TSTP Solution File: ALG058+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG058+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.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 : Thu Jul 14 15:34:00 EDT 2022
% Result : Theorem 7.05s 2.24s
% Output : Proof 24.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG058+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 05:07:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.59 ____ _
% 0.53/0.59 ___ / __ \_____(_)___ ________ __________
% 0.53/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.59
% 0.53/0.59 A Theorem Prover for First-Order Logic
% 0.53/0.60 (ePrincess v.1.0)
% 0.53/0.60
% 0.53/0.60 (c) Philipp Rümmer, 2009-2015
% 0.53/0.60 (c) Peter Backeman, 2014-2015
% 0.53/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.60 Bug reports to peter@backeman.se
% 0.53/0.60
% 0.53/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.60
% 0.53/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.81/1.19 Prover 0: Preprocessing ...
% 4.87/1.64 Prover 0: Constructing countermodel ...
% 7.05/2.24 Prover 0: proved (1577ms)
% 7.05/2.24
% 7.05/2.24 No countermodel exists, formula is valid
% 7.05/2.24 % SZS status Theorem for theBenchmark
% 7.05/2.24
% 7.05/2.24 Generating proof ... found it (size 8965)
% 20.27/5.37
% 20.27/5.37 % SZS output start Proof for theBenchmark
% 20.27/5.37 Assumed formulas after preprocessing and simplification:
% 20.27/5.37 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ( ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v16) & ~ (v20 = v15) & ~ (v20 = v12) & ~ (v20 = v8) & ~ (v20 = v4) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v11) & ~ (v19 = v7) & ~ (v19 = v3) & ~ (v19 = e4) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v6) & ~ (v18 = v2) & ~ (v18 = e3) & ~ (v18 = e1) & ~ (v17 = v16) & ~ (v17 = v14) & ~ (v17 = v10) & ~ (v17 = v1) & ~ (v17 = e0) & ~ (v16 = v13) & ~ (v16 = v9) & ~ (v16 = v5) & ~ (v16 = v0) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v8) & ~ (v15 = v4) & ~ (v15 = e4) & ~ (v15 = e1) & ~ (v14 = v13) & ~ (v14 = v10) & ~ (v14 = v1) & ~ (v14 = e4) & ~ (v14 = e1) & ~ (v14 = e0) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v0) & ~ (v13 = e4) & ~ (v13 = e1) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = e3) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v11 = e4) & ~ (v11 = e3) & ~ (v10 = v9) & ~ (v10 = v1) & ~ (v10 = e3) & ~ (v10 = e0) & ~ (v9 = v5) & ~ (v9 = v0) & ~ (v9 = e3) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v4) & ~ (v8 = e0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v3) & ~ (v7 = e4) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v2) & ~ (v6 = e3) & ~ (v6 = e1) & ~ (v6 = e0) & ~ (v5 = v0) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e4) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e3) & ~ (v2 = e1) & ~ (v1 = v0) & ~ (v1 = e0) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = v20 & op(e4, e3) = v19 & op(e4, e2) = v18 & op(e4, e1) = v17 & op(e4, e0) = v16 & op(e3, unit) = e3 & op(e3, e4) = v15 & op(e3, e3) = e4 & op(e3, e2) = e1 & op(e3, e1) = v14 & op(e3, e0) = v13 & op(e2, unit) = e2 & op(e2, e4) = v12 & op(e2, e3) = v11 & op(e2, e2) = e3 & op(e2, e1) = v10 & op(e2, e0) = v9 & op(e1, unit) = e1 & op(e1, e4) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1, e1) = e0 & op(e1, e0) = v5 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (op(v24, v23) = v22) | ~ (op(v24, v23) = v21)) & (v20 = e4 | v20 = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v20 = e4 | v18 = e4 | v17 = e4 | v16 = e4) & (v20 = e4 | v12 = e4 | v8 = e4 | v4 = e4) & (v20 = e3 | v19 = e3 | v17 = e3 | v16 = e3) & (v20 = e3 | v15 = e3 | v8 = e3 | v4 = e3) & (v20 = e3 | v0 = e1 | (v20 = e0 & v0 = e4 & ~ (v16 = e4)) | (v20 = e0 & v0 = e4 & ~ (v4 = e0))) & (v20 = e2 | v19 = e2 | v18 = e2 | v17 = e2 | v16 = e2) & (v20 = e2 | v15 = e2 | v12 = e2 | v8 = e2 | v4 = e2) & (v20 = e1 | v19 = e1 | v17 = e1 | v16 = e1) & (v20 = e1 | v12 = e1 | v8 = e1 | v4 = e1) & (v20 = e0 | v19 = e0 | v18 = e0 | v16 = e0) & (v20 = e0 | v15 = e0 | v12 = e0 | v4 = e0) & (v19 = e3 | v19 = e2 | v19 = e1 | v19 = e0) & (v19 = e3 | v7 = e3 | v3 = e3) & (v19 = e2 | v11 = e2 | v7 = e2 | v3 = e2) & (v19 = e1 | v11 = e1 | v7 = e1 | v3 = e1) & (v19 = e0 | v11 = e0 | v3 = e0) & (v18 = e4 | v18 = e2 | v18 = e0) & (v18 = e4 | v6 = e4 | v2 = e4) & (v18 = e2 | v6 = e2 | v2 = e2) & (v18 = e0 | v2 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1) & (v17 = e4 | v10 = e4 | v1 = e4) & (v17 = e3 | v14 = e3 | v1 = e3) & (v17 = e2 | v14 = e2 | v10 = e2 | v1 = e2) & (v17 = e1 | v10 = e1 | v1 = e1) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v16 = e4 | v9 = e4 | v5 = e4 | v0 = e4) & (v16 = e3 | v13 = e3 | v5 = e3 | v0 = e3) & (v16 = e2 | v13 = e2 | v9 = e2 | v5 = e2 | v0 = e2) & (v16 = e1 | v9 = e1 | v5 = e1 | v0 = e1) & (v16 = e0 | v13 = e0 | v9 = e0 | v0 = e0) & (v15 = e3 | v15 = e2 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3) & (v15 = e2 | v14 = e2 | v13 = e2) & (v15 = e0 | v13 = e0) & (v14 = e3 | v14 = e2) & (v13 = e3 | v13 = e2 | v13 = e0) & (v12 = e4 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e4 | v10 = e4 | v9 = e4) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1) & (v12 = e0 | v11 = e0 | v9 = e0) & (v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e2 | v10 = e1) & (v9 = e4 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = e3 | v8 = e2 | v8 = e1) & (v8 = e4 | v6 = e4 | v5 = e4) & (v8 = e3 | v7 = e3 | v5 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2) & (v8 = e1 | v7 = e1 | v5 = e1) & (v7 = e3 | v7 = e2 | v7 = e1) & (v6 = e4 | v6 = e2) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1) & (v4 = e4 | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v4 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v1 = e1 | v0 = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v0 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e2 | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v15 = e3 & ~ (v5 = e4) & ~ (unit = e4) & ( ~ (v18 = e4) | v20 = e2) & ( ~ (v17 = e4) | v20 = e1) & ( ~ (v16 = e4) | v20 = e0) & ( ~ (v10 = e4) | v12 = e1) & ( ~ (v9 = e4) | v12 = e0) & ( ~ (v6 = e4) | v8 = e2) & ( ~ (v2 = e4) | v4 = e2) & ( ~ (v1 = e4) | v4 = e1) & ( ~ (v0 = e4) | v4 = e0)) | (v14 = e2 & ~ (v16 = e1) & ~ (v11 = e1) & ~ (v9 = e1) & ~ (v8 = e1) & ~ (v7 = e1) & ~ (v0 = e1) & ~ (unit = e1) & ( ~ (v20 = e1) | v17 = e4) & ( ~ (v19 = e1) | v17 = e3) & ( ~ (v12 = e1) | v10 = e4) & ( ~ (v4 = e1) | v1 = e4) & ( ~ (v3 = e1) | v1 = e3)) | (v11 = e2 & ~ (v20 = e3) & ~ (v14 = e3) & ~ (v13 = e3) & ~ (v8 = e3) & ~ (v5 = e3) & ~ (v4 = e3) & ~ (unit = e3) & ( ~ (v17 = e3) | v19 = e1) & ( ~ (v16 = e3) | v19 = e0) & ( ~ (v1 = e3) | v3 = e1) & ( ~ (v0 = e3) | v3 = e0)) | (v5 = e1 & ~ (v15 = e0) & ~ (v11 = e0) & ~ (unit = e0) & ( ~ (v20 = e0) | v16 = e4) & ( ~ (v19 = e0) | v16 = e3) & ( ~ (v18 = e0) | v16 = e2) & ( ~ (v12 = e0) | v9 = e4) & ( ~ (v4 = e0) | v0 = e4) & ( ~ (v3 = e0) | v0 = e3) & ( ~ (v2 = e0) | v0 = e2)) | ( ~ (v19 = e2) & ~ (v17 = e2) & ~ (v15 = e2) & ~ (v13 = e2) & ~ (v12 = e2) & ~ (v10 = e2) & ~ (v9 = e2) & ~ (v7 = e2) & ~ (v5 = e2) & ~ (v3 = e2) & ~ (v1 = e2) & ( ~ (v20 = e2) | (v18 = e4 & ~ (unit = e2))) & ( ~ (v18 = e2) | ~ (unit = e2)) & ( ~ (v16 = e2) | (v18 = e0 & ~ (unit = e2))) & ( ~ (v14 = e2) | ~ (unit = e2)) & ( ~ (v11 = e2) | ~ (unit = e2)) & ( ~ (v8 = e2) | (v6 = e4 & ~ (unit = e2))) & ( ~ (v6 = e2) | ~ (unit = e2)) & ( ~ (v4 = e2) | (v2 = e4 & ~ (unit = e2))) & ( ~ (v2 = e2) | ~ (unit = e2)) & ( ~ (v0 = e2) | (v2 = e0 & ~ (unit = e2))))))
% 20.57/5.43 | 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, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20 yields:
% 20.57/5.43 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_0_0 = all_0_2_2) & ~ (all_0_0_0 = all_0_3_3) & ~ (all_0_0_0 = all_0_4_4) & ~ (all_0_0_0 = all_0_5_5) & ~ (all_0_0_0 = all_0_8_8) & ~ (all_0_0_0 = all_0_12_12) & ~ (all_0_0_0 = all_0_16_16) & ~ (all_0_1_1 = all_0_2_2) & ~ (all_0_1_1 = all_0_3_3) & ~ (all_0_1_1 = all_0_4_4) & ~ (all_0_1_1 = all_0_9_9) & ~ (all_0_1_1 = all_0_13_13) & ~ (all_0_1_1 = all_0_17_17) & ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = all_0_3_3) & ~ (all_0_2_2 = all_0_4_4) & ~ (all_0_2_2 = all_0_14_14) & ~ (all_0_2_2 = all_0_18_18) & ~ (all_0_2_2 = e3) & ~ (all_0_2_2 = e1) & ~ (all_0_3_3 = all_0_4_4) & ~ (all_0_3_3 = all_0_6_6) & ~ (all_0_3_3 = all_0_10_10) & ~ (all_0_3_3 = all_0_19_19) & ~ (all_0_3_3 = e0) & ~ (all_0_4_4 = all_0_7_7) & ~ (all_0_4_4 = all_0_11_11) & ~ (all_0_4_4 = all_0_15_15) & ~ (all_0_4_4 = all_0_20_20) & ~ (all_0_5_5 = all_0_6_6) & ~ (all_0_5_5 = all_0_7_7) & ~ (all_0_5_5 = all_0_8_8) & ~ (all_0_5_5 = all_0_12_12) & ~ (all_0_5_5 = all_0_16_16) & ~ (all_0_5_5 = e4) & ~ (all_0_5_5 = e1) & ~ (all_0_6_6 = all_0_7_7) & ~ (all_0_6_6 = all_0_10_10) & ~ (all_0_6_6 = all_0_19_19) & ~ (all_0_6_6 = e4) & ~ (all_0_6_6 = e1) & ~ (all_0_6_6 = e0) & ~ (all_0_7_7 = all_0_11_11) & ~ (all_0_7_7 = all_0_15_15) & ~ (all_0_7_7 = all_0_20_20) & ~ (all_0_7_7 = e4) & ~ (all_0_7_7 = e1) & ~ (all_0_8_8 = all_0_9_9) & ~ (all_0_8_8 = all_0_10_10) & ~ (all_0_8_8 = all_0_11_11) & ~ (all_0_8_8 = all_0_12_12) & ~ (all_0_8_8 = all_0_16_16) & ~ (all_0_8_8 = e3) & ~ (all_0_9_9 = all_0_10_10) & ~ (all_0_9_9 = all_0_11_11) & ~ (all_0_9_9 = all_0_13_13) & ~ (all_0_9_9 = all_0_17_17) & ~ (all_0_9_9 = e4) & ~ (all_0_9_9 = e3) & ~ (all_0_10_10 = all_0_11_11) & ~ (all_0_10_10 = all_0_19_19) & ~ (all_0_10_10 = e3) & ~ (all_0_10_10 = e0) & ~ (all_0_11_11 = all_0_15_15) & ~ (all_0_11_11 = all_0_20_20) & ~ (all_0_11_11 = e3) & ~ (all_0_12_12 = all_0_13_13) & ~ (all_0_12_12 = all_0_14_14) & ~ (all_0_12_12 = all_0_15_15) & ~ (all_0_12_12 = all_0_16_16) & ~ (all_0_12_12 = e0) & ~ (all_0_13_13 = all_0_14_14) & ~ (all_0_13_13 = all_0_15_15) & ~ (all_0_13_13 = all_0_17_17) & ~ (all_0_13_13 = e4) & ~ (all_0_13_13 = e0) & ~ (all_0_14_14 = all_0_15_15) & ~ (all_0_14_14 = all_0_18_18) & ~ (all_0_14_14 = e3) & ~ (all_0_14_14 = e1) & ~ (all_0_14_14 = e0) & ~ (all_0_15_15 = all_0_20_20) & ~ (all_0_15_15 = e0) & ~ (all_0_16_16 = all_0_17_17) & ~ (all_0_16_16 = all_0_18_18) & ~ (all_0_16_16 = all_0_19_19) & ~ (all_0_16_16 = all_0_20_20) & ~ (all_0_17_17 = all_0_18_18) & ~ (all_0_17_17 = all_0_19_19) & ~ (all_0_17_17 = all_0_20_20) & ~ (all_0_17_17 = e4) & ~ (all_0_18_18 = all_0_19_19) & ~ (all_0_18_18 = all_0_20_20) & ~ (all_0_18_18 = e3) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = all_0_20_20) & ~ (all_0_19_19 = e0) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = all_0_0_0 & op(e4, e3) = all_0_1_1 & op(e4, e2) = all_0_2_2 & op(e4, e1) = all_0_3_3 & op(e4, e0) = all_0_4_4 & op(e3, unit) = e3 & op(e3, e4) = all_0_5_5 & op(e3, e3) = e4 & op(e3, e2) = e1 & op(e3, e1) = all_0_6_6 & op(e3, e0) = all_0_7_7 & op(e2, unit) = e2 & op(e2, e4) = all_0_8_8 & op(e2, e3) = all_0_9_9 & op(e2, e2) = e3 & op(e2, e1) = all_0_10_10 & op(e2, e0) = all_0_11_11 & op(e1, unit) = e1 & op(e1, e4) = all_0_12_12 & op(e1, e3) = all_0_13_13 & op(e1, e2) = all_0_14_14 & op(e1, e1) = e0 & op(e1, e0) = all_0_15_15 & op(e0, unit) = e0 & op(e0, e4) = all_0_16_16 & op(e0, e3) = all_0_17_17 & op(e0, e2) = all_0_18_18 & op(e0, e1) = all_0_19_19 & op(e0, e0) = all_0_20_20 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & (all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e2 | all_0_0_0 = e1 | all_0_0_0 = e0) & (all_0_0_0 = e4 | all_0_2_2 = e4 | all_0_3_3 = e4 | all_0_4_4 = e4) & (all_0_0_0 = e4 | all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4) & (all_0_0_0 = e3 | all_0_1_1 = e3 | all_0_3_3 = e3 | all_0_4_4 = e3) & (all_0_0_0 = e3 | all_0_5_5 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3) & (all_0_0_0 = e3 | all_0_20_20 = e1 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))) & (all_0_0_0 = e2 | all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2) & (all_0_0_0 = e2 | all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2) & (all_0_0_0 = e1 | all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1) & (all_0_0_0 = e1 | all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1) & (all_0_0_0 = e0 | all_0_1_1 = e0 | all_0_2_2 = e0 | all_0_4_4 = e0) & (all_0_0_0 = e0 | all_0_5_5 = e0 | all_0_8_8 = e0 | all_0_16_16 = e0) & (all_0_1_1 = e3 | all_0_1_1 = e2 | all_0_1_1 = e1 | all_0_1_1 = e0) & (all_0_1_1 = e3 | all_0_13_13 = e3 | all_0_17_17 = e3) & (all_0_1_1 = e2 | all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2) & (all_0_1_1 = e1 | all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1) & (all_0_1_1 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0) & (all_0_2_2 = e4 | all_0_2_2 = e2 | all_0_2_2 = e0) & (all_0_2_2 = e4 | all_0_14_14 = e4 | all_0_18_18 = e4) & (all_0_2_2 = e2 | all_0_14_14 = e2 | all_0_18_18 = e2) & (all_0_2_2 = e0 | all_0_18_18 = e0) & (all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e2 | all_0_3_3 = e1) & (all_0_3_3 = e4 | all_0_10_10 = e4 | all_0_19_19 = e4) & (all_0_3_3 = e3 | all_0_6_6 = e3 | all_0_19_19 = e3) & (all_0_3_3 = e2 | all_0_6_6 = e2 | all_0_10_10 = e2 | all_0_19_19 = e2) & (all_0_3_3 = e1 | all_0_10_10 = e1 | all_0_19_19 = e1) & (all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0) & (all_0_4_4 = e4 | all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4) & (all_0_4_4 = e3 | all_0_7_7 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3) & (all_0_4_4 = e2 | all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2) & (all_0_4_4 = e1 | all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1) & (all_0_4_4 = e0 | all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_20_20 = e0) & (all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e0) & (all_0_5_5 = e3 | all_0_6_6 = e3 | all_0_7_7 = e3) & (all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2) & (all_0_5_5 = e0 | all_0_7_7 = e0) & (all_0_6_6 = e3 | all_0_6_6 = e2) & (all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e0) & (all_0_8_8 = e4 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0) & (all_0_8_8 = e4 | all_0_10_10 = e4 | all_0_11_11 = e4) & (all_0_8_8 = e2 | all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2) & (all_0_8_8 = e1 | all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1) & (all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_11_11 = e0) & (all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0) & (all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e1) & (all_0_11_11 = e4 | all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0) & (all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e2 | all_0_12_12 = e1) & (all_0_12_12 = e4 | all_0_14_14 = e4 | all_0_15_15 = e4) & (all_0_12_12 = e3 | all_0_13_13 = e3 | all_0_15_15 = e3) & (all_0_12_12 = e2 | all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2) & (all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_15_15 = e1) & (all_0_13_13 = e3 | all_0_13_13 = e2 | all_0_13_13 = e1) & (all_0_14_14 = e4 | all_0_14_14 = e2) & (all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1) & (all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0) & (all_0_16_16 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4) & (all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3) & (all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2) & (all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1) & (all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0) & (all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0) & (all_0_18_18 = e4 | all_0_18_18 = e2 | all_0_18_18 = e0) & (all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1) & (all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))))
% 20.57/5.46 |
% 20.57/5.46 | Applying alpha-rule on (1) yields:
% 20.57/5.46 | (2) all_0_8_8 = e2 | all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 20.57/5.46 | (3) ~ (all_0_8_8 = all_0_9_9)
% 20.57/5.46 | (4) ~ (e4 = e0)
% 20.57/5.46 | (5) op(e3, e0) = all_0_7_7
% 20.57/5.46 | (6) ~ (all_0_7_7 = all_0_15_15)
% 20.57/5.46 | (7) ~ (all_0_8_8 = all_0_11_11)
% 20.57/5.46 | (8) ~ (all_0_5_5 = e4)
% 20.57/5.46 | (9) all_0_1_1 = e1 | all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 20.57/5.46 | (10) op(e1, e1) = e0
% 20.57/5.46 | (11) ~ (all_0_19_19 = e0)
% 20.57/5.46 | (12) ~ (all_0_14_14 = e0)
% 20.57/5.46 | (13) op(e1, e2) = all_0_14_14
% 20.57/5.46 | (14) ~ (all_0_9_9 = all_0_11_11)
% 20.57/5.46 | (15) ~ (all_0_0_0 = all_0_5_5)
% 20.57/5.46 | (16) ~ (all_0_7_7 = e4)
% 20.57/5.46 | (17) ~ (all_0_6_6 = all_0_10_10)
% 20.57/5.46 | (18) all_0_0_0 = e3 | all_0_20_20 = e1 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 20.57/5.46 | (19) ~ (all_0_13_13 = all_0_17_17)
% 20.57/5.46 | (20) ~ (all_0_2_2 = all_0_18_18)
% 20.57/5.46 | (21) ~ (all_0_13_13 = e0)
% 20.57/5.46 | (22) ~ (all_0_17_17 = all_0_19_19)
% 20.57/5.46 | (23) ~ (e4 = e3)
% 20.57/5.46 | (24) ~ (all_0_6_6 = e1)
% 20.57/5.46 | (25) ~ (all_0_11_11 = all_0_15_15)
% 20.57/5.46 | (26) ~ (all_0_4_4 = all_0_20_20)
% 20.57/5.46 | (27) op(e2, e4) = all_0_8_8
% 20.94/5.46 | (28) op(e3, e2) = e1
% 20.94/5.46 | (29) all_0_1_1 = e2 | all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 20.94/5.46 | (30) ~ (all_0_11_11 = e3)
% 20.94/5.46 | (31) ~ (all_0_6_6 = all_0_7_7)
% 20.94/5.46 | (32) ~ (all_0_6_6 = e0)
% 20.94/5.46 | (33) ~ (all_0_1_1 = all_0_4_4)
% 20.94/5.46 | (34) op(e4, e2) = all_0_2_2
% 20.94/5.46 | (35) ~ (all_0_14_14 = e3)
% 20.94/5.46 | (36) ~ (all_0_12_12 = all_0_15_15)
% 20.94/5.46 | (37) all_0_0_0 = e1 | all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 20.94/5.46 | (38) ~ (all_0_8_8 = all_0_10_10)
% 20.94/5.46 | (39) ~ (e2 = e0)
% 20.94/5.46 | (40) ~ (all_0_15_15 = all_0_20_20)
% 20.94/5.46 | (41) all_0_2_2 = e0 | all_0_18_18 = e0
% 20.94/5.46 | (42) all_0_11_11 = e4 | all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 20.94/5.46 | (43) ~ (all_0_18_18 = e1)
% 20.94/5.46 | (44) op(e2, e3) = all_0_9_9
% 20.94/5.47 | (45) ~ (all_0_11_11 = all_0_20_20)
% 20.94/5.47 | (46) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 20.94/5.47 | (47) ~ (all_0_1_1 = all_0_3_3)
% 20.94/5.47 | (48) all_0_0_0 = e4 | all_0_2_2 = e4 | all_0_3_3 = e4 | all_0_4_4 = e4
% 20.94/5.47 | (49) all_0_8_8 = e4 | all_0_10_10 = e4 | all_0_11_11 = e4
% 20.94/5.47 | (50) all_0_3_3 = e2 | all_0_6_6 = e2 | all_0_10_10 = e2 | all_0_19_19 = e2
% 20.94/5.47 | (51) op(e1, e3) = all_0_13_13
% 20.94/5.47 | (52) all_0_4_4 = e4 | all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 20.94/5.47 | (53) op(e3, e1) = all_0_6_6
% 20.94/5.47 | (54) ~ (e3 = e0)
% 20.94/5.47 | (55) ~ (all_0_7_7 = all_0_20_20)
% 20.94/5.47 | (56) ~ (all_0_9_9 = all_0_17_17)
% 20.94/5.47 | (57) ~ (all_0_18_18 = all_0_20_20)
% 20.94/5.47 | (58) ~ (all_0_9_9 = e3)
% 20.94/5.47 | (59) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.94/5.47 | (60) ~ (all_0_9_9 = all_0_10_10)
% 20.94/5.47 | (61) op(e3, e4) = all_0_5_5
% 20.94/5.47 | (62) all_0_2_2 = e4 | all_0_14_14 = e4 | all_0_18_18 = e4
% 20.94/5.47 | (63) all_0_0_0 = e4 | all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 20.94/5.47 | (64) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e2 | all_0_3_3 = e1
% 20.94/5.47 | (65) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1
% 20.94/5.47 | (66) all_0_16_16 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 20.94/5.47 | (67) ~ (all_0_16_16 = all_0_18_18)
% 20.94/5.47 | (68) ~ (all_0_14_14 = e1)
% 20.94/5.47 | (69) ~ (all_0_3_3 = all_0_6_6)
% 20.94/5.47 | (70) ~ (all_0_1_1 = all_0_13_13)
% 20.94/5.47 | (71) all_0_6_6 = e3 | all_0_6_6 = e2
% 20.94/5.47 | (72) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 20.99/5.47 | (73) ~ (all_0_1_1 = all_0_17_17)
% 20.99/5.47 | (74) all_0_0_0 = e3 | all_0_1_1 = e3 | all_0_3_3 = e3 | all_0_4_4 = e3
% 20.99/5.47 | (75) all_0_12_12 = e2 | all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 20.99/5.47 | (76) ~ (all_0_5_5 = all_0_16_16)
% 20.99/5.48 | (77) op(unit, e0) = e0
% 20.99/5.48 | (78) ~ (all_0_4_4 = all_0_15_15)
% 20.99/5.48 | (79) ~ (all_0_16_16 = all_0_19_19)
% 20.99/5.48 | (80) ~ (all_0_0_0 = all_0_12_12)
% 20.99/5.48 | (81) ~ (all_0_16_16 = all_0_20_20)
% 20.99/5.48 | (82) ~ (all_0_4_4 = all_0_11_11)
% 20.99/5.48 | (83) all_0_0_0 = e2 | all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 20.99/5.48 | (84) ~ (all_0_2_2 = e1)
% 20.99/5.48 | (85) ~ (all_0_0_0 = all_0_3_3)
% 20.99/5.48 | (86) ~ (all_0_3_3 = all_0_4_4)
% 20.99/5.48 | (87) ~ (all_0_3_3 = all_0_10_10)
% 20.99/5.48 | (88) ~ (all_0_12_12 = all_0_13_13)
% 20.99/5.48 | (89) ~ (all_0_5_5 = all_0_6_6)
% 20.99/5.48 | (90) ~ (all_0_13_13 = all_0_14_14)
% 20.99/5.48 | (91) all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_15_15 = e1
% 20.99/5.48 | (92) ~ (all_0_5_5 = all_0_12_12)
% 20.99/5.48 | (93) ~ (all_0_0_0 = all_0_4_4)
% 20.99/5.48 | (94) all_0_14_14 = e4 | all_0_14_14 = e2
% 20.99/5.48 | (95) op(e4, unit) = e4
% 20.99/5.48 | (96) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.99/5.48 | (97) ~ (all_0_13_13 = e4)
% 20.99/5.48 | (98) op(e2, e0) = all_0_11_11
% 20.99/5.48 | (99) all_0_0_0 = e0 | all_0_1_1 = e0 | all_0_2_2 = e0 | all_0_4_4 = e0
% 20.99/5.48 | (100) op(unit, e1) = e1
% 20.99/5.48 | (101) op(e0, e4) = all_0_16_16
% 20.99/5.48 | (102) op(e3, unit) = e3
% 20.99/5.48 | (103) op(e1, e4) = all_0_12_12
% 20.99/5.48 | (104) all_0_3_3 = e1 | all_0_10_10 = e1 | all_0_19_19 = e1
% 20.99/5.48 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 20.99/5.48 | (106) all_0_18_18 = e4 | all_0_18_18 = e2 | all_0_18_18 = e0
% 20.99/5.48 | (107) all_0_0_0 = e1 | all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 20.99/5.48 | (108) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e1
% 20.99/5.48 | (109) ~ (e1 = e0)
% 20.99/5.48 | (110) ~ (all_0_1_1 = all_0_9_9)
% 20.99/5.48 | (111) ~ (e3 = e1)
% 20.99/5.48 | (112) all_0_0_0 = e0 | all_0_5_5 = e0 | all_0_8_8 = e0 | all_0_16_16 = e0
% 20.99/5.48 | (113) op(e0, e2) = all_0_18_18
% 20.99/5.48 | (114) ~ (e2 = e1)
% 20.99/5.48 | (115) all_0_3_3 = e4 | all_0_10_10 = e4 | all_0_19_19 = e4
% 20.99/5.48 | (116) all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e0
% 20.99/5.48 | (117) ~ (all_0_8_8 = e3)
% 20.99/5.48 | (118) op(e2, e2) = e3
% 20.99/5.48 | (119) ~ (all_0_18_18 = e3)
% 20.99/5.48 | (120) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 20.99/5.48 | (121) op(unit, e3) = e3
% 20.99/5.48 | (122) ~ (all_0_18_18 = all_0_19_19)
% 20.99/5.48 | (123) ~ (all_0_5_5 = e1)
% 20.99/5.48 | (124) op(e3, e3) = e4
% 20.99/5.48 | (125) ~ (all_0_5_5 = all_0_8_8)
% 20.99/5.48 | (126) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1
% 20.99/5.48 | (127) ~ (all_0_9_9 = e4)
% 20.99/5.48 | (128) op(e2, e1) = all_0_10_10
% 20.99/5.48 | (129) all_0_12_12 = e3 | all_0_13_13 = e3 | all_0_15_15 = e3
% 20.99/5.48 | (130) all_0_5_5 = e0 | all_0_7_7 = e0
% 20.99/5.48 | (131) ~ (all_0_7_7 = all_0_11_11)
% 20.99/5.48 | (132) all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_11_11 = e0
% 20.99/5.48 | (133) op(e4, e3) = all_0_1_1
% 20.99/5.48 | (134) all_0_5_5 = e3 | all_0_6_6 = e3 | all_0_7_7 = e3
% 20.99/5.48 | (135) ~ (all_0_3_3 = all_0_19_19)
% 20.99/5.48 | (136) all_0_0_0 = e2 | all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 20.99/5.48 | (137) ~ (all_0_9_9 = all_0_13_13)
% 20.99/5.48 | (138) all_0_4_4 = e2 | all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 20.99/5.48 | (139) op(e2, unit) = e2
% 20.99/5.48 | (140) all_0_3_3 = e3 | all_0_6_6 = e3 | all_0_19_19 = e3
% 20.99/5.48 | (141) ~ (all_0_10_10 = e3)
% 20.99/5.48 | (142) all_0_1_1 = e3 | all_0_1_1 = e2 | all_0_1_1 = e1 | all_0_1_1 = e0
% 20.99/5.48 | (143) ~ (all_0_6_6 = all_0_19_19)
% 20.99/5.48 | (144) ~ (all_0_10_10 = e0)
% 20.99/5.48 | (145) all_0_4_4 = e1 | all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 20.99/5.49 | (146) ~ (all_0_0_0 = all_0_8_8)
% 20.99/5.49 | (147) ~ (all_0_7_7 = e1)
% 20.99/5.49 | (148) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 20.99/5.49 | (149) ~ (all_0_2_2 = all_0_4_4)
% 20.99/5.49 | (150) all_0_12_12 = e4 | all_0_14_14 = e4 | all_0_15_15 = e4
% 20.99/5.49 | (151) ~ (all_0_15_15 = e0)
% 20.99/5.49 | (152) ~ (all_0_5_5 = all_0_7_7)
% 20.99/5.49 | (153) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1
% 20.99/5.49 | (154) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 20.99/5.49 | (155) ~ (all_0_10_10 = all_0_11_11)
% 20.99/5.49 | (156) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0
% 20.99/5.49 | (157) ~ (all_0_2_2 = e3)
% 20.99/5.49 | (158) ~ (all_0_19_19 = all_0_20_20)
% 20.99/5.49 | (159) ~ (all_0_1_1 = e4)
% 20.99/5.49 | (160) ~ (all_0_4_4 = all_0_7_7)
% 20.99/5.49 | (161) all_0_1_1 = e3 | all_0_13_13 = e3 | all_0_17_17 = e3
% 20.99/5.49 | (162) ~ (all_0_17_17 = all_0_18_18)
% 20.99/5.49 | (163) ~ (all_0_17_17 = e4)
% 20.99/5.49 | (164) all_0_8_8 = e1 | all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 20.99/5.49 | (165) all_0_2_2 = e2 | all_0_14_14 = e2 | all_0_18_18 = e2
% 20.99/5.49 | (166) all_0_2_2 = e4 | all_0_2_2 = e2 | all_0_2_2 = e0
% 20.99/5.49 | (167) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 20.99/5.49 | (168) op(e0, e1) = all_0_19_19
% 20.99/5.49 | (169) op(unit, e4) = e4
% 20.99/5.49 | (170) all_0_0_0 = e3 | all_0_5_5 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3
% 20.99/5.49 | (171) all_0_13_13 = e3 | all_0_13_13 = e2 | all_0_13_13 = e1
% 20.99/5.49 | (172) op(e1, unit) = e1
% 20.99/5.49 | (173) ~ (all_0_0_0 = all_0_2_2)
% 20.99/5.49 | (174) ~ (all_0_8_8 = all_0_12_12)
% 20.99/5.49 | (175) op(e0, unit) = e0
% 20.99/5.49 | (176) all_0_1_1 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 20.99/5.49 | (177) op(e0, e0) = all_0_20_20
% 20.99/5.49 | (178) ~ (all_0_0_0 = all_0_1_1)
% 20.99/5.49 | (179) ~ (all_0_13_13 = all_0_15_15)
% 20.99/5.49 | (180) ~ (all_0_14_14 = all_0_15_15)
% 20.99/5.49 | (181) op(e4, e0) = all_0_4_4
% 20.99/5.49 | (182) all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e0
% 20.99/5.49 | (183) ~ (e3 = e2)
% 20.99/5.49 | (184) op(unit, e2) = e2
% 20.99/5.49 | (185) op(e4, e1) = all_0_3_3
% 20.99/5.49 | (186) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e2 | all_0_12_12 = e1
% 20.99/5.49 | (187) ~ (all_0_8_8 = all_0_16_16)
% 20.99/5.49 | (188) ~ (all_0_0_0 = all_0_16_16)
% 20.99/5.49 | (189) ~ (all_0_12_12 = all_0_16_16)
% 20.99/5.49 | (190) ~ (all_0_2_2 = all_0_3_3)
% 20.99/5.49 | (191) all_0_4_4 = e0 | all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_20_20 = e0
% 20.99/5.49 | (192) ~ (all_0_1_1 = all_0_2_2)
% 20.99/5.49 | (193) ~ (all_0_3_3 = e0)
% 20.99/5.49 | (194) ~ (e4 = e2)
% 20.99/5.49 | (195) ~ (all_0_12_12 = all_0_14_14)
% 20.99/5.49 | (196) ~ (all_0_14_14 = all_0_18_18)
% 20.99/5.49 | (197) ~ (all_0_17_17 = all_0_20_20)
% 20.99/5.49 | (198) all_0_8_8 = e4 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 20.99/5.49 | (199) op(e1, e0) = all_0_15_15
% 20.99/5.49 | (200) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e2 | all_0_0_0 = e1 | all_0_0_0 = e0
% 20.99/5.49 | (201) op(e4, e4) = all_0_0_0
% 20.99/5.49 | (202) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 20.99/5.49 | (203) ~ (all_0_2_2 = all_0_14_14)
% 20.99/5.49 | (204) ~ (all_0_6_6 = e4)
% 20.99/5.49 | (205) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2
% 20.99/5.49 | (206) ~ (all_0_10_10 = all_0_19_19)
% 20.99/5.49 | (207) ~ (e4 = e1)
% 20.99/5.49 | (208) op(e0, e3) = all_0_17_17
% 20.99/5.49 | (209) all_0_4_4 = e3 | all_0_7_7 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3
% 20.99/5.50 | (210) ~ (all_0_12_12 = e0)
% 20.99/5.50 | (211) ~ (all_0_16_16 = all_0_17_17)
% 20.99/5.50 |
% 20.99/5.50 +-Applying beta-rule and splitting (71), into two cases.
% 20.99/5.50 |-Branch one:
% 20.99/5.50 | (212) all_0_6_6 = e2
% 20.99/5.50 |
% 20.99/5.50 | Equations (212) can reduce 69 to:
% 20.99/5.50 | (213) ~ (all_0_3_3 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (212) can reduce 89 to:
% 20.99/5.50 | (214) ~ (all_0_5_5 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (212) can reduce 31 to:
% 20.99/5.50 | (215) ~ (all_0_7_7 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 215 yields:
% 20.99/5.50 | (216) ~ (all_0_7_7 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (212) can reduce 17 to:
% 20.99/5.50 | (217) ~ (all_0_10_10 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 217 yields:
% 20.99/5.50 | (218) ~ (all_0_10_10 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (212) can reduce 143 to:
% 20.99/5.50 | (219) ~ (all_0_19_19 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 219 yields:
% 20.99/5.50 | (220) ~ (all_0_19_19 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (212) can reduce 204 to:
% 20.99/5.50 | (221) ~ (e4 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 221 yields:
% 20.99/5.50 | (194) ~ (e4 = e2)
% 20.99/5.50 |
% 20.99/5.50 | From (212) and (53) follows:
% 20.99/5.50 | (223) op(e3, e1) = e2
% 20.99/5.50 |
% 20.99/5.50 +-Applying beta-rule and splitting (94), into two cases.
% 20.99/5.50 |-Branch one:
% 20.99/5.50 | (224) all_0_14_14 = e2
% 20.99/5.50 |
% 20.99/5.50 | Equations (224) can reduce 203 to:
% 20.99/5.50 | (225) ~ (all_0_2_2 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (224) can reduce 195 to:
% 20.99/5.50 | (226) ~ (all_0_12_12 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (224) can reduce 90 to:
% 20.99/5.50 | (227) ~ (all_0_13_13 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (224) can reduce 180 to:
% 20.99/5.50 | (228) ~ (all_0_15_15 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 228 yields:
% 20.99/5.50 | (229) ~ (all_0_15_15 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (224) can reduce 196 to:
% 20.99/5.50 | (230) ~ (all_0_18_18 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 230 yields:
% 20.99/5.50 | (231) ~ (all_0_18_18 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (224) can reduce 35 to:
% 20.99/5.50 | (232) ~ (e3 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 232 yields:
% 20.99/5.50 | (183) ~ (e3 = e2)
% 20.99/5.50 |
% 20.99/5.50 | Equations (224) can reduce 68 to:
% 20.99/5.50 | (114) ~ (e2 = e1)
% 20.99/5.50 |
% 20.99/5.50 | From (224) and (13) follows:
% 20.99/5.50 | (235) op(e1, e2) = e2
% 20.99/5.50 |
% 20.99/5.50 +-Applying beta-rule and splitting (41), into two cases.
% 20.99/5.50 |-Branch one:
% 20.99/5.50 | (236) all_0_2_2 = e0
% 20.99/5.50 |
% 20.99/5.50 | Equations (236) can reduce 192 to:
% 20.99/5.50 | (237) ~ (all_0_1_1 = e0)
% 20.99/5.50 |
% 20.99/5.50 | Equations (236) can reduce 190 to:
% 20.99/5.50 | (238) ~ (all_0_3_3 = e0)
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 238 yields:
% 20.99/5.50 | (193) ~ (all_0_3_3 = e0)
% 20.99/5.50 |
% 20.99/5.50 | Equations (236) can reduce 157 to:
% 20.99/5.50 | (240) ~ (e3 = e0)
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 240 yields:
% 20.99/5.50 | (54) ~ (e3 = e0)
% 20.99/5.50 |
% 20.99/5.50 +-Applying beta-rule and splitting (106), into two cases.
% 20.99/5.50 |-Branch one:
% 20.99/5.50 | (242) all_0_18_18 = e2
% 20.99/5.50 |
% 20.99/5.50 | Equations (242) can reduce 231 to:
% 20.99/5.50 | (243) $false
% 20.99/5.50 |
% 20.99/5.50 |-The branch is then unsatisfiable
% 20.99/5.50 |-Branch two:
% 20.99/5.50 | (231) ~ (all_0_18_18 = e2)
% 20.99/5.50 | (245) all_0_18_18 = e4 | all_0_18_18 = e0
% 20.99/5.50 |
% 20.99/5.50 +-Applying beta-rule and splitting (62), into two cases.
% 20.99/5.50 |-Branch one:
% 20.99/5.50 | (246) all_0_2_2 = e4
% 20.99/5.50 |
% 20.99/5.50 | Combining equations (246,236) yields a new equation:
% 20.99/5.50 | (247) e4 = e0
% 20.99/5.50 |
% 20.99/5.50 | Simplifying 247 yields:
% 20.99/5.50 | (248) e4 = e0
% 20.99/5.50 |
% 20.99/5.50 | Equations (248) can reduce 4 to:
% 20.99/5.50 | (243) $false
% 20.99/5.50 |
% 20.99/5.50 |-The branch is then unsatisfiable
% 20.99/5.50 |-Branch two:
% 20.99/5.50 | (250) ~ (all_0_2_2 = e4)
% 20.99/5.51 | (251) all_0_14_14 = e4 | all_0_18_18 = e4
% 20.99/5.51 |
% 20.99/5.51 +-Applying beta-rule and splitting (251), into two cases.
% 20.99/5.51 |-Branch one:
% 20.99/5.51 | (252) all_0_14_14 = e4
% 20.99/5.51 |
% 20.99/5.51 | Combining equations (252,224) yields a new equation:
% 20.99/5.51 | (253) e4 = e2
% 20.99/5.51 |
% 20.99/5.51 | Simplifying 253 yields:
% 20.99/5.51 | (254) e4 = e2
% 20.99/5.51 |
% 20.99/5.51 | Equations (254) can reduce 194 to:
% 20.99/5.51 | (243) $false
% 20.99/5.51 |
% 20.99/5.51 |-The branch is then unsatisfiable
% 20.99/5.51 |-Branch two:
% 20.99/5.51 | (256) ~ (all_0_14_14 = e4)
% 20.99/5.51 | (257) all_0_18_18 = e4
% 20.99/5.51 |
% 21.15/5.51 | Equations (257) can reduce 67 to:
% 21.15/5.51 | (258) ~ (all_0_16_16 = e4)
% 21.15/5.51 |
% 21.15/5.51 | Equations (257) can reduce 162 to:
% 21.15/5.51 | (163) ~ (all_0_17_17 = e4)
% 21.15/5.51 |
% 21.15/5.51 | Equations (257) can reduce 122 to:
% 21.15/5.51 | (260) ~ (all_0_19_19 = e4)
% 21.15/5.51 |
% 21.15/5.51 | Simplifying 260 yields:
% 21.15/5.51 | (261) ~ (all_0_19_19 = e4)
% 21.15/5.51 |
% 21.15/5.51 | Equations (257) can reduce 57 to:
% 21.15/5.51 | (262) ~ (all_0_20_20 = e4)
% 21.15/5.51 |
% 21.15/5.51 | Simplifying 262 yields:
% 21.15/5.51 | (263) ~ (all_0_20_20 = e4)
% 21.15/5.51 |
% 21.15/5.51 | Equations (257) can reduce 231 to:
% 21.15/5.51 | (194) ~ (e4 = e2)
% 21.15/5.51 |
% 21.15/5.51 | Equations (257) can reduce 43 to:
% 21.15/5.51 | (207) ~ (e4 = e1)
% 21.15/5.51 |
% 21.15/5.51 | From (257) and (113) follows:
% 21.15/5.51 | (266) op(e0, e2) = e4
% 21.15/5.51 |
% 21.15/5.51 +-Applying beta-rule and splitting (130), into two cases.
% 21.15/5.51 |-Branch one:
% 21.15/5.51 | (267) all_0_5_5 = e0
% 21.15/5.51 |
% 21.15/5.51 | Equations (267) can reduce 15 to:
% 21.15/5.51 | (268) ~ (all_0_0_0 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Equations (267) can reduce 152 to:
% 21.15/5.51 | (269) ~ (all_0_7_7 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Simplifying 269 yields:
% 21.15/5.51 | (270) ~ (all_0_7_7 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Equations (267) can reduce 125 to:
% 21.15/5.51 | (271) ~ (all_0_8_8 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Simplifying 271 yields:
% 21.15/5.51 | (272) ~ (all_0_8_8 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Equations (267) can reduce 92 to:
% 21.15/5.51 | (273) ~ (all_0_12_12 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Simplifying 273 yields:
% 21.15/5.51 | (210) ~ (all_0_12_12 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Equations (267) can reduce 76 to:
% 21.15/5.51 | (275) ~ (all_0_16_16 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Simplifying 275 yields:
% 21.15/5.51 | (276) ~ (all_0_16_16 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Equations (267) can reduce 214 to:
% 21.15/5.51 | (277) ~ (e2 = e0)
% 21.15/5.51 |
% 21.15/5.51 | Simplifying 277 yields:
% 21.15/5.51 | (39) ~ (e2 = e0)
% 21.15/5.51 |
% 21.15/5.51 | From (267) and (61) follows:
% 21.15/5.51 | (279) op(e3, e4) = e0
% 21.15/5.51 |
% 21.15/5.51 +-Applying beta-rule and splitting (134), into two cases.
% 21.15/5.51 |-Branch one:
% 21.15/5.51 | (280) all_0_5_5 = e3
% 21.15/5.51 |
% 21.15/5.51 | Combining equations (280,267) yields a new equation:
% 21.15/5.51 | (281) e3 = e0
% 21.15/5.51 |
% 21.15/5.51 | Simplifying 281 yields:
% 21.15/5.51 | (282) e3 = e0
% 21.15/5.51 |
% 21.15/5.51 | Equations (282) can reduce 54 to:
% 21.15/5.51 | (243) $false
% 21.15/5.51 |
% 21.15/5.51 |-The branch is then unsatisfiable
% 21.15/5.51 |-Branch two:
% 21.15/5.51 | (284) ~ (all_0_5_5 = e3)
% 21.15/5.51 | (285) all_0_6_6 = e3 | all_0_7_7 = e3
% 21.15/5.51 |
% 21.15/5.52 +-Applying beta-rule and splitting (285), into two cases.
% 21.15/5.52 |-Branch one:
% 21.15/5.52 | (286) all_0_6_6 = e3
% 21.15/5.52 |
% 21.15/5.52 | Combining equations (212,286) yields a new equation:
% 21.15/5.52 | (287) e3 = e2
% 21.15/5.52 |
% 21.15/5.52 | Equations (287) can reduce 183 to:
% 21.15/5.52 | (243) $false
% 21.15/5.52 |
% 21.15/5.52 |-The branch is then unsatisfiable
% 21.15/5.52 |-Branch two:
% 21.15/5.52 | (289) ~ (all_0_6_6 = e3)
% 21.15/5.52 | (290) all_0_7_7 = e3
% 21.15/5.52 |
% 21.15/5.52 | Equations (290) can reduce 160 to:
% 21.15/5.52 | (291) ~ (all_0_4_4 = e3)
% 21.15/5.52 |
% 21.15/5.52 | Equations (290) can reduce 131 to:
% 21.15/5.52 | (292) ~ (all_0_11_11 = e3)
% 21.15/5.52 |
% 21.15/5.52 | Simplifying 292 yields:
% 21.15/5.52 | (30) ~ (all_0_11_11 = e3)
% 21.15/5.52 |
% 21.15/5.52 | Equations (290) can reduce 6 to:
% 21.15/5.52 | (294) ~ (all_0_15_15 = e3)
% 21.15/5.52 |
% 21.15/5.52 | Simplifying 294 yields:
% 21.15/5.52 | (295) ~ (all_0_15_15 = e3)
% 21.15/5.52 |
% 21.15/5.52 | Equations (290) can reduce 55 to:
% 21.15/5.52 | (296) ~ (all_0_20_20 = e3)
% 21.15/5.52 |
% 21.15/5.52 | Simplifying 296 yields:
% 21.15/5.52 | (297) ~ (all_0_20_20 = e3)
% 21.15/5.52 |
% 21.15/5.52 | Equations (290) can reduce 270 to:
% 21.15/5.52 | (54) ~ (e3 = e0)
% 21.15/5.52 |
% 21.15/5.52 +-Applying beta-rule and splitting (171), into two cases.
% 21.15/5.52 |-Branch one:
% 21.15/5.52 | (299) all_0_13_13 = e2
% 21.15/5.52 |
% 21.15/5.52 | Equations (299) can reduce 227 to:
% 21.15/5.52 | (243) $false
% 21.15/5.52 |
% 21.15/5.52 |-The branch is then unsatisfiable
% 21.15/5.52 |-Branch two:
% 21.15/5.52 | (227) ~ (all_0_13_13 = e2)
% 21.15/5.52 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 21.15/5.52 |
% 21.15/5.52 +-Applying beta-rule and splitting (108), into two cases.
% 21.15/5.52 |-Branch one:
% 21.15/5.52 | (303) all_0_10_10 = e2
% 21.15/5.52 |
% 21.15/5.52 | Equations (303) can reduce 218 to:
% 21.15/5.52 | (243) $false
% 21.15/5.52 |
% 21.15/5.52 |-The branch is then unsatisfiable
% 21.15/5.52 |-Branch two:
% 21.15/5.52 | (218) ~ (all_0_10_10 = e2)
% 21.15/5.52 | (306) all_0_10_10 = e4 | all_0_10_10 = e1
% 21.15/5.52 |
% 21.15/5.52 +-Applying beta-rule and splitting (202), into two cases.
% 21.15/5.52 |-Branch one:
% 21.15/5.52 | (307) all_0_9_9 = e2
% 21.15/5.52 |
% 21.15/5.52 | Equations (307) can reduce 110 to:
% 21.15/5.52 | (308) ~ (all_0_1_1 = e2)
% 21.15/5.52 |
% 21.15/5.52 | Equations (307) can reduce 3 to:
% 21.15/5.52 | (309) ~ (all_0_8_8 = e2)
% 21.15/5.52 |
% 21.15/5.52 | Equations (307) can reduce 60 to:
% 21.15/5.52 | (217) ~ (all_0_10_10 = e2)
% 21.15/5.52 |
% 21.15/5.52 | Simplifying 217 yields:
% 21.15/5.52 | (218) ~ (all_0_10_10 = e2)
% 21.15/5.52 |
% 21.15/5.52 | Equations (307) can reduce 14 to:
% 21.15/5.52 | (312) ~ (all_0_11_11 = e2)
% 21.15/5.52 |
% 21.15/5.52 | Simplifying 312 yields:
% 21.15/5.52 | (313) ~ (all_0_11_11 = e2)
% 21.15/5.52 |
% 21.15/5.52 | Equations (307) can reduce 56 to:
% 21.15/5.52 | (314) ~ (all_0_17_17 = e2)
% 21.15/5.52 |
% 21.15/5.52 | Simplifying 314 yields:
% 21.15/5.52 | (315) ~ (all_0_17_17 = e2)
% 21.15/5.52 |
% 21.15/5.52 | Equations (307) can reduce 58 to:
% 21.15/5.52 | (232) ~ (e3 = e2)
% 21.15/5.52 |
% 21.15/5.52 | Simplifying 232 yields:
% 21.15/5.52 | (183) ~ (e3 = e2)
% 21.15/5.52 |
% 21.15/5.52 +-Applying beta-rule and splitting (132), into two cases.
% 21.15/5.52 |-Branch one:
% 21.15/5.52 | (318) all_0_8_8 = e0
% 21.15/5.52 |
% 21.15/5.52 | Equations (318) can reduce 272 to:
% 21.15/5.52 | (243) $false
% 21.15/5.52 |
% 21.15/5.52 |-The branch is then unsatisfiable
% 21.15/5.52 |-Branch two:
% 21.15/5.52 | (272) ~ (all_0_8_8 = e0)
% 21.15/5.52 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 21.15/5.52 |
% 21.15/5.52 +-Applying beta-rule and splitting (176), into two cases.
% 21.15/5.52 |-Branch one:
% 21.15/5.52 | (322) all_0_1_1 = e0
% 21.15/5.52 |
% 21.15/5.53 | Equations (322) can reduce 237 to:
% 21.15/5.53 | (243) $false
% 21.15/5.53 |
% 21.15/5.53 |-The branch is then unsatisfiable
% 21.15/5.53 |-Branch two:
% 21.15/5.53 | (237) ~ (all_0_1_1 = e0)
% 21.15/5.53 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 21.15/5.53 |
% 21.15/5.53 +-Applying beta-rule and splitting (325), into two cases.
% 21.15/5.53 |-Branch one:
% 21.15/5.53 | (326) all_0_9_9 = e0
% 21.15/5.53 |
% 21.15/5.53 | Combining equations (326,307) yields a new equation:
% 21.15/5.53 | (327) e2 = e0
% 21.15/5.53 |
% 21.15/5.53 | Equations (327) can reduce 39 to:
% 21.15/5.53 | (243) $false
% 21.15/5.53 |
% 21.15/5.53 |-The branch is then unsatisfiable
% 21.15/5.53 |-Branch two:
% 21.15/5.53 | (329) ~ (all_0_9_9 = e0)
% 21.15/5.53 | (330) all_0_17_17 = e0
% 21.15/5.53 |
% 21.15/5.53 | Equations (330) can reduce 73 to:
% 21.15/5.53 | (237) ~ (all_0_1_1 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Equations (330) can reduce 19 to:
% 21.15/5.53 | (21) ~ (all_0_13_13 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Equations (330) can reduce 211 to:
% 21.15/5.53 | (276) ~ (all_0_16_16 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Equations (330) can reduce 163 to:
% 21.15/5.53 | (334) ~ (e4 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Simplifying 334 yields:
% 21.15/5.53 | (4) ~ (e4 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Equations (330) can reduce 315 to:
% 21.15/5.53 | (277) ~ (e2 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Simplifying 277 yields:
% 21.15/5.53 | (39) ~ (e2 = e0)
% 21.15/5.53 |
% 21.15/5.53 +-Applying beta-rule and splitting (321), into two cases.
% 21.15/5.53 |-Branch one:
% 21.15/5.53 | (326) all_0_9_9 = e0
% 21.15/5.53 |
% 21.15/5.53 | Combining equations (307,326) yields a new equation:
% 21.15/5.53 | (339) e2 = e0
% 21.15/5.53 |
% 21.15/5.53 | Simplifying 339 yields:
% 21.15/5.53 | (327) e2 = e0
% 21.15/5.53 |
% 21.15/5.53 | Equations (327) can reduce 39 to:
% 21.15/5.53 | (243) $false
% 21.15/5.53 |
% 21.15/5.53 |-The branch is then unsatisfiable
% 21.15/5.53 |-Branch two:
% 21.15/5.53 | (329) ~ (all_0_9_9 = e0)
% 21.15/5.53 | (343) all_0_11_11 = e0
% 21.15/5.53 |
% 21.15/5.53 | Equations (343) can reduce 82 to:
% 21.15/5.53 | (344) ~ (all_0_4_4 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Equations (343) can reduce 7 to:
% 21.15/5.53 | (272) ~ (all_0_8_8 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Equations (343) can reduce 25 to:
% 21.15/5.53 | (346) ~ (all_0_15_15 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Simplifying 346 yields:
% 21.15/5.53 | (151) ~ (all_0_15_15 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Equations (343) can reduce 45 to:
% 21.15/5.53 | (348) ~ (all_0_20_20 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Simplifying 348 yields:
% 21.15/5.53 | (349) ~ (all_0_20_20 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Equations (343) can reduce 313 to:
% 21.15/5.53 | (277) ~ (e2 = e0)
% 21.15/5.53 |
% 21.15/5.53 | Simplifying 277 yields:
% 21.15/5.53 | (39) ~ (e2 = e0)
% 21.15/5.53 |
% 21.15/5.53 | From (343) and (98) follows:
% 21.15/5.53 | (352) op(e2, e0) = e0
% 21.15/5.53 |
% 21.15/5.53 +-Applying beta-rule and splitting (49), into two cases.
% 21.15/5.53 |-Branch one:
% 21.15/5.53 | (353) all_0_8_8 = e4
% 21.15/5.53 |
% 21.15/5.53 | Equations (353) can reduce 38 to:
% 21.15/5.53 | (354) ~ (all_0_10_10 = e4)
% 21.15/5.53 |
% 21.15/5.53 | Simplifying 354 yields:
% 21.15/5.53 | (355) ~ (all_0_10_10 = e4)
% 21.15/5.53 |
% 21.15/5.53 | Equations (353) can reduce 174 to:
% 21.15/5.53 | (356) ~ (all_0_12_12 = e4)
% 21.15/5.53 |
% 21.15/5.53 | Simplifying 356 yields:
% 21.15/5.53 | (357) ~ (all_0_12_12 = e4)
% 21.15/5.53 |
% 21.15/5.53 | Equations (353) can reduce 117 to:
% 21.15/5.53 | (23) ~ (e4 = e3)
% 21.15/5.53 |
% 21.15/5.53 | From (353) and (27) follows:
% 21.15/5.53 | (359) op(e2, e4) = e4
% 21.15/5.53 |
% 21.15/5.53 +-Applying beta-rule and splitting (150), into two cases.
% 21.15/5.53 |-Branch one:
% 21.15/5.53 | (360) all_0_12_12 = e4
% 21.15/5.53 |
% 21.15/5.53 | Equations (360) can reduce 357 to:
% 21.15/5.53 | (243) $false
% 21.15/5.53 |
% 21.15/5.53 |-The branch is then unsatisfiable
% 21.15/5.53 |-Branch two:
% 21.15/5.53 | (357) ~ (all_0_12_12 = e4)
% 21.15/5.53 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 21.15/5.53 |
% 21.15/5.53 +-Applying beta-rule and splitting (115), into two cases.
% 21.15/5.53 |-Branch one:
% 21.15/5.53 | (364) all_0_3_3 = e4
% 21.15/5.53 |
% 21.15/5.53 | Equations (364) can reduce 47 to:
% 21.15/5.53 | (159) ~ (all_0_1_1 = e4)
% 21.15/5.53 |
% 21.15/5.53 | Equations (364) can reduce 87 to:
% 21.15/5.53 | (354) ~ (all_0_10_10 = e4)
% 21.15/5.53 |
% 21.15/5.53 | Simplifying 354 yields:
% 21.15/5.53 | (355) ~ (all_0_10_10 = e4)
% 21.15/5.53 |
% 21.15/5.53 | Equations (364) can reduce 135 to:
% 21.15/5.53 | (260) ~ (all_0_19_19 = e4)
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 260 yields:
% 21.15/5.54 | (261) ~ (all_0_19_19 = e4)
% 21.15/5.54 |
% 21.15/5.54 | Equations (364) can reduce 213 to:
% 21.15/5.54 | (194) ~ (e4 = e2)
% 21.15/5.54 |
% 21.15/5.54 | From (364) and (185) follows:
% 21.15/5.54 | (371) op(e4, e1) = e4
% 21.15/5.54 |
% 21.15/5.54 +-Applying beta-rule and splitting (140), into two cases.
% 21.15/5.54 |-Branch one:
% 21.15/5.54 | (372) all_0_3_3 = e3
% 21.15/5.54 |
% 21.15/5.54 | Combining equations (372,364) yields a new equation:
% 21.15/5.54 | (373) e4 = e3
% 21.15/5.54 |
% 21.15/5.54 | Equations (373) can reduce 23 to:
% 21.15/5.54 | (243) $false
% 21.15/5.54 |
% 21.15/5.54 |-The branch is then unsatisfiable
% 21.15/5.54 |-Branch two:
% 21.15/5.54 | (375) ~ (all_0_3_3 = e3)
% 21.15/5.54 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 21.15/5.54 |
% 21.15/5.54 +-Applying beta-rule and splitting (306), into two cases.
% 21.15/5.54 |-Branch one:
% 21.15/5.54 | (377) all_0_10_10 = e4
% 21.15/5.54 |
% 21.15/5.54 | Equations (377) can reduce 355 to:
% 21.15/5.54 | (243) $false
% 21.15/5.54 |
% 21.15/5.54 |-The branch is then unsatisfiable
% 21.15/5.54 |-Branch two:
% 21.15/5.54 | (355) ~ (all_0_10_10 = e4)
% 21.15/5.54 | (380) all_0_10_10 = e1
% 21.15/5.54 |
% 21.15/5.54 | Equations (380) can reduce 206 to:
% 21.15/5.54 | (381) ~ (all_0_19_19 = e1)
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 381 yields:
% 21.15/5.54 | (382) ~ (all_0_19_19 = e1)
% 21.15/5.54 |
% 21.15/5.54 | Equations (380) can reduce 355 to:
% 21.15/5.54 | (383) ~ (e4 = e1)
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 383 yields:
% 21.15/5.54 | (207) ~ (e4 = e1)
% 21.15/5.54 |
% 21.15/5.54 | From (380) and (128) follows:
% 21.15/5.54 | (385) op(e2, e1) = e1
% 21.15/5.54 |
% 21.15/5.54 +-Applying beta-rule and splitting (363), into two cases.
% 21.15/5.54 |-Branch one:
% 21.15/5.54 | (252) all_0_14_14 = e4
% 21.15/5.54 |
% 21.15/5.54 | Combining equations (252,224) yields a new equation:
% 21.15/5.54 | (253) e4 = e2
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 253 yields:
% 21.15/5.54 | (254) e4 = e2
% 21.15/5.54 |
% 21.15/5.54 | Equations (254) can reduce 194 to:
% 21.15/5.54 | (243) $false
% 21.15/5.54 |
% 21.15/5.54 |-The branch is then unsatisfiable
% 21.15/5.54 |-Branch two:
% 21.15/5.54 | (256) ~ (all_0_14_14 = e4)
% 21.15/5.54 | (391) all_0_15_15 = e4
% 21.15/5.54 |
% 21.15/5.54 | Equations (391) can reduce 78 to:
% 21.15/5.54 | (392) ~ (all_0_4_4 = e4)
% 21.15/5.54 |
% 21.15/5.54 | Equations (391) can reduce 36 to:
% 21.15/5.54 | (357) ~ (all_0_12_12 = e4)
% 21.15/5.54 |
% 21.15/5.54 | Equations (391) can reduce 179 to:
% 21.15/5.54 | (97) ~ (all_0_13_13 = e4)
% 21.15/5.54 |
% 21.15/5.54 | Equations (391) can reduce 40 to:
% 21.15/5.54 | (262) ~ (all_0_20_20 = e4)
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 262 yields:
% 21.15/5.54 | (263) ~ (all_0_20_20 = e4)
% 21.15/5.54 |
% 21.15/5.54 | Equations (391) can reduce 151 to:
% 21.15/5.54 | (4) ~ (e4 = e0)
% 21.15/5.54 |
% 21.15/5.54 | From (391) and (199) follows:
% 21.15/5.54 | (398) op(e1, e0) = e4
% 21.15/5.54 |
% 21.15/5.54 +-Applying beta-rule and splitting (376), into two cases.
% 21.15/5.54 |-Branch one:
% 21.15/5.54 | (286) all_0_6_6 = e3
% 21.15/5.54 |
% 21.15/5.54 | Combining equations (286,212) yields a new equation:
% 21.15/5.54 | (400) e3 = e2
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 400 yields:
% 21.15/5.54 | (287) e3 = e2
% 21.15/5.54 |
% 21.15/5.54 | Equations (287) can reduce 183 to:
% 21.15/5.54 | (243) $false
% 21.15/5.54 |
% 21.15/5.54 |-The branch is then unsatisfiable
% 21.15/5.54 |-Branch two:
% 21.15/5.54 | (289) ~ (all_0_6_6 = e3)
% 21.15/5.54 | (404) all_0_19_19 = e3
% 21.15/5.54 |
% 21.15/5.54 | Equations (404) can reduce 79 to:
% 21.15/5.54 | (405) ~ (all_0_16_16 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Equations (404) can reduce 158 to:
% 21.15/5.54 | (296) ~ (all_0_20_20 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 296 yields:
% 21.15/5.54 | (297) ~ (all_0_20_20 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Equations (404) can reduce 261 to:
% 21.15/5.54 | (408) ~ (e4 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 408 yields:
% 21.15/5.54 | (23) ~ (e4 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Equations (404) can reduce 220 to:
% 21.15/5.54 | (183) ~ (e3 = e2)
% 21.15/5.54 |
% 21.15/5.54 | Equations (404) can reduce 382 to:
% 21.15/5.54 | (111) ~ (e3 = e1)
% 21.15/5.54 |
% 21.15/5.54 | From (404) and (168) follows:
% 21.15/5.54 | (412) op(e0, e1) = e3
% 21.15/5.54 |
% 21.15/5.54 +-Applying beta-rule and splitting (129), into two cases.
% 21.15/5.54 |-Branch one:
% 21.15/5.54 | (413) all_0_12_12 = e3
% 21.15/5.54 |
% 21.15/5.54 | Equations (413) can reduce 80 to:
% 21.15/5.54 | (414) ~ (all_0_0_0 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Equations (413) can reduce 88 to:
% 21.15/5.54 | (415) ~ (all_0_13_13 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 415 yields:
% 21.15/5.54 | (416) ~ (all_0_13_13 = e3)
% 21.15/5.54 |
% 21.15/5.54 | From (413) and (103) follows:
% 21.15/5.54 | (417) op(e1, e4) = e3
% 21.15/5.54 |
% 21.15/5.54 +-Applying beta-rule and splitting (91), into two cases.
% 21.15/5.54 |-Branch one:
% 21.15/5.54 | (418) all_0_12_12 = e1
% 21.15/5.54 |
% 21.15/5.54 | Combining equations (413,418) yields a new equation:
% 21.15/5.54 | (419) e3 = e1
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 419 yields:
% 21.15/5.54 | (420) e3 = e1
% 21.15/5.54 |
% 21.15/5.54 | Equations (420) can reduce 111 to:
% 21.15/5.54 | (243) $false
% 21.15/5.54 |
% 21.15/5.54 |-The branch is then unsatisfiable
% 21.15/5.54 |-Branch two:
% 21.15/5.54 | (422) ~ (all_0_12_12 = e1)
% 21.15/5.54 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 21.15/5.54 |
% 21.15/5.54 +-Applying beta-rule and splitting (161), into two cases.
% 21.15/5.54 |-Branch one:
% 21.15/5.54 | (424) all_0_1_1 = e3
% 21.15/5.54 |
% 21.15/5.54 | Equations (424) can reduce 178 to:
% 21.15/5.54 | (414) ~ (all_0_0_0 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Equations (424) can reduce 33 to:
% 21.15/5.54 | (426) ~ (all_0_4_4 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Simplifying 426 yields:
% 21.15/5.54 | (291) ~ (all_0_4_4 = e3)
% 21.15/5.54 |
% 21.15/5.54 | Equations (424) can reduce 237 to:
% 21.15/5.54 | (54) ~ (e3 = e0)
% 21.15/5.55 |
% 21.15/5.55 +-Applying beta-rule and splitting (423), into two cases.
% 21.15/5.55 |-Branch one:
% 21.15/5.55 | (429) all_0_13_13 = e1
% 21.15/5.55 |
% 21.15/5.55 | Equations (429) can reduce 97 to:
% 21.15/5.55 | (383) ~ (e4 = e1)
% 21.15/5.55 |
% 21.15/5.55 | Simplifying 383 yields:
% 21.15/5.55 | (207) ~ (e4 = e1)
% 21.15/5.55 |
% 21.15/5.55 | From (429) and (51) follows:
% 21.15/5.55 | (432) op(e1, e3) = e1
% 21.15/5.55 |
% 21.15/5.55 +-Applying beta-rule and splitting (72), into two cases.
% 21.15/5.55 |-Branch one:
% 21.15/5.55 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 21.15/5.55 |
% 21.15/5.55 +-Applying beta-rule and splitting (433), into two cases.
% 21.15/5.55 |-Branch one:
% 21.15/5.55 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.15/5.55 |
% 21.15/5.55 +-Applying beta-rule and splitting (434), into two cases.
% 21.15/5.55 |-Branch one:
% 21.15/5.55 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 21.35/5.55 |
% 21.35/5.55 +-Applying beta-rule and splitting (435), into two cases.
% 21.35/5.55 |-Branch one:
% 21.35/5.55 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 21.35/5.55 |
% 21.35/5.55 | Applying alpha-rule on (436) yields:
% 21.35/5.55 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 21.35/5.55 | (438) ~ (unit = e4)
% 21.35/5.55 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 21.35/5.55 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 21.35/5.55 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 21.35/5.55 | (442) ~ (all_0_15_15 = e4)
% 21.35/5.55 | (280) all_0_5_5 = e3
% 21.35/5.55 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 21.35/5.55 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 21.35/5.55 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 21.35/5.55 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 21.35/5.55 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 21.35/5.55 |
% 21.35/5.55 | Combining equations (280,267) yields a new equation:
% 21.35/5.55 | (281) e3 = e0
% 21.35/5.55 |
% 21.35/5.55 | Simplifying 281 yields:
% 21.35/5.55 | (282) e3 = e0
% 21.35/5.55 |
% 21.35/5.55 | Equations (282) can reduce 54 to:
% 21.35/5.55 | (243) $false
% 21.35/5.55 |
% 21.35/5.55 |-The branch is then unsatisfiable
% 21.35/5.55 |-Branch two:
% 21.35/5.55 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 21.35/5.55 |
% 21.35/5.55 | Applying alpha-rule on (452) yields:
% 21.35/5.55 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 21.35/5.55 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 21.35/5.55 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.55 | (212) all_0_6_6 = e2
% 21.35/5.55 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 21.35/5.55 | (458) ~ (all_0_13_13 = e1)
% 21.35/5.55 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 21.35/5.55 | (460) ~ (all_0_9_9 = e1)
% 21.35/5.55 | (461) ~ (all_0_20_20 = e1)
% 21.35/5.55 | (462) ~ (all_0_11_11 = e1)
% 21.35/5.55 | (463) ~ (unit = e1)
% 21.35/5.55 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.55 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 21.35/5.55 |
% 21.35/5.55 | Equations (429) can reduce 458 to:
% 21.35/5.55 | (243) $false
% 21.35/5.55 |
% 21.35/5.55 |-The branch is then unsatisfiable
% 21.35/5.55 |-Branch two:
% 21.35/5.55 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 21.35/5.56 |
% 21.35/5.56 | Applying alpha-rule on (467) yields:
% 21.35/5.56 | (468) ~ (all_0_7_7 = e3)
% 21.35/5.56 | (405) ~ (all_0_16_16 = e3)
% 21.35/5.56 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 21.35/5.56 | (295) ~ (all_0_15_15 = e3)
% 21.35/5.56 | (472) ~ (all_0_12_12 = e3)
% 21.35/5.56 | (289) ~ (all_0_6_6 = e3)
% 21.35/5.56 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 21.35/5.56 | (475) ~ (unit = e3)
% 21.35/5.56 | (307) all_0_9_9 = e2
% 21.35/5.56 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 21.35/5.56 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 21.35/5.56 | (414) ~ (all_0_0_0 = e3)
% 21.35/5.56 |
% 21.35/5.56 | Equations (413) can reduce 472 to:
% 21.35/5.56 | (243) $false
% 21.35/5.56 |
% 21.35/5.56 |-The branch is then unsatisfiable
% 21.35/5.56 |-Branch two:
% 21.35/5.56 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 21.35/5.56 |
% 21.35/5.56 | Applying alpha-rule on (481) yields:
% 21.35/5.56 | (482) all_0_15_15 = e1
% 21.35/5.56 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 21.35/5.56 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 21.35/5.56 | (329) ~ (all_0_9_9 = e0)
% 21.35/5.56 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 21.35/5.56 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 21.35/5.56 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 21.35/5.56 | (489) ~ (unit = e0)
% 21.35/5.56 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 21.35/5.56 | (491) ~ (all_0_5_5 = e0)
% 21.35/5.56 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 21.35/5.56 |
% 21.35/5.56 | Combining equations (391,482) yields a new equation:
% 21.35/5.56 | (493) e4 = e1
% 21.35/5.56 |
% 21.35/5.56 | Simplifying 493 yields:
% 21.35/5.56 | (494) e4 = e1
% 21.35/5.56 |
% 21.35/5.56 | Equations (494) can reduce 207 to:
% 21.35/5.56 | (243) $false
% 21.35/5.56 |
% 21.35/5.56 |-The branch is then unsatisfiable
% 21.35/5.56 |-Branch two:
% 21.35/5.56 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 21.35/5.56 |
% 21.35/5.56 | Applying alpha-rule on (496) yields:
% 21.35/5.56 | (308) ~ (all_0_1_1 = e2)
% 21.35/5.56 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 21.35/5.56 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 21.35/5.56 | (214) ~ (all_0_5_5 = e2)
% 21.35/5.56 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 21.35/5.56 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 21.35/5.56 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 21.35/5.56 | (213) ~ (all_0_3_3 = e2)
% 21.35/5.56 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 21.35/5.56 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 21.35/5.56 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 21.35/5.56 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 21.35/5.56 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 21.35/5.56 | (309) ~ (all_0_8_8 = e2)
% 21.35/5.56 | (220) ~ (all_0_19_19 = e2)
% 21.35/5.56 | (315) ~ (all_0_17_17 = e2)
% 21.35/5.56 | (216) ~ (all_0_7_7 = e2)
% 21.35/5.56 | (218) ~ (all_0_10_10 = e2)
% 21.35/5.56 | (227) ~ (all_0_13_13 = e2)
% 21.35/5.56 | (229) ~ (all_0_15_15 = e2)
% 21.35/5.56 | (313) ~ (all_0_11_11 = e2)
% 21.35/5.56 |
% 21.35/5.56 | Equations (391) can reduce 229 to:
% 21.35/5.56 | (194) ~ (e4 = e2)
% 21.35/5.56 |
% 21.35/5.56 | Equations (330) can reduce 315 to:
% 21.35/5.56 | (277) ~ (e2 = e0)
% 21.35/5.56 |
% 21.35/5.56 | Simplifying 277 yields:
% 21.35/5.56 | (39) ~ (e2 = e0)
% 21.35/5.56 |
% 21.35/5.56 | Equations (404) can reduce 220 to:
% 21.35/5.56 | (183) ~ (e3 = e2)
% 21.35/5.56 |
% 21.35/5.56 +-Applying beta-rule and splitting (506), into two cases.
% 21.35/5.56 |-Branch one:
% 21.35/5.56 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.56 |
% 21.35/5.56 +-Applying beta-rule and splitting (18), into two cases.
% 21.35/5.56 |-Branch one:
% 21.35/5.56 | (523) all_0_20_20 = e1
% 21.35/5.56 |
% 21.35/5.56 | Equations (523) can reduce 26 to:
% 21.35/5.56 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.56 |
% 21.35/5.56 | Equations (523) can reduce 81 to:
% 21.35/5.56 | (525) ~ (all_0_16_16 = e1)
% 21.35/5.56 |
% 21.35/5.56 | Equations (523) can reduce 263 to:
% 21.35/5.56 | (383) ~ (e4 = e1)
% 21.35/5.56 |
% 21.35/5.56 | Simplifying 383 yields:
% 21.35/5.56 | (207) ~ (e4 = e1)
% 21.35/5.56 |
% 21.35/5.56 | Equations (523) can reduce 297 to:
% 21.35/5.56 | (528) ~ (e3 = e1)
% 21.35/5.56 |
% 21.35/5.56 | Simplifying 528 yields:
% 21.35/5.56 | (111) ~ (e3 = e1)
% 21.35/5.56 |
% 21.35/5.56 | Equations (523) can reduce 522 to:
% 21.35/5.56 | (530) ~ (e2 = e1)
% 21.35/5.56 |
% 21.35/5.56 | Simplifying 530 yields:
% 21.35/5.56 | (114) ~ (e2 = e1)
% 21.35/5.56 |
% 21.35/5.56 +-Applying beta-rule and splitting (120), into two cases.
% 21.35/5.56 |-Branch one:
% 21.35/5.56 | (532) all_0_16_16 = e2
% 21.35/5.56 |
% 21.35/5.56 | Equations (532) can reduce 525 to:
% 21.35/5.56 | (114) ~ (e2 = e1)
% 21.35/5.56 |
% 21.35/5.56 | From (532) and (101) follows:
% 21.35/5.56 | (534) op(e0, e4) = e2
% 21.35/5.56 |
% 21.35/5.56 +-Applying beta-rule and splitting (156), into two cases.
% 21.35/5.56 |-Branch one:
% 21.35/5.56 | (535) all_0_4_4 = e2
% 21.35/5.56 |
% 21.35/5.56 | Equations (535) can reduce 93 to:
% 21.35/5.57 | (536) ~ (all_0_0_0 = e2)
% 21.35/5.57 |
% 21.35/5.57 | Equations (535) can reduce 464 to:
% 21.35/5.57 | (114) ~ (e2 = e1)
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (107), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (538) all_0_0_0 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (538) can reduce 536 to:
% 21.35/5.57 | (530) ~ (e2 = e1)
% 21.35/5.57 |
% 21.35/5.57 | Simplifying 530 yields:
% 21.35/5.57 | (114) ~ (e2 = e1)
% 21.35/5.57 |
% 21.35/5.57 | Equations (538) can reduce 268 to:
% 21.35/5.57 | (109) ~ (e1 = e0)
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (509), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.57 |
% 21.35/5.57 | Equations (532) can reduce 542 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (532) all_0_16_16 = e2
% 21.35/5.57 | (545) all_0_18_18 = e4 & ~ (unit = e2)
% 21.35/5.57 |
% 21.35/5.57 | Applying alpha-rule on (545) yields:
% 21.35/5.57 | (257) all_0_18_18 = e4
% 21.35/5.57 | (547) ~ (unit = e2)
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (46), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (548) unit = e2
% 21.35/5.57 |
% 21.35/5.57 | Equations (548) can reduce 547 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (547) ~ (unit = e2)
% 21.35/5.57 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (551), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (552) unit = e4
% 21.35/5.57 |
% 21.35/5.57 | From (552) and (100) follows:
% 21.35/5.57 | (553) op(e4, e1) = e1
% 21.35/5.57 |
% 21.35/5.57 | From (552) and (139) follows:
% 21.35/5.57 | (554) op(e2, e4) = e2
% 21.35/5.57 |
% 21.35/5.57 | From (552) and (175) follows:
% 21.35/5.57 | (555) op(e0, e4) = e0
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e4, e1, e1, e4 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields:
% 21.35/5.57 | (494) e4 = e1
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields:
% 21.35/5.57 | (254) e4 = e2
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 21.35/5.57 | (327) e2 = e0
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (254,494) yields a new equation:
% 21.35/5.57 | (559) e2 = e1
% 21.35/5.57 |
% 21.35/5.57 | Simplifying 559 yields:
% 21.35/5.57 | (560) e2 = e1
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (327,560) yields a new equation:
% 21.35/5.57 | (561) e1 = e0
% 21.35/5.57 |
% 21.35/5.57 | Equations (561) can reduce 109 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (438) ~ (unit = e4)
% 21.35/5.57 | (564) unit = e3 | unit = e1 | unit = e0
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (564), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (565) unit = e1
% 21.35/5.57 |
% 21.35/5.57 | From (565) and (169) follows:
% 21.35/5.57 | (566) op(e1, e4) = e4
% 21.35/5.57 |
% 21.35/5.57 | From (565) and (121) follows:
% 21.35/5.57 | (567) op(e1, e3) = e3
% 21.35/5.57 |
% 21.35/5.57 | From (565) and (77) follows:
% 21.35/5.57 | (568) op(e1, e0) = e0
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields:
% 21.35/5.57 | (373) e4 = e3
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 21.35/5.57 | (420) e3 = e1
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e1, e0, e0, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e0, yields:
% 21.35/5.57 | (248) e4 = e0
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (248,373) yields a new equation:
% 21.35/5.57 | (282) e3 = e0
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (282,420) yields a new equation:
% 21.35/5.57 | (561) e1 = e0
% 21.35/5.57 |
% 21.35/5.57 | Equations (561) can reduce 109 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (463) ~ (unit = e1)
% 21.35/5.57 | (576) unit = e3 | unit = e0
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (576), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (577) unit = e0
% 21.35/5.57 |
% 21.35/5.57 | Equations (577) can reduce 463 to:
% 21.35/5.57 | (578) ~ (e1 = e0)
% 21.35/5.57 |
% 21.35/5.57 | Simplifying 578 yields:
% 21.35/5.57 | (109) ~ (e1 = e0)
% 21.35/5.57 |
% 21.35/5.57 | From (577) and (184) follows:
% 21.35/5.57 | (580) op(e0, e2) = e2
% 21.35/5.57 |
% 21.35/5.57 | From (577) and (139) follows:
% 21.35/5.57 | (581) op(e2, e0) = e2
% 21.35/5.57 |
% 21.35/5.57 | From (577) and (172) follows:
% 21.35/5.57 | (582) op(e1, e0) = e1
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 21.35/5.57 | (327) e2 = e0
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields:
% 21.35/5.57 | (494) e4 = e1
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields:
% 21.35/5.57 | (254) e4 = e2
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (494,254) yields a new equation:
% 21.35/5.57 | (560) e2 = e1
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (560,327) yields a new equation:
% 21.35/5.57 | (587) e1 = e0
% 21.35/5.57 |
% 21.35/5.57 | Simplifying 587 yields:
% 21.35/5.57 | (561) e1 = e0
% 21.35/5.57 |
% 21.35/5.57 | Equations (561) can reduce 109 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (489) ~ (unit = e0)
% 21.35/5.57 | (591) unit = e3
% 21.35/5.57 |
% 21.35/5.57 | From (591) and (100) follows:
% 21.35/5.57 | (592) op(e3, e1) = e1
% 21.35/5.57 |
% 21.35/5.57 | Instantiating formula (105) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields:
% 21.35/5.57 | (560) e2 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (560) can reduce 114 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (595) ~ (all_0_0_0 = e1)
% 21.35/5.57 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (37), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (538) all_0_0_0 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (538) can reduce 595 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (595) ~ (all_0_0_0 = e1)
% 21.35/5.57 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (509), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.57 |
% 21.35/5.57 | Equations (532) can reduce 542 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (532) all_0_16_16 = e2
% 21.35/5.57 | (545) all_0_18_18 = e4 & ~ (unit = e2)
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (596), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (605) all_0_1_1 = e1
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (605,424) yields a new equation:
% 21.35/5.57 | (420) e3 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (420) can reduce 111 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (608) ~ (all_0_1_1 = e1)
% 21.35/5.57 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (424) can reduce 608 to:
% 21.35/5.57 | (111) ~ (e3 = e1)
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (600), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (611) all_0_8_8 = e1
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (611,353) yields a new equation:
% 21.35/5.57 | (494) e4 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (494) can reduce 207 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (614) ~ (all_0_8_8 = e1)
% 21.35/5.57 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (615), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (418) all_0_12_12 = e1
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (413,418) yields a new equation:
% 21.35/5.57 | (419) e3 = e1
% 21.35/5.57 |
% 21.35/5.57 | Simplifying 419 yields:
% 21.35/5.57 | (420) e3 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (420) can reduce 111 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.57 | (621) all_0_16_16 = e1
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (532,621) yields a new equation:
% 21.35/5.57 | (559) e2 = e1
% 21.35/5.57 |
% 21.35/5.57 | Simplifying 559 yields:
% 21.35/5.57 | (560) e2 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (560) can reduce 114 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (625) ~ (all_0_4_4 = e2)
% 21.35/5.57 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (107), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (538) all_0_0_0 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (538) can reduce 93 to:
% 21.35/5.57 | (628) ~ (all_0_4_4 = e1)
% 21.35/5.57 |
% 21.35/5.57 | Simplifying 628 yields:
% 21.35/5.57 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (626), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (630) all_0_4_4 = e4
% 21.35/5.57 |
% 21.35/5.57 | Equations (630) can reduce 392 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (392) ~ (all_0_4_4 = e4)
% 21.35/5.57 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (633), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (634) all_0_4_4 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (634) can reduce 464 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.57 | (637) all_0_4_4 = e3 | all_0_4_4 = e0
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (637), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (638) all_0_4_4 = e0
% 21.35/5.57 |
% 21.35/5.57 | Equations (638) can reduce 344 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (344) ~ (all_0_4_4 = e0)
% 21.35/5.57 | (641) all_0_4_4 = e3
% 21.35/5.57 |
% 21.35/5.57 | Equations (641) can reduce 291 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (595) ~ (all_0_0_0 = e1)
% 21.35/5.57 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 21.35/5.57 |
% 21.35/5.57 +-Applying beta-rule and splitting (596), into two cases.
