, all_0_10_10) = all_45_0_30
% 24.50/7.46 | (455) addition(all_0_3_3, all_0_8_8) = all_183_0_99
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (305) with all_185_0_100 yields:
% 24.50/7.46 | (456) addition(all_185_0_100, all_0_10_10) = all_65_0_40 & addition(all_0_1_1, all_0_8_8) = all_185_0_100
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (456) yields:
% 24.50/7.46 | (457) addition(all_185_0_100, all_0_10_10) = all_65_0_40
% 24.50/7.46 | (458) addition(all_0_1_1, all_0_8_8) = all_185_0_100
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (324) with all_187_0_101 yields:
% 24.50/7.46 | (459) addition(all_187_0_101, all_0_8_8) = all_25_0_25 & addition(all_0_11_11, all_0_10_10) = all_187_0_101
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (459) yields:
% 24.50/7.46 | (460) addition(all_187_0_101, all_0_8_8) = all_25_0_25
% 24.50/7.46 | (461) addition(all_0_11_11, all_0_10_10) = all_187_0_101
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (326) with all_189_0_102 yields:
% 24.50/7.46 | (462) addition(all_0_8_8, all_189_0_102) = all_0_0_0 & addition(all_0_10_10, all_73_0_44) = all_189_0_102
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (462) yields:
% 24.50/7.46 | (463) addition(all_0_8_8, all_189_0_102) = all_0_0_0
% 24.50/7.46 | (464) addition(all_0_10_10, all_73_0_44) = all_189_0_102
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (336) with all_193_0_104 yields:
% 24.50/7.46 | (465) addition(all_0_8_8, all_0_4_4) = all_193_0_104 & addition(all_0_10_10, all_193_0_104) = all_43_0_29
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (465) yields:
% 24.50/7.46 | (466) addition(all_0_8_8, all_0_4_4) = all_193_0_104
% 24.50/7.46 | (467) addition(all_0_10_10, all_193_0_104) = all_43_0_29
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (335) with all_195_0_105 yields:
% 24.50/7.46 | (468) addition(all_195_0_105, all_0_1_1) = all_43_0_29 & addition(all_0_12_12, all_0_3_3) = all_195_0_105
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (468) yields:
% 24.50/7.46 | (469) addition(all_195_0_105, all_0_1_1) = all_43_0_29
% 24.50/7.46 | (470) addition(all_0_12_12, all_0_3_3) = all_195_0_105
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (334) with all_197_0_106 yields:
% 24.50/7.46 | (471) addition(all_197_0_106, all_0_3_3) = all_43_0_29 & addition(all_0_12_12, all_0_1_1) = all_197_0_106
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (471) yields:
% 24.50/7.46 | (472) addition(all_197_0_106, all_0_3_3) = all_43_0_29
% 24.50/7.46 | (473) addition(all_0_12_12, all_0_1_1) = all_197_0_106
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (304) with all_199_0_107 yields:
% 24.50/7.46 | (474) addition(all_199_0_107, all_0_10_10) = all_0_2_2 & addition(all_11_0_14, all_0_8_8) = all_199_0_107
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (474) yields:
% 24.50/7.46 | (475) addition(all_199_0_107, all_0_10_10) = all_0_2_2
% 24.50/7.46 | (476) addition(all_11_0_14, all_0_8_8) = all_199_0_107
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (255) with all_203_0_109 yields:
% 24.50/7.46 | (477) addition(all_0_3_3, all_0_1_1) = all_203_0_109 & addition(all_0_6_6, all_203_0_109) = all_73_0_44
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (477) yields:
% 24.50/7.46 | (478) addition(all_0_3_3, all_0_1_1) = all_203_0_109
% 24.50/7.46 | (479) addition(all_0_6_6, all_203_0_109) = all_73_0_44
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (282) with all_209_0_112 yields:
% 24.50/7.46 | (480) addition(all_39_0_27, all_209_0_112) = all_47_0_31 & addition(all_0_8_8, all_0_1_1) = all_209_0_112
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (480) yields:
% 24.50/7.46 | (481) addition(all_39_0_27, all_209_0_112) = all_47_0_31
% 24.50/7.46 | (482) addition(all_0_8_8, all_0_1_1) = all_209_0_112
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (267) with all_215_0_115, all_215_1_116 yields:
% 24.50/7.46 | (483) multiplication(all_0_1_1, all_0_11_11) = all_215_1_116 & multiplication(all_0_3_3, all_0_11_11) = all_215_0_115 & addition(all_215_1_116, all_215_0_115) = all_0_3_3
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (483) yields:
% 24.50/7.46 | (484) multiplication(all_0_1_1, all_0_11_11) = all_215_1_116
% 24.50/7.46 | (485) multiplication(all_0_3_3, all_0_11_11) = all_215_0_115
% 24.50/7.46 | (486) addition(all_215_1_116, all_215_0_115) = all_0_3_3
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (266) with all_217_0_117, all_217_1_118 yields:
% 24.50/7.46 | (487) multiplication(all_0_1_1, all_0_9_9) = all_217_1_118 & multiplication(all_0_3_3, all_0_9_9) = all_217_0_117 & addition(all_217_1_118, all_217_0_117) = all_0_1_1
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (487) yields:
% 24.50/7.46 | (488) multiplication(all_0_1_1, all_0_9_9) = all_217_1_118
% 24.50/7.46 | (489) multiplication(all_0_3_3, all_0_9_9) = all_217_0_117
% 24.50/7.46 | (490) addition(all_217_1_118, all_217_0_117) = all_0_1_1
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (281) with all_219_0_119 yields:
% 24.50/7.46 | (491) addition(all_9_0_13, all_0_1_1) = all_219_0_119 & addition(all_0_10_10, all_219_0_119) = all_47_0_31
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (491) yields:
% 24.50/7.46 | (492) addition(all_9_0_13, all_0_1_1) = all_219_0_119
% 24.50/7.46 | (493) addition(all_0_10_10, all_219_0_119) = all_47_0_31
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (273) with all_221_0_120, all_221_1_121 yields:
% 24.50/7.46 | (494) multiplication(all_0_1_1, all_0_9_9) = all_221_0_120 & multiplication(all_0_3_3, all_0_9_9) = all_221_1_121 & addition(all_221_1_121, all_221_0_120) = all_0_1_1
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (494) yields:
% 24.50/7.46 | (495) multiplication(all_0_1_1, all_0_9_9) = all_221_0_120
% 24.50/7.46 | (496) multiplication(all_0_3_3, all_0_9_9) = all_221_1_121
% 24.50/7.46 | (497) addition(all_221_1_121, all_221_0_120) = all_0_1_1
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (270) with all_225_0_123 yields:
% 24.50/7.46 | (498) addition(all_225_0_123, all_9_0_13) = all_57_0_36 & addition(all_0_1_1, all_0_10_10) = all_225_0_123
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (498) yields:
% 24.50/7.46 | (499) addition(all_225_0_123, all_9_0_13) = all_57_0_36
% 24.50/7.46 | (500) addition(all_0_1_1, all_0_10_10) = all_225_0_123
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (274) with all_227_0_124, all_227_1_125 yields:
% 24.50/7.46 | (501) multiplication(all_0_1_1, all_0_11_11) = all_227_0_124 & multiplication(all_0_3_3, all_0_11_11) = all_227_1_125 & addition(all_227_1_125, all_227_0_124) = all_0_3_3
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (501) yields:
% 24.50/7.46 | (502) multiplication(all_0_1_1, all_0_11_11) = all_227_0_124
% 24.50/7.46 | (503) multiplication(all_0_3_3, all_0_11_11) = all_227_1_125
% 24.50/7.46 | (504) addition(all_227_1_125, all_227_0_124) = all_0_3_3
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (269) with all_231_0_127 yields:
% 24.50/7.46 | (505) addition(all_231_0_127, all_0_3_3) = all_67_0_41 & addition(all_9_0_13, all_0_1_1) = all_231_0_127
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (505) yields:
% 24.50/7.46 | (506) addition(all_231_0_127, all_0_3_3) = all_67_0_41
% 24.50/7.46 | (507) addition(all_9_0_13, all_0_1_1) = all_231_0_127
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (346) with all_239_0_131, all_239_1_132, all_239_2_133 yields:
% 24.50/7.46 | (508) c(all_0_9_9) = all_239_1_132 & c(all_0_11_11) = all_239_0_131 & c(one) = all_239_2_133 & multiplication(all_239_1_132, all_239_0_131) = all_239_2_133
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (508) yields:
% 24.50/7.46 | (509) c(all_0_9_9) = all_239_1_132
% 24.50/7.46 | (510) c(all_0_11_11) = all_239_0_131
% 24.50/7.46 | (511) c(one) = all_239_2_133
% 24.50/7.46 | (512) multiplication(all_239_1_132, all_239_0_131) = all_239_2_133
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (345) with all_241_0_134, all_241_1_135, all_241_2_136 yields:
% 24.50/7.46 | (513) c(all_19_2_20) = all_241_2_136 & c(all_0_4_4) = all_241_0_134 & c(all_0_9_9) = all_241_1_135 & multiplication(all_241_1_135, all_241_0_134) = all_241_2_136
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (513) yields:
% 24.50/7.46 | (514) c(all_19_2_20) = all_241_2_136
% 24.50/7.46 | (515) c(all_0_4_4) = all_241_0_134
% 24.50/7.46 | (516) c(all_0_9_9) = all_241_1_135
% 24.50/7.46 | (517) multiplication(all_241_1_135, all_241_0_134) = all_241_2_136
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (344) with all_245_0_138, all_245_1_139, all_245_2_140 yields:
% 24.50/7.46 | (518) c(all_19_2_20) = all_245_2_140 & c(all_0_4_4) = all_245_1_139 & c(all_0_9_9) = all_245_0_138 & multiplication(all_245_1_139, all_245_0_138) = all_245_2_140
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (518) yields:
% 24.50/7.46 | (519) c(all_19_2_20) = all_245_2_140
% 24.50/7.46 | (520) c(all_0_4_4) = all_245_1_139
% 24.50/7.46 | (521) c(all_0_9_9) = all_245_0_138
% 24.50/7.46 | (522) multiplication(all_245_1_139, all_245_0_138) = all_245_2_140
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (310) with all_247_0_141 yields:
% 24.50/7.46 | (523) addition(all_61_0_38, all_0_1_1) = all_247_0_141 & addition(all_0_10_10, all_247_0_141) = all_0_0_0
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (523) yields:
% 24.50/7.46 | (524) addition(all_61_0_38, all_0_1_1) = all_247_0_141
% 24.50/7.46 | (525) addition(all_0_10_10, all_247_0_141) = all_0_0_0
% 24.50/7.46 |
% 24.50/7.46 | Instantiating (268) with all_249_0_142, all_249_1_143 yields:
% 24.50/7.46 | (526) multiplication(all_0_1_1, one) = all_249_1_143 & multiplication(all_0_3_3, one) = all_249_0_142 & addition(all_249_1_143, all_249_0_142) = all_0_4_4
% 24.50/7.46 |
% 24.50/7.46 | Applying alpha-rule on (526) yields:
% 24.50/7.47 | (527) multiplication(all_0_1_1, one) = all_249_1_143
% 24.50/7.47 | (528) multiplication(all_0_3_3, one) = all_249_0_142
% 24.50/7.47 | (529) addition(all_249_1_143, all_249_0_142) = all_0_4_4
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (263) with all_251_0_144 yields:
% 24.50/7.47 | (530) addition(all_251_0_144, all_0_10_10) = all_0_2_2 & addition(all_0_3_3, all_9_0_13) = all_251_0_144
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (530) yields:
% 24.50/7.47 | (531) addition(all_251_0_144, all_0_10_10) = all_0_2_2
% 24.50/7.47 | (532) addition(all_0_3_3, all_9_0_13) = all_251_0_144
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (343) with all_253_0_145, all_253_1_146, all_253_2_147 yields:
% 24.50/7.47 | (533) c(all_0_8_8) = all_253_2_147 & c(all_0_9_9) = all_253_1_146 & c(all_0_12_12) = all_253_0_145 & addition(all_253_1_146, all_253_0_145) = all_253_2_147
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (533) yields:
% 24.50/7.47 | (534) c(all_0_8_8) = all_253_2_147
% 24.50/7.47 | (535) c(all_0_9_9) = all_253_1_146
% 24.50/7.47 | (536) c(all_0_12_12) = all_253_0_145
% 24.50/7.47 | (537) addition(all_253_1_146, all_253_0_145) = all_253_2_147
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (347) with all_257_0_149, all_257_1_150, all_257_2_151 yields:
% 24.50/7.47 | (538) c(all_0_9_9) = all_257_0_149 & c(all_0_11_11) = all_257_1_150 & c(one) = all_257_2_151 & multiplication(all_257_1_150, all_257_0_149) = all_257_2_151
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (538) yields:
% 24.50/7.47 | (539) c(all_0_9_9) = all_257_0_149
% 24.50/7.47 | (540) c(all_0_11_11) = all_257_1_150
% 24.50/7.47 | (541) c(one) = all_257_2_151
% 24.50/7.47 | (542) multiplication(all_257_1_150, all_257_0_149) = all_257_2_151
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (339) with all_261_0_153 yields:
% 24.50/7.47 | (543) addition(all_261_0_153, all_0_6_6) = all_0_0_0 & addition(all_0_4_4, all_0_12_12) = all_261_0_153
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (543) yields:
% 24.50/7.47 | (544) addition(all_261_0_153, all_0_6_6) = all_0_0_0
% 24.50/7.47 | (545) addition(all_0_4_4, all_0_12_12) = all_261_0_153
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (278) with all_265_0_155 yields:
% 24.50/7.47 | (546) addition(all_265_0_155, all_0_6_6) = all_0_0_0 & addition(all_65_0_40, all_0_3_3) = all_265_0_155
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (546) yields:
% 24.50/7.47 | (547) addition(all_265_0_155, all_0_6_6) = all_0_0_0
% 24.50/7.47 | (548) addition(all_65_0_40, all_0_3_3) = all_265_0_155
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (312) with all_267_0_156 yields:
% 24.50/7.47 | (549) addition(all_267_0_156, all_0_6_6) = all_69_0_42 & addition(all_0_10_10, all_0_3_3) = all_267_0_156
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (549) yields:
% 24.50/7.47 | (550) addition(all_267_0_156, all_0_6_6) = all_69_0_42
% 24.50/7.47 | (551) addition(all_0_10_10, all_0_3_3) = all_267_0_156
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (323) with all_273_0_159 yields:
% 24.50/7.47 | (552) addition(all_273_0_159, all_0_10_10) = all_25_0_25 & addition(all_0_11_11, all_0_8_8) = all_273_0_159
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (552) yields:
% 24.50/7.47 | (553) addition(all_273_0_159, all_0_10_10) = all_25_0_25
% 24.50/7.47 | (554) addition(all_0_11_11, all_0_8_8) = all_273_0_159
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (319) with all_275_0_160 yields:
% 24.50/7.47 | (555) addition(all_275_0_160, all_0_8_8) = all_0_2_2 & addition(all_11_0_14, all_0_10_10) = all_275_0_160
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (555) yields:
% 24.50/7.47 | (556) addition(all_275_0_160, all_0_8_8) = all_0_2_2
% 24.50/7.47 | (557) addition(all_11_0_14, all_0_10_10) = all_275_0_160
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (318) with all_277_0_161, all_277_1_162 yields:
% 24.50/7.47 | (558) multiplication(one, all_0_8_8) = all_277_0_161 & multiplication(one, all_0_10_10) = all_277_1_162 & addition(all_277_1_162, all_277_0_161) = all_0_12_12
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (558) yields:
% 24.50/7.47 | (559) multiplication(one, all_0_8_8) = all_277_0_161
% 24.50/7.47 | (560) multiplication(one, all_0_10_10) = all_277_1_162
% 24.50/7.47 | (561) addition(all_277_1_162, all_277_0_161) = all_0_12_12
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (297) with all_279_0_163 yields:
% 24.50/7.47 | (562) addition(all_279_0_163, all_0_3_3) = all_61_0_38 & addition(all_0_8_8, all_0_6_6) = all_279_0_163
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (562) yields:
% 24.50/7.47 | (563) addition(all_279_0_163, all_0_3_3) = all_61_0_38
% 24.50/7.47 | (564) addition(all_0_8_8, all_0_6_6) = all_279_0_163
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (317) with all_283_0_165, all_283_1_166 yields:
% 24.50/7.47 | (565) multiplication(all_0_8_8, all_0_11_11) = all_283_0_165 & multiplication(all_0_10_10, all_0_11_11) = all_283_1_166 & addition(all_283_1_166, all_283_0_165) = all_0_6_6
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (565) yields:
% 24.50/7.47 | (566) multiplication(all_0_8_8, all_0_11_11) = all_283_0_165
% 24.50/7.47 | (567) multiplication(all_0_10_10, all_0_11_11) = all_283_1_166
% 24.50/7.47 | (568) addition(all_283_1_166, all_283_0_165) = all_0_6_6
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (303) with all_287_0_168, all_287_1_169 yields:
% 24.50/7.47 | (569) multiplication(one, all_0_8_8) = all_287_1_169 & multiplication(one, all_0_10_10) = all_287_0_168 & addition(all_287_1_169, all_287_0_168) = all_0_12_12
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (569) yields:
% 24.50/7.47 | (570) multiplication(one, all_0_8_8) = all_287_1_169
% 24.50/7.47 | (571) multiplication(one, all_0_10_10) = all_287_0_168
% 24.50/7.47 | (572) addition(all_287_1_169, all_287_0_168) = all_0_12_12
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (301) with all_289_0_170, all_289_1_171 yields:
% 24.50/7.47 | (573) multiplication(all_0_11_11, all_0_8_8) = all_289_1_171 & multiplication(all_0_11_11, all_0_10_10) = all_289_0_170 & addition(all_289_1_171, all_289_0_170) = all_0_10_10
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (573) yields:
% 24.50/7.47 | (574) multiplication(all_0_11_11, all_0_8_8) = all_289_1_171
% 24.50/7.47 | (575) multiplication(all_0_11_11, all_0_10_10) = all_289_0_170
% 24.50/7.47 | (576) addition(all_289_1_171, all_289_0_170) = all_0_10_10
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (332) with all_291_0_172 yields:
% 24.50/7.47 | (577) addition(all_0_8_8, all_0_3_3) = all_291_0_172 & addition(all_0_10_10, all_291_0_172) = all_41_0_28
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (577) yields:
% 24.50/7.47 | (578) addition(all_0_8_8, all_0_3_3) = all_291_0_172
% 24.50/7.47 | (579) addition(all_0_10_10, all_291_0_172) = all_41_0_28
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (300) with all_293_0_173, all_293_1_174 yields:
% 24.50/7.47 | (580) multiplication(all_0_9_9, all_0_8_8) = all_293_1_174 & multiplication(all_0_9_9, all_0_10_10) = all_293_0_173 & addition(all_293_1_174, all_293_0_173) = all_0_8_8
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (580) yields:
% 24.50/7.47 | (581) multiplication(all_0_9_9, all_0_8_8) = all_293_1_174
% 24.50/7.47 | (582) multiplication(all_0_9_9, all_0_10_10) = all_293_0_173
% 24.50/7.47 | (583) addition(all_293_1_174, all_293_0_173) = all_0_8_8
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (302) with all_295_0_175, all_295_1_176 yields:
% 24.50/7.47 | (584) multiplication(all_0_8_8, all_0_11_11) = all_295_1_176 & multiplication(all_0_10_10, all_0_11_11) = all_295_0_175 & addition(all_295_1_176, all_295_0_175) = all_0_6_6
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (584) yields:
% 24.50/7.47 | (585) multiplication(all_0_8_8, all_0_11_11) = all_295_1_176
% 24.50/7.47 | (586) multiplication(all_0_10_10, all_0_11_11) = all_295_0_175
% 24.50/7.47 | (587) addition(all_295_1_176, all_295_0_175) = all_0_6_6
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (321) with all_297_0_177 yields:
% 24.50/7.47 | (588) addition(all_297_0_177, all_0_8_8) = all_45_0_30 & addition(all_0_3_3, all_0_10_10) = all_297_0_177
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (588) yields:
% 24.50/7.47 | (589) addition(all_297_0_177, all_0_8_8) = all_45_0_30
% 24.50/7.47 | (590) addition(all_0_3_3, all_0_10_10) = all_297_0_177
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (320) with all_299_0_178 yields:
% 24.50/7.47 | (591) addition(all_299_0_178, all_0_8_8) = all_65_0_40 & addition(all_0_1_1, all_0_10_10) = all_299_0_178
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (591) yields:
% 24.50/7.47 | (592) addition(all_299_0_178, all_0_8_8) = all_65_0_40
% 24.50/7.47 | (593) addition(all_0_1_1, all_0_10_10) = all_299_0_178
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (288) with all_301_0_179 yields:
% 24.50/7.47 | (594) addition(all_0_6_6, all_301_0_179) = all_77_0_46 & addition(all_0_8_8, all_0_3_3) = all_301_0_179
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (594) yields:
% 24.50/7.47 | (595) addition(all_0_6_6, all_301_0_179) = all_77_0_46
% 24.50/7.47 | (596) addition(all_0_8_8, all_0_3_3) = all_301_0_179
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (287) with all_303_0_180 yields:
% 24.50/7.47 | (597) addition(all_303_0_180, all_0_8_8) = all_0_2_2 & addition(all_75_0_45, all_0_6_6) = all_303_0_180
% 24.50/7.47 |
% 24.50/7.47 | Applying alpha-rule on (597) yields:
% 24.50/7.47 | (598) addition(all_303_0_180, all_0_8_8) = all_0_2_2
% 24.50/7.47 | (599) addition(all_75_0_45, all_0_6_6) = all_303_0_180
% 24.50/7.47 |
% 24.50/7.47 | Instantiating (298) with all_307_0_182 yields:
% 24.50/7.47 | (600) addition(all_307_0_182, all_0_6_6) = all_61_0_38 & addition(all_0_8_8, all_0_3_3) = all_307_0_182
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (600) yields:
% 24.50/7.48 | (601) addition(all_307_0_182, all_0_6_6) = all_61_0_38
% 24.50/7.48 | (602) addition(all_0_8_8, all_0_3_3) = all_307_0_182
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (295) with all_311_0_184 yields:
% 24.50/7.48 | (603) addition(all_311_0_184, all_51_0_33) = all_0_0_0 & addition(all_0_4_4, all_0_8_8) = all_311_0_184
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (603) yields:
% 24.50/7.48 | (604) addition(all_311_0_184, all_51_0_33) = all_0_0_0
% 24.50/7.48 | (605) addition(all_0_4_4, all_0_8_8) = all_311_0_184
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (286) with all_313_0_185 yields:
% 24.50/7.48 | (606) addition(all_313_0_185, all_0_1_1) = all_49_0_32 & addition(all_0_6_6, all_0_3_3) = all_313_0_185
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (606) yields:
% 24.50/7.48 | (607) addition(all_313_0_185, all_0_1_1) = all_49_0_32
% 24.50/7.48 | (608) addition(all_0_6_6, all_0_3_3) = all_313_0_185
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (331) with all_315_0_186 yields:
% 24.50/7.48 | (609) addition(all_0_8_8, all_315_0_186) = all_41_0_28 & addition(all_0_10_10, all_0_3_3) = all_315_0_186
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (609) yields:
% 24.50/7.48 | (610) addition(all_0_8_8, all_315_0_186) = all_41_0_28
% 24.50/7.48 | (611) addition(all_0_10_10, all_0_3_3) = all_315_0_186
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (330) with all_317_0_187 yields:
% 24.50/7.48 | (612) addition(all_317_0_187, all_0_6_6) = all_0_2_2 & addition(all_0_12_12, all_0_3_3) = all_317_0_187
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (612) yields:
% 24.50/7.48 | (613) addition(all_317_0_187, all_0_6_6) = all_0_2_2
% 24.50/7.48 | (614) addition(all_0_12_12, all_0_3_3) = all_317_0_187
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (311) with all_319_0_188 yields:
% 24.50/7.48 | (615) addition(all_319_0_188, all_0_3_3) = all_69_0_42 & addition(all_0_10_10, all_0_6_6) = all_319_0_188
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (615) yields:
% 24.50/7.48 | (616) addition(all_319_0_188, all_0_3_3) = all_69_0_42
% 24.50/7.48 | (617) addition(all_0_10_10, all_0_6_6) = all_319_0_188
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (277) with all_323_0_190 yields:
% 24.50/7.48 | (618) multiplication(all_323_0_190, all_0_11_11) = all_11_0_14 & addition(all_0_4_4, all_0_12_12) = all_323_0_190
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (618) yields:
% 24.50/7.48 | (619) multiplication(all_323_0_190, all_0_11_11) = all_11_0_14
% 24.50/7.48 | (620) addition(all_0_4_4, all_0_12_12) = all_323_0_190
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (294) with all_325_0_191 yields:
% 24.50/7.48 | (621) addition(all_325_0_191, all_51_0_33) = all_57_0_36 & addition(all_0_1_1, all_0_8_8) = all_325_0_191
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (621) yields:
% 24.50/7.48 | (622) addition(all_325_0_191, all_51_0_33) = all_57_0_36
% 24.50/7.48 | (623) addition(all_0_1_1, all_0_8_8) = all_325_0_191
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (244) with all_329_0_193 yields:
% 24.50/7.48 | (624) multiplication(all_0_4_4, all_329_0_193) = all_0_1_1 & multiplication(one, all_0_9_9) = all_329_0_193
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (624) yields:
% 24.50/7.48 | (625) multiplication(all_0_4_4, all_329_0_193) = all_0_1_1
% 24.50/7.48 | (626) multiplication(one, all_0_9_9) = all_329_0_193
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (296) with all_331_0_194 yields:
% 24.50/7.48 | (627) addition(all_51_0_33, all_0_1_1) = all_331_0_194 & addition(all_0_8_8, all_331_0_194) = all_47_0_31
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (627) yields:
% 24.50/7.48 | (628) addition(all_51_0_33, all_0_1_1) = all_331_0_194
% 24.50/7.48 | (629) addition(all_0_8_8, all_331_0_194) = all_47_0_31
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (285) with all_333_0_195 yields:
% 24.50/7.48 | (630) addition(all_41_0_28, all_0_1_1) = all_333_0_195 & addition(all_0_6_6, all_333_0_195) = all_0_0_0
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (630) yields:
% 24.50/7.48 | (631) addition(all_41_0_28, all_0_1_1) = all_333_0_195
% 24.50/7.48 | (632) addition(all_0_6_6, all_333_0_195) = all_0_0_0
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (316) with all_335_0_196, all_335_1_197 yields:
% 24.50/7.48 | (633) multiplication(all_0_11_11, all_0_8_8) = all_335_0_196 & multiplication(all_0_11_11, all_0_10_10) = all_335_1_197 & addition(all_335_1_197, all_335_0_196) = all_0_10_10
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (633) yields:
% 24.50/7.48 | (634) multiplication(all_0_11_11, all_0_8_8) = all_335_0_196
% 24.50/7.48 | (635) multiplication(all_0_11_11, all_0_10_10) = all_335_1_197
% 24.50/7.48 | (636) addition(all_335_1_197, all_335_0_196) = all_0_10_10
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (315) with all_337_0_198, all_337_1_199 yields:
% 24.50/7.48 | (637) multiplication(all_0_9_9, all_0_8_8) = all_337_0_198 & multiplication(all_0_9_9, all_0_10_10) = all_337_1_199 & addition(all_337_1_199, all_337_0_198) = all_0_8_8
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (637) yields:
% 24.50/7.48 | (638) multiplication(all_0_9_9, all_0_8_8) = all_337_0_198
% 24.50/7.48 | (639) multiplication(all_0_9_9, all_0_10_10) = all_337_1_199
% 24.50/7.48 | (640) addition(all_337_1_199, all_337_0_198) = all_0_8_8
% 24.50/7.48 |
% 24.50/7.48 | Instantiating (283) with all_339_0_200 yields:
% 24.50/7.48 | (641) addition(all_39_0_27, all_339_0_200) = all_0_0_0 & addition(all_0_8_8, all_0_4_4) = all_339_0_200
% 24.50/7.48 |
% 24.50/7.48 | Applying alpha-rule on (641) yields:
% 24.50/7.48 | (642) addition(all_39_0_27, all_339_0_200) = all_0_0_0
% 24.50/7.48 | (643) addition(all_0_8_8, all_0_4_4) = all_339_0_200
% 24.50/7.48 |
% 24.50/7.48 +-Applying beta-rule and splitting (322), into two cases.