% 21.35/5.57 |-Branch one:
% 21.35/5.57 | (605) all_0_1_1 = e1
% 21.35/5.57 |
% 21.35/5.57 | Combining equations (605,424) yields a new equation:
% 21.35/5.57 | (420) e3 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (420) can reduce 111 to:
% 21.35/5.57 | (243) $false
% 21.35/5.57 |
% 21.35/5.57 |-The branch is then unsatisfiable
% 21.35/5.57 |-Branch two:
% 21.35/5.57 | (608) ~ (all_0_1_1 = e1)
% 21.35/5.57 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 21.35/5.57 |
% 21.35/5.57 | Equations (424) can reduce 608 to:
% 21.35/5.57 | (111) ~ (e3 = e1)
% 21.35/5.57 |
% 21.35/5.58 +-Applying beta-rule and splitting (37), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (538) all_0_0_0 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (538) can reduce 595 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (595) ~ (all_0_0_0 = e1)
% 21.35/5.58 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (600), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (611) all_0_8_8 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (353,611) yields a new equation:
% 21.35/5.58 | (493) e4 = e1
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 493 yields:
% 21.35/5.58 | (494) e4 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (494) can reduce 207 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (614) ~ (all_0_8_8 = e1)
% 21.35/5.58 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (615), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (418) all_0_12_12 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (413,418) yields a new equation:
% 21.35/5.58 | (419) e3 = e1
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 419 yields:
% 21.35/5.58 | (420) e3 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (420) can reduce 111 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.58 | (621) all_0_16_16 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (532,621) yields a new equation:
% 21.35/5.58 | (559) e2 = e1
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 559 yields:
% 21.35/5.58 | (560) e2 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (560) can reduce 114 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.58 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (136), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (672) all_0_0_0 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (107), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (538) all_0_0_0 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (538,672) yields a new equation:
% 21.35/5.58 | (560) e2 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (560) can reduce 114 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (595) ~ (all_0_0_0 = e1)
% 21.35/5.58 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (672) can reduce 595 to:
% 21.35/5.58 | (114) ~ (e2 = e1)
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (37), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (538) all_0_0_0 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (538,672) yields a new equation:
% 21.35/5.58 | (560) e2 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (560) can reduce 114 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (595) ~ (all_0_0_0 = e1)
% 21.35/5.58 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (600), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (611) all_0_8_8 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (611,353) yields a new equation:
% 21.35/5.58 | (494) e4 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (494) can reduce 207 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (614) ~ (all_0_8_8 = e1)
% 21.35/5.58 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (353) can reduce 614 to:
% 21.35/5.58 | (207) ~ (e4 = e1)
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (596), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (605) all_0_1_1 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (605,424) yields a new equation:
% 21.35/5.58 | (420) e3 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (420) can reduce 111 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (608) ~ (all_0_1_1 = e1)
% 21.35/5.58 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (609), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (695) all_0_3_3 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (695,364) yields a new equation:
% 21.35/5.58 | (494) e4 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (494) can reduce 207 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (698) ~ (all_0_3_3 = e1)
% 21.35/5.58 | (634) all_0_4_4 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (634) can reduce 464 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (536) ~ (all_0_0_0 = e2)
% 21.35/5.58 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (107), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (538) all_0_0_0 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (538) can reduce 536 to:
% 21.35/5.58 | (530) ~ (e2 = e1)
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 530 yields:
% 21.35/5.58 | (114) ~ (e2 = e1)
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (83), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (672) all_0_0_0 = e2
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (672,538) yields a new equation:
% 21.35/5.58 | (559) e2 = e1
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 559 yields:
% 21.35/5.58 | (560) e2 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (560) can reduce 114 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (536) ~ (all_0_0_0 = e2)
% 21.35/5.58 | (711) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (154), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (532) all_0_16_16 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (532) can reduce 542 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.58 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (138), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (535) all_0_4_4 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (535) can reduce 392 to:
% 21.35/5.58 | (221) ~ (e4 = e2)
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 221 yields:
% 21.35/5.58 | (194) ~ (e4 = e2)
% 21.35/5.58 |
% 21.35/5.58 | Equations (535) can reduce 291 to:
% 21.35/5.58 | (232) ~ (e3 = e2)
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 232 yields:
% 21.35/5.58 | (183) ~ (e3 = e2)
% 21.35/5.58 |
% 21.35/5.58 | Equations (535) can reduce 344 to:
% 21.35/5.58 | (39) ~ (e2 = e0)
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (702), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (722) all_0_5_5 = e2
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (267,722) yields a new equation:
% 21.35/5.58 | (327) e2 = e0
% 21.35/5.58 |
% 21.35/5.58 | Equations (327) can reduce 39 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (214) ~ (all_0_5_5 = e2)
% 21.35/5.58 | (726) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (726), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (727) all_0_8_8 = e2
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (727,353) yields a new equation:
% 21.35/5.58 | (254) e4 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (254) can reduce 194 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (309) ~ (all_0_8_8 = e2)
% 21.35/5.58 | (731) all_0_12_12 = e2 | all_0_16_16 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (731), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (732) all_0_12_12 = e2
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (413,732) yields a new equation:
% 21.35/5.58 | (400) e3 = e2
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 400 yields:
% 21.35/5.58 | (287) e3 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (287) can reduce 183 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (226) ~ (all_0_12_12 = e2)
% 21.35/5.58 | (532) all_0_16_16 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (532) can reduce 542 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (625) ~ (all_0_4_4 = e2)
% 21.35/5.58 | (740) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (711), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (741) all_0_1_1 = e2
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (741,424) yields a new equation:
% 21.35/5.58 | (287) e3 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (287) can reduce 183 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (308) ~ (all_0_1_1 = e2)
% 21.35/5.58 | (745) all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (156), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (535) all_0_4_4 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (535) can reduce 625 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (625) ~ (all_0_4_4 = e2)
% 21.35/5.58 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (745), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (750) all_0_2_2 = e2
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (236,750) yields a new equation:
% 21.35/5.58 | (327) e2 = e0
% 21.35/5.58 |
% 21.35/5.58 | Equations (327) can reduce 39 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (225) ~ (all_0_2_2 = e2)
% 21.35/5.58 | (754) all_0_3_3 = e2 | all_0_4_4 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (754), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (755) all_0_3_3 = e2
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (755,364) yields a new equation:
% 21.35/5.58 | (254) e4 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (254) can reduce 194 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (213) ~ (all_0_3_3 = e2)
% 21.35/5.58 | (535) all_0_4_4 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (535) can reduce 625 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (595) ~ (all_0_0_0 = e1)
% 21.35/5.58 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (37), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (538) all_0_0_0 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (538) can reduce 595 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (595) ~ (all_0_0_0 = e1)
% 21.35/5.58 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (600), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (611) all_0_8_8 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (611,353) yields a new equation:
% 21.35/5.58 | (494) e4 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (494) can reduce 207 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (614) ~ (all_0_8_8 = e1)
% 21.35/5.58 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (615), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (418) all_0_12_12 = e1
% 21.35/5.58 |
% 21.35/5.58 | Combining equations (413,418) yields a new equation:
% 21.35/5.58 | (419) e3 = e1
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 419 yields:
% 21.35/5.58 | (420) e3 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (420) can reduce 111 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.58 | (621) all_0_16_16 = e1
% 21.35/5.58 |
% 21.35/5.58 | Equations (621) can reduce 525 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (461) ~ (all_0_20_20 = e1)
% 21.35/5.58 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (138), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (535) all_0_4_4 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (535) can reduce 26 to:
% 21.35/5.58 | (782) ~ (all_0_20_20 = e2)
% 21.35/5.58 |
% 21.35/5.58 | Simplifying 782 yields:
% 21.35/5.58 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (96), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (784) all_0_20_20 = e2
% 21.35/5.58 |
% 21.35/5.58 | Equations (784) can reduce 522 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.58 | (787) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (780), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (788) all_0_0_0 = e3
% 21.35/5.58 |
% 21.35/5.58 | Equations (788) can reduce 414 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (414) ~ (all_0_0_0 = e3)
% 21.35/5.58 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (787), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (792) all_0_20_20 = e4
% 21.35/5.58 |
% 21.35/5.58 | Equations (792) can reduce 263 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (263) ~ (all_0_20_20 = e4)
% 21.35/5.58 | (795) all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (791), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.58 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 21.35/5.58 |
% 21.35/5.58 | Applying alpha-rule on (796) yields:
% 21.35/5.58 | (797) all_0_0_0 = e0
% 21.35/5.58 | (792) all_0_20_20 = e4
% 21.35/5.58 | (392) ~ (all_0_4_4 = e4)
% 21.35/5.58 |
% 21.35/5.58 | Equations (792) can reduce 263 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 21.35/5.58 |
% 21.35/5.58 | Applying alpha-rule on (801) yields:
% 21.35/5.58 | (797) all_0_0_0 = e0
% 21.35/5.58 | (792) all_0_20_20 = e4
% 21.35/5.58 | (276) ~ (all_0_16_16 = e0)
% 21.35/5.58 |
% 21.35/5.58 | Equations (792) can reduce 263 to:
% 21.35/5.58 | (243) $false
% 21.35/5.58 |
% 21.35/5.58 |-The branch is then unsatisfiable
% 21.35/5.58 |-Branch two:
% 21.35/5.58 | (625) ~ (all_0_4_4 = e2)
% 21.35/5.58 | (740) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 21.35/5.58 |
% 21.35/5.58 +-Applying beta-rule and splitting (96), into two cases.
% 21.35/5.58 |-Branch one:
% 21.35/5.59 | (784) all_0_20_20 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (784) can reduce 522 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.59 | (787) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (740), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (812) all_0_7_7 = e2
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (290,812) yields a new equation:
% 21.35/5.59 | (400) e3 = e2
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 400 yields:
% 21.35/5.59 | (287) e3 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (287) can reduce 183 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (216) ~ (all_0_7_7 = e2)
% 21.35/5.59 | (817) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (817), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (818) all_0_11_11 = e2
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (343,818) yields a new equation:
% 21.35/5.59 | (327) e2 = e0
% 21.35/5.59 |
% 21.35/5.59 | Equations (327) can reduce 39 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (313) ~ (all_0_11_11 = e2)
% 21.35/5.59 | (822) all_0_15_15 = e2 | all_0_20_20 = e2
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (822), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (823) all_0_15_15 = e2
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (391,823) yields a new equation:
% 21.35/5.59 | (253) e4 = e2
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 253 yields:
% 21.35/5.59 | (254) e4 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (254) can reduce 194 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (229) ~ (all_0_15_15 = e2)
% 21.35/5.59 | (784) all_0_20_20 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (784) can reduce 522 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (784) all_0_20_20 = e2
% 21.35/5.59 | (831) all_0_18_18 = e0 & ~ (unit = e2)
% 21.35/5.59 |
% 21.35/5.59 | Applying alpha-rule on (831) yields:
% 21.35/5.59 | (832) all_0_18_18 = e0
% 21.35/5.59 | (547) ~ (unit = e2)
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (257,832) yields a new equation:
% 21.35/5.59 | (247) e4 = e0
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 247 yields:
% 21.35/5.59 | (248) e4 = e0
% 21.35/5.59 |
% 21.35/5.59 | Equations (248) can reduce 4 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (458) ~ (all_0_13_13 = e1)
% 21.35/5.59 | (482) all_0_15_15 = e1
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (391,482) yields a new equation:
% 21.35/5.59 | (493) e4 = e1
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 493 yields:
% 21.35/5.59 | (494) e4 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (494) can reduce 207 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (842) ~ (all_0_1_1 = e3)
% 21.35/5.59 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (142), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (741) all_0_1_1 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (741) can reduce 308 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (308) ~ (all_0_1_1 = e2)
% 21.35/5.59 | (847) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (302), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (429) all_0_13_13 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (429) can reduce 70 to:
% 21.35/5.59 | (608) ~ (all_0_1_1 = e1)
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (74), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (788) all_0_0_0 = e3
% 21.35/5.59 |
% 21.35/5.59 | Equations (788) can reduce 414 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (414) ~ (all_0_0_0 = e3)
% 21.35/5.59 | (853) all_0_1_1 = e3 | all_0_3_3 = e3 | all_0_4_4 = e3
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (853), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (424) all_0_1_1 = e3
% 21.35/5.59 |
% 21.35/5.59 | Equations (424) can reduce 842 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (842) ~ (all_0_1_1 = e3)
% 21.35/5.59 | (857) all_0_3_3 = e3 | all_0_4_4 = e3
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (847), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (605) all_0_1_1 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (605) can reduce 608 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (608) ~ (all_0_1_1 = e1)
% 21.35/5.59 | (861) all_0_1_1 = e3 | all_0_1_1 = e0
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (861), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (322) all_0_1_1 = e0
% 21.35/5.59 |
% 21.35/5.59 | Equations (322) can reduce 237 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (237) ~ (all_0_1_1 = e0)
% 21.35/5.59 | (424) all_0_1_1 = e3
% 21.35/5.59 |
% 21.35/5.59 | Equations (424) can reduce 842 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (458) ~ (all_0_13_13 = e1)
% 21.35/5.59 | (868) all_0_13_13 = e3
% 21.35/5.59 |
% 21.35/5.59 | Equations (868) can reduce 416 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (472) ~ (all_0_12_12 = e3)
% 21.35/5.59 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (186), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (732) all_0_12_12 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (732) can reduce 226 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (226) ~ (all_0_12_12 = e2)
% 21.35/5.59 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (170), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (788) all_0_0_0 = e3
% 21.35/5.59 |
% 21.35/5.59 | Equations (788) can reduce 178 to:
% 21.35/5.59 | (877) ~ (all_0_1_1 = e3)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 877 yields:
% 21.35/5.59 | (842) ~ (all_0_1_1 = e3)
% 21.35/5.59 |
% 21.35/5.59 | Equations (788) can reduce 93 to:
% 21.35/5.59 | (426) ~ (all_0_4_4 = e3)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 426 yields:
% 21.35/5.59 | (291) ~ (all_0_4_4 = e3)
% 21.35/5.59 |
% 21.35/5.59 | Equations (788) can reduce 268 to:
% 21.35/5.59 | (54) ~ (e3 = e0)
% 21.35/5.59 |
% 21.35/5.59 | From (788) and (201) follows:
% 21.35/5.59 | (882) op(e4, e4) = e3
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (161), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (424) all_0_1_1 = e3
% 21.35/5.59 |
% 21.35/5.59 | Equations (424) can reduce 842 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (842) ~ (all_0_1_1 = e3)
% 21.35/5.59 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (142), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (741) all_0_1_1 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (741) can reduce 308 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (308) ~ (all_0_1_1 = e2)
% 21.35/5.59 | (847) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (136), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (672) all_0_0_0 = e2
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (672,788) yields a new equation:
% 21.35/5.59 | (287) e3 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (287) can reduce 183 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (536) ~ (all_0_0_0 = e2)
% 21.35/5.59 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (875), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (360) all_0_12_12 = e4
% 21.35/5.59 |
% 21.35/5.59 | Equations (360) can reduce 357 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (357) ~ (all_0_12_12 = e4)
% 21.35/5.59 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (843), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (868) all_0_13_13 = e3
% 21.35/5.59 |
% 21.35/5.59 | Equations (868) can reduce 70 to:
% 21.35/5.59 | (842) ~ (all_0_1_1 = e3)
% 21.35/5.59 |
% 21.35/5.59 | Equations (868) can reduce 88 to:
% 21.35/5.59 | (472) ~ (all_0_12_12 = e3)
% 21.35/5.59 |
% 21.35/5.59 | Equations (868) can reduce 21 to:
% 21.35/5.59 | (54) ~ (e3 = e0)
% 21.35/5.59 |
% 21.35/5.59 | From (868) and (51) follows:
% 21.35/5.59 | (567) op(e1, e3) = e3
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (91), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (418) all_0_12_12 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (418) can reduce 189 to:
% 21.35/5.59 | (906) ~ (all_0_16_16 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 906 yields:
% 21.35/5.59 | (525) ~ (all_0_16_16 = e1)
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (153), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (621) all_0_16_16 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (621) can reduce 525 to:
% 21.35/5.59 | (243) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (525) ~ (all_0_16_16 = e1)
% 21.35/5.59 | (911) all_0_17_17 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (847), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (605) all_0_1_1 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (605) can reduce 33 to:
% 21.35/5.59 | (628) ~ (all_0_4_4 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 628 yields:
% 21.35/5.59 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Equations (605) can reduce 159 to:
% 21.35/5.59 | (383) ~ (e4 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 383 yields:
% 21.35/5.59 | (207) ~ (e4 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Equations (605) can reduce 842 to:
% 21.35/5.59 | (528) ~ (e3 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 528 yields:
% 21.35/5.59 | (111) ~ (e3 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Equations (605) can reduce 237 to:
% 21.35/5.59 | (109) ~ (e1 = e0)
% 21.35/5.59 |
% 21.35/5.59 | From (605) and (133) follows:
% 21.35/5.59 | (920) op(e4, e3) = e1
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (156), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (535) all_0_4_4 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (535) can reduce 26 to:
% 21.35/5.59 | (782) ~ (all_0_20_20 = e2)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 782 yields:
% 21.35/5.59 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (72), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (433), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.35/5.60 |
% 21.35/5.60 +-Applying beta-rule and splitting (434), into two cases.
% 21.35/5.60 |-Branch one:
% 21.35/5.60 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 21.35/5.60 |
% 21.35/5.60 +-Applying beta-rule and splitting (435), into two cases.
% 21.35/5.60 |-Branch one:
% 21.35/5.60 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 21.35/5.60 |
% 21.35/5.60 | Applying alpha-rule on (436) yields:
% 21.35/5.60 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 21.35/5.60 | (438) ~ (unit = e4)
% 21.35/5.60 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 21.35/5.60 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 21.35/5.60 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 21.35/5.60 | (442) ~ (all_0_15_15 = e4)
% 21.35/5.60 | (280) all_0_5_5 = e3
% 21.35/5.60 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 21.35/5.60 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 21.35/5.60 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 21.35/5.60 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 21.35/5.60 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 21.35/5.60 |
% 21.35/5.60 | Combining equations (267,280) yields a new equation:
% 21.35/5.60 | (282) e3 = e0
% 21.35/5.60 |
% 21.35/5.60 | Equations (282) can reduce 54 to:
% 21.35/5.60 | (243) $false
% 21.35/5.60 |
% 21.35/5.60 |-The branch is then unsatisfiable
% 21.35/5.60 |-Branch two:
% 21.35/5.60 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 21.35/5.60 |
% 21.35/5.60 | Applying alpha-rule on (452) yields:
% 21.35/5.60 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 21.35/5.60 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 21.35/5.60 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.60 | (212) all_0_6_6 = e2
% 21.35/5.60 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 21.35/5.60 | (458) ~ (all_0_13_13 = e1)
% 21.35/5.60 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 21.35/5.60 | (460) ~ (all_0_9_9 = e1)
% 21.35/5.60 | (461) ~ (all_0_20_20 = e1)
% 21.35/5.60 | (462) ~ (all_0_11_11 = e1)
% 21.35/5.60 | (463) ~ (unit = e1)
% 21.35/5.60 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.60 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 21.35/5.60 |
% 21.35/5.60 | Equations (418) can reduce 422 to:
% 21.35/5.60 | (243) $false
% 21.35/5.60 |
% 21.35/5.60 |-The branch is then unsatisfiable
% 21.35/5.60 |-Branch two:
% 21.35/5.60 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 21.35/5.60 |
% 21.35/5.60 | Applying alpha-rule on (467) yields:
% 21.35/5.60 | (468) ~ (all_0_7_7 = e3)
% 21.35/5.60 | (405) ~ (all_0_16_16 = e3)
% 21.35/5.60 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 21.35/5.60 | (295) ~ (all_0_15_15 = e3)
% 21.35/5.60 | (472) ~ (all_0_12_12 = e3)
% 21.35/5.60 | (289) ~ (all_0_6_6 = e3)
% 21.35/5.60 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 21.35/5.60 | (475) ~ (unit = e3)
% 21.35/5.60 | (307) all_0_9_9 = e2
% 21.35/5.60 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 21.35/5.60 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 21.35/5.60 | (414) ~ (all_0_0_0 = e3)
% 21.35/5.60 |
% 21.35/5.60 | Equations (290) can reduce 468 to:
% 21.35/5.60 | (243) $false
% 21.35/5.60 |
% 21.35/5.60 |-The branch is then unsatisfiable
% 21.35/5.60 |-Branch two:
% 21.35/5.60 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 21.35/5.60 |
% 21.35/5.60 | Applying alpha-rule on (481) yields:
% 21.35/5.60 | (482) all_0_15_15 = e1
% 21.35/5.60 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 21.35/5.60 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 21.35/5.60 | (329) ~ (all_0_9_9 = e0)
% 21.35/5.60 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 21.35/5.60 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 21.35/5.60 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 21.35/5.60 | (489) ~ (unit = e0)
% 21.35/5.60 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 21.35/5.60 | (491) ~ (all_0_5_5 = e0)
% 21.35/5.60 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 21.35/5.60 |
% 21.35/5.60 | Combining equations (482,391) yields a new equation:
% 21.35/5.60 | (494) e4 = e1
% 21.35/5.60 |
% 21.35/5.60 | Equations (494) can reduce 207 to:
% 21.35/5.60 | (243) $false
% 21.35/5.60 |
% 21.35/5.60 |-The branch is then unsatisfiable
% 21.35/5.60 |-Branch two:
% 21.35/5.60 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 21.35/5.60 |
% 21.35/5.60 | Applying alpha-rule on (496) yields:
% 21.35/5.60 | (308) ~ (all_0_1_1 = e2)
% 21.35/5.60 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 21.35/5.60 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 21.35/5.60 | (214) ~ (all_0_5_5 = e2)
% 21.35/5.60 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 21.35/5.60 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 21.35/5.60 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 21.35/5.60 | (213) ~ (all_0_3_3 = e2)
% 21.35/5.60 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 21.35/5.60 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 21.35/5.60 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 21.35/5.60 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 21.35/5.60 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 21.35/5.60 | (309) ~ (all_0_8_8 = e2)
% 21.35/5.60 | (220) ~ (all_0_19_19 = e2)
% 21.35/5.60 | (315) ~ (all_0_17_17 = e2)
% 21.35/5.60 | (216) ~ (all_0_7_7 = e2)
% 21.35/5.60 | (218) ~ (all_0_10_10 = e2)
% 21.35/5.60 | (227) ~ (all_0_13_13 = e2)
% 21.35/5.60 | (229) ~ (all_0_15_15 = e2)
% 21.35/5.60 | (313) ~ (all_0_11_11 = e2)
% 21.35/5.60 |
% 21.35/5.60 | Equations (391) can reduce 229 to:
% 21.35/5.60 | (194) ~ (e4 = e2)
% 21.35/5.60 |
% 21.35/5.60 | Equations (330) can reduce 315 to:
% 21.35/5.60 | (277) ~ (e2 = e0)
% 21.35/5.60 |
% 21.35/5.60 | Simplifying 277 yields:
% 21.35/5.60 | (39) ~ (e2 = e0)
% 21.35/5.60 |
% 21.35/5.60 +-Applying beta-rule and splitting (154), into two cases.
% 21.35/5.60 |-Branch one:
% 21.35/5.60 | (532) all_0_16_16 = e2
% 21.35/5.60 |
% 21.35/5.60 | From (532) and (101) follows:
% 21.35/5.60 | (534) op(e0, e4) = e2
% 21.35/5.60 |
% 21.35/5.60 +-Applying beta-rule and splitting (911), into two cases.
% 21.35/5.60 |-Branch one:
% 21.35/5.60 | (1012) all_0_17_17 = e1
% 21.35/5.60 |
% 21.35/5.60 | Combining equations (330,1012) yields a new equation:
% 21.35/5.60 | (561) e1 = e0
% 21.35/5.60 |
% 21.35/5.60 | Equations (561) can reduce 109 to:
% 21.35/5.60 | (243) $false
% 21.35/5.60 |
% 21.35/5.60 |-The branch is then unsatisfiable
% 21.35/5.60 |-Branch two:
% 21.35/5.60 | (1015) ~ (all_0_17_17 = e1)
% 21.35/5.60 | (1016) all_0_19_19 = e1 | all_0_20_20 = e1
% 21.35/5.60 |
% 21.35/5.60 +-Applying beta-rule and splitting (1016), into two cases.
% 21.35/5.60 |-Branch one:
% 21.35/5.60 | (1017) all_0_19_19 = e1
% 21.35/5.60 |
% 21.35/5.60 | Combining equations (404,1017) yields a new equation:
% 21.35/5.60 | (419) e3 = e1
% 21.35/5.60 |
% 21.35/5.60 | Simplifying 419 yields:
% 21.35/5.60 | (420) e3 = e1
% 21.35/5.60 |
% 21.35/5.60 | Equations (420) can reduce 111 to:
% 21.35/5.60 | (243) $false
% 21.35/5.60 |
% 21.35/5.60 |-The branch is then unsatisfiable
% 21.35/5.60 |-Branch two:
% 21.35/5.60 | (382) ~ (all_0_19_19 = e1)
% 21.35/5.60 | (523) all_0_20_20 = e1
% 21.35/5.60 |
% 21.35/5.60 | Equations (523) can reduce 349 to:
% 21.35/5.60 | (109) ~ (e1 = e0)
% 21.35/5.60 |
% 21.35/5.60 +-Applying beta-rule and splitting (509), into two cases.
% 21.35/5.60 |-Branch one:
% 21.35/5.60 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.60 |
% 21.35/5.60 | Equations (532) can reduce 542 to:
% 21.35/5.60 | (243) $false
% 21.35/5.60 |
% 21.35/5.60 |-The branch is then unsatisfiable
% 21.35/5.60 |-Branch two:
% 21.35/5.60 | (532) all_0_16_16 = e2
% 21.35/5.60 | (545) all_0_18_18 = e4 & ~ (unit = e2)
% 21.35/5.60 |
% 21.35/5.60 | Applying alpha-rule on (545) yields:
% 21.35/5.60 | (257) all_0_18_18 = e4
% 21.35/5.60 | (547) ~ (unit = e2)
% 21.35/5.60 |
% 21.35/5.60 +-Applying beta-rule and splitting (46), into two cases.
% 21.35/5.60 |-Branch one:
% 21.35/5.60 | (548) unit = e2
% 21.35/5.60 |
% 21.35/5.60 | Equations (548) can reduce 547 to:
% 21.35/5.60 | (243) $false
% 21.35/5.60 |
% 21.35/5.60 |-The branch is then unsatisfiable
% 21.35/5.60 |-Branch two:
% 21.35/5.60 | (547) ~ (unit = e2)
% 21.35/5.60 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 21.35/5.60 |
% 21.35/5.60 +-Applying beta-rule and splitting (551), into two cases.
% 21.35/5.60 |-Branch one:
% 21.35/5.60 | (552) unit = e4
% 21.35/5.60 |
% 21.35/5.60 | From (552) and (121) follows:
% 21.35/5.60 | (1035) op(e4, e3) = e3
% 21.35/5.60 |
% 21.35/5.60 | From (552) and (95) follows:
% 21.35/5.60 | (1036) op(e4, e4) = e4
% 21.35/5.60 |
% 21.35/5.60 | From (552) and (139) follows:
% 21.35/5.60 | (554) op(e2, e4) = e2
% 21.35/5.60 |
% 21.35/5.60 | From (552) and (175) follows:
% 21.35/5.60 | (555) op(e0, e4) = e0
% 21.35/5.60 |
% 21.35/5.60 | Instantiating formula (105) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields:
% 21.35/5.60 | (373) e4 = e3
% 21.35/5.60 |
% 21.35/5.60 | Instantiating formula (105) with e4, e3, e3, e1 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e1, yields:
% 21.35/5.60 | (420) e3 = e1
% 21.35/5.60 |
% 21.35/5.60 | Instantiating formula (105) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields:
% 21.35/5.60 | (254) e4 = e2
% 21.35/5.60 |
% 21.35/5.60 | Instantiating formula (105) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 21.35/5.60 | (327) e2 = e0
% 21.35/5.60 |
% 21.35/5.60 | Combining equations (373,254) yields a new equation:
% 21.35/5.60 | (400) e3 = e2
% 21.35/5.60 |
% 21.35/5.60 | Simplifying 400 yields:
% 21.35/5.60 | (287) e3 = e2
% 21.35/5.60 |
% 21.35/5.60 | Combining equations (287,420) yields a new equation:
% 21.35/5.60 | (559) e2 = e1
% 21.35/5.60 |
% 21.35/5.60 | Simplifying 559 yields:
% 21.35/5.60 | (560) e2 = e1
% 21.35/5.60 |
% 21.35/5.60 | Combining equations (560,327) yields a new equation:
% 21.35/5.60 | (587) e1 = e0
% 21.35/5.60 |
% 21.35/5.60 | Simplifying 587 yields:
% 21.35/5.60 | (561) e1 = e0
% 21.35/5.60 |
% 21.35/5.60 | Equations (561) can reduce 109 to:
% 21.35/5.60 | (243) $false
% 21.35/5.60 |
% 21.35/5.60 |-The branch is then unsatisfiable
% 21.35/5.60 |-Branch two:
% 21.35/5.60 | (438) ~ (unit = e4)
% 21.35/5.60 | (564) unit = e3 | unit = e1 | unit = e0
% 21.35/5.60 |
% 21.35/5.60 +-Applying beta-rule and splitting (564), into two cases.
% 21.35/5.60 |-Branch one:
% 21.35/5.60 | (565) unit = e1
% 21.35/5.60 |
% 21.35/5.60 | From (565) and (102) follows:
% 21.35/5.60 | (1053) op(e3, e1) = e3
% 21.35/5.60 |
% 21.35/5.60 | From (565) and (139) follows:
% 21.35/5.60 | (1054) op(e2, e1) = e2
% 21.35/5.60 |
% 21.35/5.60 | From (565) and (175) follows:
% 21.35/5.60 | (1055) op(e0, e1) = e0
% 21.35/5.60 |
% 21.35/5.60 | Instantiating formula (105) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 21.35/5.60 | (287) e3 = e2
% 21.35/5.60 |
% 21.35/5.60 | Instantiating formula (105) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 21.35/5.60 | (560) e2 = e1
% 21.35/5.61 |
% 21.35/5.61 | Instantiating formula (105) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 21.35/5.61 | (282) e3 = e0
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (282,287) yields a new equation:
% 21.35/5.61 | (327) e2 = e0
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (327,560) yields a new equation:
% 21.35/5.61 | (561) e1 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (561) can reduce 109 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (463) ~ (unit = e1)
% 21.35/5.61 | (576) unit = e3 | unit = e0
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (576), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (577) unit = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (577) can reduce 463 to:
% 21.35/5.61 | (578) ~ (e1 = e0)
% 21.35/5.61 |
% 21.35/5.61 | Simplifying 578 yields:
% 21.35/5.61 | (109) ~ (e1 = e0)
% 21.35/5.61 |
% 21.35/5.61 | From (577) and (184) follows:
% 21.35/5.61 | (580) op(e0, e2) = e2
% 21.35/5.61 |
% 21.35/5.61 | From (577) and (139) follows:
% 21.35/5.61 | (581) op(e2, e0) = e2
% 21.35/5.61 |
% 21.35/5.61 | From (577) and (172) follows:
% 21.35/5.61 | (582) op(e1, e0) = e1
% 21.35/5.61 |
% 21.35/5.61 | Instantiating formula (105) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 21.35/5.61 | (327) e2 = e0
% 21.35/5.61 |
% 21.35/5.61 | Instantiating formula (105) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields:
% 21.35/5.61 | (494) e4 = e1
% 21.35/5.61 |
% 21.35/5.61 | Instantiating formula (105) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields:
% 21.35/5.61 | (254) e4 = e2
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (494,254) yields a new equation:
% 21.35/5.61 | (560) e2 = e1
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (560,327) yields a new equation:
% 21.35/5.61 | (587) e1 = e0
% 21.35/5.61 |
% 21.35/5.61 | Simplifying 587 yields:
% 21.35/5.61 | (561) e1 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (561) can reduce 109 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (489) ~ (unit = e0)
% 21.35/5.61 | (591) unit = e3
% 21.35/5.61 |
% 21.35/5.61 | From (591) and (169) follows:
% 21.35/5.61 | (1079) op(e3, e4) = e4
% 21.35/5.61 |
% 21.35/5.61 | From (591) and (102) follows:
% 21.35/5.61 | (1080) op(e3, e3) = e3
% 21.35/5.61 |
% 21.35/5.61 | From (591) and (172) follows:
% 21.35/5.61 | (432) op(e1, e3) = e1
% 21.35/5.61 |
% 21.35/5.61 | Instantiating formula (105) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields:
% 21.35/5.61 | (248) e4 = e0
% 21.35/5.61 |
% 21.35/5.61 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 21.35/5.61 | (373) e4 = e3
% 21.35/5.61 |
% 21.35/5.61 | Instantiating formula (105) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 21.35/5.61 | (420) e3 = e1
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (373,248) yields a new equation:
% 21.35/5.61 | (281) e3 = e0
% 21.35/5.61 |
% 21.35/5.61 | Simplifying 281 yields:
% 21.35/5.61 | (282) e3 = e0
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (282,420) yields a new equation:
% 21.35/5.61 | (561) e1 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (561) can reduce 109 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.61 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (120), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (532) all_0_16_16 = e2
% 21.35/5.61 |
% 21.35/5.61 | Equations (532) can reduce 542 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.61 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (96), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (784) all_0_20_20 = e2
% 21.35/5.61 |
% 21.35/5.61 | Equations (784) can reduce 522 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.61 | (787) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (911), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (1012) all_0_17_17 = e1
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (1012,330) yields a new equation:
% 21.35/5.61 | (587) e1 = e0
% 21.35/5.61 |
% 21.35/5.61 | Simplifying 587 yields:
% 21.35/5.61 | (561) e1 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (561) can reduce 109 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (1015) ~ (all_0_17_17 = e1)
% 21.35/5.61 | (1016) all_0_19_19 = e1 | all_0_20_20 = e1
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (702), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (722) all_0_5_5 = e2
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (267,722) yields a new equation:
% 21.35/5.61 | (327) e2 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (327) can reduce 39 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (214) ~ (all_0_5_5 = e2)
% 21.35/5.61 | (726) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (1016), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (1017) all_0_19_19 = e1
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (1017,404) yields a new equation:
% 21.35/5.61 | (420) e3 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (420) can reduce 111 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (382) ~ (all_0_19_19 = e1)
% 21.35/5.61 | (523) all_0_20_20 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (523) can reduce 522 to:
% 21.35/5.61 | (530) ~ (e2 = e1)
% 21.35/5.61 |
% 21.35/5.61 | Simplifying 530 yields:
% 21.35/5.61 | (114) ~ (e2 = e1)
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (726), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (727) all_0_8_8 = e2
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (727,353) yields a new equation:
% 21.35/5.61 | (254) e4 = e2
% 21.35/5.61 |
% 21.35/5.61 | Equations (254) can reduce 194 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (309) ~ (all_0_8_8 = e2)
% 21.35/5.61 | (731) all_0_12_12 = e2 | all_0_16_16 = e2
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (731), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (732) all_0_12_12 = e2
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (418,732) yields a new equation:
% 21.35/5.61 | (560) e2 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (560) can reduce 114 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (226) ~ (all_0_12_12 = e2)
% 21.35/5.61 | (532) all_0_16_16 = e2
% 21.35/5.61 |
% 21.35/5.61 | Equations (532) can reduce 542 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (625) ~ (all_0_4_4 = e2)
% 21.35/5.61 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (911), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (1012) all_0_17_17 = e1
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (330,1012) yields a new equation:
% 21.35/5.61 | (561) e1 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (561) can reduce 109 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (1015) ~ (all_0_17_17 = e1)
% 21.35/5.61 | (1016) all_0_19_19 = e1 | all_0_20_20 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (330) can reduce 1015 to:
% 21.35/5.61 | (578) ~ (e1 = e0)
% 21.35/5.61 |
% 21.35/5.61 | Simplifying 578 yields:
% 21.35/5.61 | (109) ~ (e1 = e0)
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (145), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (634) all_0_4_4 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (634) can reduce 464 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.61 | (1140) all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (626), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (630) all_0_4_4 = e4
% 21.35/5.61 |
% 21.35/5.61 | Equations (630) can reduce 392 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (392) ~ (all_0_4_4 = e4)
% 21.35/5.61 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (1140), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (1145) all_0_11_11 = e1
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (343,1145) yields a new equation:
% 21.35/5.61 | (561) e1 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (561) can reduce 109 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (462) ~ (all_0_11_11 = e1)
% 21.35/5.61 | (1149) all_0_15_15 = e1 | all_0_20_20 = e1
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (1149), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (482) all_0_15_15 = e1
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (391,482) yields a new equation:
% 21.35/5.61 | (493) e4 = e1
% 21.35/5.61 |
% 21.35/5.61 | Simplifying 493 yields:
% 21.35/5.61 | (494) e4 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (494) can reduce 207 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (1154) ~ (all_0_15_15 = e1)
% 21.35/5.61 | (523) all_0_20_20 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (523) can reduce 26 to:
% 21.35/5.61 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (633), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (634) all_0_4_4 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (634) can reduce 464 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.61 | (637) all_0_4_4 = e3 | all_0_4_4 = e0
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (637), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (638) all_0_4_4 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (638) can reduce 344 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (344) ~ (all_0_4_4 = e0)
% 21.35/5.61 | (641) all_0_4_4 = e3
% 21.35/5.61 |
% 21.35/5.61 | Equations (641) can reduce 291 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (608) ~ (all_0_1_1 = e1)
% 21.35/5.61 | (861) all_0_1_1 = e3 | all_0_1_1 = e0
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (861), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (322) all_0_1_1 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (322) can reduce 237 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (237) ~ (all_0_1_1 = e0)
% 21.35/5.61 | (424) all_0_1_1 = e3
% 21.35/5.61 |
% 21.35/5.61 | Equations (424) can reduce 842 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.61 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (899), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (418) all_0_12_12 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (418) can reduce 422 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.61 | (413) all_0_12_12 = e3
% 21.35/5.61 |
% 21.35/5.61 | Equations (413) can reduce 472 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (416) ~ (all_0_13_13 = e3)
% 21.35/5.61 | (1181) all_0_17_17 = e3
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (1181,330) yields a new equation:
% 21.35/5.61 | (281) e3 = e0
% 21.35/5.61 |
% 21.35/5.61 | Simplifying 281 yields:
% 21.35/5.61 | (282) e3 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (282) can reduce 54 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (414) ~ (all_0_0_0 = e3)
% 21.35/5.61 | (1186) all_0_5_5 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (871), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (868) all_0_13_13 = e3
% 21.35/5.61 |
% 21.35/5.61 | Equations (868) can reduce 88 to:
% 21.35/5.61 | (472) ~ (all_0_12_12 = e3)
% 21.35/5.61 |
% 21.35/5.61 | Equations (868) can reduce 21 to:
% 21.35/5.61 | (54) ~ (e3 = e0)
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (91), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (418) all_0_12_12 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (418) can reduce 472 to:
% 21.35/5.61 | (528) ~ (e3 = e1)
% 21.35/5.61 |
% 21.35/5.61 | Simplifying 528 yields:
% 21.35/5.61 | (111) ~ (e3 = e1)
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (1186), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (280) all_0_5_5 = e3
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (267,280) yields a new equation:
% 21.35/5.61 | (282) e3 = e0
% 21.35/5.61 |
% 21.35/5.61 | Equations (282) can reduce 54 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (284) ~ (all_0_5_5 = e3)
% 21.35/5.61 | (1197) all_0_12_12 = e3 | all_0_16_16 = e3
% 21.35/5.61 |
% 21.35/5.61 +-Applying beta-rule and splitting (1197), into two cases.
% 21.35/5.61 |-Branch one:
% 21.35/5.61 | (413) all_0_12_12 = e3
% 21.35/5.61 |
% 21.35/5.61 | Combining equations (418,413) yields a new equation:
% 21.35/5.61 | (420) e3 = e1
% 21.35/5.61 |
% 21.35/5.61 | Equations (420) can reduce 111 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (472) ~ (all_0_12_12 = e3)
% 21.35/5.61 | (1202) all_0_16_16 = e3
% 21.35/5.61 |
% 21.35/5.61 | Equations (1202) can reduce 405 to:
% 21.35/5.61 | (243) $false
% 21.35/5.61 |
% 21.35/5.61 |-The branch is then unsatisfiable
% 21.35/5.61 |-Branch two:
% 21.35/5.61 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.61 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 21.35/5.61 |
% 21.35/5.62 +-Applying beta-rule and splitting (875), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (360) all_0_12_12 = e4
% 21.35/5.62 |
% 21.35/5.62 | Equations (360) can reduce 357 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (357) ~ (all_0_12_12 = e4)
% 21.35/5.62 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (899), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (418) all_0_12_12 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (418) can reduce 422 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.62 | (413) all_0_12_12 = e3
% 21.35/5.62 |
% 21.35/5.62 | Equations (413) can reduce 472 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (416) ~ (all_0_13_13 = e3)
% 21.35/5.62 | (1216) all_0_15_15 = e3
% 21.35/5.62 |
% 21.35/5.62 | Combining equations (391,1216) yields a new equation:
% 21.35/5.62 | (1217) e4 = e3
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 1217 yields:
% 21.35/5.62 | (373) e4 = e3
% 21.35/5.62 |
% 21.35/5.62 | Equations (373) can reduce 23 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (1220) ~ (all_0_3_3 = e4)
% 21.35/5.62 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (1221), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (377) all_0_10_10 = e4
% 21.35/5.62 |
% 21.35/5.62 | Equations (377) can reduce 355 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (355) ~ (all_0_10_10 = e4)
% 21.35/5.62 | (1225) all_0_19_19 = e4
% 21.35/5.62 |
% 21.35/5.62 | Equations (1225) can reduce 261 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (1227) ~ (all_0_8_8 = e4)
% 21.35/5.62 | (1228) all_0_10_10 = e4 | all_0_11_11 = e4
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (198), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (727) all_0_8_8 = e2
% 21.35/5.62 |
% 21.35/5.62 | Equations (727) can reduce 309 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (309) ~ (all_0_8_8 = e2)
% 21.35/5.62 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (1228), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (377) all_0_10_10 = e4
% 21.35/5.62 |
% 21.35/5.62 | Equations (377) can reduce 87 to:
% 21.35/5.62 | (1220) ~ (all_0_3_3 = e4)
% 21.35/5.62 |
% 21.35/5.62 | Equations (377) can reduce 38 to:
% 21.35/5.62 | (1227) ~ (all_0_8_8 = e4)
% 21.35/5.62 |
% 21.35/5.62 | Equations (377) can reduce 206 to:
% 21.35/5.62 | (260) ~ (all_0_19_19 = e4)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 260 yields:
% 21.35/5.62 | (261) ~ (all_0_19_19 = e4)
% 21.35/5.62 |
% 21.35/5.62 | Equations (377) can reduce 218 to:
% 21.35/5.62 | (194) ~ (e4 = e2)
% 21.35/5.62 |
% 21.35/5.62 | From (377) and (128) follows:
% 21.35/5.62 | (1239) op(e2, e1) = e4
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (164), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (611) all_0_8_8 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (611) can reduce 174 to:
% 21.35/5.62 | (1241) ~ (all_0_12_12 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 1241 yields:
% 21.35/5.62 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Equations (611) can reduce 1227 to:
% 21.35/5.62 | (383) ~ (e4 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 383 yields:
% 21.35/5.62 | (207) ~ (e4 = e1)
% 21.35/5.62 |
% 21.35/5.62 | From (611) and (27) follows:
% 21.35/5.62 | (1245) op(e2, e4) = e1
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (91), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (418) all_0_12_12 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (418) can reduce 422 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.62 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (104), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (695) all_0_3_3 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (695) can reduce 47 to:
% 21.35/5.62 | (608) ~ (all_0_1_1 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Equations (695) can reduce 86 to:
% 21.35/5.62 | (628) ~ (all_0_4_4 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 628 yields:
% 21.35/5.62 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Equations (695) can reduce 135 to:
% 21.35/5.62 | (381) ~ (all_0_19_19 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 381 yields:
% 21.35/5.62 | (382) ~ (all_0_19_19 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Equations (695) can reduce 1220 to:
% 21.35/5.62 | (383) ~ (e4 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 383 yields:
% 21.35/5.62 | (207) ~ (e4 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Equations (695) can reduce 213 to:
% 21.35/5.62 | (530) ~ (e2 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 530 yields:
% 21.35/5.62 | (114) ~ (e2 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Equations (695) can reduce 193 to:
% 21.35/5.62 | (109) ~ (e1 = e0)
% 21.35/5.62 |
% 21.35/5.62 | From (695) and (185) follows:
% 21.35/5.62 | (553) op(e4, e1) = e1
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (65), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (1262) all_0_19_19 = e2
% 21.35/5.62 |
% 21.35/5.62 | Equations (1262) can reduce 220 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (220) ~ (all_0_19_19 = e2)
% 21.35/5.62 | (1265) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (1265), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (1225) all_0_19_19 = e4
% 21.35/5.62 |
% 21.35/5.62 | Equations (1225) can reduce 261 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (261) ~ (all_0_19_19 = e4)
% 21.35/5.62 | (1269) all_0_19_19 = e3 | all_0_19_19 = e1
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (142), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (741) all_0_1_1 = e2
% 21.35/5.62 |
% 21.35/5.62 | Equations (741) can reduce 308 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (308) ~ (all_0_1_1 = e2)
% 21.35/5.62 | (847) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (9), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (605) all_0_1_1 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (605) can reduce 608 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (608) ~ (all_0_1_1 = e1)
% 21.35/5.62 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (847), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (605) all_0_1_1 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (605) can reduce 608 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (608) ~ (all_0_1_1 = e1)
% 21.35/5.62 | (861) all_0_1_1 = e3 | all_0_1_1 = e0
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (1269), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (1017) all_0_19_19 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (1017) can reduce 382 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (382) ~ (all_0_19_19 = e1)
% 21.35/5.62 | (404) all_0_19_19 = e3
% 21.35/5.62 |
% 21.35/5.62 | Equations (404) can reduce 79 to:
% 21.35/5.62 | (405) ~ (all_0_16_16 = e3)
% 21.35/5.62 |
% 21.35/5.62 | Equations (404) can reduce 158 to:
% 21.35/5.62 | (296) ~ (all_0_20_20 = e3)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 296 yields:
% 21.35/5.62 | (297) ~ (all_0_20_20 = e3)
% 21.35/5.62 |
% 21.35/5.62 | From (404) and (168) follows:
% 21.35/5.62 | (412) op(e0, e1) = e3
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (1277), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (1290) all_0_9_9 = e1
% 21.35/5.62 |
% 21.35/5.62 | Combining equations (307,1290) yields a new equation:
% 21.35/5.62 | (559) e2 = e1
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 559 yields:
% 21.35/5.62 | (560) e2 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (560) can reduce 114 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (460) ~ (all_0_9_9 = e1)
% 21.35/5.62 | (1295) all_0_13_13 = e1 | all_0_17_17 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (307) can reduce 460 to:
% 21.35/5.62 | (114) ~ (e2 = e1)
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (154), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (532) all_0_16_16 = e2
% 21.35/5.62 |
% 21.35/5.62 | Equations (532) can reduce 81 to:
% 21.35/5.62 | (782) ~ (all_0_20_20 = e2)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 782 yields:
% 21.35/5.62 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.62 |
% 21.35/5.62 | Equations (532) can reduce 258 to:
% 21.35/5.62 | (221) ~ (e4 = e2)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 221 yields:
% 21.35/5.62 | (194) ~ (e4 = e2)
% 21.35/5.62 |
% 21.35/5.62 | Equations (532) can reduce 405 to:
% 21.35/5.62 | (232) ~ (e3 = e2)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 232 yields:
% 21.35/5.62 | (183) ~ (e3 = e2)
% 21.35/5.62 |
% 21.35/5.62 | Equations (532) can reduce 276 to:
% 21.35/5.62 | (39) ~ (e2 = e0)
% 21.35/5.62 |
% 21.35/5.62 | From (532) and (101) follows:
% 21.35/5.62 | (534) op(e0, e4) = e2
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (138), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (535) all_0_4_4 = e2
% 21.35/5.62 |
% 21.35/5.62 | Equations (535) can reduce 26 to:
% 21.35/5.62 | (782) ~ (all_0_20_20 = e2)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 782 yields:
% 21.35/5.62 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (861), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (322) all_0_1_1 = e0
% 21.35/5.62 |
% 21.35/5.62 | Equations (322) can reduce 237 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (237) ~ (all_0_1_1 = e0)
% 21.35/5.62 | (424) all_0_1_1 = e3
% 21.35/5.62 |
% 21.35/5.62 | Equations (424) can reduce 70 to:
% 21.35/5.62 | (415) ~ (all_0_13_13 = e3)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 415 yields:
% 21.35/5.62 | (416) ~ (all_0_13_13 = e3)
% 21.35/5.62 |
% 21.35/5.62 | Equations (424) can reduce 159 to:
% 21.35/5.62 | (408) ~ (e4 = e3)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 408 yields:
% 21.35/5.62 | (23) ~ (e4 = e3)
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (96), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (784) all_0_20_20 = e2
% 21.35/5.62 |
% 21.35/5.62 | Equations (784) can reduce 522 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.62 | (787) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (129), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (413) all_0_12_12 = e3
% 21.35/5.62 |
% 21.35/5.62 | Equations (413) can reduce 88 to:
% 21.35/5.62 | (415) ~ (all_0_13_13 = e3)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 415 yields:
% 21.35/5.62 | (416) ~ (all_0_13_13 = e3)
% 21.35/5.62 |
% 21.35/5.62 | Equations (413) can reduce 210 to:
% 21.35/5.62 | (54) ~ (e3 = e0)
% 21.35/5.62 |
% 21.35/5.62 | From (413) and (103) follows:
% 21.35/5.62 | (417) op(e1, e4) = e3
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (150), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (360) all_0_12_12 = e4
% 21.35/5.62 |
% 21.35/5.62 | Combining equations (413,360) yields a new equation:
% 21.35/5.62 | (373) e4 = e3
% 21.35/5.62 |
% 21.35/5.62 | Equations (373) can reduce 23 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (357) ~ (all_0_12_12 = e4)
% 21.35/5.62 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (787), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (792) all_0_20_20 = e4
% 21.35/5.62 |
% 21.35/5.62 | Equations (792) can reduce 263 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (263) ~ (all_0_20_20 = e4)
% 21.35/5.62 | (795) all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (795), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (523) all_0_20_20 = e1
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (363), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (252) all_0_14_14 = e4
% 21.35/5.62 |
% 21.35/5.62 | Combining equations (224,252) yields a new equation:
% 21.35/5.62 | (254) e4 = e2
% 21.35/5.62 |
% 21.35/5.62 | Equations (254) can reduce 194 to:
% 21.35/5.62 | (243) $false
% 21.35/5.62 |
% 21.35/5.62 |-The branch is then unsatisfiable
% 21.35/5.62 |-Branch two:
% 21.35/5.62 | (256) ~ (all_0_14_14 = e4)
% 21.35/5.62 | (391) all_0_15_15 = e4
% 21.35/5.62 |
% 21.35/5.62 | Equations (391) can reduce 179 to:
% 21.35/5.62 | (97) ~ (all_0_13_13 = e4)
% 21.35/5.62 |
% 21.35/5.62 | From (391) and (199) follows:
% 21.35/5.62 | (398) op(e1, e0) = e4
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (302), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (429) all_0_13_13 = e1
% 21.35/5.62 |
% 21.35/5.62 | Equations (429) can reduce 97 to:
% 21.35/5.62 | (383) ~ (e4 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Simplifying 383 yields:
% 21.35/5.62 | (207) ~ (e4 = e1)
% 21.35/5.62 |
% 21.35/5.62 | Equations (429) can reduce 21 to:
% 21.35/5.62 | (109) ~ (e1 = e0)
% 21.35/5.62 |
% 21.35/5.62 +-Applying beta-rule and splitting (72), into two cases.
% 21.35/5.62 |-Branch one:
% 21.35/5.62 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 21.35/5.63 |
% 21.35/5.63 +-Applying beta-rule and splitting (433), into two cases.
% 21.35/5.63 |-Branch one:
% 21.35/5.63 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.35/5.63 |
% 21.35/5.63 +-Applying beta-rule and splitting (434), into two cases.
% 21.35/5.63 |-Branch one:
% 21.35/5.63 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 21.35/5.63 |
% 21.35/5.63 +-Applying beta-rule and splitting (435), into two cases.
% 21.35/5.63 |-Branch one:
% 21.35/5.63 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 21.35/5.63 |
% 21.35/5.63 | Applying alpha-rule on (436) yields:
% 21.35/5.63 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 21.35/5.63 | (438) ~ (unit = e4)
% 21.35/5.63 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 21.35/5.63 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 21.35/5.63 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 21.35/5.63 | (442) ~ (all_0_15_15 = e4)
% 21.35/5.63 | (280) all_0_5_5 = e3
% 21.35/5.63 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 21.35/5.63 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 21.35/5.63 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 21.35/5.63 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 21.35/5.63 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 21.35/5.63 |
% 21.35/5.63 | Combining equations (267,280) yields a new equation:
% 21.35/5.63 | (282) e3 = e0
% 21.35/5.63 |
% 21.35/5.63 | Equations (282) can reduce 54 to:
% 21.35/5.63 | (243) $false
% 21.35/5.63 |
% 21.35/5.63 |-The branch is then unsatisfiable
% 21.35/5.63 |-Branch two:
% 21.35/5.63 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 21.35/5.63 |
% 21.35/5.63 | Applying alpha-rule on (452) yields:
% 21.35/5.63 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 21.35/5.63 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 21.35/5.63 | (422) ~ (all_0_12_12 = e1)
% 21.35/5.63 | (212) all_0_6_6 = e2
% 21.35/5.63 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 21.35/5.63 | (458) ~ (all_0_13_13 = e1)
% 21.35/5.63 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 21.35/5.63 | (460) ~ (all_0_9_9 = e1)
% 21.35/5.63 | (461) ~ (all_0_20_20 = e1)
% 21.35/5.63 | (462) ~ (all_0_11_11 = e1)
% 21.35/5.63 | (463) ~ (unit = e1)
% 21.35/5.63 | (464) ~ (all_0_4_4 = e1)
% 21.35/5.63 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 21.35/5.63 |
% 21.35/5.63 | Equations (523) can reduce 461 to:
% 21.35/5.63 | (243) $false
% 21.35/5.63 |
% 21.35/5.63 |-The branch is then unsatisfiable
% 21.35/5.63 |-Branch two:
% 21.35/5.63 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 21.35/5.63 |
% 21.35/5.63 | Applying alpha-rule on (467) yields:
% 21.35/5.63 | (468) ~ (all_0_7_7 = e3)
% 21.35/5.63 | (405) ~ (all_0_16_16 = e3)
% 21.35/5.63 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 21.35/5.63 | (295) ~ (all_0_15_15 = e3)
% 21.35/5.63 | (472) ~ (all_0_12_12 = e3)
% 21.35/5.63 | (289) ~ (all_0_6_6 = e3)
% 21.35/5.63 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 21.35/5.63 | (475) ~ (unit = e3)
% 21.35/5.63 | (307) all_0_9_9 = e2
% 21.35/5.63 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 21.35/5.63 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 21.35/5.63 | (414) ~ (all_0_0_0 = e3)
% 21.35/5.63 |
% 21.35/5.63 | Equations (413) can reduce 472 to:
% 21.35/5.63 | (243) $false
% 21.35/5.63 |
% 21.35/5.63 |-The branch is then unsatisfiable
% 21.35/5.63 |-Branch two:
% 21.35/5.63 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 21.35/5.63 |
% 21.35/5.63 | Applying alpha-rule on (481) yields:
% 21.35/5.63 | (482) all_0_15_15 = e1
% 21.35/5.63 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 21.35/5.63 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 21.35/5.63 | (329) ~ (all_0_9_9 = e0)
% 21.35/5.63 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 21.35/5.63 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 21.35/5.63 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 21.35/5.63 | (489) ~ (unit = e0)
% 21.35/5.63 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 21.35/5.63 | (491) ~ (all_0_5_5 = e0)
% 21.35/5.63 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 21.35/5.63 |
% 21.35/5.63 | Combining equations (482,391) yields a new equation:
% 21.35/5.63 | (494) e4 = e1
% 21.35/5.63 |
% 21.35/5.63 | Equations (494) can reduce 207 to:
% 21.35/5.63 | (243) $false
% 21.35/5.63 |
% 21.35/5.63 |-The branch is then unsatisfiable
% 21.35/5.63 |-Branch two:
% 21.35/5.63 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 21.35/5.63 |
% 21.35/5.63 | Applying alpha-rule on (496) yields:
% 21.35/5.63 | (308) ~ (all_0_1_1 = e2)
% 21.35/5.63 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 21.35/5.63 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 21.35/5.63 | (214) ~ (all_0_5_5 = e2)
% 21.35/5.63 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 21.35/5.63 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 21.35/5.63 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 21.35/5.63 | (213) ~ (all_0_3_3 = e2)
% 21.35/5.63 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 21.35/5.63 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 21.35/5.63 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 21.35/5.63 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 21.35/5.63 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 21.35/5.63 | (309) ~ (all_0_8_8 = e2)
% 21.35/5.63 | (220) ~ (all_0_19_19 = e2)
% 21.35/5.63 | (315) ~ (all_0_17_17 = e2)
% 21.35/5.63 | (216) ~ (all_0_7_7 = e2)
% 21.35/5.63 | (218) ~ (all_0_10_10 = e2)
% 21.35/5.63 | (227) ~ (all_0_13_13 = e2)
% 21.35/5.63 | (229) ~ (all_0_15_15 = e2)
% 21.35/5.63 | (313) ~ (all_0_11_11 = e2)
% 21.35/5.63 |
% 21.35/5.63 | Equations (429) can reduce 227 to:
% 21.35/5.63 | (530) ~ (e2 = e1)
% 21.35/5.63 |
% 21.35/5.63 | Simplifying 530 yields:
% 21.35/5.63 | (114) ~ (e2 = e1)
% 21.35/5.63 |
% 21.35/5.63 +-Applying beta-rule and splitting (509), into two cases.
% 21.35/5.63 |-Branch one:
% 21.35/5.63 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.63 |
% 21.35/5.63 | Equations (532) can reduce 542 to:
% 21.35/5.63 | (243) $false
% 21.35/5.63 |
% 21.35/5.63 |-The branch is then unsatisfiable
% 21.35/5.63 |-Branch two:
% 21.35/5.63 | (532) all_0_16_16 = e2
% 21.35/5.63 | (545) all_0_18_18 = e4 & ~ (unit = e2)
% 21.35/5.63 |
% 21.35/5.63 | Applying alpha-rule on (545) yields:
% 21.35/5.63 | (257) all_0_18_18 = e4
% 21.35/5.63 | (547) ~ (unit = e2)
% 21.35/5.63 |
% 21.35/5.63 +-Applying beta-rule and splitting (46), into two cases.
% 21.35/5.63 |-Branch one:
% 21.35/5.63 | (548) unit = e2
% 21.35/5.63 |
% 21.35/5.63 | Equations (548) can reduce 547 to:
% 21.35/5.63 | (243) $false
% 21.35/5.63 |
% 21.35/5.63 |-The branch is then unsatisfiable
% 21.35/5.63 |-Branch two:
% 21.35/5.63 | (547) ~ (unit = e2)
% 21.35/5.63 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 21.35/5.63 |
% 21.35/5.63 +-Applying beta-rule and splitting (551), into two cases.
% 21.35/5.63 |-Branch one:
% 21.35/5.63 | (552) unit = e4
% 21.35/5.63 |
% 21.35/5.63 | From (552) and (139) follows:
% 21.35/5.63 | (554) op(e2, e4) = e2
% 21.35/5.63 |
% 21.35/5.63 | From (552) and (175) follows:
% 21.35/5.63 | (555) op(e0, e4) = e0
% 21.35/5.63 |
% 21.35/5.63 | Instantiating formula (105) with e2, e4, e2, e1 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e1, yields:
% 21.35/5.63 | (560) e2 = e1
% 21.35/5.63 |
% 21.35/5.63 | Instantiating formula (105) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 21.35/5.63 | (327) e2 = e0
% 21.35/5.63 |
% 21.35/5.63 | Combining equations (327,560) yields a new equation:
% 21.35/5.63 | (561) e1 = e0
% 21.35/5.63 |
% 21.35/5.63 | Equations (561) can reduce 109 to:
% 21.35/5.63 | (243) $false
% 21.35/5.63 |
% 21.35/5.63 |-The branch is then unsatisfiable
% 21.35/5.63 |-Branch two:
% 21.35/5.63 | (438) ~ (unit = e4)
% 21.35/5.63 | (564) unit = e3 | unit = e1 | unit = e0
% 21.35/5.63 |
% 21.35/5.63 +-Applying beta-rule and splitting (564), into two cases.
% 21.35/5.63 |-Branch one:
% 21.35/5.63 | (565) unit = e1
% 21.35/5.63 |
% 21.35/5.63 | From (565) and (169) follows:
% 21.35/5.63 | (566) op(e1, e4) = e4
% 21.35/5.63 |
% 21.35/5.63 | From (565) and (95) follows:
% 21.35/5.63 | (371) op(e4, e1) = e4
% 21.35/5.63 |
% 21.35/5.63 | From (565) and (139) follows:
% 21.35/5.63 | (1054) op(e2, e1) = e2
% 21.35/5.63 |
% 21.35/5.63 | From (565) and (175) follows:
% 21.35/5.63 | (1055) op(e0, e1) = e0
% 21.35/5.63 |
% 21.35/5.63 | Instantiating formula (105) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields:
% 21.35/5.63 | (494) e4 = e1
% 21.35/5.63 |
% 21.35/5.63 | Instantiating formula (105) with e2, e1, e2, e4 and discharging atoms op(e2, e1) = e4, op(e2, e1) = e2, yields:
% 21.35/5.63 | (254) e4 = e2
% 21.35/5.63 |
% 21.35/5.63 | Instantiating formula (105) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields:
% 21.35/5.63 | (373) e4 = e3
% 21.35/5.63 |
% 21.35/5.63 | Instantiating formula (105) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 21.35/5.63 | (282) e3 = e0
% 21.35/5.63 |
% 21.35/5.63 | Combining equations (373,254) yields a new equation:
% 21.35/5.63 | (400) e3 = e2
% 21.35/5.63 |
% 21.35/5.63 | Simplifying 400 yields:
% 21.35/5.63 | (287) e3 = e2
% 21.35/5.63 |
% 21.35/5.63 | Combining equations (494,254) yields a new equation:
% 21.35/5.63 | (560) e2 = e1
% 21.35/5.63 |
% 21.35/5.63 | Combining equations (287,282) yields a new equation:
% 21.35/5.63 | (339) e2 = e0
% 21.35/5.63 |
% 21.35/5.63 | Simplifying 339 yields:
% 21.35/5.63 | (327) e2 = e0
% 21.35/5.63 |
% 21.35/5.63 | Combining equations (327,560) yields a new equation:
% 21.35/5.63 | (561) e1 = e0
% 21.35/5.63 |
% 21.35/5.63 | Equations (561) can reduce 109 to:
% 21.35/5.63 | (243) $false
% 21.35/5.63 |
% 21.35/5.63 |-The branch is then unsatisfiable
% 21.35/5.63 |-Branch two:
% 21.35/5.63 | (463) ~ (unit = e1)
% 21.35/5.63 | (576) unit = e3 | unit = e0
% 21.35/5.63 |
% 21.35/5.63 +-Applying beta-rule and splitting (576), into two cases.
% 21.35/5.63 |-Branch one:
% 21.35/5.63 | (577) unit = e0
% 21.35/5.63 |
% 21.35/5.63 | Equations (577) can reduce 463 to:
% 21.35/5.63 | (578) ~ (e1 = e0)
% 21.35/5.63 |
% 21.35/5.63 | Simplifying 578 yields:
% 21.35/5.63 | (109) ~ (e1 = e0)
% 21.35/5.63 |
% 21.35/5.63 | From (577) and (184) follows:
% 21.35/5.63 | (580) op(e0, e2) = e2
% 21.35/5.63 |
% 21.35/5.63 | From (577) and (139) follows:
% 21.35/5.63 | (581) op(e2, e0) = e2
% 21.35/5.63 |
% 21.35/5.63 | From (577) and (172) follows:
% 21.35/5.63 | (582) op(e1, e0) = e1
% 21.35/5.63 |
% 21.35/5.63 | Instantiating formula (105) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 21.35/5.63 | (327) e2 = e0
% 21.35/5.63 |
% 21.35/5.63 | Instantiating formula (105) with e1, e0, e1, e4 and discharging atoms op(e1, e0) = e4, op(e1, e0) = e1, yields:
% 21.35/5.63 | (494) e4 = e1
% 21.35/5.63 |
% 21.35/5.63 | Instantiating formula (105) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields:
% 21.35/5.64 | (254) e4 = e2
% 21.35/5.64 |
% 21.35/5.64 | Combining equations (494,254) yields a new equation:
% 21.35/5.64 | (560) e2 = e1
% 21.35/5.64 |
% 21.35/5.64 | Combining equations (560,327) yields a new equation:
% 21.35/5.64 | (587) e1 = e0
% 21.35/5.64 |
% 21.35/5.64 | Simplifying 587 yields:
% 21.35/5.64 | (561) e1 = e0
% 21.35/5.64 |
% 21.35/5.64 | Equations (561) can reduce 109 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (489) ~ (unit = e0)
% 21.35/5.64 | (591) unit = e3
% 21.35/5.64 |
% 21.35/5.64 | From (591) and (100) follows:
% 21.35/5.64 | (592) op(e3, e1) = e1
% 21.35/5.64 |
% 21.35/5.64 | Instantiating formula (105) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields:
% 21.35/5.64 | (560) e2 = e1
% 21.35/5.64 |
% 21.35/5.64 | Equations (560) can reduce 114 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (458) ~ (all_0_13_13 = e1)
% 21.35/5.64 | (868) all_0_13_13 = e3
% 21.35/5.64 |
% 21.35/5.64 | Equations (868) can reduce 416 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (461) ~ (all_0_20_20 = e1)
% 21.35/5.64 | (1491) all_0_20_20 = e3 | all_0_20_20 = e0
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (1491), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (1492) all_0_20_20 = e0
% 21.35/5.64 |
% 21.35/5.64 | Equations (1492) can reduce 349 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (349) ~ (all_0_20_20 = e0)
% 21.35/5.64 | (1495) all_0_20_20 = e3
% 21.35/5.64 |
% 21.35/5.64 | Equations (1495) can reduce 297 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (472) ~ (all_0_12_12 = e3)
% 21.35/5.64 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (871), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (868) all_0_13_13 = e3
% 21.35/5.64 |
% 21.35/5.64 | Equations (868) can reduce 416 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (416) ~ (all_0_13_13 = e3)
% 21.35/5.64 | (1216) all_0_15_15 = e3
% 21.35/5.64 |
% 21.35/5.64 | Equations (1216) can reduce 295 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (625) ~ (all_0_4_4 = e2)
% 21.35/5.64 | (740) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (96), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (784) all_0_20_20 = e2
% 21.35/5.64 |
% 21.35/5.64 | Equations (784) can reduce 522 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (522) ~ (all_0_20_20 = e2)
% 21.35/5.64 | (787) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (740), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (812) all_0_7_7 = e2
% 21.35/5.64 |
% 21.35/5.64 | Combining equations (812,290) yields a new equation:
% 21.35/5.64 | (287) e3 = e2
% 21.35/5.64 |
% 21.35/5.64 | Equations (287) can reduce 183 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (216) ~ (all_0_7_7 = e2)
% 21.35/5.64 | (817) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (817), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (818) all_0_11_11 = e2
% 21.35/5.64 |
% 21.35/5.64 | Combining equations (818,343) yields a new equation:
% 21.35/5.64 | (339) e2 = e0
% 21.35/5.64 |
% 21.35/5.64 | Simplifying 339 yields:
% 21.35/5.64 | (327) e2 = e0
% 21.35/5.64 |
% 21.35/5.64 | Equations (327) can reduce 39 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (313) ~ (all_0_11_11 = e2)
% 21.35/5.64 | (822) all_0_15_15 = e2 | all_0_20_20 = e2
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (822), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (823) all_0_15_15 = e2
% 21.35/5.64 |
% 21.35/5.64 | Equations (823) can reduce 229 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (229) ~ (all_0_15_15 = e2)
% 21.35/5.64 | (784) all_0_20_20 = e2
% 21.35/5.64 |
% 21.35/5.64 | Equations (784) can reduce 522 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.64 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (861), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (322) all_0_1_1 = e0
% 21.35/5.64 |
% 21.35/5.64 | Equations (322) can reduce 237 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (237) ~ (all_0_1_1 = e0)
% 21.35/5.64 | (424) all_0_1_1 = e3
% 21.35/5.64 |
% 21.35/5.64 | Equations (424) can reduce 70 to:
% 21.35/5.64 | (415) ~ (all_0_13_13 = e3)
% 21.35/5.64 |
% 21.35/5.64 | Simplifying 415 yields:
% 21.35/5.64 | (416) ~ (all_0_13_13 = e3)
% 21.35/5.64 |
% 21.35/5.64 | Equations (424) can reduce 159 to:
% 21.35/5.64 | (408) ~ (e4 = e3)
% 21.35/5.64 |
% 21.35/5.64 | Simplifying 408 yields:
% 21.35/5.64 | (23) ~ (e4 = e3)
% 21.35/5.64 |
% 21.35/5.64 | Equations (424) can reduce 308 to:
% 21.35/5.64 | (183) ~ (e3 = e2)
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (136), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (672) all_0_0_0 = e2
% 21.35/5.64 |
% 21.35/5.64 | Equations (672) can reduce 93 to:
% 21.35/5.64 | (1538) ~ (all_0_4_4 = e2)
% 21.35/5.64 |
% 21.35/5.64 | Simplifying 1538 yields:
% 21.35/5.64 | (625) ~ (all_0_4_4 = e2)
% 21.35/5.64 |
% 21.35/5.64 | Equations (672) can reduce 188 to:
% 21.35/5.64 | (1540) ~ (all_0_16_16 = e2)
% 21.35/5.64 |
% 21.35/5.64 | Simplifying 1540 yields:
% 21.35/5.64 | (542) ~ (all_0_16_16 = e2)
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (129), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (413) all_0_12_12 = e3
% 21.35/5.64 |
% 21.35/5.64 | Equations (413) can reduce 88 to:
% 21.35/5.64 | (415) ~ (all_0_13_13 = e3)
% 21.35/5.64 |
% 21.35/5.64 | Simplifying 415 yields:
% 21.35/5.64 | (416) ~ (all_0_13_13 = e3)
% 21.35/5.64 |
% 21.35/5.64 | Equations (413) can reduce 210 to:
% 21.35/5.64 | (54) ~ (e3 = e0)
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (150), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (360) all_0_12_12 = e4
% 21.35/5.64 |
% 21.35/5.64 | Combining equations (413,360) yields a new equation:
% 21.35/5.64 | (373) e4 = e3
% 21.35/5.64 |
% 21.35/5.64 | Equations (373) can reduce 23 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (357) ~ (all_0_12_12 = e4)
% 21.35/5.64 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (363), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (252) all_0_14_14 = e4
% 21.35/5.64 |
% 21.35/5.64 | Combining equations (224,252) yields a new equation:
% 21.35/5.64 | (254) e4 = e2
% 21.35/5.64 |
% 21.35/5.64 | Equations (254) can reduce 194 to:
% 21.35/5.64 | (243) $false
% 21.35/5.64 |
% 21.35/5.64 |-The branch is then unsatisfiable
% 21.35/5.64 |-Branch two:
% 21.35/5.64 | (256) ~ (all_0_14_14 = e4)
% 21.35/5.64 | (391) all_0_15_15 = e4
% 21.35/5.64 |
% 21.35/5.64 | Equations (391) can reduce 78 to:
% 21.35/5.64 | (392) ~ (all_0_4_4 = e4)
% 21.35/5.64 |
% 21.35/5.64 | Equations (391) can reduce 179 to:
% 21.35/5.64 | (97) ~ (all_0_13_13 = e4)
% 21.35/5.64 |
% 21.35/5.64 | Equations (391) can reduce 40 to:
% 21.35/5.64 | (262) ~ (all_0_20_20 = e4)
% 21.35/5.64 |
% 21.35/5.64 | Simplifying 262 yields:
% 21.35/5.64 | (263) ~ (all_0_20_20 = e4)
% 21.35/5.64 |
% 21.35/5.64 | Equations (391) can reduce 229 to:
% 21.35/5.64 | (194) ~ (e4 = e2)
% 21.35/5.64 |
% 21.35/5.64 | Equations (391) can reduce 151 to:
% 21.35/5.64 | (4) ~ (e4 = e0)
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (18), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (523) all_0_20_20 = e1
% 21.35/5.64 |
% 21.35/5.64 | Equations (523) can reduce 263 to:
% 21.35/5.64 | (383) ~ (e4 = e1)
% 21.35/5.64 |
% 21.35/5.64 | Simplifying 383 yields:
% 21.35/5.64 | (207) ~ (e4 = e1)
% 21.35/5.64 |
% 21.35/5.64 +-Applying beta-rule and splitting (72), into two cases.
% 21.35/5.64 |-Branch one:
% 21.35/5.64 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 21.81/5.64 |
% 21.81/5.64 +-Applying beta-rule and splitting (433), into two cases.
% 21.81/5.64 |-Branch one:
% 21.81/5.64 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.81/5.64 |
% 21.81/5.64 +-Applying beta-rule and splitting (434), into two cases.
% 21.81/5.64 |-Branch one:
% 21.81/5.64 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 21.81/5.64 |
% 21.81/5.64 +-Applying beta-rule and splitting (435), into two cases.
% 21.81/5.64 |-Branch one:
% 21.81/5.64 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 21.81/5.64 |
% 21.81/5.64 | Applying alpha-rule on (436) yields:
% 21.81/5.64 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 21.81/5.64 | (438) ~ (unit = e4)
% 21.81/5.64 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 21.81/5.64 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 21.81/5.64 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 21.81/5.64 | (442) ~ (all_0_15_15 = e4)
% 21.81/5.64 | (280) all_0_5_5 = e3
% 21.81/5.64 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 21.81/5.64 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 21.81/5.64 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 21.81/5.64 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 21.81/5.64 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 21.81/5.64 |
% 21.81/5.64 | Combining equations (267,280) yields a new equation:
% 21.81/5.64 | (282) e3 = e0
% 21.81/5.64 |
% 21.81/5.64 | Equations (282) can reduce 54 to:
% 21.81/5.64 | (243) $false
% 21.81/5.64 |
% 21.81/5.64 |-The branch is then unsatisfiable
% 21.81/5.64 |-Branch two:
% 21.81/5.64 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 21.81/5.64 |
% 21.81/5.64 | Applying alpha-rule on (452) yields:
% 21.81/5.64 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 21.81/5.64 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 21.81/5.64 | (422) ~ (all_0_12_12 = e1)
% 21.81/5.64 | (212) all_0_6_6 = e2
% 21.81/5.64 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 21.81/5.64 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.64 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 21.81/5.64 | (460) ~ (all_0_9_9 = e1)
% 21.81/5.64 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.64 | (462) ~ (all_0_11_11 = e1)
% 21.81/5.64 | (463) ~ (unit = e1)
% 21.81/5.64 | (464) ~ (all_0_4_4 = e1)
% 21.81/5.64 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 21.81/5.64 |
% 21.81/5.64 | Equations (523) can reduce 461 to:
% 21.81/5.64 | (243) $false
% 21.81/5.64 |
% 21.81/5.64 |-The branch is then unsatisfiable
% 21.81/5.64 |-Branch two:
% 21.81/5.64 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 21.81/5.64 |
% 21.81/5.64 | Applying alpha-rule on (467) yields:
% 21.81/5.64 | (468) ~ (all_0_7_7 = e3)
% 21.81/5.64 | (405) ~ (all_0_16_16 = e3)
% 21.81/5.64 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 21.81/5.64 | (295) ~ (all_0_15_15 = e3)
% 21.81/5.64 | (472) ~ (all_0_12_12 = e3)
% 21.81/5.64 | (289) ~ (all_0_6_6 = e3)
% 21.81/5.64 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 21.81/5.64 | (475) ~ (unit = e3)
% 21.81/5.64 | (307) all_0_9_9 = e2
% 21.81/5.64 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 21.81/5.64 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 21.81/5.64 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.64 |
% 21.81/5.64 | Equations (413) can reduce 472 to:
% 21.81/5.64 | (243) $false
% 21.81/5.64 |
% 21.81/5.64 |-The branch is then unsatisfiable
% 21.81/5.64 |-Branch two:
% 21.81/5.64 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 21.81/5.64 |
% 21.81/5.65 | Applying alpha-rule on (481) yields:
% 21.81/5.65 | (482) all_0_15_15 = e1
% 21.81/5.65 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 21.81/5.65 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 21.81/5.65 | (329) ~ (all_0_9_9 = e0)
% 21.81/5.65 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 21.81/5.65 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 21.81/5.65 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 21.81/5.65 | (489) ~ (unit = e0)
% 21.81/5.65 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 21.81/5.65 | (491) ~ (all_0_5_5 = e0)
% 21.81/5.65 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 21.81/5.65 |
% 21.81/5.65 | Combining equations (391,482) yields a new equation:
% 21.81/5.65 | (493) e4 = e1
% 21.81/5.65 |
% 21.81/5.65 | Simplifying 493 yields:
% 21.81/5.65 | (494) e4 = e1
% 21.81/5.65 |
% 21.81/5.65 | Equations (494) can reduce 207 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 21.81/5.65 |
% 21.81/5.65 | Applying alpha-rule on (496) yields:
% 21.81/5.65 | (308) ~ (all_0_1_1 = e2)
% 21.81/5.65 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 21.81/5.65 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 21.81/5.65 | (214) ~ (all_0_5_5 = e2)
% 21.81/5.65 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 21.81/5.65 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 21.81/5.65 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 21.81/5.65 | (213) ~ (all_0_3_3 = e2)
% 21.81/5.65 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 21.81/5.65 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 21.81/5.65 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 21.81/5.65 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 21.81/5.65 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 21.81/5.65 | (309) ~ (all_0_8_8 = e2)
% 21.81/5.65 | (220) ~ (all_0_19_19 = e2)
% 21.81/5.65 | (315) ~ (all_0_17_17 = e2)
% 21.81/5.65 | (216) ~ (all_0_7_7 = e2)
% 21.81/5.65 | (218) ~ (all_0_10_10 = e2)
% 21.81/5.65 | (227) ~ (all_0_13_13 = e2)
% 21.81/5.65 | (229) ~ (all_0_15_15 = e2)
% 21.81/5.65 | (313) ~ (all_0_11_11 = e2)
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (502), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (536) ~ (all_0_0_0 = e2)
% 21.81/5.65 |
% 21.81/5.65 | Equations (672) can reduce 536 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (672) all_0_0_0 = e2
% 21.81/5.65 | (1652) all_0_2_2 = e4 & ~ (unit = e2)
% 21.81/5.65 |
% 21.81/5.65 | Applying alpha-rule on (1652) yields:
% 21.81/5.65 | (246) all_0_2_2 = e4
% 21.81/5.65 | (547) ~ (unit = e2)
% 21.81/5.65 |
% 21.81/5.65 | Combining equations (236,246) yields a new equation:
% 21.81/5.65 | (248) e4 = e0
% 21.81/5.65 |
% 21.81/5.65 | Equations (248) can reduce 4 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.65 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (48), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (1659) all_0_0_0 = e4
% 21.81/5.65 |
% 21.81/5.65 | Combining equations (1659,672) yields a new equation:
% 21.81/5.65 | (253) e4 = e2
% 21.81/5.65 |
% 21.81/5.65 | Simplifying 253 yields:
% 21.81/5.65 | (254) e4 = e2
% 21.81/5.65 |
% 21.81/5.65 | Equations (254) can reduce 194 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (1663) ~ (all_0_0_0 = e4)
% 21.81/5.65 | (1664) all_0_2_2 = e4 | all_0_3_3 = e4 | all_0_4_4 = e4
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (138), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (535) all_0_4_4 = e2
% 21.81/5.65 |
% 21.81/5.65 | Equations (535) can reduce 625 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (625) ~ (all_0_4_4 = e2)
% 21.81/5.65 | (740) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (96), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (784) all_0_20_20 = e2
% 21.81/5.65 |
% 21.81/5.65 | Equations (784) can reduce 26 to:
% 21.81/5.65 | (625) ~ (all_0_4_4 = e2)
% 21.81/5.65 |
% 21.81/5.65 | Equations (784) can reduce 263 to:
% 21.81/5.65 | (221) ~ (e4 = e2)
% 21.81/5.65 |
% 21.81/5.65 | Simplifying 221 yields:
% 21.81/5.65 | (194) ~ (e4 = e2)
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (63), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (1659) all_0_0_0 = e4
% 21.81/5.65 |
% 21.81/5.65 | Combining equations (1659,672) yields a new equation:
% 21.81/5.65 | (253) e4 = e2
% 21.81/5.65 |
% 21.81/5.65 | Simplifying 253 yields:
% 21.81/5.65 | (254) e4 = e2
% 21.81/5.65 |
% 21.81/5.65 | Equations (254) can reduce 194 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (1663) ~ (all_0_0_0 = e4)
% 21.81/5.65 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (156), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (535) all_0_4_4 = e2
% 21.81/5.65 |
% 21.81/5.65 | Equations (535) can reduce 625 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (625) ~ (all_0_4_4 = e2)
% 21.81/5.65 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (423), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (429) all_0_13_13 = e1
% 21.81/5.65 |
% 21.81/5.65 | Equations (429) can reduce 97 to:
% 21.81/5.65 | (383) ~ (e4 = e1)
% 21.81/5.65 |
% 21.81/5.65 | Simplifying 383 yields:
% 21.81/5.65 | (207) ~ (e4 = e1)
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (626), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (630) all_0_4_4 = e4
% 21.81/5.65 |
% 21.81/5.65 | Equations (630) can reduce 392 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (392) ~ (all_0_4_4 = e4)
% 21.81/5.65 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (1678), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (353) all_0_8_8 = e4
% 21.81/5.65 |
% 21.81/5.65 | Combining equations (353,611) yields a new equation:
% 21.81/5.65 | (493) e4 = e1
% 21.81/5.65 |
% 21.81/5.65 | Simplifying 493 yields:
% 21.81/5.65 | (494) e4 = e1
% 21.81/5.65 |
% 21.81/5.65 | Equations (494) can reduce 207 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (1227) ~ (all_0_8_8 = e4)
% 21.81/5.65 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 21.81/5.65 |
% 21.81/5.65 | Equations (611) can reduce 1227 to:
% 21.81/5.65 | (383) ~ (e4 = e1)
% 21.81/5.65 |
% 21.81/5.65 | Simplifying 383 yields:
% 21.81/5.65 | (207) ~ (e4 = e1)
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (1664), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (246) all_0_2_2 = e4
% 21.81/5.65 |
% 21.81/5.65 | Combining equations (236,246) yields a new equation:
% 21.81/5.65 | (248) e4 = e0
% 21.81/5.65 |
% 21.81/5.65 | Equations (248) can reduce 4 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (250) ~ (all_0_2_2 = e4)
% 21.81/5.65 | (1702) all_0_3_3 = e4 | all_0_4_4 = e4
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (1702), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (364) all_0_3_3 = e4
% 21.81/5.65 |
% 21.81/5.65 | Combining equations (364,695) yields a new equation:
% 21.81/5.65 | (493) e4 = e1
% 21.81/5.65 |
% 21.81/5.65 | Simplifying 493 yields:
% 21.81/5.65 | (494) e4 = e1
% 21.81/5.65 |
% 21.81/5.65 | Equations (494) can reduce 207 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (1220) ~ (all_0_3_3 = e4)
% 21.81/5.65 | (630) all_0_4_4 = e4
% 21.81/5.65 |
% 21.81/5.65 | Equations (630) can reduce 392 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.65 | (482) all_0_15_15 = e1
% 21.81/5.65 |
% 21.81/5.65 | Combining equations (391,482) yields a new equation:
% 21.81/5.65 | (493) e4 = e1
% 21.81/5.65 |
% 21.81/5.65 | Simplifying 493 yields:
% 21.81/5.65 | (494) e4 = e1
% 21.81/5.65 |
% 21.81/5.65 | Equations (494) can reduce 207 to:
% 21.81/5.65 | (243) $false
% 21.81/5.65 |
% 21.81/5.65 |-The branch is then unsatisfiable
% 21.81/5.65 |-Branch two:
% 21.81/5.65 | (522) ~ (all_0_20_20 = e2)
% 21.81/5.65 | (787) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (72), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (433), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.81/5.65 |
% 21.81/5.65 +-Applying beta-rule and splitting (434), into two cases.
% 21.81/5.65 |-Branch one:
% 21.81/5.65 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (435), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 21.81/5.66 |
% 21.81/5.66 | Applying alpha-rule on (436) yields:
% 21.81/5.66 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 21.81/5.66 | (438) ~ (unit = e4)
% 21.81/5.66 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 21.81/5.66 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 21.81/5.66 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 21.81/5.66 | (442) ~ (all_0_15_15 = e4)
% 21.81/5.66 | (280) all_0_5_5 = e3
% 21.81/5.66 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 21.81/5.66 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 21.81/5.66 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 21.81/5.66 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 21.81/5.66 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 21.81/5.66 |
% 21.81/5.66 | Combining equations (267,280) yields a new equation:
% 21.81/5.66 | (282) e3 = e0
% 21.81/5.66 |
% 21.81/5.66 | Equations (282) can reduce 54 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 21.81/5.66 |
% 21.81/5.66 | Applying alpha-rule on (452) yields:
% 21.81/5.66 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 21.81/5.66 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 21.81/5.66 | (422) ~ (all_0_12_12 = e1)
% 21.81/5.66 | (212) all_0_6_6 = e2
% 21.81/5.66 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 21.81/5.66 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.66 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 21.81/5.66 | (460) ~ (all_0_9_9 = e1)
% 21.81/5.66 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.66 | (462) ~ (all_0_11_11 = e1)
% 21.81/5.66 | (463) ~ (unit = e1)
% 21.81/5.66 | (464) ~ (all_0_4_4 = e1)
% 21.81/5.66 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (302), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (429) all_0_13_13 = e1
% 21.81/5.66 |
% 21.81/5.66 | Equations (429) can reduce 458 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.66 | (868) all_0_13_13 = e3
% 21.81/5.66 |
% 21.81/5.66 | Equations (868) can reduce 416 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 21.81/5.66 |
% 21.81/5.66 | Applying alpha-rule on (467) yields:
% 21.81/5.66 | (468) ~ (all_0_7_7 = e3)
% 21.81/5.66 | (405) ~ (all_0_16_16 = e3)
% 21.81/5.66 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 21.81/5.66 | (295) ~ (all_0_15_15 = e3)
% 21.81/5.66 | (472) ~ (all_0_12_12 = e3)
% 21.81/5.66 | (289) ~ (all_0_6_6 = e3)
% 21.81/5.66 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 21.81/5.66 | (475) ~ (unit = e3)
% 21.81/5.66 | (307) all_0_9_9 = e2
% 21.81/5.66 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 21.81/5.66 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 21.81/5.66 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.66 |
% 21.81/5.66 | Equations (413) can reduce 472 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 21.81/5.66 |
% 21.81/5.66 | Applying alpha-rule on (481) yields:
% 21.81/5.66 | (482) all_0_15_15 = e1
% 21.81/5.66 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 21.81/5.66 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 21.81/5.66 | (329) ~ (all_0_9_9 = e0)
% 21.81/5.66 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 21.81/5.66 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 21.81/5.66 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 21.81/5.66 | (489) ~ (unit = e0)
% 21.81/5.66 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 21.81/5.66 | (491) ~ (all_0_5_5 = e0)
% 21.81/5.66 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 21.81/5.66 |
% 21.81/5.66 | Combining equations (391,482) yields a new equation:
% 21.81/5.66 | (493) e4 = e1
% 21.81/5.66 |
% 21.81/5.66 | Simplifying 493 yields:
% 21.81/5.66 | (494) e4 = e1
% 21.81/5.66 |
% 21.81/5.66 | Equations (494) can reduce 207 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 21.81/5.66 |
% 21.81/5.66 | Applying alpha-rule on (496) yields:
% 21.81/5.66 | (308) ~ (all_0_1_1 = e2)
% 21.81/5.66 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 21.81/5.66 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 21.81/5.66 | (214) ~ (all_0_5_5 = e2)
% 21.81/5.66 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 21.81/5.66 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 21.81/5.66 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 21.81/5.66 | (213) ~ (all_0_3_3 = e2)
% 21.81/5.66 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 21.81/5.66 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 21.81/5.66 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 21.81/5.66 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 21.81/5.66 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 21.81/5.66 | (309) ~ (all_0_8_8 = e2)
% 21.81/5.66 | (220) ~ (all_0_19_19 = e2)
% 21.81/5.66 | (315) ~ (all_0_17_17 = e2)
% 21.81/5.66 | (216) ~ (all_0_7_7 = e2)
% 21.81/5.66 | (218) ~ (all_0_10_10 = e2)
% 21.81/5.66 | (227) ~ (all_0_13_13 = e2)
% 21.81/5.66 | (229) ~ (all_0_15_15 = e2)
% 21.81/5.66 | (313) ~ (all_0_11_11 = e2)
% 21.81/5.66 |
% 21.81/5.66 | Equations (391) can reduce 229 to:
% 21.81/5.66 | (194) ~ (e4 = e2)
% 21.81/5.66 |
% 21.81/5.66 | Equations (330) can reduce 315 to:
% 21.81/5.66 | (277) ~ (e2 = e0)
% 21.81/5.66 |
% 21.81/5.66 | Simplifying 277 yields:
% 21.81/5.66 | (39) ~ (e2 = e0)
% 21.81/5.66 |
% 21.81/5.66 | Equations (404) can reduce 220 to:
% 21.81/5.66 | (183) ~ (e3 = e2)
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (120), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (532) all_0_16_16 = e2
% 21.81/5.66 |
% 21.81/5.66 | Equations (532) can reduce 542 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (542) ~ (all_0_16_16 = e2)
% 21.81/5.66 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (740), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (812) all_0_7_7 = e2
% 21.81/5.66 |
% 21.81/5.66 | Combining equations (290,812) yields a new equation:
% 21.81/5.66 | (400) e3 = e2
% 21.81/5.66 |
% 21.81/5.66 | Simplifying 400 yields:
% 21.81/5.66 | (287) e3 = e2
% 21.81/5.66 |
% 21.81/5.66 | Equations (287) can reduce 183 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (216) ~ (all_0_7_7 = e2)
% 21.81/5.66 | (817) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 21.81/5.66 |
% 21.81/5.66 | Equations (290) can reduce 216 to:
% 21.81/5.66 | (183) ~ (e3 = e2)
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (671), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (1820) all_0_17_17 = e2
% 21.81/5.66 |
% 21.81/5.66 | Combining equations (330,1820) yields a new equation:
% 21.81/5.66 | (327) e2 = e0
% 21.81/5.66 |
% 21.81/5.66 | Equations (327) can reduce 39 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (315) ~ (all_0_17_17 = e2)
% 21.81/5.66 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (780), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (788) all_0_0_0 = e3
% 21.81/5.66 |
% 21.81/5.66 | Combining equations (788,672) yields a new equation:
% 21.81/5.66 | (400) e3 = e2
% 21.81/5.66 |
% 21.81/5.66 | Simplifying 400 yields:
% 21.81/5.66 | (287) e3 = e2
% 21.81/5.66 |
% 21.81/5.66 | Equations (287) can reduce 183 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.66 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.81/5.66 |
% 21.81/5.66 | Equations (672) can reduce 414 to:
% 21.81/5.66 | (232) ~ (e3 = e2)
% 21.81/5.66 |
% 21.81/5.66 | Simplifying 232 yields:
% 21.81/5.66 | (183) ~ (e3 = e2)
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (1824), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (242) all_0_18_18 = e2
% 21.81/5.66 |
% 21.81/5.66 | Combining equations (242,257) yields a new equation:
% 21.81/5.66 | (254) e4 = e2
% 21.81/5.66 |
% 21.81/5.66 | Equations (254) can reduce 194 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (231) ~ (all_0_18_18 = e2)
% 21.81/5.66 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (1837), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (1262) all_0_19_19 = e2
% 21.81/5.66 |
% 21.81/5.66 | Combining equations (1262,404) yields a new equation:
% 21.81/5.66 | (287) e3 = e2
% 21.81/5.66 |
% 21.81/5.66 | Equations (287) can reduce 183 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (220) ~ (all_0_19_19 = e2)
% 21.81/5.66 | (784) all_0_20_20 = e2
% 21.81/5.66 |
% 21.81/5.66 | Equations (784) can reduce 522 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (472) ~ (all_0_12_12 = e3)
% 21.81/5.66 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (871), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (868) all_0_13_13 = e3
% 21.81/5.66 |
% 21.81/5.66 | Equations (868) can reduce 416 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (416) ~ (all_0_13_13 = e3)
% 21.81/5.66 | (1216) all_0_15_15 = e3
% 21.81/5.66 |
% 21.81/5.66 | Equations (1216) can reduce 295 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (536) ~ (all_0_0_0 = e2)
% 21.81/5.66 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (83), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (672) all_0_0_0 = e2
% 21.81/5.66 |
% 21.81/5.66 | Equations (672) can reduce 536 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (536) ~ (all_0_0_0 = e2)
% 21.81/5.66 | (711) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (711), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (741) all_0_1_1 = e2
% 21.81/5.66 |
% 21.81/5.66 | Combining equations (741,424) yields a new equation:
% 21.81/5.66 | (287) e3 = e2
% 21.81/5.66 |
% 21.81/5.66 | Equations (287) can reduce 183 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.66 |-The branch is then unsatisfiable
% 21.81/5.66 |-Branch two:
% 21.81/5.66 | (308) ~ (all_0_1_1 = e2)
% 21.81/5.66 | (745) all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 21.81/5.66 |
% 21.81/5.66 +-Applying beta-rule and splitting (745), into two cases.
% 21.81/5.66 |-Branch one:
% 21.81/5.66 | (750) all_0_2_2 = e2
% 21.81/5.66 |
% 21.81/5.66 | Combining equations (750,236) yields a new equation:
% 21.81/5.66 | (339) e2 = e0
% 21.81/5.66 |
% 21.81/5.66 | Simplifying 339 yields:
% 21.81/5.66 | (327) e2 = e0
% 21.81/5.66 |
% 21.81/5.66 | Equations (327) can reduce 39 to:
% 21.81/5.66 | (243) $false
% 21.81/5.66 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (225) ~ (all_0_2_2 = e2)
% 21.81/5.67 | (754) all_0_3_3 = e2 | all_0_4_4 = e2
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (754), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (755) all_0_3_3 = e2
% 21.81/5.67 |
% 21.81/5.67 | Combining equations (755,695) yields a new equation:
% 21.81/5.67 | (559) e2 = e1
% 21.81/5.67 |
% 21.81/5.67 | Simplifying 559 yields:
% 21.81/5.67 | (560) e2 = e1
% 21.81/5.67 |
% 21.81/5.67 | Equations (560) can reduce 114 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (213) ~ (all_0_3_3 = e2)
% 21.81/5.67 | (535) all_0_4_4 = e2
% 21.81/5.67 |
% 21.81/5.67 | Equations (535) can reduce 464 to:
% 21.81/5.67 | (114) ~ (e2 = e1)
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (18), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (523) all_0_20_20 = e1
% 21.81/5.67 |
% 21.81/5.67 | Equations (523) can reduce 40 to:
% 21.81/5.67 | (1154) ~ (all_0_15_15 = e1)
% 21.81/5.67 |
% 21.81/5.67 | Equations (523) can reduce 81 to:
% 21.81/5.67 | (525) ~ (all_0_16_16 = e1)
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (129), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (413) all_0_12_12 = e3
% 21.81/5.67 |
% 21.81/5.67 | Equations (413) can reduce 88 to:
% 21.81/5.67 | (415) ~ (all_0_13_13 = e3)
% 21.81/5.67 |
% 21.81/5.67 | Simplifying 415 yields:
% 21.81/5.67 | (416) ~ (all_0_13_13 = e3)
% 21.81/5.67 |
% 21.81/5.67 | Equations (413) can reduce 36 to:
% 21.81/5.67 | (294) ~ (all_0_15_15 = e3)
% 21.81/5.67 |
% 21.81/5.67 | Simplifying 294 yields:
% 21.81/5.67 | (295) ~ (all_0_15_15 = e3)
% 21.81/5.67 |
% 21.81/5.67 | Equations (413) can reduce 189 to:
% 21.81/5.67 | (1883) ~ (all_0_16_16 = e3)
% 21.81/5.67 |
% 21.81/5.67 | Simplifying 1883 yields:
% 21.81/5.67 | (405) ~ (all_0_16_16 = e3)
% 21.81/5.67 |
% 21.81/5.67 | Equations (413) can reduce 210 to:
% 21.81/5.67 | (54) ~ (e3 = e0)
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (150), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (360) all_0_12_12 = e4
% 21.81/5.67 |
% 21.81/5.67 | Combining equations (413,360) yields a new equation:
% 21.81/5.67 | (373) e4 = e3
% 21.81/5.67 |
% 21.81/5.67 | Equations (373) can reduce 23 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (357) ~ (all_0_12_12 = e4)
% 21.81/5.67 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (48), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (1659) all_0_0_0 = e4
% 21.81/5.67 |
% 21.81/5.67 | Equations (1659) can reduce 188 to:
% 21.81/5.67 | (1892) ~ (all_0_16_16 = e4)
% 21.81/5.67 |
% 21.81/5.67 | Simplifying 1892 yields:
% 21.81/5.67 | (258) ~ (all_0_16_16 = e4)
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (715), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (1894) all_0_16_16 = e4
% 21.81/5.67 |
% 21.81/5.67 | Equations (1894) can reduce 258 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (258) ~ (all_0_16_16 = e4)
% 21.81/5.67 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (1897), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (621) all_0_16_16 = e1
% 21.81/5.67 |
% 21.81/5.67 | Equations (621) can reduce 525 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (525) ~ (all_0_16_16 = e1)
% 21.81/5.67 | (1901) all_0_16_16 = e3 | all_0_16_16 = e0
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (1901), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (1902) all_0_16_16 = e0
% 21.81/5.67 |
% 21.81/5.67 | Equations (1902) can reduce 276 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (276) ~ (all_0_16_16 = e0)
% 21.81/5.67 | (1202) all_0_16_16 = e3
% 21.81/5.67 |
% 21.81/5.67 | Equations (1202) can reduce 405 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (1663) ~ (all_0_0_0 = e4)
% 21.81/5.67 | (1664) all_0_2_2 = e4 | all_0_3_3 = e4 | all_0_4_4 = e4
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (63), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (1659) all_0_0_0 = e4
% 21.81/5.67 |
% 21.81/5.67 | Equations (1659) can reduce 1663 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (1663) ~ (all_0_0_0 = e4)
% 21.81/5.67 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (72), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (433), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (434), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 21.81/5.67 |
% 21.81/5.67 +-Applying beta-rule and splitting (435), into two cases.
% 21.81/5.67 |-Branch one:
% 21.81/5.67 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 21.81/5.67 |
% 21.81/5.67 | Applying alpha-rule on (436) yields:
% 21.81/5.67 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 21.81/5.67 | (438) ~ (unit = e4)
% 21.81/5.67 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 21.81/5.67 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 21.81/5.67 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 21.81/5.67 | (442) ~ (all_0_15_15 = e4)
% 21.81/5.67 | (280) all_0_5_5 = e3
% 21.81/5.67 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 21.81/5.67 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 21.81/5.67 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 21.81/5.67 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 21.81/5.67 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 21.81/5.67 |
% 21.81/5.67 | Combining equations (267,280) yields a new equation:
% 21.81/5.67 | (282) e3 = e0
% 21.81/5.67 |
% 21.81/5.67 | Equations (282) can reduce 54 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 21.81/5.67 |
% 21.81/5.67 | Applying alpha-rule on (452) yields:
% 21.81/5.67 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 21.81/5.67 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 21.81/5.67 | (422) ~ (all_0_12_12 = e1)
% 21.81/5.67 | (212) all_0_6_6 = e2
% 21.81/5.67 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 21.81/5.67 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.67 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 21.81/5.67 | (460) ~ (all_0_9_9 = e1)
% 21.81/5.67 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.67 | (462) ~ (all_0_11_11 = e1)
% 21.81/5.67 | (463) ~ (unit = e1)
% 21.81/5.67 | (464) ~ (all_0_4_4 = e1)
% 21.81/5.67 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 21.81/5.67 |
% 21.81/5.67 | Equations (523) can reduce 461 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 21.81/5.67 |
% 21.81/5.67 | Applying alpha-rule on (467) yields:
% 21.81/5.67 | (468) ~ (all_0_7_7 = e3)
% 21.81/5.67 | (405) ~ (all_0_16_16 = e3)
% 21.81/5.67 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 21.81/5.67 | (295) ~ (all_0_15_15 = e3)
% 21.81/5.67 | (472) ~ (all_0_12_12 = e3)
% 21.81/5.67 | (289) ~ (all_0_6_6 = e3)
% 21.81/5.67 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 21.81/5.67 | (475) ~ (unit = e3)
% 21.81/5.67 | (307) all_0_9_9 = e2
% 21.81/5.67 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 21.81/5.67 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 21.81/5.67 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.67 |
% 21.81/5.67 | Equations (413) can reduce 472 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 21.81/5.67 |
% 21.81/5.67 | Applying alpha-rule on (481) yields:
% 21.81/5.67 | (482) all_0_15_15 = e1
% 21.81/5.67 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 21.81/5.67 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 21.81/5.67 | (329) ~ (all_0_9_9 = e0)
% 21.81/5.67 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 21.81/5.67 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 21.81/5.67 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 21.81/5.67 | (489) ~ (unit = e0)
% 21.81/5.67 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 21.81/5.67 | (491) ~ (all_0_5_5 = e0)
% 21.81/5.67 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 21.81/5.67 |
% 21.81/5.67 | Equations (482) can reduce 1154 to:
% 21.81/5.67 | (243) $false
% 21.81/5.67 |
% 21.81/5.67 |-The branch is then unsatisfiable
% 21.81/5.67 |-Branch two:
% 21.81/5.67 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 21.81/5.67 |
% 21.81/5.67 | Applying alpha-rule on (496) yields:
% 21.81/5.67 | (308) ~ (all_0_1_1 = e2)
% 21.81/5.67 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 21.81/5.67 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 21.81/5.67 | (214) ~ (all_0_5_5 = e2)
% 21.81/5.67 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 21.81/5.67 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 21.81/5.67 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 21.81/5.67 | (213) ~ (all_0_3_3 = e2)
% 21.81/5.67 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 21.81/5.67 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 21.81/5.67 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 21.81/5.67 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 21.81/5.67 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 21.81/5.67 | (309) ~ (all_0_8_8 = e2)
% 21.81/5.67 | (220) ~ (all_0_19_19 = e2)
% 21.81/5.67 | (315) ~ (all_0_17_17 = e2)
% 21.81/5.67 | (216) ~ (all_0_7_7 = e2)
% 21.81/5.67 | (218) ~ (all_0_10_10 = e2)
% 21.81/5.68 | (227) ~ (all_0_13_13 = e2)
% 21.81/5.68 | (229) ~ (all_0_15_15 = e2)
% 21.81/5.68 | (313) ~ (all_0_11_11 = e2)
% 21.81/5.68 |
% 21.81/5.68 | Equations (377) can reduce 218 to:
% 21.81/5.68 | (194) ~ (e4 = e2)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (302), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (429) all_0_13_13 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (429) can reduce 179 to:
% 21.81/5.68 | (1997) ~ (all_0_15_15 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 1997 yields:
% 21.81/5.68 | (1154) ~ (all_0_15_15 = e1)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (52), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (630) all_0_4_4 = e4
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (630,535) yields a new equation:
% 21.81/5.68 | (253) e4 = e2
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 253 yields:
% 21.81/5.68 | (254) e4 = e2
% 21.81/5.68 |
% 21.81/5.68 | Equations (254) can reduce 194 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (392) ~ (all_0_4_4 = e4)
% 21.81/5.68 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 21.81/5.68 |
% 21.81/5.68 | Equations (535) can reduce 392 to:
% 21.81/5.68 | (221) ~ (e4 = e2)
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 221 yields:
% 21.81/5.68 | (194) ~ (e4 = e2)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (715), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (1894) all_0_16_16 = e4
% 21.81/5.68 |
% 21.81/5.68 | Equations (1894) can reduce 258 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (258) ~ (all_0_16_16 = e4)
% 21.81/5.68 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (363), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (252) all_0_14_14 = e4
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (224,252) yields a new equation:
% 21.81/5.68 | (254) e4 = e2
% 21.81/5.68 |
% 21.81/5.68 | Equations (254) can reduce 194 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (256) ~ (all_0_14_14 = e4)
% 21.81/5.68 | (391) all_0_15_15 = e4
% 21.81/5.68 |
% 21.81/5.68 | Equations (391) can reduce 295 to:
% 21.81/5.68 | (23) ~ (e4 = e3)
% 21.81/5.68 |
% 21.81/5.68 | Equations (391) can reduce 1154 to:
% 21.81/5.68 | (207) ~ (e4 = e1)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (1678), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (353) all_0_8_8 = e4
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (353,611) yields a new equation:
% 21.81/5.68 | (493) e4 = e1
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 493 yields:
% 21.81/5.68 | (494) e4 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (494) can reduce 207 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (1227) ~ (all_0_8_8 = e4)
% 21.81/5.68 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (1695), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (360) all_0_12_12 = e4
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (413,360) yields a new equation:
% 21.81/5.68 | (373) e4 = e3
% 21.81/5.68 |
% 21.81/5.68 | Equations (373) can reduce 23 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (357) ~ (all_0_12_12 = e4)
% 21.81/5.68 | (1894) all_0_16_16 = e4
% 21.81/5.68 |
% 21.81/5.68 | Equations (1894) can reduce 258 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.68 | (868) all_0_13_13 = e3
% 21.81/5.68 |
% 21.81/5.68 | Equations (868) can reduce 416 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (472) ~ (all_0_12_12 = e3)
% 21.81/5.68 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (871), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (868) all_0_13_13 = e3
% 21.81/5.68 |
% 21.81/5.68 | Equations (868) can reduce 416 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (416) ~ (all_0_13_13 = e3)
% 21.81/5.68 | (1216) all_0_15_15 = e3
% 21.81/5.68 |
% 21.81/5.68 | Equations (1216) can reduce 295 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.68 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (145), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (634) all_0_4_4 = e1
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (634,535) yields a new equation:
% 21.81/5.68 | (560) e2 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (560) can reduce 114 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (464) ~ (all_0_4_4 = e1)
% 21.81/5.68 | (1140) all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (1140), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (1145) all_0_11_11 = e1
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (343,1145) yields a new equation:
% 21.81/5.68 | (561) e1 = e0
% 21.81/5.68 |
% 21.81/5.68 | Equations (561) can reduce 109 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (462) ~ (all_0_11_11 = e1)
% 21.81/5.68 | (1149) all_0_15_15 = e1 | all_0_20_20 = e1
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (1149), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (482) all_0_15_15 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (482) can reduce 179 to:
% 21.81/5.68 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Equations (482) can reduce 151 to:
% 21.81/5.68 | (109) ~ (e1 = e0)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (1295), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (429) all_0_13_13 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (429) can reduce 458 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.68 | (1012) all_0_17_17 = e1
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (1012,330) yields a new equation:
% 21.81/5.68 | (587) e1 = e0
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 587 yields:
% 21.81/5.68 | (561) e1 = e0
% 21.81/5.68 |
% 21.81/5.68 | Equations (561) can reduce 109 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (1154) ~ (all_0_15_15 = e1)
% 21.81/5.68 | (523) all_0_20_20 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (523) can reduce 461 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (698) ~ (all_0_3_3 = e1)
% 21.81/5.68 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (64), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (755) all_0_3_3 = e2
% 21.81/5.68 |
% 21.81/5.68 | Equations (755) can reduce 213 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (213) ~ (all_0_3_3 = e2)
% 21.81/5.68 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (2066), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (380) all_0_10_10 = e1
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (377,380) yields a new equation:
% 21.81/5.68 | (493) e4 = e1
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 493 yields:
% 21.81/5.68 | (494) e4 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (494) can reduce 207 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (2075) ~ (all_0_10_10 = e1)
% 21.81/5.68 | (1017) all_0_19_19 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (1017) can reduce 135 to:
% 21.81/5.68 | (698) ~ (all_0_3_3 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Equations (1017) can reduce 79 to:
% 21.81/5.68 | (525) ~ (all_0_16_16 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Equations (1017) can reduce 158 to:
% 21.81/5.68 | (2079) ~ (all_0_20_20 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 2079 yields:
% 21.81/5.68 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Equations (1017) can reduce 261 to:
% 21.81/5.68 | (383) ~ (e4 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 383 yields:
% 21.81/5.68 | (207) ~ (e4 = e1)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (140), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (372) all_0_3_3 = e3
% 21.81/5.68 |
% 21.81/5.68 | Equations (372) can reduce 85 to:
% 21.81/5.68 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.68 |
% 21.81/5.68 | Equations (372) can reduce 47 to:
% 21.81/5.68 | (842) ~ (all_0_1_1 = e3)
% 21.81/5.68 |
% 21.81/5.68 | Equations (372) can reduce 698 to:
% 21.81/5.68 | (111) ~ (e3 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Equations (372) can reduce 193 to:
% 21.81/5.68 | (54) ~ (e3 = e0)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (161), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (424) all_0_1_1 = e3
% 21.81/5.68 |
% 21.81/5.68 | Equations (424) can reduce 842 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (842) ~ (all_0_1_1 = e3)
% 21.81/5.68 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (96), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (784) all_0_20_20 = e2
% 21.81/5.68 |
% 21.81/5.68 | Equations (784) can reduce 26 to:
% 21.81/5.68 | (625) ~ (all_0_4_4 = e2)
% 21.81/5.68 |
% 21.81/5.68 | Equations (784) can reduce 81 to:
% 21.81/5.68 | (542) ~ (all_0_16_16 = e2)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (843), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (868) all_0_13_13 = e3
% 21.81/5.68 |
% 21.81/5.68 | Equations (868) can reduce 70 to:
% 21.81/5.68 | (842) ~ (all_0_1_1 = e3)
% 21.81/5.68 |
% 21.81/5.68 | Equations (868) can reduce 88 to:
% 21.81/5.68 | (472) ~ (all_0_12_12 = e3)
% 21.81/5.68 |
% 21.81/5.68 | Equations (868) can reduce 21 to:
% 21.81/5.68 | (54) ~ (e3 = e0)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (142), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (741) all_0_1_1 = e2
% 21.81/5.68 |
% 21.81/5.68 | Equations (741) can reduce 308 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (308) ~ (all_0_1_1 = e2)
% 21.81/5.68 | (847) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (170), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (788) all_0_0_0 = e3
% 21.81/5.68 |
% 21.81/5.68 | Equations (788) can reduce 414 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.68 | (1186) all_0_5_5 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (423), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (429) all_0_13_13 = e1
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (868,429) yields a new equation:
% 21.81/5.68 | (419) e3 = e1
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 419 yields:
% 21.81/5.68 | (420) e3 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (420) can reduce 111 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.68 | (482) all_0_15_15 = e1
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (150), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (360) all_0_12_12 = e4
% 21.81/5.68 |
% 21.81/5.68 | Equations (360) can reduce 80 to:
% 21.81/5.68 | (1663) ~ (all_0_0_0 = e4)
% 21.81/5.68 |
% 21.81/5.68 | Equations (360) can reduce 189 to:
% 21.81/5.68 | (1892) ~ (all_0_16_16 = e4)
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 1892 yields:
% 21.81/5.68 | (258) ~ (all_0_16_16 = e4)
% 21.81/5.68 |
% 21.81/5.68 | Equations (360) can reduce 210 to:
% 21.81/5.68 | (4) ~ (e4 = e0)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (9), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (605) all_0_1_1 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (605) can reduce 178 to:
% 21.81/5.68 | (595) ~ (all_0_0_0 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Equations (605) can reduce 308 to:
% 21.81/5.68 | (530) ~ (e2 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 530 yields:
% 21.81/5.68 | (114) ~ (e2 = e1)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (136), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (672) all_0_0_0 = e2
% 21.81/5.68 |
% 21.81/5.68 | Equations (672) can reduce 414 to:
% 21.81/5.68 | (232) ~ (e3 = e2)
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 232 yields:
% 21.81/5.68 | (183) ~ (e3 = e2)
% 21.81/5.68 |
% 21.81/5.68 | Equations (672) can reduce 595 to:
% 21.81/5.68 | (114) ~ (e2 = e1)
% 21.81/5.68 |
% 21.81/5.68 | Equations (672) can reduce 268 to:
% 21.81/5.68 | (39) ~ (e2 = e0)
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (18), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (523) all_0_20_20 = e1
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (523,784) yields a new equation:
% 21.81/5.68 | (560) e2 = e1
% 21.81/5.68 |
% 21.81/5.68 | Equations (560) can reduce 114 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.68 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (780), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (788) all_0_0_0 = e3
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (788,672) yields a new equation:
% 21.81/5.68 | (400) e3 = e2
% 21.81/5.68 |
% 21.81/5.68 | Simplifying 400 yields:
% 21.81/5.68 | (287) e3 = e2
% 21.81/5.68 |
% 21.81/5.68 | Equations (287) can reduce 183 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.68 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.81/5.68 |
% 21.81/5.68 +-Applying beta-rule and splitting (791), into two cases.
% 21.81/5.68 |-Branch one:
% 21.81/5.68 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 21.81/5.68 |
% 21.81/5.68 | Applying alpha-rule on (796) yields:
% 21.81/5.68 | (797) all_0_0_0 = e0
% 21.81/5.68 | (792) all_0_20_20 = e4
% 21.81/5.68 | (392) ~ (all_0_4_4 = e4)
% 21.81/5.68 |
% 21.81/5.68 | Combining equations (797,672) yields a new equation:
% 21.81/5.68 | (327) e2 = e0
% 21.81/5.68 |
% 21.81/5.68 | Equations (327) can reduce 39 to:
% 21.81/5.68 | (243) $false
% 21.81/5.68 |
% 21.81/5.68 |-The branch is then unsatisfiable
% 21.81/5.68 |-Branch two:
% 21.81/5.68 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 21.81/5.68 |
% 21.81/5.68 | Applying alpha-rule on (801) yields:
% 21.81/5.68 | (797) all_0_0_0 = e0
% 21.81/5.69 | (792) all_0_20_20 = e4
% 21.81/5.69 | (276) ~ (all_0_16_16 = e0)
% 21.81/5.69 |
% 21.81/5.69 | Combining equations (797,672) yields a new equation:
% 21.81/5.69 | (327) e2 = e0
% 21.81/5.69 |
% 21.81/5.69 | Equations (327) can reduce 39 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (536) ~ (all_0_0_0 = e2)
% 21.81/5.69 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (148), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (1202) all_0_16_16 = e3
% 21.81/5.69 |
% 21.81/5.69 | Equations (1202) can reduce 188 to:
% 21.81/5.69 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.69 |
% 21.81/5.69 | Equations (1202) can reduce 258 to:
% 21.81/5.69 | (408) ~ (e4 = e3)
% 21.81/5.69 |
% 21.81/5.69 | Simplifying 408 yields:
% 21.81/5.69 | (23) ~ (e4 = e3)
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (83), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (672) all_0_0_0 = e2
% 21.81/5.69 |
% 21.81/5.69 | Equations (672) can reduce 536 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (536) ~ (all_0_0_0 = e2)
% 21.81/5.69 | (711) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (52), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (630) all_0_4_4 = e4
% 21.81/5.69 |
% 21.81/5.69 | Equations (630) can reduce 625 to:
% 21.81/5.69 | (194) ~ (e4 = e2)
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (711), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (741) all_0_1_1 = e2
% 21.81/5.69 |
% 21.81/5.69 | Combining equations (741,605) yields a new equation:
% 21.81/5.69 | (559) e2 = e1
% 21.81/5.69 |
% 21.81/5.69 | Simplifying 559 yields:
% 21.81/5.69 | (560) e2 = e1
% 21.81/5.69 |
% 21.81/5.69 | Equations (560) can reduce 114 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (308) ~ (all_0_1_1 = e2)
% 21.81/5.69 | (745) all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 21.81/5.69 |
% 21.81/5.69 | Equations (605) can reduce 308 to:
% 21.81/5.69 | (530) ~ (e2 = e1)
% 21.81/5.69 |
% 21.81/5.69 | Simplifying 530 yields:
% 21.81/5.69 | (114) ~ (e2 = e1)
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (18), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (523) all_0_20_20 = e1
% 21.81/5.69 |
% 21.81/5.69 | Combining equations (784,523) yields a new equation:
% 21.81/5.69 | (559) e2 = e1
% 21.81/5.69 |
% 21.81/5.69 | Simplifying 559 yields:
% 21.81/5.69 | (560) e2 = e1
% 21.81/5.69 |
% 21.81/5.69 | Equations (560) can reduce 114 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.69 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (780), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (788) all_0_0_0 = e3
% 21.81/5.69 |
% 21.81/5.69 | Equations (788) can reduce 414 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.69 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (791), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 21.81/5.69 |
% 21.81/5.69 | Applying alpha-rule on (796) yields:
% 21.81/5.69 | (797) all_0_0_0 = e0
% 21.81/5.69 | (792) all_0_20_20 = e4
% 21.81/5.69 | (392) ~ (all_0_4_4 = e4)
% 21.81/5.69 |
% 21.81/5.69 | Combining equations (784,792) yields a new equation:
% 21.81/5.69 | (254) e4 = e2
% 21.81/5.69 |
% 21.81/5.69 | Equations (254) can reduce 194 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 21.81/5.69 |
% 21.81/5.69 | Applying alpha-rule on (801) yields:
% 21.81/5.69 | (797) all_0_0_0 = e0
% 21.81/5.69 | (792) all_0_20_20 = e4
% 21.81/5.69 | (276) ~ (all_0_16_16 = e0)
% 21.81/5.69 |
% 21.81/5.69 | Combining equations (784,792) yields a new equation:
% 21.81/5.69 | (254) e4 = e2
% 21.81/5.69 |
% 21.81/5.69 | Equations (254) can reduce 194 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (392) ~ (all_0_4_4 = e4)
% 21.81/5.69 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (48), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (1659) all_0_0_0 = e4
% 21.81/5.69 |
% 21.81/5.69 | Equations (1659) can reduce 1663 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (1663) ~ (all_0_0_0 = e4)
% 21.81/5.69 | (1664) all_0_2_2 = e4 | all_0_3_3 = e4 | all_0_4_4 = e4
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (1664), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (246) all_0_2_2 = e4
% 21.81/5.69 |
% 21.81/5.69 | Combining equations (246,236) yields a new equation:
% 21.81/5.69 | (247) e4 = e0
% 21.81/5.69 |
% 21.81/5.69 | Simplifying 247 yields:
% 21.81/5.69 | (248) e4 = e0
% 21.81/5.69 |
% 21.81/5.69 | Equations (248) can reduce 4 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (250) ~ (all_0_2_2 = e4)
% 21.81/5.69 | (1702) all_0_3_3 = e4 | all_0_4_4 = e4
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (1702), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (364) all_0_3_3 = e4
% 21.81/5.69 |
% 21.81/5.69 | Combining equations (372,364) yields a new equation:
% 21.81/5.69 | (373) e4 = e3
% 21.81/5.69 |
% 21.81/5.69 | Equations (373) can reduce 23 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (1220) ~ (all_0_3_3 = e4)
% 21.81/5.69 | (630) all_0_4_4 = e4
% 21.81/5.69 |
% 21.81/5.69 | Equations (630) can reduce 392 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (405) ~ (all_0_16_16 = e3)
% 21.81/5.69 | (2211) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (154), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (532) all_0_16_16 = e2
% 21.81/5.69 |
% 21.81/5.69 | Equations (532) can reduce 542 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (542) ~ (all_0_16_16 = e2)
% 21.81/5.69 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (715), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (1894) all_0_16_16 = e4
% 21.81/5.69 |
% 21.81/5.69 | Equations (1894) can reduce 258 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (258) ~ (all_0_16_16 = e4)
% 21.81/5.69 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (1897), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (621) all_0_16_16 = e1
% 21.81/5.69 |
% 21.81/5.69 | Equations (621) can reduce 525 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (525) ~ (all_0_16_16 = e1)
% 21.81/5.69 | (1901) all_0_16_16 = e3 | all_0_16_16 = e0
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (1901), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (1902) all_0_16_16 = e0
% 21.81/5.69 |
% 21.81/5.69 | Equations (1902) can reduce 276 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (276) ~ (all_0_16_16 = e0)
% 21.81/5.69 | (1202) all_0_16_16 = e3
% 21.81/5.69 |
% 21.81/5.69 | Equations (1202) can reduce 405 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (608) ~ (all_0_1_1 = e1)
% 21.81/5.69 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (847), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (605) all_0_1_1 = e1
% 21.81/5.69 |
% 21.81/5.69 | Equations (605) can reduce 608 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (608) ~ (all_0_1_1 = e1)
% 21.81/5.69 | (861) all_0_1_1 = e3 | all_0_1_1 = e0
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (861), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (322) all_0_1_1 = e0
% 21.81/5.69 |
% 21.81/5.69 | Equations (322) can reduce 237 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (237) ~ (all_0_1_1 = e0)
% 21.81/5.69 | (424) all_0_1_1 = e3
% 21.81/5.69 |
% 21.81/5.69 | Equations (424) can reduce 842 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (357) ~ (all_0_12_12 = e4)
% 21.81/5.69 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (186), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (732) all_0_12_12 = e2
% 21.81/5.69 |
% 21.81/5.69 | Equations (732) can reduce 226 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (226) ~ (all_0_12_12 = e2)
% 21.81/5.69 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (72), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (433), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (434), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 21.81/5.69 |
% 21.81/5.69 +-Applying beta-rule and splitting (435), into two cases.
% 21.81/5.69 |-Branch one:
% 21.81/5.69 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 21.81/5.69 |
% 21.81/5.69 | Applying alpha-rule on (436) yields:
% 21.81/5.69 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 21.81/5.69 | (438) ~ (unit = e4)
% 21.81/5.69 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 21.81/5.69 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 21.81/5.69 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 21.81/5.69 | (442) ~ (all_0_15_15 = e4)
% 21.81/5.69 | (280) all_0_5_5 = e3
% 21.81/5.69 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 21.81/5.69 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 21.81/5.69 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 21.81/5.69 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 21.81/5.69 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 21.81/5.69 |
% 21.81/5.69 | Combining equations (267,280) yields a new equation:
% 21.81/5.69 | (282) e3 = e0
% 21.81/5.69 |
% 21.81/5.69 | Equations (282) can reduce 54 to:
% 21.81/5.69 | (243) $false
% 21.81/5.69 |
% 21.81/5.69 |-The branch is then unsatisfiable
% 21.81/5.69 |-Branch two:
% 21.81/5.69 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 21.81/5.70 |
% 21.81/5.70 | Applying alpha-rule on (452) yields:
% 21.81/5.70 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 21.81/5.70 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 21.81/5.70 | (422) ~ (all_0_12_12 = e1)
% 21.81/5.70 | (212) all_0_6_6 = e2
% 21.81/5.70 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 21.81/5.70 | (458) ~ (all_0_13_13 = e1)
% 21.81/5.70 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 21.81/5.70 | (460) ~ (all_0_9_9 = e1)
% 21.81/5.70 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.70 | (462) ~ (all_0_11_11 = e1)
% 21.81/5.70 | (463) ~ (unit = e1)
% 21.81/5.70 | (464) ~ (all_0_4_4 = e1)
% 21.81/5.70 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (875), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (360) all_0_12_12 = e4
% 21.81/5.70 |
% 21.81/5.70 | Equations (360) can reduce 357 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (357) ~ (all_0_12_12 = e4)
% 21.81/5.70 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (899), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (418) all_0_12_12 = e1
% 21.81/5.70 |
% 21.81/5.70 | Equations (418) can reduce 422 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (422) ~ (all_0_12_12 = e1)
% 21.81/5.70 | (413) all_0_12_12 = e3
% 21.81/5.70 |
% 21.81/5.70 | Equations (413) can reduce 472 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 21.81/5.70 |
% 21.81/5.70 | Applying alpha-rule on (467) yields:
% 21.81/5.70 | (468) ~ (all_0_7_7 = e3)
% 21.81/5.70 | (405) ~ (all_0_16_16 = e3)
% 21.81/5.70 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 21.81/5.70 | (295) ~ (all_0_15_15 = e3)
% 21.81/5.70 | (472) ~ (all_0_12_12 = e3)
% 21.81/5.70 | (289) ~ (all_0_6_6 = e3)
% 21.81/5.70 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 21.81/5.70 | (475) ~ (unit = e3)
% 21.81/5.70 | (307) all_0_9_9 = e2
% 21.81/5.70 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 21.81/5.70 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 21.81/5.70 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.70 |
% 21.81/5.70 | Equations (290) can reduce 468 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 21.81/5.70 |
% 21.81/5.70 | Applying alpha-rule on (481) yields:
% 21.81/5.70 | (482) all_0_15_15 = e1
% 21.81/5.70 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 21.81/5.70 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 21.81/5.70 | (329) ~ (all_0_9_9 = e0)
% 21.81/5.70 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 21.81/5.70 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 21.81/5.70 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 21.81/5.70 | (489) ~ (unit = e0)
% 21.81/5.70 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 21.81/5.70 | (491) ~ (all_0_5_5 = e0)
% 21.81/5.70 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 21.81/5.70 |
% 21.81/5.70 | Equations (267) can reduce 491 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 21.81/5.70 |
% 21.81/5.70 | Applying alpha-rule on (496) yields:
% 21.81/5.70 | (308) ~ (all_0_1_1 = e2)
% 21.81/5.70 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 21.81/5.70 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 21.81/5.70 | (214) ~ (all_0_5_5 = e2)
% 21.81/5.70 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 21.81/5.70 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 21.81/5.70 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 21.81/5.70 | (213) ~ (all_0_3_3 = e2)
% 21.81/5.70 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 21.81/5.70 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 21.81/5.70 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 21.81/5.70 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 21.81/5.70 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 21.81/5.70 | (309) ~ (all_0_8_8 = e2)
% 21.81/5.70 | (220) ~ (all_0_19_19 = e2)
% 21.81/5.70 | (315) ~ (all_0_17_17 = e2)
% 21.81/5.70 | (216) ~ (all_0_7_7 = e2)
% 21.81/5.70 | (218) ~ (all_0_10_10 = e2)
% 21.81/5.70 | (227) ~ (all_0_13_13 = e2)
% 21.81/5.70 | (229) ~ (all_0_15_15 = e2)
% 21.81/5.70 | (313) ~ (all_0_11_11 = e2)
% 21.81/5.70 |
% 21.81/5.70 | Equations (377) can reduce 218 to:
% 21.81/5.70 | (194) ~ (e4 = e2)
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (363), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (252) all_0_14_14 = e4
% 21.81/5.70 |
% 21.81/5.70 | Combining equations (224,252) yields a new equation:
% 21.81/5.70 | (254) e4 = e2
% 21.81/5.70 |
% 21.81/5.70 | Equations (254) can reduce 194 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (256) ~ (all_0_14_14 = e4)
% 21.81/5.70 | (391) all_0_15_15 = e4
% 21.81/5.70 |
% 21.81/5.70 | Combining equations (482,391) yields a new equation:
% 21.81/5.70 | (494) e4 = e1
% 21.81/5.70 |
% 21.81/5.70 | Equations (494) can reduce 207 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (416) ~ (all_0_13_13 = e3)
% 21.81/5.70 | (1181) all_0_17_17 = e3
% 21.81/5.70 |
% 21.81/5.70 | Combining equations (330,1181) yields a new equation:
% 21.81/5.70 | (282) e3 = e0
% 21.81/5.70 |
% 21.81/5.70 | Equations (282) can reduce 54 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (522) ~ (all_0_20_20 = e2)
% 21.81/5.70 | (787) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (18), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (523) all_0_20_20 = e1
% 21.81/5.70 |
% 21.81/5.70 | Equations (523) can reduce 461 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (461) ~ (all_0_20_20 = e1)
% 21.81/5.70 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (780), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (788) all_0_0_0 = e3
% 21.81/5.70 |
% 21.81/5.70 | Equations (788) can reduce 414 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (414) ~ (all_0_0_0 = e3)
% 21.81/5.70 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (787), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (792) all_0_20_20 = e4
% 21.81/5.70 |
% 21.81/5.70 | Equations (792) can reduce 263 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (263) ~ (all_0_20_20 = e4)
% 21.81/5.70 | (795) all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (791), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 21.81/5.70 |
% 21.81/5.70 | Applying alpha-rule on (796) yields:
% 21.81/5.70 | (797) all_0_0_0 = e0
% 21.81/5.70 | (792) all_0_20_20 = e4
% 21.81/5.70 | (392) ~ (all_0_4_4 = e4)
% 21.81/5.70 |
% 21.81/5.70 | Equations (792) can reduce 263 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 21.81/5.70 |
% 21.81/5.70 | Applying alpha-rule on (801) yields:
% 21.81/5.70 | (797) all_0_0_0 = e0
% 21.81/5.70 | (792) all_0_20_20 = e4
% 21.81/5.70 | (276) ~ (all_0_16_16 = e0)
% 21.81/5.70 |
% 21.81/5.70 | Equations (792) can reduce 263 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (375) ~ (all_0_3_3 = e3)
% 21.81/5.70 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (2070), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (364) all_0_3_3 = e4
% 21.81/5.70 |
% 21.81/5.70 | Equations (364) can reduce 1220 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (1220) ~ (all_0_3_3 = e4)
% 21.81/5.70 | (2377) all_0_3_3 = e3 | all_0_3_3 = e1
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (2377), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (695) all_0_3_3 = e1
% 21.81/5.70 |
% 21.81/5.70 | Equations (695) can reduce 698 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (698) ~ (all_0_3_3 = e1)
% 21.81/5.70 | (372) all_0_3_3 = e3
% 21.81/5.70 |
% 21.81/5.70 | Equations (372) can reduce 375 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (614) ~ (all_0_8_8 = e1)
% 21.81/5.70 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (1232), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (353) all_0_8_8 = e4
% 21.81/5.70 |
% 21.81/5.70 | Equations (353) can reduce 1227 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (1227) ~ (all_0_8_8 = e4)
% 21.81/5.70 | (2388) all_0_8_8 = e1 | all_0_8_8 = e0
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (2388), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (611) all_0_8_8 = e1
% 21.81/5.70 |
% 21.81/5.70 | Equations (611) can reduce 614 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (614) ~ (all_0_8_8 = e1)
% 21.81/5.70 | (318) all_0_8_8 = e0
% 21.81/5.70 |
% 21.81/5.70 | Equations (318) can reduce 272 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (355) ~ (all_0_10_10 = e4)
% 21.81/5.70 | (2395) all_0_11_11 = e4
% 21.81/5.70 |
% 21.81/5.70 | Combining equations (343,2395) yields a new equation:
% 21.81/5.70 | (248) e4 = e0
% 21.81/5.70 |
% 21.81/5.70 | Equations (248) can reduce 4 to:
% 21.81/5.70 | (243) $false
% 21.81/5.70 |
% 21.81/5.70 |-The branch is then unsatisfiable
% 21.81/5.70 |-Branch two:
% 21.81/5.70 | (2398) ~ (all_0_9_9 = e2)
% 21.81/5.70 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (2), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (727) all_0_8_8 = e2
% 21.81/5.70 |
% 21.81/5.70 | Equations (727) can reduce 3 to:
% 21.81/5.70 | (2401) ~ (all_0_9_9 = e2)
% 21.81/5.70 |
% 21.81/5.70 | Simplifying 2401 yields:
% 21.81/5.70 | (2398) ~ (all_0_9_9 = e2)
% 21.81/5.70 |
% 21.81/5.70 | Equations (727) can reduce 7 to:
% 21.81/5.70 | (312) ~ (all_0_11_11 = e2)
% 21.81/5.70 |
% 21.81/5.70 | Simplifying 312 yields:
% 21.81/5.70 | (313) ~ (all_0_11_11 = e2)
% 21.81/5.70 |
% 21.81/5.70 | Equations (727) can reduce 187 to:
% 21.81/5.70 | (1540) ~ (all_0_16_16 = e2)
% 21.81/5.70 |
% 21.81/5.70 | Simplifying 1540 yields:
% 21.81/5.70 | (542) ~ (all_0_16_16 = e2)
% 21.81/5.70 |
% 21.81/5.70 +-Applying beta-rule and splitting (72), into two cases.
% 21.81/5.70 |-Branch one:
% 21.81/5.70 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 21.81/5.71 |
% 21.81/5.71 +-Applying beta-rule and splitting (433), into two cases.
% 21.81/5.71 |-Branch one:
% 21.81/5.71 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.81/5.71 |
% 21.81/5.71 +-Applying beta-rule and splitting (434), into two cases.
% 21.81/5.71 |-Branch one:
% 21.81/5.71 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 21.81/5.71 |
% 21.81/5.71 +-Applying beta-rule and splitting (435), into two cases.
% 21.81/5.71 |-Branch one:
% 21.81/5.71 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 21.81/5.71 |
% 21.81/5.71 | Applying alpha-rule on (436) yields:
% 21.81/5.71 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 21.81/5.71 | (438) ~ (unit = e4)
% 21.81/5.71 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 21.81/5.71 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 21.81/5.71 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.11/5.71 | (442) ~ (all_0_15_15 = e4)
% 22.11/5.71 | (280) all_0_5_5 = e3
% 22.11/5.71 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.11/5.71 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.11/5.71 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.11/5.71 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.11/5.71 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.11/5.71 |
% 22.11/5.71 | Combining equations (280,267) yields a new equation:
% 22.11/5.71 | (281) e3 = e0
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 281 yields:
% 22.11/5.71 | (282) e3 = e0
% 22.11/5.71 |
% 22.11/5.71 | Equations (282) can reduce 54 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.11/5.71 |
% 22.11/5.71 | Applying alpha-rule on (452) yields:
% 22.11/5.71 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.11/5.71 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.11/5.71 | (422) ~ (all_0_12_12 = e1)
% 22.11/5.71 | (212) all_0_6_6 = e2
% 22.11/5.71 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.11/5.71 | (458) ~ (all_0_13_13 = e1)
% 22.11/5.71 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.11/5.71 | (460) ~ (all_0_9_9 = e1)
% 22.11/5.71 | (461) ~ (all_0_20_20 = e1)
% 22.11/5.71 | (462) ~ (all_0_11_11 = e1)
% 22.11/5.71 | (463) ~ (unit = e1)
% 22.11/5.71 | (464) ~ (all_0_4_4 = e1)
% 22.11/5.71 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (91), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (418) all_0_12_12 = e1
% 22.11/5.71 |
% 22.11/5.71 | Equations (418) can reduce 422 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (422) ~ (all_0_12_12 = e1)
% 22.11/5.71 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (423), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (429) all_0_13_13 = e1
% 22.11/5.71 |
% 22.11/5.71 | Equations (429) can reduce 458 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (458) ~ (all_0_13_13 = e1)
% 22.11/5.71 | (482) all_0_15_15 = e1
% 22.11/5.71 |
% 22.11/5.71 | Equations (482) can reduce 25 to:
% 22.11/5.71 | (462) ~ (all_0_11_11 = e1)
% 22.11/5.71 |
% 22.11/5.71 | Equations (482) can reduce 179 to:
% 22.11/5.71 | (458) ~ (all_0_13_13 = e1)
% 22.11/5.71 |
% 22.11/5.71 | Equations (482) can reduce 229 to:
% 22.11/5.71 | (530) ~ (e2 = e1)
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 530 yields:
% 22.11/5.71 | (114) ~ (e2 = e1)
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (150), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (360) all_0_12_12 = e4
% 22.11/5.71 |
% 22.11/5.71 | Equations (360) can reduce 80 to:
% 22.11/5.71 | (1663) ~ (all_0_0_0 = e4)
% 22.11/5.71 |
% 22.11/5.71 | Equations (360) can reduce 189 to:
% 22.11/5.71 | (1892) ~ (all_0_16_16 = e4)
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 1892 yields:
% 22.11/5.71 | (258) ~ (all_0_16_16 = e4)
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (302), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (429) all_0_13_13 = e1
% 22.11/5.71 |
% 22.11/5.71 | Equations (429) can reduce 458 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (458) ~ (all_0_13_13 = e1)
% 22.11/5.71 | (868) all_0_13_13 = e3
% 22.11/5.71 |
% 22.11/5.71 | Equations (868) can reduce 227 to:
% 22.11/5.71 | (183) ~ (e3 = e2)
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (164), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (611) all_0_8_8 = e1
% 22.11/5.71 |
% 22.11/5.71 | Combining equations (727,611) yields a new equation:
% 22.11/5.71 | (559) e2 = e1
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 559 yields:
% 22.11/5.71 | (560) e2 = e1
% 22.11/5.71 |
% 22.11/5.71 | Equations (560) can reduce 114 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (614) ~ (all_0_8_8 = e1)
% 22.11/5.71 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (2384), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (1290) all_0_9_9 = e1
% 22.11/5.71 |
% 22.11/5.71 | Equations (1290) can reduce 460 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (460) ~ (all_0_9_9 = e1)
% 22.11/5.71 | (2470) all_0_10_10 = e1 | all_0_11_11 = e1
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (2470), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (380) all_0_10_10 = e1
% 22.11/5.71 |
% 22.11/5.71 | Equations (380) can reduce 60 to:
% 22.11/5.71 | (460) ~ (all_0_9_9 = e1)
% 22.11/5.71 |
% 22.11/5.71 | Equations (380) can reduce 155 to:
% 22.11/5.71 | (2473) ~ (all_0_11_11 = e1)
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 2473 yields:
% 22.11/5.71 | (462) ~ (all_0_11_11 = e1)
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (2399), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (1290) all_0_9_9 = e1
% 22.11/5.71 |
% 22.11/5.71 | Equations (1290) can reduce 460 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (460) ~ (all_0_9_9 = e1)
% 22.11/5.71 | (326) all_0_9_9 = e0
% 22.11/5.71 |
% 22.11/5.71 | Equations (326) can reduce 14 to:
% 22.11/5.71 | (2479) ~ (all_0_11_11 = e0)
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 2479 yields:
% 22.11/5.71 | (2480) ~ (all_0_11_11 = e0)
% 22.11/5.71 |
% 22.11/5.71 | Equations (326) can reduce 56 to:
% 22.11/5.71 | (2481) ~ (all_0_17_17 = e0)
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 2481 yields:
% 22.11/5.71 | (2482) ~ (all_0_17_17 = e0)
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (42), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (818) all_0_11_11 = e2
% 22.11/5.71 |
% 22.11/5.71 | Equations (818) can reduce 313 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (313) ~ (all_0_11_11 = e2)
% 22.11/5.71 | (2486) all_0_11_11 = e4 | all_0_11_11 = e1 | all_0_11_11 = e0
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (2486), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (2395) all_0_11_11 = e4
% 22.11/5.71 |
% 22.11/5.71 | Equations (2395) can reduce 82 to:
% 22.11/5.71 | (392) ~ (all_0_4_4 = e4)
% 22.11/5.71 |
% 22.11/5.71 | Equations (2395) can reduce 30 to:
% 22.11/5.71 | (23) ~ (e4 = e3)
% 22.11/5.71 |
% 22.11/5.71 | Equations (2395) can reduce 2480 to:
% 22.11/5.71 | (4) ~ (e4 = e0)
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (48), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (1659) all_0_0_0 = e4
% 22.11/5.71 |
% 22.11/5.71 | Equations (1659) can reduce 1663 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (1663) ~ (all_0_0_0 = e4)
% 22.11/5.71 | (1664) all_0_2_2 = e4 | all_0_3_3 = e4 | all_0_4_4 = e4
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (1664), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (246) all_0_2_2 = e4
% 22.11/5.71 |
% 22.11/5.71 | Combining equations (246,236) yields a new equation:
% 22.11/5.71 | (247) e4 = e0
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 247 yields:
% 22.11/5.71 | (248) e4 = e0
% 22.11/5.71 |
% 22.11/5.71 | Equations (248) can reduce 4 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (250) ~ (all_0_2_2 = e4)
% 22.11/5.71 | (1702) all_0_3_3 = e4 | all_0_4_4 = e4
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (1702), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (364) all_0_3_3 = e4
% 22.11/5.71 |
% 22.11/5.71 | Equations (364) can reduce 135 to:
% 22.11/5.71 | (260) ~ (all_0_19_19 = e4)
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 260 yields:
% 22.11/5.71 | (261) ~ (all_0_19_19 = e4)
% 22.11/5.71 |
% 22.11/5.71 | Equations (364) can reduce 193 to:
% 22.11/5.71 | (4) ~ (e4 = e0)
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (140), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (372) all_0_3_3 = e3
% 22.11/5.71 |
% 22.11/5.71 | Combining equations (372,364) yields a new equation:
% 22.11/5.71 | (373) e4 = e3
% 22.11/5.71 |
% 22.11/5.71 | Equations (373) can reduce 23 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (375) ~ (all_0_3_3 = e3)
% 22.11/5.71 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (376), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (286) all_0_6_6 = e3
% 22.11/5.71 |
% 22.11/5.71 | Combining equations (286,212) yields a new equation:
% 22.11/5.71 | (400) e3 = e2
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 400 yields:
% 22.11/5.71 | (287) e3 = e2
% 22.11/5.71 |
% 22.11/5.71 | Equations (287) can reduce 183 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (289) ~ (all_0_6_6 = e3)
% 22.11/5.71 | (404) all_0_19_19 = e3
% 22.11/5.71 |
% 22.11/5.71 | Equations (404) can reduce 79 to:
% 22.11/5.71 | (405) ~ (all_0_16_16 = e3)
% 22.11/5.71 |
% 22.11/5.71 | Equations (404) can reduce 261 to:
% 22.11/5.71 | (408) ~ (e4 = e3)
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 408 yields:
% 22.11/5.71 | (23) ~ (e4 = e3)
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (167), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (1902) all_0_16_16 = e0
% 22.11/5.71 |
% 22.11/5.71 | Equations (1902) can reduce 276 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (276) ~ (all_0_16_16 = e0)
% 22.11/5.71 | (2522) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (154), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (532) all_0_16_16 = e2
% 22.11/5.71 |
% 22.11/5.71 | Equations (532) can reduce 542 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (542) ~ (all_0_16_16 = e2)
% 22.11/5.71 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (2522), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (330) all_0_17_17 = e0
% 22.11/5.71 |
% 22.11/5.71 | Equations (330) can reduce 2482 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (2482) ~ (all_0_17_17 = e0)
% 22.11/5.71 | (2530) all_0_18_18 = e0 | all_0_20_20 = e0
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (715), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (1894) all_0_16_16 = e4
% 22.11/5.71 |
% 22.11/5.71 | Equations (1894) can reduce 258 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (258) ~ (all_0_16_16 = e4)
% 22.11/5.71 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 22.11/5.71 |
% 22.11/5.71 +-Applying beta-rule and splitting (2530), into two cases.
% 22.11/5.71 |-Branch one:
% 22.11/5.71 | (832) all_0_18_18 = e0
% 22.11/5.71 |
% 22.11/5.71 | Combining equations (257,832) yields a new equation:
% 22.11/5.71 | (247) e4 = e0
% 22.11/5.71 |
% 22.11/5.71 | Simplifying 247 yields:
% 22.11/5.71 | (248) e4 = e0
% 22.11/5.71 |
% 22.11/5.71 | Equations (248) can reduce 4 to:
% 22.11/5.71 | (243) $false
% 22.11/5.71 |
% 22.11/5.71 |-The branch is then unsatisfiable
% 22.11/5.71 |-Branch two:
% 22.11/5.71 | (2539) ~ (all_0_18_18 = e0)
% 22.11/5.72 | (1492) all_0_20_20 = e0
% 22.11/5.72 |
% 22.11/5.72 | Equations (1492) can reduce 81 to:
% 22.11/5.72 | (276) ~ (all_0_16_16 = e0)
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (1897), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (621) all_0_16_16 = e1
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (453), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (525) ~ (all_0_16_16 = e1)
% 22.11/5.72 |
% 22.11/5.72 | Equations (621) can reduce 525 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (621) all_0_16_16 = e1
% 22.11/5.72 | (1225) all_0_19_19 = e4
% 22.11/5.72 |
% 22.11/5.72 | Combining equations (404,1225) yields a new equation:
% 22.11/5.72 | (373) e4 = e3
% 22.11/5.72 |
% 22.11/5.72 | Equations (373) can reduce 23 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (525) ~ (all_0_16_16 = e1)
% 22.11/5.72 | (1901) all_0_16_16 = e3 | all_0_16_16 = e0
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (1901), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (1902) all_0_16_16 = e0
% 22.11/5.72 |
% 22.11/5.72 | Equations (1902) can reduce 276 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (276) ~ (all_0_16_16 = e0)
% 22.11/5.72 | (1202) all_0_16_16 = e3
% 22.11/5.72 |
% 22.11/5.72 | Equations (1202) can reduce 405 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (1220) ~ (all_0_3_3 = e4)
% 22.11/5.72 | (630) all_0_4_4 = e4
% 22.11/5.72 |
% 22.11/5.72 | Equations (630) can reduce 392 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (2559) ~ (all_0_11_11 = e4)
% 22.11/5.72 | (2560) all_0_11_11 = e1 | all_0_11_11 = e0
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (2560), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (1145) all_0_11_11 = e1
% 22.11/5.72 |
% 22.11/5.72 | Equations (1145) can reduce 462 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (462) ~ (all_0_11_11 = e1)
% 22.11/5.72 | (343) all_0_11_11 = e0
% 22.11/5.72 |
% 22.11/5.72 | Equations (343) can reduce 2480 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (2075) ~ (all_0_10_10 = e1)
% 22.11/5.72 | (1145) all_0_11_11 = e1
% 22.11/5.72 |
% 22.11/5.72 | Equations (1145) can reduce 462 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (357) ~ (all_0_12_12 = e4)
% 22.11/5.72 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (363), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (252) all_0_14_14 = e4
% 22.11/5.72 |
% 22.11/5.72 | Combining equations (224,252) yields a new equation:
% 22.11/5.72 | (254) e4 = e2
% 22.11/5.72 |
% 22.11/5.72 | Equations (254) can reduce 194 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (256) ~ (all_0_14_14 = e4)
% 22.11/5.72 | (391) all_0_15_15 = e4
% 22.11/5.72 |
% 22.11/5.72 | Combining equations (482,391) yields a new equation:
% 22.11/5.72 | (494) e4 = e1
% 22.11/5.72 |
% 22.11/5.72 | Equations (494) can reduce 207 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.11/5.72 |
% 22.11/5.72 | Applying alpha-rule on (467) yields:
% 22.11/5.72 | (468) ~ (all_0_7_7 = e3)
% 22.11/5.72 | (405) ~ (all_0_16_16 = e3)
% 22.11/5.72 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.11/5.72 | (295) ~ (all_0_15_15 = e3)
% 22.11/5.72 | (472) ~ (all_0_12_12 = e3)
% 22.11/5.72 | (289) ~ (all_0_6_6 = e3)
% 22.11/5.72 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.11/5.72 | (475) ~ (unit = e3)
% 22.11/5.72 | (307) all_0_9_9 = e2
% 22.11/5.72 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.11/5.72 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.11/5.72 | (414) ~ (all_0_0_0 = e3)
% 22.11/5.72 |
% 22.11/5.72 | Equations (307) can reduce 2398 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.11/5.72 |
% 22.11/5.72 | Applying alpha-rule on (481) yields:
% 22.11/5.72 | (482) all_0_15_15 = e1
% 22.11/5.72 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.11/5.72 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.11/5.72 | (329) ~ (all_0_9_9 = e0)
% 22.11/5.72 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.11/5.72 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.11/5.72 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.11/5.72 | (489) ~ (unit = e0)
% 22.11/5.72 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.11/5.72 | (491) ~ (all_0_5_5 = e0)
% 22.11/5.72 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.11/5.72 |
% 22.11/5.72 | Equations (267) can reduce 491 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.11/5.72 |
% 22.11/5.72 | Applying alpha-rule on (496) yields:
% 22.11/5.72 | (308) ~ (all_0_1_1 = e2)
% 22.11/5.72 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.11/5.72 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.11/5.72 | (214) ~ (all_0_5_5 = e2)
% 22.11/5.72 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.11/5.72 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.11/5.72 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.11/5.72 | (213) ~ (all_0_3_3 = e2)
% 22.11/5.72 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.11/5.72 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.11/5.72 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.11/5.72 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.11/5.72 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.11/5.72 | (309) ~ (all_0_8_8 = e2)
% 22.11/5.72 | (220) ~ (all_0_19_19 = e2)
% 22.11/5.72 | (315) ~ (all_0_17_17 = e2)
% 22.11/5.72 | (216) ~ (all_0_7_7 = e2)
% 22.11/5.72 | (218) ~ (all_0_10_10 = e2)
% 22.11/5.72 | (227) ~ (all_0_13_13 = e2)
% 22.11/5.72 | (229) ~ (all_0_15_15 = e2)
% 22.11/5.72 | (313) ~ (all_0_11_11 = e2)
% 22.11/5.72 |
% 22.11/5.72 | Equations (727) can reduce 309 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (309) ~ (all_0_8_8 = e2)
% 22.11/5.72 | (2629) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (2629), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (307) all_0_9_9 = e2
% 22.11/5.72 |
% 22.11/5.72 | Equations (307) can reduce 2398 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (2398) ~ (all_0_9_9 = e2)
% 22.11/5.72 | (2633) all_0_10_10 = e2 | all_0_11_11 = e2
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (2633), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (303) all_0_10_10 = e2
% 22.11/5.72 |
% 22.11/5.72 | Equations (303) can reduce 218 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (218) ~ (all_0_10_10 = e2)
% 22.11/5.72 | (818) all_0_11_11 = e2
% 22.11/5.72 |
% 22.11/5.72 | Equations (818) can reduce 7 to:
% 22.11/5.72 | (309) ~ (all_0_8_8 = e2)
% 22.11/5.72 |
% 22.11/5.72 | Equations (818) can reduce 45 to:
% 22.11/5.72 | (782) ~ (all_0_20_20 = e2)
% 22.11/5.72 |
% 22.11/5.72 | Simplifying 782 yields:
% 22.11/5.72 | (522) ~ (all_0_20_20 = e2)
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (132), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (318) all_0_8_8 = e0
% 22.11/5.72 |
% 22.11/5.72 | Equations (318) can reduce 272 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (272) ~ (all_0_8_8 = e0)
% 22.11/5.72 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (321), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (326) all_0_9_9 = e0
% 22.11/5.72 |
% 22.11/5.72 | Equations (326) can reduce 3 to:
% 22.11/5.72 | (272) ~ (all_0_8_8 = e0)
% 22.11/5.72 |
% 22.11/5.72 | Equations (326) can reduce 60 to:
% 22.11/5.72 | (2647) ~ (all_0_10_10 = e0)
% 22.11/5.72 |
% 22.11/5.72 | Simplifying 2647 yields:
% 22.11/5.72 | (144) ~ (all_0_10_10 = e0)
% 22.11/5.72 |
% 22.11/5.72 | Equations (326) can reduce 56 to:
% 22.11/5.72 | (2481) ~ (all_0_17_17 = e0)
% 22.11/5.72 |
% 22.11/5.72 | Simplifying 2481 yields:
% 22.11/5.72 | (2482) ~ (all_0_17_17 = e0)
% 22.11/5.72 |
% 22.11/5.72 | Equations (326) can reduce 127 to:
% 22.11/5.72 | (334) ~ (e4 = e0)
% 22.11/5.72 |
% 22.11/5.72 | Simplifying 334 yields:
% 22.11/5.72 | (4) ~ (e4 = e0)
% 22.11/5.72 |
% 22.11/5.72 | From (326) and (44) follows:
% 22.11/5.72 | (2653) op(e2, e3) = e0
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (167), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (1902) all_0_16_16 = e0
% 22.11/5.72 |
% 22.11/5.72 | Equations (1902) can reduce 276 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (276) ~ (all_0_16_16 = e0)
% 22.11/5.72 | (2522) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (2522), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (330) all_0_17_17 = e0
% 22.11/5.72 |
% 22.11/5.72 | Equations (330) can reduce 2482 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (2482) ~ (all_0_17_17 = e0)
% 22.11/5.72 | (2530) all_0_18_18 = e0 | all_0_20_20 = e0
% 22.11/5.72 |
% 22.11/5.72 +-Applying beta-rule and splitting (2530), into two cases.
% 22.11/5.72 |-Branch one:
% 22.11/5.72 | (832) all_0_18_18 = e0
% 22.11/5.72 |
% 22.11/5.72 | Combining equations (832,257) yields a new equation:
% 22.11/5.72 | (248) e4 = e0
% 22.11/5.72 |
% 22.11/5.72 | Equations (248) can reduce 4 to:
% 22.11/5.72 | (243) $false
% 22.11/5.72 |
% 22.11/5.72 |-The branch is then unsatisfiable
% 22.11/5.72 |-Branch two:
% 22.11/5.72 | (2539) ~ (all_0_18_18 = e0)
% 22.11/5.72 | (1492) all_0_20_20 = e0
% 22.11/5.72 |
% 22.11/5.72 | Equations (1492) can reduce 81 to:
% 22.11/5.72 | (276) ~ (all_0_16_16 = e0)
% 22.11/5.73 |
% 22.11/5.73 | Equations (1492) can reduce 197 to:
% 22.11/5.73 | (2482) ~ (all_0_17_17 = e0)
% 22.11/5.73 |
% 22.11/5.73 | Equations (1492) can reduce 297 to:
% 22.11/5.73 | (240) ~ (e3 = e0)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 240 yields:
% 22.11/5.73 | (54) ~ (e3 = e0)
% 22.11/5.73 |
% 22.11/5.73 | Equations (1492) can reduce 522 to:
% 22.11/5.73 | (277) ~ (e2 = e0)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 277 yields:
% 22.11/5.73 | (39) ~ (e2 = e0)
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (72), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (433), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (434), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (435), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.11/5.73 |
% 22.11/5.73 | Applying alpha-rule on (436) yields:
% 22.11/5.73 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.11/5.73 | (438) ~ (unit = e4)
% 22.11/5.73 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.11/5.73 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.11/5.73 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.11/5.73 | (442) ~ (all_0_15_15 = e4)
% 22.11/5.73 | (280) all_0_5_5 = e3
% 22.11/5.73 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.11/5.73 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.11/5.73 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.11/5.73 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.11/5.73 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.11/5.73 |
% 22.11/5.73 | Combining equations (280,267) yields a new equation:
% 22.11/5.73 | (281) e3 = e0
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 281 yields:
% 22.11/5.73 | (282) e3 = e0
% 22.11/5.73 |
% 22.11/5.73 | Equations (282) can reduce 54 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.11/5.73 |
% 22.11/5.73 | Applying alpha-rule on (452) yields:
% 22.11/5.73 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.11/5.73 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.11/5.73 | (422) ~ (all_0_12_12 = e1)
% 22.11/5.73 | (212) all_0_6_6 = e2
% 22.11/5.73 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.11/5.73 | (458) ~ (all_0_13_13 = e1)
% 22.11/5.73 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.11/5.73 | (460) ~ (all_0_9_9 = e1)
% 22.11/5.73 | (461) ~ (all_0_20_20 = e1)
% 22.11/5.73 | (462) ~ (all_0_11_11 = e1)
% 22.11/5.73 | (463) ~ (unit = e1)
% 22.11/5.73 | (464) ~ (all_0_4_4 = e1)
% 22.11/5.73 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (91), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (418) all_0_12_12 = e1
% 22.11/5.73 |
% 22.11/5.73 | Equations (418) can reduce 422 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (422) ~ (all_0_12_12 = e1)
% 22.11/5.73 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (423), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (429) all_0_13_13 = e1
% 22.11/5.73 |
% 22.11/5.73 | Equations (429) can reduce 458 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (458) ~ (all_0_13_13 = e1)
% 22.11/5.73 | (482) all_0_15_15 = e1
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (150), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (360) all_0_12_12 = e4
% 22.11/5.73 |
% 22.11/5.73 | Equations (360) can reduce 174 to:
% 22.11/5.73 | (1227) ~ (all_0_8_8 = e4)
% 22.11/5.73 |
% 22.11/5.73 | Equations (360) can reduce 189 to:
% 22.11/5.73 | (1892) ~ (all_0_16_16 = e4)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 1892 yields:
% 22.11/5.73 | (258) ~ (all_0_16_16 = e4)
% 22.11/5.73 |
% 22.11/5.73 | Equations (360) can reduce 226 to:
% 22.11/5.73 | (194) ~ (e4 = e2)
% 22.11/5.73 |
% 22.11/5.73 | Equations (360) can reduce 210 to:
% 22.11/5.73 | (4) ~ (e4 = e0)
% 22.11/5.73 |
% 22.11/5.73 | From (360) and (103) follows:
% 22.11/5.73 | (566) op(e1, e4) = e4
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (198), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (727) all_0_8_8 = e2
% 22.11/5.73 |
% 22.11/5.73 | Equations (727) can reduce 309 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (309) ~ (all_0_8_8 = e2)
% 22.11/5.73 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (1232), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (353) all_0_8_8 = e4
% 22.11/5.73 |
% 22.11/5.73 | Equations (353) can reduce 1227 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (1227) ~ (all_0_8_8 = e4)
% 22.11/5.73 | (2388) all_0_8_8 = e1 | all_0_8_8 = e0
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (2388), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (611) all_0_8_8 = e1
% 22.11/5.73 |
% 22.11/5.73 | Equations (611) can reduce 38 to:
% 22.11/5.73 | (2730) ~ (all_0_10_10 = e1)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 2730 yields:
% 22.11/5.73 | (2075) ~ (all_0_10_10 = e1)
% 22.11/5.73 |
% 22.11/5.73 | Equations (611) can reduce 187 to:
% 22.11/5.73 | (906) ~ (all_0_16_16 = e1)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 906 yields:
% 22.11/5.73 | (525) ~ (all_0_16_16 = e1)
% 22.11/5.73 |
% 22.11/5.73 | Equations (611) can reduce 1227 to:
% 22.11/5.73 | (383) ~ (e4 = e1)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 383 yields:
% 22.11/5.73 | (207) ~ (e4 = e1)
% 22.11/5.73 |
% 22.11/5.73 | Equations (611) can reduce 117 to:
% 22.11/5.73 | (528) ~ (e3 = e1)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 528 yields:
% 22.11/5.73 | (111) ~ (e3 = e1)
% 22.11/5.73 |
% 22.11/5.73 | Equations (611) can reduce 272 to:
% 22.11/5.73 | (109) ~ (e1 = e0)
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (52), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (630) all_0_4_4 = e4
% 22.11/5.73 |
% 22.11/5.73 | Equations (630) can reduce 291 to:
% 22.11/5.73 | (23) ~ (e4 = e3)
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (129), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (413) all_0_12_12 = e3
% 22.11/5.73 |
% 22.11/5.73 | Combining equations (360,413) yields a new equation:
% 22.11/5.73 | (1217) e4 = e3
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 1217 yields:
% 22.11/5.73 | (373) e4 = e3
% 22.11/5.73 |
% 22.11/5.73 | Equations (373) can reduce 23 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (472) ~ (all_0_12_12 = e3)
% 22.11/5.73 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (306), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (377) all_0_10_10 = e4
% 22.11/5.73 |
% 22.11/5.73 | Equations (377) can reduce 87 to:
% 22.11/5.73 | (1220) ~ (all_0_3_3 = e4)
% 22.11/5.73 |
% 22.11/5.73 | Equations (377) can reduce 144 to:
% 22.11/5.73 | (4) ~ (e4 = e0)
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (871), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (868) all_0_13_13 = e3
% 22.11/5.73 |
% 22.11/5.73 | Equations (868) can reduce 19 to:
% 22.11/5.73 | (2751) ~ (all_0_17_17 = e3)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 2751 yields:
% 22.11/5.73 | (2752) ~ (all_0_17_17 = e3)
% 22.11/5.73 |
% 22.11/5.73 | Equations (868) can reduce 227 to:
% 22.11/5.73 | (183) ~ (e3 = e2)
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (18), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (523) all_0_20_20 = e1
% 22.11/5.73 |
% 22.11/5.73 | Combining equations (523,1492) yields a new equation:
% 22.11/5.73 | (587) e1 = e0
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 587 yields:
% 22.11/5.73 | (561) e1 = e0
% 22.11/5.73 |
% 22.11/5.73 | Equations (561) can reduce 109 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (461) ~ (all_0_20_20 = e1)
% 22.11/5.73 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (780), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (788) all_0_0_0 = e3
% 22.11/5.73 |
% 22.11/5.73 | Equations (788) can reduce 85 to:
% 22.11/5.73 | (2761) ~ (all_0_3_3 = e3)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 2761 yields:
% 22.11/5.73 | (375) ~ (all_0_3_3 = e3)
% 22.11/5.73 |
% 22.11/5.73 | Equations (788) can reduce 188 to:
% 22.11/5.73 | (1883) ~ (all_0_16_16 = e3)
% 22.11/5.73 |
% 22.11/5.73 | Simplifying 1883 yields:
% 22.11/5.73 | (405) ~ (all_0_16_16 = e3)
% 22.11/5.73 |
% 22.11/5.73 | Equations (788) can reduce 268 to:
% 22.11/5.73 | (54) ~ (e3 = e0)
% 22.11/5.73 |
% 22.11/5.73 | From (788) and (201) follows:
% 22.11/5.73 | (882) op(e4, e4) = e3
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (136), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (672) all_0_0_0 = e2
% 22.11/5.73 |
% 22.11/5.73 | Combining equations (672,788) yields a new equation:
% 22.11/5.73 | (287) e3 = e2
% 22.11/5.73 |
% 22.11/5.73 | Equations (287) can reduce 183 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (536) ~ (all_0_0_0 = e2)
% 22.11/5.73 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.11/5.73 |
% 22.11/5.73 | Equations (788) can reduce 536 to:
% 22.11/5.73 | (183) ~ (e3 = e2)
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (83), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (672) all_0_0_0 = e2
% 22.11/5.73 |
% 22.11/5.73 | Combining equations (672,788) yields a new equation:
% 22.11/5.73 | (287) e3 = e2
% 22.11/5.73 |
% 22.11/5.73 | Equations (287) can reduce 183 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (536) ~ (all_0_0_0 = e2)
% 22.11/5.73 | (711) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (64), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (755) all_0_3_3 = e2
% 22.11/5.73 |
% 22.11/5.73 | Equations (755) can reduce 213 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (213) ~ (all_0_3_3 = e2)
% 22.11/5.73 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (148), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (1202) all_0_16_16 = e3
% 22.11/5.73 |
% 22.11/5.73 | Equations (1202) can reduce 405 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (405) ~ (all_0_16_16 = e3)
% 22.11/5.73 | (2211) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 22.11/5.73 |
% 22.11/5.73 +-Applying beta-rule and splitting (2070), into two cases.
% 22.11/5.73 |-Branch one:
% 22.11/5.73 | (364) all_0_3_3 = e4
% 22.11/5.73 |
% 22.11/5.73 | Equations (364) can reduce 1220 to:
% 22.11/5.73 | (243) $false
% 22.11/5.73 |
% 22.11/5.73 |-The branch is then unsatisfiable
% 22.11/5.73 |-Branch two:
% 22.11/5.73 | (1220) ~ (all_0_3_3 = e4)
% 22.11/5.74 | (2377) all_0_3_3 = e3 | all_0_3_3 = e1
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (2377), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (695) all_0_3_3 = e1
% 22.11/5.74 |
% 22.11/5.74 | Equations (695) can reduce 47 to:
% 22.11/5.74 | (608) ~ (all_0_1_1 = e1)
% 22.11/5.74 |
% 22.11/5.74 | Equations (695) can reduce 135 to:
% 22.11/5.74 | (381) ~ (all_0_19_19 = e1)
% 22.11/5.74 |
% 22.11/5.74 | Simplifying 381 yields:
% 22.11/5.74 | (382) ~ (all_0_19_19 = e1)
% 22.11/5.74 |
% 22.11/5.74 | Equations (695) can reduce 193 to:
% 22.11/5.74 | (109) ~ (e1 = e0)
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (142), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (741) all_0_1_1 = e2
% 22.11/5.74 |
% 22.11/5.74 | From (741) and (133) follows:
% 22.11/5.74 | (2796) op(e4, e3) = e2
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (154), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (532) all_0_16_16 = e2
% 22.11/5.74 |
% 22.11/5.74 | Equations (532) can reduce 211 to:
% 22.11/5.74 | (314) ~ (all_0_17_17 = e2)
% 22.11/5.74 |
% 22.11/5.74 | Simplifying 314 yields:
% 22.11/5.74 | (315) ~ (all_0_17_17 = e2)
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (2211), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (1181) all_0_17_17 = e3
% 22.11/5.74 |
% 22.11/5.74 | Equations (1181) can reduce 2752 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (2752) ~ (all_0_17_17 = e3)
% 22.11/5.74 | (2803) all_0_19_19 = e3 | all_0_20_20 = e3
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (2803), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (404) all_0_19_19 = e3
% 22.11/5.74 |
% 22.11/5.74 | Equations (404) can reduce 22 to:
% 22.11/5.74 | (2752) ~ (all_0_17_17 = e3)
% 22.11/5.74 |
% 22.11/5.74 | From (404) and (168) follows:
% 22.11/5.74 | (412) op(e0, e1) = e3
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (59), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (1820) all_0_17_17 = e2
% 22.11/5.74 |
% 22.11/5.74 | Equations (1820) can reduce 315 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (315) ~ (all_0_17_17 = e2)
% 22.11/5.74 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (2810), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (1012) all_0_17_17 = e1
% 22.11/5.74 |
% 22.11/5.74 | Equations (1012) can reduce 2752 to:
% 22.11/5.74 | (528) ~ (e3 = e1)
% 22.11/5.74 |
% 22.11/5.74 | Simplifying 528 yields:
% 22.11/5.74 | (111) ~ (e3 = e1)
% 22.11/5.74 |
% 22.11/5.74 | Equations (1012) can reduce 2482 to:
% 22.11/5.74 | (109) ~ (e1 = e0)
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (46), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (548) unit = e2
% 22.11/5.74 |
% 22.11/5.74 | From (548) and (121) follows:
% 22.11/5.74 | (2816) op(e2, e3) = e3
% 22.11/5.74 |
% 22.11/5.74 | From (548) and (139) follows:
% 22.11/5.74 | (2817) op(e2, e2) = e2
% 22.11/5.74 |
% 22.11/5.74 | From (548) and (172) follows:
% 22.11/5.74 | (2818) op(e1, e2) = e1
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields:
% 22.11/5.74 | (282) e3 = e0
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 22.11/5.74 | (287) e3 = e2
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 22.11/5.74 | (560) e2 = e1
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (287,282) yields a new equation:
% 22.11/5.74 | (339) e2 = e0
% 22.11/5.74 |
% 22.11/5.74 | Simplifying 339 yields:
% 22.11/5.74 | (327) e2 = e0
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (327,560) yields a new equation:
% 22.11/5.74 | (561) e1 = e0
% 22.11/5.74 |
% 22.11/5.74 | Equations (561) can reduce 109 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (547) ~ (unit = e2)
% 22.11/5.74 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (551), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (552) unit = e4
% 22.11/5.74 |
% 22.11/5.74 | From (552) and (121) follows:
% 22.11/5.74 | (1035) op(e4, e3) = e3
% 22.11/5.74 |
% 22.11/5.74 | From (552) and (95) follows:
% 22.11/5.74 | (1036) op(e4, e4) = e4
% 22.11/5.74 |
% 22.11/5.74 | From (552) and (102) follows:
% 22.11/5.74 | (2831) op(e3, e4) = e3
% 22.11/5.74 |
% 22.11/5.74 | From (552) and (172) follows:
% 22.11/5.74 | (2832) op(e1, e4) = e1
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields:
% 22.11/5.74 | (373) e4 = e3
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e4, e3, e3, e2 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e2, yields:
% 22.11/5.74 | (287) e3 = e2
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields:
% 22.11/5.74 | (282) e3 = e0
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 22.11/5.74 | (494) e4 = e1
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (373,494) yields a new equation:
% 22.11/5.74 | (419) e3 = e1
% 22.11/5.74 |
% 22.11/5.74 | Simplifying 419 yields:
% 22.11/5.74 | (420) e3 = e1
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (282,287) yields a new equation:
% 22.11/5.74 | (327) e2 = e0
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (420,287) yields a new equation:
% 22.11/5.74 | (560) e2 = e1
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (560,327) yields a new equation:
% 22.11/5.74 | (587) e1 = e0
% 22.11/5.74 |
% 22.11/5.74 | Simplifying 587 yields:
% 22.11/5.74 | (561) e1 = e0
% 22.11/5.74 |
% 22.11/5.74 | Equations (561) can reduce 109 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (438) ~ (unit = e4)
% 22.11/5.74 | (564) unit = e3 | unit = e1 | unit = e0
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (564), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (565) unit = e1
% 22.11/5.74 |
% 22.11/5.74 | Equations (565) can reduce 463 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (463) ~ (unit = e1)
% 22.11/5.74 | (576) unit = e3 | unit = e0
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (576), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (577) unit = e0
% 22.11/5.74 |
% 22.11/5.74 | From (577) and (100) follows:
% 22.11/5.74 | (2851) op(e0, e1) = e1
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 22.11/5.74 | (420) e3 = e1
% 22.11/5.74 |
% 22.11/5.74 | Equations (420) can reduce 111 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (489) ~ (unit = e0)
% 22.11/5.74 | (591) unit = e3
% 22.11/5.74 |
% 22.11/5.74 | From (591) and (169) follows:
% 22.11/5.74 | (1079) op(e3, e4) = e4
% 22.11/5.74 |
% 22.11/5.74 | From (591) and (100) follows:
% 22.11/5.74 | (592) op(e3, e1) = e1
% 22.11/5.74 |
% 22.11/5.74 | From (591) and (95) follows:
% 22.11/5.74 | (2858) op(e4, e3) = e4
% 22.11/5.74 |
% 22.11/5.74 | From (591) and (102) follows:
% 22.11/5.74 | (1080) op(e3, e3) = e3
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 22.11/5.74 | (254) e4 = e2
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields:
% 22.11/5.74 | (248) e4 = e0
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 22.11/5.74 | (373) e4 = e3
% 22.11/5.74 |
% 22.11/5.74 | Instantiating formula (105) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields:
% 22.11/5.74 | (560) e2 = e1
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (248,373) yields a new equation:
% 22.11/5.74 | (282) e3 = e0
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (254,373) yields a new equation:
% 22.11/5.74 | (287) e3 = e2
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (287,282) yields a new equation:
% 22.11/5.74 | (339) e2 = e0
% 22.11/5.74 |
% 22.11/5.74 | Simplifying 339 yields:
% 22.11/5.74 | (327) e2 = e0
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (327,560) yields a new equation:
% 22.11/5.74 | (561) e1 = e0
% 22.11/5.74 |
% 22.11/5.74 | Equations (561) can reduce 109 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (1015) ~ (all_0_17_17 = e1)
% 22.11/5.74 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (2871), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (330) all_0_17_17 = e0
% 22.11/5.74 |
% 22.11/5.74 | Equations (330) can reduce 2482 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (2482) ~ (all_0_17_17 = e0)
% 22.11/5.74 | (1181) all_0_17_17 = e3
% 22.11/5.74 |
% 22.11/5.74 | Equations (1181) can reduce 2752 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (2877) ~ (all_0_19_19 = e3)
% 22.11/5.74 | (1495) all_0_20_20 = e3
% 22.11/5.74 |
% 22.11/5.74 | Combining equations (1495,1492) yields a new equation:
% 22.11/5.74 | (281) e3 = e0
% 22.11/5.74 |
% 22.11/5.74 | Simplifying 281 yields:
% 22.11/5.74 | (282) e3 = e0
% 22.11/5.74 |
% 22.11/5.74 | Equations (282) can reduce 54 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (542) ~ (all_0_16_16 = e2)
% 22.11/5.74 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (2211), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (1181) all_0_17_17 = e3
% 22.11/5.74 |
% 22.11/5.74 | Equations (1181) can reduce 2752 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (2752) ~ (all_0_17_17 = e3)
% 22.11/5.74 | (2803) all_0_19_19 = e3 | all_0_20_20 = e3
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (2803), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (404) all_0_19_19 = e3
% 22.11/5.74 |
% 22.11/5.74 | Equations (404) can reduce 79 to:
% 22.11/5.74 | (405) ~ (all_0_16_16 = e3)
% 22.11/5.74 |
% 22.11/5.74 +-Applying beta-rule and splitting (715), into two cases.