% 24.50/7.48 |-Branch one:
% 24.50/7.48 | (644) complement(all_0_9_9, all_0_11_11)
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_25_0_25, all_181_2_98, all_0_1_1 and discharging atoms c(all_25_0_25) = all_181_2_98, c(all_25_0_25) = all_0_1_1, yields:
% 24.50/7.48 | (645) all_181_2_98 = all_0_1_1
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_19_2_20, all_241_2_136, all_245_2_140 and discharging atoms c(all_19_2_20) = all_245_2_140, c(all_19_2_20) = all_241_2_136, yields:
% 24.50/7.48 | (646) all_245_2_140 = all_241_2_136
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_4_4, all_241_0_134, all_245_1_139 and discharging atoms c(all_0_4_4) = all_245_1_139, c(all_0_4_4) = all_241_0_134, yields:
% 24.50/7.48 | (647) all_245_1_139 = all_241_0_134
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_4_4, all_173_1_91, all_241_0_134 and discharging atoms c(all_0_4_4) = all_241_0_134, c(all_0_4_4) = all_173_1_91, yields:
% 24.50/7.48 | (648) all_241_0_134 = all_173_1_91
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_4_4, all_171_0_87, all_245_1_139 and discharging atoms c(all_0_4_4) = all_245_1_139, c(all_0_4_4) = all_171_0_87, yields:
% 24.50/7.48 | (649) all_245_1_139 = all_171_0_87
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_4_4, all_133_1_66, all_173_1_91 and discharging atoms c(all_0_4_4) = all_173_1_91, c(all_0_4_4) = all_133_1_66, yields:
% 24.50/7.48 | (650) all_173_1_91 = all_133_1_66
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_9_9, all_253_1_146, all_257_0_149 and discharging atoms c(all_0_9_9) = all_257_0_149, c(all_0_9_9) = all_253_1_146, yields:
% 24.50/7.48 | (651) all_257_0_149 = all_253_1_146
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_9_9, all_241_1_135, all_253_1_146 and discharging atoms c(all_0_9_9) = all_253_1_146, c(all_0_9_9) = all_241_1_135, yields:
% 24.50/7.48 | (652) all_253_1_146 = all_241_1_135
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_9_9, all_241_1_135, all_245_0_138 and discharging atoms c(all_0_9_9) = all_245_0_138, c(all_0_9_9) = all_241_1_135, yields:
% 24.50/7.48 | (653) all_245_0_138 = all_241_1_135
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_9_9, all_239_1_132, all_245_0_138 and discharging atoms c(all_0_9_9) = all_245_0_138, c(all_0_9_9) = all_239_1_132, yields:
% 24.50/7.48 | (654) all_245_0_138 = all_239_1_132
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_9_9, all_133_0_65, all_257_0_149 and discharging atoms c(all_0_9_9) = all_257_0_149, c(all_0_9_9) = all_133_0_65, yields:
% 24.50/7.48 | (655) all_257_0_149 = all_133_0_65
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_11_11, all_257_1_150, all_0_9_9 and discharging atoms c(all_0_11_11) = all_257_1_150, c(all_0_11_11) = all_0_9_9, yields:
% 24.50/7.48 | (656) all_257_1_150 = all_0_9_9
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_11_11, all_239_0_131, all_257_1_150 and discharging atoms c(all_0_11_11) = all_257_1_150, c(all_0_11_11) = all_239_0_131, yields:
% 24.50/7.48 | (657) all_257_1_150 = all_239_0_131
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_11_11, all_181_1_97, all_239_0_131 and discharging atoms c(all_0_11_11) = all_239_0_131, c(all_0_11_11) = all_181_1_97, yields:
% 24.50/7.48 | (658) all_239_0_131 = all_181_1_97
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_11_11, all_173_0_90, all_181_1_97 and discharging atoms c(all_0_11_11) = all_181_1_97, c(all_0_11_11) = all_173_0_90, yields:
% 24.50/7.48 | (659) all_181_1_97 = all_173_0_90
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_12_12, all_253_0_145, all_0_4_4 and discharging atoms c(all_0_12_12) = all_253_0_145, c(all_0_12_12) = all_0_4_4, yields:
% 24.50/7.48 | (660) all_253_0_145 = all_0_4_4
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_12_12, all_181_0_96, all_253_0_145 and discharging atoms c(all_0_12_12) = all_253_0_145, c(all_0_12_12) = all_181_0_96, yields:
% 24.50/7.48 | (661) all_253_0_145 = all_181_0_96
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with all_0_12_12, all_171_1_88, all_253_0_145 and discharging atoms c(all_0_12_12) = all_253_0_145, c(all_0_12_12) = all_171_1_88, yields:
% 24.50/7.48 | (662) all_253_0_145 = all_171_1_88
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (29) with one, all_239_2_133, all_257_2_151 and discharging atoms c(one) = all_257_2_151, c(one) = all_239_2_133, yields:
% 24.50/7.48 | (663) all_257_2_151 = all_239_2_133
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (45) with all_0_1_1, all_0_11_11, all_215_1_116, all_227_0_124 and discharging atoms multiplication(all_0_1_1, all_0_11_11) = all_227_0_124, multiplication(all_0_1_1, all_0_11_11) = all_215_1_116, yields:
% 24.50/7.48 | (664) all_227_0_124 = all_215_1_116
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (18) with all_249_1_143, all_0_1_1 and discharging atoms multiplication(all_0_1_1, one) = all_249_1_143, yields:
% 24.50/7.48 | (665) all_249_1_143 = all_0_1_1
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (45) with all_0_3_3, all_0_9_9, all_217_0_117, all_221_1_121 and discharging atoms multiplication(all_0_3_3, all_0_9_9) = all_221_1_121, multiplication(all_0_3_3, all_0_9_9) = all_217_0_117, yields:
% 24.50/7.48 | (666) all_221_1_121 = all_217_0_117
% 24.50/7.48 |
% 24.50/7.48 | Instantiating formula (45) with all_0_3_3, all_0_11_11, all_215_0_115, all_227_1_125 and discharging atoms multiplication(all_0_3_3, all_0_11_11) = all_227_1_125, multiplication(all_0_3_3, all_0_11_11) = all_215_0_115, yields:
% 24.50/7.48 | (667) all_227_1_125 = all_215_0_115
% 24.50/7.48 |
% 24.50/7.49 | Instantiating formula (18) with all_249_0_142, all_0_3_3 and discharging atoms multiplication(all_0_3_3, one) = all_249_0_142, yields:
% 24.50/7.49 | (668) all_249_0_142 = all_0_3_3
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (45) with all_0_3_3, one, all_159_1_81, all_249_0_142 and discharging atoms multiplication(all_0_3_3, one) = all_249_0_142, multiplication(all_0_3_3, one) = all_159_1_81, yields:
% 24.50/7.49 | (669) all_249_0_142 = all_159_1_81
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (45) with all_0_8_8, all_0_11_11, all_283_0_165, all_295_1_176 and discharging atoms multiplication(all_0_8_8, all_0_11_11) = all_295_1_176, multiplication(all_0_8_8, all_0_11_11) = all_283_0_165, yields:
% 24.50/7.49 | (670) all_295_1_176 = all_283_0_165
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (45) with all_0_9_9, all_0_8_8, all_293_1_174, all_337_0_198 and discharging atoms multiplication(all_0_9_9, all_0_8_8) = all_337_0_198, multiplication(all_0_9_9, all_0_8_8) = all_293_1_174, yields:
% 24.50/7.49 | (671) all_337_0_198 = all_293_1_174
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (45) with all_0_9_9, all_0_10_10, all_293_0_173, all_337_1_199 and discharging atoms multiplication(all_0_9_9, all_0_10_10) = all_337_1_199, multiplication(all_0_9_9, all_0_10_10) = all_293_0_173, yields:
% 24.50/7.49 | (672) all_337_1_199 = all_293_0_173
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (18) with all_119_0_58, all_0_9_9 and discharging atoms multiplication(all_0_9_9, one) = all_119_0_58, yields:
% 24.50/7.49 | (673) all_119_0_58 = all_0_9_9
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (45) with all_0_10_10, all_0_11_11, all_283_1_166, all_295_0_175 and discharging atoms multiplication(all_0_10_10, all_0_11_11) = all_295_0_175, multiplication(all_0_10_10, all_0_11_11) = all_283_1_166, yields:
% 24.50/7.49 | (674) all_295_0_175 = all_283_1_166
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (45) with all_0_11_11, all_0_8_8, all_289_1_171, all_335_0_196 and discharging atoms multiplication(all_0_11_11, all_0_8_8) = all_335_0_196, multiplication(all_0_11_11, all_0_8_8) = all_289_1_171, yields:
% 24.50/7.49 | (675) all_335_0_196 = all_289_1_171
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (45) with all_0_11_11, all_0_10_10, all_289_0_170, all_335_1_197 and discharging atoms multiplication(all_0_11_11, all_0_10_10) = all_335_1_197, multiplication(all_0_11_11, all_0_10_10) = all_289_0_170, yields:
% 24.50/7.49 | (676) all_335_1_197 = all_289_0_170
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (18) with all_113_0_55, all_0_11_11 and discharging atoms multiplication(all_0_11_11, one) = all_113_0_55, yields:
% 24.50/7.49 | (677) all_113_0_55 = all_0_11_11
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (38) with all_0_6_6, all_107_0_52 and discharging atoms multiplication(one, all_107_0_52) = all_0_6_6, yields:
% 24.50/7.49 | (678) all_107_0_52 = all_0_6_6
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (38) with all_287_1_169, all_0_8_8 and discharging atoms multiplication(one, all_0_8_8) = all_287_1_169, yields:
% 24.50/7.49 | (679) all_287_1_169 = all_0_8_8
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (45) with one, all_0_8_8, all_277_0_161, all_287_1_169 and discharging atoms multiplication(one, all_0_8_8) = all_287_1_169, multiplication(one, all_0_8_8) = all_277_0_161, yields:
% 24.50/7.49 | (680) all_287_1_169 = all_277_0_161
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (38) with all_329_0_193, all_0_9_9 and discharging atoms multiplication(one, all_0_9_9) = all_329_0_193, yields:
% 24.50/7.49 | (681) all_329_0_193 = all_0_9_9
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (38) with all_287_0_168, all_0_10_10 and discharging atoms multiplication(one, all_0_10_10) = all_287_0_168, yields:
% 24.50/7.49 | (682) all_287_0_168 = all_0_10_10
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (45) with one, all_0_10_10, all_277_1_162, all_287_0_168 and discharging atoms multiplication(one, all_0_10_10) = all_287_0_168, multiplication(one, all_0_10_10) = all_277_1_162, yields:
% 24.50/7.49 | (683) all_287_0_168 = all_277_1_162
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (38) with all_123_0_60, all_0_11_11 and discharging atoms multiplication(one, all_0_11_11) = all_123_0_60, yields:
% 24.50/7.49 | (684) all_123_0_60 = all_0_11_11
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_11_0_14, all_0_8_8, all_61_0_38, all_199_0_107 and discharging atoms addition(all_11_0_14, all_0_8_8) = all_199_0_107, addition(all_11_0_14, all_0_8_8) = all_61_0_38, yields:
% 24.50/7.49 | (685) all_199_0_107 = all_61_0_38
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_11_0_14, all_0_10_10, all_69_0_42, all_275_0_160 and discharging atoms addition(all_11_0_14, all_0_10_10) = all_275_0_160, addition(all_11_0_14, all_0_10_10) = all_69_0_42, yields:
% 24.50/7.49 | (686) all_275_0_160 = all_69_0_42
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_9_0_13, all_0_1_1, all_219_0_119, all_231_0_127 and discharging atoms addition(all_9_0_13, all_0_1_1) = all_231_0_127, addition(all_9_0_13, all_0_1_1) = all_219_0_119, yields:
% 24.50/7.49 | (687) all_231_0_127 = all_219_0_119
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_9_0_13, all_0_1_1, all_99_0_48, all_231_0_127 and discharging atoms addition(all_9_0_13, all_0_1_1) = all_231_0_127, addition(all_9_0_13, all_0_1_1) = all_99_0_48, yields:
% 24.50/7.49 | (688) all_231_0_127 = all_99_0_48
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_9_0_13, all_0_3_3, all_157_0_79, all_77_0_46 and discharging atoms addition(all_9_0_13, all_0_3_3) = all_157_0_79, addition(all_9_0_13, all_0_3_3) = all_77_0_46, yields:
% 24.50/7.49 | (689) all_157_0_79 = all_77_0_46
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_1_1, all_11_0_14, all_73_0_44, all_117_0_57 and discharging atoms addition(all_0_1_1, all_11_0_14) = all_117_0_57, addition(all_0_1_1, all_11_0_14) = all_73_0_44, yields:
% 24.50/7.49 | (690) all_117_0_57 = all_73_0_44
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_1_1, all_0_8_8, all_185_0_100, all_325_0_191 and discharging atoms addition(all_0_1_1, all_0_8_8) = all_325_0_191, addition(all_0_1_1, all_0_8_8) = all_185_0_100, yields:
% 24.50/7.49 | (691) all_325_0_191 = all_185_0_100
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_1_1, all_0_8_8, all_141_0_71, all_325_0_191 and discharging atoms addition(all_0_1_1, all_0_8_8) = all_325_0_191, addition(all_0_1_1, all_0_8_8) = all_141_0_71, yields:
% 24.50/7.49 | (692) all_325_0_191 = all_141_0_71
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_1_1, all_0_10_10, all_225_0_123, all_299_0_178 and discharging atoms addition(all_0_1_1, all_0_10_10) = all_299_0_178, addition(all_0_1_1, all_0_10_10) = all_225_0_123, yields:
% 24.50/7.49 | (693) all_299_0_178 = all_225_0_123
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_1_1, all_0_12_12, all_145_0_73, all_65_0_40 and discharging atoms addition(all_0_1_1, all_0_12_12) = all_145_0_73, addition(all_0_1_1, all_0_12_12) = all_65_0_40, yields:
% 24.50/7.49 | (694) all_145_0_73 = all_65_0_40
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_3_3, all_9_0_13, all_77_0_46, all_251_0_144 and discharging atoms addition(all_0_3_3, all_9_0_13) = all_251_0_144, addition(all_0_3_3, all_9_0_13) = all_77_0_46, yields:
% 24.50/7.49 | (695) all_251_0_144 = all_77_0_46
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_3_3, all_0_1_1, all_203_0_109, all_0_4_4 and discharging atoms addition(all_0_3_3, all_0_1_1) = all_203_0_109, addition(all_0_3_3, all_0_1_1) = all_0_4_4, yields:
% 24.50/7.49 | (696) all_203_0_109 = all_0_4_4
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_3_3, all_0_8_8, all_131_0_64, all_183_0_99 and discharging atoms addition(all_0_3_3, all_0_8_8) = all_183_0_99, addition(all_0_3_3, all_0_8_8) = all_131_0_64, yields:
% 24.50/7.49 | (697) all_183_0_99 = all_131_0_64
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_3_3, all_0_10_10, all_297_0_177, all_75_0_45 and discharging atoms addition(all_0_3_3, all_0_10_10) = all_297_0_177, addition(all_0_3_3, all_0_10_10) = all_75_0_45, yields:
% 24.50/7.49 | (698) all_297_0_177 = all_75_0_45
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_3_3, all_0_12_12, all_111_0_54, all_45_0_30 and discharging atoms addition(all_0_3_3, all_0_12_12) = all_111_0_54, addition(all_0_3_3, all_0_12_12) = all_45_0_30, yields:
% 24.50/7.49 | (699) all_111_0_54 = all_45_0_30
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_3_3, all_0_12_12, all_41_0_28, all_111_0_54 and discharging atoms addition(all_0_3_3, all_0_12_12) = all_111_0_54, addition(all_0_3_3, all_0_12_12) = all_41_0_28, yields:
% 24.50/7.49 | (700) all_111_0_54 = all_41_0_28
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_4_4, all_0_12_12, all_261_0_153, all_323_0_190 and discharging atoms addition(all_0_4_4, all_0_12_12) = all_323_0_190, addition(all_0_4_4, all_0_12_12) = all_261_0_153, yields:
% 24.50/7.49 | (701) all_323_0_190 = all_261_0_153
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (33) with all_261_0_153, all_0_12_12, all_0_4_4 and discharging atoms addition(all_0_4_4, all_0_12_12) = all_261_0_153, complement(all_0_12_12, all_0_4_4), yields:
% 24.50/7.49 | (702) all_261_0_153 = one
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_4_4, all_0_12_12, all_43_0_29, all_323_0_190 and discharging atoms addition(all_0_4_4, all_0_12_12) = all_323_0_190, addition(all_0_4_4, all_0_12_12) = all_43_0_29, yields:
% 24.50/7.49 | (703) all_323_0_190 = all_43_0_29
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_5_5, all_0_1_1, all_137_0_69, all_47_0_31 and discharging atoms addition(all_0_5_5, all_0_1_1) = all_137_0_69, addition(all_0_5_5, all_0_1_1) = all_47_0_31, yields:
% 24.50/7.49 | (704) all_137_0_69 = all_47_0_31
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_5_5, all_0_1_1, all_57_0_36, all_137_0_69 and discharging atoms addition(all_0_5_5, all_0_1_1) = all_137_0_69, addition(all_0_5_5, all_0_1_1) = all_57_0_36, yields:
% 24.50/7.49 | (705) all_137_0_69 = all_57_0_36
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_6_6, all_0_3_3, all_313_0_185, all_11_0_14 and discharging atoms addition(all_0_6_6, all_0_3_3) = all_313_0_185, addition(all_0_6_6, all_0_3_3) = all_11_0_14, yields:
% 24.50/7.49 | (706) all_313_0_185 = all_11_0_14
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_6_6, all_0_3_3, all_109_0_53, all_313_0_185 and discharging atoms addition(all_0_6_6, all_0_3_3) = all_313_0_185, addition(all_0_6_6, all_0_3_3) = all_109_0_53, yields:
% 24.50/7.49 | (707) all_313_0_185 = all_109_0_53
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_6_6, all_0_4_4, all_161_0_82, all_49_0_32 and discharging atoms addition(all_0_6_6, all_0_4_4) = all_161_0_82, addition(all_0_6_6, all_0_4_4) = all_49_0_32, yields:
% 24.50/7.49 | (708) all_161_0_82 = all_49_0_32
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_6_6, all_0_10_10, all_147_0_74, all_39_0_27 and discharging atoms addition(all_0_6_6, all_0_10_10) = all_147_0_74, addition(all_0_6_6, all_0_10_10) = all_39_0_27, yields:
% 24.50/7.49 | (709) all_147_0_74 = all_39_0_27
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_6_6, all_0_10_10, all_51_0_33, all_147_0_74 and discharging atoms addition(all_0_6_6, all_0_10_10) = all_147_0_74, addition(all_0_6_6, all_0_10_10) = all_51_0_33, yields:
% 24.50/7.49 | (710) all_147_0_74 = all_51_0_33
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_8_8, all_0_3_3, all_301_0_179, all_307_0_182 and discharging atoms addition(all_0_8_8, all_0_3_3) = all_307_0_182, addition(all_0_8_8, all_0_3_3) = all_301_0_179, yields:
% 24.50/7.49 | (711) all_307_0_182 = all_301_0_179
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_8_8, all_0_3_3, all_291_0_172, all_307_0_182 and discharging atoms addition(all_0_8_8, all_0_3_3) = all_307_0_182, addition(all_0_8_8, all_0_3_3) = all_291_0_172, yields:
% 24.50/7.49 | (712) all_307_0_182 = all_291_0_172
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_8_8, all_0_3_3, all_163_0_83, all_301_0_179 and discharging atoms addition(all_0_8_8, all_0_3_3) = all_301_0_179, addition(all_0_8_8, all_0_3_3) = all_163_0_83, yields:
% 24.50/7.49 | (713) all_301_0_179 = all_163_0_83
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_8_8, all_0_4_4, all_193_0_104, all_339_0_200 and discharging atoms addition(all_0_8_8, all_0_4_4) = all_339_0_200, addition(all_0_8_8, all_0_4_4) = all_193_0_104, yields:
% 24.50/7.49 | (714) all_339_0_200 = all_193_0_104
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_8_8, all_0_4_4, all_175_0_93, all_339_0_200 and discharging atoms addition(all_0_8_8, all_0_4_4) = all_339_0_200, addition(all_0_8_8, all_0_4_4) = all_175_0_93, yields:
% 24.50/7.49 | (715) all_339_0_200 = all_175_0_93
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_8_8, all_0_6_6, all_279_0_163, all_9_0_13 and discharging atoms addition(all_0_8_8, all_0_6_6) = all_279_0_163, addition(all_0_8_8, all_0_6_6) = all_9_0_13, yields:
% 24.50/7.49 | (716) all_279_0_163 = all_9_0_13
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_10_10, all_0_3_3, all_267_0_156, all_315_0_186 and discharging atoms addition(all_0_10_10, all_0_3_3) = all_315_0_186, addition(all_0_10_10, all_0_3_3) = all_267_0_156, yields:
% 24.50/7.49 | (717) all_315_0_186 = all_267_0_156
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_10_10, all_0_3_3, all_149_0_75, all_315_0_186 and discharging atoms addition(all_0_10_10, all_0_3_3) = all_315_0_186, addition(all_0_10_10, all_0_3_3) = all_149_0_75, yields:
% 24.50/7.49 | (718) all_315_0_186 = all_149_0_75
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_10_10, all_0_3_3, all_75_0_45, all_267_0_156 and discharging atoms addition(all_0_10_10, all_0_3_3) = all_267_0_156, addition(all_0_10_10, all_0_3_3) = all_75_0_45, yields:
% 24.50/7.49 | (719) all_267_0_156 = all_75_0_45
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_10_10, all_0_6_6, all_319_0_188, all_51_0_33 and discharging atoms addition(all_0_10_10, all_0_6_6) = all_319_0_188, addition(all_0_10_10, all_0_6_6) = all_51_0_33, yields:
% 24.50/7.49 | (720) all_319_0_188 = all_51_0_33
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_12_12, all_0_1_1, all_167_0_85, all_197_0_106 and discharging atoms addition(all_0_12_12, all_0_1_1) = all_197_0_106, addition(all_0_12_12, all_0_1_1) = all_167_0_85, yields:
% 24.50/7.49 | (721) all_197_0_106 = all_167_0_85
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_12_12, all_0_1_1, all_101_0_49, all_167_0_85 and discharging atoms addition(all_0_12_12, all_0_1_1) = all_167_0_85, addition(all_0_12_12, all_0_1_1) = all_101_0_49, yields:
% 24.50/7.49 | (722) all_167_0_85 = all_101_0_49
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_12_12, all_0_1_1, all_65_0_40, all_197_0_106 and discharging atoms addition(all_0_12_12, all_0_1_1) = all_197_0_106, addition(all_0_12_12, all_0_1_1) = all_65_0_40, yields:
% 24.50/7.49 | (723) all_197_0_106 = all_65_0_40
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_12_12, all_0_3_3, all_195_0_105, all_317_0_187 and discharging atoms addition(all_0_12_12, all_0_3_3) = all_317_0_187, addition(all_0_12_12, all_0_3_3) = all_195_0_105, yields:
% 24.50/7.49 | (724) all_317_0_187 = all_195_0_105
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (19) with all_0_12_12, all_0_3_3, all_45_0_30, all_317_0_187 and discharging atoms addition(all_0_12_12, all_0_3_3) = all_317_0_187, addition(all_0_12_12, all_0_3_3) = all_45_0_30, yields:
% 24.50/7.49 | (725) all_317_0_187 = all_45_0_30
% 24.50/7.49 |
% 24.50/7.49 | Instantiating formula (22) with all_245_0_138, all_0_11_11, all_0_9_9 and discharging atoms c(all_0_9_9) = all_245_0_138, complement(all_0_9_9, all_0_11_11), test(all_0_9_9), yields:
% 24.50/7.49 | (726) all_245_0_138 = all_0_11_11
% 24.50/7.49 |
% 24.50/7.49 | Combining equations (714,715) yields a new equation:
% 24.50/7.49 | (727) all_193_0_104 = all_175_0_93
% 24.50/7.49 |
% 24.50/7.49 | Simplifying 727 yields:
% 24.50/7.49 | (728) all_193_0_104 = all_175_0_93
% 24.50/7.49 |
% 24.50/7.49 | Combining equations (692,691) yields a new equation:
% 24.50/7.49 | (729) all_185_0_100 = all_141_0_71
% 24.50/7.49 |
% 24.50/7.50 | Combining equations (701,703) yields a new equation:
% 24.50/7.50 | (730) all_261_0_153 = all_43_0_29
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 730 yields:
% 24.50/7.50 | (731) all_261_0_153 = all_43_0_29
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (724,725) yields a new equation:
% 24.50/7.50 | (732) all_195_0_105 = all_45_0_30
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 732 yields:
% 24.50/7.50 | (733) all_195_0_105 = all_45_0_30
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (717,718) yields a new equation:
% 24.50/7.50 | (734) all_267_0_156 = all_149_0_75
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 734 yields:
% 24.50/7.50 | (735) all_267_0_156 = all_149_0_75
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (707,706) yields a new equation:
% 24.50/7.50 | (736) all_109_0_53 = all_11_0_14
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 736 yields:
% 24.50/7.50 | (737) all_109_0_53 = all_11_0_14
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (711,712) yields a new equation:
% 24.50/7.50 | (738) all_301_0_179 = all_291_0_172
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 738 yields:
% 24.50/7.50 | (739) all_301_0_179 = all_291_0_172
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (713,739) yields a new equation:
% 24.50/7.50 | (740) all_291_0_172 = all_163_0_83
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (682,683) yields a new equation:
% 24.50/7.50 | (741) all_277_1_162 = all_0_10_10
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (680,679) yields a new equation:
% 24.50/7.50 | (742) all_277_0_161 = all_0_8_8
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 742 yields:
% 24.50/7.50 | (743) all_277_0_161 = all_0_8_8
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (719,735) yields a new equation:
% 24.50/7.50 | (744) all_149_0_75 = all_75_0_45
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (702,731) yields a new equation:
% 24.50/7.50 | (745) all_43_0_29 = one
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (651,655) yields a new equation:
% 24.50/7.50 | (746) all_253_1_146 = all_133_0_65
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 746 yields:
% 24.50/7.50 | (747) all_253_1_146 = all_133_0_65
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (657,656) yields a new equation:
% 24.50/7.50 | (748) all_239_0_131 = all_0_9_9
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 748 yields:
% 24.50/7.50 | (749) all_239_0_131 = all_0_9_9
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (660,661) yields a new equation:
% 24.50/7.50 | (750) all_181_0_96 = all_0_4_4
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (662,661) yields a new equation:
% 24.50/7.50 | (751) all_181_0_96 = all_171_1_88
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (652,747) yields a new equation:
% 24.50/7.50 | (752) all_241_1_135 = all_133_0_65
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 752 yields:
% 24.50/7.50 | (753) all_241_1_135 = all_133_0_65
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (668,669) yields a new equation:
% 24.50/7.50 | (754) all_159_1_81 = all_0_3_3
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (726,654) yields a new equation:
% 24.50/7.50 | (755) all_239_1_132 = all_0_11_11
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (653,654) yields a new equation:
% 24.50/7.50 | (756) all_241_1_135 = all_239_1_132
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 756 yields:
% 24.50/7.50 | (757) all_241_1_135 = all_239_1_132
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (647,649) yields a new equation:
% 24.50/7.50 | (758) all_241_0_134 = all_171_0_87
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 758 yields:
% 24.50/7.50 | (759) all_241_0_134 = all_171_0_87
% 24.50/7.50 |
% 24.50/7.50 | Combining equations (648,759) yields a new equation:
% 24.50/7.50 | (760) all_173_1_91 = all_171_0_87
% 24.50/7.50 |
% 24.50/7.50 | Simplifying 760 yields:
% 24.93/7.50 | (761) all_173_1_91 = all_171_0_87
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (757,753) yields a new equation:
% 24.93/7.50 | (762) all_239_1_132 = all_133_0_65
% 24.93/7.50 |
% 24.93/7.50 | Simplifying 762 yields:
% 24.93/7.50 | (763) all_239_1_132 = all_133_0_65
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (658,749) yields a new equation:
% 24.93/7.50 | (764) all_181_1_97 = all_0_9_9
% 24.93/7.50 |
% 24.93/7.50 | Simplifying 764 yields:
% 24.93/7.50 | (765) all_181_1_97 = all_0_9_9
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (755,763) yields a new equation:
% 24.93/7.50 | (766) all_133_0_65 = all_0_11_11
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (687,688) yields a new equation:
% 24.93/7.50 | (767) all_219_0_119 = all_99_0_48
% 24.93/7.50 |
% 24.93/7.50 | Simplifying 767 yields:
% 24.93/7.50 | (768) all_219_0_119 = all_99_0_48
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (721,723) yields a new equation:
% 24.93/7.50 | (769) all_167_0_85 = all_65_0_40
% 24.93/7.50 |
% 24.93/7.50 | Simplifying 769 yields:
% 24.93/7.50 | (770) all_167_0_85 = all_65_0_40
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (750,751) yields a new equation:
% 24.93/7.50 | (771) all_171_1_88 = all_0_4_4
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (659,765) yields a new equation:
% 24.93/7.50 | (772) all_173_0_90 = all_0_9_9
% 24.93/7.50 |
% 24.93/7.50 | Simplifying 772 yields:
% 24.93/7.50 | (773) all_173_0_90 = all_0_9_9
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (650,761) yields a new equation:
% 24.93/7.50 | (774) all_171_0_87 = all_133_1_66
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (722,770) yields a new equation:
% 24.93/7.50 | (775) all_101_0_49 = all_65_0_40
% 24.93/7.50 |
% 24.93/7.50 | Simplifying 775 yields:
% 24.93/7.50 | (776) all_101_0_49 = all_65_0_40
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (709,710) yields a new equation:
% 24.93/7.50 | (777) all_51_0_33 = all_39_0_27
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (705,704) yields a new equation:
% 24.93/7.50 | (778) all_57_0_36 = all_47_0_31
% 24.93/7.50 |
% 24.93/7.50 | Simplifying 778 yields:
% 24.93/7.50 | (779) all_57_0_36 = all_47_0_31
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (699,700) yields a new equation:
% 24.93/7.50 | (780) all_45_0_30 = all_41_0_28
% 24.93/7.50 |
% 24.93/7.50 | Simplifying 780 yields:
% 24.93/7.50 | (781) all_45_0_30 = all_41_0_28
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (771,751) yields a new equation:
% 24.93/7.50 | (750) all_181_0_96 = all_0_4_4
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (781,733) yields a new equation:
% 24.93/7.50 | (783) all_195_0_105 = all_41_0_28
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (766,763) yields a new equation:
% 24.93/7.50 | (755) all_239_1_132 = all_0_11_11
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (766,753) yields a new equation:
% 24.93/7.50 | (785) all_241_1_135 = all_0_11_11
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (774,759) yields a new equation:
% 24.93/7.50 | (786) all_241_0_134 = all_133_1_66
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (774,649) yields a new equation:
% 24.93/7.50 | (787) all_245_1_139 = all_133_1_66
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (755,654) yields a new equation:
% 24.93/7.50 | (726) all_245_0_138 = all_0_11_11
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (754,669) yields a new equation:
% 24.93/7.50 | (668) all_249_0_142 = all_0_3_3
% 24.93/7.50 |
% 24.93/7.50 | Combining equations (766,747) yields a new equation:
% 24.93/7.50 | (790) all_253_1_146 = all_0_11_11
% 24.93/7.50 |
% 24.93/7.51 | Combining equations (750,661) yields a new equation:
% 24.93/7.51 | (660) all_253_0_145 = all_0_4_4
% 24.93/7.51 |
% 24.93/7.51 | Combining equations (766,655) yields a new equation:
% 24.93/7.51 | (792) all_257_0_149 = all_0_11_11
% 24.93/7.51 |
% 24.93/7.51 | Combining equations (744,735) yields a new equation:
% 24.93/7.51 | (719) all_267_0_156 = all_75_0_45
% 24.93/7.51 |
% 24.93/7.51 | Combining equations (740,739) yields a new equation:
% 24.93/7.51 | (713) all_301_0_179 = all_163_0_83
% 24.93/7.51 |
% 24.93/7.51 | Combining equations (744,718) yields a new equation:
% 24.93/7.51 | (795) all_315_0_186 = all_75_0_45
% 24.93/7.51 |
% 24.93/7.51 | Combining equations (777,720) yields a new equation:
% 24.93/7.51 | (796) all_319_0_188 = all_39_0_27
% 24.93/7.51 |
% 24.93/7.51 | From (774) and (431) follows:
% 24.93/7.51 | (392) c(all_0_4_4) = all_133_1_66
% 24.93/7.51 |
% 24.93/7.51 | From (766) and (393) follows:
% 24.93/7.51 | (798) c(all_0_9_9) = all_0_11_11
% 24.93/7.51 |
% 24.93/7.51 | From (773) and (437) follows:
% 24.93/7.51 | (36) c(all_0_11_11) = all_0_9_9
% 24.93/7.51 |
% 24.93/7.51 | From (656)(792)(663) and (542) follows:
% 24.93/7.51 | (800) multiplication(all_0_9_9, all_0_11_11) = all_239_2_133
% 24.93/7.51 |
% 24.93/7.51 | From (787)(726)(646) and (522) follows:
% 24.93/7.51 | (801) multiplication(all_133_1_66, all_0_11_11) = all_241_2_136
% 24.93/7.51 |
% 24.93/7.51 | From (785)(786) and (517) follows:
% 24.93/7.51 | (802) multiplication(all_0_11_11, all_133_1_66) = all_241_2_136
% 24.93/7.51 |
% 24.93/7.51 | From (755)(749) and (512) follows:
% 24.93/7.51 | (803) multiplication(all_0_11_11, all_0_9_9) = all_239_2_133
% 24.93/7.51 |
% 24.93/7.51 | From (765)(750)(645) and (452) follows:
% 24.93/7.51 | (804) multiplication(all_0_9_9, all_0_4_4) = all_0_1_1
% 24.93/7.51 |
% 24.93/7.51 | From (673) and (376) follows:
% 24.93/7.51 | (41) multiplication(all_0_9_9, all_0_12_12) = all_0_8_8
% 24.93/7.51 |
% 24.93/7.51 | From (677) and (370) follows:
% 24.93/7.51 | (16) multiplication(all_0_11_11, all_0_12_12) = all_0_10_10
% 24.93/7.51 |
% 24.93/7.51 | From (745) and (145) follows:
% 24.93/7.51 | (807) multiplication(one, all_0_11_11) = all_11_0_14
% 24.93/7.51 |
% 24.93/7.51 | From (664) and (502) follows:
% 24.93/7.51 | (484) multiplication(all_0_1_1, all_0_11_11) = all_215_1_116
% 24.93/7.51 |
% 24.93/7.51 | From (666) and (496) follows:
% 24.93/7.51 | (489) multiplication(all_0_3_3, all_0_9_9) = all_217_0_117
% 24.93/7.51 |
% 24.93/7.51 | From (667) and (503) follows:
% 24.93/7.51 | (485) multiplication(all_0_3_3, all_0_11_11) = all_215_0_115
% 24.93/7.51 |
% 24.93/7.51 | From (681) and (625) follows:
% 24.93/7.51 | (12) multiplication(all_0_4_4, all_0_9_9) = all_0_1_1
% 24.93/7.51 |
% 24.93/7.51 | From (684) and (379) follows:
% 24.93/7.51 | (6) multiplication(all_0_4_4, all_0_11_11) = all_0_3_3
% 24.93/7.51 |
% 24.93/7.51 | From (670) and (585) follows:
% 24.93/7.51 | (566) multiplication(all_0_8_8, all_0_11_11) = all_283_0_165
% 24.93/7.51 |
% 24.93/7.51 | From (672) and (639) follows:
% 24.93/7.51 | (582) multiplication(all_0_9_9, all_0_10_10) = all_293_0_173
% 24.93/7.51 |
% 24.93/7.51 | From (673) and (377) follows:
% 24.93/7.51 | (815) multiplication(all_0_9_9, one) = all_0_9_9
% 24.93/7.51 |
% 24.93/7.51 | From (674) and (586) follows:
% 24.93/7.51 | (567) multiplication(all_0_10_10, all_0_11_11) = all_283_1_166
% 24.93/7.51 |
% 24.93/7.51 | From (675) and (634) follows:
% 24.93/7.51 | (574) multiplication(all_0_11_11, all_0_8_8) = all_289_1_171
% 24.93/7.51 |
% 24.93/7.51 | From (676) and (635) follows:
% 24.93/7.51 | (575) multiplication(all_0_11_11, all_0_10_10) = all_289_0_170
% 24.93/7.51 |
% 24.93/7.51 | From (677) and (371) follows:
% 24.93/7.51 | (819) multiplication(all_0_11_11, one) = all_0_11_11
% 24.93/7.51 |
% 24.93/7.51 | From (678) and (361) follows:
% 24.93/7.51 | (26) multiplication(all_0_12_12, all_0_11_11) = all_0_6_6
% 24.93/7.51 |
% 24.93/7.51 | From (678) and (362) follows:
% 24.93/7.51 | (821) multiplication(one, all_0_6_6) = all_0_6_6
% 24.93/7.51 |
% 24.93/7.51 | From (681) and (626) follows:
% 24.93/7.51 | (822) multiplication(one, all_0_9_9) = all_0_9_9
% 24.93/7.51 |
% 24.93/7.51 | From (741) and (560) follows:
% 24.93/7.51 | (823) multiplication(one, all_0_10_10) = all_0_10_10
% 24.93/7.51 |
% 24.93/7.51 | From (684) and (380) follows:
% 24.93/7.51 | (824) multiplication(one, all_0_11_11) = all_0_11_11
% 24.93/7.51 |
% 24.93/7.51 | From (672)(671) and (640) follows:
% 24.93/7.51 | (825) addition(all_293_0_173, all_293_1_174) = all_0_8_8
% 24.93/7.51 |
% 24.93/7.51 | From (676)(675) and (636) follows:
% 24.93/7.51 | (826) addition(all_289_0_170, all_289_1_171) = all_0_10_10
% 24.93/7.51 |
% 24.93/7.51 | From (796) and (616) follows:
% 24.93/7.51 | (827) addition(all_39_0_27, all_0_3_3) = all_69_0_42
% 24.93/7.51 |
% 24.93/7.51 | From (693) and (592) follows:
% 24.93/7.51 | (828) addition(all_225_0_123, all_0_8_8) = all_65_0_40
% 24.93/7.51 |
% 24.93/7.51 | From (698)(781) and (589) follows:
% 24.93/7.51 | (829) addition(all_75_0_45, all_0_8_8) = all_41_0_28
% 24.93/7.51 |
% 24.93/7.51 | From (670)(674) and (587) follows:
% 24.93/7.51 | (830) addition(all_283_0_165, all_283_1_166) = all_0_6_6
% 24.93/7.51 |
% 24.93/7.51 | From (741)(743) and (561) follows:
% 24.93/7.51 | (241) addition(all_0_10_10, all_0_8_8) = all_0_12_12
% 24.93/7.51 |
% 24.93/7.51 | From (719) and (550) follows:
% 24.93/7.51 | (832) addition(all_75_0_45, all_0_6_6) = all_69_0_42
% 24.93/7.51 |
% 24.93/7.51 | From (790)(660) and (537) follows:
% 24.93/7.51 | (833) addition(all_0_11_11, all_0_4_4) = all_253_2_147
% 24.93/7.51 |
% 24.93/7.51 | From (665)(668) and (529) follows:
% 24.93/7.51 | (227) addition(all_0_1_1, all_0_3_3) = all_0_4_4
% 24.93/7.51 |
% 24.93/7.51 | From (723)(745) and (472) follows:
% 24.93/7.52 | (835) addition(all_65_0_40, all_0_3_3) = one
% 24.93/7.52 |
% 24.93/7.52 | From (783)(745) and (469) follows:
% 24.93/7.52 | (836) addition(all_41_0_28, all_0_1_1) = one
% 24.93/7.52 |
% 24.93/7.52 | From (689) and (414) follows:
% 24.93/7.52 | (837) addition(all_77_0_46, all_0_1_1) = all_67_0_41
% 24.93/7.52 |
% 24.93/7.52 | From (694)(779) and (402) follows:
% 24.93/7.52 | (838) addition(all_65_0_40, all_0_6_6) = all_47_0_31
% 24.93/7.52 |
% 24.93/7.52 | From (777) and (385) follows:
% 24.93/7.52 | (839) addition(all_39_0_27, all_0_3_3) = all_129_0_63
% 24.93/7.52 |
% 24.93/7.52 | From (685) and (476) follows:
% 24.93/7.52 | (299) addition(all_11_0_14, all_0_8_8) = all_61_0_38
% 24.93/7.52 |
% 24.93/7.52 | From (686) and (557) follows:
% 24.93/7.52 | (313) addition(all_11_0_14, all_0_10_10) = all_69_0_42
% 24.93/7.52 |
% 24.93/7.52 | From (768) and (492) follows:
% 24.93/7.52 | (353) addition(all_9_0_13, all_0_1_1) = all_99_0_48
% 24.93/7.52 |
% 24.93/7.52 | From (690) and (374) follows:
% 24.93/7.52 | (256) addition(all_0_1_1, all_11_0_14) = all_73_0_44
% 24.93/7.52 |
% 24.93/7.52 | From (729) and (458) follows:
% 24.93/7.52 | (400) addition(all_0_1_1, all_0_8_8) = all_141_0_71
% 24.93/7.52 |
% 24.93/7.52 | From (779) and (252) follows:
% 24.93/7.52 | (151) addition(all_0_3_3, all_47_0_31) = all_0_0_0
% 24.93/7.52 |
% 24.93/7.52 | From (695) and (532) follows:
% 24.93/7.52 | (261) addition(all_0_3_3, all_9_0_13) = all_77_0_46
% 24.93/7.52 |
% 24.93/7.52 | From (696) and (478) follows:
% 24.93/7.52 | (229) addition(all_0_3_3, all_0_1_1) = all_0_4_4
% 24.93/7.52 |
% 24.93/7.52 | From (697) and (455) follows:
% 24.93/7.52 | (389) addition(all_0_3_3, all_0_8_8) = all_131_0_64
% 24.93/7.52 |
% 24.93/7.52 | From (698) and (590) follows:
% 24.93/7.52 | (194) addition(all_0_3_3, all_0_10_10) = all_75_0_45
% 24.93/7.52 |
% 24.93/7.52 | From (745) and (337) follows:
% 24.93/7.52 | (850) addition(all_0_4_4, all_0_12_12) = one
% 24.93/7.52 |
% 24.93/7.52 | From (713) and (595) follows:
% 24.93/7.52 | (851) addition(all_0_6_6, all_163_0_83) = all_77_0_46
% 24.93/7.52 |
% 24.93/7.52 | From (696) and (479) follows:
% 24.93/7.52 | (852) addition(all_0_6_6, all_0_4_4) = all_73_0_44
% 24.93/7.52 |
% 24.93/7.52 | From (737) and (364) follows:
% 24.93/7.52 | (72) addition(all_0_6_6, all_0_3_3) = all_11_0_14
% 24.93/7.52 |
% 24.93/7.52 | From (708) and (421) follows:
% 24.93/7.52 | (232) addition(all_0_6_6, all_0_4_4) = all_49_0_32
% 24.93/7.52 |
% 24.93/7.52 | From (795) and (610) follows:
% 24.93/7.52 | (855) addition(all_0_8_8, all_75_0_45) = all_41_0_28
% 24.93/7.52 |
% 24.93/7.52 | From (708) and (422) follows:
% 24.93/7.52 | (856) addition(all_0_8_8, all_49_0_32) = all_67_0_41
% 24.93/7.52 |
% 24.93/7.52 | From (737) and (365) follows:
% 24.93/7.52 | (857) addition(all_0_8_8, all_11_0_14) = all_77_0_46
% 24.93/7.52 |
% 24.93/7.52 | From (740) and (578) follows:
% 24.93/7.52 | (425) addition(all_0_8_8, all_0_3_3) = all_163_0_83
% 24.93/7.52 |
% 24.93/7.52 | From (728) and (466) follows:
% 24.93/7.52 | (441) addition(all_0_8_8, all_0_4_4) = all_175_0_93
% 24.93/7.52 |
% 24.93/7.52 | From (716) and (564) follows:
% 24.93/7.52 | (69) addition(all_0_8_8, all_0_6_6) = all_9_0_13
% 24.93/7.52 |
% 24.93/7.52 | From (740) and (579) follows:
% 24.93/7.52 | (861) addition(all_0_10_10, all_163_0_83) = all_41_0_28
% 24.93/7.52 |
% 24.93/7.52 | From (728)(745) and (467) follows:
% 24.93/7.52 | (862) addition(all_0_10_10, all_175_0_93) = one
% 24.93/7.52 |
% 24.93/7.52 | From (744) and (409) follows:
% 24.93/7.52 | (279) addition(all_0_10_10, all_0_3_3) = all_75_0_45
% 24.93/7.52 |
% 24.93/7.52 | From (777) and (158) follows:
% 24.93/7.52 | (864) addition(all_0_10_10, all_0_6_6) = all_39_0_27
% 24.93/7.52 |
% 24.93/7.52 | From (776) and (356) follows:
% 24.93/7.52 | (272) addition(all_0_12_12, all_0_1_1) = all_65_0_40
% 24.93/7.52 |
% 24.93/7.52 | From (745) and (146) follows:
% 24.93/7.52 | (866) addition(all_0_12_12, all_0_4_4) = one
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (32) with all_239_2_133, all_0_11_11, all_0_9_9 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_239_2_133, complement(all_0_11_11, all_0_9_9), yields:
% 24.93/7.52 | (867) all_239_2_133 = zero
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (45) with one, all_0_11_11, all_0_11_11, all_11_0_14 and discharging atoms multiplication(one, all_0_11_11) = all_11_0_14, multiplication(one, all_0_11_11) = all_0_11_11, yields:
% 24.93/7.52 | (868) all_11_0_14 = all_0_11_11
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (19) with all_75_0_45, all_0_6_6, all_69_0_42, all_303_0_180 and discharging atoms addition(all_75_0_45, all_0_6_6) = all_303_0_180, addition(all_75_0_45, all_0_6_6) = all_69_0_42, yields:
% 24.93/7.52 | (869) all_303_0_180 = all_69_0_42
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (19) with all_75_0_45, all_0_8_8, all_41_0_28, all_97_0_47 and discharging atoms addition(all_75_0_45, all_0_8_8) = all_97_0_47, addition(all_75_0_45, all_0_8_8) = all_41_0_28, yields:
% 24.93/7.52 | (870) all_97_0_47 = all_41_0_28
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (19) with all_65_0_40, all_0_3_3, one, all_265_0_155 and discharging atoms addition(all_65_0_40, all_0_3_3) = all_265_0_155, addition(all_65_0_40, all_0_3_3) = one, yields:
% 24.93/7.52 | (871) all_265_0_155 = one
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (19) with all_65_0_40, all_0_6_6, all_47_0_31, all_103_0_50 and discharging atoms addition(all_65_0_40, all_0_6_6) = all_103_0_50, addition(all_65_0_40, all_0_6_6) = all_47_0_31, yields:
% 24.93/7.52 | (872) all_103_0_50 = all_47_0_31
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (19) with all_41_0_28, all_0_1_1, one, all_333_0_195 and discharging atoms addition(all_41_0_28, all_0_1_1) = all_333_0_195, addition(all_41_0_28, all_0_1_1) = one, yields:
% 24.93/7.52 | (873) all_333_0_195 = one
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (19) with all_39_0_27, all_0_3_3, all_69_0_42, all_129_0_63 and discharging atoms addition(all_39_0_27, all_0_3_3) = all_129_0_63, addition(all_39_0_27, all_0_3_3) = all_69_0_42, yields:
% 24.93/7.52 | (874) all_129_0_63 = all_69_0_42
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (19) with all_0_6_6, all_0_4_4, all_73_0_44, all_49_0_32 and discharging atoms addition(all_0_6_6, all_0_4_4) = all_73_0_44, addition(all_0_6_6, all_0_4_4) = all_49_0_32, yields:
% 24.93/7.52 | (875) all_73_0_44 = all_49_0_32
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (19) with all_0_8_8, all_49_0_32, all_67_0_41, all_177_0_94 and discharging atoms addition(all_0_8_8, all_49_0_32) = all_177_0_94, addition(all_0_8_8, all_49_0_32) = all_67_0_41, yields:
% 24.93/7.52 | (876) all_177_0_94 = all_67_0_41
% 24.93/7.52 |
% 24.93/7.52 | Instantiating formula (19) with all_0_8_8, all_11_0_14, all_77_0_46, all_61_0_38 and discharging atoms addition(all_0_8_8, all_11_0_14) = all_77_0_46, addition(all_0_8_8, all_11_0_14) = all_61_0_38, yields:
% 24.93/7.52 | (877) all_77_0_46 = all_61_0_38
% 24.93/7.52 |
% 24.93/7.52 | From (867) and (800) follows:
% 24.93/7.52 | (308) multiplication(all_0_9_9, all_0_11_11) = zero
% 24.93/7.52 |
% 24.93/7.52 | From (867) and (803) follows:
% 24.93/7.52 | (309) multiplication(all_0_11_11, all_0_9_9) = zero
% 24.93/7.52 |
% 24.93/7.52 | From (868) and (807) follows:
% 24.93/7.52 | (824) multiplication(one, all_0_11_11) = all_0_11_11
% 24.93/7.52 |
% 24.93/7.52 | From (872) and (358) follows:
% 24.93/7.52 | (881) addition(all_47_0_31, all_0_3_3) = all_0_0_0
% 24.93/7.52 |
% 24.93/7.52 | From (877) and (837) follows:
% 24.93/7.53 | (882) addition(all_61_0_38, all_0_1_1) = all_67_0_41
% 24.93/7.53 |
% 24.93/7.53 | From (869) and (599) follows:
% 24.93/7.53 | (832) addition(all_75_0_45, all_0_6_6) = all_69_0_42
% 24.93/7.53 |
% 24.93/7.53 | From (870) and (350) follows:
% 24.93/7.53 | (829) addition(all_75_0_45, all_0_8_8) = all_41_0_28
% 24.93/7.53 |
% 24.93/7.53 | From (871) and (548) follows:
% 24.93/7.53 | (835) addition(all_65_0_40, all_0_3_3) = one
% 24.93/7.53 |
% 24.93/7.53 | From (873) and (631) follows:
% 24.93/7.53 | (836) addition(all_41_0_28, all_0_1_1) = one
% 24.93/7.53 |
% 24.93/7.53 | From (874) and (839) follows:
% 24.93/7.53 | (827) addition(all_39_0_27, all_0_3_3) = all_69_0_42
% 24.93/7.53 |
% 24.93/7.53 | From (868) and (299) follows:
% 24.93/7.53 | (888) addition(all_0_11_11, all_0_8_8) = all_61_0_38
% 24.93/7.53 |
% 24.93/7.53 | From (868) and (313) follows:
% 24.93/7.53 | (889) addition(all_0_11_11, all_0_10_10) = all_69_0_42
% 24.93/7.53 |
% 24.93/7.53 | From (868)(875) and (256) follows:
% 24.93/7.53 | (890) addition(all_0_1_1, all_0_11_11) = all_49_0_32
% 24.93/7.53 |
% 24.93/7.53 | From (877) and (261) follows:
% 24.93/7.53 | (891) addition(all_0_3_3, all_9_0_13) = all_61_0_38
% 24.93/7.53 |
% 24.93/7.53 | From (877) and (851) follows:
% 24.93/7.53 | (892) addition(all_0_6_6, all_163_0_83) = all_61_0_38
% 24.93/7.53 |
% 24.93/7.53 | From (868) and (72) follows:
% 24.93/7.53 | (893) addition(all_0_6_6, all_0_3_3) = all_0_11_11
% 24.93/7.53 |
% 24.93/7.53 | From (875) and (852) follows:
% 24.93/7.53 | (232) addition(all_0_6_6, all_0_4_4) = all_49_0_32
% 24.93/7.53 |
% 24.93/7.53 | From (875) and (446) follows:
% 24.93/7.53 | (895) addition(all_0_8_8, all_49_0_32) = all_179_0_95
% 24.93/7.53 |
% 24.93/7.53 | From (876) and (443) follows:
% 24.93/7.53 | (856) addition(all_0_8_8, all_49_0_32) = all_67_0_41
% 24.93/7.53 |
% 24.93/7.53 | From (875) and (464) follows:
% 24.93/7.53 | (897) addition(all_0_10_10, all_49_0_32) = all_189_0_102
% 24.93/7.53 |
% 24.93/7.53 | From (868) and (237) follows:
% 24.93/7.53 | (898) addition(all_0_12_12, all_0_11_11) = all_0_2_2
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (19) with all_61_0_38, all_0_1_1, all_67_0_41, all_247_0_141 and discharging atoms addition(all_61_0_38, all_0_1_1) = all_247_0_141, addition(all_61_0_38, all_0_1_1) = all_67_0_41, yields:
% 24.93/7.53 | (899) all_247_0_141 = all_67_0_41
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (19) with all_0_8_8, all_49_0_32, all_179_0_95, all_67_0_41 and discharging atoms addition(all_0_8_8, all_49_0_32) = all_179_0_95, addition(all_0_8_8, all_49_0_32) = all_67_0_41, yields:
% 24.93/7.53 | (900) all_179_0_95 = all_67_0_41
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (19) with all_0_10_10, all_49_0_32, all_189_0_102, all_127_0_62 and discharging atoms addition(all_0_10_10, all_49_0_32) = all_189_0_102, addition(all_0_10_10, all_49_0_32) = all_127_0_62, yields:
% 24.93/7.53 | (901) all_189_0_102 = all_127_0_62
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (19) with all_0_11_11, all_0_8_8, all_61_0_38, all_273_0_159 and discharging atoms addition(all_0_11_11, all_0_8_8) = all_273_0_159, addition(all_0_11_11, all_0_8_8) = all_61_0_38, yields:
% 24.93/7.53 | (902) all_273_0_159 = all_61_0_38
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (19) with all_0_11_11, all_0_10_10, all_69_0_42, all_187_0_101 and discharging atoms addition(all_0_11_11, all_0_10_10) = all_187_0_101, addition(all_0_11_11, all_0_10_10) = all_69_0_42, yields:
% 24.93/7.53 | (903) all_187_0_101 = all_69_0_42
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (19) with all_0_12_12, all_0_11_11, all_0_2_2, all_25_0_25 and discharging atoms addition(all_0_12_12, all_0_11_11) = all_25_0_25, addition(all_0_12_12, all_0_11_11) = all_0_2_2, yields:
% 24.93/7.53 | (904) all_25_0_25 = all_0_2_2
% 24.93/7.53 |
% 24.93/7.53 | From (903)(904) and (460) follows:
% 24.93/7.53 | (905) addition(all_69_0_42, all_0_8_8) = all_0_2_2
% 24.93/7.53 |
% 24.93/7.53 | From (899) and (524) follows:
% 24.93/7.53 | (882) addition(all_61_0_38, all_0_1_1) = all_67_0_41
% 24.93/7.53 |
% 24.93/7.53 | From (900) and (895) follows:
% 24.93/7.53 | (856) addition(all_0_8_8, all_49_0_32) = all_67_0_41
% 24.93/7.53 |
% 24.93/7.53 | From (901) and (897) follows:
% 24.93/7.53 | (383) addition(all_0_10_10, all_49_0_32) = all_127_0_62
% 24.93/7.53 |
% 24.93/7.53 | From (902) and (554) follows:
% 24.93/7.53 | (888) addition(all_0_11_11, all_0_8_8) = all_61_0_38
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (43) with all_133_1_66, all_0_4_4 and discharging atoms c(all_0_4_4) = all_133_1_66, test(all_0_4_4), yields:
% 24.93/7.53 | (910) complement(all_0_4_4, all_133_1_66)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (44) with one, all_0_11_11, all_0_9_9, all_0_9_9, all_0_11_11 and discharging atoms c(all_0_9_9) = all_0_11_11, c(all_0_11_11) = all_0_9_9, addition(all_0_9_9, all_0_11_11) = one, test(all_0_9_9), test(all_0_11_11), yields:
% 24.93/7.53 | (911) ? [v0] : (c(v0) = one & multiplication(all_0_11_11, all_0_9_9) = v0)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (44) with one, all_0_9_9, all_0_11_11, all_0_11_11, all_0_9_9 and discharging atoms c(all_0_9_9) = all_0_11_11, c(all_0_11_11) = all_0_9_9, addition(all_0_11_11, all_0_9_9) = one, test(all_0_9_9), test(all_0_11_11), yields:
% 24.93/7.53 | (912) ? [v0] : (c(v0) = one & multiplication(all_0_9_9, all_0_11_11) = v0)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (3) with all_215_1_116, all_0_1_1, all_0_11_11, all_0_9_9, all_0_4_4 and discharging atoms multiplication(all_0_1_1, all_0_11_11) = all_215_1_116, multiplication(all_0_4_4, all_0_9_9) = all_0_1_1, yields:
% 24.93/7.53 | (913) ? [v0] : (multiplication(all_0_4_4, v0) = all_215_1_116 & multiplication(all_0_9_9, all_0_11_11) = v0)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (3) with all_217_0_117, all_0_3_3, all_0_9_9, all_0_11_11, all_0_4_4 and discharging atoms multiplication(all_0_3_3, all_0_9_9) = all_217_0_117, multiplication(all_0_4_4, all_0_11_11) = all_0_3_3, yields:
% 24.93/7.53 | (914) ? [v0] : (multiplication(all_0_4_4, v0) = all_217_0_117 & multiplication(all_0_11_11, all_0_9_9) = v0)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (3) with all_215_0_115, all_0_3_3, all_0_11_11, all_0_11_11, all_0_4_4 and discharging atoms multiplication(all_0_3_3, all_0_11_11) = all_215_0_115, multiplication(all_0_4_4, all_0_11_11) = all_0_3_3, yields:
% 24.93/7.53 | (915) ? [v0] : (multiplication(all_0_4_4, v0) = all_215_0_115 & multiplication(all_0_11_11, all_0_11_11) = v0)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (3) with all_283_0_165, all_0_8_8, all_0_11_11, all_0_12_12, all_0_9_9 and discharging atoms multiplication(all_0_8_8, all_0_11_11) = all_283_0_165, multiplication(all_0_9_9, all_0_12_12) = all_0_8_8, yields:
% 24.93/7.53 | (916) ? [v0] : (multiplication(all_0_9_9, v0) = all_283_0_165 & multiplication(all_0_12_12, all_0_11_11) = v0)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (7) with all_0_1_1, all_0_4_4, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_4_4) = all_0_1_1, test(all_0_4_4), test(all_0_9_9), yields:
% 24.93/7.53 | (917) ? [v0] : ? [v1] : ? [v2] : (c(all_0_1_1) = v0 & c(all_0_4_4) = v2 & c(all_0_9_9) = v1 & addition(v1, v2) = v0)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (34) with all_293_0_173, all_0_10_10, all_0_12_12, all_0_11_11, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_10_10) = all_293_0_173, multiplication(all_0_11_11, all_0_12_12) = all_0_10_10, yields:
% 24.93/7.53 | (918) ? [v0] : (multiplication(v0, all_0_12_12) = all_293_0_173 & multiplication(all_0_9_9, all_0_11_11) = v0)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (25) with all_0_9_9, one, all_0_11_11, all_0_9_9, all_0_9_9 and discharging atoms multiplication(all_0_9_9, one) = all_0_9_9, addition(all_0_9_9, all_0_11_11) = one, yields:
% 24.93/7.53 | (919) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_9_9) = v0 & multiplication(all_0_9_9, all_0_11_11) = v1 & addition(v0, v1) = all_0_9_9)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (25) with all_0_9_9, one, all_0_9_9, all_0_11_11, all_0_9_9 and discharging atoms multiplication(all_0_9_9, one) = all_0_9_9, addition(all_0_11_11, all_0_9_9) = one, yields:
% 24.93/7.53 | (920) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_9_9) = v1 & multiplication(all_0_9_9, all_0_11_11) = v0 & addition(v0, v1) = all_0_9_9)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (3) with all_283_1_166, all_0_10_10, all_0_11_11, all_0_12_12, all_0_11_11 and discharging atoms multiplication(all_0_10_10, all_0_11_11) = all_283_1_166, multiplication(all_0_11_11, all_0_12_12) = all_0_10_10, yields:
% 24.93/7.53 | (921) ? [v0] : (multiplication(all_0_11_11, v0) = all_283_1_166 & multiplication(all_0_12_12, all_0_11_11) = v0)
% 24.93/7.53 |
% 24.93/7.53 | Instantiating formula (34) with all_289_1_171, all_0_8_8, all_0_12_12, all_0_9_9, all_0_11_11 and discharging atoms multiplication(all_0_9_9, all_0_12_12) = all_0_8_8, multiplication(all_0_11_11, all_0_8_8) = all_289_1_171, yields:
% 24.93/7.53 | (922) ? [v0] : (multiplication(v0, all_0_12_12) = all_289_1_171 & multiplication(all_0_11_11, all_0_9_9) = v0)
% 24.93/7.53 |
% 24.93/7.54 | Instantiating formula (34) with zero, all_0_9_9, one, all_0_9_9, all_0_11_11 and discharging atoms multiplication(all_0_9_9, one) = all_0_9_9, multiplication(all_0_11_11, all_0_9_9) = zero, yields:
% 24.93/7.54 | (923) ? [v0] : (multiplication(v0, one) = zero & multiplication(all_0_11_11, all_0_9_9) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (34) with all_289_0_170, all_0_10_10, all_0_12_12, all_0_11_11, all_0_11_11 and discharging atoms multiplication(all_0_11_11, all_0_10_10) = all_289_0_170, multiplication(all_0_11_11, all_0_12_12) = all_0_10_10, yields:
% 24.93/7.54 | (924) ? [v0] : (multiplication(v0, all_0_12_12) = all_289_0_170 & multiplication(all_0_11_11, all_0_11_11) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (34) with all_0_6_6, all_0_11_11, one, all_0_11_11, all_0_12_12 and discharging atoms multiplication(all_0_11_11, one) = all_0_11_11, multiplication(all_0_12_12, all_0_11_11) = all_0_6_6, yields:
% 24.93/7.54 | (925) ? [v0] : (multiplication(v0, one) = all_0_6_6 & multiplication(all_0_12_12, all_0_11_11) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (34) with all_241_2_136, all_0_11_11, one, all_0_11_11, all_133_1_66 and discharging atoms multiplication(all_133_1_66, all_0_11_11) = all_241_2_136, multiplication(all_0_11_11, one) = all_0_11_11, yields:
% 24.93/7.54 | (926) ? [v0] : (multiplication(v0, one) = all_241_2_136 & multiplication(all_133_1_66, all_0_11_11) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (34) with zero, all_0_11_11, one, all_0_11_11, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = zero, multiplication(all_0_11_11, one) = all_0_11_11, yields:
% 24.93/7.54 | (927) ? [v0] : (multiplication(v0, one) = zero & multiplication(all_0_9_9, all_0_11_11) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (25) with all_0_11_11, one, all_0_11_11, all_0_9_9, all_0_11_11 and discharging atoms multiplication(all_0_11_11, one) = all_0_11_11, addition(all_0_9_9, all_0_11_11) = one, yields:
% 24.93/7.54 | (928) ? [v0] : ? [v1] : (multiplication(all_0_11_11, all_0_9_9) = v0 & multiplication(all_0_11_11, all_0_11_11) = v1 & addition(v0, v1) = all_0_11_11)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (25) with all_0_11_11, one, all_0_9_9, all_0_11_11, all_0_11_11 and discharging atoms multiplication(all_0_11_11, one) = all_0_11_11, addition(all_0_11_11, all_0_9_9) = one, yields:
% 24.93/7.54 | (929) ? [v0] : ? [v1] : (multiplication(all_0_11_11, all_0_9_9) = v1 & multiplication(all_0_11_11, all_0_11_11) = v0 & addition(v0, v1) = all_0_11_11)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (14) with all_0_6_6, one, all_0_6_6, all_0_11_11, all_0_9_9 and discharging atoms multiplication(one, all_0_6_6) = all_0_6_6, addition(all_0_9_9, all_0_11_11) = one, yields:
% 24.93/7.54 | (930) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_6_6) = v0 & multiplication(all_0_11_11, all_0_6_6) = v1 & addition(v0, v1) = all_0_6_6)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (14) with all_0_6_6, one, all_0_6_6, all_0_9_9, all_0_11_11 and discharging atoms multiplication(one, all_0_6_6) = all_0_6_6, addition(all_0_11_11, all_0_9_9) = one, yields:
% 24.93/7.54 | (931) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_6_6) = v1 & multiplication(all_0_11_11, all_0_6_6) = v0 & addition(v0, v1) = all_0_6_6)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (3) with all_0_1_1, all_0_9_9, all_0_4_4, all_0_9_9, one and discharging atoms multiplication(all_0_9_9, all_0_4_4) = all_0_1_1, multiplication(one, all_0_9_9) = all_0_9_9, yields:
% 24.93/7.54 | (932) ? [v0] : (multiplication(all_0_9_9, all_0_4_4) = v0 & multiplication(one, v0) = all_0_1_1)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (3) with zero, all_0_9_9, all_0_11_11, all_0_9_9, one and discharging atoms multiplication(all_0_9_9, all_0_11_11) = zero, multiplication(one, all_0_9_9) = all_0_9_9, yields:
% 24.93/7.54 | (933) ? [v0] : (multiplication(all_0_9_9, all_0_11_11) = v0 & multiplication(one, v0) = zero)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (14) with all_0_9_9, one, all_0_9_9, all_0_11_11, all_0_9_9 and discharging atoms multiplication(one, all_0_9_9) = all_0_9_9, addition(all_0_9_9, all_0_11_11) = one, yields:
% 24.93/7.54 | (934) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_9_9) = v0 & multiplication(all_0_11_11, all_0_9_9) = v1 & addition(v0, v1) = all_0_9_9)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (14) with all_0_9_9, one, all_0_9_9, all_0_9_9, all_0_11_11 and discharging atoms multiplication(one, all_0_9_9) = all_0_9_9, addition(all_0_11_11, all_0_9_9) = one, yields:
% 24.93/7.54 | (935) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_9_9) = v1 & multiplication(all_0_11_11, all_0_9_9) = v0 & addition(v0, v1) = all_0_9_9)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (3) with all_241_2_136, all_0_11_11, all_133_1_66, all_0_11_11, one and discharging atoms multiplication(all_0_11_11, all_133_1_66) = all_241_2_136, multiplication(one, all_0_11_11) = all_0_11_11, yields:
% 24.93/7.54 | (936) ? [v0] : (multiplication(all_0_11_11, all_133_1_66) = v0 & multiplication(one, v0) = all_241_2_136)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (3) with zero, all_0_11_11, all_0_9_9, all_0_11_11, one and discharging atoms multiplication(all_0_11_11, all_0_9_9) = zero, multiplication(one, all_0_11_11) = all_0_11_11, yields:
% 24.93/7.54 | (937) ? [v0] : (multiplication(all_0_11_11, all_0_9_9) = v0 & multiplication(one, v0) = zero)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (14) with all_0_11_11, one, all_0_11_11, all_0_11_11, all_0_9_9 and discharging atoms multiplication(one, all_0_11_11) = all_0_11_11, addition(all_0_9_9, all_0_11_11) = one, yields:
% 24.93/7.54 | (938) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_11_11) = v0 & multiplication(all_0_11_11, all_0_11_11) = v1 & addition(v0, v1) = all_0_11_11)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (14) with all_0_11_11, one, all_0_11_11, all_0_9_9, all_0_11_11 and discharging atoms multiplication(one, all_0_11_11) = all_0_11_11, addition(all_0_11_11, all_0_9_9) = one, yields:
% 24.93/7.54 | (939) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_11_11) = v1 & multiplication(all_0_11_11, all_0_11_11) = v0 & addition(v0, v1) = all_0_11_11)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (25) with all_289_1_171, all_0_8_8, all_293_1_174, all_293_0_173, all_0_11_11 and discharging atoms multiplication(all_0_11_11, all_0_8_8) = all_289_1_171, addition(all_293_0_173, all_293_1_174) = all_0_8_8, yields:
% 24.93/7.54 | (940) ? [v0] : ? [v1] : (multiplication(all_0_11_11, all_293_0_173) = v0 & multiplication(all_0_11_11, all_293_1_174) = v1 & addition(v0, v1) = all_289_1_171)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (25) with all_289_1_171, all_0_8_8, all_293_0_173, all_293_1_174, all_0_11_11 and discharging atoms multiplication(all_0_11_11, all_0_8_8) = all_289_1_171, addition(all_293_1_174, all_293_0_173) = all_0_8_8, yields:
% 24.93/7.54 | (941) ? [v0] : ? [v1] : (multiplication(all_0_11_11, all_293_0_173) = v1 & multiplication(all_0_11_11, all_293_1_174) = v0 & addition(v0, v1) = all_289_1_171)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (25) with all_289_0_170, all_0_10_10, all_289_1_171, all_289_0_170, all_0_11_11 and discharging atoms multiplication(all_0_11_11, all_0_10_10) = all_289_0_170, addition(all_289_0_170, all_289_1_171) = all_0_10_10, yields:
% 24.93/7.54 | (942) ? [v0] : ? [v1] : (multiplication(all_0_11_11, all_289_0_170) = v0 & multiplication(all_0_11_11, all_289_1_171) = v1 & addition(v0, v1) = all_289_0_170)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (25) with all_0_10_10, all_0_10_10, all_289_1_171, all_289_0_170, one and discharging atoms multiplication(one, all_0_10_10) = all_0_10_10, addition(all_289_0_170, all_289_1_171) = all_0_10_10, yields:
% 24.93/7.54 | (943) ? [v0] : ? [v1] : (multiplication(one, all_289_0_170) = v0 & multiplication(one, all_289_1_171) = v1 & addition(v0, v1) = all_0_10_10)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (25) with all_289_0_170, all_0_10_10, all_289_0_170, all_289_1_171, all_0_11_11 and discharging atoms multiplication(all_0_11_11, all_0_10_10) = all_289_0_170, addition(all_289_1_171, all_289_0_170) = all_0_10_10, yields:
% 24.93/7.54 | (944) ? [v0] : ? [v1] : (multiplication(all_0_11_11, all_289_0_170) = v1 & multiplication(all_0_11_11, all_289_1_171) = v0 & addition(v0, v1) = all_289_0_170)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_153_0_77, all_0_8_8, all_0_1_1 and discharging atoms addition(all_153_0_77, all_0_8_8) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 24.93/7.54 | (945) ? [v0] : (addition(all_153_0_77, v0) = all_0_0_0 & addition(all_0_8_8, all_0_1_1) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_69_0_42, all_75_0_45, all_0_3_3, all_0_10_10, all_0_6_6 and discharging atoms addition(all_75_0_45, all_0_6_6) = all_69_0_42, addition(all_0_3_3, all_0_10_10) = all_75_0_45, yields:
% 24.93/7.54 | (946) ? [v0] : (addition(all_0_3_3, v0) = all_69_0_42 & addition(all_0_10_10, all_0_6_6) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_69_0_42, all_0_8_8, all_0_1_1 and discharging atoms addition(all_69_0_42, all_0_8_8) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 24.93/7.54 | (947) ? [v0] : (addition(all_69_0_42, v0) = all_0_0_0 & addition(all_0_8_8, all_0_1_1) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with one, all_65_0_40, all_225_0_123, all_0_8_8, all_0_3_3 and discharging atoms addition(all_225_0_123, all_0_8_8) = all_65_0_40, addition(all_65_0_40, all_0_3_3) = one, yields:
% 24.93/7.54 | (948) ? [v0] : (addition(all_225_0_123, v0) = one & addition(all_0_8_8, all_0_3_3) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with one, all_41_0_28, all_75_0_45, all_0_8_8, all_0_1_1 and discharging atoms addition(all_75_0_45, all_0_8_8) = all_41_0_28, addition(all_41_0_28, all_0_1_1) = one, yields:
% 24.93/7.54 | (949) ? [v0] : (addition(all_75_0_45, v0) = one & addition(all_0_8_8, all_0_1_1) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_0_0_0, all_47_0_31, all_39_0_27, all_209_0_112, all_0_3_3 and discharging atoms addition(all_47_0_31, all_0_3_3) = all_0_0_0, addition(all_39_0_27, all_209_0_112) = all_47_0_31, yields:
% 24.93/7.54 | (950) ? [v0] : (addition(all_209_0_112, all_0_3_3) = v0 & addition(all_39_0_27, v0) = all_0_0_0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_0_0_0, all_0_2_2, all_39_0_27, all_163_0_83, all_0_1_1 and discharging atoms addition(all_39_0_27, all_163_0_83) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 24.93/7.54 | (951) ? [v0] : (addition(all_163_0_83, all_0_1_1) = v0 & addition(all_39_0_27, v0) = all_0_0_0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_0_2_2, all_69_0_42, all_39_0_27, all_0_3_3, all_0_8_8 and discharging atoms addition(all_69_0_42, all_0_8_8) = all_0_2_2, addition(all_39_0_27, all_0_3_3) = all_69_0_42, yields:
% 24.93/7.54 | (952) ? [v0] : (addition(all_39_0_27, v0) = all_0_2_2 & addition(all_0_3_3, all_0_8_8) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_99_0_48, all_9_0_13, all_0_6_6, all_0_8_8, all_0_1_1 and discharging atoms addition(all_9_0_13, all_0_1_1) = all_99_0_48, addition(all_0_6_6, all_0_8_8) = all_9_0_13, yields:
% 24.93/7.54 | (953) ? [v0] : (addition(all_0_6_6, v0) = all_99_0_48 & addition(all_0_8_8, all_0_1_1) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (54) with all_141_0_71, all_0_1_1, all_0_8_8 and discharging atoms addition(all_0_1_1, all_0_8_8) = all_141_0_71, yields:
% 24.93/7.54 | (954) addition(all_0_8_8, all_0_1_1) = all_141_0_71
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (52) with all_61_0_38, all_9_0_13, all_0_3_3, all_0_8_8, all_0_6_6 and discharging atoms addition(all_0_3_3, all_9_0_13) = all_61_0_38, addition(all_0_8_8, all_0_6_6) = all_9_0_13, yields:
% 24.93/7.54 | (955) ? [v0] : (addition(v0, all_0_6_6) = all_61_0_38 & addition(all_0_3_3, all_0_8_8) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_311_0_184, all_0_4_4, all_0_1_1, all_0_3_3, all_0_8_8 and discharging atoms addition(all_0_1_1, all_0_3_3) = all_0_4_4, addition(all_0_4_4, all_0_8_8) = all_311_0_184, yields:
% 24.93/7.54 | (956) ? [v0] : (addition(all_0_1_1, v0) = all_311_0_184 & addition(all_0_3_3, all_0_8_8) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (25) with all_0_9_9, one, all_0_12_12, all_0_4_4, all_0_9_9 and discharging atoms multiplication(all_0_9_9, one) = all_0_9_9, addition(all_0_4_4, all_0_12_12) = one, yields:
% 24.93/7.54 | (957) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_4_4) = v0 & multiplication(all_0_9_9, all_0_12_12) = v1 & addition(v0, v1) = all_0_9_9)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (5) with one, all_0_12_12, all_0_4_4 and discharging atoms addition(all_0_4_4, all_0_12_12) = one, test(all_0_4_4), test(all_0_12_12), yields:
% 24.93/7.54 | (958) ? [v0] : ? [v1] : ? [v2] : (c(all_0_4_4) = v1 & c(all_0_12_12) = v2 & c(one) = v0 & multiplication(v1, v2) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_67_0_41, all_0_6_6, all_283_0_165, all_283_1_166, all_175_0_93 and discharging atoms addition(all_283_0_165, all_283_1_166) = all_0_6_6, addition(all_0_6_6, all_175_0_93) = all_67_0_41, yields:
% 24.93/7.54 | (959) ? [v0] : (addition(all_283_0_165, v0) = all_67_0_41 & addition(all_283_1_166, all_175_0_93) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with all_67_0_41, all_61_0_38, all_0_6_6, all_163_0_83, all_0_1_1 and discharging atoms addition(all_61_0_38, all_0_1_1) = all_67_0_41, addition(all_0_6_6, all_163_0_83) = all_61_0_38, yields:
% 24.93/7.54 | (960) ? [v0] : (addition(all_163_0_83, all_0_1_1) = v0 & addition(all_0_6_6, v0) = all_67_0_41)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (52) with all_0_0_0, all_47_0_31, all_0_3_3, all_0_8_8, all_331_0_194 and discharging atoms addition(all_0_3_3, all_47_0_31) = all_0_0_0, addition(all_0_8_8, all_331_0_194) = all_47_0_31, yields:
% 24.93/7.54 | (961) ? [v0] : (addition(v0, all_331_0_194) = all_0_0_0 & addition(all_0_3_3, all_0_8_8) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (52) with all_41_0_28, all_75_0_45, all_0_8_8, all_0_3_3, all_0_10_10 and discharging atoms addition(all_0_3_3, all_0_10_10) = all_75_0_45, addition(all_0_8_8, all_75_0_45) = all_41_0_28, yields:
% 24.93/7.54 | (962) ? [v0] : (addition(v0, all_0_10_10) = all_41_0_28 & addition(all_0_8_8, all_0_3_3) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (52) with all_67_0_41, all_49_0_32, all_0_8_8, all_0_1_1, all_0_11_11 and discharging atoms addition(all_0_1_1, all_0_11_11) = all_49_0_32, addition(all_0_8_8, all_49_0_32) = all_67_0_41, yields:
% 24.93/7.54 | (963) ? [v0] : (addition(v0, all_0_11_11) = all_67_0_41 & addition(all_0_8_8, all_0_1_1) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (54) with all_163_0_83, all_0_8_8, all_0_3_3 and discharging atoms addition(all_0_8_8, all_0_3_3) = all_163_0_83, yields:
% 24.93/7.54 | (964) addition(all_0_3_3, all_0_8_8) = all_163_0_83
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (52) with all_175_0_93, all_0_4_4, all_0_8_8, all_0_1_1, all_0_3_3 and discharging atoms addition(all_0_1_1, all_0_3_3) = all_0_4_4, addition(all_0_8_8, all_0_4_4) = all_175_0_93, yields:
% 24.93/7.54 | (965) ? [v0] : (addition(v0, all_0_3_3) = all_175_0_93 & addition(all_0_8_8, all_0_1_1) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (52) with all_175_0_93, all_0_4_4, all_0_8_8, all_0_3_3, all_0_1_1 and discharging atoms addition(all_0_3_3, all_0_1_1) = all_0_4_4, addition(all_0_8_8, all_0_4_4) = all_175_0_93, yields:
% 24.93/7.54 | (966) ? [v0] : (addition(v0, all_0_1_1) = all_175_0_93 & addition(all_0_8_8, all_0_3_3) = v0)
% 24.93/7.54 |
% 24.93/7.54 | Instantiating formula (48) with one, all_0_10_10, all_289_1_171, all_289_0_170, all_175_0_93 and discharging atoms addition(all_289_1_171, all_289_0_170) = all_0_10_10, addition(all_0_10_10, all_175_0_93) = one, yields:
% 24.93/7.55 | (967) ? [v0] : (addition(all_289_0_170, all_175_0_93) = v0 & addition(all_289_1_171, v0) = one)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (48) with one, all_41_0_28, all_0_10_10, all_163_0_83, all_0_1_1 and discharging atoms addition(all_41_0_28, all_0_1_1) = one, addition(all_0_10_10, all_163_0_83) = all_41_0_28, yields:
% 24.93/7.55 | (968) ? [v0] : (addition(all_163_0_83, all_0_1_1) = v0 & addition(all_0_10_10, v0) = one)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (52) with all_127_0_62, all_49_0_32, all_0_10_10, all_0_6_6, all_0_4_4 and discharging atoms addition(all_0_6_6, all_0_4_4) = all_49_0_32, addition(all_0_10_10, all_49_0_32) = all_127_0_62, yields:
% 24.93/7.55 | (969) ? [v0] : (addition(v0, all_0_4_4) = all_127_0_62 & addition(all_0_10_10, all_0_6_6) = v0)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (48) with all_41_0_28, all_75_0_45, all_0_10_10, all_0_3_3, all_0_8_8 and discharging atoms addition(all_75_0_45, all_0_8_8) = all_41_0_28, addition(all_0_10_10, all_0_3_3) = all_75_0_45, yields:
% 24.93/7.55 | (970) ? [v0] : (addition(all_0_3_3, all_0_8_8) = v0 & addition(all_0_10_10, v0) = all_41_0_28)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (9) with all_39_0_27, all_0_6_6, all_0_10_10, all_0_6_6, all_0_10_10, one and discharging atoms multiplication(one, all_0_6_6) = all_0_6_6, multiplication(one, all_0_10_10) = all_0_10_10, addition(all_0_10_10, all_0_6_6) = all_39_0_27, yields:
% 24.93/7.55 | (971) ? [v0] : (multiplication(one, v0) = all_39_0_27 & addition(all_0_10_10, all_0_6_6) = v0)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (48) with all_39_0_27, all_0_10_10, all_289_1_171, all_289_0_170, all_0_6_6 and discharging atoms addition(all_289_1_171, all_289_0_170) = all_0_10_10, addition(all_0_10_10, all_0_6_6) = all_39_0_27, yields:
% 24.93/7.55 | (972) ? [v0] : (addition(all_289_0_170, all_0_6_6) = v0 & addition(all_289_1_171, v0) = all_39_0_27)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (5) with all_253_2_147, all_0_4_4, all_0_11_11 and discharging atoms addition(all_0_11_11, all_0_4_4) = all_253_2_147, test(all_0_4_4), test(all_0_11_11), yields:
% 24.93/7.55 | (973) ? [v0] : ? [v1] : ? [v2] : (c(all_253_2_147) = v0 & c(all_0_4_4) = v2 & c(all_0_11_11) = v1 & multiplication(v1, v2) = v0)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (48) with all_67_0_41, all_61_0_38, all_0_11_11, all_0_8_8, all_0_1_1 and discharging atoms addition(all_61_0_38, all_0_1_1) = all_67_0_41, addition(all_0_11_11, all_0_8_8) = all_61_0_38, yields:
% 24.93/7.55 | (974) ? [v0] : (addition(all_0_8_8, all_0_1_1) = v0 & addition(all_0_11_11, v0) = all_67_0_41)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (48) with all_61_0_38, all_0_11_11, all_0_6_6, all_0_3_3, all_0_8_8 and discharging atoms addition(all_0_6_6, all_0_3_3) = all_0_11_11, addition(all_0_11_11, all_0_8_8) = all_61_0_38, yields:
% 24.93/7.55 | (975) ? [v0] : (addition(all_0_3_3, all_0_8_8) = v0 & addition(all_0_6_6, v0) = all_61_0_38)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (48) with all_65_0_40, all_0_12_12, all_0_10_10, all_0_8_8, all_0_1_1 and discharging atoms addition(all_0_10_10, all_0_8_8) = all_0_12_12, addition(all_0_12_12, all_0_1_1) = all_65_0_40, yields:
% 24.93/7.55 | (976) ? [v0] : (addition(all_0_8_8, all_0_1_1) = v0 & addition(all_0_10_10, v0) = all_65_0_40)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (25) with all_0_9_9, one, all_0_4_4, all_0_12_12, all_0_9_9 and discharging atoms multiplication(all_0_9_9, one) = all_0_9_9, addition(all_0_12_12, all_0_4_4) = one, yields:
% 24.93/7.55 | (977) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_4_4) = v1 & multiplication(all_0_9_9, all_0_12_12) = v0 & addition(v0, v1) = all_0_9_9)
% 24.93/7.55 |
% 24.93/7.55 | Instantiating formula (49) with all_0_4_4, all_0_12_12 and discharging atoms addition(all_0_12_12, all_0_4_4) = one, yields:
% 24.93/7.55 | (978) complement(all_0_4_4, all_0_12_12) | ? [v0] : ? [v1] : (multiplication(all_0_4_4, all_0_12_12) = v1 & multiplication(all_0_12_12, all_0_4_4) = v0 & ( ~ (v1 = zero) | ~ (v0 = zero)))
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (969) with all_367_0_203 yields:
% 24.93/7.55 | (979) addition(all_367_0_203, all_0_4_4) = all_127_0_62 & addition(all_0_10_10, all_0_6_6) = all_367_0_203
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (979) yields:
% 24.93/7.55 | (980) addition(all_367_0_203, all_0_4_4) = all_127_0_62
% 24.93/7.55 | (981) addition(all_0_10_10, all_0_6_6) = all_367_0_203
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (967) with all_379_0_211 yields:
% 24.93/7.55 | (982) addition(all_289_0_170, all_175_0_93) = all_379_0_211 & addition(all_289_1_171, all_379_0_211) = one
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (982) yields:
% 24.93/7.55 | (983) addition(all_289_0_170, all_175_0_93) = all_379_0_211
% 24.93/7.55 | (984) addition(all_289_1_171, all_379_0_211) = one
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (959) with all_409_0_234 yields:
% 24.93/7.55 | (985) addition(all_283_0_165, all_409_0_234) = all_67_0_41 & addition(all_283_1_166, all_175_0_93) = all_409_0_234
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (985) yields:
% 24.93/7.55 | (986) addition(all_283_0_165, all_409_0_234) = all_67_0_41
% 24.93/7.55 | (987) addition(all_283_1_166, all_175_0_93) = all_409_0_234
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (957) with all_411_0_235, all_411_1_236 yields:
% 24.93/7.55 | (988) multiplication(all_0_9_9, all_0_4_4) = all_411_1_236 & multiplication(all_0_9_9, all_0_12_12) = all_411_0_235 & addition(all_411_1_236, all_411_0_235) = all_0_9_9
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (988) yields:
% 24.93/7.55 | (989) multiplication(all_0_9_9, all_0_4_4) = all_411_1_236
% 24.93/7.55 | (990) multiplication(all_0_9_9, all_0_12_12) = all_411_0_235
% 24.93/7.55 | (991) addition(all_411_1_236, all_411_0_235) = all_0_9_9
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (958) with all_415_0_239, all_415_1_240, all_415_2_241 yields:
% 24.93/7.55 | (992) c(all_0_4_4) = all_415_1_240 & c(all_0_12_12) = all_415_0_239 & c(one) = all_415_2_241 & multiplication(all_415_1_240, all_415_0_239) = all_415_2_241
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (992) yields:
% 24.93/7.55 | (993) c(all_0_4_4) = all_415_1_240
% 24.93/7.55 | (994) c(all_0_12_12) = all_415_0_239
% 24.93/7.55 | (995) c(one) = all_415_2_241
% 24.93/7.55 | (996) multiplication(all_415_1_240, all_415_0_239) = all_415_2_241
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (953) with all_455_0_264 yields:
% 24.93/7.55 | (997) addition(all_0_6_6, all_455_0_264) = all_99_0_48 & addition(all_0_8_8, all_0_1_1) = all_455_0_264
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (997) yields:
% 24.93/7.55 | (998) addition(all_0_6_6, all_455_0_264) = all_99_0_48
% 24.93/7.55 | (999) addition(all_0_8_8, all_0_1_1) = all_455_0_264
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (956) with all_495_0_285 yields:
% 24.93/7.55 | (1000) addition(all_0_1_1, all_495_0_285) = all_311_0_184 & addition(all_0_3_3, all_0_8_8) = all_495_0_285
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (1000) yields:
% 24.93/7.55 | (1001) addition(all_0_1_1, all_495_0_285) = all_311_0_184
% 24.93/7.55 | (1002) addition(all_0_3_3, all_0_8_8) = all_495_0_285
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (955) with all_541_0_311 yields:
% 24.93/7.55 | (1003) addition(all_541_0_311, all_0_6_6) = all_61_0_38 & addition(all_0_3_3, all_0_8_8) = all_541_0_311
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (1003) yields:
% 24.93/7.55 | (1004) addition(all_541_0_311, all_0_6_6) = all_61_0_38
% 24.93/7.55 | (1005) addition(all_0_3_3, all_0_8_8) = all_541_0_311
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (938) with all_551_0_317, all_551_1_318 yields:
% 24.93/7.55 | (1006) multiplication(all_0_9_9, all_0_11_11) = all_551_1_318 & multiplication(all_0_11_11, all_0_11_11) = all_551_0_317 & addition(all_551_1_318, all_551_0_317) = all_0_11_11
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (1006) yields:
% 24.93/7.55 | (1007) multiplication(all_0_9_9, all_0_11_11) = all_551_1_318
% 24.93/7.55 | (1008) multiplication(all_0_11_11, all_0_11_11) = all_551_0_317
% 24.93/7.55 | (1009) addition(all_551_1_318, all_551_0_317) = all_0_11_11
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (915) with all_565_0_329 yields:
% 24.93/7.55 | (1010) multiplication(all_0_4_4, all_565_0_329) = all_215_0_115 & multiplication(all_0_11_11, all_0_11_11) = all_565_0_329
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (1010) yields:
% 24.93/7.55 | (1011) multiplication(all_0_4_4, all_565_0_329) = all_215_0_115
% 24.93/7.55 | (1012) multiplication(all_0_11_11, all_0_11_11) = all_565_0_329
% 24.93/7.55 |
% 24.93/7.55 | Instantiating (937) with all_569_0_332 yields:
% 24.93/7.55 | (1013) multiplication(all_0_11_11, all_0_9_9) = all_569_0_332 & multiplication(one, all_569_0_332) = zero
% 24.93/7.55 |
% 24.93/7.55 | Applying alpha-rule on (1013) yields:
% 24.93/7.55 | (1014) multiplication(all_0_11_11, all_0_9_9) = all_569_0_332
% 24.93/7.56 | (1015) multiplication(one, all_569_0_332) = zero
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (914) with all_573_0_334 yields:
% 24.93/7.56 | (1016) multiplication(all_0_4_4, all_573_0_334) = all_217_0_117 & multiplication(all_0_11_11, all_0_9_9) = all_573_0_334
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1016) yields:
% 24.93/7.56 | (1017) multiplication(all_0_4_4, all_573_0_334) = all_217_0_117
% 24.93/7.56 | (1018) multiplication(all_0_11_11, all_0_9_9) = all_573_0_334
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (936) with all_585_0_341 yields:
% 24.93/7.56 | (1019) multiplication(all_0_11_11, all_133_1_66) = all_585_0_341 & multiplication(one, all_585_0_341) = all_241_2_136
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1019) yields:
% 24.93/7.56 | (1020) multiplication(all_0_11_11, all_133_1_66) = all_585_0_341
% 24.93/7.56 | (1021) multiplication(one, all_585_0_341) = all_241_2_136
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (917) with all_591_0_344, all_591_1_345, all_591_2_346 yields:
% 24.93/7.56 | (1022) c(all_0_1_1) = all_591_2_346 & c(all_0_4_4) = all_591_0_344 & c(all_0_9_9) = all_591_1_345 & addition(all_591_1_345, all_591_0_344) = all_591_2_346
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1022) yields:
% 24.93/7.56 | (1023) c(all_0_1_1) = all_591_2_346
% 24.93/7.56 | (1024) c(all_0_4_4) = all_591_0_344
% 24.93/7.56 | (1025) c(all_0_9_9) = all_591_1_345
% 24.93/7.56 | (1026) addition(all_591_1_345, all_591_0_344) = all_591_2_346
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (935) with all_595_0_348, all_595_1_349 yields:
% 24.93/7.56 | (1027) multiplication(all_0_9_9, all_0_9_9) = all_595_0_348 & multiplication(all_0_11_11, all_0_9_9) = all_595_1_349 & addition(all_595_1_349, all_595_0_348) = all_0_9_9
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1027) yields:
% 24.93/7.56 | (1028) multiplication(all_0_9_9, all_0_9_9) = all_595_0_348
% 24.93/7.56 | (1029) multiplication(all_0_11_11, all_0_9_9) = all_595_1_349
% 24.93/7.56 | (1030) addition(all_595_1_349, all_595_0_348) = all_0_9_9
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (932) with all_599_0_351 yields:
% 24.93/7.56 | (1031) multiplication(all_0_9_9, all_0_4_4) = all_599_0_351 & multiplication(one, all_599_0_351) = all_0_1_1
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1031) yields:
% 24.93/7.56 | (1032) multiplication(all_0_9_9, all_0_4_4) = all_599_0_351
% 24.93/7.56 | (1033) multiplication(one, all_599_0_351) = all_0_1_1
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (934) with all_605_0_355, all_605_1_356 yields:
% 24.93/7.56 | (1034) multiplication(all_0_9_9, all_0_9_9) = all_605_1_356 & multiplication(all_0_11_11, all_0_9_9) = all_605_0_355 & addition(all_605_1_356, all_605_0_355) = all_0_9_9
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1034) yields:
% 24.93/7.56 | (1035) multiplication(all_0_9_9, all_0_9_9) = all_605_1_356
% 24.93/7.56 | (1036) multiplication(all_0_11_11, all_0_9_9) = all_605_0_355
% 24.93/7.56 | (1037) addition(all_605_1_356, all_605_0_355) = all_0_9_9
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (933) with all_607_0_357 yields:
% 24.93/7.56 | (1038) multiplication(all_0_9_9, all_0_11_11) = all_607_0_357 & multiplication(one, all_607_0_357) = zero
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1038) yields:
% 24.93/7.56 | (1039) multiplication(all_0_9_9, all_0_11_11) = all_607_0_357
% 24.93/7.56 | (1040) multiplication(one, all_607_0_357) = zero
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (916) with all_611_0_359 yields:
% 24.93/7.56 | (1041) multiplication(all_0_9_9, all_611_0_359) = all_283_0_165 & multiplication(all_0_12_12, all_0_11_11) = all_611_0_359
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1041) yields:
% 24.93/7.56 | (1042) multiplication(all_0_9_9, all_611_0_359) = all_283_0_165
% 24.93/7.56 | (1043) multiplication(all_0_12_12, all_0_11_11) = all_611_0_359
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (943) with all_627_0_368, all_627_1_369 yields:
% 24.93/7.56 | (1044) multiplication(one, all_289_0_170) = all_627_1_369 & multiplication(one, all_289_1_171) = all_627_0_368 & addition(all_627_1_369, all_627_0_368) = all_0_10_10
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1044) yields:
% 24.93/7.56 | (1045) multiplication(one, all_289_0_170) = all_627_1_369
% 24.93/7.56 | (1046) multiplication(one, all_289_1_171) = all_627_0_368
% 24.93/7.56 | (1047) addition(all_627_1_369, all_627_0_368) = all_0_10_10
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (944) with all_629_0_370, all_629_1_371 yields:
% 24.93/7.56 | (1048) multiplication(all_0_11_11, all_289_0_170) = all_629_0_370 & multiplication(all_0_11_11, all_289_1_171) = all_629_1_371 & addition(all_629_1_371, all_629_0_370) = all_289_0_170
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1048) yields:
% 24.93/7.56 | (1049) multiplication(all_0_11_11, all_289_0_170) = all_629_0_370
% 24.93/7.56 | (1050) multiplication(all_0_11_11, all_289_1_171) = all_629_1_371
% 24.93/7.56 | (1051) addition(all_629_1_371, all_629_0_370) = all_289_0_170
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (939) with all_641_0_378, all_641_1_379 yields:
% 24.93/7.56 | (1052) multiplication(all_0_9_9, all_0_11_11) = all_641_0_378 & multiplication(all_0_11_11, all_0_11_11) = all_641_1_379 & addition(all_641_1_379, all_641_0_378) = all_0_11_11
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1052) yields:
% 24.93/7.56 | (1053) multiplication(all_0_9_9, all_0_11_11) = all_641_0_378
% 24.93/7.56 | (1054) multiplication(all_0_11_11, all_0_11_11) = all_641_1_379
% 24.93/7.56 | (1055) addition(all_641_1_379, all_641_0_378) = all_0_11_11
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (948) with all_679_0_401 yields:
% 24.93/7.56 | (1056) addition(all_225_0_123, all_679_0_401) = one & addition(all_0_8_8, all_0_3_3) = all_679_0_401
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1056) yields:
% 24.93/7.56 | (1057) addition(all_225_0_123, all_679_0_401) = one
% 24.93/7.56 | (1058) addition(all_0_8_8, all_0_3_3) = all_679_0_401
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (942) with all_687_0_406, all_687_1_407 yields:
% 24.93/7.56 | (1059) multiplication(all_0_11_11, all_289_0_170) = all_687_1_407 & multiplication(all_0_11_11, all_289_1_171) = all_687_0_406 & addition(all_687_1_407, all_687_0_406) = all_289_0_170
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1059) yields:
% 24.93/7.56 | (1060) multiplication(all_0_11_11, all_289_0_170) = all_687_1_407
% 24.93/7.56 | (1061) multiplication(all_0_11_11, all_289_1_171) = all_687_0_406
% 24.93/7.56 | (1062) addition(all_687_1_407, all_687_0_406) = all_289_0_170
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (950) with all_735_0_439 yields:
% 24.93/7.56 | (1063) addition(all_209_0_112, all_0_3_3) = all_735_0_439 & addition(all_39_0_27, all_735_0_439) = all_0_0_0
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1063) yields:
% 24.93/7.56 | (1064) addition(all_209_0_112, all_0_3_3) = all_735_0_439
% 24.93/7.56 | (1065) addition(all_39_0_27, all_735_0_439) = all_0_0_0
% 24.93/7.56 |
% 24.93/7.56 | Instantiating (972) with all_751_0_447 yields:
% 24.93/7.56 | (1066) addition(all_289_0_170, all_0_6_6) = all_751_0_447 & addition(all_289_1_171, all_751_0_447) = all_39_0_27
% 24.93/7.56 |
% 24.93/7.56 | Applying alpha-rule on (1066) yields:
% 24.93/7.56 | (1067) addition(all_289_0_170, all_0_6_6) = all_751_0_447
% 24.93/7.56 | (1068) addition(all_289_1_171, all_751_0_447) = all_39_0_27
% 24.93/7.56 |
% 24.93/7.57 | Instantiating (951) with all_759_0_451 yields:
% 24.93/7.57 | (1069) addition(all_163_0_83, all_0_1_1) = all_759_0_451 & addition(all_39_0_27, all_759_0_451) = all_0_0_0
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1069) yields:
% 24.93/7.57 | (1070) addition(all_163_0_83, all_0_1_1) = all_759_0_451
% 24.93/7.57 | (1071) addition(all_39_0_27, all_759_0_451) = all_0_0_0
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (949) with all_761_0_452 yields:
% 24.93/7.57 | (1072) addition(all_75_0_45, all_761_0_452) = one & addition(all_0_8_8, all_0_1_1) = all_761_0_452
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1072) yields:
% 24.93/7.57 | (1073) addition(all_75_0_45, all_761_0_452) = one
% 24.93/7.57 | (1074) addition(all_0_8_8, all_0_1_1) = all_761_0_452
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (940) with all_843_0_508, all_843_1_509 yields:
% 24.93/7.57 | (1075) multiplication(all_0_11_11, all_293_0_173) = all_843_1_509 & multiplication(all_0_11_11, all_293_1_174) = all_843_0_508 & addition(all_843_1_509, all_843_0_508) = all_289_1_171
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1075) yields:
% 24.93/7.57 | (1076) multiplication(all_0_11_11, all_293_0_173) = all_843_1_509
% 24.93/7.57 | (1077) multiplication(all_0_11_11, all_293_1_174) = all_843_0_508
% 24.93/7.57 | (1078) addition(all_843_1_509, all_843_0_508) = all_289_1_171
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (971) with all_865_0_523 yields:
% 24.93/7.57 | (1079) multiplication(one, all_865_0_523) = all_39_0_27 & addition(all_0_10_10, all_0_6_6) = all_865_0_523
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1079) yields:
% 24.93/7.57 | (1080) multiplication(one, all_865_0_523) = all_39_0_27
% 24.93/7.57 | (1081) addition(all_0_10_10, all_0_6_6) = all_865_0_523
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (976) with all_879_0_532 yields:
% 24.93/7.57 | (1082) addition(all_0_8_8, all_0_1_1) = all_879_0_532 & addition(all_0_10_10, all_879_0_532) = all_65_0_40
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1082) yields:
% 24.93/7.57 | (1083) addition(all_0_8_8, all_0_1_1) = all_879_0_532
% 24.93/7.57 | (1084) addition(all_0_10_10, all_879_0_532) = all_65_0_40
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (970) with all_907_0_547 yields:
% 24.93/7.57 | (1085) addition(all_0_3_3, all_0_8_8) = all_907_0_547 & addition(all_0_10_10, all_907_0_547) = all_41_0_28
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1085) yields:
% 24.93/7.57 | (1086) addition(all_0_3_3, all_0_8_8) = all_907_0_547
% 24.93/7.57 | (1087) addition(all_0_10_10, all_907_0_547) = all_41_0_28
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (977) with all_947_0_571, all_947_1_572 yields:
% 24.93/7.57 | (1088) multiplication(all_0_9_9, all_0_4_4) = all_947_0_571 & multiplication(all_0_9_9, all_0_12_12) = all_947_1_572 & addition(all_947_1_572, all_947_0_571) = all_0_9_9
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1088) yields:
% 24.93/7.57 | (1089) multiplication(all_0_9_9, all_0_4_4) = all_947_0_571
% 24.93/7.57 | (1090) multiplication(all_0_9_9, all_0_12_12) = all_947_1_572
% 24.93/7.57 | (1091) addition(all_947_1_572, all_947_0_571) = all_0_9_9
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (946) with all_951_0_574 yields:
% 24.93/7.57 | (1092) addition(all_0_3_3, all_951_0_574) = all_69_0_42 & addition(all_0_10_10, all_0_6_6) = all_951_0_574
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1092) yields:
% 24.93/7.57 | (1093) addition(all_0_3_3, all_951_0_574) = all_69_0_42
% 24.93/7.57 | (1094) addition(all_0_10_10, all_0_6_6) = all_951_0_574
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (945) with all_1163_0_699 yields:
% 24.93/7.57 | (1095) addition(all_153_0_77, all_1163_0_699) = all_0_0_0 & addition(all_0_8_8, all_0_1_1) = all_1163_0_699
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1095) yields:
% 24.93/7.57 | (1096) addition(all_153_0_77, all_1163_0_699) = all_0_0_0
% 24.93/7.57 | (1097) addition(all_0_8_8, all_0_1_1) = all_1163_0_699
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (975) with all_1271_0_763 yields:
% 24.93/7.57 | (1098) addition(all_0_3_3, all_0_8_8) = all_1271_0_763 & addition(all_0_6_6, all_1271_0_763) = all_61_0_38
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1098) yields:
% 24.93/7.57 | (1099) addition(all_0_3_3, all_0_8_8) = all_1271_0_763
% 24.93/7.57 | (1100) addition(all_0_6_6, all_1271_0_763) = all_61_0_38
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (974) with all_1273_0_764 yields:
% 24.93/7.57 | (1101) addition(all_0_8_8, all_0_1_1) = all_1273_0_764 & addition(all_0_11_11, all_1273_0_764) = all_67_0_41
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1101) yields:
% 24.93/7.57 | (1102) addition(all_0_8_8, all_0_1_1) = all_1273_0_764
% 24.93/7.57 | (1103) addition(all_0_11_11, all_1273_0_764) = all_67_0_41
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (966) with all_1281_0_768 yields:
% 24.93/7.57 | (1104) addition(all_1281_0_768, all_0_1_1) = all_175_0_93 & addition(all_0_8_8, all_0_3_3) = all_1281_0_768
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1104) yields:
% 24.93/7.57 | (1105) addition(all_1281_0_768, all_0_1_1) = all_175_0_93
% 24.93/7.57 | (1106) addition(all_0_8_8, all_0_3_3) = all_1281_0_768
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (968) with all_1289_0_772 yields:
% 24.93/7.57 | (1107) addition(all_163_0_83, all_0_1_1) = all_1289_0_772 & addition(all_0_10_10, all_1289_0_772) = one
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1107) yields:
% 24.93/7.57 | (1108) addition(all_163_0_83, all_0_1_1) = all_1289_0_772
% 24.93/7.57 | (1109) addition(all_0_10_10, all_1289_0_772) = one
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (911) with all_1311_0_786 yields:
% 24.93/7.57 | (1110) c(all_1311_0_786) = one & multiplication(all_0_11_11, all_0_9_9) = all_1311_0_786
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1110) yields:
% 24.93/7.57 | (1111) c(all_1311_0_786) = one
% 24.93/7.57 | (1112) multiplication(all_0_11_11, all_0_9_9) = all_1311_0_786
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (912) with all_1313_0_787 yields:
% 24.93/7.57 | (1113) c(all_1313_0_787) = one & multiplication(all_0_9_9, all_0_11_11) = all_1313_0_787
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1113) yields:
% 24.93/7.57 | (1114) c(all_1313_0_787) = one
% 24.93/7.57 | (1115) multiplication(all_0_9_9, all_0_11_11) = all_1313_0_787
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (929) with all_1315_0_788, all_1315_1_789 yields:
% 24.93/7.57 | (1116) multiplication(all_0_11_11, all_0_9_9) = all_1315_0_788 & multiplication(all_0_11_11, all_0_11_11) = all_1315_1_789 & addition(all_1315_1_789, all_1315_0_788) = all_0_11_11