% 22.11/5.74 |-Branch one:
% 22.11/5.74 | (1894) all_0_16_16 = e4
% 22.11/5.74 |
% 22.11/5.74 | Equations (1894) can reduce 258 to:
% 22.11/5.74 | (243) $false
% 22.11/5.74 |
% 22.11/5.74 |-The branch is then unsatisfiable
% 22.11/5.74 |-Branch two:
% 22.11/5.74 | (258) ~ (all_0_16_16 = e4)
% 22.11/5.75 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (1897), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (621) all_0_16_16 = e1
% 22.11/5.75 |
% 22.11/5.75 | Equations (621) can reduce 525 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (525) ~ (all_0_16_16 = e1)
% 22.11/5.75 | (1901) all_0_16_16 = e3 | all_0_16_16 = e0
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (1901), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (1902) all_0_16_16 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (1902) can reduce 276 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (276) ~ (all_0_16_16 = e0)
% 22.11/5.75 | (1202) all_0_16_16 = e3
% 22.11/5.75 |
% 22.11/5.75 | Equations (1202) can reduce 405 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (2877) ~ (all_0_19_19 = e3)
% 22.11/5.75 | (1495) all_0_20_20 = e3
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (1495,1492) yields a new equation:
% 22.11/5.75 | (281) e3 = e0
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 281 yields:
% 22.11/5.75 | (282) e3 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (282) can reduce 54 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (308) ~ (all_0_1_1 = e2)
% 22.11/5.75 | (847) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (2211), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (1181) all_0_17_17 = e3
% 22.11/5.75 |
% 22.11/5.75 | Equations (1181) can reduce 2752 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (2752) ~ (all_0_17_17 = e3)
% 22.11/5.75 | (2803) all_0_19_19 = e3 | all_0_20_20 = e3
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (154), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (532) all_0_16_16 = e2
% 22.11/5.75 |
% 22.11/5.75 | Equations (532) can reduce 211 to:
% 22.11/5.75 | (314) ~ (all_0_17_17 = e2)
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 314 yields:
% 22.11/5.75 | (315) ~ (all_0_17_17 = e2)
% 22.11/5.75 |
% 22.11/5.75 | Equations (532) can reduce 258 to:
% 22.11/5.75 | (221) ~ (e4 = e2)
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 221 yields:
% 22.11/5.75 | (194) ~ (e4 = e2)
% 22.11/5.75 |
% 22.11/5.75 | Equations (532) can reduce 276 to:
% 22.11/5.75 | (39) ~ (e2 = e0)
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (2803), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (404) all_0_19_19 = e3
% 22.11/5.75 |
% 22.11/5.75 | Equations (404) can reduce 382 to:
% 22.11/5.75 | (111) ~ (e3 = e1)
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (29), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (741) all_0_1_1 = e2
% 22.11/5.75 |
% 22.11/5.75 | Equations (741) can reduce 308 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (308) ~ (all_0_1_1 = e2)
% 22.11/5.75 | (2925) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (9), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (605) all_0_1_1 = e1
% 22.11/5.75 |
% 22.11/5.75 | Equations (605) can reduce 608 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (608) ~ (all_0_1_1 = e1)
% 22.11/5.75 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (1277), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (1290) all_0_9_9 = e1
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (1290,326) yields a new equation:
% 22.11/5.75 | (587) e1 = e0
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 587 yields:
% 22.11/5.75 | (561) e1 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (561) can reduce 109 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (460) ~ (all_0_9_9 = e1)
% 22.11/5.75 | (1295) all_0_13_13 = e1 | all_0_17_17 = e1
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (1295), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (429) all_0_13_13 = e1
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (868,429) yields a new equation:
% 22.11/5.75 | (419) e3 = e1
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 419 yields:
% 22.11/5.75 | (420) e3 = e1
% 22.11/5.75 |
% 22.11/5.75 | Equations (420) can reduce 111 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (458) ~ (all_0_13_13 = e1)
% 22.11/5.75 | (1012) all_0_17_17 = e1
% 22.11/5.75 |
% 22.11/5.75 | Equations (1012) can reduce 315 to:
% 22.11/5.75 | (530) ~ (e2 = e1)
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 530 yields:
% 22.11/5.75 | (114) ~ (e2 = e1)
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (711), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (741) all_0_1_1 = e2
% 22.11/5.75 |
% 22.11/5.75 | Equations (741) can reduce 308 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (308) ~ (all_0_1_1 = e2)
% 22.11/5.75 | (745) all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (745), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (750) all_0_2_2 = e2
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (750,236) yields a new equation:
% 22.11/5.75 | (339) e2 = e0
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 339 yields:
% 22.11/5.75 | (327) e2 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (327) can reduce 39 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (225) ~ (all_0_2_2 = e2)
% 22.11/5.75 | (754) all_0_3_3 = e2 | all_0_4_4 = e2
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (754), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (755) all_0_3_3 = e2
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (695,755) yields a new equation:
% 22.11/5.75 | (560) e2 = e1
% 22.11/5.75 |
% 22.11/5.75 | Equations (560) can reduce 114 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (213) ~ (all_0_3_3 = e2)
% 22.11/5.75 | (535) all_0_4_4 = e2
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (535,630) yields a new equation:
% 22.11/5.75 | (254) e4 = e2
% 22.11/5.75 |
% 22.11/5.75 | Equations (254) can reduce 194 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (2877) ~ (all_0_19_19 = e3)
% 22.11/5.75 | (1495) all_0_20_20 = e3
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (1495,1492) yields a new equation:
% 22.11/5.75 | (281) e3 = e0
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 281 yields:
% 22.11/5.75 | (282) e3 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (282) can reduce 54 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (542) ~ (all_0_16_16 = e2)
% 22.11/5.75 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (2803), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (404) all_0_19_19 = e3
% 22.11/5.75 |
% 22.11/5.75 | Equations (404) can reduce 79 to:
% 22.11/5.75 | (405) ~ (all_0_16_16 = e3)
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (715), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (1894) all_0_16_16 = e4
% 22.11/5.75 |
% 22.11/5.75 | Equations (1894) can reduce 258 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (258) ~ (all_0_16_16 = e4)
% 22.11/5.75 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (1897), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (621) all_0_16_16 = e1
% 22.11/5.75 |
% 22.11/5.75 | Equations (621) can reduce 525 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (525) ~ (all_0_16_16 = e1)
% 22.11/5.75 | (1901) all_0_16_16 = e3 | all_0_16_16 = e0
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (1901), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (1902) all_0_16_16 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (1902) can reduce 276 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (276) ~ (all_0_16_16 = e0)
% 22.11/5.75 | (1202) all_0_16_16 = e3
% 22.11/5.75 |
% 22.11/5.75 | Equations (1202) can reduce 405 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (2877) ~ (all_0_19_19 = e3)
% 22.11/5.75 | (1495) all_0_20_20 = e3
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (1495,1492) yields a new equation:
% 22.11/5.75 | (281) e3 = e0
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 281 yields:
% 22.11/5.75 | (282) e3 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (282) can reduce 54 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (698) ~ (all_0_3_3 = e1)
% 22.11/5.75 | (372) all_0_3_3 = e3
% 22.11/5.75 |
% 22.11/5.75 | Equations (372) can reduce 375 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (414) ~ (all_0_0_0 = e3)
% 22.11/5.75 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (791), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 22.11/5.75 |
% 22.11/5.75 | Applying alpha-rule on (796) yields:
% 22.11/5.75 | (797) all_0_0_0 = e0
% 22.11/5.75 | (792) all_0_20_20 = e4
% 22.11/5.75 | (392) ~ (all_0_4_4 = e4)
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (792,1492) yields a new equation:
% 22.11/5.75 | (247) e4 = e0
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 247 yields:
% 22.11/5.75 | (248) e4 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (248) can reduce 4 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 22.11/5.75 |
% 22.11/5.75 | Applying alpha-rule on (801) yields:
% 22.11/5.75 | (797) all_0_0_0 = e0
% 22.11/5.75 | (792) all_0_20_20 = e4
% 22.11/5.75 | (276) ~ (all_0_16_16 = e0)
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (792,1492) yields a new equation:
% 22.11/5.75 | (247) e4 = e0
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 247 yields:
% 22.11/5.75 | (248) e4 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (248) can reduce 4 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (416) ~ (all_0_13_13 = e3)
% 22.11/5.75 | (1216) all_0_15_15 = e3
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (482,1216) yields a new equation:
% 22.11/5.75 | (420) e3 = e1
% 22.11/5.75 |
% 22.11/5.75 | Equations (420) can reduce 111 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (355) ~ (all_0_10_10 = e4)
% 22.11/5.75 | (380) all_0_10_10 = e1
% 22.11/5.75 |
% 22.11/5.75 | Equations (380) can reduce 2075 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (392) ~ (all_0_4_4 = e4)
% 22.11/5.75 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (2004), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (2395) all_0_11_11 = e4
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (818,2395) yields a new equation:
% 22.11/5.75 | (254) e4 = e2
% 22.11/5.75 |
% 22.11/5.75 | Equations (254) can reduce 194 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (2559) ~ (all_0_11_11 = e4)
% 22.11/5.75 | (3020) all_0_15_15 = e4 | all_0_20_20 = e4
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (3020), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (391) all_0_15_15 = e4
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (391,482) yields a new equation:
% 22.11/5.75 | (493) e4 = e1
% 22.11/5.75 |
% 22.11/5.75 | Simplifying 493 yields:
% 22.11/5.75 | (494) e4 = e1
% 22.11/5.75 |
% 22.11/5.75 | Equations (494) can reduce 207 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (442) ~ (all_0_15_15 = e4)
% 22.11/5.75 | (792) all_0_20_20 = e4
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (1492,792) yields a new equation:
% 22.11/5.75 | (248) e4 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (248) can reduce 4 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (614) ~ (all_0_8_8 = e1)
% 22.11/5.75 | (318) all_0_8_8 = e0
% 22.11/5.75 |
% 22.11/5.75 | Equations (318) can reduce 272 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (357) ~ (all_0_12_12 = e4)
% 22.11/5.75 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 22.11/5.75 |
% 22.11/5.75 +-Applying beta-rule and splitting (363), into two cases.
% 22.11/5.75 |-Branch one:
% 22.11/5.75 | (252) all_0_14_14 = e4
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (224,252) yields a new equation:
% 22.11/5.75 | (254) e4 = e2
% 22.11/5.75 |
% 22.11/5.75 | Equations (254) can reduce 194 to:
% 22.11/5.75 | (243) $false
% 22.11/5.75 |
% 22.11/5.75 |-The branch is then unsatisfiable
% 22.11/5.75 |-Branch two:
% 22.11/5.75 | (256) ~ (all_0_14_14 = e4)
% 22.11/5.75 | (391) all_0_15_15 = e4
% 22.11/5.75 |
% 22.11/5.75 | Combining equations (391,482) yields a new equation:
% 22.11/5.75 | (493) e4 = e1
% 22.11/5.76 |
% 22.11/5.76 | Simplifying 493 yields:
% 22.11/5.76 | (494) e4 = e1
% 22.11/5.76 |
% 22.11/5.76 | Equations (494) can reduce 207 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.11/5.76 |
% 22.11/5.76 | Applying alpha-rule on (467) yields:
% 22.11/5.76 | (468) ~ (all_0_7_7 = e3)
% 22.11/5.76 | (405) ~ (all_0_16_16 = e3)
% 22.11/5.76 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.11/5.76 | (295) ~ (all_0_15_15 = e3)
% 22.11/5.76 | (472) ~ (all_0_12_12 = e3)
% 22.11/5.76 | (289) ~ (all_0_6_6 = e3)
% 22.11/5.76 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.11/5.76 | (475) ~ (unit = e3)
% 22.11/5.76 | (307) all_0_9_9 = e2
% 22.11/5.76 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.11/5.76 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.11/5.76 | (414) ~ (all_0_0_0 = e3)
% 22.11/5.76 |
% 22.11/5.76 | Combining equations (326,307) yields a new equation:
% 22.11/5.76 | (327) e2 = e0
% 22.11/5.76 |
% 22.11/5.76 | Equations (327) can reduce 39 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.11/5.76 |
% 22.11/5.76 | Applying alpha-rule on (481) yields:
% 22.11/5.76 | (482) all_0_15_15 = e1
% 22.11/5.76 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.11/5.76 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.11/5.76 | (329) ~ (all_0_9_9 = e0)
% 22.11/5.76 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.11/5.76 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.11/5.76 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.11/5.76 | (489) ~ (unit = e0)
% 22.11/5.76 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.11/5.76 | (491) ~ (all_0_5_5 = e0)
% 22.11/5.76 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.11/5.76 |
% 22.11/5.76 | Equations (326) can reduce 329 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.11/5.76 |
% 22.11/5.76 | Applying alpha-rule on (496) yields:
% 22.11/5.76 | (308) ~ (all_0_1_1 = e2)
% 22.11/5.76 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.11/5.76 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.11/5.76 | (214) ~ (all_0_5_5 = e2)
% 22.11/5.76 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.11/5.76 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.11/5.76 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.11/5.76 | (213) ~ (all_0_3_3 = e2)
% 22.11/5.76 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.11/5.76 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.11/5.76 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.11/5.76 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.11/5.76 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.11/5.76 | (309) ~ (all_0_8_8 = e2)
% 22.11/5.76 | (220) ~ (all_0_19_19 = e2)
% 22.11/5.76 | (315) ~ (all_0_17_17 = e2)
% 22.11/5.76 | (216) ~ (all_0_7_7 = e2)
% 22.11/5.76 | (218) ~ (all_0_10_10 = e2)
% 22.11/5.76 | (227) ~ (all_0_13_13 = e2)
% 22.11/5.76 | (229) ~ (all_0_15_15 = e2)
% 22.11/5.76 | (313) ~ (all_0_11_11 = e2)
% 22.11/5.76 |
% 22.11/5.76 | Equations (818) can reduce 313 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (329) ~ (all_0_9_9 = e0)
% 22.11/5.76 | (343) all_0_11_11 = e0
% 22.11/5.76 |
% 22.11/5.76 | Combining equations (343,818) yields a new equation:
% 22.11/5.76 | (327) e2 = e0
% 22.11/5.76 |
% 22.11/5.76 | Equations (327) can reduce 39 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (491) ~ (all_0_5_5 = e0)
% 22.11/5.76 | (3098) all_0_7_7 = e0
% 22.11/5.76 |
% 22.11/5.76 | Equations (3098) can reduce 160 to:
% 22.11/5.76 | (344) ~ (all_0_4_4 = e0)
% 22.11/5.76 |
% 22.11/5.76 | Equations (3098) can reduce 131 to:
% 22.11/5.76 | (2479) ~ (all_0_11_11 = e0)
% 22.11/5.76 |
% 22.11/5.76 | Simplifying 2479 yields:
% 22.11/5.76 | (2480) ~ (all_0_11_11 = e0)
% 22.11/5.76 |
% 22.11/5.76 | Equations (3098) can reduce 216 to:
% 22.11/5.76 | (277) ~ (e2 = e0)
% 22.11/5.76 |
% 22.11/5.76 | Simplifying 277 yields:
% 22.11/5.76 | (39) ~ (e2 = e0)
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (134), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (280) all_0_5_5 = e3
% 22.11/5.76 |
% 22.11/5.76 | Equations (280) can reduce 15 to:
% 22.11/5.76 | (414) ~ (all_0_0_0 = e3)
% 22.11/5.76 |
% 22.11/5.76 | Equations (280) can reduce 125 to:
% 22.11/5.76 | (3106) ~ (all_0_8_8 = e3)
% 22.11/5.76 |
% 22.11/5.76 | Simplifying 3106 yields:
% 22.11/5.76 | (117) ~ (all_0_8_8 = e3)
% 22.11/5.76 |
% 22.11/5.76 | Equations (280) can reduce 92 to:
% 22.11/5.76 | (3108) ~ (all_0_12_12 = e3)
% 22.11/5.76 |
% 22.11/5.76 | Simplifying 3108 yields:
% 22.11/5.76 | (472) ~ (all_0_12_12 = e3)
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (18), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (523) all_0_20_20 = e1
% 22.11/5.76 |
% 22.11/5.76 | Equations (523) can reduce 26 to:
% 22.11/5.76 | (464) ~ (all_0_4_4 = e1)
% 22.11/5.76 |
% 22.11/5.76 | Equations (523) can reduce 45 to:
% 22.11/5.76 | (462) ~ (all_0_11_11 = e1)
% 22.11/5.76 |
% 22.11/5.76 | Equations (523) can reduce 40 to:
% 22.11/5.76 | (1154) ~ (all_0_15_15 = e1)
% 22.11/5.76 |
% 22.11/5.76 | Equations (523) can reduce 81 to:
% 22.11/5.76 | (525) ~ (all_0_16_16 = e1)
% 22.11/5.76 |
% 22.11/5.76 | Equations (523) can reduce 197 to:
% 22.11/5.76 | (1015) ~ (all_0_17_17 = e1)
% 22.11/5.76 |
% 22.11/5.76 | Equations (523) can reduce 158 to:
% 22.11/5.76 | (382) ~ (all_0_19_19 = e1)
% 22.11/5.76 |
% 22.11/5.76 | Equations (523) can reduce 263 to:
% 22.11/5.76 | (383) ~ (e4 = e1)
% 22.11/5.76 |
% 22.11/5.76 | Simplifying 383 yields:
% 22.11/5.76 | (207) ~ (e4 = e1)
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (65), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (1262) all_0_19_19 = e2
% 22.11/5.76 |
% 22.11/5.76 | Equations (1262) can reduce 220 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (220) ~ (all_0_19_19 = e2)
% 22.11/5.76 | (1265) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (1265), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (1225) all_0_19_19 = e4
% 22.11/5.76 |
% 22.11/5.76 | Equations (1225) can reduce 261 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (261) ~ (all_0_19_19 = e4)
% 22.11/5.76 | (1269) all_0_19_19 = e3 | all_0_19_19 = e1
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (1269), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (1017) all_0_19_19 = e1
% 22.11/5.76 |
% 22.11/5.76 | Equations (1017) can reduce 382 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (382) ~ (all_0_19_19 = e1)
% 22.11/5.76 | (404) all_0_19_19 = e3
% 22.11/5.76 |
% 22.11/5.76 | Equations (404) can reduce 135 to:
% 22.11/5.76 | (375) ~ (all_0_3_3 = e3)
% 22.11/5.76 |
% 22.11/5.76 | Equations (404) can reduce 22 to:
% 22.11/5.76 | (2752) ~ (all_0_17_17 = e3)
% 22.11/5.76 |
% 22.11/5.76 | Equations (404) can reduce 261 to:
% 22.11/5.76 | (408) ~ (e4 = e3)
% 22.11/5.76 |
% 22.11/5.76 | Simplifying 408 yields:
% 22.11/5.76 | (23) ~ (e4 = e3)
% 22.11/5.76 |
% 22.11/5.76 | Equations (404) can reduce 220 to:
% 22.11/5.76 | (183) ~ (e3 = e2)
% 22.11/5.76 |
% 22.11/5.76 | Equations (404) can reduce 382 to:
% 22.11/5.76 | (111) ~ (e3 = e1)
% 22.11/5.76 |
% 22.11/5.76 | Equations (404) can reduce 11 to:
% 22.11/5.76 | (54) ~ (e3 = e0)
% 22.11/5.76 |
% 22.11/5.76 | From (404) and (168) follows:
% 22.11/5.76 | (412) op(e0, e1) = e3
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (171), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (299) all_0_13_13 = e2
% 22.11/5.76 |
% 22.11/5.76 | Equations (299) can reduce 227 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (227) ~ (all_0_13_13 = e2)
% 22.11/5.76 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (108), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (303) all_0_10_10 = e2
% 22.11/5.76 |
% 22.11/5.76 | Equations (303) can reduce 218 to:
% 22.11/5.76 | (243) $false
% 22.11/5.76 |
% 22.11/5.76 |-The branch is then unsatisfiable
% 22.11/5.76 |-Branch two:
% 22.11/5.76 | (218) ~ (all_0_10_10 = e2)
% 22.11/5.76 | (306) all_0_10_10 = e4 | all_0_10_10 = e1
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (42), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (818) all_0_11_11 = e2
% 22.11/5.76 |
% 22.11/5.76 | Equations (818) can reduce 14 to:
% 22.11/5.76 | (2398) ~ (all_0_9_9 = e2)
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (72), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (433), into two cases.
% 22.11/5.76 |-Branch one:
% 22.11/5.76 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.11/5.76 |
% 22.11/5.76 +-Applying beta-rule and splitting (434), into two cases.
% 22.11/5.76 |-Branch one:
% 22.35/5.76 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.35/5.76 |
% 22.35/5.76 +-Applying beta-rule and splitting (435), into two cases.
% 22.35/5.76 |-Branch one:
% 22.35/5.76 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.35/5.76 |
% 22.35/5.76 | Applying alpha-rule on (436) yields:
% 22.35/5.76 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.35/5.76 | (438) ~ (unit = e4)
% 22.35/5.76 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.35/5.76 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.35/5.76 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.35/5.76 | (442) ~ (all_0_15_15 = e4)
% 22.35/5.76 | (280) all_0_5_5 = e3
% 22.35/5.76 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.35/5.76 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.35/5.76 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.35/5.76 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.35/5.76 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.35/5.76 |
% 22.35/5.76 +-Applying beta-rule and splitting (441), into two cases.
% 22.35/5.76 |-Branch one:
% 22.35/5.76 | (3165) ~ (all_0_18_18 = e4)
% 22.35/5.77 |
% 22.35/5.77 | Equations (257) can reduce 3165 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (257) all_0_18_18 = e4
% 22.35/5.77 | (532) all_0_16_16 = e2
% 22.35/5.77 |
% 22.35/5.77 | Equations (532) can reduce 187 to:
% 22.35/5.77 | (309) ~ (all_0_8_8 = e2)
% 22.35/5.77 |
% 22.35/5.77 | Equations (532) can reduce 211 to:
% 22.35/5.77 | (314) ~ (all_0_17_17 = e2)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 314 yields:
% 22.35/5.77 | (315) ~ (all_0_17_17 = e2)
% 22.35/5.77 |
% 22.35/5.77 | Equations (532) can reduce 258 to:
% 22.35/5.77 | (221) ~ (e4 = e2)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 221 yields:
% 22.35/5.77 | (194) ~ (e4 = e2)
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (150), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (360) all_0_12_12 = e4
% 22.35/5.77 |
% 22.35/5.77 | Equations (360) can reduce 174 to:
% 22.35/5.77 | (1227) ~ (all_0_8_8 = e4)
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (59), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (1820) all_0_17_17 = e2
% 22.35/5.77 |
% 22.35/5.77 | Equations (1820) can reduce 315 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (315) ~ (all_0_17_17 = e2)
% 22.35/5.77 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (2810), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (1012) all_0_17_17 = e1
% 22.35/5.77 |
% 22.35/5.77 | Equations (1012) can reduce 1015 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (1015) ~ (all_0_17_17 = e1)
% 22.35/5.77 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (2871), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (330) all_0_17_17 = e0
% 22.35/5.77 |
% 22.35/5.77 | Equations (330) can reduce 56 to:
% 22.35/5.77 | (329) ~ (all_0_9_9 = e0)
% 22.35/5.77 |
% 22.35/5.77 | Equations (330) can reduce 315 to:
% 22.35/5.77 | (277) ~ (e2 = e0)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 277 yields:
% 22.35/5.77 | (39) ~ (e2 = e0)
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (132), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (318) all_0_8_8 = e0
% 22.35/5.77 |
% 22.35/5.77 | Equations (318) can reduce 1227 to:
% 22.35/5.77 | (334) ~ (e4 = e0)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 334 yields:
% 22.35/5.77 | (4) ~ (e4 = e0)
% 22.35/5.77 |
% 22.35/5.77 | Equations (318) can reduce 309 to:
% 22.35/5.77 | (277) ~ (e2 = e0)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 277 yields:
% 22.35/5.77 | (39) ~ (e2 = e0)
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (29), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (741) all_0_1_1 = e2
% 22.35/5.77 |
% 22.35/5.77 | Equations (741) can reduce 47 to:
% 22.35/5.77 | (3194) ~ (all_0_3_3 = e2)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 3194 yields:
% 22.35/5.77 | (213) ~ (all_0_3_3 = e2)
% 22.35/5.77 |
% 22.35/5.77 | Equations (741) can reduce 159 to:
% 22.35/5.77 | (221) ~ (e4 = e2)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 221 yields:
% 22.35/5.77 | (194) ~ (e4 = e2)
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (49), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (353) all_0_8_8 = e4
% 22.35/5.77 |
% 22.35/5.77 | Combining equations (353,318) yields a new equation:
% 22.35/5.77 | (247) e4 = e0
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 247 yields:
% 22.35/5.77 | (248) e4 = e0
% 22.35/5.77 |
% 22.35/5.77 | Equations (248) can reduce 4 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (1227) ~ (all_0_8_8 = e4)
% 22.35/5.77 | (1228) all_0_10_10 = e4 | all_0_11_11 = e4
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (1228), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (377) all_0_10_10 = e4
% 22.35/5.77 |
% 22.35/5.77 | Equations (377) can reduce 87 to:
% 22.35/5.77 | (1220) ~ (all_0_3_3 = e4)
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (64), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (755) all_0_3_3 = e2
% 22.35/5.77 |
% 22.35/5.77 | Equations (755) can reduce 213 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (213) ~ (all_0_3_3 = e2)
% 22.35/5.77 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (2070), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (364) all_0_3_3 = e4
% 22.35/5.77 |
% 22.35/5.77 | Equations (364) can reduce 1220 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (1220) ~ (all_0_3_3 = e4)
% 22.35/5.77 | (2377) all_0_3_3 = e3 | all_0_3_3 = e1
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (2377), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (695) all_0_3_3 = e1
% 22.35/5.77 |
% 22.35/5.77 | Equations (695) can reduce 85 to:
% 22.35/5.77 | (595) ~ (all_0_0_0 = e1)
% 22.35/5.77 |
% 22.35/5.77 | Equations (695) can reduce 1220 to:
% 22.35/5.77 | (383) ~ (e4 = e1)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 383 yields:
% 22.35/5.77 | (207) ~ (e4 = e1)
% 22.35/5.77 |
% 22.35/5.77 | Equations (695) can reduce 213 to:
% 22.35/5.77 | (530) ~ (e2 = e1)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 530 yields:
% 22.35/5.77 | (114) ~ (e2 = e1)
% 22.35/5.77 |
% 22.35/5.77 | Equations (695) can reduce 193 to:
% 22.35/5.77 | (109) ~ (e1 = e0)
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (164), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (611) all_0_8_8 = e1
% 22.35/5.77 |
% 22.35/5.77 | Combining equations (318,611) yields a new equation:
% 22.35/5.77 | (561) e1 = e0
% 22.35/5.77 |
% 22.35/5.77 | Equations (561) can reduce 109 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (614) ~ (all_0_8_8 = e1)
% 22.35/5.77 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.35/5.77 |
% 22.35/5.77 | Equations (318) can reduce 614 to:
% 22.35/5.77 | (578) ~ (e1 = e0)
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 578 yields:
% 22.35/5.77 | (109) ~ (e1 = e0)
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (37), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (538) all_0_0_0 = e1
% 22.35/5.77 |
% 22.35/5.77 | Equations (538) can reduce 595 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (595) ~ (all_0_0_0 = e1)
% 22.35/5.77 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (600), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (611) all_0_8_8 = e1
% 22.35/5.77 |
% 22.35/5.77 | Combining equations (318,611) yields a new equation:
% 22.35/5.77 | (561) e1 = e0
% 22.35/5.77 |
% 22.35/5.77 | Equations (561) can reduce 109 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (614) ~ (all_0_8_8 = e1)
% 22.35/5.77 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (615), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (418) all_0_12_12 = e1
% 22.35/5.77 |
% 22.35/5.77 | Combining equations (360,418) yields a new equation:
% 22.35/5.77 | (493) e4 = e1
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 493 yields:
% 22.35/5.77 | (494) e4 = e1
% 22.35/5.77 |
% 22.35/5.77 | Equations (494) can reduce 207 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (422) ~ (all_0_12_12 = e1)
% 22.35/5.77 | (621) all_0_16_16 = e1
% 22.35/5.77 |
% 22.35/5.77 | Combining equations (532,621) yields a new equation:
% 22.35/5.77 | (559) e2 = e1
% 22.35/5.77 |
% 22.35/5.77 | Simplifying 559 yields:
% 22.35/5.77 | (560) e2 = e1
% 22.35/5.77 |
% 22.35/5.77 | Equations (560) can reduce 114 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (698) ~ (all_0_3_3 = e1)
% 22.35/5.77 | (372) all_0_3_3 = e3
% 22.35/5.77 |
% 22.35/5.77 | Equations (372) can reduce 375 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (355) ~ (all_0_10_10 = e4)
% 22.35/5.77 | (2395) all_0_11_11 = e4
% 22.35/5.77 |
% 22.35/5.77 | Combining equations (818,2395) yields a new equation:
% 22.35/5.77 | (254) e4 = e2
% 22.35/5.77 |
% 22.35/5.77 | Equations (254) can reduce 194 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (308) ~ (all_0_1_1 = e2)
% 22.35/5.77 | (2925) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (2925), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (307) all_0_9_9 = e2
% 22.35/5.77 |
% 22.35/5.77 | Equations (307) can reduce 2398 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (2398) ~ (all_0_9_9 = e2)
% 22.35/5.77 | (3258) all_0_13_13 = e2 | all_0_17_17 = e2
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (3258), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (299) all_0_13_13 = e2
% 22.35/5.77 |
% 22.35/5.77 | Equations (299) can reduce 227 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (227) ~ (all_0_13_13 = e2)
% 22.35/5.77 | (1820) all_0_17_17 = e2
% 22.35/5.77 |
% 22.35/5.77 | Combining equations (330,1820) yields a new equation:
% 22.35/5.77 | (327) e2 = e0
% 22.35/5.77 |
% 22.35/5.77 | Equations (327) can reduce 39 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (272) ~ (all_0_8_8 = e0)
% 22.35/5.77 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (321), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (326) all_0_9_9 = e0
% 22.35/5.77 |
% 22.35/5.77 | Equations (326) can reduce 329 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (329) ~ (all_0_9_9 = e0)
% 22.35/5.77 | (343) all_0_11_11 = e0
% 22.35/5.77 |
% 22.35/5.77 | Combining equations (343,818) yields a new equation:
% 22.35/5.77 | (327) e2 = e0
% 22.35/5.77 |
% 22.35/5.77 | Equations (327) can reduce 39 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (2482) ~ (all_0_17_17 = e0)
% 22.35/5.77 | (1181) all_0_17_17 = e3
% 22.35/5.77 |
% 22.35/5.77 | Equations (1181) can reduce 2752 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (357) ~ (all_0_12_12 = e4)
% 22.35/5.77 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 22.35/5.77 |
% 22.35/5.77 +-Applying beta-rule and splitting (363), into two cases.
% 22.35/5.77 |-Branch one:
% 22.35/5.77 | (252) all_0_14_14 = e4
% 22.35/5.77 |
% 22.35/5.77 | Combining equations (224,252) yields a new equation:
% 22.35/5.77 | (254) e4 = e2
% 22.35/5.77 |
% 22.35/5.77 | Equations (254) can reduce 194 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (256) ~ (all_0_14_14 = e4)
% 22.35/5.77 | (391) all_0_15_15 = e4
% 22.35/5.77 |
% 22.35/5.77 | Equations (391) can reduce 442 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.35/5.77 |
% 22.35/5.77 | Applying alpha-rule on (452) yields:
% 22.35/5.77 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.35/5.77 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.35/5.77 | (422) ~ (all_0_12_12 = e1)
% 22.35/5.77 | (212) all_0_6_6 = e2
% 22.35/5.77 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.35/5.77 | (458) ~ (all_0_13_13 = e1)
% 22.35/5.77 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.35/5.77 | (460) ~ (all_0_9_9 = e1)
% 22.35/5.77 | (461) ~ (all_0_20_20 = e1)
% 22.35/5.77 | (462) ~ (all_0_11_11 = e1)
% 22.35/5.77 | (463) ~ (unit = e1)
% 22.35/5.77 | (464) ~ (all_0_4_4 = e1)
% 22.35/5.77 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.35/5.77 |
% 22.35/5.77 | Equations (523) can reduce 461 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.35/5.77 |
% 22.35/5.77 | Applying alpha-rule on (467) yields:
% 22.35/5.77 | (468) ~ (all_0_7_7 = e3)
% 22.35/5.77 | (405) ~ (all_0_16_16 = e3)
% 22.35/5.77 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.35/5.77 | (295) ~ (all_0_15_15 = e3)
% 22.35/5.77 | (472) ~ (all_0_12_12 = e3)
% 22.35/5.77 | (289) ~ (all_0_6_6 = e3)
% 22.35/5.77 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.35/5.77 | (475) ~ (unit = e3)
% 22.35/5.77 | (307) all_0_9_9 = e2
% 22.35/5.77 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.35/5.77 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.35/5.77 | (414) ~ (all_0_0_0 = e3)
% 22.35/5.77 |
% 22.35/5.77 | Equations (307) can reduce 2398 to:
% 22.35/5.77 | (243) $false
% 22.35/5.77 |
% 22.35/5.77 |-The branch is then unsatisfiable
% 22.35/5.77 |-Branch two:
% 22.35/5.77 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.35/5.77 |
% 22.35/5.77 | Applying alpha-rule on (481) yields:
% 22.35/5.78 | (482) all_0_15_15 = e1
% 22.35/5.78 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.35/5.78 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.35/5.78 | (329) ~ (all_0_9_9 = e0)
% 22.35/5.78 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.35/5.78 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.35/5.78 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.35/5.78 | (489) ~ (unit = e0)
% 22.35/5.78 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.35/5.78 | (491) ~ (all_0_5_5 = e0)
% 22.35/5.78 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.35/5.78 |
% 22.35/5.78 | Equations (482) can reduce 1154 to:
% 22.35/5.78 | (243) $false
% 22.35/5.78 |
% 22.35/5.78 |-The branch is then unsatisfiable
% 22.35/5.78 |-Branch two:
% 22.35/5.78 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.35/5.78 |
% 22.35/5.78 | Applying alpha-rule on (496) yields:
% 22.35/5.78 | (308) ~ (all_0_1_1 = e2)
% 22.35/5.78 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.35/5.78 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.35/5.78 | (214) ~ (all_0_5_5 = e2)
% 22.35/5.78 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.35/5.78 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.35/5.78 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.35/5.78 | (213) ~ (all_0_3_3 = e2)
% 22.35/5.78 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.35/5.78 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.35/5.78 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.35/5.78 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.35/5.78 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.35/5.78 | (309) ~ (all_0_8_8 = e2)
% 22.35/5.78 | (220) ~ (all_0_19_19 = e2)
% 22.35/5.78 | (315) ~ (all_0_17_17 = e2)
% 22.35/5.78 | (216) ~ (all_0_7_7 = e2)
% 22.35/5.78 | (218) ~ (all_0_10_10 = e2)
% 22.35/5.78 | (227) ~ (all_0_13_13 = e2)
% 22.35/5.78 | (229) ~ (all_0_15_15 = e2)
% 22.35/5.78 | (313) ~ (all_0_11_11 = e2)
% 22.35/5.78 |
% 22.35/5.78 | Equations (818) can reduce 313 to:
% 22.35/5.78 | (243) $false
% 22.35/5.78 |
% 22.35/5.78 |-The branch is then unsatisfiable
% 22.35/5.78 |-Branch two:
% 22.35/5.78 | (313) ~ (all_0_11_11 = e2)
% 22.35/5.78 | (2486) all_0_11_11 = e4 | all_0_11_11 = e1 | all_0_11_11 = e0
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (138), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (535) all_0_4_4 = e2
% 22.35/5.78 |
% 22.35/5.78 | Equations (535) can reduce 86 to:
% 22.35/5.78 | (213) ~ (all_0_3_3 = e2)
% 22.35/5.78 |
% 22.35/5.78 | Equations (535) can reduce 344 to:
% 22.35/5.78 | (39) ~ (e2 = e0)
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (209), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (641) all_0_4_4 = e3
% 22.35/5.78 |
% 22.35/5.78 | Combining equations (641,535) yields a new equation:
% 22.35/5.78 | (400) e3 = e2
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 400 yields:
% 22.35/5.78 | (287) e3 = e2
% 22.35/5.78 |
% 22.35/5.78 | Equations (287) can reduce 183 to:
% 22.35/5.78 | (243) $false
% 22.35/5.78 |
% 22.35/5.78 |-The branch is then unsatisfiable
% 22.35/5.78 |-Branch two:
% 22.35/5.78 | (291) ~ (all_0_4_4 = e3)
% 22.35/5.78 | (3359) all_0_7_7 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3
% 22.35/5.78 |
% 22.35/5.78 | Equations (535) can reduce 291 to:
% 22.35/5.78 | (232) ~ (e3 = e2)
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 232 yields:
% 22.35/5.78 | (183) ~ (e3 = e2)
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (74), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (788) all_0_0_0 = e3
% 22.35/5.78 |
% 22.35/5.78 | Equations (788) can reduce 414 to:
% 22.35/5.78 | (243) $false
% 22.35/5.78 |
% 22.35/5.78 |-The branch is then unsatisfiable
% 22.35/5.78 |-Branch two:
% 22.35/5.78 | (414) ~ (all_0_0_0 = e3)
% 22.35/5.78 | (853) all_0_1_1 = e3 | all_0_3_3 = e3 | all_0_4_4 = e3
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (2486), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (2395) all_0_11_11 = e4
% 22.35/5.78 |
% 22.35/5.78 | Equations (2395) can reduce 14 to:
% 22.35/5.78 | (127) ~ (all_0_9_9 = e4)
% 22.35/5.78 |
% 22.35/5.78 | Equations (2395) can reduce 155 to:
% 22.35/5.78 | (355) ~ (all_0_10_10 = e4)
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (853), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (424) all_0_1_1 = e3
% 22.35/5.78 |
% 22.35/5.78 | Equations (424) can reduce 178 to:
% 22.35/5.78 | (414) ~ (all_0_0_0 = e3)
% 22.35/5.78 |
% 22.35/5.78 | Equations (424) can reduce 47 to:
% 22.35/5.78 | (2761) ~ (all_0_3_3 = e3)
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 2761 yields:
% 22.35/5.78 | (375) ~ (all_0_3_3 = e3)
% 22.35/5.78 |
% 22.35/5.78 | Equations (424) can reduce 110 to:
% 22.35/5.78 | (3373) ~ (all_0_9_9 = e3)
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 3373 yields:
% 22.35/5.78 | (58) ~ (all_0_9_9 = e3)
% 22.35/5.78 |
% 22.35/5.78 | Equations (424) can reduce 70 to:
% 22.35/5.78 | (415) ~ (all_0_13_13 = e3)
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 415 yields:
% 22.35/5.78 | (416) ~ (all_0_13_13 = e3)
% 22.35/5.78 |
% 22.35/5.78 | Equations (424) can reduce 73 to:
% 22.35/5.78 | (2751) ~ (all_0_17_17 = e3)
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 2751 yields:
% 22.35/5.78 | (2752) ~ (all_0_17_17 = e3)
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (129), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (413) all_0_12_12 = e3
% 22.35/5.78 |
% 22.35/5.78 | Equations (413) can reduce 472 to:
% 22.35/5.78 | (243) $false
% 22.35/5.78 |
% 22.35/5.78 |-The branch is then unsatisfiable
% 22.35/5.78 |-Branch two:
% 22.35/5.78 | (472) ~ (all_0_12_12 = e3)
% 22.35/5.78 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (871), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (868) all_0_13_13 = e3
% 22.35/5.78 |
% 22.35/5.78 | Equations (868) can reduce 416 to:
% 22.35/5.78 | (243) $false
% 22.35/5.78 |
% 22.35/5.78 |-The branch is then unsatisfiable
% 22.35/5.78 |-Branch two:
% 22.35/5.78 | (416) ~ (all_0_13_13 = e3)
% 22.35/5.78 | (1216) all_0_15_15 = e3
% 22.35/5.78 |
% 22.35/5.78 | Equations (1216) can reduce 179 to:
% 22.35/5.78 | (416) ~ (all_0_13_13 = e3)
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (306), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (377) all_0_10_10 = e4
% 22.35/5.78 |
% 22.35/5.78 | Equations (377) can reduce 355 to:
% 22.35/5.78 | (243) $false
% 22.35/5.78 |
% 22.35/5.78 |-The branch is then unsatisfiable
% 22.35/5.78 |-Branch two:
% 22.35/5.78 | (355) ~ (all_0_10_10 = e4)
% 22.35/5.78 | (380) all_0_10_10 = e1
% 22.35/5.78 |
% 22.35/5.78 | Equations (380) can reduce 87 to:
% 22.35/5.78 | (698) ~ (all_0_3_3 = e1)
% 22.35/5.78 |
% 22.35/5.78 | Equations (380) can reduce 38 to:
% 22.35/5.78 | (614) ~ (all_0_8_8 = e1)
% 22.35/5.78 |
% 22.35/5.78 | From (380) and (128) follows:
% 22.35/5.78 | (385) op(e2, e1) = e1
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (64), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (755) all_0_3_3 = e2
% 22.35/5.78 |
% 22.35/5.78 | Equations (755) can reduce 213 to:
% 22.35/5.78 | (243) $false
% 22.35/5.78 |
% 22.35/5.78 |-The branch is then unsatisfiable
% 22.35/5.78 |-Branch two:
% 22.35/5.78 | (213) ~ (all_0_3_3 = e2)
% 22.35/5.78 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (2070), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (364) all_0_3_3 = e4
% 22.35/5.78 |
% 22.35/5.78 | Equations (364) can reduce 375 to:
% 22.35/5.78 | (23) ~ (e4 = e3)
% 22.35/5.78 |
% 22.35/5.78 | Equations (364) can reduce 213 to:
% 22.35/5.78 | (194) ~ (e4 = e2)
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (302), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (429) all_0_13_13 = e1
% 22.35/5.78 |
% 22.35/5.78 | Equations (429) can reduce 137 to:
% 22.35/5.78 | (460) ~ (all_0_9_9 = e1)
% 22.35/5.78 |
% 22.35/5.78 | Equations (429) can reduce 88 to:
% 22.35/5.78 | (422) ~ (all_0_12_12 = e1)
% 22.35/5.78 |
% 22.35/5.78 | Equations (429) can reduce 19 to:
% 22.35/5.78 | (3405) ~ (all_0_17_17 = e1)
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 3405 yields:
% 22.35/5.78 | (1015) ~ (all_0_17_17 = e1)
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (186), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (732) all_0_12_12 = e2
% 22.35/5.78 |
% 22.35/5.78 | Equations (732) can reduce 226 to:
% 22.35/5.78 | (243) $false
% 22.35/5.78 |
% 22.35/5.78 |-The branch is then unsatisfiable
% 22.35/5.78 |-Branch two:
% 22.35/5.78 | (226) ~ (all_0_12_12 = e2)
% 22.35/5.78 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 22.35/5.78 |
% 22.35/5.78 +-Applying beta-rule and splitting (37), into two cases.
% 22.35/5.78 |-Branch one:
% 22.35/5.78 | (538) all_0_0_0 = e1
% 22.35/5.78 |
% 22.35/5.78 | Equations (538) can reduce 146 to:
% 22.35/5.78 | (3412) ~ (all_0_8_8 = e1)
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 3412 yields:
% 22.35/5.78 | (614) ~ (all_0_8_8 = e1)
% 22.35/5.78 |
% 22.35/5.78 | Equations (538) can reduce 188 to:
% 22.35/5.78 | (906) ~ (all_0_16_16 = e1)
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 906 yields:
% 22.35/5.78 | (525) ~ (all_0_16_16 = e1)
% 22.35/5.78 |
% 22.35/5.78 | Equations (538) can reduce 414 to:
% 22.35/5.78 | (528) ~ (e3 = e1)
% 22.35/5.78 |
% 22.35/5.78 | Simplifying 528 yields:
% 22.35/5.78 | (111) ~ (e3 = e1)
% 22.35/5.78 |
% 22.35/5.80 +-Applying beta-rule and splitting (875), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (360) all_0_12_12 = e4
% 22.35/5.80 |
% 22.35/5.80 | Equations (360) can reduce 174 to:
% 22.35/5.80 | (1227) ~ (all_0_8_8 = e4)
% 22.35/5.80 |
% 22.35/5.80 | Equations (360) can reduce 210 to:
% 22.35/5.80 | (4) ~ (e4 = e0)
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (202), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (307) all_0_9_9 = e2
% 22.35/5.80 |
% 22.35/5.80 | Equations (307) can reduce 56 to:
% 22.35/5.80 | (314) ~ (all_0_17_17 = e2)
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 314 yields:
% 22.35/5.80 | (315) ~ (all_0_17_17 = e2)
% 22.35/5.80 |
% 22.35/5.80 | Equations (307) can reduce 127 to:
% 22.35/5.80 | (221) ~ (e4 = e2)
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 221 yields:
% 22.35/5.80 | (194) ~ (e4 = e2)
% 22.35/5.80 |
% 22.35/5.80 | Equations (307) can reduce 58 to:
% 22.35/5.80 | (232) ~ (e3 = e2)
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 232 yields:
% 22.35/5.80 | (183) ~ (e3 = e2)
% 22.35/5.80 |
% 22.35/5.80 | Equations (307) can reduce 460 to:
% 22.35/5.80 | (114) ~ (e2 = e1)
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (132), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (318) all_0_8_8 = e0
% 22.35/5.80 |
% 22.35/5.80 | Equations (318) can reduce 187 to:
% 22.35/5.80 | (275) ~ (all_0_16_16 = e0)
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 275 yields:
% 22.35/5.80 | (276) ~ (all_0_16_16 = e0)
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (59), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (1820) all_0_17_17 = e2
% 22.35/5.80 |
% 22.35/5.80 | Equations (1820) can reduce 315 to:
% 22.35/5.80 | (243) $false
% 22.35/5.80 |
% 22.35/5.80 |-The branch is then unsatisfiable
% 22.35/5.80 |-Branch two:
% 22.35/5.80 | (315) ~ (all_0_17_17 = e2)
% 22.35/5.80 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (136), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (672) all_0_0_0 = e2
% 22.35/5.80 |
% 22.35/5.80 | Combining equations (672,538) yields a new equation:
% 22.35/5.80 | (559) e2 = e1
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 559 yields:
% 22.35/5.80 | (560) e2 = e1
% 22.35/5.80 |
% 22.35/5.80 | Equations (560) can reduce 114 to:
% 22.35/5.80 | (243) $false
% 22.35/5.80 |
% 22.35/5.80 |-The branch is then unsatisfiable
% 22.35/5.80 |-Branch two:
% 22.35/5.80 | (536) ~ (all_0_0_0 = e2)
% 22.35/5.80 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (154), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (532) all_0_16_16 = e2
% 22.35/5.80 |
% 22.35/5.80 | Equations (532) can reduce 211 to:
% 22.35/5.80 | (314) ~ (all_0_17_17 = e2)
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 314 yields:
% 22.35/5.80 | (315) ~ (all_0_17_17 = e2)
% 22.35/5.80 |
% 22.35/5.80 | Equations (532) can reduce 525 to:
% 22.35/5.80 | (114) ~ (e2 = e1)
% 22.35/5.80 |
% 22.35/5.80 | Equations (532) can reduce 276 to:
% 22.35/5.80 | (39) ~ (e2 = e0)
% 22.35/5.80 |
% 22.35/5.80 | From (532) and (101) follows:
% 22.35/5.80 | (534) op(e0, e4) = e2
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (167), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (1902) all_0_16_16 = e0
% 22.35/5.80 |
% 22.35/5.80 | Combining equations (532,1902) yields a new equation:
% 22.35/5.80 | (339) e2 = e0
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 339 yields:
% 22.35/5.80 | (327) e2 = e0
% 22.35/5.80 |
% 22.35/5.80 | Equations (327) can reduce 39 to:
% 22.35/5.80 | (243) $false
% 22.35/5.80 |
% 22.35/5.80 |-The branch is then unsatisfiable
% 22.35/5.80 |-Branch two:
% 22.35/5.80 | (276) ~ (all_0_16_16 = e0)
% 22.35/5.80 | (2522) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (2810), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (1012) all_0_17_17 = e1
% 22.35/5.80 |
% 22.35/5.80 | Equations (1012) can reduce 1015 to:
% 22.35/5.80 | (243) $false
% 22.35/5.80 |
% 22.35/5.80 |-The branch is then unsatisfiable
% 22.35/5.80 |-Branch two:
% 22.35/5.80 | (1015) ~ (all_0_17_17 = e1)
% 22.35/5.80 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (2522), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (330) all_0_17_17 = e0
% 22.35/5.80 |
% 22.35/5.80 | Equations (330) can reduce 315 to:
% 22.35/5.80 | (277) ~ (e2 = e0)
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 277 yields:
% 22.35/5.80 | (39) ~ (e2 = e0)
% 22.35/5.80 |
% 22.35/5.80 | Equations (330) can reduce 1015 to:
% 22.35/5.80 | (578) ~ (e1 = e0)
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 578 yields:
% 22.35/5.80 | (109) ~ (e1 = e0)
% 22.35/5.80 |
% 22.35/5.80 | From (330) and (208) follows:
% 22.35/5.80 | (3463) op(e0, e3) = e0
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (46), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (548) unit = e2
% 22.35/5.80 |
% 22.35/5.80 | From (548) and (102) follows:
% 22.35/5.80 | (3465) op(e3, e2) = e3
% 22.35/5.80 |
% 22.35/5.80 | From (548) and (139) follows:
% 22.35/5.80 | (2817) op(e2, e2) = e2
% 22.35/5.80 |
% 22.35/5.80 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 22.35/5.80 | (420) e3 = e1
% 22.35/5.80 |
% 22.35/5.80 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 22.35/5.80 | (287) e3 = e2
% 22.35/5.80 |
% 22.35/5.80 | Combining equations (287,420) yields a new equation:
% 22.35/5.80 | (559) e2 = e1
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 559 yields:
% 22.35/5.80 | (560) e2 = e1
% 22.35/5.80 |
% 22.35/5.80 | Equations (560) can reduce 114 to:
% 22.35/5.80 | (243) $false
% 22.35/5.80 |
% 22.35/5.80 |-The branch is then unsatisfiable
% 22.35/5.80 |-Branch two:
% 22.35/5.80 | (547) ~ (unit = e2)
% 22.35/5.80 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (551), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (552) unit = e4
% 22.35/5.80 |
% 22.35/5.80 | From (552) and (175) follows:
% 22.35/5.80 | (555) op(e0, e4) = e0
% 22.35/5.80 |
% 22.35/5.80 | Instantiating formula (105) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 22.35/5.80 | (327) e2 = e0
% 22.35/5.80 |
% 22.35/5.80 | Equations (327) can reduce 39 to:
% 22.35/5.80 | (243) $false
% 22.35/5.80 |
% 22.35/5.80 |-The branch is then unsatisfiable
% 22.35/5.80 |-Branch two:
% 22.35/5.80 | (438) ~ (unit = e4)
% 22.35/5.80 | (564) unit = e3 | unit = e1 | unit = e0
% 22.35/5.80 |
% 22.35/5.80 +-Applying beta-rule and splitting (564), into two cases.
% 22.35/5.80 |-Branch one:
% 22.35/5.80 | (565) unit = e1
% 22.35/5.80 |
% 22.35/5.80 | From (565) and (102) follows:
% 22.35/5.80 | (1053) op(e3, e1) = e3
% 22.35/5.80 |
% 22.35/5.80 | From (565) and (139) follows:
% 22.35/5.80 | (1054) op(e2, e1) = e2
% 22.35/5.80 |
% 22.35/5.80 | From (565) and (175) follows:
% 22.35/5.80 | (1055) op(e0, e1) = e0
% 22.35/5.80 |
% 22.35/5.80 | Instantiating formula (105) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 22.35/5.80 | (287) e3 = e2
% 22.35/5.80 |
% 22.35/5.80 | Instantiating formula (105) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 22.35/5.80 | (560) e2 = e1
% 22.35/5.80 |
% 22.35/5.80 | Instantiating formula (105) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 22.35/5.80 | (282) e3 = e0
% 22.35/5.80 |
% 22.35/5.80 | Combining equations (287,282) yields a new equation:
% 22.35/5.80 | (339) e2 = e0
% 22.35/5.80 |
% 22.35/5.80 | Simplifying 339 yields:
% 22.35/5.80 | (327) e2 = e0
% 22.35/5.80 |
% 22.35/5.81 | Combining equations (327,560) yields a new equation:
% 22.35/5.81 | (561) e1 = e0
% 22.35/5.81 |
% 22.35/5.81 | Equations (561) can reduce 109 to:
% 22.35/5.81 | (243) $false
% 22.35/5.81 |
% 22.35/5.81 |-The branch is then unsatisfiable
% 22.35/5.81 |-Branch two:
% 22.35/5.81 | (463) ~ (unit = e1)
% 22.35/5.81 | (576) unit = e3 | unit = e0
% 22.35/5.81 |
% 22.35/5.81 +-Applying beta-rule and splitting (576), into two cases.
% 22.35/5.81 |-Branch one:
% 22.35/5.81 | (577) unit = e0
% 22.35/5.81 |
% 22.35/5.81 | Equations (577) can reduce 463 to:
% 22.35/5.81 | (578) ~ (e1 = e0)
% 22.35/5.81 |
% 22.35/5.81 | Simplifying 578 yields:
% 22.35/5.81 | (109) ~ (e1 = e0)
% 22.35/5.81 |
% 22.35/5.81 | From (577) and (121) follows:
% 22.35/5.81 | (3496) op(e0, e3) = e3
% 22.35/5.81 |
% 22.35/5.81 | From (577) and (100) follows:
% 22.35/5.81 | (2851) op(e0, e1) = e1
% 22.35/5.81 |
% 22.35/5.81 | Instantiating formula (105) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields:
% 22.35/5.81 | (282) e3 = e0
% 22.35/5.81 |
% 22.35/5.81 | Instantiating formula (105) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 22.35/5.81 | (420) e3 = e1
% 22.35/5.81 |
% 22.35/5.81 | Combining equations (420,282) yields a new equation:
% 22.35/5.81 | (587) e1 = e0
% 22.35/5.81 |
% 22.35/5.81 | Simplifying 587 yields:
% 22.35/5.81 | (561) e1 = e0
% 22.35/5.81 |
% 22.35/5.81 | Equations (561) can reduce 109 to:
% 22.35/5.81 | (243) $false
% 22.35/5.81 |
% 22.35/5.81 |-The branch is then unsatisfiable
% 22.35/5.81 |-Branch two:
% 22.35/5.81 | (489) ~ (unit = e0)
% 22.35/5.81 | (591) unit = e3
% 22.35/5.81 |
% 22.35/5.81 | From (591) and (100) follows:
% 22.35/5.81 | (592) op(e3, e1) = e1
% 22.35/5.81 |
% 22.35/5.81 | Instantiating formula (105) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields:
% 22.35/5.81 | (560) e2 = e1
% 22.35/5.81 |
% 22.35/5.81 | Equations (560) can reduce 114 to:
% 22.35/5.81 | (243) $false
% 22.35/5.81 |
% 22.35/5.81 |-The branch is then unsatisfiable
% 22.35/5.81 |-Branch two:
% 22.35/5.81 | (2482) ~ (all_0_17_17 = e0)
% 22.35/5.81 | (2530) all_0_18_18 = e0 | all_0_20_20 = e0
% 22.35/5.81 |
% 22.35/5.81 +-Applying beta-rule and splitting (2871), into two cases.
% 22.35/5.81 |-Branch one:
% 22.35/5.81 | (330) all_0_17_17 = e0
% 22.35/5.81 |
% 22.35/5.81 | Equations (330) can reduce 2482 to:
% 22.35/5.81 | (243) $false
% 22.35/5.81 |
% 22.35/5.81 |-The branch is then unsatisfiable
% 22.35/5.81 |-Branch two:
% 22.35/5.81 | (2482) ~ (all_0_17_17 = e0)
% 22.35/5.81 | (1181) all_0_17_17 = e3
% 22.35/5.81 |
% 22.35/5.81 | Equations (1181) can reduce 2752 to:
% 22.35/5.81 | (243) $false
% 22.35/5.81 |
% 22.35/5.81 |-The branch is then unsatisfiable
% 22.35/5.81 |-Branch two:
% 22.35/5.81 | (542) ~ (all_0_16_16 = e2)
% 22.35/5.81 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 22.35/5.81 |
% 22.35/5.81 +-Applying beta-rule and splitting (72), into two cases.
% 22.35/5.81 |-Branch one:
% 22.35/5.81 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.35/5.81 |
% 22.35/5.81 +-Applying beta-rule and splitting (433), into two cases.
% 22.35/5.81 |-Branch one:
% 22.35/5.81 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.35/5.81 |
% 22.35/5.81 +-Applying beta-rule and splitting (434), into two cases.
% 22.35/5.81 |-Branch one:
% 22.35/5.81 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.35/5.81 |
% 22.35/5.81 +-Applying beta-rule and splitting (435), into two cases.
% 22.35/5.81 |-Branch one:
% 22.35/5.81 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.35/5.81 |
% 22.35/5.81 | Applying alpha-rule on (436) yields:
% 22.35/5.81 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.35/5.81 | (438) ~ (unit = e4)
% 22.35/5.81 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.35/5.81 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.35/5.81 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.35/5.81 | (442) ~ (all_0_15_15 = e4)
% 22.35/5.81 | (280) all_0_5_5 = e3
% 22.35/5.81 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.35/5.81 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.35/5.81 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.35/5.81 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.35/5.81 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.35/5.81 |
% 22.35/5.81 +-Applying beta-rule and splitting (120), into two cases.
% 22.35/5.81 |-Branch one:
% 22.35/5.81 | (532) all_0_16_16 = e2
% 22.35/5.81 |
% 22.35/5.81 | Equations (532) can reduce 542 to:
% 22.35/5.81 | (243) $false
% 22.35/5.81 |
% 22.35/5.81 |-The branch is then unsatisfiable
% 22.35/5.81 |-Branch two:
% 22.35/5.81 | (542) ~ (all_0_16_16 = e2)
% 22.35/5.81 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 22.35/5.81 |
% 22.35/5.81 +-Applying beta-rule and splitting (2810), into two cases.
% 22.35/5.81 |-Branch one:
% 22.35/5.81 | (1012) all_0_17_17 = e1
% 22.35/5.81 |
% 22.35/5.81 | Equations (1012) can reduce 1015 to:
% 22.35/5.81 | (243) $false
% 22.35/5.81 |
% 22.35/5.81 |-The branch is then unsatisfiable
% 22.35/5.81 |-Branch two:
% 22.35/5.81 | (1015) ~ (all_0_17_17 = e1)
% 22.35/5.81 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.35/5.81 |
% 22.35/5.81 +-Applying beta-rule and splitting (702), into two cases.
% 22.35/5.81 |-Branch one:
% 22.35/5.81 | (722) all_0_5_5 = e2
% 22.35/5.82 |
% 22.35/5.82 | Combining equations (280,722) yields a new equation:
% 22.35/5.82 | (400) e3 = e2
% 22.35/5.82 |
% 22.35/5.82 | Simplifying 400 yields:
% 22.35/5.82 | (287) e3 = e2
% 22.35/5.82 |
% 22.35/5.82 | Equations (287) can reduce 183 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (214) ~ (all_0_5_5 = e2)
% 22.35/5.82 | (726) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.35/5.82 |
% 22.35/5.82 +-Applying beta-rule and splitting (2871), into two cases.
% 22.35/5.82 |-Branch one:
% 22.35/5.82 | (330) all_0_17_17 = e0
% 22.35/5.82 |
% 22.35/5.82 | Equations (330) can reduce 315 to:
% 22.35/5.82 | (277) ~ (e2 = e0)
% 22.35/5.82 |
% 22.35/5.82 | Simplifying 277 yields:
% 22.35/5.82 | (39) ~ (e2 = e0)
% 22.35/5.82 |
% 22.35/5.82 +-Applying beta-rule and splitting (726), into two cases.
% 22.35/5.82 |-Branch one:
% 22.35/5.82 | (727) all_0_8_8 = e2
% 22.35/5.82 |
% 22.35/5.82 | Combining equations (727,318) yields a new equation:
% 22.35/5.82 | (339) e2 = e0
% 22.35/5.82 |
% 22.35/5.82 | Simplifying 339 yields:
% 22.35/5.82 | (327) e2 = e0
% 22.35/5.82 |
% 22.35/5.82 | Equations (327) can reduce 39 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (309) ~ (all_0_8_8 = e2)
% 22.35/5.82 | (731) all_0_12_12 = e2 | all_0_16_16 = e2
% 22.35/5.82 |
% 22.35/5.82 +-Applying beta-rule and splitting (731), into two cases.
% 22.35/5.82 |-Branch one:
% 22.35/5.82 | (732) all_0_12_12 = e2
% 22.35/5.82 |
% 22.35/5.82 | Combining equations (360,732) yields a new equation:
% 22.35/5.82 | (253) e4 = e2
% 22.35/5.82 |
% 22.35/5.82 | Simplifying 253 yields:
% 22.35/5.82 | (254) e4 = e2
% 22.35/5.82 |
% 22.35/5.82 | Equations (254) can reduce 194 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (226) ~ (all_0_12_12 = e2)
% 22.35/5.82 | (532) all_0_16_16 = e2
% 22.35/5.82 |
% 22.35/5.82 | Equations (532) can reduce 542 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (2482) ~ (all_0_17_17 = e0)
% 22.35/5.82 | (1181) all_0_17_17 = e3
% 22.35/5.82 |
% 22.35/5.82 | Equations (1181) can reduce 2752 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.35/5.82 |
% 22.35/5.82 | Applying alpha-rule on (452) yields:
% 22.35/5.82 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.35/5.82 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.35/5.82 | (422) ~ (all_0_12_12 = e1)
% 22.35/5.82 | (212) all_0_6_6 = e2
% 22.35/5.82 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.35/5.82 | (458) ~ (all_0_13_13 = e1)
% 22.35/5.82 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.35/5.82 | (460) ~ (all_0_9_9 = e1)
% 22.35/5.82 | (461) ~ (all_0_20_20 = e1)
% 22.35/5.82 | (462) ~ (all_0_11_11 = e1)
% 22.35/5.82 | (463) ~ (unit = e1)
% 22.35/5.82 | (464) ~ (all_0_4_4 = e1)
% 22.35/5.82 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.35/5.82 |
% 22.35/5.82 | Equations (523) can reduce 461 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.35/5.82 |
% 22.35/5.82 | Applying alpha-rule on (467) yields:
% 22.35/5.82 | (468) ~ (all_0_7_7 = e3)
% 22.35/5.82 | (405) ~ (all_0_16_16 = e3)
% 22.35/5.82 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.35/5.82 | (295) ~ (all_0_15_15 = e3)
% 22.35/5.82 | (472) ~ (all_0_12_12 = e3)
% 22.35/5.82 | (289) ~ (all_0_6_6 = e3)
% 22.35/5.82 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.35/5.82 | (475) ~ (unit = e3)
% 22.35/5.82 | (307) all_0_9_9 = e2
% 22.35/5.82 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.35/5.82 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.35/5.82 | (414) ~ (all_0_0_0 = e3)
% 22.35/5.82 |
% 22.35/5.82 | Equations (1216) can reduce 295 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.35/5.82 |
% 22.35/5.82 | Applying alpha-rule on (481) yields:
% 22.35/5.82 | (482) all_0_15_15 = e1
% 22.35/5.82 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.35/5.82 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.35/5.82 | (329) ~ (all_0_9_9 = e0)
% 22.35/5.82 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.35/5.82 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.35/5.82 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.35/5.82 | (489) ~ (unit = e0)
% 22.35/5.82 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.35/5.82 | (491) ~ (all_0_5_5 = e0)
% 22.35/5.82 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.35/5.82 |
% 22.35/5.82 | Combining equations (482,1216) yields a new equation:
% 22.35/5.82 | (420) e3 = e1
% 22.35/5.82 |
% 22.35/5.82 | Equations (420) can reduce 111 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.35/5.82 |
% 22.35/5.82 | Applying alpha-rule on (496) yields:
% 22.35/5.82 | (308) ~ (all_0_1_1 = e2)
% 22.35/5.82 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.35/5.82 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.35/5.82 | (214) ~ (all_0_5_5 = e2)
% 22.35/5.82 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.35/5.82 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.35/5.82 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.35/5.82 | (213) ~ (all_0_3_3 = e2)
% 22.35/5.82 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.35/5.82 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.35/5.82 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.35/5.82 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.35/5.82 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.35/5.82 | (309) ~ (all_0_8_8 = e2)
% 22.35/5.82 | (220) ~ (all_0_19_19 = e2)
% 22.35/5.82 | (315) ~ (all_0_17_17 = e2)
% 22.35/5.82 | (216) ~ (all_0_7_7 = e2)
% 22.35/5.82 | (218) ~ (all_0_10_10 = e2)
% 22.35/5.82 | (227) ~ (all_0_13_13 = e2)
% 22.35/5.82 | (229) ~ (all_0_15_15 = e2)
% 22.35/5.82 | (313) ~ (all_0_11_11 = e2)
% 22.35/5.82 |
% 22.35/5.82 | Equations (2395) can reduce 313 to:
% 22.35/5.82 | (194) ~ (e4 = e2)
% 22.35/5.82 |
% 22.35/5.82 | Equations (404) can reduce 220 to:
% 22.35/5.82 | (183) ~ (e3 = e2)
% 22.35/5.82 |
% 22.35/5.82 +-Applying beta-rule and splitting (120), into two cases.
% 22.35/5.82 |-Branch one:
% 22.35/5.82 | (532) all_0_16_16 = e2
% 22.35/5.82 |
% 22.35/5.82 | Equations (532) can reduce 542 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (542) ~ (all_0_16_16 = e2)
% 22.35/5.82 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 22.35/5.82 |
% 22.35/5.82 +-Applying beta-rule and splitting (2810), into two cases.
% 22.35/5.82 |-Branch one:
% 22.35/5.82 | (1012) all_0_17_17 = e1
% 22.35/5.82 |
% 22.35/5.82 | Equations (1012) can reduce 1015 to:
% 22.35/5.82 | (243) $false
% 22.35/5.82 |
% 22.35/5.82 |-The branch is then unsatisfiable
% 22.35/5.82 |-Branch two:
% 22.35/5.82 | (1015) ~ (all_0_17_17 = e1)
% 22.35/5.82 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.35/5.82 |
% 22.35/5.82 +-Applying beta-rule and splitting (702), into two cases.
% 22.35/5.82 |-Branch one:
% 22.35/5.82 | (722) all_0_5_5 = e2
% 22.35/5.82 |
% 22.35/5.82 | Combining equations (280,722) yields a new equation:
% 22.35/5.82 | (400) e3 = e2
% 22.35/5.82 |
% 22.35/5.82 | Simplifying 400 yields:
% 22.35/5.83 | (287) e3 = e2
% 22.35/5.83 |
% 22.35/5.83 | Equations (287) can reduce 183 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (214) ~ (all_0_5_5 = e2)
% 22.35/5.83 | (726) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (2871), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (330) all_0_17_17 = e0
% 22.35/5.83 |
% 22.35/5.83 | Equations (330) can reduce 315 to:
% 22.35/5.83 | (277) ~ (e2 = e0)
% 22.35/5.83 |
% 22.35/5.83 | Simplifying 277 yields:
% 22.35/5.83 | (39) ~ (e2 = e0)
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (726), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (727) all_0_8_8 = e2
% 22.35/5.83 |
% 22.35/5.83 | Combining equations (727,318) yields a new equation:
% 22.35/5.83 | (339) e2 = e0
% 22.35/5.83 |
% 22.35/5.83 | Simplifying 339 yields:
% 22.35/5.83 | (327) e2 = e0
% 22.35/5.83 |
% 22.35/5.83 | Equations (327) can reduce 39 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (309) ~ (all_0_8_8 = e2)
% 22.35/5.83 | (731) all_0_12_12 = e2 | all_0_16_16 = e2
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (731), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (732) all_0_12_12 = e2
% 22.35/5.83 |
% 22.35/5.83 | Combining equations (360,732) yields a new equation:
% 22.35/5.83 | (253) e4 = e2
% 22.35/5.83 |
% 22.35/5.83 | Simplifying 253 yields:
% 22.35/5.83 | (254) e4 = e2
% 22.35/5.83 |
% 22.35/5.83 | Equations (254) can reduce 194 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (226) ~ (all_0_12_12 = e2)
% 22.35/5.83 | (532) all_0_16_16 = e2
% 22.35/5.83 |
% 22.35/5.83 | Equations (532) can reduce 542 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (2482) ~ (all_0_17_17 = e0)
% 22.35/5.83 | (1181) all_0_17_17 = e3
% 22.35/5.83 |
% 22.35/5.83 | Equations (1181) can reduce 2752 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (272) ~ (all_0_8_8 = e0)
% 22.35/5.83 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (321), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (326) all_0_9_9 = e0
% 22.35/5.83 |
% 22.35/5.83 | Combining equations (307,326) yields a new equation:
% 22.35/5.83 | (339) e2 = e0
% 22.35/5.83 |
% 22.35/5.83 | Simplifying 339 yields:
% 22.35/5.83 | (327) e2 = e0
% 22.35/5.83 |
% 22.35/5.83 | Equations (327) can reduce 39 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (329) ~ (all_0_9_9 = e0)
% 22.35/5.83 | (343) all_0_11_11 = e0
% 22.35/5.83 |
% 22.35/5.83 | Combining equations (2395,343) yields a new equation:
% 22.35/5.83 | (247) e4 = e0
% 22.35/5.83 |
% 22.35/5.83 | Simplifying 247 yields:
% 22.35/5.83 | (248) e4 = e0
% 22.35/5.83 |
% 22.35/5.83 | Equations (248) can reduce 4 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (2398) ~ (all_0_9_9 = e2)
% 22.35/5.83 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (2), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (727) all_0_8_8 = e2
% 22.35/5.83 |
% 22.35/5.83 | Equations (727) can reduce 187 to:
% 22.35/5.83 | (1540) ~ (all_0_16_16 = e2)
% 22.35/5.83 |
% 22.35/5.83 | Simplifying 1540 yields:
% 22.35/5.83 | (542) ~ (all_0_16_16 = e2)
% 22.35/5.83 |
% 22.35/5.83 | Equations (727) can reduce 1227 to:
% 22.35/5.83 | (221) ~ (e4 = e2)
% 22.35/5.83 |
% 22.35/5.83 | Simplifying 221 yields:
% 22.35/5.83 | (194) ~ (e4 = e2)
% 22.35/5.83 |
% 22.35/5.83 | Equations (727) can reduce 117 to:
% 22.35/5.83 | (232) ~ (e3 = e2)
% 22.35/5.83 |
% 22.35/5.83 | Simplifying 232 yields:
% 22.35/5.83 | (183) ~ (e3 = e2)
% 22.35/5.83 |
% 22.35/5.83 | Equations (727) can reduce 614 to:
% 22.35/5.83 | (114) ~ (e2 = e1)
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (154), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (532) all_0_16_16 = e2
% 22.35/5.83 |
% 22.35/5.83 | Equations (532) can reduce 542 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (542) ~ (all_0_16_16 = e2)
% 22.35/5.83 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (120), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (532) all_0_16_16 = e2
% 22.35/5.83 |
% 22.35/5.83 | Equations (532) can reduce 542 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (542) ~ (all_0_16_16 = e2)
% 22.35/5.83 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (671), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (1820) all_0_17_17 = e2
% 22.35/5.83 |
% 22.35/5.83 | Equations (1820) can reduce 211 to:
% 22.35/5.83 | (542) ~ (all_0_16_16 = e2)
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (72), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (433), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (434), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (435), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.35/5.83 |
% 22.35/5.83 | Applying alpha-rule on (436) yields:
% 22.35/5.83 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.35/5.83 | (438) ~ (unit = e4)
% 22.35/5.83 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.35/5.83 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.35/5.83 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.35/5.83 | (442) ~ (all_0_15_15 = e4)
% 22.35/5.83 | (280) all_0_5_5 = e3
% 22.35/5.83 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.35/5.83 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.35/5.83 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.35/5.83 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.35/5.83 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.35/5.83 |
% 22.35/5.83 +-Applying beta-rule and splitting (441), into two cases.
% 22.35/5.83 |-Branch one:
% 22.35/5.83 | (3165) ~ (all_0_18_18 = e4)
% 22.35/5.83 |
% 22.35/5.83 | Equations (257) can reduce 3165 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (257) all_0_18_18 = e4
% 22.35/5.83 | (532) all_0_16_16 = e2
% 22.35/5.83 |
% 22.35/5.83 | Equations (532) can reduce 542 to:
% 22.35/5.83 | (243) $false
% 22.35/5.83 |
% 22.35/5.83 |-The branch is then unsatisfiable
% 22.35/5.83 |-Branch two:
% 22.35/5.83 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.35/5.83 |
% 22.35/5.83 | Applying alpha-rule on (452) yields:
% 22.35/5.83 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.35/5.83 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.35/5.83 | (422) ~ (all_0_12_12 = e1)
% 22.35/5.83 | (212) all_0_6_6 = e2
% 22.35/5.83 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.35/5.83 | (458) ~ (all_0_13_13 = e1)
% 22.35/5.83 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.35/5.83 | (460) ~ (all_0_9_9 = e1)
% 22.35/5.83 | (461) ~ (all_0_20_20 = e1)
% 22.35/5.83 | (462) ~ (all_0_11_11 = e1)
% 22.35/5.84 | (463) ~ (unit = e1)
% 22.35/5.84 | (464) ~ (all_0_4_4 = e1)
% 22.35/5.84 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.35/5.84 |
% 22.35/5.84 | Equations (523) can reduce 461 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.35/5.84 |
% 22.35/5.84 | Applying alpha-rule on (467) yields:
% 22.35/5.84 | (468) ~ (all_0_7_7 = e3)
% 22.35/5.84 | (405) ~ (all_0_16_16 = e3)
% 22.35/5.84 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.35/5.84 | (295) ~ (all_0_15_15 = e3)
% 22.35/5.84 | (472) ~ (all_0_12_12 = e3)
% 22.35/5.84 | (289) ~ (all_0_6_6 = e3)
% 22.35/5.84 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.35/5.84 | (475) ~ (unit = e3)
% 22.35/5.84 | (307) all_0_9_9 = e2
% 22.35/5.84 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.35/5.84 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.35/5.84 | (414) ~ (all_0_0_0 = e3)
% 22.35/5.84 |
% 22.35/5.84 | Equations (1216) can reduce 295 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.35/5.84 |
% 22.35/5.84 | Applying alpha-rule on (481) yields:
% 22.35/5.84 | (482) all_0_15_15 = e1
% 22.35/5.84 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.35/5.84 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.35/5.84 | (329) ~ (all_0_9_9 = e0)
% 22.35/5.84 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.35/5.84 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.35/5.84 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.35/5.84 | (489) ~ (unit = e0)
% 22.35/5.84 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.35/5.84 | (491) ~ (all_0_5_5 = e0)
% 22.35/5.84 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.35/5.84 |
% 22.35/5.84 | Combining equations (1216,482) yields a new equation:
% 22.35/5.84 | (419) e3 = e1
% 22.35/5.84 |
% 22.35/5.84 | Simplifying 419 yields:
% 22.35/5.84 | (420) e3 = e1
% 22.35/5.84 |
% 22.35/5.84 | Equations (420) can reduce 111 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.35/5.84 |
% 22.35/5.84 | Applying alpha-rule on (496) yields:
% 22.35/5.84 | (308) ~ (all_0_1_1 = e2)
% 22.35/5.84 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.35/5.84 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.35/5.84 | (214) ~ (all_0_5_5 = e2)
% 22.35/5.84 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.35/5.84 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.35/5.84 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.35/5.84 | (213) ~ (all_0_3_3 = e2)
% 22.35/5.84 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.35/5.84 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.35/5.84 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.35/5.84 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.35/5.84 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.35/5.84 | (309) ~ (all_0_8_8 = e2)
% 22.35/5.84 | (220) ~ (all_0_19_19 = e2)
% 22.35/5.84 | (315) ~ (all_0_17_17 = e2)
% 22.35/5.84 | (216) ~ (all_0_7_7 = e2)
% 22.35/5.84 | (218) ~ (all_0_10_10 = e2)
% 22.35/5.84 | (227) ~ (all_0_13_13 = e2)
% 22.35/5.84 | (229) ~ (all_0_15_15 = e2)
% 22.35/5.84 | (313) ~ (all_0_11_11 = e2)
% 22.35/5.84 |
% 22.35/5.84 | Equations (1820) can reduce 315 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (315) ~ (all_0_17_17 = e2)
% 22.35/5.84 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (1824), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (242) all_0_18_18 = e2
% 22.35/5.84 |
% 22.35/5.84 | Combining equations (257,242) yields a new equation:
% 22.35/5.84 | (253) e4 = e2
% 22.35/5.84 |
% 22.35/5.84 | Simplifying 253 yields:
% 22.35/5.84 | (254) e4 = e2
% 22.35/5.84 |
% 22.35/5.84 | Equations (254) can reduce 194 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (231) ~ (all_0_18_18 = e2)
% 22.35/5.84 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (1837), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (1262) all_0_19_19 = e2
% 22.35/5.84 |
% 22.35/5.84 | Combining equations (1262,404) yields a new equation:
% 22.35/5.84 | (287) e3 = e2
% 22.35/5.84 |
% 22.35/5.84 | Equations (287) can reduce 183 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (220) ~ (all_0_19_19 = e2)
% 22.35/5.84 | (784) all_0_20_20 = e2
% 22.35/5.84 |
% 22.35/5.84 | Combining equations (784,523) yields a new equation:
% 22.35/5.84 | (559) e2 = e1
% 22.35/5.84 |
% 22.35/5.84 | Simplifying 559 yields:
% 22.35/5.84 | (560) e2 = e1
% 22.35/5.84 |
% 22.35/5.84 | Equations (560) can reduce 114 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (309) ~ (all_0_8_8 = e2)
% 22.35/5.84 | (2629) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (198), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (727) all_0_8_8 = e2
% 22.35/5.84 |
% 22.35/5.84 | Equations (727) can reduce 309 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (309) ~ (all_0_8_8 = e2)
% 22.35/5.84 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (2399), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (1290) all_0_9_9 = e1
% 22.35/5.84 |
% 22.35/5.84 | Equations (1290) can reduce 460 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (460) ~ (all_0_9_9 = e1)
% 22.35/5.84 | (326) all_0_9_9 = e0
% 22.35/5.84 |
% 22.35/5.84 | Equations (326) can reduce 3 to:
% 22.35/5.84 | (272) ~ (all_0_8_8 = e0)
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (1232), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (353) all_0_8_8 = e4
% 22.35/5.84 |
% 22.35/5.84 | Equations (353) can reduce 1227 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (1227) ~ (all_0_8_8 = e4)
% 22.35/5.84 | (2388) all_0_8_8 = e1 | all_0_8_8 = e0
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (2388), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (611) all_0_8_8 = e1
% 22.35/5.84 |
% 22.35/5.84 | Equations (611) can reduce 614 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (614) ~ (all_0_8_8 = e1)
% 22.35/5.84 | (318) all_0_8_8 = e0
% 22.35/5.84 |
% 22.35/5.84 | Equations (318) can reduce 272 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (357) ~ (all_0_12_12 = e4)
% 22.35/5.84 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (150), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (360) all_0_12_12 = e4
% 22.35/5.84 |
% 22.35/5.84 | Equations (360) can reduce 357 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (357) ~ (all_0_12_12 = e4)
% 22.35/5.84 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (363), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (252) all_0_14_14 = e4
% 22.35/5.84 |
% 22.35/5.84 | Combining equations (224,252) yields a new equation:
% 22.35/5.84 | (254) e4 = e2
% 22.35/5.84 |
% 22.35/5.84 | Equations (254) can reduce 194 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (256) ~ (all_0_14_14 = e4)
% 22.35/5.84 | (391) all_0_15_15 = e4
% 22.35/5.84 |
% 22.35/5.84 | Combining equations (1216,391) yields a new equation:
% 22.35/5.84 | (373) e4 = e3
% 22.35/5.84 |
% 22.35/5.84 | Equations (373) can reduce 23 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (595) ~ (all_0_0_0 = e1)
% 22.35/5.84 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (150), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (360) all_0_12_12 = e4
% 22.35/5.84 |
% 22.35/5.84 | Equations (360) can reduce 422 to:
% 22.35/5.84 | (207) ~ (e4 = e1)
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (600), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (611) all_0_8_8 = e1
% 22.35/5.84 |
% 22.35/5.84 | Equations (611) can reduce 614 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.84 |-The branch is then unsatisfiable
% 22.35/5.84 |-Branch two:
% 22.35/5.84 | (614) ~ (all_0_8_8 = e1)
% 22.35/5.84 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 22.35/5.84 |
% 22.35/5.84 +-Applying beta-rule and splitting (615), into two cases.