% 24.93/7.57 |
% 24.93/7.57 | Applying alpha-rule on (1116) yields:
% 24.93/7.57 | (1117) multiplication(all_0_11_11, all_0_9_9) = all_1315_0_788
% 24.93/7.57 | (1118) multiplication(all_0_11_11, all_0_11_11) = all_1315_1_789
% 24.93/7.57 | (1119) addition(all_1315_1_789, all_1315_0_788) = all_0_11_11
% 24.93/7.57 |
% 24.93/7.57 | Instantiating (928) with all_1337_0_800, all_1337_1_801 yields:
% 24.93/7.57 | (1120) multiplication(all_0_11_11, all_0_9_9) = all_1337_1_801 & multiplication(all_0_11_11, all_0_11_11) = all_1337_0_800 & addition(all_1337_1_801, all_1337_0_800) = all_0_11_11
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1120) yields:
% 24.93/7.58 | (1121) multiplication(all_0_11_11, all_0_9_9) = all_1337_1_801
% 24.93/7.58 | (1122) multiplication(all_0_11_11, all_0_11_11) = all_1337_0_800
% 24.93/7.58 | (1123) addition(all_1337_1_801, all_1337_0_800) = all_0_11_11
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (927) with all_1345_0_805 yields:
% 24.93/7.58 | (1124) multiplication(all_1345_0_805, one) = zero & multiplication(all_0_9_9, all_0_11_11) = all_1345_0_805
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1124) yields:
% 24.93/7.58 | (1125) multiplication(all_1345_0_805, one) = zero
% 24.93/7.58 | (1126) multiplication(all_0_9_9, all_0_11_11) = all_1345_0_805
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (913) with all_1349_0_807 yields:
% 24.93/7.58 | (1127) multiplication(all_0_4_4, all_1349_0_807) = all_215_1_116 & multiplication(all_0_9_9, all_0_11_11) = all_1349_0_807
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1127) yields:
% 24.93/7.58 | (1128) multiplication(all_0_4_4, all_1349_0_807) = all_215_1_116
% 24.93/7.58 | (1129) multiplication(all_0_9_9, all_0_11_11) = all_1349_0_807
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (926) with all_1363_0_814 yields:
% 24.93/7.58 | (1130) multiplication(all_1363_0_814, one) = all_241_2_136 & multiplication(all_133_1_66, all_0_11_11) = all_1363_0_814
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1130) yields:
% 24.93/7.58 | (1131) multiplication(all_1363_0_814, one) = all_241_2_136
% 24.93/7.58 | (1132) multiplication(all_133_1_66, all_0_11_11) = all_1363_0_814
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (925) with all_1365_0_815 yields:
% 24.93/7.58 | (1133) multiplication(all_1365_0_815, one) = all_0_6_6 & multiplication(all_0_12_12, all_0_11_11) = all_1365_0_815
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1133) yields:
% 24.93/7.58 | (1134) multiplication(all_1365_0_815, one) = all_0_6_6
% 24.93/7.58 | (1135) multiplication(all_0_12_12, all_0_11_11) = all_1365_0_815
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (923) with all_1379_0_825 yields:
% 24.93/7.58 | (1136) multiplication(all_1379_0_825, one) = zero & multiplication(all_0_11_11, all_0_9_9) = all_1379_0_825
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1136) yields:
% 24.93/7.58 | (1137) multiplication(all_1379_0_825, one) = zero
% 24.93/7.58 | (1138) multiplication(all_0_11_11, all_0_9_9) = all_1379_0_825
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (922) with all_1381_0_826 yields:
% 24.93/7.58 | (1139) multiplication(all_1381_0_826, all_0_12_12) = all_289_1_171 & multiplication(all_0_11_11, all_0_9_9) = all_1381_0_826
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1139) yields:
% 24.93/7.58 | (1140) multiplication(all_1381_0_826, all_0_12_12) = all_289_1_171
% 24.93/7.58 | (1141) multiplication(all_0_11_11, all_0_9_9) = all_1381_0_826
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (924) with all_1383_0_827 yields:
% 24.93/7.58 | (1142) multiplication(all_1383_0_827, all_0_12_12) = all_289_0_170 & multiplication(all_0_11_11, all_0_11_11) = all_1383_0_827
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1142) yields:
% 24.93/7.58 | (1143) multiplication(all_1383_0_827, all_0_12_12) = all_289_0_170
% 24.93/7.58 | (1144) multiplication(all_0_11_11, all_0_11_11) = all_1383_0_827
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (931) with all_1387_0_831, all_1387_1_832 yields:
% 24.93/7.58 | (1145) multiplication(all_0_9_9, all_0_6_6) = all_1387_0_831 & multiplication(all_0_11_11, all_0_6_6) = all_1387_1_832 & addition(all_1387_1_832, all_1387_0_831) = all_0_6_6
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1145) yields:
% 24.93/7.58 | (1146) multiplication(all_0_9_9, all_0_6_6) = all_1387_0_831
% 24.93/7.58 | (1147) multiplication(all_0_11_11, all_0_6_6) = all_1387_1_832
% 24.93/7.58 | (1148) addition(all_1387_1_832, all_1387_0_831) = all_0_6_6
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (930) with all_1389_0_833, all_1389_1_834 yields:
% 24.93/7.58 | (1149) multiplication(all_0_9_9, all_0_6_6) = all_1389_1_834 & multiplication(all_0_11_11, all_0_6_6) = all_1389_0_833 & addition(all_1389_1_834, all_1389_0_833) = all_0_6_6
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1149) yields:
% 24.93/7.58 | (1150) multiplication(all_0_9_9, all_0_6_6) = all_1389_1_834
% 24.93/7.58 | (1151) multiplication(all_0_11_11, all_0_6_6) = all_1389_0_833
% 24.93/7.58 | (1152) addition(all_1389_1_834, all_1389_0_833) = all_0_6_6
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (919) with all_1391_0_835, all_1391_1_836 yields:
% 24.93/7.58 | (1153) multiplication(all_0_9_9, all_0_9_9) = all_1391_1_836 & multiplication(all_0_9_9, all_0_11_11) = all_1391_0_835 & addition(all_1391_1_836, all_1391_0_835) = all_0_9_9
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1153) yields:
% 24.93/7.58 | (1154) multiplication(all_0_9_9, all_0_9_9) = all_1391_1_836
% 24.93/7.58 | (1155) multiplication(all_0_9_9, all_0_11_11) = all_1391_0_835
% 24.93/7.58 | (1156) addition(all_1391_1_836, all_1391_0_835) = all_0_9_9
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (921) with all_1405_0_845 yields:
% 24.93/7.58 | (1157) multiplication(all_0_11_11, all_1405_0_845) = all_283_1_166 & multiplication(all_0_12_12, all_0_11_11) = all_1405_0_845
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1157) yields:
% 24.93/7.58 | (1158) multiplication(all_0_11_11, all_1405_0_845) = all_283_1_166
% 24.93/7.58 | (1159) multiplication(all_0_12_12, all_0_11_11) = all_1405_0_845
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (918) with all_1415_0_852 yields:
% 24.93/7.58 | (1160) multiplication(all_1415_0_852, all_0_12_12) = all_293_0_173 & multiplication(all_0_9_9, all_0_11_11) = all_1415_0_852
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1160) yields:
% 24.93/7.58 | (1161) multiplication(all_1415_0_852, all_0_12_12) = all_293_0_173
% 24.93/7.58 | (1162) multiplication(all_0_9_9, all_0_11_11) = all_1415_0_852
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (947) with all_1439_0_869 yields:
% 24.93/7.58 | (1163) addition(all_69_0_42, all_1439_0_869) = all_0_0_0 & addition(all_0_8_8, all_0_1_1) = all_1439_0_869
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1163) yields:
% 24.93/7.58 | (1164) addition(all_69_0_42, all_1439_0_869) = all_0_0_0
% 24.93/7.58 | (1165) addition(all_0_8_8, all_0_1_1) = all_1439_0_869
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (920) with all_1443_0_872, all_1443_1_873 yields:
% 24.93/7.58 | (1166) multiplication(all_0_9_9, all_0_9_9) = all_1443_0_872 & multiplication(all_0_9_9, all_0_11_11) = all_1443_1_873 & addition(all_1443_1_873, all_1443_0_872) = all_0_9_9
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1166) yields:
% 24.93/7.58 | (1167) multiplication(all_0_9_9, all_0_9_9) = all_1443_0_872
% 24.93/7.58 | (1168) multiplication(all_0_9_9, all_0_11_11) = all_1443_1_873
% 24.93/7.58 | (1169) addition(all_1443_1_873, all_1443_0_872) = all_0_9_9
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (941) with all_1487_0_902, all_1487_1_903 yields:
% 24.93/7.58 | (1170) multiplication(all_0_11_11, all_293_0_173) = all_1487_0_902 & multiplication(all_0_11_11, all_293_1_174) = all_1487_1_903 & addition(all_1487_1_903, all_1487_0_902) = all_289_1_171
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1170) yields:
% 24.93/7.58 | (1171) multiplication(all_0_11_11, all_293_0_173) = all_1487_0_902
% 24.93/7.58 | (1172) multiplication(all_0_11_11, all_293_1_174) = all_1487_1_903
% 24.93/7.58 | (1173) addition(all_1487_1_903, all_1487_0_902) = all_289_1_171
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (961) with all_1519_0_923 yields:
% 24.93/7.58 | (1174) addition(all_1519_0_923, all_331_0_194) = all_0_0_0 & addition(all_0_3_3, all_0_8_8) = all_1519_0_923
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1174) yields:
% 24.93/7.58 | (1175) addition(all_1519_0_923, all_331_0_194) = all_0_0_0
% 24.93/7.58 | (1176) addition(all_0_3_3, all_0_8_8) = all_1519_0_923
% 24.93/7.58 |
% 24.93/7.58 | Instantiating (952) with all_1521_0_924 yields:
% 24.93/7.58 | (1177) addition(all_39_0_27, all_1521_0_924) = all_0_2_2 & addition(all_0_3_3, all_0_8_8) = all_1521_0_924
% 24.93/7.58 |
% 24.93/7.58 | Applying alpha-rule on (1177) yields:
% 24.93/7.58 | (1178) addition(all_39_0_27, all_1521_0_924) = all_0_2_2
% 24.93/7.58 | (1179) addition(all_0_3_3, all_0_8_8) = all_1521_0_924
% 24.93/7.58 |
% 24.93/7.59 | Instantiating (973) with all_1533_0_933, all_1533_1_934, all_1533_2_935 yields:
% 24.93/7.59 | (1180) c(all_253_2_147) = all_1533_2_935 & c(all_0_4_4) = all_1533_0_933 & c(all_0_11_11) = all_1533_1_934 & multiplication(all_1533_1_934, all_1533_0_933) = all_1533_2_935
% 24.93/7.59 |
% 24.93/7.59 | Applying alpha-rule on (1180) yields:
% 24.93/7.59 | (1181) c(all_253_2_147) = all_1533_2_935
% 24.93/7.59 | (1182) c(all_0_4_4) = all_1533_0_933
% 24.93/7.59 | (1183) c(all_0_11_11) = all_1533_1_934
% 24.93/7.59 | (1184) multiplication(all_1533_1_934, all_1533_0_933) = all_1533_2_935
% 24.93/7.59 |
% 24.93/7.59 | Instantiating (963) with all_1543_0_940 yields:
% 24.93/7.59 | (1185) addition(all_1543_0_940, all_0_11_11) = all_67_0_41 & addition(all_0_8_8, all_0_1_1) = all_1543_0_940
% 24.93/7.59 |
% 24.93/7.59 | Applying alpha-rule on (1185) yields:
% 24.93/7.59 | (1186) addition(all_1543_0_940, all_0_11_11) = all_67_0_41
% 24.93/7.59 | (1187) addition(all_0_8_8, all_0_1_1) = all_1543_0_940
% 24.93/7.59 |
% 24.93/7.59 | Instantiating (965) with all_1569_0_953 yields:
% 25.28/7.59 | (1188) addition(all_1569_0_953, all_0_3_3) = all_175_0_93 & addition(all_0_8_8, all_0_1_1) = all_1569_0_953
% 25.28/7.59 |
% 25.28/7.59 | Applying alpha-rule on (1188) yields:
% 25.28/7.59 | (1189) addition(all_1569_0_953, all_0_3_3) = all_175_0_93
% 25.28/7.59 | (1190) addition(all_0_8_8, all_0_1_1) = all_1569_0_953
% 25.28/7.59 |
% 25.28/7.59 | Instantiating (960) with all_1633_0_989 yields:
% 25.28/7.59 | (1191) addition(all_163_0_83, all_0_1_1) = all_1633_0_989 & addition(all_0_6_6, all_1633_0_989) = all_67_0_41
% 25.28/7.59 |
% 25.28/7.59 | Applying alpha-rule on (1191) yields:
% 25.28/7.59 | (1192) addition(all_163_0_83, all_0_1_1) = all_1633_0_989
% 25.28/7.59 | (1193) addition(all_0_6_6, all_1633_0_989) = all_67_0_41
% 25.28/7.59 |
% 25.28/7.59 | Instantiating (962) with all_1637_0_991 yields:
% 25.28/7.59 | (1194) addition(all_1637_0_991, all_0_10_10) = all_41_0_28 & addition(all_0_8_8, all_0_3_3) = all_1637_0_991
% 25.28/7.59 |
% 25.28/7.59 | Applying alpha-rule on (1194) yields:
% 25.28/7.59 | (1195) addition(all_1637_0_991, all_0_10_10) = all_41_0_28
% 25.28/7.59 | (1196) addition(all_0_8_8, all_0_3_3) = all_1637_0_991
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (29) with all_0_4_4, all_591_0_344, all_1533_0_933 and discharging atoms c(all_0_4_4) = all_1533_0_933, c(all_0_4_4) = all_591_0_344, yields:
% 25.28/7.59 | (1197) all_1533_0_933 = all_591_0_344
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (29) with all_0_4_4, all_415_1_240, all_1533_0_933 and discharging atoms c(all_0_4_4) = all_1533_0_933, c(all_0_4_4) = all_415_1_240, yields:
% 25.28/7.59 | (1198) all_1533_0_933 = all_415_1_240
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_133_1_66, all_0_11_11, all_1363_0_814, all_241_2_136 and discharging atoms multiplication(all_133_1_66, all_0_11_11) = all_1363_0_814, multiplication(all_133_1_66, all_0_11_11) = all_241_2_136, yields:
% 25.28/7.59 | (1199) all_1363_0_814 = all_241_2_136
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_4_4, all_599_0_351, all_947_0_571 and discharging atoms multiplication(all_0_9_9, all_0_4_4) = all_947_0_571, multiplication(all_0_9_9, all_0_4_4) = all_599_0_351, yields:
% 25.28/7.59 | (1200) all_947_0_571 = all_599_0_351
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_4_4, all_411_1_236, all_947_0_571 and discharging atoms multiplication(all_0_9_9, all_0_4_4) = all_947_0_571, multiplication(all_0_9_9, all_0_4_4) = all_411_1_236, yields:
% 25.28/7.59 | (1201) all_947_0_571 = all_411_1_236
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_11_11, all_1415_0_852, all_1443_1_873 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_1443_1_873, multiplication(all_0_9_9, all_0_11_11) = all_1415_0_852, yields:
% 25.28/7.59 | (1202) all_1443_1_873 = all_1415_0_852
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_11_11, all_1345_0_805, all_1415_0_852 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_1415_0_852, multiplication(all_0_9_9, all_0_11_11) = all_1345_0_805, yields:
% 25.28/7.59 | (1203) all_1415_0_852 = all_1345_0_805
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_11_11, all_1345_0_805, all_1391_0_835 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_1391_0_835, multiplication(all_0_9_9, all_0_11_11) = all_1345_0_805, yields:
% 25.28/7.59 | (1204) all_1391_0_835 = all_1345_0_805
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_11_11, all_1345_0_805, all_1349_0_807 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_1349_0_807, multiplication(all_0_9_9, all_0_11_11) = all_1345_0_805, yields:
% 25.28/7.59 | (1205) all_1349_0_807 = all_1345_0_805
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (15) with all_1345_0_805, all_0_11_11, all_0_9_9 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_1345_0_805, complement(all_0_11_11, all_0_9_9), yields:
% 25.28/7.59 | (1206) all_1345_0_805 = zero
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_11_11, all_1313_0_787, all_1349_0_807 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_1349_0_807, multiplication(all_0_9_9, all_0_11_11) = all_1313_0_787, yields:
% 25.28/7.59 | (1207) all_1349_0_807 = all_1313_0_787
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_11_11, all_641_0_378, all_1391_0_835 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_1391_0_835, multiplication(all_0_9_9, all_0_11_11) = all_641_0_378, yields:
% 25.28/7.59 | (1208) all_1391_0_835 = all_641_0_378
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_11_11, all_607_0_357, all_1443_1_873 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_1443_1_873, multiplication(all_0_9_9, all_0_11_11) = all_607_0_357, yields:
% 25.28/7.59 | (1209) all_1443_1_873 = all_607_0_357
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_11_11, all_551_1_318, all_1345_0_805 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_1345_0_805, multiplication(all_0_9_9, all_0_11_11) = all_551_1_318, yields:
% 25.28/7.59 | (1210) all_1345_0_805 = all_551_1_318
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_9_9, all_0_12_12, all_947_1_572, all_0_8_8 and discharging atoms multiplication(all_0_9_9, all_0_12_12) = all_947_1_572, multiplication(all_0_9_9, all_0_12_12) = all_0_8_8, yields:
% 25.28/7.59 | (1211) all_947_1_572 = all_0_8_8
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_11_11, all_293_0_173, all_843_1_509, all_1487_0_902 and discharging atoms multiplication(all_0_11_11, all_293_0_173) = all_1487_0_902, multiplication(all_0_11_11, all_293_0_173) = all_843_1_509, yields:
% 25.28/7.59 | (1212) all_1487_0_902 = all_843_1_509
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_11_11, all_289_0_170, all_629_0_370, all_687_1_407 and discharging atoms multiplication(all_0_11_11, all_289_0_170) = all_687_1_407, multiplication(all_0_11_11, all_289_0_170) = all_629_0_370, yields:
% 25.28/7.59 | (1213) all_687_1_407 = all_629_0_370
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_11_11, all_289_1_171, all_629_1_371, all_687_0_406 and discharging atoms multiplication(all_0_11_11, all_289_1_171) = all_687_0_406, multiplication(all_0_11_11, all_289_1_171) = all_629_1_371, yields:
% 25.28/7.59 | (1214) all_687_0_406 = all_629_1_371
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_11_11, all_0_6_6, all_1387_1_832, all_1389_0_833 and discharging atoms multiplication(all_0_11_11, all_0_6_6) = all_1389_0_833, multiplication(all_0_11_11, all_0_6_6) = all_1387_1_832, yields:
% 25.28/7.59 | (1215) all_1389_0_833 = all_1387_1_832
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_1379_0_825, all_1381_0_826 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_1381_0_826, multiplication(all_0_11_11, all_0_9_9) = all_1379_0_825, yields:
% 25.28/7.59 | (1216) all_1381_0_826 = all_1379_0_825
% 25.28/7.59 |
% 25.28/7.59 | Instantiating formula (32) with all_1379_0_825, all_0_11_11, all_0_9_9 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_1379_0_825, complement(all_0_11_11, all_0_9_9), yields:
% 25.28/7.60 | (1217) all_1379_0_825 = zero
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_1315_0_788, all_1337_1_801 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_1337_1_801, multiplication(all_0_11_11, all_0_9_9) = all_1315_0_788, yields:
% 25.28/7.60 | (1218) all_1337_1_801 = all_1315_0_788
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_1311_0_786, all_1315_0_788 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_1315_0_788, multiplication(all_0_11_11, all_0_9_9) = all_1311_0_786, yields:
% 25.28/7.60 | (1219) all_1315_0_788 = all_1311_0_786
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_605_0_355, all_1379_0_825 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_1379_0_825, multiplication(all_0_11_11, all_0_9_9) = all_605_0_355, yields:
% 25.28/7.60 | (1220) all_1379_0_825 = all_605_0_355
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_605_0_355, all_1315_0_788 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_1315_0_788, multiplication(all_0_11_11, all_0_9_9) = all_605_0_355, yields:
% 25.28/7.60 | (1221) all_1315_0_788 = all_605_0_355
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_595_1_349, all_1337_1_801 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_1337_1_801, multiplication(all_0_11_11, all_0_9_9) = all_595_1_349, yields:
% 25.28/7.60 | (1222) all_1337_1_801 = all_595_1_349
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_573_0_334, all_1381_0_826 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_1381_0_826, multiplication(all_0_11_11, all_0_9_9) = all_573_0_334, yields:
% 25.28/7.60 | (1223) all_1381_0_826 = all_573_0_334
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_9_9, all_569_0_332, all_605_0_355 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_605_0_355, multiplication(all_0_11_11, all_0_9_9) = all_569_0_332, yields:
% 25.28/7.60 | (1224) all_605_0_355 = all_569_0_332
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_11_11, all_1337_0_800, all_1383_0_827 and discharging atoms multiplication(all_0_11_11, all_0_11_11) = all_1383_0_827, multiplication(all_0_11_11, all_0_11_11) = all_1337_0_800, yields:
% 25.28/7.60 | (1225) all_1383_0_827 = all_1337_0_800
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_11_11, all_1315_1_789, all_1383_0_827 and discharging atoms multiplication(all_0_11_11, all_0_11_11) = all_1383_0_827, multiplication(all_0_11_11, all_0_11_11) = all_1315_1_789, yields:
% 25.28/7.60 | (1226) all_1383_0_827 = all_1315_1_789
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_11_11, all_641_1_379, all_1315_1_789 and discharging atoms multiplication(all_0_11_11, all_0_11_11) = all_1315_1_789, multiplication(all_0_11_11, all_0_11_11) = all_641_1_379, yields:
% 25.28/7.60 | (1227) all_1315_1_789 = all_641_1_379
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_11_11, all_565_0_329, all_1383_0_827 and discharging atoms multiplication(all_0_11_11, all_0_11_11) = all_1383_0_827, multiplication(all_0_11_11, all_0_11_11) = all_565_0_329, yields:
% 25.28/7.60 | (1228) all_1383_0_827 = all_565_0_329
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_11_11, all_0_11_11, all_551_0_317, all_1315_1_789 and discharging atoms multiplication(all_0_11_11, all_0_11_11) = all_1315_1_789, multiplication(all_0_11_11, all_0_11_11) = all_551_0_317, yields:
% 25.28/7.60 | (1229) all_1315_1_789 = all_551_0_317
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_12_12, all_0_11_11, all_1365_0_815, all_0_6_6 and discharging atoms multiplication(all_0_12_12, all_0_11_11) = all_1365_0_815, multiplication(all_0_12_12, all_0_11_11) = all_0_6_6, yields:
% 25.28/7.60 | (1230) all_1365_0_815 = all_0_6_6
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_12_12, all_0_11_11, all_1365_0_815, all_1405_0_845 and discharging atoms multiplication(all_0_12_12, all_0_11_11) = all_1405_0_845, multiplication(all_0_12_12, all_0_11_11) = all_1365_0_815, yields:
% 25.28/7.60 | (1231) all_1405_0_845 = all_1365_0_815
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (45) with all_0_12_12, all_0_11_11, all_611_0_359, all_1405_0_845 and discharging atoms multiplication(all_0_12_12, all_0_11_11) = all_1405_0_845, multiplication(all_0_12_12, all_0_11_11) = all_611_0_359, yields:
% 25.28/7.60 | (1232) all_1405_0_845 = all_611_0_359
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (38) with all_0_1_1, all_599_0_351 and discharging atoms multiplication(one, all_599_0_351) = all_0_1_1, yields:
% 25.28/7.60 | (1233) all_599_0_351 = all_0_1_1
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (38) with all_241_2_136, all_585_0_341 and discharging atoms multiplication(one, all_585_0_341) = all_241_2_136, yields:
% 25.28/7.60 | (1234) all_585_0_341 = all_241_2_136
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (38) with all_627_1_369, all_289_0_170 and discharging atoms multiplication(one, all_289_0_170) = all_627_1_369, yields:
% 25.28/7.60 | (1235) all_627_1_369 = all_289_0_170
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (38) with all_627_0_368, all_289_1_171 and discharging atoms multiplication(one, all_289_1_171) = all_627_0_368, yields:
% 25.28/7.60 | (1236) all_627_0_368 = all_289_1_171
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_163_0_83, all_0_1_1, all_1289_0_772, all_1633_0_989 and discharging atoms addition(all_163_0_83, all_0_1_1) = all_1633_0_989, addition(all_163_0_83, all_0_1_1) = all_1289_0_772, yields:
% 25.28/7.60 | (1237) all_1633_0_989 = all_1289_0_772
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_163_0_83, all_0_1_1, all_759_0_451, all_1633_0_989 and discharging atoms addition(all_163_0_83, all_0_1_1) = all_1633_0_989, addition(all_163_0_83, all_0_1_1) = all_759_0_451, yields:
% 25.28/7.60 | (1238) all_1633_0_989 = all_759_0_451
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_3_3, all_0_8_8, all_1519_0_923, all_1521_0_924 and discharging atoms addition(all_0_3_3, all_0_8_8) = all_1521_0_924, addition(all_0_3_3, all_0_8_8) = all_1519_0_923, yields:
% 25.28/7.60 | (1239) all_1521_0_924 = all_1519_0_923
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_3_3, all_0_8_8, all_1271_0_763, all_1521_0_924 and discharging atoms addition(all_0_3_3, all_0_8_8) = all_1521_0_924, addition(all_0_3_3, all_0_8_8) = all_1271_0_763, yields:
% 25.28/7.60 | (1240) all_1521_0_924 = all_1271_0_763
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_3_3, all_0_8_8, all_907_0_547, all_1521_0_924 and discharging atoms addition(all_0_3_3, all_0_8_8) = all_1521_0_924, addition(all_0_3_3, all_0_8_8) = all_907_0_547, yields:
% 25.28/7.60 | (1241) all_1521_0_924 = all_907_0_547
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_3_3, all_0_8_8, all_541_0_311, all_131_0_64 and discharging atoms addition(all_0_3_3, all_0_8_8) = all_541_0_311, addition(all_0_3_3, all_0_8_8) = all_131_0_64, yields:
% 25.28/7.60 | (1242) all_541_0_311 = all_131_0_64
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_3_3, all_0_8_8, all_541_0_311, all_907_0_547 and discharging atoms addition(all_0_3_3, all_0_8_8) = all_907_0_547, addition(all_0_3_3, all_0_8_8) = all_541_0_311, yields:
% 25.28/7.60 | (1243) all_907_0_547 = all_541_0_311
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_3_3, all_0_8_8, all_495_0_285, all_1521_0_924 and discharging atoms addition(all_0_3_3, all_0_8_8) = all_1521_0_924, addition(all_0_3_3, all_0_8_8) = all_495_0_285, yields:
% 25.28/7.60 | (1244) all_1521_0_924 = all_495_0_285
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_3_3, all_0_8_8, all_163_0_83, all_541_0_311 and discharging atoms addition(all_0_3_3, all_0_8_8) = all_541_0_311, addition(all_0_3_3, all_0_8_8) = all_163_0_83, yields:
% 25.28/7.60 | (1245) all_541_0_311 = all_163_0_83
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_1543_0_940, all_1569_0_953 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_1569_0_953, addition(all_0_8_8, all_0_1_1) = all_1543_0_940, yields:
% 25.28/7.60 | (1246) all_1569_0_953 = all_1543_0_940
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_1439_0_869, all_209_0_112 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_1439_0_869, addition(all_0_8_8, all_0_1_1) = all_209_0_112, yields:
% 25.28/7.60 | (1247) all_1439_0_869 = all_209_0_112
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_1273_0_764, all_1543_0_940 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_1543_0_940, addition(all_0_8_8, all_0_1_1) = all_1273_0_764, yields:
% 25.28/7.60 | (1248) all_1543_0_940 = all_1273_0_764
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_1163_0_699, all_1273_0_764 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_1273_0_764, addition(all_0_8_8, all_0_1_1) = all_1163_0_699, yields:
% 25.28/7.60 | (1249) all_1273_0_764 = all_1163_0_699
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_879_0_532, all_1163_0_699 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_1163_0_699, addition(all_0_8_8, all_0_1_1) = all_879_0_532, yields:
% 25.28/7.60 | (1250) all_1163_0_699 = all_879_0_532
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_761_0_452, all_1439_0_869 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_1439_0_869, addition(all_0_8_8, all_0_1_1) = all_761_0_452, yields:
% 25.28/7.60 | (1251) all_1439_0_869 = all_761_0_452
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_761_0_452, all_879_0_532 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_879_0_532, addition(all_0_8_8, all_0_1_1) = all_761_0_452, yields:
% 25.28/7.60 | (1252) all_879_0_532 = all_761_0_452
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_455_0_264, all_1439_0_869 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_1439_0_869, addition(all_0_8_8, all_0_1_1) = all_455_0_264, yields:
% 25.28/7.60 | (1253) all_1439_0_869 = all_455_0_264
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_141_0_71, all_1569_0_953 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_1569_0_953, addition(all_0_8_8, all_0_1_1) = all_141_0_71, yields:
% 25.28/7.60 | (1254) all_1569_0_953 = all_141_0_71
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_3_3, all_1281_0_768, all_163_0_83 and discharging atoms addition(all_0_8_8, all_0_3_3) = all_1281_0_768, addition(all_0_8_8, all_0_3_3) = all_163_0_83, yields:
% 25.28/7.60 | (1255) all_1281_0_768 = all_163_0_83
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_3_3, all_1281_0_768, all_1637_0_991 and discharging atoms addition(all_0_8_8, all_0_3_3) = all_1637_0_991, addition(all_0_8_8, all_0_3_3) = all_1281_0_768, yields:
% 25.28/7.60 | (1256) all_1637_0_991 = all_1281_0_768
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_8_8, all_0_3_3, all_679_0_401, all_1637_0_991 and discharging atoms addition(all_0_8_8, all_0_3_3) = all_1637_0_991, addition(all_0_8_8, all_0_3_3) = all_679_0_401, yields:
% 25.28/7.60 | (1257) all_1637_0_991 = all_679_0_401
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_10_10, all_0_6_6, all_951_0_574, all_39_0_27 and discharging atoms addition(all_0_10_10, all_0_6_6) = all_951_0_574, addition(all_0_10_10, all_0_6_6) = all_39_0_27, yields:
% 25.28/7.60 | (1258) all_951_0_574 = all_39_0_27
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_10_10, all_0_6_6, all_865_0_523, all_951_0_574 and discharging atoms addition(all_0_10_10, all_0_6_6) = all_951_0_574, addition(all_0_10_10, all_0_6_6) = all_865_0_523, yields:
% 25.28/7.60 | (1259) all_951_0_574 = all_865_0_523
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (19) with all_0_10_10, all_0_6_6, all_367_0_203, all_951_0_574 and discharging atoms addition(all_0_10_10, all_0_6_6) = all_951_0_574, addition(all_0_10_10, all_0_6_6) = all_367_0_203, yields:
% 25.28/7.60 | (1260) all_951_0_574 = all_367_0_203
% 25.28/7.60 |
% 25.28/7.60 | Instantiating formula (22) with all_1533_0_933, all_133_1_66, all_0_4_4 and discharging atoms c(all_0_4_4) = all_1533_0_933, complement(all_0_4_4, all_133_1_66), test(all_0_4_4), yields:
% 25.28/7.60 | (1261) all_1533_0_933 = all_133_1_66
% 25.28/7.60 |
% 25.28/7.60 | Combining equations (1256,1257) yields a new equation:
% 25.28/7.60 | (1262) all_1281_0_768 = all_679_0_401
% 25.28/7.60 |
% 25.28/7.60 | Simplifying 1262 yields:
% 25.28/7.60 | (1263) all_1281_0_768 = all_679_0_401
% 25.28/7.60 |
% 25.28/7.61 | Combining equations (1238,1237) yields a new equation:
% 25.28/7.61 | (1264) all_1289_0_772 = all_759_0_451
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1246,1254) yields a new equation:
% 25.28/7.61 | (1265) all_1543_0_940 = all_141_0_71
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1265 yields:
% 25.28/7.61 | (1266) all_1543_0_940 = all_141_0_71
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1248,1266) yields a new equation:
% 25.28/7.61 | (1267) all_1273_0_764 = all_141_0_71
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1267 yields:
% 25.28/7.61 | (1268) all_1273_0_764 = all_141_0_71
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1261,1197) yields a new equation:
% 25.28/7.61 | (1269) all_591_0_344 = all_133_1_66
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1198,1197) yields a new equation:
% 25.28/7.61 | (1270) all_591_0_344 = all_415_1_240
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1240,1239) yields a new equation:
% 25.28/7.61 | (1271) all_1519_0_923 = all_1271_0_763
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1244,1239) yields a new equation:
% 25.28/7.61 | (1272) all_1519_0_923 = all_495_0_285
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1241,1239) yields a new equation:
% 25.28/7.61 | (1273) all_1519_0_923 = all_907_0_547
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1272,1271) yields a new equation:
% 25.28/7.61 | (1274) all_1271_0_763 = all_495_0_285
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1273,1271) yields a new equation:
% 25.28/7.61 | (1275) all_1271_0_763 = all_907_0_547
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1202,1209) yields a new equation:
% 25.28/7.61 | (1276) all_1415_0_852 = all_607_0_357
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1276 yields:
% 25.28/7.61 | (1277) all_1415_0_852 = all_607_0_357
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1251,1253) yields a new equation:
% 25.28/7.61 | (1278) all_761_0_452 = all_455_0_264
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1278 yields:
% 25.28/7.61 | (1279) all_761_0_452 = all_455_0_264
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1247,1253) yields a new equation:
% 25.28/7.61 | (1280) all_455_0_264 = all_209_0_112
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1203,1277) yields a new equation:
% 25.28/7.61 | (1281) all_1345_0_805 = all_607_0_357
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1281 yields:
% 25.28/7.61 | (1282) all_1345_0_805 = all_607_0_357
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1231,1232) yields a new equation:
% 25.28/7.61 | (1283) all_1365_0_815 = all_611_0_359
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1283 yields:
% 25.28/7.61 | (1284) all_1365_0_815 = all_611_0_359
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1204,1208) yields a new equation:
% 25.28/7.61 | (1285) all_1345_0_805 = all_641_0_378
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1285 yields:
% 25.28/7.61 | (1286) all_1345_0_805 = all_641_0_378
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1228,1225) yields a new equation:
% 25.28/7.61 | (1287) all_1337_0_800 = all_565_0_329
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1226,1225) yields a new equation:
% 25.28/7.61 | (1288) all_1337_0_800 = all_1315_1_789
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1216,1223) yields a new equation:
% 25.28/7.61 | (1289) all_1379_0_825 = all_573_0_334
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1289 yields:
% 25.28/7.61 | (1290) all_1379_0_825 = all_573_0_334
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1217,1290) yields a new equation:
% 25.28/7.61 | (1291) all_573_0_334 = zero
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1220,1290) yields a new equation:
% 25.28/7.61 | (1292) all_605_0_355 = all_573_0_334
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1292 yields:
% 25.28/7.61 | (1293) all_605_0_355 = all_573_0_334
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1284,1230) yields a new equation:
% 25.28/7.61 | (1294) all_611_0_359 = all_0_6_6
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1294 yields:
% 25.28/7.61 | (1295) all_611_0_359 = all_0_6_6
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1205,1207) yields a new equation:
% 25.28/7.61 | (1296) all_1345_0_805 = all_1313_0_787
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1296 yields:
% 25.28/7.61 | (1297) all_1345_0_805 = all_1313_0_787
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1282,1297) yields a new equation:
% 25.28/7.61 | (1298) all_1313_0_787 = all_607_0_357
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1210,1297) yields a new equation:
% 25.28/7.61 | (1299) all_1313_0_787 = all_551_1_318
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1286,1297) yields a new equation:
% 25.28/7.61 | (1300) all_1313_0_787 = all_641_0_378
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1206,1297) yields a new equation:
% 25.28/7.61 | (1301) all_1313_0_787 = zero
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1288,1287) yields a new equation:
% 25.28/7.61 | (1302) all_1315_1_789 = all_565_0_329
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1302 yields:
% 25.28/7.61 | (1303) all_1315_1_789 = all_565_0_329
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1218,1222) yields a new equation:
% 25.28/7.61 | (1304) all_1315_0_788 = all_595_1_349
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1304 yields:
% 25.28/7.61 | (1305) all_1315_0_788 = all_595_1_349
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1221,1219) yields a new equation:
% 25.28/7.61 | (1306) all_1311_0_786 = all_605_0_355
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1305,1219) yields a new equation:
% 25.28/7.61 | (1307) all_1311_0_786 = all_595_1_349
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1303,1227) yields a new equation:
% 25.28/7.61 | (1308) all_641_1_379 = all_565_0_329
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1229,1227) yields a new equation:
% 25.28/7.61 | (1309) all_641_1_379 = all_551_0_317
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1301,1300) yields a new equation:
% 25.28/7.61 | (1310) all_641_0_378 = zero
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1299,1300) yields a new equation:
% 25.28/7.61 | (1311) all_641_0_378 = all_551_1_318
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1298,1300) yields a new equation:
% 25.28/7.61 | (1312) all_641_0_378 = all_607_0_357
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1306,1307) yields a new equation:
% 25.28/7.61 | (1313) all_605_0_355 = all_595_1_349
% 25.28/7.61 |
% 25.28/7.61 | Simplifying 1313 yields:
% 25.28/7.61 | (1314) all_605_0_355 = all_595_1_349
% 25.28/7.61 |
% 25.28/7.61 | Combining equations (1255,1263) yields a new equation:
% 25.28/7.62 | (1315) all_679_0_401 = all_163_0_83
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1249,1268) yields a new equation:
% 25.28/7.62 | (1316) all_1163_0_699 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1316 yields:
% 25.28/7.62 | (1317) all_1163_0_699 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1275,1274) yields a new equation:
% 25.28/7.62 | (1318) all_907_0_547 = all_495_0_285
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1318 yields:
% 25.28/7.62 | (1319) all_907_0_547 = all_495_0_285
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1250,1317) yields a new equation:
% 25.28/7.62 | (1320) all_879_0_532 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1320 yields:
% 25.28/7.62 | (1321) all_879_0_532 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1258,1259) yields a new equation:
% 25.28/7.62 | (1322) all_865_0_523 = all_39_0_27
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1260,1259) yields a new equation:
% 25.28/7.62 | (1323) all_865_0_523 = all_367_0_203
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1200,1201) yields a new equation:
% 25.28/7.62 | (1324) all_599_0_351 = all_411_1_236
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1324 yields:
% 25.28/7.62 | (1325) all_599_0_351 = all_411_1_236
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1243,1319) yields a new equation:
% 25.28/7.62 | (1326) all_541_0_311 = all_495_0_285
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1326 yields:
% 25.28/7.62 | (1327) all_541_0_311 = all_495_0_285
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1252,1321) yields a new equation:
% 25.28/7.62 | (1328) all_761_0_452 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1328 yields:
% 25.28/7.62 | (1329) all_761_0_452 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1322,1323) yields a new equation:
% 25.28/7.62 | (1330) all_367_0_203 = all_39_0_27
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1279,1329) yields a new equation:
% 25.28/7.62 | (1331) all_455_0_264 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1331 yields:
% 25.28/7.62 | (1332) all_455_0_264 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1311,1312) yields a new equation:
% 25.28/7.62 | (1333) all_607_0_357 = all_551_1_318
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1310,1312) yields a new equation:
% 25.28/7.62 | (1334) all_607_0_357 = zero
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1308,1309) yields a new equation:
% 25.28/7.62 | (1335) all_565_0_329 = all_551_0_317
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1335 yields:
% 25.28/7.62 | (1336) all_565_0_329 = all_551_0_317
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1334,1333) yields a new equation:
% 25.28/7.62 | (1337) all_551_1_318 = zero
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1293,1314) yields a new equation:
% 25.28/7.62 | (1338) all_595_1_349 = all_573_0_334
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1224,1314) yields a new equation:
% 25.28/7.62 | (1339) all_595_1_349 = all_569_0_332
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1233,1325) yields a new equation:
% 25.28/7.62 | (1340) all_411_1_236 = all_0_1_1
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1338,1339) yields a new equation:
% 25.28/7.62 | (1341) all_573_0_334 = all_569_0_332
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1341 yields:
% 25.28/7.62 | (1342) all_573_0_334 = all_569_0_332
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1270,1269) yields a new equation:
% 25.28/7.62 | (1343) all_415_1_240 = all_133_1_66
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1343 yields:
% 25.28/7.62 | (1344) all_415_1_240 = all_133_1_66
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1291,1342) yields a new equation:
% 25.28/7.62 | (1345) all_569_0_332 = zero
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1242,1327) yields a new equation:
% 25.28/7.62 | (1346) all_495_0_285 = all_131_0_64
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1245,1327) yields a new equation:
% 25.28/7.62 | (1347) all_495_0_285 = all_163_0_83
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1347,1346) yields a new equation:
% 25.28/7.62 | (1348) all_163_0_83 = all_131_0_64
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1348 yields:
% 25.28/7.62 | (1349) all_163_0_83 = all_131_0_64
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1280,1332) yields a new equation:
% 25.28/7.62 | (1350) all_209_0_112 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Simplifying 1350 yields:
% 25.28/7.62 | (1351) all_209_0_112 = all_141_0_71
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1345,1342) yields a new equation:
% 25.28/7.62 | (1291) all_573_0_334 = zero
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1337,1333) yields a new equation:
% 25.28/7.62 | (1334) all_607_0_357 = zero
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1334,1312) yields a new equation:
% 25.28/7.62 | (1310) all_641_0_378 = zero
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1349,1315) yields a new equation:
% 25.28/7.62 | (1355) all_679_0_401 = all_131_0_64
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1340,1201) yields a new equation:
% 25.28/7.62 | (1356) all_947_0_571 = all_0_1_1
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1355,1263) yields a new equation:
% 25.28/7.62 | (1357) all_1281_0_768 = all_131_0_64
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1336,1287) yields a new equation:
% 25.28/7.62 | (1358) all_1337_0_800 = all_551_0_317
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1291,1223) yields a new equation:
% 25.28/7.62 | (1359) all_1381_0_826 = zero
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1358,1225) yields a new equation:
% 25.28/7.62 | (1360) all_1383_0_827 = all_551_0_317
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1295,1232) yields a new equation:
% 25.28/7.62 | (1361) all_1405_0_845 = all_0_6_6
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1334,1277) yields a new equation:
% 25.28/7.62 | (1362) all_1415_0_852 = zero
% 25.28/7.62 |
% 25.28/7.62 | Combining equations (1264,1237) yields a new equation:
% 25.28/7.62 | (1238) all_1633_0_989 = all_759_0_451
% 25.28/7.62 |
% 25.28/7.62 | From (1344) and (993) follows:
% 25.28/7.62 | (392) c(all_0_4_4) = all_133_1_66
% 25.28/7.62 |
% 25.28/7.62 | From (1362) and (1161) follows:
% 25.28/7.63 | (1365) multiplication(zero, all_0_12_12) = all_293_0_173
% 25.28/7.63 |
% 25.28/7.63 | From (1360) and (1143) follows:
% 25.28/7.63 | (1366) multiplication(all_551_0_317, all_0_12_12) = all_289_0_170
% 25.28/7.63 |
% 25.28/7.63 | From (1359) and (1140) follows:
% 25.28/7.63 | (1367) multiplication(zero, all_0_12_12) = all_289_1_171
% 25.28/7.63 |
% 25.28/7.63 | From (1199) and (1132) follows:
% 25.28/7.63 | (801) multiplication(all_133_1_66, all_0_11_11) = all_241_2_136
% 25.28/7.63 |
% 25.28/7.63 | From (1361) and (1158) follows:
% 25.28/7.63 | (1369) multiplication(all_0_11_11, all_0_6_6) = all_283_1_166
% 25.28/7.63 |
% 25.28/7.63 | From (1212) and (1171) follows:
% 25.28/7.63 | (1076) multiplication(all_0_11_11, all_293_0_173) = all_843_1_509
% 25.28/7.63 |
% 25.28/7.63 | From (1213) and (1060) follows:
% 25.28/7.63 | (1049) multiplication(all_0_11_11, all_289_0_170) = all_629_0_370
% 25.28/7.63 |
% 25.28/7.63 | From (1214) and (1061) follows:
% 25.28/7.63 | (1050) multiplication(all_0_11_11, all_289_1_171) = all_629_1_371
% 25.28/7.63 |
% 25.28/7.63 | From (1234) and (1020) follows:
% 25.28/7.63 | (802) multiplication(all_0_11_11, all_133_1_66) = all_241_2_136
% 25.28/7.63 |
% 25.28/7.63 | From (1215) and (1151) follows:
% 25.28/7.63 | (1147) multiplication(all_0_11_11, all_0_6_6) = all_1387_1_832
% 25.28/7.63 |
% 25.28/7.63 | From (1295) and (1043) follows:
% 25.28/7.63 | (26) multiplication(all_0_12_12, all_0_11_11) = all_0_6_6
% 25.28/7.63 |
% 25.28/7.63 | From (1254) and (1189) follows:
% 25.28/7.63 | (1376) addition(all_141_0_71, all_0_3_3) = all_175_0_93
% 25.28/7.63 |
% 25.28/7.63 | From (1357) and (1105) follows:
% 25.28/7.63 | (1377) addition(all_131_0_64, all_0_1_1) = all_175_0_93
% 25.28/7.63 |
% 25.28/7.63 | From (1211)(1356) and (1091) follows:
% 25.28/7.63 | (1378) addition(all_0_8_8, all_0_1_1) = all_0_9_9
% 25.28/7.63 |
% 25.28/7.63 | From (1213)(1214) and (1062) follows:
% 25.28/7.63 | (1379) addition(all_629_0_370, all_629_1_371) = all_289_0_170
% 25.28/7.63 |
% 25.28/7.63 | From (1309)(1310) and (1055) follows:
% 25.28/7.63 | (1380) addition(all_551_0_317, zero) = all_0_11_11
% 25.28/7.63 |
% 25.28/7.63 | From (1235)(1236) and (1047) follows:
% 25.28/7.63 | (826) addition(all_289_0_170, all_289_1_171) = all_0_10_10
% 25.28/7.63 |
% 25.28/7.63 | From (1351) and (1064) follows:
% 25.28/7.63 | (1382) addition(all_141_0_71, all_0_3_3) = all_735_0_439
% 25.28/7.63 |
% 25.28/7.63 | From (1349) and (1070) follows:
% 25.28/7.63 | (1383) addition(all_131_0_64, all_0_1_1) = all_759_0_451
% 25.28/7.63 |
% 25.28/7.63 | From (1238) and (1193) follows:
% 25.28/7.63 | (1384) addition(all_0_6_6, all_759_0_451) = all_67_0_41
% 25.28/7.63 |
% 25.28/7.63 | From (1351) and (482) follows:
% 25.28/7.63 | (954) addition(all_0_8_8, all_0_1_1) = all_141_0_71
% 25.28/7.63 |
% 25.28/7.63 | From (1330) and (981) follows:
% 25.28/7.63 | (864) addition(all_0_10_10, all_0_6_6) = all_39_0_27
% 25.28/7.63 |
% 25.28/7.63 | From (1268) and (1103) follows:
% 25.28/7.63 | (1387) addition(all_0_11_11, all_141_0_71) = all_67_0_41
% 25.28/7.63 |
% 25.28/7.63 +-Applying beta-rule and splitting (978), into two cases.
% 25.28/7.63 |-Branch one:
% 25.28/7.63 | (1388) complement(all_0_4_4, all_0_12_12)
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (45) with all_0_11_11, all_0_6_6, all_283_1_166, all_1387_1_832 and discharging atoms multiplication(all_0_11_11, all_0_6_6) = all_1387_1_832, multiplication(all_0_11_11, all_0_6_6) = all_283_1_166, yields:
% 25.28/7.63 | (1389) all_1387_1_832 = all_283_1_166
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (27) with all_293_0_173, all_0_12_12 and discharging atoms multiplication(zero, all_0_12_12) = all_293_0_173, yields:
% 25.28/7.63 | (1390) all_293_0_173 = zero
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (45) with zero, all_0_12_12, all_289_1_171, all_293_0_173 and discharging atoms multiplication(zero, all_0_12_12) = all_293_0_173, multiplication(zero, all_0_12_12) = all_289_1_171, yields:
% 25.28/7.63 | (1391) all_293_0_173 = all_289_1_171
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (50) with all_0_11_11, all_551_0_317 and discharging atoms addition(all_551_0_317, zero) = all_0_11_11, yields:
% 25.28/7.63 | (1392) all_551_0_317 = all_0_11_11
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (19) with all_141_0_71, all_0_3_3, all_175_0_93, all_735_0_439 and discharging atoms addition(all_141_0_71, all_0_3_3) = all_735_0_439, addition(all_141_0_71, all_0_3_3) = all_175_0_93, yields:
% 25.28/7.63 | (1393) all_735_0_439 = all_175_0_93
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (19) with all_131_0_64, all_0_1_1, all_175_0_93, all_759_0_451 and discharging atoms addition(all_131_0_64, all_0_1_1) = all_759_0_451, addition(all_131_0_64, all_0_1_1) = all_175_0_93, yields:
% 25.28/7.63 | (1394) all_759_0_451 = all_175_0_93
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (19) with all_0_8_8, all_0_1_1, all_0_9_9, all_141_0_71 and discharging atoms addition(all_0_8_8, all_0_1_1) = all_141_0_71, addition(all_0_8_8, all_0_1_1) = all_0_9_9, yields:
% 25.28/7.63 | (1395) all_141_0_71 = all_0_9_9
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (22) with all_133_1_66, all_0_12_12, all_0_4_4 and discharging atoms c(all_0_4_4) = all_133_1_66, complement(all_0_4_4, all_0_12_12), test(all_0_4_4), yields:
% 25.28/7.63 | (1396) all_133_1_66 = all_0_12_12
% 25.28/7.63 |
% 25.28/7.63 | Combining equations (1390,1391) yields a new equation:
% 25.28/7.63 | (1397) all_289_1_171 = zero
% 25.28/7.63 |
% 25.28/7.63 | Combining equations (1397,1391) yields a new equation:
% 25.28/7.63 | (1390) all_293_0_173 = zero
% 25.28/7.63 |
% 25.28/7.63 | From (1392) and (1366) follows:
% 25.28/7.63 | (1399) multiplication(all_0_11_11, all_0_12_12) = all_289_0_170
% 25.28/7.63 |
% 25.28/7.63 | From (1396) and (801) follows:
% 25.28/7.63 | (1400) multiplication(all_0_12_12, all_0_11_11) = all_241_2_136
% 25.28/7.63 |
% 25.28/7.63 | From (1390) and (1076) follows:
% 25.28/7.63 | (1401) multiplication(all_0_11_11, zero) = all_843_1_509
% 25.28/7.63 |
% 25.28/7.63 | From (1397) and (1050) follows:
% 25.28/7.63 | (1402) multiplication(all_0_11_11, zero) = all_629_1_371
% 25.28/7.63 |
% 25.28/7.63 | From (1396) and (802) follows:
% 25.28/7.63 | (1403) multiplication(all_0_11_11, all_0_12_12) = all_241_2_136
% 25.28/7.63 |
% 25.28/7.63 | From (1389) and (1147) follows:
% 25.28/7.63 | (1369) multiplication(all_0_11_11, all_0_6_6) = all_283_1_166
% 25.28/7.63 |
% 25.28/7.63 | From (1397) and (826) follows:
% 25.28/7.63 | (1405) addition(all_289_0_170, zero) = all_0_10_10
% 25.28/7.63 |
% 25.28/7.63 | From (1393) and (1065) follows:
% 25.28/7.63 | (1406) addition(all_39_0_27, all_175_0_93) = all_0_0_0
% 25.28/7.63 |
% 25.28/7.63 | From (1394) and (1384) follows:
% 25.28/7.63 | (440) addition(all_0_6_6, all_175_0_93) = all_67_0_41
% 25.28/7.63 |
% 25.28/7.63 | From (1395) and (1387) follows:
% 25.28/7.63 | (1408) addition(all_0_11_11, all_0_9_9) = all_67_0_41
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (45) with all_0_11_11, all_0_12_12, all_241_2_136, all_289_0_170 and discharging atoms multiplication(all_0_11_11, all_0_12_12) = all_289_0_170, multiplication(all_0_11_11, all_0_12_12) = all_241_2_136, yields:
% 25.28/7.63 | (1409) all_289_0_170 = all_241_2_136
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (39) with all_843_1_509, all_0_11_11 and discharging atoms multiplication(all_0_11_11, zero) = all_843_1_509, yields:
% 25.28/7.63 | (1410) all_843_1_509 = zero
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (45) with all_0_11_11, zero, all_629_1_371, all_843_1_509 and discharging atoms multiplication(all_0_11_11, zero) = all_843_1_509, multiplication(all_0_11_11, zero) = all_629_1_371, yields:
% 25.28/7.63 | (1411) all_843_1_509 = all_629_1_371
% 25.28/7.63 |
% 25.28/7.63 | Instantiating formula (45) with all_0_12_12, all_0_11_11, all_241_2_136, all_0_6_6 and discharging atoms multiplication(all_0_12_12, all_0_11_11) = all_241_2_136, multiplication(all_0_12_12, all_0_11_11) = all_0_6_6, yields:
% 25.28/7.64 | (1412) all_241_2_136 = all_0_6_6
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (50) with all_0_10_10, all_289_0_170 and discharging atoms addition(all_289_0_170, zero) = all_0_10_10, yields:
% 25.28/7.64 | (1413) all_289_0_170 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (33) with all_67_0_41, all_0_9_9, all_0_11_11 and discharging atoms addition(all_0_11_11, all_0_9_9) = all_67_0_41, complement(all_0_9_9, all_0_11_11), yields:
% 25.28/7.64 | (1414) all_67_0_41 = one
% 25.28/7.64 |
% 25.28/7.64 | Combining equations (1411,1410) yields a new equation:
% 25.28/7.64 | (1415) all_629_1_371 = zero
% 25.28/7.64 |
% 25.28/7.64 | Simplifying 1415 yields:
% 25.28/7.64 | (1416) all_629_1_371 = zero
% 25.28/7.64 |
% 25.28/7.64 | Combining equations (1409,1413) yields a new equation:
% 25.28/7.64 | (1417) all_241_2_136 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | Simplifying 1417 yields:
% 25.28/7.64 | (1418) all_241_2_136 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | Combining equations (1418,1412) yields a new equation:
% 25.28/7.64 | (1419) all_0_6_6 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | From (1413) and (1049) follows:
% 25.28/7.64 | (1420) multiplication(all_0_11_11, all_0_10_10) = all_629_0_370
% 25.28/7.64 |
% 25.28/7.64 | From (1419) and (1369) follows:
% 25.28/7.64 | (1421) multiplication(all_0_11_11, all_0_10_10) = all_283_1_166
% 25.28/7.64 |
% 25.28/7.64 | From (1416)(1413) and (1379) follows:
% 25.28/7.64 | (1422) addition(all_629_0_370, zero) = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | From (1413) and (983) follows:
% 25.28/7.64 | (1423) addition(all_0_10_10, all_175_0_93) = all_379_0_211
% 25.28/7.64 |
% 25.28/7.64 | From (1413)(1419) and (1067) follows:
% 25.28/7.64 | (1424) addition(all_0_10_10, all_0_10_10) = all_751_0_447
% 25.28/7.64 |
% 25.28/7.64 | From (1419)(1414) and (440) follows:
% 25.28/7.64 | (862) addition(all_0_10_10, all_175_0_93) = one
% 25.28/7.64 |
% 25.28/7.64 | From (1419) and (864) follows:
% 25.28/7.64 | (1426) addition(all_0_10_10, all_0_10_10) = all_39_0_27
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (45) with all_0_11_11, all_0_10_10, all_283_1_166, all_629_0_370 and discharging atoms multiplication(all_0_11_11, all_0_10_10) = all_629_0_370, multiplication(all_0_11_11, all_0_10_10) = all_283_1_166, yields:
% 25.28/7.64 | (1427) all_629_0_370 = all_283_1_166
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (50) with all_0_10_10, all_629_0_370 and discharging atoms addition(all_629_0_370, zero) = all_0_10_10, yields:
% 25.28/7.64 | (1428) all_629_0_370 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (19) with all_0_10_10, all_175_0_93, all_379_0_211, one and discharging atoms addition(all_0_10_10, all_175_0_93) = all_379_0_211, addition(all_0_10_10, all_175_0_93) = one, yields:
% 25.28/7.64 | (1429) all_379_0_211 = one
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (46) with all_751_0_447, all_0_10_10 and discharging atoms addition(all_0_10_10, all_0_10_10) = all_751_0_447, yields:
% 25.28/7.64 | (1430) all_751_0_447 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (19) with all_0_10_10, all_0_10_10, all_39_0_27, all_751_0_447 and discharging atoms addition(all_0_10_10, all_0_10_10) = all_751_0_447, addition(all_0_10_10, all_0_10_10) = all_39_0_27, yields:
% 25.28/7.64 | (1431) all_751_0_447 = all_39_0_27
% 25.28/7.64 |
% 25.28/7.64 | Combining equations (1431,1430) yields a new equation:
% 25.28/7.64 | (1432) all_39_0_27 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | Simplifying 1432 yields:
% 25.28/7.64 | (1433) all_39_0_27 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | Combining equations (1427,1428) yields a new equation:
% 25.28/7.64 | (1434) all_283_1_166 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | Simplifying 1434 yields:
% 25.28/7.64 | (1435) all_283_1_166 = all_0_10_10
% 25.28/7.64 |
% 25.28/7.64 | From (1435) and (987) follows:
% 25.28/7.64 | (1436) addition(all_0_10_10, all_175_0_93) = all_409_0_234
% 25.28/7.64 |
% 25.28/7.64 | From (1433) and (1406) follows:
% 25.28/7.64 | (1437) addition(all_0_10_10, all_175_0_93) = all_0_0_0
% 25.28/7.64 |
% 25.28/7.64 | From (1429) and (1423) follows:
% 25.28/7.64 | (862) addition(all_0_10_10, all_175_0_93) = one
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (19) with all_0_10_10, all_175_0_93, all_409_0_234, one and discharging atoms addition(all_0_10_10, all_175_0_93) = all_409_0_234, addition(all_0_10_10, all_175_0_93) = one, yields:
% 25.28/7.64 | (1439) all_409_0_234 = one
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (19) with all_0_10_10, all_175_0_93, all_0_0_0, all_409_0_234 and discharging atoms addition(all_0_10_10, all_175_0_93) = all_409_0_234, addition(all_0_10_10, all_175_0_93) = all_0_0_0, yields:
% 25.28/7.64 | (1440) all_409_0_234 = all_0_0_0
% 25.28/7.64 |
% 25.28/7.64 | Combining equations (1439,1440) yields a new equation:
% 25.28/7.64 | (1441) all_0_0_0 = one
% 25.28/7.64 |
% 25.28/7.64 | Equations (1441) can reduce 17 to:
% 25.28/7.64 | (1442) $false
% 25.28/7.64 |
% 25.28/7.64 |-The branch is then unsatisfiable
% 25.28/7.64 |-Branch two:
% 25.28/7.64 | (1443) ~ complement(all_0_4_4, all_0_12_12)
% 25.28/7.64 | (1444) ? [v0] : ? [v1] : (multiplication(all_0_4_4, all_0_12_12) = v1 & multiplication(all_0_12_12, all_0_4_4) = v0 & ( ~ (v1 = zero) | ~ (v0 = zero)))
% 25.28/7.64 |
% 25.28/7.64 | Instantiating (1444) with all_1727_0_1047, all_1727_1_1048 yields:
% 25.28/7.64 | (1445) multiplication(all_0_4_4, all_0_12_12) = all_1727_0_1047 & multiplication(all_0_12_12, all_0_4_4) = all_1727_1_1048 & ( ~ (all_1727_0_1047 = zero) | ~ (all_1727_1_1048 = zero))
% 25.28/7.64 |
% 25.28/7.64 | Applying alpha-rule on (1445) yields:
% 25.28/7.64 | (1446) multiplication(all_0_4_4, all_0_12_12) = all_1727_0_1047
% 25.28/7.64 | (1447) multiplication(all_0_12_12, all_0_4_4) = all_1727_1_1048
% 25.28/7.64 | (1448) ~ (all_1727_0_1047 = zero) | ~ (all_1727_1_1048 = zero)
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (15) with all_1727_0_1047, all_0_12_12, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_12_12) = all_1727_0_1047, complement(all_0_12_12, all_0_4_4), yields:
% 25.28/7.64 | (1449) all_1727_0_1047 = zero
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (32) with all_1727_1_1048, all_0_12_12, all_0_4_4 and discharging atoms multiplication(all_0_12_12, all_0_4_4) = all_1727_1_1048, complement(all_0_12_12, all_0_4_4), yields:
% 25.28/7.64 | (1450) all_1727_1_1048 = zero
% 25.28/7.64 |
% 25.28/7.64 +-Applying beta-rule and splitting (1448), into two cases.
% 25.28/7.64 |-Branch one:
% 25.28/7.64 | (1451) ~ (all_1727_0_1047 = zero)
% 25.28/7.64 |
% 25.28/7.64 | Equations (1449) can reduce 1451 to:
% 25.28/7.64 | (1442) $false
% 25.28/7.64 |
% 25.28/7.64 |-The branch is then unsatisfiable
% 25.28/7.64 |-Branch two:
% 25.28/7.64 | (1449) all_1727_0_1047 = zero
% 25.28/7.64 | (1454) ~ (all_1727_1_1048 = zero)
% 25.28/7.64 |
% 25.28/7.64 | Equations (1450) can reduce 1454 to:
% 25.28/7.64 | (1442) $false
% 25.28/7.64 |
% 25.28/7.64 |-The branch is then unsatisfiable
% 25.28/7.64 |-Branch two:
% 25.28/7.64 | (1456) ~ complement(all_0_9_9, all_0_11_11)
% 25.28/7.64 | (1457) ? [v0] : ? [v1] : (multiplication(all_0_9_9, all_0_11_11) = v1 & multiplication(all_0_11_11, all_0_9_9) = v0 & ( ~ (v1 = zero) | ~ (v0 = zero)))
% 25.28/7.64 |
% 25.28/7.64 | Instantiating (1457) with all_345_0_1049, all_345_1_1050 yields:
% 25.28/7.64 | (1458) multiplication(all_0_9_9, all_0_11_11) = all_345_0_1049 & multiplication(all_0_11_11, all_0_9_9) = all_345_1_1050 & ( ~ (all_345_0_1049 = zero) | ~ (all_345_1_1050 = zero))
% 25.28/7.64 |
% 25.28/7.64 | Applying alpha-rule on (1458) yields:
% 25.28/7.64 | (1459) multiplication(all_0_9_9, all_0_11_11) = all_345_0_1049
% 25.28/7.64 | (1460) multiplication(all_0_11_11, all_0_9_9) = all_345_1_1050
% 25.28/7.64 | (1461) ~ (all_345_0_1049 = zero) | ~ (all_345_1_1050 = zero)
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (45) with all_0_9_9, all_0_11_11, zero, all_345_0_1049 and discharging atoms multiplication(all_0_9_9, all_0_11_11) = all_345_0_1049, multiplication(all_0_9_9, all_0_11_11) = zero, yields:
% 25.28/7.64 | (1462) all_345_0_1049 = zero
% 25.28/7.64 |
% 25.28/7.64 | Instantiating formula (45) with all_0_11_11, all_0_9_9, zero, all_345_1_1050 and discharging atoms multiplication(all_0_11_11, all_0_9_9) = all_345_1_1050, multiplication(all_0_11_11, all_0_9_9) = zero, yields:
% 25.28/7.64 | (1463) all_345_1_1050 = zero
% 25.28/7.64 |
% 25.28/7.64 +-Applying beta-rule and splitting (1461), into two cases.
% 25.28/7.64 |-Branch one:
% 25.28/7.64 | (1464) ~ (all_345_0_1049 = zero)
% 25.28/7.64 |
% 25.28/7.64 | Equations (1462) can reduce 1464 to:
% 25.28/7.64 | (1442) $false
% 25.28/7.64 |
% 25.28/7.64 |-The branch is then unsatisfiable
% 25.28/7.64 |-Branch two:
% 25.28/7.64 | (1462) all_345_0_1049 = zero
% 25.28/7.64 | (1467) ~ (all_345_1_1050 = zero)
% 25.28/7.64 |
% 25.28/7.64 | Equations (1463) can reduce 1467 to:
% 25.28/7.64 | (1442) $false
% 25.28/7.64 |
% 25.28/7.64 |-The branch is then unsatisfiable
% 25.28/7.64 % SZS output end Proof for theBenchmark
% 25.28/7.64
% 25.28/7.64 7146ms
%------------------------------------------------------------------------------