% 22.35/5.84 |-Branch one:
% 22.35/5.84 | (418) all_0_12_12 = e1
% 22.35/5.84 |
% 22.35/5.84 | Combining equations (360,418) yields a new equation:
% 22.35/5.84 | (493) e4 = e1
% 22.35/5.84 |
% 22.35/5.84 | Simplifying 493 yields:
% 22.35/5.84 | (494) e4 = e1
% 22.35/5.84 |
% 22.35/5.84 | Equations (494) can reduce 207 to:
% 22.35/5.84 | (243) $false
% 22.35/5.84 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (422) ~ (all_0_12_12 = e1)
% 22.35/5.85 | (621) all_0_16_16 = e1
% 22.35/5.85 |
% 22.35/5.85 | Equations (621) can reduce 525 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (357) ~ (all_0_12_12 = e4)
% 22.35/5.85 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (363), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (252) all_0_14_14 = e4
% 22.35/5.85 |
% 22.35/5.85 | Combining equations (224,252) yields a new equation:
% 22.35/5.85 | (254) e4 = e2
% 22.35/5.85 |
% 22.35/5.85 | Equations (254) can reduce 194 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (256) ~ (all_0_14_14 = e4)
% 22.35/5.85 | (391) all_0_15_15 = e4
% 22.35/5.85 |
% 22.35/5.85 | Combining equations (1216,391) yields a new equation:
% 22.35/5.85 | (373) e4 = e3
% 22.35/5.85 |
% 22.35/5.85 | Equations (373) can reduce 23 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (458) ~ (all_0_13_13 = e1)
% 22.35/5.85 | (868) all_0_13_13 = e3
% 22.35/5.85 |
% 22.35/5.85 | Equations (868) can reduce 416 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (1220) ~ (all_0_3_3 = e4)
% 22.35/5.85 | (2377) all_0_3_3 = e3 | all_0_3_3 = e1
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (2377), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (695) all_0_3_3 = e1
% 22.35/5.85 |
% 22.35/5.85 | Equations (695) can reduce 698 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (698) ~ (all_0_3_3 = e1)
% 22.35/5.85 | (372) all_0_3_3 = e3
% 22.35/5.85 |
% 22.35/5.85 | Equations (372) can reduce 375 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (842) ~ (all_0_1_1 = e3)
% 22.35/5.85 | (857) all_0_3_3 = e3 | all_0_4_4 = e3
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (857), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (372) all_0_3_3 = e3
% 22.35/5.85 |
% 22.35/5.85 | Equations (372) can reduce 375 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (375) ~ (all_0_3_3 = e3)
% 22.35/5.85 | (641) all_0_4_4 = e3
% 22.35/5.85 |
% 22.35/5.85 | Combining equations (641,535) yields a new equation:
% 22.35/5.85 | (400) e3 = e2
% 22.35/5.85 |
% 22.35/5.85 | Simplifying 400 yields:
% 22.35/5.85 | (287) e3 = e2
% 22.35/5.85 |
% 22.35/5.85 | Equations (287) can reduce 183 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (2559) ~ (all_0_11_11 = e4)
% 22.35/5.85 | (2560) all_0_11_11 = e1 | all_0_11_11 = e0
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (3359), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (290) all_0_7_7 = e3
% 22.35/5.85 |
% 22.35/5.85 | Combining equations (3098,290) yields a new equation:
% 22.35/5.85 | (282) e3 = e0
% 22.35/5.85 |
% 22.35/5.85 | Equations (282) can reduce 54 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (468) ~ (all_0_7_7 = e3)
% 22.35/5.85 | (3883) all_0_15_15 = e3 | all_0_20_20 = e3
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (52), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (630) all_0_4_4 = e4
% 22.35/5.85 |
% 22.35/5.85 | Combining equations (630,535) yields a new equation:
% 22.35/5.85 | (253) e4 = e2
% 22.35/5.85 |
% 22.35/5.85 | Simplifying 253 yields:
% 22.35/5.85 | (254) e4 = e2
% 22.35/5.85 |
% 22.35/5.85 | Equations (254) can reduce 194 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (392) ~ (all_0_4_4 = e4)
% 22.35/5.85 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (3883), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (1216) all_0_15_15 = e3
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (2004), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (2395) all_0_11_11 = e4
% 22.35/5.85 |
% 22.35/5.85 | Equations (2395) can reduce 2559 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (2559) ~ (all_0_11_11 = e4)
% 22.35/5.85 | (3020) all_0_15_15 = e4 | all_0_20_20 = e4
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (3020), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (391) all_0_15_15 = e4
% 22.35/5.85 |
% 22.35/5.85 | Combining equations (1216,391) yields a new equation:
% 22.35/5.85 | (373) e4 = e3
% 22.35/5.85 |
% 22.35/5.85 | Equations (373) can reduce 23 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (442) ~ (all_0_15_15 = e4)
% 22.35/5.85 | (792) all_0_20_20 = e4
% 22.35/5.85 |
% 22.35/5.85 | Combining equations (792,523) yields a new equation:
% 22.35/5.85 | (493) e4 = e1
% 22.35/5.85 |
% 22.35/5.85 | Simplifying 493 yields:
% 22.35/5.85 | (494) e4 = e1
% 22.35/5.85 |
% 22.35/5.85 | Equations (494) can reduce 207 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (295) ~ (all_0_15_15 = e3)
% 22.35/5.85 | (1495) all_0_20_20 = e3
% 22.35/5.85 |
% 22.35/5.85 | Combining equations (1495,523) yields a new equation:
% 22.35/5.85 | (419) e3 = e1
% 22.35/5.85 |
% 22.35/5.85 | Simplifying 419 yields:
% 22.35/5.85 | (420) e3 = e1
% 22.35/5.85 |
% 22.35/5.85 | Equations (420) can reduce 111 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (625) ~ (all_0_4_4 = e2)
% 22.35/5.85 | (740) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (2486), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (2395) all_0_11_11 = e4
% 22.35/5.85 |
% 22.35/5.85 | Equations (2395) can reduce 155 to:
% 22.35/5.85 | (355) ~ (all_0_10_10 = e4)
% 22.35/5.85 |
% 22.35/5.85 | Equations (2395) can reduce 25 to:
% 22.35/5.85 | (3912) ~ (all_0_15_15 = e4)
% 22.35/5.85 |
% 22.35/5.85 | Simplifying 3912 yields:
% 22.35/5.85 | (442) ~ (all_0_15_15 = e4)
% 22.35/5.85 |
% 22.35/5.85 | Equations (2395) can reduce 462 to:
% 22.35/5.85 | (207) ~ (e4 = e1)
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (115), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (364) all_0_3_3 = e4
% 22.35/5.85 |
% 22.35/5.85 | Equations (364) can reduce 213 to:
% 22.35/5.85 | (194) ~ (e4 = e2)
% 22.35/5.85 |
% 22.35/5.85 +-Applying beta-rule and splitting (104), into two cases.
% 22.35/5.85 |-Branch one:
% 22.35/5.85 | (695) all_0_3_3 = e1
% 22.35/5.85 |
% 22.35/5.85 | Combining equations (695,364) yields a new equation:
% 22.35/5.85 | (494) e4 = e1
% 22.35/5.85 |
% 22.35/5.85 | Equations (494) can reduce 207 to:
% 22.35/5.85 | (243) $false
% 22.35/5.85 |
% 22.35/5.85 |-The branch is then unsatisfiable
% 22.35/5.85 |-Branch two:
% 22.35/5.85 | (698) ~ (all_0_3_3 = e1)
% 22.35/5.85 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 22.35/5.85 |
% 22.35/5.85 | Equations (364) can reduce 698 to:
% 22.35/5.85 | (207) ~ (e4 = e1)
% 22.67/5.85 |
% 22.67/5.85 +-Applying beta-rule and splitting (740), into two cases.
% 22.67/5.85 |-Branch one:
% 22.67/5.85 | (812) all_0_7_7 = e2
% 22.67/5.85 |
% 22.67/5.85 | Combining equations (3098,812) yields a new equation:
% 22.67/5.85 | (327) e2 = e0
% 22.67/5.85 |
% 22.67/5.85 | Equations (327) can reduce 39 to:
% 22.67/5.85 | (243) $false
% 22.67/5.85 |
% 22.67/5.85 |-The branch is then unsatisfiable
% 22.67/5.85 |-Branch two:
% 22.67/5.85 | (216) ~ (all_0_7_7 = e2)
% 22.67/5.85 | (817) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 22.67/5.85 |
% 22.67/5.85 +-Applying beta-rule and splitting (817), into two cases.
% 22.67/5.85 |-Branch one:
% 22.67/5.85 | (818) all_0_11_11 = e2
% 22.67/5.85 |
% 22.67/5.85 | Combining equations (2395,818) yields a new equation:
% 22.67/5.85 | (253) e4 = e2
% 22.67/5.85 |
% 22.67/5.85 | Simplifying 253 yields:
% 22.67/5.85 | (254) e4 = e2
% 22.67/5.85 |
% 22.67/5.85 | Equations (254) can reduce 194 to:
% 22.67/5.85 | (243) $false
% 22.67/5.85 |
% 22.67/5.85 |-The branch is then unsatisfiable
% 22.67/5.85 |-Branch two:
% 22.67/5.85 | (313) ~ (all_0_11_11 = e2)
% 22.67/5.85 | (822) all_0_15_15 = e2 | all_0_20_20 = e2
% 22.67/5.85 |
% 22.67/5.85 | Equations (2395) can reduce 313 to:
% 22.67/5.85 | (194) ~ (e4 = e2)
% 22.67/5.85 |
% 22.67/5.85 +-Applying beta-rule and splitting (150), into two cases.
% 22.67/5.85 |-Branch one:
% 22.67/5.85 | (360) all_0_12_12 = e4
% 22.67/5.85 |
% 22.67/5.85 | Equations (360) can reduce 80 to:
% 22.67/5.86 | (1663) ~ (all_0_0_0 = e4)
% 22.67/5.86 |
% 22.67/5.86 | Equations (360) can reduce 88 to:
% 22.67/5.86 | (3937) ~ (all_0_13_13 = e4)
% 22.67/5.86 |
% 22.67/5.86 | Simplifying 3937 yields:
% 22.67/5.86 | (97) ~ (all_0_13_13 = e4)
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (91), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (418) all_0_12_12 = e1
% 22.67/5.86 |
% 22.67/5.86 | Combining equations (360,418) yields a new equation:
% 22.67/5.86 | (493) e4 = e1
% 22.67/5.86 |
% 22.67/5.86 | Simplifying 493 yields:
% 22.67/5.86 | (494) e4 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (494) can reduce 207 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (422) ~ (all_0_12_12 = e1)
% 22.67/5.86 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (423), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (429) all_0_13_13 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (429) can reduce 70 to:
% 22.67/5.86 | (608) ~ (all_0_1_1 = e1)
% 22.67/5.86 |
% 22.67/5.86 | Equations (429) can reduce 137 to:
% 22.67/5.86 | (460) ~ (all_0_9_9 = e1)
% 22.67/5.86 |
% 22.67/5.86 | Equations (429) can reduce 97 to:
% 22.67/5.86 | (383) ~ (e4 = e1)
% 22.67/5.86 |
% 22.67/5.86 | Simplifying 383 yields:
% 22.67/5.86 | (207) ~ (e4 = e1)
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (107), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (538) all_0_0_0 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (538) can reduce 146 to:
% 22.67/5.86 | (3412) ~ (all_0_8_8 = e1)
% 22.67/5.86 |
% 22.67/5.86 | Simplifying 3412 yields:
% 22.67/5.86 | (614) ~ (all_0_8_8 = e1)
% 22.67/5.86 |
% 22.67/5.86 | Equations (538) can reduce 1663 to:
% 22.67/5.86 | (383) ~ (e4 = e1)
% 22.67/5.86 |
% 22.67/5.86 | Simplifying 383 yields:
% 22.67/5.86 | (207) ~ (e4 = e1)
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (164), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (611) all_0_8_8 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (611) can reduce 614 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (614) ~ (all_0_8_8 = e1)
% 22.67/5.86 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (2384), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (1290) all_0_9_9 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (1290) can reduce 460 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (460) ~ (all_0_9_9 = e1)
% 22.67/5.86 | (2470) all_0_10_10 = e1 | all_0_11_11 = e1
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (2470), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (380) all_0_10_10 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (380) can reduce 218 to:
% 22.67/5.86 | (530) ~ (e2 = e1)
% 22.67/5.86 |
% 22.67/5.86 | Simplifying 530 yields:
% 22.67/5.86 | (114) ~ (e2 = e1)
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (83), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (672) all_0_0_0 = e2
% 22.67/5.86 |
% 22.67/5.86 | Combining equations (672,538) yields a new equation:
% 22.67/5.86 | (559) e2 = e1
% 22.67/5.86 |
% 22.67/5.86 | Simplifying 559 yields:
% 22.67/5.86 | (560) e2 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (560) can reduce 114 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (536) ~ (all_0_0_0 = e2)
% 22.67/5.86 | (711) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 22.67/5.86 |
% 22.67/5.86 | Equations (538) can reduce 536 to:
% 22.67/5.86 | (530) ~ (e2 = e1)
% 22.67/5.86 |
% 22.67/5.86 | Simplifying 530 yields:
% 22.67/5.86 | (114) ~ (e2 = e1)
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (822), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (823) all_0_15_15 = e2
% 22.67/5.86 |
% 22.67/5.86 | Equations (823) can reduce 229 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (229) ~ (all_0_15_15 = e2)
% 22.67/5.86 | (784) all_0_20_20 = e2
% 22.67/5.86 |
% 22.67/5.86 | Combining equations (523,784) yields a new equation:
% 22.67/5.86 | (560) e2 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (560) can reduce 114 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (2075) ~ (all_0_10_10 = e1)
% 22.67/5.86 | (1145) all_0_11_11 = e1
% 22.67/5.86 |
% 22.67/5.86 | Combining equations (2395,1145) yields a new equation:
% 22.67/5.86 | (493) e4 = e1
% 22.67/5.86 |
% 22.67/5.86 | Simplifying 493 yields:
% 22.67/5.86 | (494) e4 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (494) can reduce 207 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (595) ~ (all_0_0_0 = e1)
% 22.67/5.86 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (596), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (605) all_0_1_1 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (605) can reduce 608 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (608) ~ (all_0_1_1 = e1)
% 22.67/5.86 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (609), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (695) all_0_3_3 = e1
% 22.67/5.86 |
% 22.67/5.86 | Combining equations (695,364) yields a new equation:
% 22.67/5.86 | (494) e4 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (494) can reduce 207 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (698) ~ (all_0_3_3 = e1)
% 22.67/5.86 | (634) all_0_4_4 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (634) can reduce 464 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (458) ~ (all_0_13_13 = e1)
% 22.67/5.86 | (482) all_0_15_15 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (482) can reduce 1154 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (357) ~ (all_0_12_12 = e4)
% 22.67/5.86 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (363), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (252) all_0_14_14 = e4
% 22.67/5.86 |
% 22.67/5.86 | Combining equations (224,252) yields a new equation:
% 22.67/5.86 | (254) e4 = e2
% 22.67/5.86 |
% 22.67/5.86 | Equations (254) can reduce 194 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (256) ~ (all_0_14_14 = e4)
% 22.67/5.86 | (391) all_0_15_15 = e4
% 22.67/5.86 |
% 22.67/5.86 | Equations (391) can reduce 442 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (1220) ~ (all_0_3_3 = e4)
% 22.67/5.86 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (306), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (377) all_0_10_10 = e4
% 22.67/5.86 |
% 22.67/5.86 | Equations (377) can reduce 355 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (355) ~ (all_0_10_10 = e4)
% 22.67/5.86 | (380) all_0_10_10 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (380) can reduce 87 to:
% 22.67/5.86 | (698) ~ (all_0_3_3 = e1)
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (64), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (755) all_0_3_3 = e2
% 22.67/5.86 |
% 22.67/5.86 | Equations (755) can reduce 213 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (213) ~ (all_0_3_3 = e2)
% 22.67/5.86 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (2070), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (364) all_0_3_3 = e4
% 22.67/5.86 |
% 22.67/5.86 | Equations (364) can reduce 1220 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (1220) ~ (all_0_3_3 = e4)
% 22.67/5.86 | (2377) all_0_3_3 = e3 | all_0_3_3 = e1
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (2377), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (695) all_0_3_3 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (695) can reduce 698 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (698) ~ (all_0_3_3 = e1)
% 22.67/5.86 | (372) all_0_3_3 = e3
% 22.67/5.86 |
% 22.67/5.86 | Equations (372) can reduce 375 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (2559) ~ (all_0_11_11 = e4)
% 22.67/5.86 | (2560) all_0_11_11 = e1 | all_0_11_11 = e0
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (2560), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (1145) all_0_11_11 = e1
% 22.67/5.86 |
% 22.67/5.86 | Equations (1145) can reduce 462 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (462) ~ (all_0_11_11 = e1)
% 22.67/5.86 | (343) all_0_11_11 = e0
% 22.67/5.86 |
% 22.67/5.86 | Equations (343) can reduce 2480 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (461) ~ (all_0_20_20 = e1)
% 22.67/5.86 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (780), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (788) all_0_0_0 = e3
% 22.67/5.86 |
% 22.67/5.86 | Equations (788) can reduce 414 to:
% 22.67/5.86 | (243) $false
% 22.67/5.86 |
% 22.67/5.86 |-The branch is then unsatisfiable
% 22.67/5.86 |-Branch two:
% 22.67/5.86 | (414) ~ (all_0_0_0 = e3)
% 22.67/5.86 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.67/5.86 |
% 22.67/5.86 +-Applying beta-rule and splitting (791), into two cases.
% 22.67/5.86 |-Branch one:
% 22.67/5.86 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 22.67/5.86 |
% 22.67/5.86 | Applying alpha-rule on (796) yields:
% 22.67/5.86 | (797) all_0_0_0 = e0
% 22.67/5.87 | (792) all_0_20_20 = e4
% 22.67/5.87 | (392) ~ (all_0_4_4 = e4)
% 22.67/5.87 |
% 22.67/5.87 | Equations (792) can reduce 263 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Applying alpha-rule on (801) yields:
% 22.67/5.87 | (797) all_0_0_0 = e0
% 22.67/5.87 | (792) all_0_20_20 = e4
% 22.67/5.87 | (276) ~ (all_0_16_16 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (792) can reduce 263 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (284) ~ (all_0_5_5 = e3)
% 22.67/5.87 | (285) all_0_6_6 = e3 | all_0_7_7 = e3
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (285), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (286) all_0_6_6 = e3
% 22.67/5.87 |
% 22.67/5.87 | Combining equations (286,212) yields a new equation:
% 22.67/5.87 | (400) e3 = e2
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 400 yields:
% 22.67/5.87 | (287) e3 = e2
% 22.67/5.87 |
% 22.67/5.87 | Equations (287) can reduce 183 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (289) ~ (all_0_6_6 = e3)
% 22.67/5.87 | (290) all_0_7_7 = e3
% 22.67/5.87 |
% 22.67/5.87 | Combining equations (3098,290) yields a new equation:
% 22.67/5.87 | (282) e3 = e0
% 22.67/5.87 |
% 22.67/5.87 | Equations (282) can reduce 54 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (4061) ~ (all_0_2_2 = e0)
% 22.67/5.87 | (832) all_0_18_18 = e0
% 22.67/5.87 |
% 22.67/5.87 | Equations (832) can reduce 20 to:
% 22.67/5.87 | (4061) ~ (all_0_2_2 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (832) can reduce 67 to:
% 22.67/5.87 | (276) ~ (all_0_16_16 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (832) can reduce 162 to:
% 22.67/5.87 | (2482) ~ (all_0_17_17 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (832) can reduce 122 to:
% 22.67/5.87 | (4066) ~ (all_0_19_19 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 4066 yields:
% 22.67/5.87 | (11) ~ (all_0_19_19 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (832) can reduce 57 to:
% 22.67/5.87 | (348) ~ (all_0_20_20 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 348 yields:
% 22.67/5.87 | (349) ~ (all_0_20_20 = e0)
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (166), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (750) all_0_2_2 = e2
% 22.67/5.87 |
% 22.67/5.87 | Equations (750) can reduce 225 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (225) ~ (all_0_2_2 = e2)
% 22.67/5.87 | (4073) all_0_2_2 = e4 | all_0_2_2 = e0
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (4073), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (246) all_0_2_2 = e4
% 22.67/5.87 |
% 22.67/5.87 | Equations (246) can reduce 173 to:
% 22.67/5.87 | (1663) ~ (all_0_0_0 = e4)
% 22.67/5.87 |
% 22.67/5.87 | Equations (246) can reduce 190 to:
% 22.67/5.87 | (4076) ~ (all_0_3_3 = e4)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 4076 yields:
% 22.67/5.87 | (1220) ~ (all_0_3_3 = e4)
% 22.67/5.87 |
% 22.67/5.87 | Equations (246) can reduce 149 to:
% 22.67/5.87 | (4078) ~ (all_0_4_4 = e4)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 4078 yields:
% 22.67/5.87 | (392) ~ (all_0_4_4 = e4)
% 22.67/5.87 |
% 22.67/5.87 | Equations (246) can reduce 225 to:
% 22.67/5.87 | (194) ~ (e4 = e2)
% 22.67/5.87 |
% 22.67/5.87 | Equations (246) can reduce 84 to:
% 22.67/5.87 | (207) ~ (e4 = e1)
% 22.67/5.87 |
% 22.67/5.87 | From (246) and (34) follows:
% 22.67/5.87 | (4082) op(e4, e2) = e4
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (130), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (267) all_0_5_5 = e0
% 22.67/5.87 |
% 22.67/5.87 | Equations (267) can reduce 15 to:
% 22.67/5.87 | (268) ~ (all_0_0_0 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (267) can reduce 152 to:
% 22.67/5.87 | (269) ~ (all_0_7_7 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 269 yields:
% 22.67/5.87 | (270) ~ (all_0_7_7 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (267) can reduce 125 to:
% 22.67/5.87 | (271) ~ (all_0_8_8 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 271 yields:
% 22.67/5.87 | (272) ~ (all_0_8_8 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (267) can reduce 92 to:
% 22.67/5.87 | (273) ~ (all_0_12_12 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 273 yields:
% 22.67/5.87 | (210) ~ (all_0_12_12 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (267) can reduce 214 to:
% 22.67/5.87 | (277) ~ (e2 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 277 yields:
% 22.67/5.87 | (39) ~ (e2 = e0)
% 22.67/5.87 |
% 22.67/5.87 | From (267) and (61) follows:
% 22.67/5.87 | (279) op(e3, e4) = e0
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (116), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (812) all_0_7_7 = e2
% 22.67/5.87 |
% 22.67/5.87 | Equations (812) can reduce 216 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (216) ~ (all_0_7_7 = e2)
% 22.67/5.87 | (4097) all_0_7_7 = e3 | all_0_7_7 = e0
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (4097), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (3098) all_0_7_7 = e0
% 22.67/5.87 |
% 22.67/5.87 | Equations (3098) can reduce 270 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (270) ~ (all_0_7_7 = e0)
% 22.67/5.87 | (290) all_0_7_7 = e3
% 22.67/5.87 |
% 22.67/5.87 | Equations (290) can reduce 160 to:
% 22.67/5.87 | (291) ~ (all_0_4_4 = e3)
% 22.67/5.87 |
% 22.67/5.87 | Equations (290) can reduce 6 to:
% 22.67/5.87 | (294) ~ (all_0_15_15 = e3)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 294 yields:
% 22.67/5.87 | (295) ~ (all_0_15_15 = e3)
% 22.67/5.87 |
% 22.67/5.87 | Equations (290) can reduce 55 to:
% 22.67/5.87 | (296) ~ (all_0_20_20 = e3)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 296 yields:
% 22.67/5.87 | (297) ~ (all_0_20_20 = e3)
% 22.67/5.87 |
% 22.67/5.87 | Equations (290) can reduce 16 to:
% 22.67/5.87 | (408) ~ (e4 = e3)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 408 yields:
% 22.67/5.87 | (23) ~ (e4 = e3)
% 22.67/5.87 |
% 22.67/5.87 | Equations (290) can reduce 147 to:
% 22.67/5.87 | (111) ~ (e3 = e1)
% 22.67/5.87 |
% 22.67/5.87 | Equations (290) can reduce 270 to:
% 22.67/5.87 | (54) ~ (e3 = e0)
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (108), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (303) all_0_10_10 = e2
% 22.67/5.87 |
% 22.67/5.87 | Equations (303) can reduce 218 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (218) ~ (all_0_10_10 = e2)
% 22.67/5.87 | (306) all_0_10_10 = e4 | all_0_10_10 = e1
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (171), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (299) all_0_13_13 = e2
% 22.67/5.87 |
% 22.67/5.87 | Equations (299) can reduce 227 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (227) ~ (all_0_13_13 = e2)
% 22.67/5.87 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (202), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (307) all_0_9_9 = e2
% 22.67/5.87 |
% 22.67/5.87 | Equations (307) can reduce 3 to:
% 22.67/5.87 | (309) ~ (all_0_8_8 = e2)
% 22.67/5.87 |
% 22.67/5.87 | Equations (307) can reduce 14 to:
% 22.67/5.87 | (312) ~ (all_0_11_11 = e2)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 312 yields:
% 22.67/5.87 | (313) ~ (all_0_11_11 = e2)
% 22.67/5.87 |
% 22.67/5.87 | Equations (307) can reduce 56 to:
% 22.67/5.87 | (314) ~ (all_0_17_17 = e2)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 314 yields:
% 22.67/5.87 | (315) ~ (all_0_17_17 = e2)
% 22.67/5.87 |
% 22.67/5.87 | Equations (307) can reduce 127 to:
% 22.67/5.87 | (221) ~ (e4 = e2)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 221 yields:
% 22.67/5.87 | (194) ~ (e4 = e2)
% 22.67/5.87 |
% 22.67/5.87 | Equations (307) can reduce 58 to:
% 22.67/5.87 | (232) ~ (e3 = e2)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 232 yields:
% 22.67/5.87 | (183) ~ (e3 = e2)
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (176), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (322) all_0_1_1 = e0
% 22.67/5.87 |
% 22.67/5.87 | Equations (322) can reduce 178 to:
% 22.67/5.87 | (268) ~ (all_0_0_0 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (322) can reduce 47 to:
% 22.67/5.87 | (238) ~ (all_0_3_3 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 238 yields:
% 22.67/5.87 | (193) ~ (all_0_3_3 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (322) can reduce 33 to:
% 22.67/5.87 | (4133) ~ (all_0_4_4 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 4133 yields:
% 22.67/5.87 | (344) ~ (all_0_4_4 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Equations (322) can reduce 73 to:
% 22.67/5.87 | (2481) ~ (all_0_17_17 = e0)
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 2481 yields:
% 22.67/5.87 | (2482) ~ (all_0_17_17 = e0)
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (191), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (638) all_0_4_4 = e0
% 22.67/5.87 |
% 22.67/5.87 | Equations (638) can reduce 344 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (344) ~ (all_0_4_4 = e0)
% 22.67/5.87 | (4140) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_20_20 = e0
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (4140), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (3098) all_0_7_7 = e0
% 22.67/5.87 |
% 22.67/5.87 | Combining equations (290,3098) yields a new equation:
% 22.67/5.87 | (281) e3 = e0
% 22.67/5.87 |
% 22.67/5.87 | Simplifying 281 yields:
% 22.67/5.87 | (282) e3 = e0
% 22.67/5.87 |
% 22.67/5.87 | Equations (282) can reduce 54 to:
% 22.67/5.87 | (243) $false
% 22.67/5.87 |
% 22.67/5.87 |-The branch is then unsatisfiable
% 22.67/5.87 |-Branch two:
% 22.67/5.87 | (270) ~ (all_0_7_7 = e0)
% 22.67/5.87 | (4146) all_0_11_11 = e0 | all_0_20_20 = e0
% 22.67/5.87 |
% 22.67/5.87 +-Applying beta-rule and splitting (4146), into two cases.
% 22.67/5.87 |-Branch one:
% 22.67/5.87 | (343) all_0_11_11 = e0
% 22.67/5.88 |
% 22.67/5.88 | Equations (343) can reduce 82 to:
% 22.67/5.88 | (344) ~ (all_0_4_4 = e0)
% 22.67/5.88 |
% 22.67/5.88 | Equations (343) can reduce 7 to:
% 22.67/5.88 | (272) ~ (all_0_8_8 = e0)
% 22.67/5.88 |
% 22.67/5.88 | Equations (343) can reduce 25 to:
% 22.67/5.88 | (346) ~ (all_0_15_15 = e0)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 346 yields:
% 22.67/5.88 | (151) ~ (all_0_15_15 = e0)
% 22.67/5.88 |
% 22.67/5.88 | Equations (343) can reduce 45 to:
% 22.67/5.88 | (348) ~ (all_0_20_20 = e0)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 348 yields:
% 22.67/5.88 | (349) ~ (all_0_20_20 = e0)
% 22.67/5.88 |
% 22.67/5.88 | Equations (343) can reduce 313 to:
% 22.67/5.88 | (277) ~ (e2 = e0)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 277 yields:
% 22.67/5.88 | (39) ~ (e2 = e0)
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (150), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (360) all_0_12_12 = e4
% 22.67/5.88 |
% 22.67/5.88 | Equations (360) can reduce 80 to:
% 22.67/5.88 | (1663) ~ (all_0_0_0 = e4)
% 22.67/5.88 |
% 22.67/5.88 | Equations (360) can reduce 174 to:
% 22.67/5.88 | (1227) ~ (all_0_8_8 = e4)
% 22.67/5.88 |
% 22.67/5.88 | Equations (360) can reduce 36 to:
% 22.67/5.88 | (3912) ~ (all_0_15_15 = e4)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 3912 yields:
% 22.67/5.88 | (442) ~ (all_0_15_15 = e4)
% 22.67/5.88 |
% 22.67/5.88 | Equations (360) can reduce 210 to:
% 22.67/5.88 | (4) ~ (e4 = e0)
% 22.67/5.88 |
% 22.67/5.88 | From (360) and (103) follows:
% 22.67/5.88 | (566) op(e1, e4) = e4
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (129), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (413) all_0_12_12 = e3
% 22.67/5.88 |
% 22.67/5.88 | Combining equations (413,360) yields a new equation:
% 22.67/5.88 | (373) e4 = e3
% 22.67/5.88 |
% 22.67/5.88 | Equations (373) can reduce 23 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (472) ~ (all_0_12_12 = e3)
% 22.67/5.88 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (126), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (823) all_0_15_15 = e2
% 22.67/5.88 |
% 22.67/5.88 | Equations (823) can reduce 229 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (229) ~ (all_0_15_15 = e2)
% 22.67/5.88 | (4171) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (49), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (353) all_0_8_8 = e4
% 22.67/5.88 |
% 22.67/5.88 | Equations (353) can reduce 1227 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (1227) ~ (all_0_8_8 = e4)
% 22.67/5.88 | (1228) all_0_10_10 = e4 | all_0_11_11 = e4
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (871), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (868) all_0_13_13 = e3
% 22.67/5.88 |
% 22.67/5.88 | Equations (868) can reduce 179 to:
% 22.67/5.88 | (294) ~ (all_0_15_15 = e3)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 294 yields:
% 22.67/5.88 | (295) ~ (all_0_15_15 = e3)
% 22.67/5.88 |
% 22.67/5.88 | Equations (868) can reduce 19 to:
% 22.67/5.88 | (2751) ~ (all_0_17_17 = e3)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 2751 yields:
% 22.67/5.88 | (2752) ~ (all_0_17_17 = e3)
% 22.67/5.88 |
% 22.67/5.88 | From (868) and (51) follows:
% 22.67/5.88 | (567) op(e1, e3) = e3
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (198), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (727) all_0_8_8 = e2
% 22.67/5.88 |
% 22.67/5.88 | Equations (727) can reduce 309 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (309) ~ (all_0_8_8 = e2)
% 22.67/5.88 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (1228), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (377) all_0_10_10 = e4
% 22.67/5.88 |
% 22.67/5.88 | Equations (377) can reduce 38 to:
% 22.67/5.88 | (1227) ~ (all_0_8_8 = e4)
% 22.67/5.88 |
% 22.67/5.88 | Equations (377) can reduce 206 to:
% 22.67/5.88 | (260) ~ (all_0_19_19 = e4)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 260 yields:
% 22.67/5.88 | (261) ~ (all_0_19_19 = e4)
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (59), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (1820) all_0_17_17 = e2
% 22.67/5.88 |
% 22.67/5.88 | Equations (1820) can reduce 315 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (315) ~ (all_0_17_17 = e2)
% 22.67/5.88 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (2810), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (1012) all_0_17_17 = e1
% 22.67/5.88 |
% 22.67/5.88 | Equations (1012) can reduce 22 to:
% 22.67/5.88 | (381) ~ (all_0_19_19 = e1)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 381 yields:
% 22.67/5.88 | (382) ~ (all_0_19_19 = e1)
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (1232), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (353) all_0_8_8 = e4
% 22.67/5.88 |
% 22.67/5.88 | Equations (353) can reduce 1227 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (1227) ~ (all_0_8_8 = e4)
% 22.67/5.88 | (2388) all_0_8_8 = e1 | all_0_8_8 = e0
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (2388), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (611) all_0_8_8 = e1
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (65), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (1262) all_0_19_19 = e2
% 22.67/5.88 |
% 22.67/5.88 | Equations (1262) can reduce 220 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (220) ~ (all_0_19_19 = e2)
% 22.67/5.88 | (1265) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (4171), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (391) all_0_15_15 = e4
% 22.67/5.88 |
% 22.67/5.88 | Equations (391) can reduce 442 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (442) ~ (all_0_15_15 = e4)
% 22.67/5.88 | (4209) all_0_15_15 = e3 | all_0_15_15 = e1
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (52), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (630) all_0_4_4 = e4
% 22.67/5.88 |
% 22.67/5.88 | Equations (630) can reduce 392 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (392) ~ (all_0_4_4 = e4)
% 22.67/5.88 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (4209), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (482) all_0_15_15 = e1
% 22.67/5.88 |
% 22.67/5.88 | Equations (482) can reduce 40 to:
% 22.67/5.88 | (2079) ~ (all_0_20_20 = e1)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 2079 yields:
% 22.67/5.88 | (461) ~ (all_0_20_20 = e1)
% 22.67/5.88 |
% 22.67/5.88 | Equations (482) can reduce 442 to:
% 22.67/5.88 | (383) ~ (e4 = e1)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 383 yields:
% 22.67/5.88 | (207) ~ (e4 = e1)
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (1265), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (1225) all_0_19_19 = e4
% 22.67/5.88 |
% 22.67/5.88 | Equations (1225) can reduce 261 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (261) ~ (all_0_19_19 = e4)
% 22.67/5.88 | (1269) all_0_19_19 = e3 | all_0_19_19 = e1
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (104), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (695) all_0_3_3 = e1
% 22.67/5.88 |
% 22.67/5.88 | Equations (695) can reduce 85 to:
% 22.67/5.88 | (595) ~ (all_0_0_0 = e1)
% 22.67/5.88 |
% 22.67/5.88 | Equations (695) can reduce 86 to:
% 22.67/5.88 | (628) ~ (all_0_4_4 = e1)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 628 yields:
% 22.67/5.88 | (464) ~ (all_0_4_4 = e1)
% 22.67/5.88 |
% 22.67/5.88 | Equations (695) can reduce 135 to:
% 22.67/5.88 | (381) ~ (all_0_19_19 = e1)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 381 yields:
% 22.67/5.88 | (382) ~ (all_0_19_19 = e1)
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (1269), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (1017) all_0_19_19 = e1
% 22.67/5.88 |
% 22.67/5.88 | Equations (1017) can reduce 382 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (382) ~ (all_0_19_19 = e1)
% 22.67/5.88 | (404) all_0_19_19 = e3
% 22.67/5.88 |
% 22.67/5.88 | Equations (404) can reduce 158 to:
% 22.67/5.88 | (296) ~ (all_0_20_20 = e3)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 296 yields:
% 22.67/5.88 | (297) ~ (all_0_20_20 = e3)
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (18), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (523) all_0_20_20 = e1
% 22.67/5.88 |
% 22.67/5.88 | Equations (523) can reduce 461 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (461) ~ (all_0_20_20 = e1)
% 22.67/5.88 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (156), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (535) all_0_4_4 = e2
% 22.67/5.88 |
% 22.67/5.88 | Equations (535) can reduce 93 to:
% 22.67/5.88 | (536) ~ (all_0_0_0 = e2)
% 22.67/5.88 |
% 22.67/5.88 | Equations (535) can reduce 392 to:
% 22.67/5.88 | (221) ~ (e4 = e2)
% 22.67/5.88 |
% 22.67/5.88 | Simplifying 221 yields:
% 22.67/5.88 | (194) ~ (e4 = e2)
% 22.67/5.88 |
% 22.67/5.88 | Equations (535) can reduce 464 to:
% 22.67/5.88 | (114) ~ (e2 = e1)
% 22.67/5.88 |
% 22.67/5.88 | Equations (535) can reduce 344 to:
% 22.67/5.88 | (39) ~ (e2 = e0)
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (200), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (672) all_0_0_0 = e2
% 22.67/5.88 |
% 22.67/5.88 | Equations (672) can reduce 536 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (536) ~ (all_0_0_0 = e2)
% 22.67/5.88 | (4248) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e1 | all_0_0_0 = e0
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (136), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (672) all_0_0_0 = e2
% 22.67/5.88 |
% 22.67/5.88 | Equations (672) can reduce 536 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (536) ~ (all_0_0_0 = e2)
% 22.67/5.88 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (4248), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.88 | (1659) all_0_0_0 = e4
% 22.67/5.88 |
% 22.67/5.88 | Equations (1659) can reduce 1663 to:
% 22.67/5.88 | (243) $false
% 22.67/5.88 |
% 22.67/5.88 |-The branch is then unsatisfiable
% 22.67/5.88 |-Branch two:
% 22.67/5.88 | (1663) ~ (all_0_0_0 = e4)
% 22.67/5.88 | (4256) all_0_0_0 = e3 | all_0_0_0 = e1 | all_0_0_0 = e0
% 22.67/5.88 |
% 22.67/5.88 +-Applying beta-rule and splitting (702), into two cases.
% 22.67/5.88 |-Branch one:
% 22.67/5.89 | (722) all_0_5_5 = e2
% 22.67/5.89 |
% 22.67/5.89 | Combining equations (267,722) yields a new equation:
% 22.67/5.89 | (327) e2 = e0
% 22.67/5.89 |
% 22.67/5.89 | Equations (327) can reduce 39 to:
% 22.67/5.89 | (243) $false
% 22.67/5.89 |
% 22.67/5.89 |-The branch is then unsatisfiable
% 22.67/5.89 |-Branch two:
% 22.67/5.89 | (214) ~ (all_0_5_5 = e2)
% 22.67/5.89 | (726) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.67/5.89 |
% 22.67/5.89 +-Applying beta-rule and splitting (4256), into two cases.
% 22.67/5.89 |-Branch one:
% 22.67/5.89 | (538) all_0_0_0 = e1
% 22.67/5.89 |
% 22.67/5.89 | Equations (538) can reduce 595 to:
% 22.67/5.89 | (243) $false
% 22.67/5.89 |
% 22.67/5.89 |-The branch is then unsatisfiable
% 22.67/5.89 |-Branch two:
% 22.67/5.89 | (595) ~ (all_0_0_0 = e1)
% 22.67/5.89 | (4265) all_0_0_0 = e3 | all_0_0_0 = e0
% 22.67/5.89 |
% 22.67/5.89 +-Applying beta-rule and splitting (726), into two cases.
% 22.67/5.89 |-Branch one:
% 22.67/5.89 | (727) all_0_8_8 = e2
% 22.67/5.89 |
% 22.67/5.89 | Combining equations (727,611) yields a new equation:
% 22.67/5.89 | (559) e2 = e1
% 22.67/5.89 |
% 22.67/5.89 | Simplifying 559 yields:
% 22.67/5.89 | (560) e2 = e1
% 22.67/5.89 |
% 22.67/5.89 | Equations (560) can reduce 114 to:
% 22.67/5.89 | (243) $false
% 22.75/5.89 |
% 22.75/5.89 |-The branch is then unsatisfiable
% 22.75/5.89 |-Branch two:
% 22.75/5.89 | (309) ~ (all_0_8_8 = e2)
% 22.75/5.89 | (731) all_0_12_12 = e2 | all_0_16_16 = e2
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (4265), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (797) all_0_0_0 = e0
% 22.75/5.89 |
% 22.75/5.89 | Equations (797) can reduce 268 to:
% 22.75/5.89 | (243) $false
% 22.75/5.89 |
% 22.75/5.89 |-The branch is then unsatisfiable
% 22.75/5.89 |-Branch two:
% 22.75/5.89 | (268) ~ (all_0_0_0 = e0)
% 22.75/5.89 | (788) all_0_0_0 = e3
% 22.75/5.89 |
% 22.75/5.89 | Equations (788) can reduce 268 to:
% 22.75/5.89 | (54) ~ (e3 = e0)
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (731), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (732) all_0_12_12 = e2
% 22.75/5.89 |
% 22.75/5.89 | Combining equations (360,732) yields a new equation:
% 22.75/5.89 | (253) e4 = e2
% 22.75/5.89 |
% 22.75/5.89 | Simplifying 253 yields:
% 22.75/5.89 | (254) e4 = e2
% 22.75/5.89 |
% 22.75/5.89 | Equations (254) can reduce 194 to:
% 22.75/5.89 | (243) $false
% 22.75/5.89 |
% 22.75/5.89 |-The branch is then unsatisfiable
% 22.75/5.89 |-Branch two:
% 22.75/5.89 | (226) ~ (all_0_12_12 = e2)
% 22.75/5.89 | (532) all_0_16_16 = e2
% 22.75/5.89 |
% 22.75/5.89 | Equations (532) can reduce 81 to:
% 22.75/5.89 | (782) ~ (all_0_20_20 = e2)
% 22.75/5.89 |
% 22.75/5.89 | Simplifying 782 yields:
% 22.75/5.89 | (522) ~ (all_0_20_20 = e2)
% 22.75/5.89 |
% 22.75/5.89 | From (532) and (101) follows:
% 22.75/5.89 | (534) op(e0, e4) = e2
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (96), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (784) all_0_20_20 = e2
% 22.75/5.89 |
% 22.75/5.89 | Equations (784) can reduce 522 to:
% 22.75/5.89 | (243) $false
% 22.75/5.89 |
% 22.75/5.89 |-The branch is then unsatisfiable
% 22.75/5.89 |-Branch two:
% 22.75/5.89 | (522) ~ (all_0_20_20 = e2)
% 22.75/5.89 | (787) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (787), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (792) all_0_20_20 = e4
% 22.75/5.89 |
% 22.75/5.89 | Equations (792) can reduce 349 to:
% 22.75/5.89 | (4) ~ (e4 = e0)
% 22.75/5.89 |
% 22.75/5.89 | From (792) and (177) follows:
% 22.75/5.89 | (4292) op(e0, e0) = e4
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (72), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (433), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (434), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (435), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.75/5.89 |
% 22.75/5.89 | Applying alpha-rule on (436) yields:
% 22.75/5.89 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.75/5.89 | (438) ~ (unit = e4)
% 22.75/5.89 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.75/5.89 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.75/5.89 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.75/5.89 | (442) ~ (all_0_15_15 = e4)
% 22.75/5.89 | (280) all_0_5_5 = e3
% 22.75/5.89 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.75/5.89 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.75/5.89 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.75/5.89 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.75/5.89 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.75/5.89 |
% 22.75/5.89 | Combining equations (267,280) yields a new equation:
% 22.75/5.89 | (282) e3 = e0
% 22.75/5.89 |
% 22.75/5.89 | Equations (282) can reduce 54 to:
% 22.75/5.89 | (243) $false
% 22.75/5.89 |
% 22.75/5.89 |-The branch is then unsatisfiable
% 22.75/5.89 |-Branch two:
% 22.75/5.89 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.75/5.89 |
% 22.75/5.89 | Applying alpha-rule on (452) yields:
% 22.75/5.89 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.75/5.89 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.75/5.89 | (422) ~ (all_0_12_12 = e1)
% 22.75/5.89 | (212) all_0_6_6 = e2
% 22.75/5.89 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.75/5.89 | (458) ~ (all_0_13_13 = e1)
% 22.75/5.89 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.75/5.89 | (460) ~ (all_0_9_9 = e1)
% 22.75/5.89 | (461) ~ (all_0_20_20 = e1)
% 22.75/5.89 | (462) ~ (all_0_11_11 = e1)
% 22.75/5.89 | (463) ~ (unit = e1)
% 22.75/5.89 | (464) ~ (all_0_4_4 = e1)
% 22.75/5.89 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.75/5.89 |
% 22.75/5.89 | Equations (343) can reduce 462 to:
% 22.75/5.89 | (578) ~ (e1 = e0)
% 22.75/5.89 |
% 22.75/5.89 | Simplifying 578 yields:
% 22.75/5.89 | (109) ~ (e1 = e0)
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (46), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (548) unit = e2
% 22.75/5.89 |
% 22.75/5.89 | Equations (548) can reduce 463 to:
% 22.75/5.89 | (114) ~ (e2 = e1)
% 22.75/5.89 |
% 22.75/5.89 | From (548) and (102) follows:
% 22.75/5.89 | (3465) op(e3, e2) = e3
% 22.75/5.89 |
% 22.75/5.89 | From (548) and (139) follows:
% 22.75/5.89 | (2817) op(e2, e2) = e2
% 22.75/5.89 |
% 22.75/5.89 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 22.75/5.89 | (420) e3 = e1
% 22.75/5.89 |
% 22.75/5.89 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 22.75/5.89 | (287) e3 = e2
% 22.75/5.89 |
% 22.75/5.89 | Combining equations (287,420) yields a new equation:
% 22.75/5.89 | (559) e2 = e1
% 22.75/5.89 |
% 22.75/5.89 | Simplifying 559 yields:
% 22.75/5.89 | (560) e2 = e1
% 22.75/5.89 |
% 22.75/5.89 | Equations (560) can reduce 114 to:
% 22.75/5.89 | (243) $false
% 22.75/5.89 |
% 22.75/5.89 |-The branch is then unsatisfiable
% 22.75/5.89 |-Branch two:
% 22.75/5.89 | (547) ~ (unit = e2)
% 22.75/5.89 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 22.75/5.89 |
% 22.75/5.89 +-Applying beta-rule and splitting (551), into two cases.
% 22.75/5.89 |-Branch one:
% 22.75/5.89 | (552) unit = e4
% 22.75/5.89 |
% 22.75/5.89 | From (552) and (184) follows:
% 22.75/5.89 | (4339) op(e4, e2) = e2
% 22.75/5.89 |
% 22.75/5.89 | From (552) and (172) follows:
% 22.75/5.89 | (2832) op(e1, e4) = e1
% 22.75/5.89 |
% 22.75/5.89 | From (552) and (175) follows:
% 22.75/5.90 | (555) op(e0, e4) = e0
% 22.75/5.90 |
% 22.75/5.90 | Instantiating formula (105) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields:
% 22.75/5.90 | (254) e4 = e2
% 22.75/5.90 |
% 22.75/5.90 | Instantiating formula (105) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 22.75/5.90 | (494) e4 = e1
% 22.75/5.90 |
% 22.75/5.90 | Instantiating formula (105) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 22.75/5.90 | (327) e2 = e0
% 22.75/5.90 |
% 22.75/5.90 | Combining equations (254,494) yields a new equation:
% 22.75/5.90 | (559) e2 = e1
% 22.75/5.90 |
% 22.75/5.90 | Simplifying 559 yields:
% 22.75/5.90 | (560) e2 = e1
% 22.75/5.90 |
% 22.75/5.90 | Combining equations (327,560) yields a new equation:
% 22.75/5.90 | (561) e1 = e0
% 22.75/5.90 |
% 22.75/5.90 | Equations (561) can reduce 109 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (438) ~ (unit = e4)
% 22.75/5.90 | (564) unit = e3 | unit = e1 | unit = e0
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (564), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (565) unit = e1
% 22.75/5.90 |
% 22.75/5.90 | Equations (565) can reduce 463 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (463) ~ (unit = e1)
% 22.75/5.90 | (576) unit = e3 | unit = e0
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (576), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (577) unit = e0
% 22.75/5.90 |
% 22.75/5.90 | Equations (577) can reduce 547 to:
% 22.75/5.90 | (277) ~ (e2 = e0)
% 22.75/5.90 |
% 22.75/5.90 | Simplifying 277 yields:
% 22.75/5.90 | (39) ~ (e2 = e0)
% 22.75/5.90 |
% 22.75/5.90 | From (577) and (169) follows:
% 22.75/5.90 | (4358) op(e0, e4) = e4
% 22.75/5.90 |
% 22.75/5.90 | From (577) and (175) follows:
% 22.75/5.90 | (4359) op(e0, e0) = e0
% 22.75/5.90 |
% 22.75/5.90 | Instantiating formula (105) with e0, e4, e4, e2 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e2, yields:
% 22.75/5.90 | (254) e4 = e2
% 22.75/5.90 |
% 22.75/5.90 | Instantiating formula (105) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields:
% 22.75/5.90 | (248) e4 = e0
% 22.75/5.90 |
% 22.75/5.90 | Combining equations (254,248) yields a new equation:
% 22.75/5.90 | (339) e2 = e0
% 22.75/5.90 |
% 22.75/5.90 | Simplifying 339 yields:
% 22.75/5.90 | (327) e2 = e0
% 22.75/5.90 |
% 22.75/5.90 | Equations (327) can reduce 39 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (489) ~ (unit = e0)
% 22.75/5.90 | (591) unit = e3
% 22.75/5.90 |
% 22.75/5.90 | From (591) and (169) follows:
% 22.75/5.90 | (1079) op(e3, e4) = e4
% 22.75/5.90 |
% 22.75/5.90 | From (591) and (102) follows:
% 22.75/5.90 | (1080) op(e3, e3) = e3
% 22.75/5.90 |
% 22.75/5.90 | From (591) and (172) follows:
% 22.75/5.90 | (432) op(e1, e3) = e1
% 22.75/5.90 |
% 22.75/5.90 | Instantiating formula (105) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields:
% 22.75/5.90 | (248) e4 = e0
% 22.75/5.90 |
% 22.75/5.90 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 22.75/5.90 | (373) e4 = e3
% 22.75/5.90 |
% 22.75/5.90 | Instantiating formula (105) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 22.75/5.90 | (420) e3 = e1
% 22.75/5.90 |
% 22.75/5.90 | Combining equations (248,373) yields a new equation:
% 22.75/5.90 | (282) e3 = e0
% 22.75/5.90 |
% 22.75/5.90 | Combining equations (420,282) yields a new equation:
% 22.75/5.90 | (587) e1 = e0
% 22.75/5.90 |
% 22.75/5.90 | Simplifying 587 yields:
% 22.75/5.90 | (561) e1 = e0
% 22.75/5.90 |
% 22.75/5.90 | Equations (561) can reduce 109 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.75/5.90 |
% 22.75/5.90 | Applying alpha-rule on (467) yields:
% 22.75/5.90 | (468) ~ (all_0_7_7 = e3)
% 22.75/5.90 | (405) ~ (all_0_16_16 = e3)
% 22.75/5.90 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.75/5.90 | (295) ~ (all_0_15_15 = e3)
% 22.75/5.90 | (472) ~ (all_0_12_12 = e3)
% 22.75/5.90 | (289) ~ (all_0_6_6 = e3)
% 22.75/5.90 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.75/5.90 | (475) ~ (unit = e3)
% 22.75/5.90 | (307) all_0_9_9 = e2
% 22.75/5.90 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.75/5.90 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.75/5.90 | (414) ~ (all_0_0_0 = e3)
% 22.75/5.90 |
% 22.75/5.90 | Equations (290) can reduce 468 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.75/5.90 |
% 22.75/5.90 | Applying alpha-rule on (481) yields:
% 22.75/5.90 | (482) all_0_15_15 = e1
% 22.75/5.90 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.75/5.90 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.75/5.90 | (329) ~ (all_0_9_9 = e0)
% 22.75/5.90 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.75/5.90 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.75/5.90 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.75/5.90 | (489) ~ (unit = e0)
% 22.75/5.90 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.75/5.90 | (491) ~ (all_0_5_5 = e0)
% 22.75/5.90 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.75/5.90 |
% 22.75/5.90 | Equations (267) can reduce 491 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.75/5.90 |
% 22.75/5.90 | Applying alpha-rule on (496) yields:
% 22.75/5.90 | (308) ~ (all_0_1_1 = e2)
% 22.75/5.90 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.75/5.90 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.75/5.90 | (214) ~ (all_0_5_5 = e2)
% 22.75/5.90 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.75/5.90 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.75/5.90 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.75/5.90 | (213) ~ (all_0_3_3 = e2)
% 22.75/5.90 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.75/5.90 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.75/5.90 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.75/5.90 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.75/5.90 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.75/5.90 | (309) ~ (all_0_8_8 = e2)
% 22.75/5.90 | (220) ~ (all_0_19_19 = e2)
% 22.75/5.90 | (315) ~ (all_0_17_17 = e2)
% 22.75/5.90 | (216) ~ (all_0_7_7 = e2)
% 22.75/5.90 | (218) ~ (all_0_10_10 = e2)
% 22.75/5.90 | (227) ~ (all_0_13_13 = e2)
% 22.75/5.90 | (229) ~ (all_0_15_15 = e2)
% 22.75/5.90 | (313) ~ (all_0_11_11 = e2)
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (507), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (625) ~ (all_0_4_4 = e2)
% 22.75/5.90 |
% 22.75/5.90 | Equations (535) can reduce 625 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (535) all_0_4_4 = e2
% 22.75/5.90 | (4429) all_0_2_2 = e0 & ~ (unit = e2)
% 22.75/5.90 |
% 22.75/5.90 | Applying alpha-rule on (4429) yields:
% 22.75/5.90 | (236) all_0_2_2 = e0
% 22.75/5.90 | (547) ~ (unit = e2)
% 22.75/5.90 |
% 22.75/5.90 | Combining equations (246,236) yields a new equation:
% 22.75/5.90 | (247) e4 = e0
% 22.75/5.90 |
% 22.75/5.90 | Simplifying 247 yields:
% 22.75/5.90 | (248) e4 = e0
% 22.75/5.90 |
% 22.75/5.90 | Equations (248) can reduce 4 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (263) ~ (all_0_20_20 = e4)
% 22.75/5.90 | (795) all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (795), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (523) all_0_20_20 = e1
% 22.75/5.90 |
% 22.75/5.90 | Equations (523) can reduce 461 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (461) ~ (all_0_20_20 = e1)
% 22.75/5.90 | (1491) all_0_20_20 = e3 | all_0_20_20 = e0
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (1491), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (1492) all_0_20_20 = e0
% 22.75/5.90 |
% 22.75/5.90 | Equations (1492) can reduce 349 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (349) ~ (all_0_20_20 = e0)
% 22.75/5.90 | (1495) all_0_20_20 = e3
% 22.75/5.90 |
% 22.75/5.90 | Equations (1495) can reduce 297 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (625) ~ (all_0_4_4 = e2)
% 22.75/5.90 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (780), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (788) all_0_0_0 = e3
% 22.75/5.90 |
% 22.75/5.90 | Equations (788) can reduce 93 to:
% 22.75/5.90 | (426) ~ (all_0_4_4 = e3)
% 22.75/5.90 |
% 22.75/5.90 | Simplifying 426 yields:
% 22.75/5.90 | (291) ~ (all_0_4_4 = e3)
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (626), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (630) all_0_4_4 = e4
% 22.75/5.90 |
% 22.75/5.90 | Equations (630) can reduce 392 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (392) ~ (all_0_4_4 = e4)
% 22.75/5.90 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (633), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (634) all_0_4_4 = e1
% 22.75/5.90 |
% 22.75/5.90 | Equations (634) can reduce 464 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (464) ~ (all_0_4_4 = e1)
% 22.75/5.90 | (637) all_0_4_4 = e3 | all_0_4_4 = e0
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (637), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (638) all_0_4_4 = e0
% 22.75/5.90 |
% 22.75/5.90 | Equations (638) can reduce 344 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (344) ~ (all_0_4_4 = e0)
% 22.75/5.90 | (641) all_0_4_4 = e3
% 22.75/5.90 |
% 22.75/5.90 | Equations (641) can reduce 291 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (414) ~ (all_0_0_0 = e3)
% 22.75/5.90 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (791), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 22.75/5.90 |
% 22.75/5.90 | Applying alpha-rule on (796) yields:
% 22.75/5.90 | (797) all_0_0_0 = e0
% 22.75/5.90 | (792) all_0_20_20 = e4
% 22.75/5.90 | (392) ~ (all_0_4_4 = e4)
% 22.75/5.90 |
% 22.75/5.90 | Equations (797) can reduce 268 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 22.75/5.90 |
% 22.75/5.90 | Applying alpha-rule on (801) yields:
% 22.75/5.90 | (797) all_0_0_0 = e0
% 22.75/5.90 | (792) all_0_20_20 = e4
% 22.75/5.90 | (276) ~ (all_0_16_16 = e0)
% 22.75/5.90 |
% 22.75/5.90 | Equations (797) can reduce 268 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (698) ~ (all_0_3_3 = e1)
% 22.75/5.90 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (2066), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (380) all_0_10_10 = e1
% 22.75/5.90 |
% 22.75/5.90 | Combining equations (377,380) yields a new equation:
% 22.75/5.90 | (493) e4 = e1
% 22.75/5.90 |
% 22.75/5.90 | Simplifying 493 yields:
% 22.75/5.90 | (494) e4 = e1
% 22.75/5.90 |
% 22.75/5.90 | Equations (494) can reduce 207 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (2075) ~ (all_0_10_10 = e1)
% 22.75/5.90 | (1017) all_0_19_19 = e1
% 22.75/5.90 |
% 22.75/5.90 | Equations (1017) can reduce 382 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (1154) ~ (all_0_15_15 = e1)
% 22.75/5.90 | (1216) all_0_15_15 = e3
% 22.75/5.90 |
% 22.75/5.90 | Equations (1216) can reduce 295 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (614) ~ (all_0_8_8 = e1)
% 22.75/5.90 | (318) all_0_8_8 = e0
% 22.75/5.90 |
% 22.75/5.90 | Equations (318) can reduce 272 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (1015) ~ (all_0_17_17 = e1)
% 22.75/5.90 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.75/5.90 |
% 22.75/5.90 +-Applying beta-rule and splitting (2871), into two cases.
% 22.75/5.90 |-Branch one:
% 22.75/5.90 | (330) all_0_17_17 = e0
% 22.75/5.90 |
% 22.75/5.90 | Equations (330) can reduce 2482 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (2482) ~ (all_0_17_17 = e0)
% 22.75/5.90 | (1181) all_0_17_17 = e3
% 22.75/5.90 |
% 22.75/5.90 | Equations (1181) can reduce 2752 to:
% 22.75/5.90 | (243) $false
% 22.75/5.90 |
% 22.75/5.90 |-The branch is then unsatisfiable
% 22.75/5.90 |-Branch two:
% 22.75/5.90 | (355) ~ (all_0_10_10 = e4)
% 22.75/5.90 | (2395) all_0_11_11 = e4
% 22.75/5.90 |
% 22.75/5.90 | Combining equations (343,2395) yields a new equation:
% 22.75/5.91 | (248) e4 = e0
% 22.75/5.91 |
% 22.75/5.91 | Equations (248) can reduce 4 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (416) ~ (all_0_13_13 = e3)
% 22.75/5.91 | (1216) all_0_15_15 = e3
% 22.75/5.91 |
% 22.75/5.91 | Equations (1216) can reduce 295 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (357) ~ (all_0_12_12 = e4)
% 22.75/5.91 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (363), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (252) all_0_14_14 = e4
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (224,252) yields a new equation:
% 22.75/5.91 | (254) e4 = e2
% 22.75/5.91 |
% 22.75/5.91 | Equations (254) can reduce 194 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (256) ~ (all_0_14_14 = e4)
% 22.75/5.91 | (391) all_0_15_15 = e4
% 22.75/5.91 |
% 22.75/5.91 | Equations (391) can reduce 179 to:
% 22.75/5.91 | (97) ~ (all_0_13_13 = e4)
% 22.75/5.91 |
% 22.75/5.91 | Equations (391) can reduce 40 to:
% 22.75/5.91 | (262) ~ (all_0_20_20 = e4)
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 262 yields:
% 22.75/5.91 | (263) ~ (all_0_20_20 = e4)
% 22.75/5.91 |
% 22.75/5.91 | Equations (391) can reduce 151 to:
% 22.75/5.91 | (4) ~ (e4 = e0)
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (140), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (372) all_0_3_3 = e3
% 22.75/5.91 |
% 22.75/5.91 | Equations (372) can reduce 85 to:
% 22.75/5.91 | (414) ~ (all_0_0_0 = e3)
% 22.75/5.91 |
% 22.75/5.91 | Equations (372) can reduce 1220 to:
% 22.75/5.91 | (408) ~ (e4 = e3)
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 408 yields:
% 22.75/5.91 | (23) ~ (e4 = e3)
% 22.75/5.91 |
% 22.75/5.91 | Equations (372) can reduce 213 to:
% 22.75/5.91 | (183) ~ (e3 = e2)
% 22.75/5.91 |
% 22.75/5.91 | Equations (372) can reduce 193 to:
% 22.75/5.91 | (54) ~ (e3 = e0)
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (18), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (523) all_0_20_20 = e1
% 22.75/5.91 |
% 22.75/5.91 | Equations (523) can reduce 197 to:
% 22.75/5.91 | (1015) ~ (all_0_17_17 = e1)
% 22.75/5.91 |
% 22.75/5.91 | Equations (523) can reduce 158 to:
% 22.75/5.91 | (382) ~ (all_0_19_19 = e1)
% 22.75/5.91 |
% 22.75/5.91 | Equations (523) can reduce 263 to:
% 22.75/5.91 | (383) ~ (e4 = e1)
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 383 yields:
% 22.75/5.91 | (207) ~ (e4 = e1)
% 22.75/5.91 |
% 22.75/5.91 | Equations (523) can reduce 297 to:
% 22.75/5.91 | (528) ~ (e3 = e1)
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 528 yields:
% 22.75/5.91 | (111) ~ (e3 = e1)
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (104), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (695) all_0_3_3 = e1
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (695,372) yields a new equation:
% 22.75/5.91 | (420) e3 = e1
% 22.75/5.91 |
% 22.75/5.91 | Equations (420) can reduce 111 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (698) ~ (all_0_3_3 = e1)
% 22.75/5.91 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (59), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (1820) all_0_17_17 = e2
% 22.75/5.91 |
% 22.75/5.91 | Equations (1820) can reduce 315 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (315) ~ (all_0_17_17 = e2)
% 22.75/5.91 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (2066), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (380) all_0_10_10 = e1
% 22.75/5.91 |
% 22.75/5.91 | Equations (380) can reduce 38 to:
% 22.75/5.91 | (614) ~ (all_0_8_8 = e1)
% 22.75/5.91 |
% 22.75/5.91 | Equations (380) can reduce 206 to:
% 22.75/5.91 | (381) ~ (all_0_19_19 = e1)
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 381 yields:
% 22.75/5.91 | (382) ~ (all_0_19_19 = e1)
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (115), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (364) all_0_3_3 = e4
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (364,372) yields a new equation:
% 22.75/5.91 | (1217) e4 = e3
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 1217 yields:
% 22.75/5.91 | (373) e4 = e3
% 22.75/5.91 |
% 22.75/5.91 | Equations (373) can reduce 23 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (1220) ~ (all_0_3_3 = e4)
% 22.75/5.91 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (49), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (353) all_0_8_8 = e4
% 22.75/5.91 |
% 22.75/5.91 | Equations (353) can reduce 614 to:
% 22.75/5.91 | (207) ~ (e4 = e1)
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (138), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (535) all_0_4_4 = e2
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (1221), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (377) all_0_10_10 = e4
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (380,377) yields a new equation:
% 22.75/5.91 | (494) e4 = e1
% 22.75/5.91 |
% 22.75/5.91 | Equations (494) can reduce 207 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (355) ~ (all_0_10_10 = e4)
% 22.75/5.91 | (1225) all_0_19_19 = e4
% 22.75/5.91 |
% 22.75/5.91 | Equations (1225) can reduce 382 to:
% 22.75/5.91 | (207) ~ (e4 = e1)
% 22.75/5.91 |
% 22.75/5.91 | Equations (1225) can reduce 11 to:
% 22.75/5.91 | (4) ~ (e4 = e0)
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (72), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (433), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (434), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (435), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.75/5.91 |
% 22.75/5.91 | Applying alpha-rule on (436) yields:
% 22.75/5.91 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.75/5.91 | (438) ~ (unit = e4)
% 22.75/5.91 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.75/5.91 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.75/5.91 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.75/5.91 | (442) ~ (all_0_15_15 = e4)
% 22.75/5.91 | (280) all_0_5_5 = e3
% 22.75/5.91 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.75/5.91 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.75/5.91 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.75/5.91 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.75/5.91 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (267,280) yields a new equation:
% 22.75/5.91 | (282) e3 = e0
% 22.75/5.91 |
% 22.75/5.91 | Equations (282) can reduce 54 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.75/5.91 |
% 22.75/5.91 | Applying alpha-rule on (452) yields:
% 22.75/5.91 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.75/5.91 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.75/5.91 | (422) ~ (all_0_12_12 = e1)
% 22.75/5.91 | (212) all_0_6_6 = e2
% 22.75/5.91 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.75/5.91 | (458) ~ (all_0_13_13 = e1)
% 22.75/5.91 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.75/5.91 | (460) ~ (all_0_9_9 = e1)
% 22.75/5.91 | (461) ~ (all_0_20_20 = e1)
% 22.75/5.91 | (462) ~ (all_0_11_11 = e1)
% 22.75/5.91 | (463) ~ (unit = e1)
% 22.75/5.91 | (464) ~ (all_0_4_4 = e1)
% 22.75/5.91 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.75/5.91 |
% 22.75/5.91 | Equations (523) can reduce 461 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.75/5.91 |
% 22.75/5.91 | Applying alpha-rule on (467) yields:
% 22.75/5.91 | (468) ~ (all_0_7_7 = e3)
% 22.75/5.91 | (405) ~ (all_0_16_16 = e3)
% 22.75/5.91 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.75/5.91 | (295) ~ (all_0_15_15 = e3)
% 22.75/5.91 | (472) ~ (all_0_12_12 = e3)
% 22.75/5.91 | (289) ~ (all_0_6_6 = e3)
% 22.75/5.91 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.75/5.91 | (475) ~ (unit = e3)
% 22.75/5.91 | (307) all_0_9_9 = e2
% 22.75/5.91 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.75/5.91 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.75/5.91 | (414) ~ (all_0_0_0 = e3)
% 22.75/5.91 |
% 22.75/5.91 | Equations (290) can reduce 468 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.75/5.91 |
% 22.75/5.91 | Applying alpha-rule on (481) yields:
% 22.75/5.91 | (482) all_0_15_15 = e1
% 22.75/5.91 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.75/5.91 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.75/5.91 | (329) ~ (all_0_9_9 = e0)
% 22.75/5.91 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.75/5.91 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.75/5.91 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.75/5.91 | (489) ~ (unit = e0)
% 22.75/5.91 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.75/5.91 | (491) ~ (all_0_5_5 = e0)
% 22.75/5.91 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (391,482) yields a new equation:
% 22.75/5.91 | (493) e4 = e1
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 493 yields:
% 22.75/5.91 | (494) e4 = e1
% 22.75/5.91 |
% 22.75/5.91 | Equations (494) can reduce 207 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.75/5.91 |
% 22.75/5.91 | Applying alpha-rule on (496) yields:
% 22.75/5.91 | (308) ~ (all_0_1_1 = e2)
% 22.75/5.91 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.75/5.91 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.75/5.91 | (214) ~ (all_0_5_5 = e2)
% 22.75/5.91 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.75/5.91 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.75/5.91 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.75/5.91 | (213) ~ (all_0_3_3 = e2)
% 22.75/5.91 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.75/5.91 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.75/5.91 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.75/5.91 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.75/5.91 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.75/5.91 | (309) ~ (all_0_8_8 = e2)
% 22.75/5.91 | (220) ~ (all_0_19_19 = e2)
% 22.75/5.91 | (315) ~ (all_0_17_17 = e2)
% 22.75/5.91 | (216) ~ (all_0_7_7 = e2)
% 22.75/5.91 | (218) ~ (all_0_10_10 = e2)
% 22.75/5.91 | (227) ~ (all_0_13_13 = e2)
% 22.75/5.91 | (229) ~ (all_0_15_15 = e2)
% 22.75/5.91 | (313) ~ (all_0_11_11 = e2)
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (507), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (625) ~ (all_0_4_4 = e2)
% 22.75/5.91 |
% 22.75/5.91 | Equations (535) can reduce 625 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (535) all_0_4_4 = e2
% 22.75/5.91 | (4429) all_0_2_2 = e0 & ~ (unit = e2)
% 22.75/5.91 |
% 22.75/5.91 | Applying alpha-rule on (4429) yields:
% 22.75/5.91 | (236) all_0_2_2 = e0
% 22.75/5.91 | (547) ~ (unit = e2)
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (246,236) yields a new equation:
% 22.75/5.91 | (247) e4 = e0
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 247 yields:
% 22.75/5.91 | (248) e4 = e0
% 22.75/5.91 |
% 22.75/5.91 | Equations (248) can reduce 4 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (625) ~ (all_0_4_4 = e2)
% 22.75/5.91 | (740) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (1221), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (377) all_0_10_10 = e4
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (377,380) yields a new equation:
% 22.75/5.91 | (493) e4 = e1
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 493 yields:
% 22.75/5.91 | (494) e4 = e1
% 22.75/5.91 |
% 22.75/5.91 | Equations (494) can reduce 207 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (355) ~ (all_0_10_10 = e4)
% 22.75/5.91 | (1225) all_0_19_19 = e4
% 22.75/5.91 |
% 22.75/5.91 | Equations (1225) can reduce 382 to:
% 22.75/5.91 | (207) ~ (e4 = e1)
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (740), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (812) all_0_7_7 = e2
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (290,812) yields a new equation:
% 22.75/5.91 | (400) e3 = e2
% 22.75/5.91 |
% 22.75/5.91 | Simplifying 400 yields:
% 22.75/5.91 | (287) e3 = e2
% 22.75/5.91 |
% 22.75/5.91 | Equations (287) can reduce 183 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (216) ~ (all_0_7_7 = e2)
% 22.75/5.91 | (817) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (817), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (818) all_0_11_11 = e2
% 22.75/5.91 |
% 22.75/5.91 | Combining equations (343,818) yields a new equation:
% 22.75/5.91 | (327) e2 = e0
% 22.75/5.91 |
% 22.75/5.91 | Equations (327) can reduce 39 to:
% 22.75/5.91 | (243) $false
% 22.75/5.91 |
% 22.75/5.91 |-The branch is then unsatisfiable
% 22.75/5.91 |-Branch two:
% 22.75/5.91 | (313) ~ (all_0_11_11 = e2)
% 22.75/5.91 | (822) all_0_15_15 = e2 | all_0_20_20 = e2
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (72), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (433), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.75/5.91 |
% 22.75/5.91 +-Applying beta-rule and splitting (434), into two cases.
% 22.75/5.91 |-Branch one:
% 22.75/5.91 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (435), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (436) yields:
% 22.75/5.92 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.75/5.92 | (438) ~ (unit = e4)
% 22.75/5.92 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.75/5.92 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.75/5.92 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.75/5.92 | (442) ~ (all_0_15_15 = e4)
% 22.75/5.92 | (280) all_0_5_5 = e3
% 22.75/5.92 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.75/5.92 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.75/5.92 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.75/5.92 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.75/5.92 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.75/5.92 |
% 22.75/5.92 | Combining equations (280,267) yields a new equation:
% 22.75/5.92 | (281) e3 = e0
% 22.75/5.92 |
% 22.75/5.92 | Simplifying 281 yields:
% 22.75/5.92 | (282) e3 = e0
% 22.75/5.92 |
% 22.75/5.92 | Equations (282) can reduce 54 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (452) yields:
% 22.75/5.92 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.75/5.92 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.75/5.92 | (422) ~ (all_0_12_12 = e1)
% 22.75/5.92 | (212) all_0_6_6 = e2
% 22.75/5.92 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.75/5.92 | (458) ~ (all_0_13_13 = e1)
% 22.75/5.92 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.75/5.92 | (460) ~ (all_0_9_9 = e1)
% 22.75/5.92 | (461) ~ (all_0_20_20 = e1)
% 22.75/5.92 | (462) ~ (all_0_11_11 = e1)
% 22.75/5.92 | (463) ~ (unit = e1)
% 22.75/5.92 | (464) ~ (all_0_4_4 = e1)
% 22.75/5.92 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.75/5.92 |
% 22.75/5.92 | Equations (523) can reduce 461 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (467) yields:
% 22.75/5.92 | (468) ~ (all_0_7_7 = e3)
% 22.75/5.92 | (405) ~ (all_0_16_16 = e3)
% 22.75/5.92 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.75/5.92 | (295) ~ (all_0_15_15 = e3)
% 22.75/5.92 | (472) ~ (all_0_12_12 = e3)
% 22.75/5.92 | (289) ~ (all_0_6_6 = e3)
% 22.75/5.92 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.75/5.92 | (475) ~ (unit = e3)
% 22.75/5.92 | (307) all_0_9_9 = e2
% 22.75/5.92 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.75/5.92 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.75/5.92 | (414) ~ (all_0_0_0 = e3)
% 22.75/5.92 |
% 22.75/5.92 | Equations (290) can reduce 468 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (481) yields:
% 22.75/5.92 | (482) all_0_15_15 = e1
% 22.75/5.92 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.75/5.92 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.75/5.92 | (329) ~ (all_0_9_9 = e0)
% 22.75/5.92 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.75/5.92 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.75/5.92 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.75/5.92 | (489) ~ (unit = e0)
% 22.75/5.92 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.75/5.92 | (491) ~ (all_0_5_5 = e0)
% 22.75/5.92 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.75/5.92 |
% 22.75/5.92 | Combining equations (391,482) yields a new equation:
% 22.75/5.92 | (493) e4 = e1
% 22.75/5.92 |
% 22.75/5.92 | Simplifying 493 yields:
% 22.75/5.92 | (494) e4 = e1
% 22.75/5.92 |
% 22.75/5.92 | Equations (494) can reduce 207 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (496) yields:
% 22.75/5.92 | (308) ~ (all_0_1_1 = e2)
% 22.75/5.92 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.75/5.92 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.75/5.92 | (214) ~ (all_0_5_5 = e2)
% 22.75/5.92 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.75/5.92 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.75/5.92 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.75/5.92 | (213) ~ (all_0_3_3 = e2)
% 22.75/5.92 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.75/5.92 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.75/5.92 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.75/5.92 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.75/5.92 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.75/5.92 | (309) ~ (all_0_8_8 = e2)
% 22.75/5.92 | (220) ~ (all_0_19_19 = e2)
% 22.75/5.92 | (315) ~ (all_0_17_17 = e2)
% 22.75/5.92 | (216) ~ (all_0_7_7 = e2)
% 22.75/5.92 | (218) ~ (all_0_10_10 = e2)
% 22.75/5.92 | (227) ~ (all_0_13_13 = e2)
% 22.75/5.92 | (229) ~ (all_0_15_15 = e2)
% 22.75/5.92 | (313) ~ (all_0_11_11 = e2)
% 22.75/5.92 |
% 22.75/5.92 | Equations (380) can reduce 218 to:
% 22.75/5.92 | (530) ~ (e2 = e1)
% 22.75/5.92 |
% 22.75/5.92 | Simplifying 530 yields:
% 22.75/5.92 | (114) ~ (e2 = e1)
% 22.75/5.92 |
% 22.75/5.92 | Equations (1225) can reduce 220 to:
% 22.75/5.92 | (194) ~ (e4 = e2)
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (822), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (823) all_0_15_15 = e2
% 22.75/5.92 |
% 22.75/5.92 | Combining equations (391,823) yields a new equation:
% 22.75/5.92 | (253) e4 = e2
% 22.75/5.92 |
% 22.75/5.92 | Simplifying 253 yields:
% 22.75/5.92 | (254) e4 = e2
% 22.75/5.92 |
% 22.75/5.92 | Equations (254) can reduce 194 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (229) ~ (all_0_15_15 = e2)
% 22.75/5.92 | (784) all_0_20_20 = e2
% 22.75/5.92 |
% 22.75/5.92 | Combining equations (784,523) yields a new equation:
% 22.75/5.92 | (559) e2 = e1
% 22.75/5.92 |
% 22.75/5.92 | Simplifying 559 yields:
% 22.75/5.92 | (560) e2 = e1
% 22.75/5.92 |
% 22.75/5.92 | Equations (560) can reduce 114 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (1227) ~ (all_0_8_8 = e4)
% 22.75/5.92 | (1228) all_0_10_10 = e4 | all_0_11_11 = e4
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (198), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (727) all_0_8_8 = e2
% 22.75/5.92 |
% 22.75/5.92 | Equations (727) can reduce 309 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (309) ~ (all_0_8_8 = e2)
% 22.75/5.92 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (83), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (672) all_0_0_0 = e2
% 22.75/5.92 |
% 22.75/5.92 | Equations (672) can reduce 188 to:
% 22.75/5.92 | (1540) ~ (all_0_16_16 = e2)
% 22.75/5.92 |
% 22.75/5.92 | Simplifying 1540 yields:
% 22.75/5.92 | (542) ~ (all_0_16_16 = e2)
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (72), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (433), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (434), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (435), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (436) yields:
% 22.75/5.92 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.75/5.92 | (438) ~ (unit = e4)
% 22.75/5.92 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.75/5.92 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.75/5.92 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.75/5.92 | (442) ~ (all_0_15_15 = e4)
% 22.75/5.92 | (280) all_0_5_5 = e3
% 22.75/5.92 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.75/5.92 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.75/5.92 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.75/5.92 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.75/5.92 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.75/5.92 |
% 22.75/5.92 | Combining equations (280,267) yields a new equation:
% 22.75/5.92 | (281) e3 = e0
% 22.75/5.92 |
% 22.75/5.92 | Simplifying 281 yields:
% 22.75/5.92 | (282) e3 = e0
% 22.75/5.92 |
% 22.75/5.92 | Equations (282) can reduce 54 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (452) yields:
% 22.75/5.92 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.75/5.92 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.75/5.92 | (422) ~ (all_0_12_12 = e1)
% 22.75/5.92 | (212) all_0_6_6 = e2
% 22.75/5.92 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.75/5.92 | (458) ~ (all_0_13_13 = e1)
% 22.75/5.92 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.75/5.92 | (460) ~ (all_0_9_9 = e1)
% 22.75/5.92 | (461) ~ (all_0_20_20 = e1)
% 22.75/5.92 | (462) ~ (all_0_11_11 = e1)
% 22.75/5.92 | (463) ~ (unit = e1)
% 22.75/5.92 | (464) ~ (all_0_4_4 = e1)
% 22.75/5.92 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.75/5.92 |
% 22.75/5.92 | Equations (523) can reduce 461 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (467) yields:
% 22.75/5.92 | (468) ~ (all_0_7_7 = e3)
% 22.75/5.92 | (405) ~ (all_0_16_16 = e3)
% 22.75/5.92 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.75/5.92 | (295) ~ (all_0_15_15 = e3)
% 22.75/5.92 | (472) ~ (all_0_12_12 = e3)
% 22.75/5.92 | (289) ~ (all_0_6_6 = e3)
% 22.75/5.92 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.75/5.92 | (475) ~ (unit = e3)
% 22.75/5.92 | (307) all_0_9_9 = e2
% 22.75/5.92 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.75/5.92 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.75/5.92 | (414) ~ (all_0_0_0 = e3)
% 22.75/5.92 |
% 22.75/5.92 | Equations (290) can reduce 468 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (481) yields:
% 22.75/5.92 | (482) all_0_15_15 = e1
% 22.75/5.92 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.75/5.92 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.75/5.92 | (329) ~ (all_0_9_9 = e0)
% 22.75/5.92 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.75/5.92 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.75/5.92 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.75/5.92 | (489) ~ (unit = e0)
% 22.75/5.92 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.75/5.92 | (491) ~ (all_0_5_5 = e0)
% 22.75/5.92 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.75/5.92 |
% 22.75/5.92 | Combining equations (391,482) yields a new equation:
% 22.75/5.92 | (493) e4 = e1
% 22.75/5.92 |
% 22.75/5.92 | Simplifying 493 yields:
% 22.75/5.92 | (494) e4 = e1
% 22.75/5.92 |
% 22.75/5.92 | Equations (494) can reduce 207 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.75/5.92 |
% 22.75/5.92 | Applying alpha-rule on (496) yields:
% 22.75/5.92 | (308) ~ (all_0_1_1 = e2)
% 22.75/5.92 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.75/5.92 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.75/5.92 | (214) ~ (all_0_5_5 = e2)
% 22.75/5.92 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.75/5.92 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.75/5.92 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.75/5.92 | (213) ~ (all_0_3_3 = e2)
% 22.75/5.92 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.75/5.92 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.75/5.92 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.75/5.92 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.75/5.92 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.75/5.92 | (309) ~ (all_0_8_8 = e2)
% 22.75/5.92 | (220) ~ (all_0_19_19 = e2)
% 22.75/5.92 | (315) ~ (all_0_17_17 = e2)
% 22.75/5.92 | (216) ~ (all_0_7_7 = e2)
% 22.75/5.92 | (218) ~ (all_0_10_10 = e2)
% 22.75/5.92 | (227) ~ (all_0_13_13 = e2)
% 22.75/5.92 | (229) ~ (all_0_15_15 = e2)
% 22.75/5.92 | (313) ~ (all_0_11_11 = e2)
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (120), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (532) all_0_16_16 = e2
% 22.75/5.92 |
% 22.75/5.92 | Equations (532) can reduce 542 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (542) ~ (all_0_16_16 = e2)
% 22.75/5.92 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (671), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (1820) all_0_17_17 = e2
% 22.75/5.92 |
% 22.75/5.92 | Equations (1820) can reduce 315 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (315) ~ (all_0_17_17 = e2)
% 22.75/5.92 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (2810), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (1012) all_0_17_17 = e1
% 22.75/5.92 |
% 22.75/5.92 | Equations (1012) can reduce 1015 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (1015) ~ (all_0_17_17 = e1)
% 22.75/5.92 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.75/5.92 |
% 22.75/5.92 +-Applying beta-rule and splitting (2871), into two cases.
% 22.75/5.92 |-Branch one:
% 22.75/5.92 | (330) all_0_17_17 = e0
% 22.75/5.92 |
% 22.75/5.92 | Equations (330) can reduce 2482 to:
% 22.75/5.92 | (243) $false
% 22.75/5.92 |
% 22.75/5.92 |-The branch is then unsatisfiable
% 22.75/5.92 |-Branch two:
% 22.75/5.92 | (2482) ~ (all_0_17_17 = e0)
% 22.75/5.92 | (1181) all_0_17_17 = e3
% 22.75/5.92 |
% 22.75/5.93 | Equations (1181) can reduce 211 to:
% 22.75/5.93 | (405) ~ (all_0_16_16 = e3)
% 22.75/5.93 |
% 22.75/5.93 | Equations (1181) can reduce 22 to:
% 22.75/5.93 | (4879) ~ (all_0_19_19 = e3)
% 22.75/5.93 |
% 22.75/5.93 | Simplifying 4879 yields:
% 22.75/5.93 | (2877) ~ (all_0_19_19 = e3)
% 22.75/5.93 |
% 22.75/5.93 | Equations (1181) can reduce 315 to:
% 22.75/5.93 | (183) ~ (e3 = e2)
% 22.75/5.93 |
% 22.75/5.93 | Equations (1181) can reduce 2482 to:
% 22.75/5.93 | (54) ~ (e3 = e0)
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (129), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (413) all_0_12_12 = e3
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (1221), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (377) all_0_10_10 = e4
% 22.75/5.93 |
% 22.75/5.93 | Combining equations (380,377) yields a new equation:
% 22.75/5.93 | (494) e4 = e1
% 22.75/5.93 |
% 22.75/5.93 | Equations (494) can reduce 207 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (355) ~ (all_0_10_10 = e4)
% 22.75/5.93 | (1225) all_0_19_19 = e4
% 22.75/5.93 |
% 22.75/5.93 | Equations (1225) can reduce 79 to:
% 22.75/5.93 | (258) ~ (all_0_16_16 = e4)
% 22.75/5.93 |
% 22.75/5.93 | Equations (1225) can reduce 2877 to:
% 22.75/5.93 | (23) ~ (e4 = e3)
% 22.75/5.93 |
% 22.75/5.93 | Equations (1225) can reduce 220 to:
% 22.75/5.93 | (194) ~ (e4 = e2)
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (63), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (1659) all_0_0_0 = e4
% 22.75/5.93 |
% 22.75/5.93 | Combining equations (1659,672) yields a new equation:
% 22.75/5.93 | (253) e4 = e2
% 22.75/5.93 |
% 22.75/5.93 | Simplifying 253 yields:
% 22.75/5.93 | (254) e4 = e2
% 22.75/5.93 |
% 22.75/5.93 | Equations (254) can reduce 194 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (1663) ~ (all_0_0_0 = e4)
% 22.75/5.93 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (1678), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (353) all_0_8_8 = e4
% 22.75/5.93 |
% 22.75/5.93 | Equations (353) can reduce 1227 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (1227) ~ (all_0_8_8 = e4)
% 22.75/5.93 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (1695), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (360) all_0_12_12 = e4
% 22.75/5.93 |
% 22.75/5.93 | Combining equations (413,360) yields a new equation:
% 22.75/5.93 | (373) e4 = e3
% 22.75/5.93 |
% 22.75/5.93 | Equations (373) can reduce 23 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (357) ~ (all_0_12_12 = e4)
% 22.75/5.93 | (1894) all_0_16_16 = e4
% 22.75/5.93 |
% 22.75/5.93 | Equations (1894) can reduce 258 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (472) ~ (all_0_12_12 = e3)
% 22.75/5.93 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (170), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (788) all_0_0_0 = e3
% 22.75/5.93 |
% 22.75/5.93 | Combining equations (788,672) yields a new equation:
% 22.75/5.93 | (400) e3 = e2
% 22.75/5.93 |
% 22.75/5.93 | Simplifying 400 yields:
% 22.75/5.93 | (287) e3 = e2
% 22.75/5.93 |
% 22.75/5.93 | Equations (287) can reduce 183 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (414) ~ (all_0_0_0 = e3)
% 22.75/5.93 | (1186) all_0_5_5 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (1186), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (280) all_0_5_5 = e3
% 22.75/5.93 |
% 22.75/5.93 | Combining equations (267,280) yields a new equation:
% 22.75/5.93 | (282) e3 = e0
% 22.75/5.93 |
% 22.75/5.93 | Equations (282) can reduce 54 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (284) ~ (all_0_5_5 = e3)
% 22.75/5.93 | (1197) all_0_12_12 = e3 | all_0_16_16 = e3
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (1197), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (413) all_0_12_12 = e3
% 22.75/5.93 |
% 22.75/5.93 | Equations (413) can reduce 472 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (472) ~ (all_0_12_12 = e3)
% 22.75/5.93 | (1202) all_0_16_16 = e3
% 22.75/5.93 |
% 22.75/5.93 | Equations (1202) can reduce 405 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (536) ~ (all_0_0_0 = e2)
% 22.75/5.93 | (711) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (136), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (672) all_0_0_0 = e2
% 22.75/5.93 |
% 22.75/5.93 | Equations (672) can reduce 536 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (536) ~ (all_0_0_0 = e2)
% 22.75/5.93 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (702), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (722) all_0_5_5 = e2
% 22.75/5.93 |
% 22.75/5.93 | Combining equations (722,267) yields a new equation:
% 22.75/5.93 | (339) e2 = e0
% 22.75/5.93 |
% 22.75/5.93 | Simplifying 339 yields:
% 22.75/5.93 | (327) e2 = e0
% 22.75/5.93 |
% 22.75/5.93 | Equations (327) can reduce 39 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (214) ~ (all_0_5_5 = e2)
% 22.75/5.93 | (726) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (726), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (727) all_0_8_8 = e2
% 22.75/5.93 |
% 22.75/5.93 | Equations (727) can reduce 309 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (309) ~ (all_0_8_8 = e2)
% 22.75/5.93 | (731) all_0_12_12 = e2 | all_0_16_16 = e2
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (731), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (732) all_0_12_12 = e2
% 22.75/5.93 |
% 22.75/5.93 | Equations (732) can reduce 226 to:
% 22.75/5.93 | (243) $false
% 22.75/5.93 |
% 22.75/5.93 |-The branch is then unsatisfiable
% 22.75/5.93 |-Branch two:
% 22.75/5.93 | (226) ~ (all_0_12_12 = e2)
% 22.75/5.93 | (532) all_0_16_16 = e2
% 22.75/5.93 |
% 22.75/5.93 +-Applying beta-rule and splitting (72), into two cases.
% 22.75/5.93 |-Branch one:
% 22.75/5.93 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.88/5.93 |
% 22.88/5.93 +-Applying beta-rule and splitting (433), into two cases.
% 22.88/5.93 |-Branch one:
% 22.88/5.93 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.88/5.93 |
% 22.88/5.93 +-Applying beta-rule and splitting (434), into two cases.
% 22.88/5.93 |-Branch one:
% 22.88/5.93 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.88/5.93 |
% 22.88/5.93 +-Applying beta-rule and splitting (435), into two cases.
% 22.88/5.93 |-Branch one:
% 22.88/5.93 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.88/5.93 |
% 22.88/5.93 | Applying alpha-rule on (436) yields:
% 22.88/5.93 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.88/5.93 | (438) ~ (unit = e4)
% 22.88/5.93 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.88/5.93 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.88/5.93 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.88/5.93 | (442) ~ (all_0_15_15 = e4)
% 22.88/5.93 | (280) all_0_5_5 = e3
% 22.88/5.93 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.88/5.93 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.88/5.93 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.88/5.93 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.88/5.93 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.88/5.93 |
% 22.88/5.93 | Combining equations (280,267) yields a new equation:
% 22.88/5.93 | (281) e3 = e0
% 22.88/5.93 |
% 22.88/5.93 | Simplifying 281 yields:
% 22.88/5.93 | (282) e3 = e0
% 22.88/5.93 |
% 22.88/5.93 | Equations (282) can reduce 54 to:
% 22.88/5.93 | (243) $false
% 22.88/5.93 |
% 22.88/5.93 |-The branch is then unsatisfiable
% 22.88/5.93 |-Branch two:
% 22.88/5.93 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.88/5.93 |
% 22.88/5.93 | Applying alpha-rule on (452) yields:
% 22.88/5.93 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.88/5.93 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.88/5.93 | (422) ~ (all_0_12_12 = e1)
% 22.88/5.93 | (212) all_0_6_6 = e2
% 22.88/5.93 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.88/5.93 | (458) ~ (all_0_13_13 = e1)
% 22.88/5.93 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.88/5.93 | (460) ~ (all_0_9_9 = e1)
% 22.88/5.93 | (461) ~ (all_0_20_20 = e1)
% 22.88/5.93 | (462) ~ (all_0_11_11 = e1)
% 22.88/5.93 | (463) ~ (unit = e1)
% 22.88/5.93 | (464) ~ (all_0_4_4 = e1)
% 22.88/5.93 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.88/5.93 |
% 22.88/5.93 | Equations (523) can reduce 461 to:
% 22.88/5.93 | (243) $false
% 22.88/5.93 |
% 22.88/5.93 |-The branch is then unsatisfiable
% 22.88/5.93 |-Branch two:
% 22.88/5.93 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.88/5.93 |
% 22.88/5.93 | Applying alpha-rule on (467) yields:
% 22.88/5.93 | (468) ~ (all_0_7_7 = e3)
% 22.88/5.93 | (405) ~ (all_0_16_16 = e3)
% 22.88/5.93 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.88/5.93 | (295) ~ (all_0_15_15 = e3)
% 22.88/5.93 | (472) ~ (all_0_12_12 = e3)
% 22.88/5.93 | (289) ~ (all_0_6_6 = e3)
% 22.88/5.93 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.88/5.93 | (475) ~ (unit = e3)
% 22.88/5.93 | (307) all_0_9_9 = e2
% 22.88/5.93 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.88/5.93 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.88/5.93 | (414) ~ (all_0_0_0 = e3)
% 22.88/5.93 |
% 22.88/5.93 | Equations (290) can reduce 468 to:
% 22.88/5.93 | (243) $false
% 22.88/5.93 |
% 22.88/5.93 |-The branch is then unsatisfiable
% 22.88/5.93 |-Branch two:
% 22.88/5.93 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.88/5.93 |
% 22.88/5.93 | Applying alpha-rule on (481) yields:
% 22.88/5.93 | (482) all_0_15_15 = e1
% 22.88/5.93 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.88/5.93 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.88/5.93 | (329) ~ (all_0_9_9 = e0)
% 22.88/5.93 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.88/5.93 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.88/5.93 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.88/5.93 | (489) ~ (unit = e0)
% 22.88/5.93 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.88/5.93 | (491) ~ (all_0_5_5 = e0)
% 22.88/5.93 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.88/5.93 |
% 22.88/5.93 | Combining equations (391,482) yields a new equation:
% 22.88/5.93 | (493) e4 = e1
% 22.88/5.93 |
% 22.88/5.93 | Simplifying 493 yields:
% 22.88/5.93 | (494) e4 = e1
% 22.88/5.93 |
% 22.88/5.93 | Equations (494) can reduce 207 to:
% 22.88/5.93 | (243) $false
% 22.88/5.93 |
% 22.88/5.93 |-The branch is then unsatisfiable
% 22.88/5.93 |-Branch two:
% 22.88/5.93 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.88/5.93 |
% 22.88/5.93 | Applying alpha-rule on (496) yields:
% 22.88/5.93 | (308) ~ (all_0_1_1 = e2)
% 22.88/5.93 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.88/5.93 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.88/5.93 | (214) ~ (all_0_5_5 = e2)
% 22.88/5.93 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.88/5.93 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.88/5.93 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.88/5.93 | (213) ~ (all_0_3_3 = e2)
% 22.88/5.93 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.88/5.93 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.88/5.93 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.88/5.93 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.88/5.93 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.88/5.93 | (309) ~ (all_0_8_8 = e2)
% 22.88/5.93 | (220) ~ (all_0_19_19 = e2)
% 22.88/5.93 | (315) ~ (all_0_17_17 = e2)
% 22.88/5.93 | (216) ~ (all_0_7_7 = e2)
% 22.88/5.93 | (218) ~ (all_0_10_10 = e2)
% 22.88/5.93 | (227) ~ (all_0_13_13 = e2)
% 22.88/5.93 | (229) ~ (all_0_15_15 = e2)
% 22.88/5.93 | (313) ~ (all_0_11_11 = e2)
% 22.88/5.93 |
% 22.88/5.93 | Equations (391) can reduce 229 to:
% 22.88/5.93 | (194) ~ (e4 = e2)
% 22.88/5.93 |
% 22.88/5.93 +-Applying beta-rule and splitting (66), into two cases.
% 22.88/5.93 |-Branch one:
% 22.88/5.93 | (1894) all_0_16_16 = e4
% 22.88/5.93 |
% 22.88/5.93 | Combining equations (532,1894) yields a new equation:
% 22.88/5.93 | (254) e4 = e2
% 22.88/5.93 |
% 22.88/5.93 | Equations (254) can reduce 194 to:
% 22.88/5.93 | (243) $false
% 22.88/5.93 |
% 22.88/5.93 |-The branch is then unsatisfiable
% 22.88/5.93 |-Branch two:
% 22.88/5.93 | (258) ~ (all_0_16_16 = e4)
% 22.88/5.93 | (5036) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 22.88/5.93 |
% 22.88/5.93 +-Applying beta-rule and splitting (5036), into two cases.
% 22.88/5.93 |-Branch one:
% 22.88/5.93 | (257) all_0_18_18 = e4
% 22.88/5.93 |
% 22.88/5.93 | Combining equations (832,257) yields a new equation:
% 22.88/5.93 | (248) e4 = e0
% 22.88/5.93 |
% 22.88/5.93 | Equations (248) can reduce 4 to:
% 22.88/5.93 | (243) $false
% 22.88/5.93 |
% 22.88/5.93 |-The branch is then unsatisfiable
% 22.88/5.93 |-Branch two:
% 22.88/5.93 | (3165) ~ (all_0_18_18 = e4)
% 22.88/5.93 | (5041) all_0_19_19 = e4 | all_0_20_20 = e4
% 22.88/5.93 |
% 22.88/5.93 +-Applying beta-rule and splitting (5041), into two cases.
% 22.88/5.93 |-Branch one:
% 22.88/5.93 | (1225) all_0_19_19 = e4
% 22.88/5.93 |
% 22.88/5.93 | Equations (1225) can reduce 11 to:
% 22.88/5.93 | (4) ~ (e4 = e0)
% 22.88/5.93 |
% 22.88/5.94 +-Applying beta-rule and splitting (509), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (542) ~ (all_0_16_16 = e2)
% 22.88/5.94 |
% 22.88/5.94 | Equations (532) can reduce 542 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (532) all_0_16_16 = e2
% 22.88/5.94 | (545) all_0_18_18 = e4 & ~ (unit = e2)
% 22.88/5.94 |
% 22.88/5.94 | Applying alpha-rule on (545) yields:
% 22.88/5.94 | (257) all_0_18_18 = e4
% 22.88/5.94 | (547) ~ (unit = e2)
% 22.88/5.94 |
% 22.88/5.94 | Combining equations (257,832) yields a new equation:
% 22.88/5.94 | (247) e4 = e0
% 22.88/5.94 |
% 22.88/5.94 | Simplifying 247 yields:
% 22.88/5.94 | (248) e4 = e0
% 22.88/5.94 |
% 22.88/5.94 | Equations (248) can reduce 4 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (261) ~ (all_0_19_19 = e4)
% 22.88/5.94 | (792) all_0_20_20 = e4
% 22.88/5.94 |
% 22.88/5.94 | Combining equations (523,792) yields a new equation:
% 22.88/5.94 | (494) e4 = e1
% 22.88/5.94 |
% 22.88/5.94 | Equations (494) can reduce 207 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (2075) ~ (all_0_10_10 = e1)
% 22.88/5.94 | (1017) all_0_19_19 = e1
% 22.88/5.94 |
% 22.88/5.94 | Equations (1017) can reduce 382 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (461) ~ (all_0_20_20 = e1)
% 22.88/5.94 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (780), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (788) all_0_0_0 = e3
% 22.88/5.94 |
% 22.88/5.94 | Equations (788) can reduce 414 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (414) ~ (all_0_0_0 = e3)
% 22.88/5.94 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (791), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 22.88/5.94 |
% 22.88/5.94 | Applying alpha-rule on (796) yields:
% 22.88/5.94 | (797) all_0_0_0 = e0
% 22.88/5.94 | (792) all_0_20_20 = e4
% 22.88/5.94 | (392) ~ (all_0_4_4 = e4)
% 22.88/5.94 |
% 22.88/5.94 | Equations (792) can reduce 263 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 22.88/5.94 |
% 22.88/5.94 | Applying alpha-rule on (801) yields:
% 22.88/5.94 | (797) all_0_0_0 = e0
% 22.88/5.94 | (792) all_0_20_20 = e4
% 22.88/5.94 | (276) ~ (all_0_16_16 = e0)
% 22.88/5.94 |
% 22.88/5.94 | Equations (792) can reduce 263 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (375) ~ (all_0_3_3 = e3)
% 22.88/5.94 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (74), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (788) all_0_0_0 = e3
% 22.88/5.94 |
% 22.88/5.94 | Equations (788) can reduce 80 to:
% 22.88/5.94 | (3108) ~ (all_0_12_12 = e3)
% 22.88/5.94 |
% 22.88/5.94 | Simplifying 3108 yields:
% 22.88/5.94 | (472) ~ (all_0_12_12 = e3)
% 22.88/5.94 |
% 22.88/5.94 | Equations (788) can reduce 1663 to:
% 22.88/5.94 | (408) ~ (e4 = e3)
% 22.88/5.94 |
% 22.88/5.94 | Simplifying 408 yields:
% 22.88/5.94 | (23) ~ (e4 = e3)
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (136), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (672) all_0_0_0 = e2
% 22.88/5.94 |
% 22.88/5.94 | Combining equations (672,788) yields a new equation:
% 22.88/5.94 | (287) e3 = e2
% 22.88/5.94 |
% 22.88/5.94 | Equations (287) can reduce 183 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (536) ~ (all_0_0_0 = e2)
% 22.88/5.94 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.88/5.94 |
% 22.88/5.94 | Equations (788) can reduce 536 to:
% 22.88/5.94 | (183) ~ (e3 = e2)
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (376), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (286) all_0_6_6 = e3
% 22.88/5.94 |
% 22.88/5.94 | Combining equations (286,212) yields a new equation:
% 22.88/5.94 | (400) e3 = e2
% 22.88/5.94 |
% 22.88/5.94 | Simplifying 400 yields:
% 22.88/5.94 | (287) e3 = e2
% 22.88/5.94 |
% 22.88/5.94 | Equations (287) can reduce 183 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (289) ~ (all_0_6_6 = e3)
% 22.88/5.94 | (404) all_0_19_19 = e3
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (115), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (364) all_0_3_3 = e4
% 22.88/5.94 |
% 22.88/5.94 | Equations (364) can reduce 1220 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (1220) ~ (all_0_3_3 = e4)
% 22.88/5.94 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (129), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (413) all_0_12_12 = e3
% 22.88/5.94 |
% 22.88/5.94 | Equations (413) can reduce 472 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (472) ~ (all_0_12_12 = e3)
% 22.88/5.94 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (871), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (868) all_0_13_13 = e3
% 22.88/5.94 |
% 22.88/5.94 | Equations (868) can reduce 97 to:
% 22.88/5.94 | (408) ~ (e4 = e3)
% 22.88/5.94 |
% 22.88/5.94 | Simplifying 408 yields:
% 22.88/5.94 | (23) ~ (e4 = e3)
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (91), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (418) all_0_12_12 = e1
% 22.88/5.94 |
% 22.88/5.94 | Equations (418) can reduce 174 to:
% 22.88/5.94 | (614) ~ (all_0_8_8 = e1)
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (198), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (727) all_0_8_8 = e2
% 22.88/5.94 |
% 22.88/5.94 | Equations (727) can reduce 309 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (309) ~ (all_0_8_8 = e2)
% 22.88/5.94 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (1221), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (377) all_0_10_10 = e4
% 22.88/5.94 |
% 22.88/5.94 | Equations (377) can reduce 38 to:
% 22.88/5.94 | (1227) ~ (all_0_8_8 = e4)
% 22.88/5.94 |
% 22.88/5.94 +-Applying beta-rule and splitting (164), into two cases.
% 22.88/5.94 |-Branch one:
% 22.88/5.94 | (611) all_0_8_8 = e1
% 22.88/5.94 |
% 22.88/5.94 | Equations (611) can reduce 614 to:
% 22.88/5.94 | (243) $false
% 22.88/5.94 |
% 22.88/5.94 |-The branch is then unsatisfiable
% 22.88/5.94 |-Branch two:
% 22.88/5.94 | (614) ~ (all_0_8_8 = e1)
% 22.88/5.94 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (1232), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (353) all_0_8_8 = e4
% 22.92/5.94 |
% 22.92/5.94 | Equations (353) can reduce 1227 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (1227) ~ (all_0_8_8 = e4)
% 22.92/5.94 | (2388) all_0_8_8 = e1 | all_0_8_8 = e0
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (2388), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (611) all_0_8_8 = e1
% 22.92/5.94 |
% 22.92/5.94 | Equations (611) can reduce 614 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (614) ~ (all_0_8_8 = e1)
% 22.92/5.94 | (318) all_0_8_8 = e0
% 22.92/5.94 |
% 22.92/5.94 | Equations (318) can reduce 272 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (355) ~ (all_0_10_10 = e4)
% 22.92/5.94 | (1225) all_0_19_19 = e4
% 22.92/5.94 |
% 22.92/5.94 | Combining equations (1225,404) yields a new equation:
% 22.92/5.94 | (1217) e4 = e3
% 22.92/5.94 |
% 22.92/5.94 | Simplifying 1217 yields:
% 22.92/5.94 | (373) e4 = e3
% 22.92/5.94 |
% 22.92/5.94 | Equations (373) can reduce 23 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (422) ~ (all_0_12_12 = e1)
% 22.92/5.94 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (423), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (429) all_0_13_13 = e1
% 22.92/5.94 |
% 22.92/5.94 | Combining equations (429,868) yields a new equation:
% 22.92/5.94 | (420) e3 = e1
% 22.92/5.94 |
% 22.92/5.94 | Equations (420) can reduce 111 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (458) ~ (all_0_13_13 = e1)
% 22.92/5.94 | (482) all_0_15_15 = e1
% 22.92/5.94 |
% 22.92/5.94 | Combining equations (391,482) yields a new equation:
% 22.92/5.94 | (493) e4 = e1
% 22.92/5.94 |
% 22.92/5.94 | Simplifying 493 yields:
% 22.92/5.94 | (494) e4 = e1
% 22.92/5.94 |
% 22.92/5.94 | Equations (494) can reduce 207 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (416) ~ (all_0_13_13 = e3)
% 22.92/5.94 | (1216) all_0_15_15 = e3
% 22.92/5.94 |
% 22.92/5.94 | Combining equations (1216,391) yields a new equation:
% 22.92/5.94 | (373) e4 = e3
% 22.92/5.94 |
% 22.92/5.94 | Equations (373) can reduce 23 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.94 | (853) all_0_1_1 = e3 | all_0_3_3 = e3 | all_0_4_4 = e3
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (64), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (755) all_0_3_3 = e2
% 22.92/5.94 |
% 22.92/5.94 | Equations (755) can reduce 213 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (213) ~ (all_0_3_3 = e2)
% 22.92/5.94 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (18), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (523) all_0_20_20 = e1
% 22.92/5.94 |
% 22.92/5.94 | Equations (523) can reduce 197 to:
% 22.92/5.94 | (1015) ~ (all_0_17_17 = e1)
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (2070), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (364) all_0_3_3 = e4
% 22.92/5.94 |
% 22.92/5.94 | Equations (364) can reduce 1220 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (1220) ~ (all_0_3_3 = e4)
% 22.92/5.94 | (2377) all_0_3_3 = e3 | all_0_3_3 = e1
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (59), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (1820) all_0_17_17 = e2
% 22.92/5.94 |
% 22.92/5.94 | Equations (1820) can reduce 315 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (315) ~ (all_0_17_17 = e2)
% 22.92/5.94 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (2377), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (695) all_0_3_3 = e1
% 22.92/5.94 |
% 22.92/5.94 | Equations (695) can reduce 87 to:
% 22.92/5.94 | (2730) ~ (all_0_10_10 = e1)
% 22.92/5.94 |
% 22.92/5.94 | Simplifying 2730 yields:
% 22.92/5.94 | (2075) ~ (all_0_10_10 = e1)
% 22.92/5.94 |
% 22.92/5.94 | Equations (695) can reduce 135 to:
% 22.92/5.94 | (381) ~ (all_0_19_19 = e1)
% 22.92/5.94 |
% 22.92/5.94 | Simplifying 381 yields:
% 22.92/5.94 | (382) ~ (all_0_19_19 = e1)
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (2810), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (1012) all_0_17_17 = e1
% 22.92/5.94 |
% 22.92/5.94 | Equations (1012) can reduce 1015 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (1015) ~ (all_0_17_17 = e1)
% 22.92/5.94 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (2871), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (330) all_0_17_17 = e0
% 22.92/5.94 |
% 22.92/5.94 | Equations (330) can reduce 2482 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (2482) ~ (all_0_17_17 = e0)
% 22.92/5.94 | (1181) all_0_17_17 = e3
% 22.92/5.94 |
% 22.92/5.94 | Equations (1181) can reduce 22 to:
% 22.92/5.94 | (4879) ~ (all_0_19_19 = e3)
% 22.92/5.94 |
% 22.92/5.94 | Simplifying 4879 yields:
% 22.92/5.94 | (2877) ~ (all_0_19_19 = e3)
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (65), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (1262) all_0_19_19 = e2
% 22.92/5.94 |
% 22.92/5.94 | Equations (1262) can reduce 220 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (220) ~ (all_0_19_19 = e2)
% 22.92/5.94 | (1265) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (1265), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (1225) all_0_19_19 = e4
% 22.92/5.94 |
% 22.92/5.94 | Equations (1225) can reduce 206 to:
% 22.92/5.94 | (355) ~ (all_0_10_10 = e4)
% 22.92/5.94 |
% 22.92/5.94 | Equations (1225) can reduce 11 to:
% 22.92/5.94 | (4) ~ (e4 = e0)
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (49), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (353) all_0_8_8 = e4
% 22.92/5.94 |
% 22.92/5.94 | Equations (353) can reduce 38 to:
% 22.92/5.94 | (354) ~ (all_0_10_10 = e4)
% 22.92/5.94 |
% 22.92/5.94 | Simplifying 354 yields:
% 22.92/5.94 | (355) ~ (all_0_10_10 = e4)
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (306), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (377) all_0_10_10 = e4
% 22.92/5.94 |
% 22.92/5.94 | Equations (377) can reduce 355 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (355) ~ (all_0_10_10 = e4)
% 22.92/5.94 | (380) all_0_10_10 = e1
% 22.92/5.94 |
% 22.92/5.94 | Equations (380) can reduce 2075 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (1227) ~ (all_0_8_8 = e4)
% 22.92/5.94 | (1228) all_0_10_10 = e4 | all_0_11_11 = e4
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (1228), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (377) all_0_10_10 = e4
% 22.92/5.94 |
% 22.92/5.94 | Equations (377) can reduce 355 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (355) ~ (all_0_10_10 = e4)
% 22.92/5.94 | (2395) all_0_11_11 = e4
% 22.92/5.94 |
% 22.92/5.94 | Combining equations (343,2395) yields a new equation:
% 22.92/5.94 | (248) e4 = e0
% 22.92/5.94 |
% 22.92/5.94 | Equations (248) can reduce 4 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (261) ~ (all_0_19_19 = e4)
% 22.92/5.94 | (1269) all_0_19_19 = e3 | all_0_19_19 = e1
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (1269), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (1017) all_0_19_19 = e1
% 22.92/5.94 |
% 22.92/5.94 | Equations (1017) can reduce 382 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (382) ~ (all_0_19_19 = e1)
% 22.92/5.94 | (404) all_0_19_19 = e3
% 22.92/5.94 |
% 22.92/5.94 | Equations (404) can reduce 2877 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (698) ~ (all_0_3_3 = e1)
% 22.92/5.94 | (372) all_0_3_3 = e3
% 22.92/5.94 |
% 22.92/5.94 | Equations (372) can reduce 375 to:
% 22.92/5.94 | (243) $false
% 22.92/5.94 |
% 22.92/5.94 |-The branch is then unsatisfiable
% 22.92/5.94 |-Branch two:
% 22.92/5.94 | (461) ~ (all_0_20_20 = e1)
% 22.92/5.94 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.92/5.94 |
% 22.92/5.94 +-Applying beta-rule and splitting (170), into two cases.
% 22.92/5.94 |-Branch one:
% 22.92/5.94 | (788) all_0_0_0 = e3
% 22.92/5.94 |
% 22.92/5.94 | Equations (788) can reduce 414 to:
% 22.92/5.94 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.95 | (1186) all_0_5_5 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (780), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (788) all_0_0_0 = e3
% 22.92/5.95 |
% 22.92/5.95 | Equations (788) can reduce 414 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.95 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (791), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 22.92/5.95 |
% 22.92/5.95 | Applying alpha-rule on (796) yields:
% 22.92/5.95 | (797) all_0_0_0 = e0
% 22.92/5.95 | (792) all_0_20_20 = e4
% 22.92/5.95 | (392) ~ (all_0_4_4 = e4)
% 22.92/5.95 |
% 22.92/5.95 | Equations (792) can reduce 263 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 22.92/5.95 |
% 22.92/5.95 | Applying alpha-rule on (801) yields:
% 22.92/5.95 | (797) all_0_0_0 = e0
% 22.92/5.95 | (792) all_0_20_20 = e4
% 22.92/5.95 | (276) ~ (all_0_16_16 = e0)
% 22.92/5.95 |
% 22.92/5.95 | Equations (792) can reduce 263 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (2480) ~ (all_0_11_11 = e0)
% 22.92/5.95 | (1492) all_0_20_20 = e0
% 22.92/5.95 |
% 22.92/5.95 | Equations (1492) can reduce 349 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (237) ~ (all_0_1_1 = e0)
% 22.92/5.95 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (325), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (326) all_0_9_9 = e0
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (326,307) yields a new equation:
% 22.92/5.95 | (327) e2 = e0
% 22.92/5.95 |
% 22.92/5.95 | Equations (327) can reduce 39 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (329) ~ (all_0_9_9 = e0)
% 22.92/5.95 | (330) all_0_17_17 = e0
% 22.92/5.95 |
% 22.92/5.95 | Equations (330) can reduce 2482 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (2398) ~ (all_0_9_9 = e2)
% 22.92/5.95 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (2), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (727) all_0_8_8 = e2
% 22.92/5.95 |
% 22.92/5.95 | Equations (727) can reduce 146 to:
% 22.92/5.95 | (536) ~ (all_0_0_0 = e2)
% 22.92/5.95 |
% 22.92/5.95 | Equations (727) can reduce 3 to:
% 22.92/5.95 | (2401) ~ (all_0_9_9 = e2)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 2401 yields:
% 22.92/5.95 | (2398) ~ (all_0_9_9 = e2)
% 22.92/5.95 |
% 22.92/5.95 | Equations (727) can reduce 38 to:
% 22.92/5.95 | (217) ~ (all_0_10_10 = e2)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 217 yields:
% 22.92/5.95 | (218) ~ (all_0_10_10 = e2)
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (72), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (433), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (434), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (435), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.92/5.95 |
% 22.92/5.95 | Applying alpha-rule on (436) yields:
% 22.92/5.95 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.92/5.95 | (438) ~ (unit = e4)
% 22.92/5.95 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.92/5.95 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.92/5.95 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.92/5.95 | (442) ~ (all_0_15_15 = e4)
% 22.92/5.95 | (280) all_0_5_5 = e3
% 22.92/5.95 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.92/5.95 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.92/5.95 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.92/5.95 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.92/5.95 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (280,267) yields a new equation:
% 22.92/5.95 | (281) e3 = e0
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 281 yields:
% 22.92/5.95 | (282) e3 = e0
% 22.92/5.95 |
% 22.92/5.95 | Equations (282) can reduce 54 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.92/5.95 |
% 22.92/5.95 | Applying alpha-rule on (452) yields:
% 22.92/5.95 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.92/5.95 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.92/5.95 | (422) ~ (all_0_12_12 = e1)
% 22.92/5.95 | (212) all_0_6_6 = e2
% 22.92/5.95 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.92/5.95 | (458) ~ (all_0_13_13 = e1)
% 22.92/5.95 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.92/5.95 | (460) ~ (all_0_9_9 = e1)
% 22.92/5.95 | (461) ~ (all_0_20_20 = e1)
% 22.92/5.95 | (462) ~ (all_0_11_11 = e1)
% 22.92/5.95 | (463) ~ (unit = e1)
% 22.92/5.95 | (464) ~ (all_0_4_4 = e1)
% 22.92/5.95 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (91), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (418) all_0_12_12 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (418) can reduce 422 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (422) ~ (all_0_12_12 = e1)
% 22.92/5.95 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (423), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (429) all_0_13_13 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (429) can reduce 458 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (458) ~ (all_0_13_13 = e1)
% 22.92/5.95 | (482) all_0_15_15 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (482) can reduce 25 to:
% 22.92/5.95 | (462) ~ (all_0_11_11 = e1)
% 22.92/5.95 |
% 22.92/5.95 | Equations (482) can reduce 36 to:
% 22.92/5.95 | (422) ~ (all_0_12_12 = e1)
% 22.92/5.95 |
% 22.92/5.95 | Equations (482) can reduce 295 to:
% 22.92/5.95 | (528) ~ (e3 = e1)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 528 yields:
% 22.92/5.95 | (111) ~ (e3 = e1)
% 22.92/5.95 |
% 22.92/5.95 | Equations (482) can reduce 229 to:
% 22.92/5.95 | (530) ~ (e2 = e1)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 530 yields:
% 22.92/5.95 | (114) ~ (e2 = e1)
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (150), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (360) all_0_12_12 = e4
% 22.92/5.95 |
% 22.92/5.95 | Equations (360) can reduce 80 to:
% 22.92/5.95 | (1663) ~ (all_0_0_0 = e4)
% 22.92/5.95 |
% 22.92/5.95 | Equations (360) can reduce 88 to:
% 22.92/5.95 | (3937) ~ (all_0_13_13 = e4)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 3937 yields:
% 22.92/5.95 | (97) ~ (all_0_13_13 = e4)
% 22.92/5.95 |
% 22.92/5.95 | Equations (360) can reduce 422 to:
% 22.92/5.95 | (207) ~ (e4 = e1)
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (164), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (611) all_0_8_8 = e1
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (727,611) yields a new equation:
% 22.92/5.95 | (559) e2 = e1
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 559 yields:
% 22.92/5.95 | (560) e2 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (560) can reduce 114 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (614) ~ (all_0_8_8 = e1)
% 22.92/5.95 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (459), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (595) ~ (all_0_0_0 = e1)
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (129), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (413) all_0_12_12 = e3
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (360,413) yields a new equation:
% 22.92/5.95 | (1217) e4 = e3
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 1217 yields:
% 22.92/5.95 | (373) e4 = e3
% 22.92/5.95 |
% 22.92/5.95 | Equations (373) can reduce 23 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (472) ~ (all_0_12_12 = e3)
% 22.92/5.95 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (871), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (868) all_0_13_13 = e3
% 22.92/5.95 |
% 22.92/5.95 | Equations (868) can reduce 97 to:
% 22.92/5.95 | (408) ~ (e4 = e3)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 408 yields:
% 22.92/5.95 | (23) ~ (e4 = e3)
% 22.92/5.95 |
% 22.92/5.95 | Equations (868) can reduce 21 to:
% 22.92/5.95 | (54) ~ (e3 = e0)
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (2384), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (1290) all_0_9_9 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (1290) can reduce 460 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (460) ~ (all_0_9_9 = e1)
% 22.92/5.95 | (2470) all_0_10_10 = e1 | all_0_11_11 = e1
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (2470), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (380) all_0_10_10 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (380) can reduce 141 to:
% 22.92/5.95 | (528) ~ (e3 = e1)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 528 yields:
% 22.92/5.95 | (111) ~ (e3 = e1)
% 22.92/5.95 |
% 22.92/5.95 | Equations (380) can reduce 218 to:
% 22.92/5.95 | (530) ~ (e2 = e1)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 530 yields:
% 22.92/5.95 | (114) ~ (e2 = e1)
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (37), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (538) all_0_0_0 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (538) can reduce 595 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (595) ~ (all_0_0_0 = e1)
% 22.92/5.95 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (600), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (611) all_0_8_8 = e1
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (611,727) yields a new equation:
% 22.92/5.95 | (560) e2 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (560) can reduce 114 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (614) ~ (all_0_8_8 = e1)
% 22.92/5.95 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (615), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (418) all_0_12_12 = e1
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (360,418) yields a new equation:
% 22.92/5.95 | (493) e4 = e1
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 493 yields:
% 22.92/5.95 | (494) e4 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (494) can reduce 207 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (422) ~ (all_0_12_12 = e1)
% 22.92/5.95 | (621) all_0_16_16 = e1
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (170), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (788) all_0_0_0 = e3
% 22.92/5.95 |
% 22.92/5.95 | Equations (788) can reduce 85 to:
% 22.92/5.95 | (2761) ~ (all_0_3_3 = e3)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 2761 yields:
% 22.92/5.95 | (375) ~ (all_0_3_3 = e3)
% 22.92/5.95 |
% 22.92/5.95 | Equations (788) can reduce 1663 to:
% 22.92/5.95 | (408) ~ (e4 = e3)
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 408 yields:
% 22.92/5.95 | (23) ~ (e4 = e3)
% 22.92/5.95 |
% 22.92/5.95 | Equations (788) can reduce 536 to:
% 22.92/5.95 | (183) ~ (e3 = e2)
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (453), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (525) ~ (all_0_16_16 = e1)
% 22.92/5.95 |
% 22.92/5.95 | Equations (621) can reduce 525 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (621) all_0_16_16 = e1
% 22.92/5.95 | (1225) all_0_19_19 = e4
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (140), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (372) all_0_3_3 = e3
% 22.92/5.95 |
% 22.92/5.95 | Equations (372) can reduce 375 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (375) ~ (all_0_3_3 = e3)
% 22.92/5.95 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (376), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (286) all_0_6_6 = e3
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (286,212) yields a new equation:
% 22.92/5.95 | (400) e3 = e2
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 400 yields:
% 22.92/5.95 | (287) e3 = e2
% 22.92/5.95 |
% 22.92/5.95 | Equations (287) can reduce 183 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (289) ~ (all_0_6_6 = e3)
% 22.92/5.95 | (404) all_0_19_19 = e3
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (404,1225) yields a new equation:
% 22.92/5.95 | (373) e4 = e3
% 22.92/5.95 |
% 22.92/5.95 | Equations (373) can reduce 23 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.95 | (1186) all_0_5_5 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (1186), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (280) all_0_5_5 = e3
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (280,267) yields a new equation:
% 22.92/5.95 | (281) e3 = e0
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 281 yields:
% 22.92/5.95 | (282) e3 = e0
% 22.92/5.95 |
% 22.92/5.95 | Equations (282) can reduce 54 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (284) ~ (all_0_5_5 = e3)
% 22.92/5.95 | (1197) all_0_12_12 = e3 | all_0_16_16 = e3
% 22.92/5.95 |
% 22.92/5.95 +-Applying beta-rule and splitting (1197), into two cases.
% 22.92/5.95 |-Branch one:
% 22.92/5.95 | (413) all_0_12_12 = e3
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (360,413) yields a new equation:
% 22.92/5.95 | (1217) e4 = e3
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 1217 yields:
% 22.92/5.95 | (373) e4 = e3
% 22.92/5.95 |
% 22.92/5.95 | Equations (373) can reduce 23 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (472) ~ (all_0_12_12 = e3)
% 22.92/5.95 | (1202) all_0_16_16 = e3
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (1202,621) yields a new equation:
% 22.92/5.95 | (419) e3 = e1
% 22.92/5.95 |
% 22.92/5.95 | Simplifying 419 yields:
% 22.92/5.95 | (420) e3 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (420) can reduce 111 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (2075) ~ (all_0_10_10 = e1)
% 22.92/5.95 | (1145) all_0_11_11 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (1145) can reduce 462 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (416) ~ (all_0_13_13 = e3)
% 22.92/5.95 | (1216) all_0_15_15 = e3
% 22.92/5.95 |
% 22.92/5.95 | Combining equations (482,1216) yields a new equation:
% 22.92/5.95 | (420) e3 = e1
% 22.92/5.95 |
% 22.92/5.95 | Equations (420) can reduce 111 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (538) all_0_0_0 = e1
% 22.92/5.95 | (364) all_0_3_3 = e4
% 22.92/5.95 |
% 22.92/5.95 | Equations (364) can reduce 1220 to:
% 22.92/5.95 | (243) $false
% 22.92/5.95 |
% 22.92/5.95 |-The branch is then unsatisfiable
% 22.92/5.95 |-Branch two:
% 22.92/5.95 | (357) ~ (all_0_12_12 = e4)
% 22.92/5.96 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (363), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (252) all_0_14_14 = e4
% 22.92/5.96 |
% 22.92/5.96 | Combining equations (252,224) yields a new equation:
% 22.92/5.96 | (253) e4 = e2
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 253 yields:
% 22.92/5.96 | (254) e4 = e2
% 22.92/5.96 |
% 22.92/5.96 | Equations (254) can reduce 194 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (256) ~ (all_0_14_14 = e4)
% 22.92/5.96 | (391) all_0_15_15 = e4
% 22.92/5.96 |
% 22.92/5.96 | Combining equations (482,391) yields a new equation:
% 22.92/5.96 | (494) e4 = e1
% 22.92/5.96 |
% 22.92/5.96 | Equations (494) can reduce 207 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Applying alpha-rule on (467) yields:
% 22.92/5.96 | (468) ~ (all_0_7_7 = e3)
% 22.92/5.96 | (405) ~ (all_0_16_16 = e3)
% 22.92/5.96 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.92/5.96 | (295) ~ (all_0_15_15 = e3)
% 22.92/5.96 | (472) ~ (all_0_12_12 = e3)
% 22.92/5.96 | (289) ~ (all_0_6_6 = e3)
% 22.92/5.96 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.92/5.96 | (475) ~ (unit = e3)
% 22.92/5.96 | (307) all_0_9_9 = e2
% 22.92/5.96 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.92/5.96 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.92/5.96 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.96 |
% 22.92/5.96 | Equations (307) can reduce 2398 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Applying alpha-rule on (481) yields:
% 22.92/5.96 | (482) all_0_15_15 = e1
% 22.92/5.96 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.92/5.96 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.92/5.96 | (329) ~ (all_0_9_9 = e0)
% 22.92/5.96 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.92/5.96 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.92/5.96 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.92/5.96 | (489) ~ (unit = e0)
% 22.92/5.96 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.92/5.96 | (491) ~ (all_0_5_5 = e0)
% 22.92/5.96 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.92/5.96 |
% 22.92/5.96 | Equations (267) can reduce 491 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.92/5.96 |
% 22.92/5.96 | Applying alpha-rule on (496) yields:
% 22.92/5.96 | (308) ~ (all_0_1_1 = e2)
% 22.92/5.96 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.92/5.96 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.92/5.96 | (214) ~ (all_0_5_5 = e2)
% 22.92/5.96 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.92/5.96 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.92/5.96 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.92/5.96 | (213) ~ (all_0_3_3 = e2)
% 22.92/5.96 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.92/5.96 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.92/5.96 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.92/5.96 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.92/5.96 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.92/5.96 | (309) ~ (all_0_8_8 = e2)
% 22.92/5.96 | (220) ~ (all_0_19_19 = e2)
% 22.92/5.96 | (315) ~ (all_0_17_17 = e2)
% 22.92/5.96 | (216) ~ (all_0_7_7 = e2)
% 22.92/5.96 | (218) ~ (all_0_10_10 = e2)
% 22.92/5.96 | (227) ~ (all_0_13_13 = e2)
% 22.92/5.96 | (229) ~ (all_0_15_15 = e2)
% 22.92/5.96 | (313) ~ (all_0_11_11 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Equations (727) can reduce 309 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (309) ~ (all_0_8_8 = e2)
% 22.92/5.96 | (2629) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (2629), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (307) all_0_9_9 = e2
% 22.92/5.96 |
% 22.92/5.96 | Equations (307) can reduce 2398 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (2398) ~ (all_0_9_9 = e2)
% 22.92/5.96 | (2633) all_0_10_10 = e2 | all_0_11_11 = e2
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (2633), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (303) all_0_10_10 = e2
% 22.92/5.96 |
% 22.92/5.96 | Equations (303) can reduce 218 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (218) ~ (all_0_10_10 = e2)
% 22.92/5.96 | (818) all_0_11_11 = e2
% 22.92/5.96 |
% 22.92/5.96 | Equations (818) can reduce 82 to:
% 22.92/5.96 | (625) ~ (all_0_4_4 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Equations (818) can reduce 7 to:
% 22.92/5.96 | (309) ~ (all_0_8_8 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Equations (818) can reduce 155 to:
% 22.92/5.96 | (218) ~ (all_0_10_10 = e2)
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (132), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (318) all_0_8_8 = e0
% 22.92/5.96 |
% 22.92/5.96 | Equations (318) can reduce 272 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (272) ~ (all_0_8_8 = e0)
% 22.92/5.96 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (321), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (326) all_0_9_9 = e0
% 22.92/5.96 |
% 22.92/5.96 | Equations (326) can reduce 110 to:
% 22.92/5.96 | (237) ~ (all_0_1_1 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Equations (326) can reduce 56 to:
% 22.92/5.96 | (2481) ~ (all_0_17_17 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 2481 yields:
% 22.92/5.96 | (2482) ~ (all_0_17_17 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Equations (326) can reduce 127 to:
% 22.92/5.96 | (334) ~ (e4 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 334 yields:
% 22.92/5.96 | (4) ~ (e4 = e0)
% 22.92/5.96 |
% 22.92/5.96 | From (326) and (44) follows:
% 22.92/5.96 | (2653) op(e2, e3) = e0
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (191), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (638) all_0_4_4 = e0
% 22.92/5.96 |
% 22.92/5.96 | Equations (638) can reduce 93 to:
% 22.92/5.96 | (268) ~ (all_0_0_0 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Equations (638) can reduce 33 to:
% 22.92/5.96 | (237) ~ (all_0_1_1 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Equations (638) can reduce 86 to:
% 22.92/5.96 | (193) ~ (all_0_3_3 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Equations (638) can reduce 392 to:
% 22.92/5.96 | (334) ~ (e4 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 334 yields:
% 22.92/5.96 | (4) ~ (e4 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Equations (638) can reduce 291 to:
% 22.92/5.96 | (240) ~ (e3 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 240 yields:
% 22.92/5.96 | (54) ~ (e3 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Equations (638) can reduce 625 to:
% 22.92/5.96 | (277) ~ (e2 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 277 yields:
% 22.92/5.96 | (39) ~ (e2 = e0)
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (72), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (433), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (434), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (435), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.92/5.96 |
% 22.92/5.96 | Applying alpha-rule on (436) yields:
% 22.92/5.96 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.92/5.96 | (438) ~ (unit = e4)
% 22.92/5.96 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.92/5.96 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.92/5.96 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.92/5.96 | (442) ~ (all_0_15_15 = e4)
% 22.92/5.96 | (280) all_0_5_5 = e3
% 22.92/5.96 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.92/5.96 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.92/5.96 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.92/5.96 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.92/5.96 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.92/5.96 |
% 22.92/5.96 | Combining equations (267,280) yields a new equation:
% 22.92/5.96 | (282) e3 = e0
% 22.92/5.96 |
% 22.92/5.96 | Equations (282) can reduce 54 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.92/5.96 |
% 22.92/5.96 | Applying alpha-rule on (452) yields:
% 22.92/5.96 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.92/5.96 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.92/5.96 | (422) ~ (all_0_12_12 = e1)
% 22.92/5.96 | (212) all_0_6_6 = e2
% 22.92/5.96 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.92/5.96 | (458) ~ (all_0_13_13 = e1)
% 22.92/5.96 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.92/5.96 | (460) ~ (all_0_9_9 = e1)
% 22.92/5.96 | (461) ~ (all_0_20_20 = e1)
% 22.92/5.96 | (462) ~ (all_0_11_11 = e1)
% 22.92/5.96 | (463) ~ (unit = e1)
% 22.92/5.96 | (464) ~ (all_0_4_4 = e1)
% 22.92/5.96 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (302), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (429) all_0_13_13 = e1
% 22.92/5.96 |
% 22.92/5.96 | Equations (429) can reduce 458 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (458) ~ (all_0_13_13 = e1)
% 22.92/5.96 | (868) all_0_13_13 = e3
% 22.92/5.96 |
% 22.92/5.96 | Equations (868) can reduce 458 to:
% 22.92/5.96 | (111) ~ (e3 = e1)
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (91), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (418) all_0_12_12 = e1
% 22.92/5.96 |
% 22.92/5.96 | Equations (418) can reduce 422 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (422) ~ (all_0_12_12 = e1)
% 22.92/5.96 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (18), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (523) all_0_20_20 = e1
% 22.92/5.96 |
% 22.92/5.96 | Equations (523) can reduce 461 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (461) ~ (all_0_20_20 = e1)
% 22.92/5.96 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (780), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (788) all_0_0_0 = e3
% 22.92/5.96 |
% 22.92/5.96 | Equations (788) can reduce 178 to:
% 22.92/5.96 | (877) ~ (all_0_1_1 = e3)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 877 yields:
% 22.92/5.96 | (842) ~ (all_0_1_1 = e3)
% 22.92/5.96 |
% 22.92/5.96 | Equations (788) can reduce 85 to:
% 22.92/5.96 | (2761) ~ (all_0_3_3 = e3)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 2761 yields:
% 22.92/5.96 | (375) ~ (all_0_3_3 = e3)
% 22.92/5.96 |
% 22.92/5.96 | Equations (788) can reduce 1663 to:
% 22.92/5.96 | (408) ~ (e4 = e3)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 408 yields:
% 22.92/5.96 | (23) ~ (e4 = e3)
% 22.92/5.96 |
% 22.92/5.96 | From (788) and (201) follows:
% 22.92/5.96 | (882) op(e4, e4) = e3
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (465), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (608) ~ (all_0_1_1 = e1)
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (423), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (429) all_0_13_13 = e1
% 22.92/5.96 |
% 22.92/5.96 | Combining equations (429,868) yields a new equation:
% 22.92/5.96 | (420) e3 = e1
% 22.92/5.96 |
% 22.92/5.96 | Equations (420) can reduce 111 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (458) ~ (all_0_13_13 = e1)
% 22.92/5.96 | (482) all_0_15_15 = e1
% 22.92/5.96 |
% 22.92/5.96 | Equations (482) can reduce 40 to:
% 22.92/5.96 | (2079) ~ (all_0_20_20 = e1)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 2079 yields:
% 22.92/5.96 | (461) ~ (all_0_20_20 = e1)
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (52), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (630) all_0_4_4 = e4
% 22.92/5.96 |
% 22.92/5.96 | Combining equations (630,638) yields a new equation:
% 22.92/5.96 | (247) e4 = e0
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 247 yields:
% 22.92/5.96 | (248) e4 = e0
% 22.92/5.96 |
% 22.92/5.96 | Equations (248) can reduce 4 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (392) ~ (all_0_4_4 = e4)
% 22.92/5.96 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (142), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (741) all_0_1_1 = e2
% 22.92/5.96 |
% 22.92/5.96 | Equations (741) can reduce 47 to:
% 22.92/5.96 | (3194) ~ (all_0_3_3 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 3194 yields:
% 22.92/5.96 | (213) ~ (all_0_3_3 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Equations (741) can reduce 73 to:
% 22.92/5.96 | (314) ~ (all_0_17_17 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 314 yields:
% 22.92/5.96 | (315) ~ (all_0_17_17 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Equations (741) can reduce 842 to:
% 22.92/5.96 | (232) ~ (e3 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 232 yields:
% 22.92/5.96 | (183) ~ (e3 = e2)
% 22.92/5.96 |
% 22.92/5.96 | Equations (741) can reduce 237 to:
% 22.92/5.96 | (39) ~ (e2 = e0)
% 22.92/5.96 |
% 22.92/5.96 | From (741) and (133) follows:
% 22.92/5.96 | (2796) op(e4, e3) = e2
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (140), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (372) all_0_3_3 = e3
% 22.92/5.96 |
% 22.92/5.96 | Equations (372) can reduce 375 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (375) ~ (all_0_3_3 = e3)
% 22.92/5.96 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (64), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (755) all_0_3_3 = e2
% 22.92/5.96 |
% 22.92/5.96 | Equations (755) can reduce 213 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (213) ~ (all_0_3_3 = e2)
% 22.92/5.96 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 22.92/5.96 |
% 22.92/5.96 +-Applying beta-rule and splitting (376), into two cases.
% 22.92/5.96 |-Branch one:
% 22.92/5.96 | (286) all_0_6_6 = e3
% 22.92/5.96 |
% 22.92/5.96 | Combining equations (286,212) yields a new equation:
% 22.92/5.96 | (400) e3 = e2
% 22.92/5.96 |
% 22.92/5.96 | Simplifying 400 yields:
% 22.92/5.96 | (287) e3 = e2
% 22.92/5.96 |
% 22.92/5.96 | Equations (287) can reduce 183 to:
% 22.92/5.96 | (243) $false
% 22.92/5.96 |
% 22.92/5.96 |-The branch is then unsatisfiable
% 22.92/5.96 |-Branch two:
% 22.92/5.96 | (289) ~ (all_0_6_6 = e3)
% 22.92/5.96 | (404) all_0_19_19 = e3
% 22.92/5.96 |
% 22.92/5.96 | Equations (404) can reduce 135 to:
% 22.92/5.96 | (375) ~ (all_0_3_3 = e3)
% 22.92/5.96 |
% 22.92/5.96 | Equations (404) can reduce 22 to:
% 22.92/5.97 | (2752) ~ (all_0_17_17 = e3)
% 22.92/5.97 |
% 22.92/5.97 | Equations (404) can reduce 158 to:
% 22.92/5.97 | (296) ~ (all_0_20_20 = e3)
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 296 yields:
% 22.92/5.97 | (297) ~ (all_0_20_20 = e3)
% 22.92/5.97 |
% 22.92/5.97 | Equations (404) can reduce 220 to:
% 22.92/5.97 | (183) ~ (e3 = e2)
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (2070), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (364) all_0_3_3 = e4
% 22.92/5.97 |
% 22.92/5.97 | Equations (364) can reduce 1220 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (1220) ~ (all_0_3_3 = e4)
% 22.92/5.97 | (2377) all_0_3_3 = e3 | all_0_3_3 = e1
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (2377), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (695) all_0_3_3 = e1
% 22.92/5.97 |
% 22.92/5.97 | Equations (695) can reduce 87 to:
% 22.92/5.97 | (2730) ~ (all_0_10_10 = e1)
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 2730 yields:
% 22.92/5.97 | (2075) ~ (all_0_10_10 = e1)
% 22.92/5.97 |
% 22.92/5.97 | Equations (695) can reduce 1220 to:
% 22.92/5.97 | (383) ~ (e4 = e1)
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 383 yields:
% 22.92/5.97 | (207) ~ (e4 = e1)
% 22.92/5.97 |
% 22.92/5.97 | Equations (695) can reduce 213 to:
% 22.92/5.97 | (530) ~ (e2 = e1)
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 530 yields:
% 22.92/5.97 | (114) ~ (e2 = e1)
% 22.92/5.97 |
% 22.92/5.97 | Equations (695) can reduce 193 to:
% 22.92/5.97 | (109) ~ (e1 = e0)
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (59), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (1820) all_0_17_17 = e2
% 22.92/5.97 |
% 22.92/5.97 | Equations (1820) can reduce 315 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (315) ~ (all_0_17_17 = e2)
% 22.92/5.97 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (115), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (364) all_0_3_3 = e4
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (364,695) yields a new equation:
% 22.92/5.97 | (493) e4 = e1
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 493 yields:
% 22.92/5.97 | (494) e4 = e1
% 22.92/5.97 |
% 22.92/5.97 | Equations (494) can reduce 207 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (1220) ~ (all_0_3_3 = e4)
% 22.92/5.97 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (164), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (611) all_0_8_8 = e1
% 22.92/5.97 |
% 22.92/5.97 | Equations (611) can reduce 38 to:
% 22.92/5.97 | (2730) ~ (all_0_10_10 = e1)
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 2730 yields:
% 22.92/5.97 | (2075) ~ (all_0_10_10 = e1)
% 22.92/5.97 |
% 22.92/5.97 | Equations (611) can reduce 309 to:
% 22.92/5.97 | (530) ~ (e2 = e1)
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 530 yields:
% 22.92/5.97 | (114) ~ (e2 = e1)
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (1221), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (377) all_0_10_10 = e4
% 22.92/5.97 |
% 22.92/5.97 | Equations (377) can reduce 218 to:
% 22.92/5.97 | (194) ~ (e4 = e2)
% 22.92/5.97 |
% 22.92/5.97 | Equations (377) can reduce 2075 to:
% 22.92/5.97 | (207) ~ (e4 = e1)
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (2004), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (2395) all_0_11_11 = e4
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (818,2395) yields a new equation:
% 22.92/5.97 | (254) e4 = e2
% 22.92/5.97 |
% 22.92/5.97 | Equations (254) can reduce 194 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (2559) ~ (all_0_11_11 = e4)
% 22.92/5.97 | (3020) all_0_15_15 = e4 | all_0_20_20 = e4
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (3020), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (391) all_0_15_15 = e4
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (391,482) yields a new equation:
% 22.92/5.97 | (493) e4 = e1
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 493 yields:
% 22.92/5.97 | (494) e4 = e1
% 22.92/5.97 |
% 22.92/5.97 | Equations (494) can reduce 207 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (442) ~ (all_0_15_15 = e4)
% 22.92/5.97 | (792) all_0_20_20 = e4
% 22.92/5.97 |
% 22.92/5.97 | Equations (792) can reduce 81 to:
% 22.92/5.97 | (258) ~ (all_0_16_16 = e4)
% 22.92/5.97 |
% 22.92/5.97 | Equations (792) can reduce 297 to:
% 22.92/5.97 | (23) ~ (e4 = e3)
% 22.92/5.97 |
% 22.92/5.97 | Equations (792) can reduce 461 to:
% 22.92/5.97 | (207) ~ (e4 = e1)
% 22.92/5.97 |
% 22.92/5.97 | From (792) and (177) follows:
% 22.92/5.97 | (4292) op(e0, e0) = e4
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (63), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (1659) all_0_0_0 = e4
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (1659,788) yields a new equation:
% 22.92/5.97 | (1217) e4 = e3
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 1217 yields:
% 22.92/5.97 | (373) e4 = e3
% 22.92/5.97 |
% 22.92/5.97 | Equations (373) can reduce 23 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (1663) ~ (all_0_0_0 = e4)
% 22.92/5.97 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (1678), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (353) all_0_8_8 = e4
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (611,353) yields a new equation:
% 22.92/5.97 | (494) e4 = e1
% 22.92/5.97 |
% 22.92/5.97 | Equations (494) can reduce 207 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (1227) ~ (all_0_8_8 = e4)
% 22.92/5.97 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (1695), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (360) all_0_12_12 = e4
% 22.92/5.97 |
% 22.92/5.97 | Equations (360) can reduce 226 to:
% 22.92/5.97 | (194) ~ (e4 = e2)
% 22.92/5.97 |
% 22.92/5.97 | From (360) and (103) follows:
% 22.92/5.97 | (566) op(e1, e4) = e4
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (136), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (672) all_0_0_0 = e2
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (672,788) yields a new equation:
% 22.92/5.97 | (287) e3 = e2
% 22.92/5.97 |
% 22.92/5.97 | Equations (287) can reduce 183 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (536) ~ (all_0_0_0 = e2)
% 22.92/5.97 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (702), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (722) all_0_5_5 = e2
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (267,722) yields a new equation:
% 22.92/5.97 | (327) e2 = e0
% 22.92/5.97 |
% 22.92/5.97 | Equations (327) can reduce 39 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (214) ~ (all_0_5_5 = e2)
% 22.92/5.97 | (726) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (726), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (727) all_0_8_8 = e2
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (727,611) yields a new equation:
% 22.92/5.97 | (559) e2 = e1
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 559 yields:
% 22.92/5.97 | (560) e2 = e1
% 22.92/5.97 |
% 22.92/5.97 | Equations (560) can reduce 114 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (309) ~ (all_0_8_8 = e2)
% 22.92/5.97 | (731) all_0_12_12 = e2 | all_0_16_16 = e2
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (731), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (732) all_0_12_12 = e2
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (360,732) yields a new equation:
% 22.92/5.97 | (253) e4 = e2
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 253 yields:
% 22.92/5.97 | (254) e4 = e2
% 22.92/5.97 |
% 22.92/5.97 | Equations (254) can reduce 194 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (226) ~ (all_0_12_12 = e2)
% 22.92/5.97 | (532) all_0_16_16 = e2
% 22.92/5.97 |
% 22.92/5.97 | From (532) and (101) follows:
% 22.92/5.97 | (534) op(e0, e4) = e2
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (2810), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (1012) all_0_17_17 = e1
% 22.92/5.97 |
% 22.92/5.97 | Equations (1012) can reduce 2482 to:
% 22.92/5.97 | (109) ~ (e1 = e0)
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (46), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (548) unit = e2
% 22.92/5.97 |
% 22.92/5.97 | From (548) and (121) follows:
% 22.92/5.97 | (2816) op(e2, e3) = e3
% 22.92/5.97 |
% 22.92/5.97 | From (548) and (102) follows:
% 22.92/5.97 | (3465) op(e3, e2) = e3
% 22.92/5.97 |
% 22.92/5.97 | From (548) and (139) follows:
% 22.92/5.97 | (2817) op(e2, e2) = e2
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 22.92/5.97 | (420) e3 = e1
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields:
% 22.92/5.97 | (282) e3 = e0
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 22.92/5.97 | (287) e3 = e2
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (420,287) yields a new equation:
% 22.92/5.97 | (560) e2 = e1
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (282,287) yields a new equation:
% 22.92/5.97 | (327) e2 = e0
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (327,560) yields a new equation:
% 22.92/5.97 | (561) e1 = e0
% 22.92/5.97 |
% 22.92/5.97 | Equations (561) can reduce 109 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (547) ~ (unit = e2)
% 22.92/5.97 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (551), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (552) unit = e4
% 22.92/5.97 |
% 22.92/5.97 | From (552) and (184) follows:
% 22.92/5.97 | (4339) op(e4, e2) = e2
% 22.92/5.97 |
% 22.92/5.97 | From (552) and (95) follows:
% 22.92/5.97 | (1036) op(e4, e4) = e4
% 22.92/5.97 |
% 22.92/5.97 | From (552) and (102) follows:
% 22.92/5.97 | (2831) op(e3, e4) = e3
% 22.92/5.97 |
% 22.92/5.97 | From (552) and (172) follows:
% 22.92/5.97 | (2832) op(e1, e4) = e1
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields:
% 22.92/5.97 | (373) e4 = e3
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields:
% 22.92/5.97 | (254) e4 = e2
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields:
% 22.92/5.97 | (282) e3 = e0
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 22.92/5.97 | (494) e4 = e1
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (494,254) yields a new equation:
% 22.92/5.97 | (560) e2 = e1
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (373,254) yields a new equation:
% 22.92/5.97 | (400) e3 = e2
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 400 yields:
% 22.92/5.97 | (287) e3 = e2
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (282,287) yields a new equation:
% 22.92/5.97 | (327) e2 = e0
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (560,327) yields a new equation:
% 22.92/5.97 | (587) e1 = e0
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 587 yields:
% 22.92/5.97 | (561) e1 = e0
% 22.92/5.97 |
% 22.92/5.97 | Equations (561) can reduce 109 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (438) ~ (unit = e4)
% 22.92/5.97 | (564) unit = e3 | unit = e1 | unit = e0
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (564), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (565) unit = e1
% 22.92/5.97 |
% 22.92/5.97 | Equations (565) can reduce 463 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (463) ~ (unit = e1)
% 22.92/5.97 | (576) unit = e3 | unit = e0
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (576), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (577) unit = e0
% 22.92/5.97 |
% 22.92/5.97 | Equations (577) can reduce 547 to:
% 22.92/5.97 | (277) ~ (e2 = e0)
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 277 yields:
% 22.92/5.97 | (39) ~ (e2 = e0)
% 22.92/5.97 |
% 22.92/5.97 | From (577) and (169) follows:
% 22.92/5.97 | (4358) op(e0, e4) = e4
% 22.92/5.97 |
% 22.92/5.97 | From (577) and (175) follows:
% 22.92/5.97 | (4359) op(e0, e0) = e0
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e0, e4, e4, e2 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e2, yields:
% 22.92/5.97 | (254) e4 = e2
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields:
% 22.92/5.97 | (248) e4 = e0
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (248,254) yields a new equation:
% 22.92/5.97 | (327) e2 = e0
% 22.92/5.97 |
% 22.92/5.97 | Equations (327) can reduce 39 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (489) ~ (unit = e0)
% 22.92/5.97 | (591) unit = e3
% 22.92/5.97 |
% 22.92/5.97 | From (591) and (169) follows:
% 22.92/5.97 | (1079) op(e3, e4) = e4
% 22.92/5.97 |
% 22.92/5.97 | From (591) and (100) follows:
% 22.92/5.97 | (592) op(e3, e1) = e1
% 22.92/5.97 |
% 22.92/5.97 | From (591) and (95) follows:
% 22.92/5.97 | (2858) op(e4, e3) = e4
% 22.92/5.97 |
% 22.92/5.97 | From (591) and (102) follows:
% 22.92/5.97 | (1080) op(e3, e3) = e3
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 22.92/5.97 | (254) e4 = e2
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields:
% 22.92/5.97 | (248) e4 = e0
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 22.92/5.97 | (373) e4 = e3
% 22.92/5.97 |
% 22.92/5.97 | Instantiating formula (105) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields:
% 22.92/5.97 | (560) e2 = e1
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (248,373) yields a new equation:
% 22.92/5.97 | (282) e3 = e0
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (254,373) yields a new equation:
% 22.92/5.97 | (287) e3 = e2
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (287,282) yields a new equation:
% 22.92/5.97 | (339) e2 = e0
% 22.92/5.97 |
% 22.92/5.97 | Simplifying 339 yields:
% 22.92/5.97 | (327) e2 = e0
% 22.92/5.97 |
% 22.92/5.97 | Combining equations (327,560) yields a new equation:
% 22.92/5.97 | (561) e1 = e0
% 22.92/5.97 |
% 22.92/5.97 | Equations (561) can reduce 109 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (1015) ~ (all_0_17_17 = e1)
% 22.92/5.97 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.92/5.97 |
% 22.92/5.97 +-Applying beta-rule and splitting (2871), into two cases.
% 22.92/5.97 |-Branch one:
% 22.92/5.97 | (330) all_0_17_17 = e0
% 22.92/5.97 |
% 22.92/5.97 | Equations (330) can reduce 2482 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (2482) ~ (all_0_17_17 = e0)
% 22.92/5.97 | (1181) all_0_17_17 = e3
% 22.92/5.97 |
% 22.92/5.97 | Equations (1181) can reduce 2752 to:
% 22.92/5.97 | (243) $false
% 22.92/5.97 |
% 22.92/5.97 |-The branch is then unsatisfiable
% 22.92/5.97 |-Branch two:
% 22.92/5.97 | (357) ~ (all_0_12_12 = e4)
% 22.92/5.98 | (1894) all_0_16_16 = e4
% 22.92/5.98 |
% 22.92/5.98 | Equations (1894) can reduce 258 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (355) ~ (all_0_10_10 = e4)
% 22.92/5.98 | (1225) all_0_19_19 = e4
% 22.92/5.98 |
% 22.92/5.98 | Combining equations (1225,404) yields a new equation:
% 22.92/5.98 | (1217) e4 = e3
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 1217 yields:
% 22.92/5.98 | (373) e4 = e3
% 22.92/5.98 |
% 22.92/5.98 | Equations (373) can reduce 23 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (614) ~ (all_0_8_8 = e1)
% 22.92/5.98 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (1221), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (377) all_0_10_10 = e4
% 22.92/5.98 |
% 22.92/5.98 | Equations (377) can reduce 2075 to:
% 22.92/5.98 | (207) ~ (e4 = e1)
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (2384), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (1290) all_0_9_9 = e1
% 22.92/5.98 |
% 22.92/5.98 | Combining equations (326,1290) yields a new equation:
% 22.92/5.98 | (561) e1 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (561) can reduce 109 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (460) ~ (all_0_9_9 = e1)
% 22.92/5.98 | (2470) all_0_10_10 = e1 | all_0_11_11 = e1
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (2470), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (380) all_0_10_10 = e1
% 22.92/5.98 |
% 22.92/5.98 | Combining equations (377,380) yields a new equation:
% 22.92/5.98 | (493) e4 = e1
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 493 yields:
% 22.92/5.98 | (494) e4 = e1
% 22.92/5.98 |
% 22.92/5.98 | Equations (494) can reduce 207 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (2075) ~ (all_0_10_10 = e1)
% 22.92/5.98 | (1145) all_0_11_11 = e1
% 22.92/5.98 |
% 22.92/5.98 | Combining equations (1145,818) yields a new equation:
% 22.92/5.98 | (560) e2 = e1
% 22.92/5.98 |
% 22.92/5.98 | Equations (560) can reduce 114 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (355) ~ (all_0_10_10 = e4)
% 22.92/5.98 | (1225) all_0_19_19 = e4
% 22.92/5.98 |
% 22.92/5.98 | Combining equations (1225,404) yields a new equation:
% 22.92/5.98 | (1217) e4 = e3
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 1217 yields:
% 22.92/5.98 | (373) e4 = e3
% 22.92/5.98 |
% 22.92/5.98 | Equations (373) can reduce 23 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (698) ~ (all_0_3_3 = e1)
% 22.92/5.98 | (372) all_0_3_3 = e3
% 22.92/5.98 |
% 22.92/5.98 | Equations (372) can reduce 375 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (308) ~ (all_0_1_1 = e2)
% 22.92/5.98 | (847) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (847), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (605) all_0_1_1 = e1
% 22.92/5.98 |
% 22.92/5.98 | Equations (605) can reduce 608 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (608) ~ (all_0_1_1 = e1)
% 22.92/5.98 | (861) all_0_1_1 = e3 | all_0_1_1 = e0
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (861), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (322) all_0_1_1 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (322) can reduce 237 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (237) ~ (all_0_1_1 = e0)
% 22.92/5.98 | (424) all_0_1_1 = e3
% 22.92/5.98 |
% 22.92/5.98 | Equations (424) can reduce 842 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (605) all_0_1_1 = e1
% 22.92/5.98 | (372) all_0_3_3 = e3
% 22.92/5.98 |
% 22.92/5.98 | Equations (372) can reduce 375 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.98 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (791), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 22.92/5.98 |
% 22.92/5.98 | Applying alpha-rule on (796) yields:
% 22.92/5.98 | (797) all_0_0_0 = e0
% 22.92/5.98 | (792) all_0_20_20 = e4
% 22.92/5.98 | (392) ~ (all_0_4_4 = e4)
% 22.92/5.98 |
% 22.92/5.98 | Equations (797) can reduce 268 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Applying alpha-rule on (801) yields:
% 22.92/5.98 | (797) all_0_0_0 = e0
% 22.92/5.98 | (792) all_0_20_20 = e4
% 22.92/5.98 | (276) ~ (all_0_16_16 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Equations (797) can reduce 268 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Applying alpha-rule on (467) yields:
% 22.92/5.98 | (468) ~ (all_0_7_7 = e3)
% 22.92/5.98 | (405) ~ (all_0_16_16 = e3)
% 22.92/5.98 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.92/5.98 | (295) ~ (all_0_15_15 = e3)
% 22.92/5.98 | (472) ~ (all_0_12_12 = e3)
% 22.92/5.98 | (289) ~ (all_0_6_6 = e3)
% 22.92/5.98 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.92/5.98 | (475) ~ (unit = e3)
% 22.92/5.98 | (307) all_0_9_9 = e2
% 22.92/5.98 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.92/5.98 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.92/5.98 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.98 |
% 22.92/5.98 | Combining equations (326,307) yields a new equation:
% 22.92/5.98 | (327) e2 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (327) can reduce 39 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.92/5.98 |
% 22.92/5.98 | Applying alpha-rule on (481) yields:
% 22.92/5.98 | (482) all_0_15_15 = e1
% 22.92/5.98 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.92/5.98 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.92/5.98 | (329) ~ (all_0_9_9 = e0)
% 22.92/5.98 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.92/5.98 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.92/5.98 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.92/5.98 | (489) ~ (unit = e0)
% 22.92/5.98 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.92/5.98 | (491) ~ (all_0_5_5 = e0)
% 22.92/5.98 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.92/5.98 |
% 22.92/5.98 | Equations (326) can reduce 329 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.92/5.98 |
% 22.92/5.98 | Applying alpha-rule on (496) yields:
% 22.92/5.98 | (308) ~ (all_0_1_1 = e2)
% 22.92/5.98 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.92/5.98 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.92/5.98 | (214) ~ (all_0_5_5 = e2)
% 22.92/5.98 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.92/5.98 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.92/5.98 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.92/5.98 | (213) ~ (all_0_3_3 = e2)
% 22.92/5.98 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.92/5.98 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.92/5.98 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.92/5.98 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.92/5.98 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.92/5.98 | (309) ~ (all_0_8_8 = e2)
% 22.92/5.98 | (220) ~ (all_0_19_19 = e2)
% 22.92/5.98 | (315) ~ (all_0_17_17 = e2)
% 22.92/5.98 | (216) ~ (all_0_7_7 = e2)
% 22.92/5.98 | (218) ~ (all_0_10_10 = e2)
% 22.92/5.98 | (227) ~ (all_0_13_13 = e2)
% 22.92/5.98 | (229) ~ (all_0_15_15 = e2)
% 22.92/5.98 | (313) ~ (all_0_11_11 = e2)
% 22.92/5.98 |
% 22.92/5.98 | Equations (818) can reduce 313 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (344) ~ (all_0_4_4 = e0)
% 22.92/5.98 | (4140) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_20_20 = e0
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (99), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (797) all_0_0_0 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (797) can reduce 268 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (268) ~ (all_0_0_0 = e0)
% 22.92/5.98 | (5846) all_0_1_1 = e0 | all_0_2_2 = e0 | all_0_4_4 = e0
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (5846), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (322) all_0_1_1 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (322) can reduce 237 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (237) ~ (all_0_1_1 = e0)
% 22.92/5.98 | (5850) all_0_2_2 = e0 | all_0_4_4 = e0
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (5850), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (236) all_0_2_2 = e0
% 22.92/5.98 |
% 22.92/5.98 | Combining equations (236,246) yields a new equation:
% 22.92/5.98 | (248) e4 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (248) can reduce 4 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (4061) ~ (all_0_2_2 = e0)
% 22.92/5.98 | (638) all_0_4_4 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (638) can reduce 344 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (329) ~ (all_0_9_9 = e0)
% 22.92/5.98 | (343) all_0_11_11 = e0
% 22.92/5.98 |
% 22.92/5.98 | Combining equations (343,818) yields a new equation:
% 22.92/5.98 | (327) e2 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (327) can reduce 39 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (491) ~ (all_0_5_5 = e0)
% 22.92/5.98 | (3098) all_0_7_7 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (3098) can reduce 152 to:
% 22.92/5.98 | (491) ~ (all_0_5_5 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Equations (3098) can reduce 131 to:
% 22.92/5.98 | (2479) ~ (all_0_11_11 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 2479 yields:
% 22.92/5.98 | (2480) ~ (all_0_11_11 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Equations (3098) can reduce 6 to:
% 22.92/5.98 | (346) ~ (all_0_15_15 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 346 yields:
% 22.92/5.98 | (151) ~ (all_0_15_15 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Equations (3098) can reduce 55 to:
% 22.92/5.98 | (348) ~ (all_0_20_20 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 348 yields:
% 22.92/5.98 | (349) ~ (all_0_20_20 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Equations (3098) can reduce 16 to:
% 22.92/5.98 | (334) ~ (e4 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 334 yields:
% 22.92/5.98 | (4) ~ (e4 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Equations (3098) can reduce 216 to:
% 22.92/5.98 | (277) ~ (e2 = e0)
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 277 yields:
% 22.92/5.98 | (39) ~ (e2 = e0)
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (182), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (722) all_0_5_5 = e2
% 22.92/5.98 |
% 22.92/5.98 | Equations (722) can reduce 214 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (214) ~ (all_0_5_5 = e2)
% 22.92/5.98 | (5877) all_0_5_5 = e3 | all_0_5_5 = e0
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (5877), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (267) all_0_5_5 = e0
% 22.92/5.98 |
% 22.92/5.98 | Equations (267) can reduce 491 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (491) ~ (all_0_5_5 = e0)
% 22.92/5.98 | (280) all_0_5_5 = e3
% 22.92/5.98 |
% 22.92/5.98 | Equations (280) can reduce 15 to:
% 22.92/5.98 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.98 |
% 22.92/5.98 | Equations (280) can reduce 125 to:
% 22.92/5.98 | (3106) ~ (all_0_8_8 = e3)
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 3106 yields:
% 22.92/5.98 | (117) ~ (all_0_8_8 = e3)
% 22.92/5.98 |
% 22.92/5.98 | Equations (280) can reduce 92 to:
% 22.92/5.98 | (3108) ~ (all_0_12_12 = e3)
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 3108 yields:
% 22.92/5.98 | (472) ~ (all_0_12_12 = e3)
% 22.92/5.98 |
% 22.92/5.98 | Equations (280) can reduce 76 to:
% 22.92/5.98 | (1883) ~ (all_0_16_16 = e3)
% 22.92/5.98 |
% 22.92/5.98 | Simplifying 1883 yields:
% 22.92/5.98 | (405) ~ (all_0_16_16 = e3)
% 22.92/5.98 |
% 22.92/5.98 | Equations (280) can reduce 491 to:
% 22.92/5.98 | (54) ~ (e3 = e0)
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (108), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (303) all_0_10_10 = e2
% 22.92/5.98 |
% 22.92/5.98 | Equations (303) can reduce 218 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (218) ~ (all_0_10_10 = e2)
% 22.92/5.98 | (306) all_0_10_10 = e4 | all_0_10_10 = e1
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (171), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (299) all_0_13_13 = e2
% 22.92/5.98 |
% 22.92/5.98 | Equations (299) can reduce 227 to:
% 22.92/5.98 | (243) $false
% 22.92/5.98 |
% 22.92/5.98 |-The branch is then unsatisfiable
% 22.92/5.98 |-Branch two:
% 22.92/5.98 | (227) ~ (all_0_13_13 = e2)
% 22.92/5.98 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 22.92/5.98 |
% 22.92/5.98 +-Applying beta-rule and splitting (202), into two cases.
% 22.92/5.98 |-Branch one:
% 22.92/5.98 | (307) all_0_9_9 = e2
% 22.92/5.98 |
% 22.92/5.98 | Equations (307) can reduce 110 to:
% 22.92/5.98 | (308) ~ (all_0_1_1 = e2)
% 22.92/5.98 |
% 22.92/5.98 | Equations (307) can reduce 3 to:
% 22.92/5.98 | (309) ~ (all_0_8_8 = e2)
% 22.92/5.98 |
% 22.92/5.98 | Equations (307) can reduce 60 to:
% 22.92/5.98 | (217) ~ (all_0_10_10 = e2)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 217 yields:
% 22.92/5.99 | (218) ~ (all_0_10_10 = e2)
% 22.92/5.99 |
% 22.92/5.99 | Equations (307) can reduce 14 to:
% 22.92/5.99 | (312) ~ (all_0_11_11 = e2)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 312 yields:
% 22.92/5.99 | (313) ~ (all_0_11_11 = e2)
% 22.92/5.99 |
% 22.92/5.99 | Equations (307) can reduce 56 to:
% 22.92/5.99 | (314) ~ (all_0_17_17 = e2)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 314 yields:
% 22.92/5.99 | (315) ~ (all_0_17_17 = e2)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (132), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (318) all_0_8_8 = e0
% 22.92/5.99 |
% 22.92/5.99 | Equations (318) can reduce 38 to:
% 22.92/5.99 | (2647) ~ (all_0_10_10 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 2647 yields:
% 22.92/5.99 | (144) ~ (all_0_10_10 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Equations (318) can reduce 7 to:
% 22.92/5.99 | (2479) ~ (all_0_11_11 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 2479 yields:
% 22.92/5.99 | (2480) ~ (all_0_11_11 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Equations (318) can reduce 174 to:
% 22.92/5.99 | (273) ~ (all_0_12_12 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 273 yields:
% 22.92/5.99 | (210) ~ (all_0_12_12 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Equations (318) can reduce 309 to:
% 22.92/5.99 | (277) ~ (e2 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 277 yields:
% 22.92/5.99 | (39) ~ (e2 = e0)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (176), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (322) all_0_1_1 = e0
% 22.92/5.99 |
% 22.92/5.99 | Equations (322) can reduce 178 to:
% 22.92/5.99 | (268) ~ (all_0_0_0 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Equations (322) can reduce 33 to:
% 22.92/5.99 | (4133) ~ (all_0_4_4 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 4133 yields:
% 22.92/5.99 | (344) ~ (all_0_4_4 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Equations (322) can reduce 73 to:
% 22.92/5.99 | (2481) ~ (all_0_17_17 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 2481 yields:
% 22.92/5.99 | (2482) ~ (all_0_17_17 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Equations (322) can reduce 308 to:
% 22.92/5.99 | (277) ~ (e2 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 277 yields:
% 22.92/5.99 | (39) ~ (e2 = e0)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (18), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (523) all_0_20_20 = e1
% 22.92/5.99 |
% 22.92/5.99 | Equations (523) can reduce 45 to:
% 22.92/5.99 | (462) ~ (all_0_11_11 = e1)
% 22.92/5.99 |
% 22.92/5.99 | Equations (523) can reduce 40 to:
% 22.92/5.99 | (1154) ~ (all_0_15_15 = e1)
% 22.92/5.99 |
% 22.92/5.99 | Equations (523) can reduce 197 to:
% 22.92/5.99 | (1015) ~ (all_0_17_17 = e1)
% 22.92/5.99 |
% 22.92/5.99 | Equations (523) can reduce 349 to:
% 22.92/5.99 | (109) ~ (e1 = e0)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (42), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (818) all_0_11_11 = e2
% 22.92/5.99 |
% 22.92/5.99 | Equations (818) can reduce 313 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (313) ~ (all_0_11_11 = e2)
% 22.92/5.99 | (2486) all_0_11_11 = e4 | all_0_11_11 = e1 | all_0_11_11 = e0
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (59), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (1820) all_0_17_17 = e2
% 22.92/5.99 |
% 22.92/5.99 | Equations (1820) can reduce 315 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (315) ~ (all_0_17_17 = e2)
% 22.92/5.99 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (2486), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (2395) all_0_11_11 = e4
% 22.92/5.99 |
% 22.92/5.99 | Equations (2395) can reduce 82 to:
% 22.92/5.99 | (392) ~ (all_0_4_4 = e4)
% 22.92/5.99 |
% 22.92/5.99 | Equations (2395) can reduce 155 to:
% 22.92/5.99 | (355) ~ (all_0_10_10 = e4)
% 22.92/5.99 |
% 22.92/5.99 | Equations (2395) can reduce 313 to:
% 22.92/5.99 | (194) ~ (e4 = e2)
% 22.92/5.99 |
% 22.92/5.99 | Equations (2395) can reduce 462 to:
% 22.92/5.99 | (207) ~ (e4 = e1)
% 22.92/5.99 |
% 22.92/5.99 | Equations (2395) can reduce 2480 to:
% 22.92/5.99 | (4) ~ (e4 = e0)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (2810), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (1012) all_0_17_17 = e1
% 22.92/5.99 |
% 22.92/5.99 | Equations (1012) can reduce 1015 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (1015) ~ (all_0_17_17 = e1)
% 22.92/5.99 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (2871), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (330) all_0_17_17 = e0
% 22.92/5.99 |
% 22.92/5.99 | Equations (330) can reduce 2482 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (2482) ~ (all_0_17_17 = e0)
% 22.92/5.99 | (1181) all_0_17_17 = e3
% 22.92/5.99 |
% 22.92/5.99 | Equations (1181) can reduce 19 to:
% 22.92/5.99 | (416) ~ (all_0_13_13 = e3)
% 22.92/5.99 |
% 22.92/5.99 | Equations (1181) can reduce 315 to:
% 22.92/5.99 | (183) ~ (e3 = e2)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (129), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (413) all_0_12_12 = e3
% 22.92/5.99 |
% 22.92/5.99 | Equations (413) can reduce 472 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (472) ~ (all_0_12_12 = e3)
% 22.92/5.99 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (150), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (360) all_0_12_12 = e4
% 22.92/5.99 |
% 22.92/5.99 | Equations (360) can reduce 80 to:
% 22.92/5.99 | (1663) ~ (all_0_0_0 = e4)
% 22.92/5.99 |
% 22.92/5.99 | Equations (360) can reduce 36 to:
% 22.92/5.99 | (3912) ~ (all_0_15_15 = e4)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 3912 yields:
% 22.92/5.99 | (442) ~ (all_0_15_15 = e4)
% 22.92/5.99 |
% 22.92/5.99 | Equations (360) can reduce 210 to:
% 22.92/5.99 | (4) ~ (e4 = e0)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (140), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (372) all_0_3_3 = e3
% 22.92/5.99 |
% 22.92/5.99 | Equations (372) can reduce 85 to:
% 22.92/5.99 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.99 |
% 22.92/5.99 | Equations (372) can reduce 87 to:
% 22.92/5.99 | (5964) ~ (all_0_10_10 = e3)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 5964 yields:
% 22.92/5.99 | (141) ~ (all_0_10_10 = e3)
% 22.92/5.99 |
% 22.92/5.99 | Equations (372) can reduce 213 to:
% 22.92/5.99 | (183) ~ (e3 = e2)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (120), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (532) all_0_16_16 = e2
% 22.92/5.99 |
% 22.92/5.99 | Equations (532) can reduce 188 to:
% 22.92/5.99 | (536) ~ (all_0_0_0 = e2)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (200), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (672) all_0_0_0 = e2
% 22.92/5.99 |
% 22.92/5.99 | Equations (672) can reduce 536 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (536) ~ (all_0_0_0 = e2)
% 22.92/5.99 | (4248) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e1 | all_0_0_0 = e0
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (138), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (535) all_0_4_4 = e2
% 22.92/5.99 |
% 22.92/5.99 | Equations (535) can reduce 78 to:
% 22.92/5.99 | (228) ~ (all_0_15_15 = e2)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 228 yields:
% 22.92/5.99 | (229) ~ (all_0_15_15 = e2)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (91), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (418) all_0_12_12 = e1
% 22.92/5.99 |
% 22.92/5.99 | Combining equations (418,360) yields a new equation:
% 22.92/5.99 | (494) e4 = e1
% 22.92/5.99 |
% 22.92/5.99 | Equations (494) can reduce 207 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (422) ~ (all_0_12_12 = e1)
% 22.92/5.99 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (126), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (823) all_0_15_15 = e2
% 22.92/5.99 |
% 22.92/5.99 | Equations (823) can reduce 229 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (229) ~ (all_0_15_15 = e2)
% 22.92/5.99 | (4171) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (107), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (538) all_0_0_0 = e1
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (423), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (429) all_0_13_13 = e1
% 22.92/5.99 |
% 22.92/5.99 | Equations (429) can reduce 179 to:
% 22.92/5.99 | (1997) ~ (all_0_15_15 = e1)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 1997 yields:
% 22.92/5.99 | (1154) ~ (all_0_15_15 = e1)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (306), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (377) all_0_10_10 = e4
% 22.92/5.99 |
% 22.92/5.99 | Equations (377) can reduce 355 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (355) ~ (all_0_10_10 = e4)
% 22.92/5.99 | (380) all_0_10_10 = e1
% 22.92/5.99 |
% 22.92/5.99 | Equations (380) can reduce 218 to:
% 22.92/5.99 | (530) ~ (e2 = e1)
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 530 yields:
% 22.92/5.99 | (114) ~ (e2 = e1)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (4171), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (391) all_0_15_15 = e4
% 22.92/5.99 |
% 22.92/5.99 | Equations (391) can reduce 442 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (442) ~ (all_0_15_15 = e4)
% 22.92/5.99 | (4209) all_0_15_15 = e3 | all_0_15_15 = e1
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (4209), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (482) all_0_15_15 = e1
% 22.92/5.99 |
% 22.92/5.99 | Equations (482) can reduce 1154 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (1154) ~ (all_0_15_15 = e1)
% 22.92/5.99 | (1216) all_0_15_15 = e3
% 22.92/5.99 |
% 22.92/5.99 | Equations (1216) can reduce 1154 to:
% 22.92/5.99 | (111) ~ (e3 = e1)
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (72), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (433), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (434), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (435), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Applying alpha-rule on (436) yields:
% 22.92/5.99 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 22.92/5.99 | (438) ~ (unit = e4)
% 22.92/5.99 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 22.92/5.99 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 22.92/5.99 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 22.92/5.99 | (442) ~ (all_0_15_15 = e4)
% 22.92/5.99 | (280) all_0_5_5 = e3
% 22.92/5.99 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 22.92/5.99 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 22.92/5.99 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 22.92/5.99 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 22.92/5.99 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 22.92/5.99 |
% 22.92/5.99 +-Applying beta-rule and splitting (448), into two cases.
% 22.92/5.99 |-Branch one:
% 22.92/5.99 | (250) ~ (all_0_2_2 = e4)
% 22.92/5.99 |
% 22.92/5.99 | Equations (246) can reduce 250 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (246) all_0_2_2 = e4
% 22.92/5.99 | (672) all_0_0_0 = e2
% 22.92/5.99 |
% 22.92/5.99 | Combining equations (672,538) yields a new equation:
% 22.92/5.99 | (559) e2 = e1
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 559 yields:
% 22.92/5.99 | (560) e2 = e1
% 22.92/5.99 |
% 22.92/5.99 | Equations (560) can reduce 114 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 22.92/5.99 |
% 22.92/5.99 | Applying alpha-rule on (452) yields:
% 22.92/5.99 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 22.92/5.99 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 22.92/5.99 | (422) ~ (all_0_12_12 = e1)
% 22.92/5.99 | (212) all_0_6_6 = e2
% 22.92/5.99 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 22.92/5.99 | (458) ~ (all_0_13_13 = e1)
% 22.92/5.99 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 22.92/5.99 | (460) ~ (all_0_9_9 = e1)
% 22.92/5.99 | (461) ~ (all_0_20_20 = e1)
% 22.92/5.99 | (462) ~ (all_0_11_11 = e1)
% 22.92/5.99 | (463) ~ (unit = e1)
% 22.92/5.99 | (464) ~ (all_0_4_4 = e1)
% 22.92/5.99 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 22.92/5.99 |
% 22.92/5.99 | Equations (523) can reduce 461 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 22.92/5.99 |
% 22.92/5.99 | Applying alpha-rule on (467) yields:
% 22.92/5.99 | (468) ~ (all_0_7_7 = e3)
% 22.92/5.99 | (405) ~ (all_0_16_16 = e3)
% 22.92/5.99 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 22.92/5.99 | (295) ~ (all_0_15_15 = e3)
% 22.92/5.99 | (472) ~ (all_0_12_12 = e3)
% 22.92/5.99 | (289) ~ (all_0_6_6 = e3)
% 22.92/5.99 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 22.92/5.99 | (475) ~ (unit = e3)
% 22.92/5.99 | (307) all_0_9_9 = e2
% 22.92/5.99 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 22.92/5.99 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 22.92/5.99 | (414) ~ (all_0_0_0 = e3)
% 22.92/5.99 |
% 22.92/5.99 | Equations (1216) can reduce 295 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 22.92/5.99 |
% 22.92/5.99 | Applying alpha-rule on (481) yields:
% 22.92/5.99 | (482) all_0_15_15 = e1
% 22.92/5.99 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 22.92/5.99 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 22.92/5.99 | (329) ~ (all_0_9_9 = e0)
% 22.92/5.99 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 22.92/5.99 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 22.92/5.99 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 22.92/5.99 | (489) ~ (unit = e0)
% 22.92/5.99 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 22.92/5.99 | (491) ~ (all_0_5_5 = e0)
% 22.92/5.99 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 22.92/5.99 |
% 22.92/5.99 | Combining equations (1216,482) yields a new equation:
% 22.92/5.99 | (419) e3 = e1
% 22.92/5.99 |
% 22.92/5.99 | Simplifying 419 yields:
% 22.92/5.99 | (420) e3 = e1
% 22.92/5.99 |
% 22.92/5.99 | Equations (420) can reduce 111 to:
% 22.92/5.99 | (243) $false
% 22.92/5.99 |
% 22.92/5.99 |-The branch is then unsatisfiable
% 22.92/5.99 |-Branch two:
% 22.92/5.99 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 22.92/6.00 |
% 22.92/6.00 | Applying alpha-rule on (496) yields:
% 22.92/6.00 | (308) ~ (all_0_1_1 = e2)
% 22.92/6.00 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 22.92/6.00 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 22.92/6.00 | (214) ~ (all_0_5_5 = e2)
% 22.92/6.00 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 22.92/6.00 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 22.92/6.00 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 22.92/6.00 | (213) ~ (all_0_3_3 = e2)
% 22.92/6.00 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 22.92/6.00 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 22.92/6.00 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 22.92/6.00 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 22.92/6.00 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 22.92/6.00 | (309) ~ (all_0_8_8 = e2)
% 22.92/6.00 | (220) ~ (all_0_19_19 = e2)
% 22.92/6.00 | (315) ~ (all_0_17_17 = e2)
% 22.92/6.00 | (216) ~ (all_0_7_7 = e2)
% 22.92/6.00 | (218) ~ (all_0_10_10 = e2)
% 22.92/6.00 | (227) ~ (all_0_13_13 = e2)
% 22.92/6.00 | (229) ~ (all_0_15_15 = e2)
% 22.92/6.00 | (313) ~ (all_0_11_11 = e2)
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (509), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (542) ~ (all_0_16_16 = e2)
% 22.92/6.00 |
% 22.92/6.00 | Equations (532) can reduce 542 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (532) all_0_16_16 = e2
% 22.92/6.00 | (545) all_0_18_18 = e4 & ~ (unit = e2)
% 22.92/6.00 |
% 22.92/6.00 | Applying alpha-rule on (545) yields:
% 22.92/6.00 | (257) all_0_18_18 = e4
% 22.92/6.00 | (547) ~ (unit = e2)
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (257,832) yields a new equation:
% 22.92/6.00 | (247) e4 = e0
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 247 yields:
% 22.92/6.00 | (248) e4 = e0
% 22.92/6.00 |
% 22.92/6.00 | Equations (248) can reduce 4 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (458) ~ (all_0_13_13 = e1)
% 22.92/6.00 | (482) all_0_15_15 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (482) can reduce 1154 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (595) ~ (all_0_0_0 = e1)
% 22.92/6.00 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (423), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (429) all_0_13_13 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (429) can reduce 179 to:
% 22.92/6.00 | (1997) ~ (all_0_15_15 = e1)
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 1997 yields:
% 22.92/6.00 | (1154) ~ (all_0_15_15 = e1)
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (306), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (377) all_0_10_10 = e4
% 22.92/6.00 |
% 22.92/6.00 | Equations (377) can reduce 355 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (355) ~ (all_0_10_10 = e4)
% 22.92/6.00 | (380) all_0_10_10 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (380) can reduce 141 to:
% 22.92/6.00 | (528) ~ (e3 = e1)
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 528 yields:
% 22.92/6.00 | (111) ~ (e3 = e1)
% 22.92/6.00 |
% 22.92/6.00 | Equations (380) can reduce 218 to:
% 22.92/6.00 | (530) ~ (e2 = e1)
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 530 yields:
% 22.92/6.00 | (114) ~ (e2 = e1)
% 22.92/6.00 |
% 22.92/6.00 | Equations (380) can reduce 144 to:
% 22.92/6.00 | (109) ~ (e1 = e0)
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (871), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (868) all_0_13_13 = e3
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (429,868) yields a new equation:
% 22.92/6.00 | (420) e3 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (420) can reduce 111 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (416) ~ (all_0_13_13 = e3)
% 22.92/6.00 | (1216) all_0_15_15 = e3
% 22.92/6.00 |
% 22.92/6.00 | Equations (1216) can reduce 1154 to:
% 22.92/6.00 | (111) ~ (e3 = e1)
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (596), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (605) all_0_1_1 = e1
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (605,322) yields a new equation:
% 22.92/6.00 | (587) e1 = e0
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 587 yields:
% 22.92/6.00 | (561) e1 = e0
% 22.92/6.00 |
% 22.92/6.00 | Equations (561) can reduce 109 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (608) ~ (all_0_1_1 = e1)
% 22.92/6.00 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (609), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (695) all_0_3_3 = e1
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (372,695) yields a new equation:
% 22.92/6.00 | (419) e3 = e1
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 419 yields:
% 22.92/6.00 | (420) e3 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (420) can reduce 111 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (698) ~ (all_0_3_3 = e1)
% 22.92/6.00 | (634) all_0_4_4 = e1
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (634,535) yields a new equation:
% 22.92/6.00 | (560) e2 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (560) can reduce 114 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (458) ~ (all_0_13_13 = e1)
% 22.92/6.00 | (482) all_0_15_15 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (482) can reduce 1154 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (625) ~ (all_0_4_4 = e2)
% 22.92/6.00 | (740) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (126), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (823) all_0_15_15 = e2
% 22.92/6.00 |
% 22.92/6.00 | Equations (823) can reduce 229 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (229) ~ (all_0_15_15 = e2)
% 22.92/6.00 | (4171) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (107), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (538) all_0_0_0 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (538) can reduce 93 to:
% 22.92/6.00 | (628) ~ (all_0_4_4 = e1)
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 628 yields:
% 22.92/6.00 | (464) ~ (all_0_4_4 = e1)
% 22.92/6.00 |
% 22.92/6.00 | Equations (538) can reduce 1663 to:
% 22.92/6.00 | (383) ~ (e4 = e1)
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 383 yields:
% 22.92/6.00 | (207) ~ (e4 = e1)
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (91), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (418) all_0_12_12 = e1
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (418,360) yields a new equation:
% 22.92/6.00 | (494) e4 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (494) can reduce 207 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (422) ~ (all_0_12_12 = e1)
% 22.92/6.00 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (156), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (535) all_0_4_4 = e2
% 22.92/6.00 |
% 22.92/6.00 | Equations (535) can reduce 625 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (625) ~ (all_0_4_4 = e2)
% 22.92/6.00 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (4171), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (391) all_0_15_15 = e4
% 22.92/6.00 |
% 22.92/6.00 | Equations (391) can reduce 442 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (442) ~ (all_0_15_15 = e4)
% 22.92/6.00 | (4209) all_0_15_15 = e3 | all_0_15_15 = e1
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (423), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (429) all_0_13_13 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (429) can reduce 179 to:
% 22.92/6.00 | (1997) ~ (all_0_15_15 = e1)
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 1997 yields:
% 22.92/6.00 | (1154) ~ (all_0_15_15 = e1)
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (626), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (630) all_0_4_4 = e4
% 22.92/6.00 |
% 22.92/6.00 | Equations (630) can reduce 392 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (392) ~ (all_0_4_4 = e4)
% 22.92/6.00 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (4209), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (482) all_0_15_15 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (482) can reduce 1154 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (1154) ~ (all_0_15_15 = e1)
% 22.92/6.00 | (1216) all_0_15_15 = e3
% 22.92/6.00 |
% 22.92/6.00 | Equations (1216) can reduce 78 to:
% 22.92/6.00 | (291) ~ (all_0_4_4 = e3)
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (633), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (634) all_0_4_4 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (634) can reduce 464 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (464) ~ (all_0_4_4 = e1)
% 22.92/6.00 | (637) all_0_4_4 = e3 | all_0_4_4 = e0
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (637), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (638) all_0_4_4 = e0
% 22.92/6.00 |
% 22.92/6.00 | Equations (638) can reduce 344 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (344) ~ (all_0_4_4 = e0)
% 22.92/6.00 | (641) all_0_4_4 = e3
% 22.92/6.00 |
% 22.92/6.00 | Equations (641) can reduce 291 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (458) ~ (all_0_13_13 = e1)
% 22.92/6.00 | (482) all_0_15_15 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (482) can reduce 1154 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (595) ~ (all_0_0_0 = e1)
% 22.92/6.00 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (37), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (538) all_0_0_0 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (538) can reduce 595 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (595) ~ (all_0_0_0 = e1)
% 22.92/6.00 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (4248), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (1659) all_0_0_0 = e4
% 22.92/6.00 |
% 22.92/6.00 | Equations (1659) can reduce 1663 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (1663) ~ (all_0_0_0 = e4)
% 22.92/6.00 | (4256) all_0_0_0 = e3 | all_0_0_0 = e1 | all_0_0_0 = e0
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (4256), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (538) all_0_0_0 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (538) can reduce 595 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (595) ~ (all_0_0_0 = e1)
% 22.92/6.00 | (4265) all_0_0_0 = e3 | all_0_0_0 = e0
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (4265), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (797) all_0_0_0 = e0
% 22.92/6.00 |
% 22.92/6.00 | Equations (797) can reduce 268 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (268) ~ (all_0_0_0 = e0)
% 22.92/6.00 | (788) all_0_0_0 = e3
% 22.92/6.00 |
% 22.92/6.00 | Equations (788) can reduce 414 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (542) ~ (all_0_16_16 = e2)
% 22.92/6.00 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (671), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (1820) all_0_17_17 = e2
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (1181,1820) yields a new equation:
% 22.92/6.00 | (400) e3 = e2
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 400 yields:
% 22.92/6.00 | (287) e3 = e2
% 22.92/6.00 |
% 22.92/6.00 | Equations (287) can reduce 183 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (315) ~ (all_0_17_17 = e2)
% 22.92/6.00 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (1824), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (242) all_0_18_18 = e2
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (832,242) yields a new equation:
% 22.92/6.00 | (327) e2 = e0
% 22.92/6.00 |
% 22.92/6.00 | Equations (327) can reduce 39 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (231) ~ (all_0_18_18 = e2)
% 22.92/6.00 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (1837), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (1262) all_0_19_19 = e2
% 22.92/6.00 |
% 22.92/6.00 | Equations (1262) can reduce 220 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (220) ~ (all_0_19_19 = e2)
% 22.92/6.00 | (784) all_0_20_20 = e2
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (523,784) yields a new equation:
% 22.92/6.00 | (560) e2 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (560) can reduce 114 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (375) ~ (all_0_3_3 = e3)
% 22.92/6.00 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (871), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (868) all_0_13_13 = e3
% 22.92/6.00 |
% 22.92/6.00 | Equations (868) can reduce 416 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (416) ~ (all_0_13_13 = e3)
% 22.92/6.00 | (1216) all_0_15_15 = e3
% 22.92/6.00 |
% 22.92/6.00 | Equations (1216) can reduce 78 to:
% 22.92/6.00 | (291) ~ (all_0_4_4 = e3)
% 22.92/6.00 |
% 22.92/6.00 | Equations (1216) can reduce 151 to:
% 22.92/6.00 | (54) ~ (e3 = e0)
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (74), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (788) all_0_0_0 = e3
% 22.92/6.00 |
% 22.92/6.00 | Equations (788) can reduce 414 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (414) ~ (all_0_0_0 = e3)
% 22.92/6.00 | (853) all_0_1_1 = e3 | all_0_3_3 = e3 | all_0_4_4 = e3
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (853), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (424) all_0_1_1 = e3
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (424,322) yields a new equation:
% 22.92/6.00 | (281) e3 = e0
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 281 yields:
% 22.92/6.00 | (282) e3 = e0
% 22.92/6.00 |
% 22.92/6.00 | Equations (282) can reduce 54 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (842) ~ (all_0_1_1 = e3)
% 22.92/6.00 | (857) all_0_3_3 = e3 | all_0_4_4 = e3
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (857), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (372) all_0_3_3 = e3
% 22.92/6.00 |
% 22.92/6.00 | Equations (372) can reduce 375 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (375) ~ (all_0_3_3 = e3)
% 22.92/6.00 | (641) all_0_4_4 = e3
% 22.92/6.00 |
% 22.92/6.00 | Equations (641) can reduce 291 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (357) ~ (all_0_12_12 = e4)
% 22.92/6.00 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (164), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (611) all_0_8_8 = e1
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (318,611) yields a new equation:
% 22.92/6.00 | (561) e1 = e0
% 22.92/6.00 |
% 22.92/6.00 | Equations (561) can reduce 109 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (614) ~ (all_0_8_8 = e1)
% 22.92/6.00 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.92/6.00 |
% 22.92/6.00 +-Applying beta-rule and splitting (2384), into two cases.
% 22.92/6.00 |-Branch one:
% 22.92/6.00 | (1290) all_0_9_9 = e1
% 22.92/6.00 |
% 22.92/6.00 | Combining equations (307,1290) yields a new equation:
% 22.92/6.00 | (559) e2 = e1
% 22.92/6.00 |
% 22.92/6.00 | Simplifying 559 yields:
% 22.92/6.00 | (560) e2 = e1
% 22.92/6.00 |
% 22.92/6.00 | Equations (560) can reduce 114 to:
% 22.92/6.00 | (243) $false
% 22.92/6.00 |
% 22.92/6.00 |-The branch is then unsatisfiable
% 22.92/6.00 |-Branch two:
% 22.92/6.00 | (460) ~ (all_0_9_9 = e1)
% 22.92/6.01 | (2470) all_0_10_10 = e1 | all_0_11_11 = e1
% 22.92/6.01 |
% 22.92/6.01 +-Applying beta-rule and splitting (2470), into two cases.
% 22.92/6.01 |-Branch one:
% 22.92/6.01 | (380) all_0_10_10 = e1
% 22.92/6.01 |
% 22.92/6.01 | Equations (380) can reduce 218 to:
% 22.92/6.01 | (530) ~ (e2 = e1)
% 22.92/6.01 |
% 22.92/6.01 | Simplifying 530 yields:
% 22.92/6.01 | (114) ~ (e2 = e1)
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (63), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (1659) all_0_0_0 = e4
% 23.19/6.01 |
% 23.19/6.01 | Equations (1659) can reduce 1663 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (1663) ~ (all_0_0_0 = e4)
% 23.19/6.01 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (1678), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (353) all_0_8_8 = e4
% 23.19/6.01 |
% 23.19/6.01 | Combining equations (353,318) yields a new equation:
% 23.19/6.01 | (247) e4 = e0
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 247 yields:
% 23.19/6.01 | (248) e4 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (248) can reduce 4 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (1227) ~ (all_0_8_8 = e4)
% 23.19/6.01 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (1695), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (360) all_0_12_12 = e4
% 23.19/6.01 |
% 23.19/6.01 | Equations (360) can reduce 357 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (357) ~ (all_0_12_12 = e4)
% 23.19/6.01 | (1894) all_0_16_16 = e4
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (120), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (532) all_0_16_16 = e2
% 23.19/6.01 |
% 23.19/6.01 | Combining equations (1894,532) yields a new equation:
% 23.19/6.01 | (253) e4 = e2
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 253 yields:
% 23.19/6.01 | (254) e4 = e2
% 23.19/6.01 |
% 23.19/6.01 | Equations (254) can reduce 194 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (542) ~ (all_0_16_16 = e2)
% 23.19/6.01 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (671), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (1820) all_0_17_17 = e2
% 23.19/6.01 |
% 23.19/6.01 | Combining equations (1181,1820) yields a new equation:
% 23.19/6.01 | (400) e3 = e2
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 400 yields:
% 23.19/6.01 | (287) e3 = e2
% 23.19/6.01 |
% 23.19/6.01 | Equations (287) can reduce 183 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (315) ~ (all_0_17_17 = e2)
% 23.19/6.01 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (1824), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (242) all_0_18_18 = e2
% 23.19/6.01 |
% 23.19/6.01 | Combining equations (832,242) yields a new equation:
% 23.19/6.01 | (327) e2 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (327) can reduce 39 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (231) ~ (all_0_18_18 = e2)
% 23.19/6.01 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (1837), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (1262) all_0_19_19 = e2
% 23.19/6.01 |
% 23.19/6.01 | Equations (1262) can reduce 220 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (220) ~ (all_0_19_19 = e2)
% 23.19/6.01 | (784) all_0_20_20 = e2
% 23.19/6.01 |
% 23.19/6.01 | Combining equations (523,784) yields a new equation:
% 23.19/6.01 | (560) e2 = e1
% 23.19/6.01 |
% 23.19/6.01 | Equations (560) can reduce 114 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (2075) ~ (all_0_10_10 = e1)
% 23.19/6.01 | (1145) all_0_11_11 = e1
% 23.19/6.01 |
% 23.19/6.01 | Combining equations (2395,1145) yields a new equation:
% 23.19/6.01 | (493) e4 = e1
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 493 yields:
% 23.19/6.01 | (494) e4 = e1
% 23.19/6.01 |
% 23.19/6.01 | Equations (494) can reduce 207 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (2559) ~ (all_0_11_11 = e4)
% 23.19/6.01 | (2560) all_0_11_11 = e1 | all_0_11_11 = e0
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (2560), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (1145) all_0_11_11 = e1
% 23.19/6.01 |
% 23.19/6.01 | Equations (1145) can reduce 462 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (462) ~ (all_0_11_11 = e1)
% 23.19/6.01 | (343) all_0_11_11 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (343) can reduce 2480 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (461) ~ (all_0_20_20 = e1)
% 23.19/6.01 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (780), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (788) all_0_0_0 = e3
% 23.19/6.01 |
% 23.19/6.01 | Equations (788) can reduce 414 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (414) ~ (all_0_0_0 = e3)
% 23.19/6.01 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (791), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.19/6.01 |
% 23.19/6.01 | Applying alpha-rule on (796) yields:
% 23.19/6.01 | (797) all_0_0_0 = e0
% 23.19/6.01 | (792) all_0_20_20 = e4
% 23.19/6.01 | (392) ~ (all_0_4_4 = e4)
% 23.19/6.01 |
% 23.19/6.01 | Equations (797) can reduce 268 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Applying alpha-rule on (801) yields:
% 23.19/6.01 | (797) all_0_0_0 = e0
% 23.19/6.01 | (792) all_0_20_20 = e4
% 23.19/6.01 | (276) ~ (all_0_16_16 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Equations (797) can reduce 268 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (237) ~ (all_0_1_1 = e0)
% 23.19/6.01 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (325), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (326) all_0_9_9 = e0
% 23.19/6.01 |
% 23.19/6.01 | Combining equations (307,326) yields a new equation:
% 23.19/6.01 | (339) e2 = e0
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 339 yields:
% 23.19/6.01 | (327) e2 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (327) can reduce 39 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (329) ~ (all_0_9_9 = e0)
% 23.19/6.01 | (330) all_0_17_17 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (330) can reduce 2482 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (272) ~ (all_0_8_8 = e0)
% 23.19/6.01 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (321), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (326) all_0_9_9 = e0
% 23.19/6.01 |
% 23.19/6.01 | Combining equations (326,307) yields a new equation:
% 23.19/6.01 | (327) e2 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (327) can reduce 39 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (329) ~ (all_0_9_9 = e0)
% 23.19/6.01 | (343) all_0_11_11 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (343) can reduce 2480 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (2398) ~ (all_0_9_9 = e2)
% 23.19/6.01 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (2), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (727) all_0_8_8 = e2
% 23.19/6.01 |
% 23.19/6.01 | Equations (727) can reduce 146 to:
% 23.19/6.01 | (536) ~ (all_0_0_0 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Equations (727) can reduce 3 to:
% 23.19/6.01 | (2401) ~ (all_0_9_9 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 2401 yields:
% 23.19/6.01 | (2398) ~ (all_0_9_9 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Equations (727) can reduce 7 to:
% 23.19/6.01 | (312) ~ (all_0_11_11 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 312 yields:
% 23.19/6.01 | (313) ~ (all_0_11_11 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Equations (727) can reduce 174 to:
% 23.19/6.01 | (6357) ~ (all_0_12_12 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 6357 yields:
% 23.19/6.01 | (226) ~ (all_0_12_12 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Equations (727) can reduce 187 to:
% 23.19/6.01 | (1540) ~ (all_0_16_16 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 1540 yields:
% 23.19/6.01 | (542) ~ (all_0_16_16 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Equations (727) can reduce 117 to:
% 23.19/6.01 | (232) ~ (e3 = e2)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 232 yields:
% 23.19/6.01 | (183) ~ (e3 = e2)
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (112), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (797) all_0_0_0 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (797) can reduce 93 to:
% 23.19/6.01 | (4133) ~ (all_0_4_4 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 4133 yields:
% 23.19/6.01 | (344) ~ (all_0_4_4 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Equations (797) can reduce 188 to:
% 23.19/6.01 | (275) ~ (all_0_16_16 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 275 yields:
% 23.19/6.01 | (276) ~ (all_0_16_16 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Equations (797) can reduce 536 to:
% 23.19/6.01 | (277) ~ (e2 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 277 yields:
% 23.19/6.01 | (39) ~ (e2 = e0)
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (132), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (318) all_0_8_8 = e0
% 23.19/6.01 |
% 23.19/6.01 | Combining equations (727,318) yields a new equation:
% 23.19/6.01 | (339) e2 = e0
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 339 yields:
% 23.19/6.01 | (327) e2 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (327) can reduce 39 to:
% 23.19/6.01 | (243) $false
% 23.19/6.01 |
% 23.19/6.01 |-The branch is then unsatisfiable
% 23.19/6.01 |-Branch two:
% 23.19/6.01 | (272) ~ (all_0_8_8 = e0)
% 23.19/6.01 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (321), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (326) all_0_9_9 = e0
% 23.19/6.01 |
% 23.19/6.01 | Equations (326) can reduce 14 to:
% 23.19/6.01 | (2479) ~ (all_0_11_11 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 2479 yields:
% 23.19/6.01 | (2480) ~ (all_0_11_11 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Equations (326) can reduce 137 to:
% 23.19/6.01 | (6379) ~ (all_0_13_13 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 6379 yields:
% 23.19/6.01 | (21) ~ (all_0_13_13 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Equations (326) can reduce 58 to:
% 23.19/6.01 | (240) ~ (e3 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 240 yields:
% 23.19/6.01 | (54) ~ (e3 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Equations (326) can reduce 2398 to:
% 23.19/6.01 | (277) ~ (e2 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Simplifying 277 yields:
% 23.19/6.01 | (39) ~ (e2 = e0)
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (72), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (433), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (434), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.19/6.01 |
% 23.19/6.01 +-Applying beta-rule and splitting (435), into two cases.
% 23.19/6.01 |-Branch one:
% 23.19/6.01 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.19/6.01 |
% 23.19/6.01 | Applying alpha-rule on (436) yields:
% 23.19/6.01 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.19/6.01 | (438) ~ (unit = e4)
% 23.19/6.01 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.19/6.01 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.19/6.01 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.19/6.02 | (442) ~ (all_0_15_15 = e4)
% 23.19/6.02 | (280) all_0_5_5 = e3
% 23.19/6.02 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.19/6.02 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.19/6.02 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.19/6.02 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.19/6.02 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (437), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (263) ~ (all_0_20_20 = e4)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (18), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (523) all_0_20_20 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (523) can reduce 81 to:
% 23.19/6.02 | (525) ~ (all_0_16_16 = e1)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (120), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (532) all_0_16_16 = e2
% 23.19/6.02 |
% 23.19/6.02 | Equations (532) can reduce 542 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (542) ~ (all_0_16_16 = e2)
% 23.19/6.02 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (150), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (360) all_0_12_12 = e4
% 23.19/6.02 |
% 23.19/6.02 | Equations (360) can reduce 189 to:
% 23.19/6.02 | (1892) ~ (all_0_16_16 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 1892 yields:
% 23.19/6.02 | (258) ~ (all_0_16_16 = e4)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (154), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (532) all_0_16_16 = e2
% 23.19/6.02 |
% 23.19/6.02 | Equations (532) can reduce 542 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (542) ~ (all_0_16_16 = e2)
% 23.19/6.02 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (715), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (1894) all_0_16_16 = e4
% 23.19/6.02 |
% 23.19/6.02 | Equations (1894) can reduce 258 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (258) ~ (all_0_16_16 = e4)
% 23.19/6.02 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (1897), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (621) all_0_16_16 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (621) can reduce 525 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (525) ~ (all_0_16_16 = e1)
% 23.19/6.02 | (1901) all_0_16_16 = e3 | all_0_16_16 = e0
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (1901), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (1902) all_0_16_16 = e0
% 23.19/6.02 |
% 23.19/6.02 | Equations (1902) can reduce 276 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (276) ~ (all_0_16_16 = e0)
% 23.19/6.02 | (1202) all_0_16_16 = e3
% 23.19/6.02 |
% 23.19/6.02 | Equations (1202) can reduce 405 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (357) ~ (all_0_12_12 = e4)
% 23.19/6.02 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (363), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (252) all_0_14_14 = e4
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (252,224) yields a new equation:
% 23.19/6.02 | (253) e4 = e2
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 253 yields:
% 23.19/6.02 | (254) e4 = e2
% 23.19/6.02 |
% 23.19/6.02 | Equations (254) can reduce 194 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (256) ~ (all_0_14_14 = e4)
% 23.19/6.02 | (391) all_0_15_15 = e4
% 23.19/6.02 |
% 23.19/6.02 | Equations (391) can reduce 442 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (461) ~ (all_0_20_20 = e1)
% 23.19/6.02 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (780), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (788) all_0_0_0 = e3
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (788,797) yields a new equation:
% 23.19/6.02 | (281) e3 = e0
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 281 yields:
% 23.19/6.02 | (282) e3 = e0
% 23.19/6.02 |
% 23.19/6.02 | Equations (282) can reduce 54 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (414) ~ (all_0_0_0 = e3)
% 23.19/6.02 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (791), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Applying alpha-rule on (796) yields:
% 23.19/6.02 | (797) all_0_0_0 = e0
% 23.19/6.02 | (792) all_0_20_20 = e4
% 23.19/6.02 | (392) ~ (all_0_4_4 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Equations (792) can reduce 263 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.19/6.02 |
% 23.19/6.02 | Applying alpha-rule on (801) yields:
% 23.19/6.02 | (797) all_0_0_0 = e0
% 23.19/6.02 | (792) all_0_20_20 = e4
% 23.19/6.02 | (276) ~ (all_0_16_16 = e0)
% 23.19/6.02 |
% 23.19/6.02 | Equations (792) can reduce 263 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (792) all_0_20_20 = e4
% 23.19/6.02 | (1902) all_0_16_16 = e0
% 23.19/6.02 |
% 23.19/6.02 | Equations (1902) can reduce 276 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.19/6.02 |
% 23.19/6.02 | Applying alpha-rule on (452) yields:
% 23.19/6.02 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.19/6.02 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.19/6.02 | (422) ~ (all_0_12_12 = e1)
% 23.19/6.02 | (212) all_0_6_6 = e2
% 23.19/6.02 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.19/6.02 | (458) ~ (all_0_13_13 = e1)
% 23.19/6.02 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.19/6.02 | (460) ~ (all_0_9_9 = e1)
% 23.19/6.02 | (461) ~ (all_0_20_20 = e1)
% 23.19/6.02 | (462) ~ (all_0_11_11 = e1)
% 23.19/6.02 | (463) ~ (unit = e1)
% 23.19/6.02 | (464) ~ (all_0_4_4 = e1)
% 23.19/6.02 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.19/6.02 |
% 23.19/6.02 | Equations (326) can reduce 460 to:
% 23.19/6.02 | (578) ~ (e1 = e0)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 578 yields:
% 23.19/6.02 | (109) ~ (e1 = e0)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (186), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (732) all_0_12_12 = e2
% 23.19/6.02 |
% 23.19/6.02 | Equations (732) can reduce 226 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (226) ~ (all_0_12_12 = e2)
% 23.19/6.02 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (875), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (360) all_0_12_12 = e4
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (37), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (538) all_0_0_0 = e1
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (538,797) yields a new equation:
% 23.19/6.02 | (587) e1 = e0
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 587 yields:
% 23.19/6.02 | (561) e1 = e0
% 23.19/6.02 |
% 23.19/6.02 | Equations (561) can reduce 109 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (595) ~ (all_0_0_0 = e1)
% 23.19/6.02 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (600), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (611) all_0_8_8 = e1
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (727,611) yields a new equation:
% 23.19/6.02 | (559) e2 = e1
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 559 yields:
% 23.19/6.02 | (560) e2 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (560) can reduce 114 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (614) ~ (all_0_8_8 = e1)
% 23.19/6.02 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (154), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (532) all_0_16_16 = e2
% 23.19/6.02 |
% 23.19/6.02 | Equations (532) can reduce 542 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (542) ~ (all_0_16_16 = e2)
% 23.19/6.02 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (42), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (818) all_0_11_11 = e2
% 23.19/6.02 |
% 23.19/6.02 | Equations (818) can reduce 313 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (313) ~ (all_0_11_11 = e2)
% 23.19/6.02 | (2486) all_0_11_11 = e4 | all_0_11_11 = e1 | all_0_11_11 = e0
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (2486), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (2395) all_0_11_11 = e4
% 23.19/6.02 |
% 23.19/6.02 | Equations (2395) can reduce 82 to:
% 23.19/6.02 | (392) ~ (all_0_4_4 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Equations (2395) can reduce 155 to:
% 23.19/6.02 | (355) ~ (all_0_10_10 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Equations (2395) can reduce 25 to:
% 23.19/6.02 | (3912) ~ (all_0_15_15 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 3912 yields:
% 23.19/6.02 | (442) ~ (all_0_15_15 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Equations (2395) can reduce 30 to:
% 23.19/6.02 | (23) ~ (e4 = e3)
% 23.19/6.02 |
% 23.19/6.02 | Equations (2395) can reduce 462 to:
% 23.19/6.02 | (207) ~ (e4 = e1)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (91), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (418) all_0_12_12 = e1
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (418,360) yields a new equation:
% 23.19/6.02 | (494) e4 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (494) can reduce 207 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (422) ~ (all_0_12_12 = e1)
% 23.19/6.02 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (306), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (377) all_0_10_10 = e4
% 23.19/6.02 |
% 23.19/6.02 | Equations (377) can reduce 355 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (355) ~ (all_0_10_10 = e4)
% 23.19/6.02 | (380) all_0_10_10 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (380) can reduce 87 to:
% 23.19/6.02 | (698) ~ (all_0_3_3 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Equations (380) can reduce 206 to:
% 23.19/6.02 | (381) ~ (all_0_19_19 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 381 yields:
% 23.19/6.02 | (382) ~ (all_0_19_19 = e1)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (423), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (429) all_0_13_13 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (429) can reduce 458 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (458) ~ (all_0_13_13 = e1)
% 23.19/6.02 | (482) all_0_15_15 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (482) can reduce 78 to:
% 23.19/6.02 | (464) ~ (all_0_4_4 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Equations (482) can reduce 179 to:
% 23.19/6.02 | (458) ~ (all_0_13_13 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Equations (482) can reduce 442 to:
% 23.19/6.02 | (383) ~ (e4 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 383 yields:
% 23.19/6.02 | (207) ~ (e4 = e1)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (129), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (413) all_0_12_12 = e3
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (360,413) yields a new equation:
% 23.19/6.02 | (1217) e4 = e3
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 1217 yields:
% 23.19/6.02 | (373) e4 = e3
% 23.19/6.02 |
% 23.19/6.02 | Equations (373) can reduce 23 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (472) ~ (all_0_12_12 = e3)
% 23.19/6.02 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 23.19/6.02 |
% 23.19/6.02 | Equations (360) can reduce 472 to:
% 23.19/6.02 | (23) ~ (e4 = e3)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (64), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (755) all_0_3_3 = e2
% 23.19/6.02 |
% 23.19/6.02 | Equations (755) can reduce 213 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (213) ~ (all_0_3_3 = e2)
% 23.19/6.02 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (115), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (364) all_0_3_3 = e4
% 23.19/6.02 |
% 23.19/6.02 | Equations (364) can reduce 1220 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (1220) ~ (all_0_3_3 = e4)
% 23.19/6.02 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (1221), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (377) all_0_10_10 = e4
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (380,377) yields a new equation:
% 23.19/6.02 | (494) e4 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (494) can reduce 207 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (355) ~ (all_0_10_10 = e4)
% 23.19/6.02 | (1225) all_0_19_19 = e4
% 23.19/6.02 |
% 23.19/6.02 | Equations (1225) can reduce 158 to:
% 23.19/6.02 | (262) ~ (all_0_20_20 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 262 yields:
% 23.19/6.02 | (263) ~ (all_0_20_20 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Equations (1225) can reduce 382 to:
% 23.19/6.02 | (207) ~ (e4 = e1)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (615), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (418) all_0_12_12 = e1
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (360,418) yields a new equation:
% 23.19/6.02 | (493) e4 = e1
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 493 yields:
% 23.19/6.02 | (494) e4 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (494) can reduce 207 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (422) ~ (all_0_12_12 = e1)
% 23.19/6.02 | (621) all_0_16_16 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (621) can reduce 211 to:
% 23.19/6.02 | (3405) ~ (all_0_17_17 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 3405 yields:
% 23.19/6.02 | (1015) ~ (all_0_17_17 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Equations (621) can reduce 81 to:
% 23.19/6.02 | (2079) ~ (all_0_20_20 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 2079 yields:
% 23.19/6.02 | (461) ~ (all_0_20_20 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Equations (621) can reduce 542 to:
% 23.19/6.02 | (530) ~ (e2 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 530 yields:
% 23.19/6.02 | (114) ~ (e2 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Equations (621) can reduce 276 to:
% 23.19/6.02 | (109) ~ (e1 = e0)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (140), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (372) all_0_3_3 = e3
% 23.19/6.02 |
% 23.19/6.02 | Equations (372) can reduce 47 to:
% 23.19/6.02 | (842) ~ (all_0_1_1 = e3)
% 23.19/6.02 |
% 23.19/6.02 | Equations (372) can reduce 86 to:
% 23.19/6.02 | (426) ~ (all_0_4_4 = e3)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 426 yields:
% 23.19/6.02 | (291) ~ (all_0_4_4 = e3)
% 23.19/6.02 |
% 23.19/6.02 | Equations (372) can reduce 213 to:
% 23.19/6.02 | (183) ~ (e3 = e2)
% 23.19/6.02 |
% 23.19/6.02 | Equations (372) can reduce 698 to:
% 23.19/6.02 | (111) ~ (e3 = e1)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (9), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (605) all_0_1_1 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (605) can reduce 842 to:
% 23.19/6.02 | (528) ~ (e3 = e1)
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 528 yields:
% 23.19/6.02 | (111) ~ (e3 = e1)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (29), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (741) all_0_1_1 = e2
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (741,605) yields a new equation:
% 23.19/6.02 | (559) e2 = e1
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 559 yields:
% 23.19/6.02 | (560) e2 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (560) can reduce 114 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (308) ~ (all_0_1_1 = e2)
% 23.19/6.02 | (2925) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (2925), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (307) all_0_9_9 = e2
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (326,307) yields a new equation:
% 23.19/6.02 | (327) e2 = e0
% 23.19/6.02 |
% 23.19/6.02 | Equations (327) can reduce 39 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (2398) ~ (all_0_9_9 = e2)
% 23.19/6.02 | (3258) all_0_13_13 = e2 | all_0_17_17 = e2
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (3258), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (299) all_0_13_13 = e2
% 23.19/6.02 |
% 23.19/6.02 | Equations (299) can reduce 227 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (227) ~ (all_0_13_13 = e2)
% 23.19/6.02 | (1820) all_0_17_17 = e2
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (161), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (424) all_0_1_1 = e3
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (424,605) yields a new equation:
% 23.19/6.02 | (419) e3 = e1
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 419 yields:
% 23.19/6.02 | (420) e3 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (420) can reduce 111 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (842) ~ (all_0_1_1 = e3)
% 23.19/6.02 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (18), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (523) all_0_20_20 = e1
% 23.19/6.02 |
% 23.19/6.02 | Equations (523) can reduce 461 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (461) ~ (all_0_20_20 = e1)
% 23.19/6.02 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (843), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (868) all_0_13_13 = e3
% 23.19/6.02 |
% 23.19/6.02 | Equations (868) can reduce 21 to:
% 23.19/6.02 | (54) ~ (e3 = e0)
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (780), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (788) all_0_0_0 = e3
% 23.19/6.02 |
% 23.19/6.02 | Combining equations (788,797) yields a new equation:
% 23.19/6.02 | (281) e3 = e0
% 23.19/6.02 |
% 23.19/6.02 | Simplifying 281 yields:
% 23.19/6.02 | (282) e3 = e0
% 23.19/6.02 |
% 23.19/6.02 | Equations (282) can reduce 54 to:
% 23.19/6.02 | (243) $false
% 23.19/6.02 |
% 23.19/6.02 |-The branch is then unsatisfiable
% 23.19/6.02 |-Branch two:
% 23.19/6.02 | (414) ~ (all_0_0_0 = e3)
% 23.19/6.02 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.19/6.02 |
% 23.19/6.02 +-Applying beta-rule and splitting (791), into two cases.
% 23.19/6.02 |-Branch one:
% 23.19/6.02 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.19/6.02 |
% 23.19/6.02 | Applying alpha-rule on (796) yields:
% 23.19/6.03 | (797) all_0_0_0 = e0
% 23.19/6.03 | (792) all_0_20_20 = e4
% 23.19/6.03 | (392) ~ (all_0_4_4 = e4)
% 23.19/6.03 |
% 23.19/6.03 | Equations (792) can reduce 263 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.19/6.03 |
% 23.19/6.03 | Applying alpha-rule on (801) yields:
% 23.19/6.03 | (797) all_0_0_0 = e0
% 23.19/6.03 | (792) all_0_20_20 = e4
% 23.19/6.03 | (276) ~ (all_0_16_16 = e0)
% 23.19/6.03 |
% 23.19/6.03 | Equations (792) can reduce 263 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (416) ~ (all_0_13_13 = e3)
% 23.19/6.03 | (1181) all_0_17_17 = e3
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (1820,1181) yields a new equation:
% 23.19/6.03 | (287) e3 = e2
% 23.19/6.03 |
% 23.19/6.03 | Equations (287) can reduce 183 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (608) ~ (all_0_1_1 = e1)
% 23.19/6.03 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (18), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (523) all_0_20_20 = e1
% 23.19/6.03 |
% 23.19/6.03 | Equations (523) can reduce 461 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (461) ~ (all_0_20_20 = e1)
% 23.19/6.03 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (209), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (641) all_0_4_4 = e3
% 23.19/6.03 |
% 23.19/6.03 | Equations (641) can reduce 291 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (291) ~ (all_0_4_4 = e3)
% 23.19/6.03 | (3359) all_0_7_7 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (871), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (868) all_0_13_13 = e3
% 23.19/6.03 |
% 23.19/6.03 | Equations (868) can reduce 458 to:
% 23.19/6.03 | (111) ~ (e3 = e1)
% 23.19/6.03 |
% 23.19/6.03 | Equations (868) can reduce 21 to:
% 23.19/6.03 | (54) ~ (e3 = e0)
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (3359), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (290) all_0_7_7 = e3
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (3098,290) yields a new equation:
% 23.19/6.03 | (282) e3 = e0
% 23.19/6.03 |
% 23.19/6.03 | Equations (282) can reduce 54 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (468) ~ (all_0_7_7 = e3)
% 23.19/6.03 | (3883) all_0_15_15 = e3 | all_0_20_20 = e3
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (3883), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (1216) all_0_15_15 = e3
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (482,1216) yields a new equation:
% 23.19/6.03 | (420) e3 = e1
% 23.19/6.03 |
% 23.19/6.03 | Equations (420) can reduce 111 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (295) ~ (all_0_15_15 = e3)
% 23.19/6.03 | (1495) all_0_20_20 = e3
% 23.19/6.03 |
% 23.19/6.03 | Equations (1495) can reduce 26 to:
% 23.19/6.03 | (291) ~ (all_0_4_4 = e3)
% 23.19/6.03 |
% 23.19/6.03 | Equations (1495) can reduce 461 to:
% 23.19/6.03 | (111) ~ (e3 = e1)
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (156), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (535) all_0_4_4 = e2
% 23.19/6.03 |
% 23.19/6.03 | Equations (535) can reduce 33 to:
% 23.19/6.03 | (308) ~ (all_0_1_1 = e2)
% 23.19/6.03 |
% 23.19/6.03 | Equations (535) can reduce 291 to:
% 23.19/6.03 | (232) ~ (e3 = e2)
% 23.19/6.03 |
% 23.19/6.03 | Simplifying 232 yields:
% 23.19/6.03 | (183) ~ (e3 = e2)
% 23.19/6.03 |
% 23.19/6.03 | Equations (535) can reduce 344 to:
% 23.19/6.03 | (39) ~ (e2 = e0)
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (29), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (741) all_0_1_1 = e2
% 23.19/6.03 |
% 23.19/6.03 | Equations (741) can reduce 308 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (308) ~ (all_0_1_1 = e2)
% 23.19/6.03 | (2925) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (107), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (538) all_0_0_0 = e1
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (538,797) yields a new equation:
% 23.19/6.03 | (587) e1 = e0
% 23.19/6.03 |
% 23.19/6.03 | Simplifying 587 yields:
% 23.19/6.03 | (561) e1 = e0
% 23.19/6.03 |
% 23.19/6.03 | Equations (561) can reduce 109 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (595) ~ (all_0_0_0 = e1)
% 23.19/6.03 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (2925), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (307) all_0_9_9 = e2
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (307,326) yields a new equation:
% 23.19/6.03 | (339) e2 = e0
% 23.19/6.03 |
% 23.19/6.03 | Simplifying 339 yields:
% 23.19/6.03 | (327) e2 = e0
% 23.19/6.03 |
% 23.19/6.03 | Equations (327) can reduce 39 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (2398) ~ (all_0_9_9 = e2)
% 23.19/6.03 | (3258) all_0_13_13 = e2 | all_0_17_17 = e2
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (3258), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (299) all_0_13_13 = e2
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (868,299) yields a new equation:
% 23.19/6.03 | (400) e3 = e2
% 23.19/6.03 |
% 23.19/6.03 | Simplifying 400 yields:
% 23.19/6.03 | (287) e3 = e2
% 23.19/6.03 |
% 23.19/6.03 | Equations (287) can reduce 183 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (227) ~ (all_0_13_13 = e2)
% 23.19/6.03 | (1820) all_0_17_17 = e2
% 23.19/6.03 |
% 23.19/6.03 | Equations (1820) can reduce 1015 to:
% 23.19/6.03 | (114) ~ (e2 = e1)
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (596), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (605) all_0_1_1 = e1
% 23.19/6.03 |
% 23.19/6.03 | Equations (605) can reduce 608 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (608) ~ (all_0_1_1 = e1)
% 23.19/6.03 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (609), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (695) all_0_3_3 = e1
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (372,695) yields a new equation:
% 23.19/6.03 | (419) e3 = e1
% 23.19/6.03 |
% 23.19/6.03 | Simplifying 419 yields:
% 23.19/6.03 | (420) e3 = e1
% 23.19/6.03 |
% 23.19/6.03 | Equations (420) can reduce 111 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (698) ~ (all_0_3_3 = e1)
% 23.19/6.03 | (634) all_0_4_4 = e1
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (634,535) yields a new equation:
% 23.19/6.03 | (560) e2 = e1
% 23.19/6.03 |
% 23.19/6.03 | Equations (560) can reduce 114 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (625) ~ (all_0_4_4 = e2)
% 23.19/6.03 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (626), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (630) all_0_4_4 = e4
% 23.19/6.03 |
% 23.19/6.03 | Equations (630) can reduce 392 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (392) ~ (all_0_4_4 = e4)
% 23.19/6.03 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (633), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (634) all_0_4_4 = e1
% 23.19/6.03 |
% 23.19/6.03 | Equations (634) can reduce 464 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (464) ~ (all_0_4_4 = e1)
% 23.19/6.03 | (637) all_0_4_4 = e3 | all_0_4_4 = e0
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (637), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (638) all_0_4_4 = e0
% 23.19/6.03 |
% 23.19/6.03 | Equations (638) can reduce 344 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (344) ~ (all_0_4_4 = e0)
% 23.19/6.03 | (641) all_0_4_4 = e3
% 23.19/6.03 |
% 23.19/6.03 | Equations (641) can reduce 291 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (416) ~ (all_0_13_13 = e3)
% 23.19/6.03 | (1216) all_0_15_15 = e3
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (482,1216) yields a new equation:
% 23.19/6.03 | (420) e3 = e1
% 23.19/6.03 |
% 23.19/6.03 | Equations (420) can reduce 111 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (375) ~ (all_0_3_3 = e3)
% 23.19/6.03 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (376), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (286) all_0_6_6 = e3
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (286,212) yields a new equation:
% 23.19/6.03 | (400) e3 = e2
% 23.19/6.03 |
% 23.19/6.03 | Simplifying 400 yields:
% 23.19/6.03 | (287) e3 = e2
% 23.19/6.03 |
% 23.19/6.03 | Equations (287) can reduce 183 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (289) ~ (all_0_6_6 = e3)
% 23.19/6.03 | (404) all_0_19_19 = e3
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (404,1225) yields a new equation:
% 23.19/6.03 | (373) e4 = e3
% 23.19/6.03 |
% 23.19/6.03 | Equations (373) can reduce 23 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (2559) ~ (all_0_11_11 = e4)
% 23.19/6.03 | (2560) all_0_11_11 = e1 | all_0_11_11 = e0
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (2560), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (1145) all_0_11_11 = e1
% 23.19/6.03 |
% 23.19/6.03 | Equations (1145) can reduce 462 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (462) ~ (all_0_11_11 = e1)
% 23.19/6.03 | (343) all_0_11_11 = e0
% 23.19/6.03 |
% 23.19/6.03 | Equations (343) can reduce 2480 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (357) ~ (all_0_12_12 = e4)
% 23.19/6.03 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 23.19/6.03 |
% 23.19/6.03 +-Applying beta-rule and splitting (899), into two cases.
% 23.19/6.03 |-Branch one:
% 23.19/6.03 | (418) all_0_12_12 = e1
% 23.19/6.03 |
% 23.19/6.03 | Equations (418) can reduce 422 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (422) ~ (all_0_12_12 = e1)
% 23.19/6.03 | (413) all_0_12_12 = e3
% 23.19/6.03 |
% 23.19/6.03 | Equations (413) can reduce 472 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.19/6.03 |
% 23.19/6.03 | Applying alpha-rule on (467) yields:
% 23.19/6.03 | (468) ~ (all_0_7_7 = e3)
% 23.19/6.03 | (405) ~ (all_0_16_16 = e3)
% 23.19/6.03 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.19/6.03 | (295) ~ (all_0_15_15 = e3)
% 23.19/6.03 | (472) ~ (all_0_12_12 = e3)
% 23.19/6.03 | (289) ~ (all_0_6_6 = e3)
% 23.19/6.03 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.19/6.03 | (475) ~ (unit = e3)
% 23.19/6.03 | (307) all_0_9_9 = e2
% 23.19/6.03 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.19/6.03 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.19/6.03 | (414) ~ (all_0_0_0 = e3)
% 23.19/6.03 |
% 23.19/6.03 | Combining equations (307,326) yields a new equation:
% 23.19/6.03 | (339) e2 = e0
% 23.19/6.03 |
% 23.19/6.03 | Simplifying 339 yields:
% 23.19/6.03 | (327) e2 = e0
% 23.19/6.03 |
% 23.19/6.03 | Equations (327) can reduce 39 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.19/6.03 |
% 23.19/6.03 | Applying alpha-rule on (481) yields:
% 23.19/6.03 | (482) all_0_15_15 = e1
% 23.19/6.03 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.19/6.03 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.19/6.03 | (329) ~ (all_0_9_9 = e0)
% 23.19/6.03 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.19/6.03 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.19/6.03 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.19/6.03 | (489) ~ (unit = e0)
% 23.19/6.03 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.19/6.03 | (491) ~ (all_0_5_5 = e0)
% 23.19/6.03 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.19/6.03 |
% 23.19/6.03 | Equations (326) can reduce 329 to:
% 23.19/6.03 | (243) $false
% 23.19/6.03 |
% 23.19/6.03 |-The branch is then unsatisfiable
% 23.19/6.03 |-Branch two:
% 23.19/6.03 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.19/6.04 |
% 23.19/6.04 | Applying alpha-rule on (496) yields:
% 23.19/6.04 | (308) ~ (all_0_1_1 = e2)
% 23.19/6.04 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.19/6.04 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.19/6.04 | (214) ~ (all_0_5_5 = e2)
% 23.19/6.04 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.19/6.04 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.19/6.04 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.19/6.04 | (213) ~ (all_0_3_3 = e2)
% 23.19/6.04 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.19/6.04 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.19/6.04 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.19/6.04 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.19/6.04 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.19/6.04 | (309) ~ (all_0_8_8 = e2)
% 23.19/6.04 | (220) ~ (all_0_19_19 = e2)
% 23.19/6.04 | (315) ~ (all_0_17_17 = e2)
% 23.19/6.04 | (216) ~ (all_0_7_7 = e2)
% 23.19/6.04 | (218) ~ (all_0_10_10 = e2)
% 23.19/6.04 | (227) ~ (all_0_13_13 = e2)
% 23.19/6.04 | (229) ~ (all_0_15_15 = e2)
% 23.19/6.04 | (313) ~ (all_0_11_11 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (727) can reduce 309 to:
% 23.19/6.04 | (243) $false
% 23.19/6.04 |
% 23.19/6.04 |-The branch is then unsatisfiable
% 23.19/6.04 |-Branch two:
% 23.19/6.04 | (329) ~ (all_0_9_9 = e0)
% 23.19/6.04 | (343) all_0_11_11 = e0
% 23.19/6.04 |
% 23.19/6.04 | Equations (343) can reduce 2480 to:
% 23.19/6.04 | (243) $false
% 23.19/6.04 |
% 23.19/6.04 |-The branch is then unsatisfiable
% 23.19/6.04 |-Branch two:
% 23.19/6.04 | (268) ~ (all_0_0_0 = e0)
% 23.19/6.04 | (6782) all_0_5_5 = e0 | all_0_8_8 = e0 | all_0_16_16 = e0
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (6782), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (267) all_0_5_5 = e0
% 23.19/6.04 |
% 23.19/6.04 | Combining equations (267,280) yields a new equation:
% 23.19/6.04 | (282) e3 = e0
% 23.19/6.04 |
% 23.19/6.04 | Equations (282) can reduce 54 to:
% 23.19/6.04 | (243) $false
% 23.19/6.04 |
% 23.19/6.04 |-The branch is then unsatisfiable
% 23.19/6.04 |-Branch two:
% 23.19/6.04 | (491) ~ (all_0_5_5 = e0)
% 23.19/6.04 | (6787) all_0_8_8 = e0 | all_0_16_16 = e0
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (132), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (318) all_0_8_8 = e0
% 23.19/6.04 |
% 23.19/6.04 | Combining equations (318,727) yields a new equation:
% 23.19/6.04 | (327) e2 = e0
% 23.19/6.04 |
% 23.19/6.04 | Equations (327) can reduce 39 to:
% 23.19/6.04 | (243) $false
% 23.19/6.04 |
% 23.19/6.04 |-The branch is then unsatisfiable
% 23.19/6.04 |-Branch two:
% 23.19/6.04 | (272) ~ (all_0_8_8 = e0)
% 23.19/6.04 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (321), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (326) all_0_9_9 = e0
% 23.19/6.04 |
% 23.19/6.04 | Equations (326) can reduce 2398 to:
% 23.19/6.04 | (277) ~ (e2 = e0)
% 23.19/6.04 |
% 23.19/6.04 | Simplifying 277 yields:
% 23.19/6.04 | (39) ~ (e2 = e0)
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (6787), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (318) all_0_8_8 = e0
% 23.19/6.04 |
% 23.19/6.04 | Combining equations (727,318) yields a new equation:
% 23.19/6.04 | (339) e2 = e0
% 23.19/6.04 |
% 23.19/6.04 | Simplifying 339 yields:
% 23.19/6.04 | (327) e2 = e0
% 23.19/6.04 |
% 23.19/6.04 | Equations (327) can reduce 39 to:
% 23.19/6.04 | (243) $false
% 23.19/6.04 |
% 23.19/6.04 |-The branch is then unsatisfiable
% 23.19/6.04 |-Branch two:
% 23.19/6.04 | (272) ~ (all_0_8_8 = e0)
% 23.19/6.04 | (1902) all_0_16_16 = e0
% 23.19/6.04 |
% 23.19/6.04 | Equations (1902) can reduce 276 to:
% 23.19/6.04 | (243) $false
% 23.19/6.04 |
% 23.19/6.04 |-The branch is then unsatisfiable
% 23.19/6.04 |-Branch two:
% 23.19/6.04 | (329) ~ (all_0_9_9 = e0)
% 23.19/6.04 | (343) all_0_11_11 = e0
% 23.19/6.04 |
% 23.19/6.04 | Equations (343) can reduce 2480 to:
% 23.19/6.04 | (243) $false
% 23.19/6.04 |
% 23.19/6.04 |-The branch is then unsatisfiable
% 23.19/6.04 |-Branch two:
% 23.19/6.04 | (309) ~ (all_0_8_8 = e2)
% 23.19/6.04 | (2629) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (2629), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (307) all_0_9_9 = e2
% 23.19/6.04 |
% 23.19/6.04 | Equations (307) can reduce 2398 to:
% 23.19/6.04 | (243) $false
% 23.19/6.04 |
% 23.19/6.04 |-The branch is then unsatisfiable
% 23.19/6.04 |-Branch two:
% 23.19/6.04 | (2398) ~ (all_0_9_9 = e2)
% 23.19/6.04 | (2633) all_0_10_10 = e2 | all_0_11_11 = e2
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (2633), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (303) all_0_10_10 = e2
% 23.19/6.04 |
% 23.19/6.04 | Equations (303) can reduce 218 to:
% 23.19/6.04 | (243) $false
% 23.19/6.04 |
% 23.19/6.04 |-The branch is then unsatisfiable
% 23.19/6.04 |-Branch two:
% 23.19/6.04 | (218) ~ (all_0_10_10 = e2)
% 23.19/6.04 | (818) all_0_11_11 = e2
% 23.19/6.04 |
% 23.19/6.04 | Equations (818) can reduce 82 to:
% 23.19/6.04 | (625) ~ (all_0_4_4 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (818) can reduce 7 to:
% 23.19/6.04 | (309) ~ (all_0_8_8 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (818) can reduce 14 to:
% 23.19/6.04 | (2398) ~ (all_0_9_9 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (818) can reduce 155 to:
% 23.19/6.04 | (218) ~ (all_0_10_10 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (818) can reduce 25 to:
% 23.19/6.04 | (228) ~ (all_0_15_15 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Simplifying 228 yields:
% 23.19/6.04 | (229) ~ (all_0_15_15 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (818) can reduce 45 to:
% 23.19/6.04 | (782) ~ (all_0_20_20 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Simplifying 782 yields:
% 23.19/6.04 | (522) ~ (all_0_20_20 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (818) can reduce 2480 to:
% 23.19/6.04 | (39) ~ (e2 = e0)
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (29), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (741) all_0_1_1 = e2
% 23.19/6.04 |
% 23.19/6.04 | Equations (741) can reduce 178 to:
% 23.19/6.04 | (536) ~ (all_0_0_0 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (741) can reduce 33 to:
% 23.19/6.04 | (1538) ~ (all_0_4_4 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Simplifying 1538 yields:
% 23.19/6.04 | (625) ~ (all_0_4_4 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (741) can reduce 110 to:
% 23.19/6.04 | (2401) ~ (all_0_9_9 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Simplifying 2401 yields:
% 23.19/6.04 | (2398) ~ (all_0_9_9 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Equations (741) can reduce 73 to:
% 23.19/6.04 | (314) ~ (all_0_17_17 = e2)
% 23.19/6.04 |
% 23.19/6.04 | Simplifying 314 yields:
% 23.19/6.04 | (315) ~ (all_0_17_17 = e2)
% 23.19/6.04 |
% 23.19/6.04 | From (741) and (133) follows:
% 23.19/6.04 | (2796) op(e4, e3) = e2
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (72), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (433), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.19/6.04 |
% 23.19/6.04 +-Applying beta-rule and splitting (434), into two cases.
% 23.19/6.04 |-Branch one:
% 23.19/6.04 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (435), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Applying alpha-rule on (436) yields:
% 23.19/6.05 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.19/6.05 | (438) ~ (unit = e4)
% 23.19/6.05 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.19/6.05 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.19/6.05 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.19/6.05 | (442) ~ (all_0_15_15 = e4)
% 23.19/6.05 | (280) all_0_5_5 = e3
% 23.19/6.05 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.19/6.05 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.19/6.05 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.19/6.05 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.19/6.05 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (448), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (250) ~ (all_0_2_2 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Equations (246) can reduce 250 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (246) all_0_2_2 = e4
% 23.19/6.05 | (672) all_0_0_0 = e2
% 23.19/6.05 |
% 23.19/6.05 | Equations (672) can reduce 536 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.19/6.05 |
% 23.19/6.05 | Applying alpha-rule on (452) yields:
% 23.19/6.05 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.19/6.05 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.19/6.05 | (422) ~ (all_0_12_12 = e1)
% 23.19/6.05 | (212) all_0_6_6 = e2
% 23.19/6.05 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.19/6.05 | (458) ~ (all_0_13_13 = e1)
% 23.19/6.05 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.19/6.05 | (460) ~ (all_0_9_9 = e1)
% 23.19/6.05 | (461) ~ (all_0_20_20 = e1)
% 23.19/6.05 | (462) ~ (all_0_11_11 = e1)
% 23.19/6.05 | (463) ~ (unit = e1)
% 23.19/6.05 | (464) ~ (all_0_4_4 = e1)
% 23.19/6.05 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (18), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (523) all_0_20_20 = e1
% 23.19/6.05 |
% 23.19/6.05 | Equations (523) can reduce 461 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (461) ~ (all_0_20_20 = e1)
% 23.19/6.05 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (780), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (788) all_0_0_0 = e3
% 23.19/6.05 |
% 23.19/6.05 | Equations (788) can reduce 414 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (414) ~ (all_0_0_0 = e3)
% 23.19/6.05 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (791), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Applying alpha-rule on (796) yields:
% 23.19/6.05 | (797) all_0_0_0 = e0
% 23.19/6.05 | (792) all_0_20_20 = e4
% 23.19/6.05 | (392) ~ (all_0_4_4 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Equations (797) can reduce 85 to:
% 23.19/6.05 | (238) ~ (all_0_3_3 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 238 yields:
% 23.19/6.05 | (193) ~ (all_0_3_3 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Equations (797) can reduce 93 to:
% 23.19/6.05 | (4133) ~ (all_0_4_4 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 4133 yields:
% 23.19/6.05 | (344) ~ (all_0_4_4 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Equations (797) can reduce 536 to:
% 23.19/6.05 | (277) ~ (e2 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 277 yields:
% 23.19/6.05 | (39) ~ (e2 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Equations (792) can reduce 26 to:
% 23.19/6.05 | (392) ~ (all_0_4_4 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Equations (792) can reduce 40 to:
% 23.19/6.05 | (442) ~ (all_0_15_15 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Equations (792) can reduce 81 to:
% 23.19/6.05 | (258) ~ (all_0_16_16 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Equations (792) can reduce 158 to:
% 23.19/6.05 | (261) ~ (all_0_19_19 = e4)
% 23.19/6.05 |
% 23.19/6.05 | From (792) and (177) follows:
% 23.19/6.05 | (4292) op(e0, e0) = e4
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (150), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (360) all_0_12_12 = e4
% 23.19/6.05 |
% 23.19/6.05 | Equations (360) can reduce 174 to:
% 23.19/6.05 | (1227) ~ (all_0_8_8 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Equations (360) can reduce 36 to:
% 23.19/6.05 | (3912) ~ (all_0_15_15 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 3912 yields:
% 23.19/6.05 | (442) ~ (all_0_15_15 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Equations (360) can reduce 226 to:
% 23.19/6.05 | (194) ~ (e4 = e2)
% 23.19/6.05 |
% 23.19/6.05 | From (360) and (103) follows:
% 23.19/6.05 | (566) op(e1, e4) = e4
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (49), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (353) all_0_8_8 = e4
% 23.19/6.05 |
% 23.19/6.05 | Equations (353) can reduce 1227 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (1227) ~ (all_0_8_8 = e4)
% 23.19/6.05 | (1228) all_0_10_10 = e4 | all_0_11_11 = e4
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (1228), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (377) all_0_10_10 = e4
% 23.19/6.05 |
% 23.19/6.05 | Equations (377) can reduce 38 to:
% 23.19/6.05 | (1227) ~ (all_0_8_8 = e4)
% 23.19/6.05 |
% 23.19/6.05 | Equations (377) can reduce 218 to:
% 23.19/6.05 | (194) ~ (e4 = e2)
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (176), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (322) all_0_1_1 = e0
% 23.19/6.05 |
% 23.19/6.05 | Combining equations (322,741) yields a new equation:
% 23.19/6.05 | (327) e2 = e0
% 23.19/6.05 |
% 23.19/6.05 | Equations (327) can reduce 39 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (237) ~ (all_0_1_1 = e0)
% 23.19/6.05 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (325), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (326) all_0_9_9 = e0
% 23.19/6.05 |
% 23.19/6.05 | Equations (326) can reduce 3 to:
% 23.19/6.05 | (272) ~ (all_0_8_8 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Equations (326) can reduce 2398 to:
% 23.19/6.05 | (277) ~ (e2 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 277 yields:
% 23.19/6.05 | (39) ~ (e2 = e0)
% 23.19/6.05 |
% 23.19/6.05 | From (326) and (44) follows:
% 23.19/6.05 | (2653) op(e2, e3) = e0
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (198), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (727) all_0_8_8 = e2
% 23.19/6.05 |
% 23.19/6.05 | Equations (727) can reduce 309 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (309) ~ (all_0_8_8 = e2)
% 23.19/6.05 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (1232), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (353) all_0_8_8 = e4
% 23.19/6.05 |
% 23.19/6.05 | Equations (353) can reduce 1227 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (1227) ~ (all_0_8_8 = e4)
% 23.19/6.05 | (2388) all_0_8_8 = e1 | all_0_8_8 = e0
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (2388), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (611) all_0_8_8 = e1
% 23.19/6.05 |
% 23.19/6.05 | Equations (611) can reduce 187 to:
% 23.19/6.05 | (906) ~ (all_0_16_16 = e1)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 906 yields:
% 23.19/6.05 | (525) ~ (all_0_16_16 = e1)
% 23.19/6.05 |
% 23.19/6.05 | Equations (611) can reduce 272 to:
% 23.19/6.05 | (109) ~ (e1 = e0)
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (154), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (532) all_0_16_16 = e2
% 23.19/6.05 |
% 23.19/6.05 | Equations (532) can reduce 525 to:
% 23.19/6.05 | (114) ~ (e2 = e1)
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (107), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (538) all_0_0_0 = e1
% 23.19/6.05 |
% 23.19/6.05 | Combining equations (538,797) yields a new equation:
% 23.19/6.05 | (587) e1 = e0
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 587 yields:
% 23.19/6.05 | (561) e1 = e0
% 23.19/6.05 |
% 23.19/6.05 | Equations (561) can reduce 109 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (595) ~ (all_0_0_0 = e1)
% 23.19/6.05 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 23.19/6.05 |
% 23.19/6.05 | Equations (797) can reduce 595 to:
% 23.19/6.05 | (578) ~ (e1 = e0)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 578 yields:
% 23.19/6.05 | (109) ~ (e1 = e0)
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (156), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (535) all_0_4_4 = e2
% 23.19/6.05 |
% 23.19/6.05 | Equations (535) can reduce 625 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (625) ~ (all_0_4_4 = e2)
% 23.19/6.05 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (9), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (605) all_0_1_1 = e1
% 23.19/6.05 |
% 23.19/6.05 | Combining equations (605,741) yields a new equation:
% 23.19/6.05 | (560) e2 = e1
% 23.19/6.05 |
% 23.19/6.05 | Equations (560) can reduce 114 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (608) ~ (all_0_1_1 = e1)
% 23.19/6.05 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (626), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (630) all_0_4_4 = e4
% 23.19/6.05 |
% 23.19/6.05 | Equations (630) can reduce 392 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (392) ~ (all_0_4_4 = e4)
% 23.19/6.05 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (633), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (634) all_0_4_4 = e1
% 23.19/6.05 |
% 23.19/6.05 | Equations (634) can reduce 464 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (464) ~ (all_0_4_4 = e1)
% 23.19/6.05 | (637) all_0_4_4 = e3 | all_0_4_4 = e0
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (1277), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (1290) all_0_9_9 = e1
% 23.19/6.05 |
% 23.19/6.05 | Combining equations (326,1290) yields a new equation:
% 23.19/6.05 | (561) e1 = e0
% 23.19/6.05 |
% 23.19/6.05 | Equations (561) can reduce 109 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (460) ~ (all_0_9_9 = e1)
% 23.19/6.05 | (1295) all_0_13_13 = e1 | all_0_17_17 = e1
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (637), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (638) all_0_4_4 = e0
% 23.19/6.05 |
% 23.19/6.05 | Equations (638) can reduce 344 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (344) ~ (all_0_4_4 = e0)
% 23.19/6.05 | (641) all_0_4_4 = e3
% 23.19/6.05 |
% 23.19/6.05 | Equations (641) can reduce 86 to:
% 23.19/6.05 | (375) ~ (all_0_3_3 = e3)
% 23.19/6.05 |
% 23.19/6.05 | Equations (641) can reduce 78 to:
% 23.19/6.05 | (294) ~ (all_0_15_15 = e3)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 294 yields:
% 23.19/6.05 | (295) ~ (all_0_15_15 = e3)
% 23.19/6.05 |
% 23.19/6.05 | Equations (641) can reduce 625 to:
% 23.19/6.05 | (183) ~ (e3 = e2)
% 23.19/6.05 |
% 23.19/6.05 | From (641) and (181) follows:
% 23.19/6.05 | (6967) op(e4, e0) = e3
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (126), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (823) all_0_15_15 = e2
% 23.19/6.05 |
% 23.19/6.05 | Equations (823) can reduce 229 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (229) ~ (all_0_15_15 = e2)
% 23.19/6.05 | (4171) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (1295), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (429) all_0_13_13 = e1
% 23.19/6.05 |
% 23.19/6.05 | Equations (429) can reduce 458 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (458) ~ (all_0_13_13 = e1)
% 23.19/6.05 | (1012) all_0_17_17 = e1
% 23.19/6.05 |
% 23.19/6.05 | Equations (1012) can reduce 22 to:
% 23.19/6.05 | (381) ~ (all_0_19_19 = e1)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 381 yields:
% 23.19/6.05 | (382) ~ (all_0_19_19 = e1)
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (4171), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (391) all_0_15_15 = e4
% 23.19/6.05 |
% 23.19/6.05 | Equations (391) can reduce 442 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (442) ~ (all_0_15_15 = e4)
% 23.19/6.05 | (4209) all_0_15_15 = e3 | all_0_15_15 = e1
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (4209), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (482) all_0_15_15 = e1
% 23.19/6.05 |
% 23.19/6.05 | Equations (482) can reduce 442 to:
% 23.19/6.05 | (383) ~ (e4 = e1)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 383 yields:
% 23.19/6.05 | (207) ~ (e4 = e1)
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (140), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (372) all_0_3_3 = e3
% 23.19/6.05 |
% 23.19/6.05 | Equations (372) can reduce 375 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (375) ~ (all_0_3_3 = e3)
% 23.19/6.05 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (161), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (424) all_0_1_1 = e3
% 23.19/6.05 |
% 23.19/6.05 | Combining equations (424,741) yields a new equation:
% 23.19/6.05 | (400) e3 = e2
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 400 yields:
% 23.19/6.05 | (287) e3 = e2
% 23.19/6.05 |
% 23.19/6.05 | Equations (287) can reduce 183 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (842) ~ (all_0_1_1 = e3)
% 23.19/6.05 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 23.19/6.05 |
% 23.19/6.05 | Equations (741) can reduce 842 to:
% 23.19/6.05 | (232) ~ (e3 = e2)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 232 yields:
% 23.19/6.05 | (183) ~ (e3 = e2)
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (104), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (695) all_0_3_3 = e1
% 23.19/6.05 |
% 23.19/6.05 | Equations (695) can reduce 135 to:
% 23.19/6.05 | (381) ~ (all_0_19_19 = e1)
% 23.19/6.05 |
% 23.19/6.05 | Simplifying 381 yields:
% 23.19/6.05 | (382) ~ (all_0_19_19 = e1)
% 23.19/6.05 |
% 23.19/6.05 | Equations (695) can reduce 193 to:
% 23.19/6.05 | (109) ~ (e1 = e0)
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (376), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (286) all_0_6_6 = e3
% 23.19/6.05 |
% 23.19/6.05 | Combining equations (212,286) yields a new equation:
% 23.19/6.05 | (287) e3 = e2
% 23.19/6.05 |
% 23.19/6.05 | Equations (287) can reduce 183 to:
% 23.19/6.05 | (243) $false
% 23.19/6.05 |
% 23.19/6.05 |-The branch is then unsatisfiable
% 23.19/6.05 |-Branch two:
% 23.19/6.05 | (289) ~ (all_0_6_6 = e3)
% 23.19/6.05 | (404) all_0_19_19 = e3
% 23.19/6.05 |
% 23.19/6.05 | Equations (404) can reduce 382 to:
% 23.19/6.05 | (111) ~ (e3 = e1)
% 23.19/6.05 |
% 23.19/6.05 | From (404) and (168) follows:
% 23.19/6.05 | (412) op(e0, e1) = e3
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (843), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (868) all_0_13_13 = e3
% 23.19/6.05 |
% 23.19/6.05 | From (868) and (51) follows:
% 23.19/6.05 | (567) op(e1, e3) = e3
% 23.19/6.05 |
% 23.19/6.05 +-Applying beta-rule and splitting (46), into two cases.
% 23.19/6.05 |-Branch one:
% 23.19/6.05 | (548) unit = e2
% 23.19/6.05 |
% 23.19/6.05 | From (548) and (121) follows:
% 23.19/6.05 | (2816) op(e2, e3) = e3
% 23.19/6.06 |
% 23.19/6.06 | From (548) and (102) follows:
% 23.19/6.06 | (3465) op(e3, e2) = e3
% 23.19/6.06 |
% 23.19/6.06 | From (548) and (139) follows:
% 23.19/6.06 | (2817) op(e2, e2) = e2
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 23.19/6.06 | (420) e3 = e1
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields:
% 23.19/6.06 | (282) e3 = e0
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 23.19/6.06 | (287) e3 = e2
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (420,287) yields a new equation:
% 23.19/6.06 | (560) e2 = e1
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (282,287) yields a new equation:
% 23.19/6.06 | (327) e2 = e0
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (327,560) yields a new equation:
% 23.19/6.06 | (561) e1 = e0
% 23.19/6.06 |
% 23.19/6.06 | Equations (561) can reduce 109 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (547) ~ (unit = e2)
% 23.19/6.06 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 23.19/6.06 |
% 23.19/6.06 +-Applying beta-rule and splitting (551), into two cases.
% 23.19/6.06 |-Branch one:
% 23.19/6.06 | (552) unit = e4
% 23.19/6.06 |
% 23.19/6.06 | From (552) and (121) follows:
% 23.19/6.06 | (1035) op(e4, e3) = e3
% 23.19/6.06 |
% 23.19/6.06 | From (552) and (184) follows:
% 23.19/6.06 | (4339) op(e4, e2) = e2
% 23.19/6.06 |
% 23.19/6.06 | From (552) and (77) follows:
% 23.19/6.06 | (7026) op(e4, e0) = e0
% 23.19/6.06 |
% 23.19/6.06 | From (552) and (172) follows:
% 23.19/6.06 | (2832) op(e1, e4) = e1
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e4, e3, e3, e2 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e2, yields:
% 23.19/6.06 | (287) e3 = e2
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields:
% 23.19/6.06 | (254) e4 = e2
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields:
% 23.19/6.06 | (282) e3 = e0
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 23.19/6.06 | (494) e4 = e1
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (494,254) yields a new equation:
% 23.19/6.06 | (560) e2 = e1
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (282,287) yields a new equation:
% 23.19/6.06 | (327) e2 = e0
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (327,560) yields a new equation:
% 23.19/6.06 | (561) e1 = e0
% 23.19/6.06 |
% 23.19/6.06 | Equations (561) can reduce 109 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (438) ~ (unit = e4)
% 23.19/6.06 | (564) unit = e3 | unit = e1 | unit = e0
% 23.19/6.06 |
% 23.19/6.06 +-Applying beta-rule and splitting (564), into two cases.
% 23.19/6.06 |-Branch one:
% 23.19/6.06 | (565) unit = e1
% 23.19/6.06 |
% 23.19/6.06 | Equations (565) can reduce 463 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (463) ~ (unit = e1)
% 23.19/6.06 | (576) unit = e3 | unit = e0
% 23.19/6.06 |
% 23.19/6.06 +-Applying beta-rule and splitting (576), into two cases.
% 23.19/6.06 |-Branch one:
% 23.19/6.06 | (577) unit = e0
% 23.19/6.06 |
% 23.19/6.06 | Equations (577) can reduce 463 to:
% 23.19/6.06 | (578) ~ (e1 = e0)
% 23.19/6.06 |
% 23.19/6.06 | Simplifying 578 yields:
% 23.19/6.06 | (109) ~ (e1 = e0)
% 23.19/6.06 |
% 23.19/6.06 | From (577) and (100) follows:
% 23.19/6.06 | (2851) op(e0, e1) = e1
% 23.19/6.06 |
% 23.19/6.06 | From (577) and (95) follows:
% 23.19/6.06 | (7046) op(e4, e0) = e4
% 23.19/6.06 |
% 23.19/6.06 | From (577) and (175) follows:
% 23.19/6.06 | (4359) op(e0, e0) = e0
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e4, e0, e4, e3 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e3, yields:
% 23.19/6.06 | (373) e4 = e3
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 23.19/6.06 | (420) e3 = e1
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields:
% 23.19/6.06 | (248) e4 = e0
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (373,248) yields a new equation:
% 23.19/6.06 | (281) e3 = e0
% 23.19/6.06 |
% 23.19/6.06 | Simplifying 281 yields:
% 23.19/6.06 | (282) e3 = e0
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (420,282) yields a new equation:
% 23.19/6.06 | (587) e1 = e0
% 23.19/6.06 |
% 23.19/6.06 | Simplifying 587 yields:
% 23.19/6.06 | (561) e1 = e0
% 23.19/6.06 |
% 23.19/6.06 | Equations (561) can reduce 109 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (489) ~ (unit = e0)
% 23.19/6.06 | (591) unit = e3
% 23.19/6.06 |
% 23.19/6.06 | From (591) and (95) follows:
% 23.19/6.06 | (2858) op(e4, e3) = e4
% 23.19/6.06 |
% 23.19/6.06 | From (591) and (102) follows:
% 23.19/6.06 | (1080) op(e3, e3) = e3
% 23.19/6.06 |
% 23.19/6.06 | From (591) and (139) follows:
% 23.19/6.06 | (7060) op(e2, e3) = e2
% 23.19/6.06 |
% 23.19/6.06 | From (591) and (172) follows:
% 23.19/6.06 | (432) op(e1, e3) = e1
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 23.19/6.06 | (254) e4 = e2
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 23.19/6.06 | (373) e4 = e3
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 23.19/6.06 | (327) e2 = e0
% 23.19/6.06 |
% 23.19/6.06 | Instantiating formula (105) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 23.19/6.06 | (420) e3 = e1
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (254,373) yields a new equation:
% 23.19/6.06 | (287) e3 = e2
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (287,420) yields a new equation:
% 23.19/6.06 | (559) e2 = e1
% 23.19/6.06 |
% 23.19/6.06 | Simplifying 559 yields:
% 23.19/6.06 | (560) e2 = e1
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (327,560) yields a new equation:
% 23.19/6.06 | (561) e1 = e0
% 23.19/6.06 |
% 23.19/6.06 | Equations (561) can reduce 109 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (416) ~ (all_0_13_13 = e3)
% 23.19/6.06 | (1181) all_0_17_17 = e3
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (1012,1181) yields a new equation:
% 23.19/6.06 | (420) e3 = e1
% 23.19/6.06 |
% 23.19/6.06 | Equations (420) can reduce 111 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (698) ~ (all_0_3_3 = e1)
% 23.19/6.06 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 23.19/6.06 |
% 23.19/6.06 +-Applying beta-rule and splitting (454), into two cases.
% 23.19/6.06 |-Branch one:
% 23.19/6.06 | (1015) ~ (all_0_17_17 = e1)
% 23.19/6.06 |
% 23.19/6.06 | Equations (1012) can reduce 1015 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (1012) all_0_17_17 = e1
% 23.19/6.06 | (404) all_0_19_19 = e3
% 23.19/6.06 |
% 23.19/6.06 | Equations (404) can reduce 382 to:
% 23.19/6.06 | (111) ~ (e3 = e1)
% 23.19/6.06 |
% 23.19/6.06 +-Applying beta-rule and splitting (2066), into two cases.
% 23.19/6.06 |-Branch one:
% 23.19/6.06 | (380) all_0_10_10 = e1
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (377,380) yields a new equation:
% 23.19/6.06 | (493) e4 = e1
% 23.19/6.06 |
% 23.19/6.06 | Simplifying 493 yields:
% 23.19/6.06 | (494) e4 = e1
% 23.19/6.06 |
% 23.19/6.06 | Equations (494) can reduce 207 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (2075) ~ (all_0_10_10 = e1)
% 23.19/6.06 | (1017) all_0_19_19 = e1
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (404,1017) yields a new equation:
% 23.19/6.06 | (419) e3 = e1
% 23.19/6.06 |
% 23.19/6.06 | Simplifying 419 yields:
% 23.19/6.06 | (420) e3 = e1
% 23.19/6.06 |
% 23.19/6.06 | Equations (420) can reduce 111 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (1154) ~ (all_0_15_15 = e1)
% 23.19/6.06 | (1216) all_0_15_15 = e3
% 23.19/6.06 |
% 23.19/6.06 | Equations (1216) can reduce 295 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (542) ~ (all_0_16_16 = e2)
% 23.19/6.06 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.19/6.06 |
% 23.19/6.06 +-Applying beta-rule and splitting (120), into two cases.
% 23.19/6.06 |-Branch one:
% 23.19/6.06 | (532) all_0_16_16 = e2
% 23.19/6.06 |
% 23.19/6.06 | Equations (532) can reduce 542 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (542) ~ (all_0_16_16 = e2)
% 23.19/6.06 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.19/6.06 |
% 23.19/6.06 +-Applying beta-rule and splitting (671), into two cases.
% 23.19/6.06 |-Branch one:
% 23.19/6.06 | (1820) all_0_17_17 = e2
% 23.19/6.06 |
% 23.19/6.06 | Equations (1820) can reduce 315 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (315) ~ (all_0_17_17 = e2)
% 23.19/6.06 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.19/6.06 |
% 23.19/6.06 +-Applying beta-rule and splitting (136), into two cases.
% 23.19/6.06 |-Branch one:
% 23.19/6.06 | (672) all_0_0_0 = e2
% 23.19/6.06 |
% 23.19/6.06 | Combining equations (672,797) yields a new equation:
% 23.19/6.06 | (339) e2 = e0
% 23.19/6.06 |
% 23.19/6.06 | Simplifying 339 yields:
% 23.19/6.06 | (327) e2 = e0
% 23.19/6.06 |
% 23.19/6.06 | Equations (327) can reduce 39 to:
% 23.19/6.06 | (243) $false
% 23.19/6.06 |
% 23.19/6.06 |-The branch is then unsatisfiable
% 23.19/6.06 |-Branch two:
% 23.19/6.06 | (536) ~ (all_0_0_0 = e2)
% 23.19/6.06 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 23.19/6.06 |
% 23.19/6.06 | Equations (797) can reduce 536 to:
% 23.19/6.06 | (277) ~ (e2 = e0)
% 23.19/6.06 |
% 23.19/6.06 | Simplifying 277 yields:
% 23.19/6.06 | (39) ~ (e2 = e0)
% 23.19/6.06 |
% 23.19/6.06 +-Applying beta-rule and splitting (1824), into two cases.
% 23.19/6.06 |-Branch one:
% 23.19/6.06 | (242) all_0_18_18 = e2
% 23.42/6.06 |
% 23.42/6.06 | Combining equations (832,242) yields a new equation:
% 23.42/6.06 | (327) e2 = e0
% 23.42/6.06 |
% 23.42/6.06 | Equations (327) can reduce 39 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (231) ~ (all_0_18_18 = e2)
% 23.42/6.06 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.06 |
% 23.42/6.06 +-Applying beta-rule and splitting (1837), into two cases.
% 23.42/6.06 |-Branch one:
% 23.42/6.06 | (1262) all_0_19_19 = e2
% 23.42/6.06 |
% 23.42/6.06 | Equations (1262) can reduce 220 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.06 | (784) all_0_20_20 = e2
% 23.42/6.06 |
% 23.42/6.06 | Combining equations (784,792) yields a new equation:
% 23.42/6.06 | (254) e4 = e2
% 23.42/6.06 |
% 23.42/6.06 | Equations (254) can reduce 194 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (614) ~ (all_0_8_8 = e1)
% 23.42/6.06 | (318) all_0_8_8 = e0
% 23.42/6.06 |
% 23.42/6.06 | Equations (318) can reduce 272 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.06 | (330) all_0_17_17 = e0
% 23.42/6.06 |
% 23.42/6.06 | Equations (330) can reduce 2482 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (355) ~ (all_0_10_10 = e4)
% 23.42/6.06 | (2395) all_0_11_11 = e4
% 23.42/6.06 |
% 23.42/6.06 | Combining equations (818,2395) yields a new equation:
% 23.42/6.06 | (254) e4 = e2
% 23.42/6.06 |
% 23.42/6.06 | Equations (254) can reduce 194 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (357) ~ (all_0_12_12 = e4)
% 23.42/6.06 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 23.42/6.06 |
% 23.42/6.06 +-Applying beta-rule and splitting (115), into two cases.
% 23.42/6.06 |-Branch one:
% 23.42/6.06 | (364) all_0_3_3 = e4
% 23.42/6.06 |
% 23.42/6.06 | Equations (364) can reduce 1220 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (1220) ~ (all_0_3_3 = e4)
% 23.42/6.06 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 23.42/6.06 |
% 23.42/6.06 +-Applying beta-rule and splitting (1221), into two cases.
% 23.42/6.06 |-Branch one:
% 23.42/6.06 | (377) all_0_10_10 = e4
% 23.42/6.06 |
% 23.42/6.06 | Equations (377) can reduce 218 to:
% 23.42/6.06 | (194) ~ (e4 = e2)
% 23.42/6.06 |
% 23.42/6.06 +-Applying beta-rule and splitting (91), into two cases.
% 23.42/6.06 |-Branch one:
% 23.42/6.06 | (418) all_0_12_12 = e1
% 23.42/6.06 |
% 23.42/6.06 | Equations (418) can reduce 422 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (422) ~ (all_0_12_12 = e1)
% 23.42/6.06 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 23.42/6.06 |
% 23.42/6.06 +-Applying beta-rule and splitting (423), into two cases.
% 23.42/6.06 |-Branch one:
% 23.42/6.06 | (429) all_0_13_13 = e1
% 23.42/6.06 |
% 23.42/6.06 | Equations (429) can reduce 458 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.06 | (482) all_0_15_15 = e1
% 23.42/6.06 |
% 23.42/6.06 | Equations (482) can reduce 442 to:
% 23.42/6.06 | (383) ~ (e4 = e1)
% 23.42/6.06 |
% 23.42/6.06 | Simplifying 383 yields:
% 23.42/6.06 | (207) ~ (e4 = e1)
% 23.42/6.06 |
% 23.42/6.06 +-Applying beta-rule and splitting (176), into two cases.
% 23.42/6.06 |-Branch one:
% 23.42/6.06 | (322) all_0_1_1 = e0
% 23.42/6.06 |
% 23.42/6.06 | Combining equations (322,741) yields a new equation:
% 23.42/6.06 | (327) e2 = e0
% 23.42/6.06 |
% 23.42/6.06 | Equations (327) can reduce 39 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (237) ~ (all_0_1_1 = e0)
% 23.42/6.06 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 23.42/6.06 |
% 23.42/6.06 | Equations (741) can reduce 237 to:
% 23.42/6.06 | (39) ~ (e2 = e0)
% 23.42/6.06 |
% 23.42/6.06 +-Applying beta-rule and splitting (120), into two cases.
% 23.42/6.06 |-Branch one:
% 23.42/6.06 | (532) all_0_16_16 = e2
% 23.42/6.06 |
% 23.42/6.06 | Equations (532) can reduce 258 to:
% 23.42/6.06 | (221) ~ (e4 = e2)
% 23.42/6.06 |
% 23.42/6.06 | Simplifying 221 yields:
% 23.42/6.06 | (194) ~ (e4 = e2)
% 23.42/6.06 |
% 23.42/6.06 +-Applying beta-rule and splitting (363), into two cases.
% 23.42/6.06 |-Branch one:
% 23.42/6.06 | (252) all_0_14_14 = e4
% 23.42/6.06 |
% 23.42/6.06 | Combining equations (224,252) yields a new equation:
% 23.42/6.06 | (254) e4 = e2
% 23.42/6.06 |
% 23.42/6.06 | Equations (254) can reduce 194 to:
% 23.42/6.06 | (243) $false
% 23.42/6.06 |
% 23.42/6.06 |-The branch is then unsatisfiable
% 23.42/6.06 |-Branch two:
% 23.42/6.06 | (256) ~ (all_0_14_14 = e4)
% 23.42/6.07 | (391) all_0_15_15 = e4
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (482,391) yields a new equation:
% 23.42/6.07 | (494) e4 = e1
% 23.42/6.07 |
% 23.42/6.07 | Equations (494) can reduce 207 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (542) ~ (all_0_16_16 = e2)
% 23.42/6.07 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (671), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (1820) all_0_17_17 = e2
% 23.42/6.07 |
% 23.42/6.07 | Equations (1820) can reduce 315 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.07 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (1824), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (242) all_0_18_18 = e2
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (832,242) yields a new equation:
% 23.42/6.07 | (327) e2 = e0
% 23.42/6.07 |
% 23.42/6.07 | Equations (327) can reduce 39 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (231) ~ (all_0_18_18 = e2)
% 23.42/6.07 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (1837), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (1262) all_0_19_19 = e2
% 23.42/6.07 |
% 23.42/6.07 | Equations (1262) can reduce 220 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.07 | (784) all_0_20_20 = e2
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (784,792) yields a new equation:
% 23.42/6.07 | (254) e4 = e2
% 23.42/6.07 |
% 23.42/6.07 | Equations (254) can reduce 194 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (355) ~ (all_0_10_10 = e4)
% 23.42/6.07 | (1225) all_0_19_19 = e4
% 23.42/6.07 |
% 23.42/6.07 | Equations (1225) can reduce 261 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Applying alpha-rule on (801) yields:
% 23.42/6.07 | (797) all_0_0_0 = e0
% 23.42/6.07 | (792) all_0_20_20 = e4
% 23.42/6.07 | (276) ~ (all_0_16_16 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Equations (797) can reduce 85 to:
% 23.42/6.07 | (238) ~ (all_0_3_3 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 238 yields:
% 23.42/6.07 | (193) ~ (all_0_3_3 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Equations (797) can reduce 93 to:
% 23.42/6.07 | (4133) ~ (all_0_4_4 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 4133 yields:
% 23.42/6.07 | (344) ~ (all_0_4_4 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Equations (797) can reduce 536 to:
% 23.42/6.07 | (277) ~ (e2 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 277 yields:
% 23.42/6.07 | (39) ~ (e2 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Equations (792) can reduce 26 to:
% 23.42/6.07 | (392) ~ (all_0_4_4 = e4)
% 23.42/6.07 |
% 23.42/6.07 | Equations (792) can reduce 40 to:
% 23.42/6.07 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.07 |
% 23.42/6.07 | Equations (792) can reduce 81 to:
% 23.42/6.07 | (258) ~ (all_0_16_16 = e4)
% 23.42/6.07 |
% 23.42/6.07 | Equations (792) can reduce 158 to:
% 23.42/6.07 | (261) ~ (all_0_19_19 = e4)
% 23.42/6.07 |
% 23.42/6.07 | From (792) and (177) follows:
% 23.42/6.07 | (4292) op(e0, e0) = e4
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (150), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (360) all_0_12_12 = e4
% 23.42/6.07 |
% 23.42/6.07 | Equations (360) can reduce 174 to:
% 23.42/6.07 | (1227) ~ (all_0_8_8 = e4)
% 23.42/6.07 |
% 23.42/6.07 | Equations (360) can reduce 36 to:
% 23.42/6.07 | (3912) ~ (all_0_15_15 = e4)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 3912 yields:
% 23.42/6.07 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.07 |
% 23.42/6.07 | Equations (360) can reduce 226 to:
% 23.42/6.07 | (194) ~ (e4 = e2)
% 23.42/6.07 |
% 23.42/6.07 | From (360) and (103) follows:
% 23.42/6.07 | (566) op(e1, e4) = e4
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (49), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (353) all_0_8_8 = e4
% 23.42/6.07 |
% 23.42/6.07 | Equations (353) can reduce 1227 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (1227) ~ (all_0_8_8 = e4)
% 23.42/6.07 | (1228) all_0_10_10 = e4 | all_0_11_11 = e4
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (1228), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (377) all_0_10_10 = e4
% 23.42/6.07 |
% 23.42/6.07 | Equations (377) can reduce 38 to:
% 23.42/6.07 | (1227) ~ (all_0_8_8 = e4)
% 23.42/6.07 |
% 23.42/6.07 | Equations (377) can reduce 218 to:
% 23.42/6.07 | (194) ~ (e4 = e2)
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (176), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (322) all_0_1_1 = e0
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (322,741) yields a new equation:
% 23.42/6.07 | (327) e2 = e0
% 23.42/6.07 |
% 23.42/6.07 | Equations (327) can reduce 39 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (237) ~ (all_0_1_1 = e0)
% 23.42/6.07 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (325), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (326) all_0_9_9 = e0
% 23.42/6.07 |
% 23.42/6.07 | Equations (326) can reduce 3 to:
% 23.42/6.07 | (272) ~ (all_0_8_8 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Equations (326) can reduce 2398 to:
% 23.42/6.07 | (277) ~ (e2 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 277 yields:
% 23.42/6.07 | (39) ~ (e2 = e0)
% 23.42/6.07 |
% 23.42/6.07 | From (326) and (44) follows:
% 23.42/6.07 | (2653) op(e2, e3) = e0
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (198), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (727) all_0_8_8 = e2
% 23.42/6.07 |
% 23.42/6.07 | Equations (727) can reduce 309 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.07 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (1232), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (353) all_0_8_8 = e4
% 23.42/6.07 |
% 23.42/6.07 | Equations (353) can reduce 1227 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (1227) ~ (all_0_8_8 = e4)
% 23.42/6.07 | (2388) all_0_8_8 = e1 | all_0_8_8 = e0
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (2388), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (611) all_0_8_8 = e1
% 23.42/6.07 |
% 23.42/6.07 | Equations (611) can reduce 187 to:
% 23.42/6.07 | (906) ~ (all_0_16_16 = e1)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 906 yields:
% 23.42/6.07 | (525) ~ (all_0_16_16 = e1)
% 23.42/6.07 |
% 23.42/6.07 | Equations (611) can reduce 272 to:
% 23.42/6.07 | (109) ~ (e1 = e0)
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (154), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (532) all_0_16_16 = e2
% 23.42/6.07 |
% 23.42/6.07 | Equations (532) can reduce 525 to:
% 23.42/6.07 | (114) ~ (e2 = e1)
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (107), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (538) all_0_0_0 = e1
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (538,797) yields a new equation:
% 23.42/6.07 | (587) e1 = e0
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 587 yields:
% 23.42/6.07 | (561) e1 = e0
% 23.42/6.07 |
% 23.42/6.07 | Equations (561) can reduce 109 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (595) ~ (all_0_0_0 = e1)
% 23.42/6.07 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 23.42/6.07 |
% 23.42/6.07 | Equations (797) can reduce 595 to:
% 23.42/6.07 | (578) ~ (e1 = e0)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 578 yields:
% 23.42/6.07 | (109) ~ (e1 = e0)
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (156), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (535) all_0_4_4 = e2
% 23.42/6.07 |
% 23.42/6.07 | Equations (535) can reduce 625 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (625) ~ (all_0_4_4 = e2)
% 23.42/6.07 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (9), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (605) all_0_1_1 = e1
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (605,741) yields a new equation:
% 23.42/6.07 | (560) e2 = e1
% 23.42/6.07 |
% 23.42/6.07 | Equations (560) can reduce 114 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (608) ~ (all_0_1_1 = e1)
% 23.42/6.07 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (626), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (630) all_0_4_4 = e4
% 23.42/6.07 |
% 23.42/6.07 | Equations (630) can reduce 392 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (392) ~ (all_0_4_4 = e4)
% 23.42/6.07 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (633), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (634) all_0_4_4 = e1
% 23.42/6.07 |
% 23.42/6.07 | Equations (634) can reduce 464 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (464) ~ (all_0_4_4 = e1)
% 23.42/6.07 | (637) all_0_4_4 = e3 | all_0_4_4 = e0
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (1277), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (1290) all_0_9_9 = e1
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (326,1290) yields a new equation:
% 23.42/6.07 | (561) e1 = e0
% 23.42/6.07 |
% 23.42/6.07 | Equations (561) can reduce 109 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (460) ~ (all_0_9_9 = e1)
% 23.42/6.07 | (1295) all_0_13_13 = e1 | all_0_17_17 = e1
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (637), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (638) all_0_4_4 = e0
% 23.42/6.07 |
% 23.42/6.07 | Equations (638) can reduce 344 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (344) ~ (all_0_4_4 = e0)
% 23.42/6.07 | (641) all_0_4_4 = e3
% 23.42/6.07 |
% 23.42/6.07 | Equations (641) can reduce 86 to:
% 23.42/6.07 | (375) ~ (all_0_3_3 = e3)
% 23.42/6.07 |
% 23.42/6.07 | Equations (641) can reduce 78 to:
% 23.42/6.07 | (294) ~ (all_0_15_15 = e3)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 294 yields:
% 23.42/6.07 | (295) ~ (all_0_15_15 = e3)
% 23.42/6.07 |
% 23.42/6.07 | Equations (641) can reduce 625 to:
% 23.42/6.07 | (183) ~ (e3 = e2)
% 23.42/6.07 |
% 23.42/6.07 | From (641) and (181) follows:
% 23.42/6.07 | (6967) op(e4, e0) = e3
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (126), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (823) all_0_15_15 = e2
% 23.42/6.07 |
% 23.42/6.07 | Equations (823) can reduce 229 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (229) ~ (all_0_15_15 = e2)
% 23.42/6.07 | (4171) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (1295), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (429) all_0_13_13 = e1
% 23.42/6.07 |
% 23.42/6.07 | Equations (429) can reduce 458 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.07 | (1012) all_0_17_17 = e1
% 23.42/6.07 |
% 23.42/6.07 | Equations (1012) can reduce 22 to:
% 23.42/6.07 | (381) ~ (all_0_19_19 = e1)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 381 yields:
% 23.42/6.07 | (382) ~ (all_0_19_19 = e1)
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (4171), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (391) all_0_15_15 = e4
% 23.42/6.07 |
% 23.42/6.07 | Equations (391) can reduce 442 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.07 | (4209) all_0_15_15 = e3 | all_0_15_15 = e1
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (4209), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (482) all_0_15_15 = e1
% 23.42/6.07 |
% 23.42/6.07 | Equations (482) can reduce 442 to:
% 23.42/6.07 | (383) ~ (e4 = e1)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 383 yields:
% 23.42/6.07 | (207) ~ (e4 = e1)
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (140), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (372) all_0_3_3 = e3
% 23.42/6.07 |
% 23.42/6.07 | Equations (372) can reduce 375 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (375) ~ (all_0_3_3 = e3)
% 23.42/6.07 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (161), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (424) all_0_1_1 = e3
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (424,741) yields a new equation:
% 23.42/6.07 | (400) e3 = e2
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 400 yields:
% 23.42/6.07 | (287) e3 = e2
% 23.42/6.07 |
% 23.42/6.07 | Equations (287) can reduce 183 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (842) ~ (all_0_1_1 = e3)
% 23.42/6.07 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 23.42/6.07 |
% 23.42/6.07 | Equations (741) can reduce 842 to:
% 23.42/6.07 | (232) ~ (e3 = e2)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 232 yields:
% 23.42/6.07 | (183) ~ (e3 = e2)
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (104), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (695) all_0_3_3 = e1
% 23.42/6.07 |
% 23.42/6.07 | Equations (695) can reduce 135 to:
% 23.42/6.07 | (381) ~ (all_0_19_19 = e1)
% 23.42/6.07 |
% 23.42/6.07 | Simplifying 381 yields:
% 23.42/6.07 | (382) ~ (all_0_19_19 = e1)
% 23.42/6.07 |
% 23.42/6.07 | Equations (695) can reduce 193 to:
% 23.42/6.07 | (109) ~ (e1 = e0)
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (376), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (286) all_0_6_6 = e3
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (212,286) yields a new equation:
% 23.42/6.07 | (287) e3 = e2
% 23.42/6.07 |
% 23.42/6.07 | Equations (287) can reduce 183 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (289) ~ (all_0_6_6 = e3)
% 23.42/6.07 | (404) all_0_19_19 = e3
% 23.42/6.07 |
% 23.42/6.07 | Equations (404) can reduce 382 to:
% 23.42/6.07 | (111) ~ (e3 = e1)
% 23.42/6.07 |
% 23.42/6.07 | From (404) and (168) follows:
% 23.42/6.07 | (412) op(e0, e1) = e3
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (843), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (868) all_0_13_13 = e3
% 23.42/6.07 |
% 23.42/6.07 | From (868) and (51) follows:
% 23.42/6.07 | (567) op(e1, e3) = e3
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (46), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (548) unit = e2
% 23.42/6.07 |
% 23.42/6.07 | From (548) and (121) follows:
% 23.42/6.07 | (2816) op(e2, e3) = e3
% 23.42/6.07 |
% 23.42/6.07 | From (548) and (102) follows:
% 23.42/6.07 | (3465) op(e3, e2) = e3
% 23.42/6.07 |
% 23.42/6.07 | From (548) and (139) follows:
% 23.42/6.07 | (2817) op(e2, e2) = e2
% 23.42/6.07 |
% 23.42/6.07 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 23.42/6.07 | (420) e3 = e1
% 23.42/6.07 |
% 23.42/6.07 | Instantiating formula (105) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields:
% 23.42/6.07 | (282) e3 = e0
% 23.42/6.07 |
% 23.42/6.07 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 23.42/6.07 | (287) e3 = e2
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (420,287) yields a new equation:
% 23.42/6.07 | (560) e2 = e1
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (282,287) yields a new equation:
% 23.42/6.07 | (327) e2 = e0
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (327,560) yields a new equation:
% 23.42/6.07 | (561) e1 = e0
% 23.42/6.07 |
% 23.42/6.07 | Equations (561) can reduce 109 to:
% 23.42/6.07 | (243) $false
% 23.42/6.07 |
% 23.42/6.07 |-The branch is then unsatisfiable
% 23.42/6.07 |-Branch two:
% 23.42/6.07 | (547) ~ (unit = e2)
% 23.42/6.07 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 23.42/6.07 |
% 23.42/6.07 +-Applying beta-rule and splitting (551), into two cases.
% 23.42/6.07 |-Branch one:
% 23.42/6.07 | (552) unit = e4
% 23.42/6.07 |
% 23.42/6.07 | From (552) and (121) follows:
% 23.42/6.07 | (1035) op(e4, e3) = e3
% 23.42/6.07 |
% 23.42/6.07 | From (552) and (184) follows:
% 23.42/6.07 | (4339) op(e4, e2) = e2
% 23.42/6.07 |
% 23.42/6.07 | From (552) and (77) follows:
% 23.42/6.07 | (7026) op(e4, e0) = e0
% 23.42/6.07 |
% 23.42/6.07 | From (552) and (172) follows:
% 23.42/6.07 | (2832) op(e1, e4) = e1
% 23.42/6.07 |
% 23.42/6.07 | Instantiating formula (105) with e4, e3, e3, e2 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e2, yields:
% 23.42/6.07 | (287) e3 = e2
% 23.42/6.07 |
% 23.42/6.07 | Instantiating formula (105) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields:
% 23.42/6.07 | (254) e4 = e2
% 23.42/6.07 |
% 23.42/6.07 | Instantiating formula (105) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields:
% 23.42/6.07 | (282) e3 = e0
% 23.42/6.07 |
% 23.42/6.07 | Instantiating formula (105) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 23.42/6.07 | (494) e4 = e1
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (494,254) yields a new equation:
% 23.42/6.07 | (560) e2 = e1
% 23.42/6.07 |
% 23.42/6.07 | Combining equations (282,287) yields a new equation:
% 23.42/6.07 | (327) e2 = e0
% 23.42/6.07 |
% 23.42/6.08 | Combining equations (327,560) yields a new equation:
% 23.42/6.08 | (561) e1 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (561) can reduce 109 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (438) ~ (unit = e4)
% 23.42/6.08 | (564) unit = e3 | unit = e1 | unit = e0
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (564), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (565) unit = e1
% 23.42/6.08 |
% 23.42/6.08 | Equations (565) can reduce 463 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (463) ~ (unit = e1)
% 23.42/6.08 | (576) unit = e3 | unit = e0
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (576), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (577) unit = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (577) can reduce 463 to:
% 23.42/6.08 | (578) ~ (e1 = e0)
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 578 yields:
% 23.42/6.08 | (109) ~ (e1 = e0)
% 23.42/6.08 |
% 23.42/6.08 | From (577) and (100) follows:
% 23.42/6.08 | (2851) op(e0, e1) = e1
% 23.42/6.08 |
% 23.42/6.08 | From (577) and (95) follows:
% 23.42/6.08 | (7046) op(e4, e0) = e4
% 23.42/6.08 |
% 23.42/6.08 | From (577) and (175) follows:
% 23.42/6.08 | (4359) op(e0, e0) = e0
% 23.42/6.08 |
% 23.42/6.08 | Instantiating formula (105) with e4, e0, e4, e3 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e3, yields:
% 23.42/6.08 | (373) e4 = e3
% 23.42/6.08 |
% 23.42/6.08 | Instantiating formula (105) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 23.42/6.08 | (420) e3 = e1
% 23.42/6.08 |
% 23.42/6.08 | Instantiating formula (105) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields:
% 23.42/6.08 | (248) e4 = e0
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (373,248) yields a new equation:
% 23.42/6.08 | (281) e3 = e0
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 281 yields:
% 23.42/6.08 | (282) e3 = e0
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (420,282) yields a new equation:
% 23.42/6.08 | (587) e1 = e0
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 587 yields:
% 23.42/6.08 | (561) e1 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (561) can reduce 109 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (489) ~ (unit = e0)
% 23.42/6.08 | (591) unit = e3
% 23.42/6.08 |
% 23.42/6.08 | From (591) and (95) follows:
% 23.42/6.08 | (2858) op(e4, e3) = e4
% 23.42/6.08 |
% 23.42/6.08 | From (591) and (102) follows:
% 23.42/6.08 | (1080) op(e3, e3) = e3
% 23.42/6.08 |
% 23.42/6.08 | From (591) and (139) follows:
% 23.42/6.08 | (7060) op(e2, e3) = e2
% 23.42/6.08 |
% 23.42/6.08 | From (591) and (172) follows:
% 23.42/6.08 | (432) op(e1, e3) = e1
% 23.42/6.08 |
% 23.42/6.08 | Instantiating formula (105) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 23.42/6.08 | (254) e4 = e2
% 23.42/6.08 |
% 23.42/6.08 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 23.42/6.08 | (373) e4 = e3
% 23.42/6.08 |
% 23.42/6.08 | Instantiating formula (105) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 23.42/6.08 | (327) e2 = e0
% 23.42/6.08 |
% 23.42/6.08 | Instantiating formula (105) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 23.42/6.08 | (420) e3 = e1
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (254,373) yields a new equation:
% 23.42/6.08 | (287) e3 = e2
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (287,420) yields a new equation:
% 23.42/6.08 | (559) e2 = e1
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 559 yields:
% 23.42/6.08 | (560) e2 = e1
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (327,560) yields a new equation:
% 23.42/6.08 | (561) e1 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (561) can reduce 109 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (416) ~ (all_0_13_13 = e3)
% 23.42/6.08 | (1181) all_0_17_17 = e3
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (1012,1181) yields a new equation:
% 23.42/6.08 | (420) e3 = e1
% 23.42/6.08 |
% 23.42/6.08 | Equations (420) can reduce 111 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (698) ~ (all_0_3_3 = e1)
% 23.42/6.08 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (454), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (1015) ~ (all_0_17_17 = e1)
% 23.42/6.08 |
% 23.42/6.08 | Equations (1012) can reduce 1015 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (1012) all_0_17_17 = e1
% 23.42/6.08 | (404) all_0_19_19 = e3
% 23.42/6.08 |
% 23.42/6.08 | Equations (404) can reduce 382 to:
% 23.42/6.08 | (111) ~ (e3 = e1)
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (2066), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (380) all_0_10_10 = e1
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (377,380) yields a new equation:
% 23.42/6.08 | (493) e4 = e1
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 493 yields:
% 23.42/6.08 | (494) e4 = e1
% 23.42/6.08 |
% 23.42/6.08 | Equations (494) can reduce 207 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (2075) ~ (all_0_10_10 = e1)
% 23.42/6.08 | (1017) all_0_19_19 = e1
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (404,1017) yields a new equation:
% 23.42/6.08 | (419) e3 = e1
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 419 yields:
% 23.42/6.08 | (420) e3 = e1
% 23.42/6.08 |
% 23.42/6.08 | Equations (420) can reduce 111 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (1154) ~ (all_0_15_15 = e1)
% 23.42/6.08 | (1216) all_0_15_15 = e3
% 23.42/6.08 |
% 23.42/6.08 | Equations (1216) can reduce 295 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (542) ~ (all_0_16_16 = e2)
% 23.42/6.08 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (120), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (532) all_0_16_16 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (532) can reduce 542 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (542) ~ (all_0_16_16 = e2)
% 23.42/6.08 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (671), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (1820) all_0_17_17 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (1820) can reduce 315 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.08 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (136), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (672) all_0_0_0 = e2
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (672,797) yields a new equation:
% 23.42/6.08 | (339) e2 = e0
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 339 yields:
% 23.42/6.08 | (327) e2 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (327) can reduce 39 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (536) ~ (all_0_0_0 = e2)
% 23.42/6.08 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (797) can reduce 536 to:
% 23.42/6.08 | (277) ~ (e2 = e0)
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 277 yields:
% 23.42/6.08 | (39) ~ (e2 = e0)
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (1824), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (242) all_0_18_18 = e2
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (832,242) yields a new equation:
% 23.42/6.08 | (327) e2 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (327) can reduce 39 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (231) ~ (all_0_18_18 = e2)
% 23.42/6.08 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (1837), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (1262) all_0_19_19 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (1262) can reduce 220 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.08 | (784) all_0_20_20 = e2
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (784,792) yields a new equation:
% 23.42/6.08 | (254) e4 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (254) can reduce 194 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (614) ~ (all_0_8_8 = e1)
% 23.42/6.08 | (318) all_0_8_8 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (318) can reduce 272 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.08 | (330) all_0_17_17 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (330) can reduce 2482 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (355) ~ (all_0_10_10 = e4)
% 23.42/6.08 | (2395) all_0_11_11 = e4
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (818,2395) yields a new equation:
% 23.42/6.08 | (254) e4 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (254) can reduce 194 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (357) ~ (all_0_12_12 = e4)
% 23.42/6.08 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (115), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (364) all_0_3_3 = e4
% 23.42/6.08 |
% 23.42/6.08 | Equations (364) can reduce 1220 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (1220) ~ (all_0_3_3 = e4)
% 23.42/6.08 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (1221), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (377) all_0_10_10 = e4
% 23.42/6.08 |
% 23.42/6.08 | Equations (377) can reduce 218 to:
% 23.42/6.08 | (194) ~ (e4 = e2)
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (91), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (418) all_0_12_12 = e1
% 23.42/6.08 |
% 23.42/6.08 | Equations (418) can reduce 422 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (422) ~ (all_0_12_12 = e1)
% 23.42/6.08 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (423), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (429) all_0_13_13 = e1
% 23.42/6.08 |
% 23.42/6.08 | Equations (429) can reduce 458 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.08 | (482) all_0_15_15 = e1
% 23.42/6.08 |
% 23.42/6.08 | Equations (482) can reduce 442 to:
% 23.42/6.08 | (383) ~ (e4 = e1)
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 383 yields:
% 23.42/6.08 | (207) ~ (e4 = e1)
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (176), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (322) all_0_1_1 = e0
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (322,741) yields a new equation:
% 23.42/6.08 | (327) e2 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (327) can reduce 39 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (237) ~ (all_0_1_1 = e0)
% 23.42/6.08 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (741) can reduce 237 to:
% 23.42/6.08 | (39) ~ (e2 = e0)
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (120), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (532) all_0_16_16 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (532) can reduce 258 to:
% 23.42/6.08 | (221) ~ (e4 = e2)
% 23.42/6.08 |
% 23.42/6.08 | Simplifying 221 yields:
% 23.42/6.08 | (194) ~ (e4 = e2)
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (363), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (252) all_0_14_14 = e4
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (224,252) yields a new equation:
% 23.42/6.08 | (254) e4 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (254) can reduce 194 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (256) ~ (all_0_14_14 = e4)
% 23.42/6.08 | (391) all_0_15_15 = e4
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (482,391) yields a new equation:
% 23.42/6.08 | (494) e4 = e1
% 23.42/6.08 |
% 23.42/6.08 | Equations (494) can reduce 207 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (542) ~ (all_0_16_16 = e2)
% 23.42/6.08 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (671), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (1820) all_0_17_17 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (1820) can reduce 315 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.08 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (1824), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (242) all_0_18_18 = e2
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (832,242) yields a new equation:
% 23.42/6.08 | (327) e2 = e0
% 23.42/6.08 |
% 23.42/6.08 | Equations (327) can reduce 39 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (231) ~ (all_0_18_18 = e2)
% 23.42/6.08 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (1837), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (1262) all_0_19_19 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (1262) can reduce 220 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.08 | (784) all_0_20_20 = e2
% 23.42/6.08 |
% 23.42/6.08 | Combining equations (784,792) yields a new equation:
% 23.42/6.08 | (254) e4 = e2
% 23.42/6.08 |
% 23.42/6.08 | Equations (254) can reduce 194 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (355) ~ (all_0_10_10 = e4)
% 23.42/6.08 | (1225) all_0_19_19 = e4
% 23.42/6.08 |
% 23.42/6.08 | Equations (1225) can reduce 261 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.42/6.08 |
% 23.42/6.08 | Applying alpha-rule on (467) yields:
% 23.42/6.08 | (468) ~ (all_0_7_7 = e3)
% 23.42/6.08 | (405) ~ (all_0_16_16 = e3)
% 23.42/6.08 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.42/6.08 | (295) ~ (all_0_15_15 = e3)
% 23.42/6.08 | (472) ~ (all_0_12_12 = e3)
% 23.42/6.08 | (289) ~ (all_0_6_6 = e3)
% 23.42/6.08 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.42/6.08 | (475) ~ (unit = e3)
% 23.42/6.08 | (307) all_0_9_9 = e2
% 23.42/6.08 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.42/6.08 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.42/6.08 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.08 |
% 23.42/6.08 | Equations (307) can reduce 2398 to:
% 23.42/6.08 | (243) $false
% 23.42/6.08 |
% 23.42/6.08 |-The branch is then unsatisfiable
% 23.42/6.08 |-Branch two:
% 23.42/6.08 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.42/6.08 |
% 23.42/6.08 | Applying alpha-rule on (481) yields:
% 23.42/6.08 | (482) all_0_15_15 = e1
% 23.42/6.08 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.42/6.08 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.42/6.08 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.08 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.42/6.08 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.42/6.08 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.42/6.08 | (489) ~ (unit = e0)
% 23.42/6.08 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.42/6.08 | (491) ~ (all_0_5_5 = e0)
% 23.42/6.08 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.42/6.08 |
% 23.42/6.08 +-Applying beta-rule and splitting (492), into two cases.
% 23.42/6.08 |-Branch one:
% 23.42/6.08 | (2539) ~ (all_0_18_18 = e0)
% 23.42/6.08 |
% 23.42/6.08 | Equations (832) can reduce 2539 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (832) all_0_18_18 = e0
% 23.42/6.09 | (784) all_0_20_20 = e2
% 23.42/6.09 |
% 23.42/6.09 | Equations (784) can reduce 522 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.42/6.09 |
% 23.42/6.09 | Applying alpha-rule on (496) yields:
% 23.42/6.09 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.09 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.42/6.09 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.42/6.09 | (214) ~ (all_0_5_5 = e2)
% 23.42/6.09 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.42/6.09 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.42/6.09 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.42/6.09 | (213) ~ (all_0_3_3 = e2)
% 23.42/6.09 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.42/6.09 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.42/6.09 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.42/6.09 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.42/6.09 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.42/6.09 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.09 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.09 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.09 | (216) ~ (all_0_7_7 = e2)
% 23.42/6.09 | (218) ~ (all_0_10_10 = e2)
% 23.42/6.09 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.09 | (229) ~ (all_0_15_15 = e2)
% 23.42/6.09 | (313) ~ (all_0_11_11 = e2)
% 23.42/6.09 |
% 23.42/6.09 | Equations (818) can reduce 313 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.09 | (2925) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (83), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (672) all_0_0_0 = e2
% 23.42/6.09 |
% 23.42/6.09 | Equations (672) can reduce 178 to:
% 23.42/6.09 | (7554) ~ (all_0_1_1 = e2)
% 23.42/6.09 |
% 23.42/6.09 | Simplifying 7554 yields:
% 23.42/6.09 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.09 |
% 23.42/6.09 | Equations (672) can reduce 1663 to:
% 23.42/6.09 | (221) ~ (e4 = e2)
% 23.42/6.09 |
% 23.42/6.09 | Simplifying 221 yields:
% 23.42/6.09 | (194) ~ (e4 = e2)
% 23.42/6.09 |
% 23.42/6.09 | Equations (672) can reduce 414 to:
% 23.42/6.09 | (232) ~ (e3 = e2)
% 23.42/6.09 |
% 23.42/6.09 | Simplifying 232 yields:
% 23.42/6.09 | (183) ~ (e3 = e2)
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (112), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (797) all_0_0_0 = e0
% 23.42/6.09 |
% 23.42/6.09 | Combining equations (797,672) yields a new equation:
% 23.42/6.09 | (327) e2 = e0
% 23.42/6.09 |
% 23.42/6.09 | Equations (327) can reduce 39 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (268) ~ (all_0_0_0 = e0)
% 23.42/6.09 | (6782) all_0_5_5 = e0 | all_0_8_8 = e0 | all_0_16_16 = e0
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (6782), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (267) all_0_5_5 = e0
% 23.42/6.09 |
% 23.42/6.09 | Combining equations (280,267) yields a new equation:
% 23.42/6.09 | (281) e3 = e0
% 23.42/6.09 |
% 23.42/6.09 | Simplifying 281 yields:
% 23.42/6.09 | (282) e3 = e0
% 23.42/6.09 |
% 23.42/6.09 | Equations (282) can reduce 54 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (491) ~ (all_0_5_5 = e0)
% 23.42/6.09 | (6787) all_0_8_8 = e0 | all_0_16_16 = e0
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (6787), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (318) all_0_8_8 = e0
% 23.42/6.09 |
% 23.42/6.09 | Equations (318) can reduce 3 to:
% 23.42/6.09 | (7572) ~ (all_0_9_9 = e0)
% 23.42/6.09 |
% 23.42/6.09 | Simplifying 7572 yields:
% 23.42/6.09 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (49), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (353) all_0_8_8 = e4
% 23.42/6.09 |
% 23.42/6.09 | Combining equations (318,353) yields a new equation:
% 23.42/6.09 | (248) e4 = e0
% 23.42/6.09 |
% 23.42/6.09 | Equations (248) can reduce 4 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (1227) ~ (all_0_8_8 = e4)
% 23.42/6.09 | (1228) all_0_10_10 = e4 | all_0_11_11 = e4
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (1228), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (377) all_0_10_10 = e4
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (176), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (322) all_0_1_1 = e0
% 23.42/6.09 |
% 23.42/6.09 | Equations (322) can reduce 110 to:
% 23.42/6.09 | (7572) ~ (all_0_9_9 = e0)
% 23.42/6.09 |
% 23.42/6.09 | Simplifying 7572 yields:
% 23.42/6.09 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.09 |
% 23.42/6.09 | Equations (322) can reduce 308 to:
% 23.42/6.09 | (277) ~ (e2 = e0)
% 23.42/6.09 |
% 23.42/6.09 | Simplifying 277 yields:
% 23.42/6.09 | (39) ~ (e2 = e0)
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (72), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (433), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (434), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (435), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.42/6.09 |
% 23.42/6.09 | Applying alpha-rule on (436) yields:
% 23.42/6.09 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.42/6.09 | (438) ~ (unit = e4)
% 23.42/6.09 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.42/6.09 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.42/6.09 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.42/6.09 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.09 | (280) all_0_5_5 = e3
% 23.42/6.09 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.42/6.09 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.42/6.09 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.42/6.09 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.42/6.09 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (18), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (523) all_0_20_20 = e1
% 23.42/6.09 |
% 23.42/6.09 | Equations (523) can reduce 349 to:
% 23.42/6.09 | (109) ~ (e1 = e0)
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (445), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (355) ~ (all_0_10_10 = e4)
% 23.42/6.09 |
% 23.42/6.09 | Equations (377) can reduce 355 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (377) all_0_10_10 = e4
% 23.42/6.09 | (611) all_0_8_8 = e1
% 23.42/6.09 |
% 23.42/6.09 | Combining equations (318,611) yields a new equation:
% 23.42/6.09 | (561) e1 = e0
% 23.42/6.09 |
% 23.42/6.09 | Equations (561) can reduce 109 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (461) ~ (all_0_20_20 = e1)
% 23.42/6.09 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (780), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (788) all_0_0_0 = e3
% 23.42/6.09 |
% 23.42/6.09 | Combining equations (788,672) yields a new equation:
% 23.42/6.09 | (400) e3 = e2
% 23.42/6.09 |
% 23.42/6.09 | Simplifying 400 yields:
% 23.42/6.09 | (287) e3 = e2
% 23.42/6.09 |
% 23.42/6.09 | Equations (287) can reduce 183 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.09 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (791), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.42/6.09 |
% 23.42/6.09 | Applying alpha-rule on (796) yields:
% 23.42/6.09 | (797) all_0_0_0 = e0
% 23.42/6.09 | (792) all_0_20_20 = e4
% 23.42/6.09 | (392) ~ (all_0_4_4 = e4)
% 23.42/6.09 |
% 23.42/6.09 | Combining equations (797,672) yields a new equation:
% 23.42/6.09 | (327) e2 = e0
% 23.42/6.09 |
% 23.42/6.09 | Equations (327) can reduce 39 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.42/6.09 |
% 23.42/6.09 | Applying alpha-rule on (801) yields:
% 23.42/6.09 | (797) all_0_0_0 = e0
% 23.42/6.09 | (792) all_0_20_20 = e4
% 23.42/6.09 | (276) ~ (all_0_16_16 = e0)
% 23.42/6.09 |
% 23.42/6.09 | Combining equations (797,672) yields a new equation:
% 23.42/6.09 | (327) e2 = e0
% 23.42/6.09 |
% 23.42/6.09 | Equations (327) can reduce 39 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.42/6.09 |
% 23.42/6.09 | Applying alpha-rule on (452) yields:
% 23.42/6.09 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.42/6.09 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.42/6.09 | (422) ~ (all_0_12_12 = e1)
% 23.42/6.09 | (212) all_0_6_6 = e2
% 23.42/6.09 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.42/6.09 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.09 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.42/6.09 | (460) ~ (all_0_9_9 = e1)
% 23.42/6.09 | (461) ~ (all_0_20_20 = e1)
% 23.42/6.09 | (462) ~ (all_0_11_11 = e1)
% 23.42/6.09 | (463) ~ (unit = e1)
% 23.42/6.09 | (464) ~ (all_0_4_4 = e1)
% 23.42/6.09 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (2399), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (1290) all_0_9_9 = e1
% 23.42/6.09 |
% 23.42/6.09 | Equations (1290) can reduce 460 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (460) ~ (all_0_9_9 = e1)
% 23.42/6.09 | (326) all_0_9_9 = e0
% 23.42/6.09 |
% 23.42/6.09 | Equations (326) can reduce 329 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.42/6.09 |
% 23.42/6.09 | Applying alpha-rule on (467) yields:
% 23.42/6.09 | (468) ~ (all_0_7_7 = e3)
% 23.42/6.09 | (405) ~ (all_0_16_16 = e3)
% 23.42/6.09 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.42/6.09 | (295) ~ (all_0_15_15 = e3)
% 23.42/6.09 | (472) ~ (all_0_12_12 = e3)
% 23.42/6.09 | (289) ~ (all_0_6_6 = e3)
% 23.42/6.09 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.42/6.09 | (475) ~ (unit = e3)
% 23.42/6.09 | (307) all_0_9_9 = e2
% 23.42/6.09 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.42/6.09 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.42/6.09 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.09 |
% 23.42/6.09 | Equations (307) can reduce 2398 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.42/6.09 |
% 23.42/6.09 | Applying alpha-rule on (481) yields:
% 23.42/6.09 | (482) all_0_15_15 = e1
% 23.42/6.09 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.42/6.09 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.42/6.09 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.09 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.42/6.09 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.42/6.09 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.42/6.09 | (489) ~ (unit = e0)
% 23.42/6.09 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.42/6.09 | (491) ~ (all_0_5_5 = e0)
% 23.42/6.09 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.42/6.09 |
% 23.42/6.09 +-Applying beta-rule and splitting (492), into two cases.
% 23.42/6.09 |-Branch one:
% 23.42/6.09 | (2539) ~ (all_0_18_18 = e0)
% 23.42/6.09 |
% 23.42/6.09 | Equations (832) can reduce 2539 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (832) all_0_18_18 = e0
% 23.42/6.09 | (784) all_0_20_20 = e2
% 23.42/6.09 |
% 23.42/6.09 | Equations (784) can reduce 522 to:
% 23.42/6.09 | (243) $false
% 23.42/6.09 |
% 23.42/6.09 |-The branch is then unsatisfiable
% 23.42/6.09 |-Branch two:
% 23.42/6.09 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.42/6.09 |
% 23.42/6.09 | Applying alpha-rule on (496) yields:
% 23.42/6.09 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.10 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.42/6.10 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.42/6.10 | (214) ~ (all_0_5_5 = e2)
% 23.42/6.10 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.42/6.10 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.42/6.10 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.42/6.10 | (213) ~ (all_0_3_3 = e2)
% 23.42/6.10 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.42/6.10 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.42/6.10 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.42/6.10 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.42/6.10 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.42/6.10 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.10 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.10 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.10 | (216) ~ (all_0_7_7 = e2)
% 23.42/6.10 | (218) ~ (all_0_10_10 = e2)
% 23.42/6.10 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.10 | (229) ~ (all_0_15_15 = e2)
% 23.42/6.10 | (313) ~ (all_0_11_11 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (818) can reduce 313 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (237) ~ (all_0_1_1 = e0)
% 23.42/6.10 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (325), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (326) all_0_9_9 = e0
% 23.42/6.10 |
% 23.42/6.10 | Equations (326) can reduce 329 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.10 | (330) all_0_17_17 = e0
% 23.42/6.10 |
% 23.42/6.10 | Equations (330) can reduce 2482 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (355) ~ (all_0_10_10 = e4)
% 23.42/6.10 | (2395) all_0_11_11 = e4
% 23.42/6.10 |
% 23.42/6.10 | Combining equations (2395,818) yields a new equation:
% 23.42/6.10 | (253) e4 = e2
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 253 yields:
% 23.42/6.10 | (254) e4 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (254) can reduce 194 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (272) ~ (all_0_8_8 = e0)
% 23.42/6.10 | (1902) all_0_16_16 = e0
% 23.42/6.10 |
% 23.42/6.10 | Equations (1902) can reduce 276 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (536) ~ (all_0_0_0 = e2)
% 23.42/6.10 | (711) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (711), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (741) all_0_1_1 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (741) can reduce 308 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.10 | (745) all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (745), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (750) all_0_2_2 = e2
% 23.42/6.10 |
% 23.42/6.10 | Combining equations (750,246) yields a new equation:
% 23.42/6.10 | (254) e4 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (254) can reduce 194 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (225) ~ (all_0_2_2 = e2)
% 23.42/6.10 | (754) all_0_3_3 = e2 | all_0_4_4 = e2
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (754), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (755) all_0_3_3 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (755) can reduce 213 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (213) ~ (all_0_3_3 = e2)
% 23.42/6.10 | (535) all_0_4_4 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (535) can reduce 625 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (250) ~ (all_0_2_2 = e4)
% 23.42/6.10 | (236) all_0_2_2 = e0
% 23.42/6.10 |
% 23.42/6.10 | Equations (236) can reduce 4061 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (7736) ~ (all_0_14_14 = e2)
% 23.42/6.10 | (252) all_0_14_14 = e4
% 23.42/6.10 |
% 23.42/6.10 | Equations (252) can reduce 203 to:
% 23.42/6.10 | (250) ~ (all_0_2_2 = e4)
% 23.42/6.10 |
% 23.42/6.10 | Equations (252) can reduce 195 to:
% 23.42/6.10 | (357) ~ (all_0_12_12 = e4)
% 23.42/6.10 |
% 23.42/6.10 | Equations (252) can reduce 90 to:
% 23.42/6.10 | (97) ~ (all_0_13_13 = e4)
% 23.42/6.10 |
% 23.42/6.10 | Equations (252) can reduce 180 to:
% 23.42/6.10 | (3912) ~ (all_0_15_15 = e4)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 3912 yields:
% 23.42/6.10 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.10 |
% 23.42/6.10 | Equations (252) can reduce 196 to:
% 23.42/6.10 | (7743) ~ (all_0_18_18 = e4)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 7743 yields:
% 23.42/6.10 | (3165) ~ (all_0_18_18 = e4)
% 23.42/6.10 |
% 23.42/6.10 | Equations (252) can reduce 7736 to:
% 23.42/6.10 | (194) ~ (e4 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (252) can reduce 68 to:
% 23.42/6.10 | (207) ~ (e4 = e1)
% 23.42/6.10 |
% 23.42/6.10 | From (252) and (13) follows:
% 23.42/6.10 | (7747) op(e1, e2) = e4
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (166), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (750) all_0_2_2 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (750) can reduce 173 to:
% 23.42/6.10 | (536) ~ (all_0_0_0 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (750) can reduce 192 to:
% 23.42/6.10 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (750) can reduce 190 to:
% 23.42/6.10 | (3194) ~ (all_0_3_3 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 3194 yields:
% 23.42/6.10 | (213) ~ (all_0_3_3 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (750) can reduce 149 to:
% 23.42/6.10 | (1538) ~ (all_0_4_4 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 1538 yields:
% 23.42/6.10 | (625) ~ (all_0_4_4 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (750) can reduce 20 to:
% 23.42/6.10 | (230) ~ (all_0_18_18 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 230 yields:
% 23.42/6.10 | (231) ~ (all_0_18_18 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (750) can reduce 250 to:
% 23.42/6.10 | (221) ~ (e4 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 221 yields:
% 23.42/6.10 | (194) ~ (e4 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (750) can reduce 157 to:
% 23.42/6.10 | (232) ~ (e3 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 232 yields:
% 23.42/6.10 | (183) ~ (e3 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (750) can reduce 84 to:
% 23.42/6.10 | (114) ~ (e2 = e1)
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (106), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (242) all_0_18_18 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (242) can reduce 231 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (231) ~ (all_0_18_18 = e2)
% 23.42/6.10 | (245) all_0_18_18 = e4 | all_0_18_18 = e0
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (245), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (257) all_0_18_18 = e4
% 23.42/6.10 |
% 23.42/6.10 | Equations (257) can reduce 3165 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (3165) ~ (all_0_18_18 = e4)
% 23.42/6.10 | (832) all_0_18_18 = e0
% 23.42/6.10 |
% 23.42/6.10 | Equations (832) can reduce 67 to:
% 23.42/6.10 | (276) ~ (all_0_16_16 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Equations (832) can reduce 162 to:
% 23.42/6.10 | (2482) ~ (all_0_17_17 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Equations (832) can reduce 119 to:
% 23.42/6.10 | (240) ~ (e3 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 240 yields:
% 23.42/6.10 | (54) ~ (e3 = e0)
% 23.42/6.10 |
% 23.42/6.10 | From (832) and (113) follows:
% 23.42/6.10 | (7774) op(e0, e2) = e0
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (130), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (267) all_0_5_5 = e0
% 23.42/6.10 |
% 23.42/6.10 | Equations (267) can reduce 15 to:
% 23.42/6.10 | (268) ~ (all_0_0_0 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Equations (267) can reduce 152 to:
% 23.42/6.10 | (269) ~ (all_0_7_7 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 269 yields:
% 23.42/6.10 | (270) ~ (all_0_7_7 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Equations (267) can reduce 125 to:
% 23.42/6.10 | (271) ~ (all_0_8_8 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 271 yields:
% 23.42/6.10 | (272) ~ (all_0_8_8 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Equations (267) can reduce 92 to:
% 23.42/6.10 | (273) ~ (all_0_12_12 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 273 yields:
% 23.42/6.10 | (210) ~ (all_0_12_12 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Equations (267) can reduce 214 to:
% 23.42/6.10 | (277) ~ (e2 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 277 yields:
% 23.42/6.10 | (39) ~ (e2 = e0)
% 23.42/6.10 |
% 23.42/6.10 | From (267) and (61) follows:
% 23.42/6.10 | (279) op(e3, e4) = e0
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (134), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (280) all_0_5_5 = e3
% 23.42/6.10 |
% 23.42/6.10 | Combining equations (280,267) yields a new equation:
% 23.42/6.10 | (281) e3 = e0
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 281 yields:
% 23.42/6.10 | (282) e3 = e0
% 23.42/6.10 |
% 23.42/6.10 | Equations (282) can reduce 54 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (284) ~ (all_0_5_5 = e3)
% 23.42/6.10 | (285) all_0_6_6 = e3 | all_0_7_7 = e3
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (285), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (286) all_0_6_6 = e3
% 23.42/6.10 |
% 23.42/6.10 | Combining equations (212,286) yields a new equation:
% 23.42/6.10 | (287) e3 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (287) can reduce 183 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (289) ~ (all_0_6_6 = e3)
% 23.42/6.10 | (290) all_0_7_7 = e3
% 23.42/6.10 |
% 23.42/6.10 | Equations (290) can reduce 131 to:
% 23.42/6.10 | (292) ~ (all_0_11_11 = e3)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 292 yields:
% 23.42/6.10 | (30) ~ (all_0_11_11 = e3)
% 23.42/6.10 |
% 23.42/6.10 | Equations (290) can reduce 6 to:
% 23.42/6.10 | (294) ~ (all_0_15_15 = e3)
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 294 yields:
% 23.42/6.10 | (295) ~ (all_0_15_15 = e3)
% 23.42/6.10 |
% 23.42/6.10 | Equations (290) can reduce 216 to:
% 23.42/6.10 | (183) ~ (e3 = e2)
% 23.42/6.10 |
% 23.42/6.10 | Equations (290) can reduce 270 to:
% 23.42/6.10 | (54) ~ (e3 = e0)
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (108), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (303) all_0_10_10 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (303) can reduce 218 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (218) ~ (all_0_10_10 = e2)
% 23.42/6.10 | (306) all_0_10_10 = e4 | all_0_10_10 = e1
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (171), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (299) all_0_13_13 = e2
% 23.42/6.10 |
% 23.42/6.10 | Equations (299) can reduce 137 to:
% 23.42/6.10 | (2398) ~ (all_0_9_9 = e2)
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (129), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (413) all_0_12_12 = e3
% 23.42/6.10 |
% 23.42/6.10 | Equations (413) can reduce 80 to:
% 23.42/6.10 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.10 |
% 23.42/6.10 | Equations (413) can reduce 210 to:
% 23.42/6.10 | (54) ~ (e3 = e0)
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (72), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (433), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (434), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.42/6.10 |
% 23.42/6.10 +-Applying beta-rule and splitting (435), into two cases.
% 23.42/6.10 |-Branch one:
% 23.42/6.10 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.42/6.10 |
% 23.42/6.10 | Applying alpha-rule on (436) yields:
% 23.42/6.10 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.42/6.10 | (438) ~ (unit = e4)
% 23.42/6.10 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.42/6.10 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.42/6.10 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.42/6.10 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.10 | (280) all_0_5_5 = e3
% 23.42/6.10 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.42/6.10 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.42/6.10 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.42/6.10 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.42/6.10 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.42/6.10 |
% 23.42/6.10 | Combining equations (280,267) yields a new equation:
% 23.42/6.10 | (281) e3 = e0
% 23.42/6.10 |
% 23.42/6.10 | Simplifying 281 yields:
% 23.42/6.10 | (282) e3 = e0
% 23.42/6.10 |
% 23.42/6.10 | Equations (282) can reduce 54 to:
% 23.42/6.10 | (243) $false
% 23.42/6.10 |
% 23.42/6.10 |-The branch is then unsatisfiable
% 23.42/6.10 |-Branch two:
% 23.42/6.10 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.42/6.10 |
% 23.42/6.10 | Applying alpha-rule on (452) yields:
% 23.42/6.10 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.42/6.10 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.42/6.10 | (422) ~ (all_0_12_12 = e1)
% 23.42/6.10 | (212) all_0_6_6 = e2
% 23.42/6.10 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.42/6.10 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.10 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.42/6.11 | (460) ~ (all_0_9_9 = e1)
% 23.42/6.11 | (461) ~ (all_0_20_20 = e1)
% 23.42/6.11 | (462) ~ (all_0_11_11 = e1)
% 23.42/6.11 | (463) ~ (unit = e1)
% 23.42/6.11 | (464) ~ (all_0_4_4 = e1)
% 23.42/6.11 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (202), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (307) all_0_9_9 = e2
% 23.42/6.11 |
% 23.42/6.11 | Equations (307) can reduce 2398 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (2398) ~ (all_0_9_9 = e2)
% 23.42/6.11 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (2399), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (1290) all_0_9_9 = e1
% 23.42/6.11 |
% 23.42/6.11 | Equations (1290) can reduce 460 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (460) ~ (all_0_9_9 = e1)
% 23.42/6.11 | (326) all_0_9_9 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (326) can reduce 110 to:
% 23.42/6.11 | (237) ~ (all_0_1_1 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Equations (326) can reduce 2398 to:
% 23.42/6.11 | (277) ~ (e2 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 277 yields:
% 23.42/6.11 | (39) ~ (e2 = e0)
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (18), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (523) all_0_20_20 = e1
% 23.42/6.11 |
% 23.42/6.11 | Equations (523) can reduce 461 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (461) ~ (all_0_20_20 = e1)
% 23.42/6.11 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (191), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (638) all_0_4_4 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (638) can reduce 93 to:
% 23.42/6.11 | (268) ~ (all_0_0_0 = e0)
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (780), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (788) all_0_0_0 = e3
% 23.42/6.11 |
% 23.42/6.11 | Equations (788) can reduce 414 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.11 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (791), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.42/6.11 |
% 23.42/6.11 | Applying alpha-rule on (796) yields:
% 23.42/6.11 | (797) all_0_0_0 = e0
% 23.42/6.11 | (792) all_0_20_20 = e4
% 23.42/6.11 | (392) ~ (all_0_4_4 = e4)
% 23.42/6.11 |
% 23.42/6.11 | Equations (797) can reduce 268 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Applying alpha-rule on (801) yields:
% 23.42/6.11 | (797) all_0_0_0 = e0
% 23.42/6.11 | (792) all_0_20_20 = e4
% 23.42/6.11 | (276) ~ (all_0_16_16 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Equations (797) can reduce 268 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (344) ~ (all_0_4_4 = e0)
% 23.42/6.11 | (4140) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_20_20 = e0
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (99), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (797) all_0_0_0 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (797) can reduce 268 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (268) ~ (all_0_0_0 = e0)
% 23.42/6.11 | (5846) all_0_1_1 = e0 | all_0_2_2 = e0 | all_0_4_4 = e0
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (5846), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (322) all_0_1_1 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (322) can reduce 237 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (237) ~ (all_0_1_1 = e0)
% 23.42/6.11 | (5850) all_0_2_2 = e0 | all_0_4_4 = e0
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (5850), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (236) all_0_2_2 = e0
% 23.42/6.11 |
% 23.42/6.11 | Combining equations (236,750) yields a new equation:
% 23.42/6.11 | (327) e2 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (327) can reduce 39 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (4061) ~ (all_0_2_2 = e0)
% 23.42/6.11 | (638) all_0_4_4 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (638) can reduce 344 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Applying alpha-rule on (467) yields:
% 23.42/6.11 | (468) ~ (all_0_7_7 = e3)
% 23.42/6.11 | (405) ~ (all_0_16_16 = e3)
% 23.42/6.11 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.42/6.11 | (295) ~ (all_0_15_15 = e3)
% 23.42/6.11 | (472) ~ (all_0_12_12 = e3)
% 23.42/6.11 | (289) ~ (all_0_6_6 = e3)
% 23.42/6.11 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.42/6.11 | (475) ~ (unit = e3)
% 23.42/6.11 | (307) all_0_9_9 = e2
% 23.42/6.11 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.42/6.11 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.42/6.11 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.11 |
% 23.42/6.11 | Equations (413) can reduce 472 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.42/6.11 |
% 23.42/6.11 | Applying alpha-rule on (481) yields:
% 23.42/6.11 | (482) all_0_15_15 = e1
% 23.42/6.11 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.42/6.11 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.42/6.11 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.11 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.42/6.11 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.42/6.11 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.42/6.11 | (489) ~ (unit = e0)
% 23.42/6.11 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.42/6.11 | (491) ~ (all_0_5_5 = e0)
% 23.42/6.11 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.42/6.11 |
% 23.42/6.11 | Equations (267) can reduce 491 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.42/6.11 |
% 23.42/6.11 | Applying alpha-rule on (496) yields:
% 23.42/6.11 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.11 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.42/6.11 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.42/6.11 | (214) ~ (all_0_5_5 = e2)
% 23.42/6.11 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.42/6.11 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.42/6.11 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.42/6.11 | (213) ~ (all_0_3_3 = e2)
% 23.42/6.11 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.42/6.11 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.42/6.11 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.42/6.11 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.42/6.11 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.42/6.11 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.11 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.11 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.11 | (216) ~ (all_0_7_7 = e2)
% 23.42/6.11 | (218) ~ (all_0_10_10 = e2)
% 23.42/6.11 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.11 | (229) ~ (all_0_15_15 = e2)
% 23.42/6.11 | (313) ~ (all_0_11_11 = e2)
% 23.42/6.11 |
% 23.42/6.11 | Equations (299) can reduce 227 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (472) ~ (all_0_12_12 = e3)
% 23.42/6.11 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (871), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (868) all_0_13_13 = e3
% 23.42/6.11 |
% 23.42/6.11 | Combining equations (868,299) yields a new equation:
% 23.42/6.11 | (400) e3 = e2
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 400 yields:
% 23.42/6.11 | (287) e3 = e2
% 23.42/6.11 |
% 23.42/6.11 | Equations (287) can reduce 183 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (416) ~ (all_0_13_13 = e3)
% 23.42/6.11 | (1216) all_0_15_15 = e3
% 23.42/6.11 |
% 23.42/6.11 | Equations (1216) can reduce 295 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.11 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (29), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (741) all_0_1_1 = e2
% 23.42/6.11 |
% 23.42/6.11 | Equations (741) can reduce 308 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.11 | (2925) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (202), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (307) all_0_9_9 = e2
% 23.42/6.11 |
% 23.42/6.11 | Equations (307) can reduce 110 to:
% 23.42/6.11 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.11 |
% 23.42/6.11 | Equations (307) can reduce 137 to:
% 23.42/6.11 | (7959) ~ (all_0_13_13 = e2)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 7959 yields:
% 23.42/6.11 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.11 |
% 23.42/6.11 | Equations (307) can reduce 56 to:
% 23.42/6.11 | (314) ~ (all_0_17_17 = e2)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 314 yields:
% 23.42/6.11 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.11 |
% 23.42/6.11 | Equations (307) can reduce 127 to:
% 23.42/6.11 | (221) ~ (e4 = e2)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 221 yields:
% 23.42/6.11 | (194) ~ (e4 = e2)
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (176), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (322) all_0_1_1 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (322) can reduce 178 to:
% 23.42/6.11 | (268) ~ (all_0_0_0 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Equations (322) can reduce 47 to:
% 23.42/6.11 | (238) ~ (all_0_3_3 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 238 yields:
% 23.42/6.11 | (193) ~ (all_0_3_3 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Equations (322) can reduce 73 to:
% 23.42/6.11 | (2481) ~ (all_0_17_17 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 2481 yields:
% 23.42/6.11 | (2482) ~ (all_0_17_17 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Equations (322) can reduce 159 to:
% 23.42/6.11 | (334) ~ (e4 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 334 yields:
% 23.42/6.11 | (4) ~ (e4 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Equations (322) can reduce 308 to:
% 23.42/6.11 | (277) ~ (e2 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 277 yields:
% 23.42/6.11 | (39) ~ (e2 = e0)
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (132), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (318) all_0_8_8 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (318) can reduce 272 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (272) ~ (all_0_8_8 = e0)
% 23.42/6.11 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (321), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (326) all_0_9_9 = e0
% 23.42/6.11 |
% 23.42/6.11 | Combining equations (307,326) yields a new equation:
% 23.42/6.11 | (339) e2 = e0
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 339 yields:
% 23.42/6.11 | (327) e2 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (327) can reduce 39 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.11 | (343) all_0_11_11 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (343) can reduce 7 to:
% 23.42/6.11 | (272) ~ (all_0_8_8 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Equations (343) can reduce 25 to:
% 23.42/6.11 | (346) ~ (all_0_15_15 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 346 yields:
% 23.42/6.11 | (151) ~ (all_0_15_15 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Equations (343) can reduce 30 to:
% 23.42/6.11 | (240) ~ (e3 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Simplifying 240 yields:
% 23.42/6.11 | (54) ~ (e3 = e0)
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (126), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (823) all_0_15_15 = e2
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (72), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (433), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (434), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.42/6.11 |
% 23.42/6.11 +-Applying beta-rule and splitting (435), into two cases.
% 23.42/6.11 |-Branch one:
% 23.42/6.11 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.42/6.11 |
% 23.42/6.11 | Applying alpha-rule on (436) yields:
% 23.42/6.11 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.42/6.11 | (438) ~ (unit = e4)
% 23.42/6.11 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.42/6.11 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.42/6.11 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.42/6.11 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.11 | (280) all_0_5_5 = e3
% 23.42/6.11 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.42/6.11 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.42/6.11 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.42/6.11 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.42/6.11 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.42/6.11 |
% 23.42/6.11 | Combining equations (267,280) yields a new equation:
% 23.42/6.11 | (282) e3 = e0
% 23.42/6.11 |
% 23.42/6.11 | Equations (282) can reduce 54 to:
% 23.42/6.11 | (243) $false
% 23.42/6.11 |
% 23.42/6.11 |-The branch is then unsatisfiable
% 23.42/6.11 |-Branch two:
% 23.42/6.11 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.42/6.11 |
% 23.42/6.11 | Applying alpha-rule on (452) yields:
% 23.42/6.11 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.42/6.11 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.42/6.11 | (422) ~ (all_0_12_12 = e1)
% 23.42/6.11 | (212) all_0_6_6 = e2
% 23.42/6.11 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.42/6.11 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.11 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.42/6.11 | (460) ~ (all_0_9_9 = e1)
% 23.42/6.11 | (461) ~ (all_0_20_20 = e1)
% 23.42/6.11 | (462) ~ (all_0_11_11 = e1)
% 23.42/6.11 | (463) ~ (unit = e1)
% 23.42/6.11 | (464) ~ (all_0_4_4 = e1)
% 23.42/6.11 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.42/6.11 |
% 23.42/6.12 | Equations (307) can reduce 460 to:
% 23.42/6.12 | (114) ~ (e2 = e1)
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (91), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (418) all_0_12_12 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (418) can reduce 422 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (422) ~ (all_0_12_12 = e1)
% 23.42/6.12 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (423), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (429) all_0_13_13 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (429) can reduce 458 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.12 | (482) all_0_15_15 = e1
% 23.42/6.12 |
% 23.42/6.12 | Combining equations (823,482) yields a new equation:
% 23.42/6.12 | (559) e2 = e1
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 559 yields:
% 23.42/6.12 | (560) e2 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (560) can reduce 114 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.42/6.12 |
% 23.42/6.12 | Applying alpha-rule on (467) yields:
% 23.42/6.12 | (468) ~ (all_0_7_7 = e3)
% 23.42/6.12 | (405) ~ (all_0_16_16 = e3)
% 23.42/6.12 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.42/6.12 | (295) ~ (all_0_15_15 = e3)
% 23.42/6.12 | (472) ~ (all_0_12_12 = e3)
% 23.42/6.12 | (289) ~ (all_0_6_6 = e3)
% 23.42/6.12 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.42/6.12 | (475) ~ (unit = e3)
% 23.42/6.12 | (307) all_0_9_9 = e2
% 23.42/6.12 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.42/6.12 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.42/6.12 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.12 |
% 23.42/6.12 | Equations (290) can reduce 468 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.42/6.12 |
% 23.42/6.12 | Applying alpha-rule on (481) yields:
% 23.42/6.12 | (482) all_0_15_15 = e1
% 23.42/6.12 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.42/6.12 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.42/6.12 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.12 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.42/6.12 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.42/6.12 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.42/6.12 | (489) ~ (unit = e0)
% 23.42/6.12 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.42/6.12 | (491) ~ (all_0_5_5 = e0)
% 23.42/6.12 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.42/6.12 |
% 23.42/6.12 | Combining equations (823,482) yields a new equation:
% 23.42/6.12 | (559) e2 = e1
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 559 yields:
% 23.42/6.12 | (560) e2 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (560) can reduce 114 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.42/6.12 |
% 23.42/6.12 | Applying alpha-rule on (496) yields:
% 23.42/6.12 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.12 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.42/6.12 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.42/6.12 | (214) ~ (all_0_5_5 = e2)
% 23.42/6.12 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.42/6.12 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.42/6.12 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.42/6.12 | (213) ~ (all_0_3_3 = e2)
% 23.42/6.12 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.42/6.12 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.42/6.12 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.42/6.12 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.42/6.12 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.42/6.12 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.12 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.12 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.12 | (216) ~ (all_0_7_7 = e2)
% 23.42/6.12 | (218) ~ (all_0_10_10 = e2)
% 23.42/6.12 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.12 | (229) ~ (all_0_15_15 = e2)
% 23.42/6.12 | (313) ~ (all_0_11_11 = e2)
% 23.42/6.12 |
% 23.42/6.12 | Equations (823) can reduce 229 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (229) ~ (all_0_15_15 = e2)
% 23.42/6.12 | (4171) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (75), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (732) all_0_12_12 = e2
% 23.42/6.12 |
% 23.42/6.12 | Equations (732) can reduce 174 to:
% 23.42/6.12 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.12 |
% 23.42/6.12 | Equations (732) can reduce 88 to:
% 23.42/6.12 | (7959) ~ (all_0_13_13 = e2)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 7959 yields:
% 23.42/6.12 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.12 |
% 23.42/6.12 | Equations (732) can reduce 189 to:
% 23.42/6.12 | (1540) ~ (all_0_16_16 = e2)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 1540 yields:
% 23.42/6.12 | (542) ~ (all_0_16_16 = e2)
% 23.42/6.12 |
% 23.42/6.12 | Equations (732) can reduce 357 to:
% 23.42/6.12 | (221) ~ (e4 = e2)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 221 yields:
% 23.42/6.12 | (194) ~ (e4 = e2)
% 23.42/6.12 |
% 23.42/6.12 | Equations (732) can reduce 210 to:
% 23.42/6.12 | (39) ~ (e2 = e0)
% 23.42/6.12 |
% 23.42/6.12 | From (732) and (103) follows:
% 23.42/6.12 | (8098) op(e1, e4) = e2
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (4171), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (391) all_0_15_15 = e4
% 23.42/6.12 |
% 23.42/6.12 | Equations (391) can reduce 442 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.12 | (4209) all_0_15_15 = e3 | all_0_15_15 = e1
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (4209), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (482) all_0_15_15 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (482) can reduce 179 to:
% 23.42/6.12 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Equations (482) can reduce 40 to:
% 23.42/6.12 | (2079) ~ (all_0_20_20 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 2079 yields:
% 23.42/6.12 | (461) ~ (all_0_20_20 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Equations (482) can reduce 442 to:
% 23.42/6.12 | (383) ~ (e4 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 383 yields:
% 23.42/6.12 | (207) ~ (e4 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Equations (482) can reduce 295 to:
% 23.42/6.12 | (528) ~ (e3 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 528 yields:
% 23.42/6.12 | (111) ~ (e3 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Equations (482) can reduce 151 to:
% 23.42/6.12 | (109) ~ (e1 = e0)
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (18), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (523) all_0_20_20 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (523) can reduce 461 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (461) ~ (all_0_20_20 = e1)
% 23.42/6.12 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (780), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (788) all_0_0_0 = e3
% 23.42/6.12 |
% 23.42/6.12 | Equations (788) can reduce 85 to:
% 23.42/6.12 | (2761) ~ (all_0_3_3 = e3)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 2761 yields:
% 23.42/6.12 | (375) ~ (all_0_3_3 = e3)
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (140), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (372) all_0_3_3 = e3
% 23.42/6.12 |
% 23.42/6.12 | Equations (372) can reduce 375 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (375) ~ (all_0_3_3 = e3)
% 23.42/6.12 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (9), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (605) all_0_1_1 = e1
% 23.42/6.12 |
% 23.42/6.12 | Combining equations (605,322) yields a new equation:
% 23.42/6.12 | (587) e1 = e0
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 587 yields:
% 23.42/6.12 | (561) e1 = e0
% 23.42/6.12 |
% 23.42/6.12 | Equations (561) can reduce 109 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (608) ~ (all_0_1_1 = e1)
% 23.42/6.12 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (322) can reduce 608 to:
% 23.42/6.12 | (578) ~ (e1 = e0)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 578 yields:
% 23.42/6.12 | (109) ~ (e1 = e0)
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (107), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (538) all_0_0_0 = e1
% 23.42/6.12 |
% 23.42/6.12 | Combining equations (538,788) yields a new equation:
% 23.42/6.12 | (420) e3 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (420) can reduce 111 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (595) ~ (all_0_0_0 = e1)
% 23.42/6.12 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (120), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (532) all_0_16_16 = e2
% 23.42/6.12 |
% 23.42/6.12 | Equations (532) can reduce 542 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (542) ~ (all_0_16_16 = e2)
% 23.42/6.12 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (596), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (605) all_0_1_1 = e1
% 23.42/6.12 |
% 23.42/6.12 | Combining equations (605,322) yields a new equation:
% 23.42/6.12 | (587) e1 = e0
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 587 yields:
% 23.42/6.12 | (561) e1 = e0
% 23.42/6.12 |
% 23.42/6.12 | Equations (561) can reduce 109 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (608) ~ (all_0_1_1 = e1)
% 23.42/6.12 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (671), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (1820) all_0_17_17 = e2
% 23.42/6.12 |
% 23.42/6.12 | Equations (1820) can reduce 315 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.12 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (1824), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (242) all_0_18_18 = e2
% 23.42/6.12 |
% 23.42/6.12 | Combining equations (832,242) yields a new equation:
% 23.42/6.12 | (327) e2 = e0
% 23.42/6.12 |
% 23.42/6.12 | Equations (327) can reduce 39 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (231) ~ (all_0_18_18 = e2)
% 23.42/6.12 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (1837), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (1262) all_0_19_19 = e2
% 23.42/6.12 |
% 23.42/6.12 | Equations (1262) can reduce 220 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.12 | (784) all_0_20_20 = e2
% 23.42/6.12 |
% 23.42/6.12 | Equations (784) can reduce 197 to:
% 23.42/6.12 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.12 |
% 23.42/6.12 | From (784) and (177) follows:
% 23.42/6.12 | (8160) op(e0, e0) = e2
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (52), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (630) all_0_4_4 = e4
% 23.42/6.12 |
% 23.42/6.12 | Equations (630) can reduce 86 to:
% 23.42/6.12 | (1220) ~ (all_0_3_3 = e4)
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (302), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (429) all_0_13_13 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (429) can reduce 458 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.12 | (868) all_0_13_13 = e3
% 23.42/6.12 |
% 23.42/6.12 | Equations (868) can reduce 19 to:
% 23.42/6.12 | (2751) ~ (all_0_17_17 = e3)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 2751 yields:
% 23.42/6.12 | (2752) ~ (all_0_17_17 = e3)
% 23.42/6.12 |
% 23.42/6.12 | Equations (868) can reduce 97 to:
% 23.42/6.12 | (408) ~ (e4 = e3)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 408 yields:
% 23.42/6.12 | (23) ~ (e4 = e3)
% 23.42/6.12 |
% 23.42/6.12 | Equations (868) can reduce 227 to:
% 23.42/6.12 | (183) ~ (e3 = e2)
% 23.42/6.12 |
% 23.42/6.12 | From (868) and (51) follows:
% 23.42/6.12 | (567) op(e1, e3) = e3
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (59), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (1820) all_0_17_17 = e2
% 23.42/6.12 |
% 23.42/6.12 | Equations (1820) can reduce 315 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.12 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (2810), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (1012) all_0_17_17 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (1012) can reduce 163 to:
% 23.42/6.12 | (383) ~ (e4 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 383 yields:
% 23.42/6.12 | (207) ~ (e4 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Equations (1012) can reduce 2752 to:
% 23.42/6.12 | (528) ~ (e3 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 528 yields:
% 23.42/6.12 | (111) ~ (e3 = e1)
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (37), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (538) all_0_0_0 = e1
% 23.42/6.12 |
% 23.42/6.12 | Combining equations (538,788) yields a new equation:
% 23.42/6.12 | (420) e3 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (420) can reduce 111 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (595) ~ (all_0_0_0 = e1)
% 23.42/6.12 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (600), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (611) all_0_8_8 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (611) can reduce 38 to:
% 23.42/6.12 | (2730) ~ (all_0_10_10 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 2730 yields:
% 23.42/6.12 | (2075) ~ (all_0_10_10 = e1)
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (104), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (695) all_0_3_3 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (695) can reduce 213 to:
% 23.42/6.12 | (530) ~ (e2 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Simplifying 530 yields:
% 23.42/6.12 | (114) ~ (e2 = e1)
% 23.42/6.12 |
% 23.42/6.12 | Equations (695) can reduce 193 to:
% 23.42/6.12 | (109) ~ (e1 = e0)
% 23.42/6.12 |
% 23.42/6.12 | From (695) and (185) follows:
% 23.42/6.12 | (553) op(e4, e1) = e1
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (376), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (286) all_0_6_6 = e3
% 23.42/6.12 |
% 23.42/6.12 | Combining equations (212,286) yields a new equation:
% 23.42/6.12 | (287) e3 = e2
% 23.42/6.12 |
% 23.42/6.12 | Equations (287) can reduce 183 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (289) ~ (all_0_6_6 = e3)
% 23.42/6.12 | (404) all_0_19_19 = e3
% 23.42/6.12 |
% 23.42/6.12 | From (404) and (168) follows:
% 23.42/6.12 | (412) op(e0, e1) = e3
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (46), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (548) unit = e2
% 23.42/6.12 |
% 23.42/6.12 | From (548) and (102) follows:
% 23.42/6.12 | (3465) op(e3, e2) = e3
% 23.42/6.12 |
% 23.42/6.12 | From (548) and (139) follows:
% 23.42/6.12 | (2817) op(e2, e2) = e2
% 23.42/6.12 |
% 23.42/6.12 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 23.42/6.12 | (420) e3 = e1
% 23.42/6.12 |
% 23.42/6.12 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 23.42/6.12 | (287) e3 = e2
% 23.42/6.12 |
% 23.42/6.12 | Combining equations (420,287) yields a new equation:
% 23.42/6.12 | (560) e2 = e1
% 23.42/6.12 |
% 23.42/6.12 | Equations (560) can reduce 114 to:
% 23.42/6.12 | (243) $false
% 23.42/6.12 |
% 23.42/6.12 |-The branch is then unsatisfiable
% 23.42/6.12 |-Branch two:
% 23.42/6.12 | (547) ~ (unit = e2)
% 23.42/6.12 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 23.42/6.12 |
% 23.42/6.12 +-Applying beta-rule and splitting (551), into two cases.
% 23.42/6.12 |-Branch one:
% 23.42/6.12 | (552) unit = e4
% 23.42/6.12 |
% 23.42/6.12 | From (552) and (172) follows:
% 23.42/6.12 | (2832) op(e1, e4) = e1
% 23.42/6.12 |
% 23.42/6.12 | Instantiating formula (105) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields:
% 23.42/6.12 | (560) e2 = e1
% 23.42/6.12 |
% 23.42/6.13 | Equations (560) can reduce 114 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (438) ~ (unit = e4)
% 23.42/6.13 | (564) unit = e3 | unit = e1 | unit = e0
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (564), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (565) unit = e1
% 23.42/6.13 |
% 23.42/6.13 | From (565) and (184) follows:
% 23.42/6.13 | (235) op(e1, e2) = e2
% 23.42/6.13 |
% 23.42/6.13 | From (565) and (95) follows:
% 23.42/6.13 | (371) op(e4, e1) = e4
% 23.42/6.13 |
% 23.42/6.13 | From (565) and (102) follows:
% 23.42/6.13 | (1053) op(e3, e1) = e3
% 23.42/6.13 |
% 23.42/6.13 | From (565) and (175) follows:
% 23.42/6.13 | (1055) op(e0, e1) = e0
% 23.42/6.13 |
% 23.42/6.13 | Instantiating formula (105) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields:
% 23.42/6.13 | (494) e4 = e1
% 23.42/6.13 |
% 23.42/6.13 | Instantiating formula (105) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 23.42/6.13 | (287) e3 = e2
% 23.42/6.13 |
% 23.42/6.13 | Instantiating formula (105) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields:
% 23.42/6.13 | (254) e4 = e2
% 23.42/6.13 |
% 23.42/6.13 | Instantiating formula (105) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 23.42/6.13 | (282) e3 = e0
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (254,494) yields a new equation:
% 23.42/6.13 | (559) e2 = e1
% 23.42/6.13 |
% 23.42/6.13 | Simplifying 559 yields:
% 23.42/6.13 | (560) e2 = e1
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (282,287) yields a new equation:
% 23.42/6.13 | (327) e2 = e0
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (327,560) yields a new equation:
% 23.42/6.13 | (561) e1 = e0
% 23.42/6.13 |
% 23.42/6.13 | Equations (561) can reduce 109 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (463) ~ (unit = e1)
% 23.42/6.13 | (576) unit = e3 | unit = e0
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (576), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (577) unit = e0
% 23.42/6.13 |
% 23.42/6.13 | Equations (577) can reduce 547 to:
% 23.42/6.13 | (277) ~ (e2 = e0)
% 23.42/6.13 |
% 23.42/6.13 | Simplifying 277 yields:
% 23.42/6.13 | (39) ~ (e2 = e0)
% 23.42/6.13 |
% 23.42/6.13 | From (577) and (175) follows:
% 23.42/6.13 | (4359) op(e0, e0) = e0
% 23.42/6.13 |
% 23.42/6.13 | Instantiating formula (105) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields:
% 23.42/6.13 | (327) e2 = e0
% 23.42/6.13 |
% 23.42/6.13 | Equations (327) can reduce 39 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (489) ~ (unit = e0)
% 23.42/6.13 | (591) unit = e3
% 23.42/6.13 |
% 23.42/6.13 | From (591) and (169) follows:
% 23.42/6.13 | (1079) op(e3, e4) = e4
% 23.42/6.13 |
% 23.42/6.13 | From (591) and (102) follows:
% 23.42/6.13 | (1080) op(e3, e3) = e3
% 23.42/6.13 |
% 23.42/6.13 | From (591) and (172) follows:
% 23.42/6.13 | (432) op(e1, e3) = e1
% 23.42/6.13 |
% 23.42/6.13 | Instantiating formula (105) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields:
% 23.42/6.13 | (248) e4 = e0
% 23.42/6.13 |
% 23.42/6.13 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 23.42/6.13 | (373) e4 = e3
% 23.42/6.13 |
% 23.42/6.13 | Instantiating formula (105) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 23.42/6.13 | (420) e3 = e1
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (248,373) yields a new equation:
% 23.42/6.13 | (282) e3 = e0
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (420,282) yields a new equation:
% 23.42/6.13 | (587) e1 = e0
% 23.42/6.13 |
% 23.42/6.13 | Simplifying 587 yields:
% 23.42/6.13 | (561) e1 = e0
% 23.42/6.13 |
% 23.42/6.13 | Equations (561) can reduce 109 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (698) ~ (all_0_3_3 = e1)
% 23.42/6.13 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (306), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (377) all_0_10_10 = e4
% 23.42/6.13 |
% 23.42/6.13 | Equations (377) can reduce 2075 to:
% 23.42/6.13 | (207) ~ (e4 = e1)
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (609), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (695) all_0_3_3 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (695) can reduce 698 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (698) ~ (all_0_3_3 = e1)
% 23.42/6.13 | (634) all_0_4_4 = e1
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (634,630) yields a new equation:
% 23.42/6.13 | (494) e4 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (494) can reduce 207 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (355) ~ (all_0_10_10 = e4)
% 23.42/6.13 | (380) all_0_10_10 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (380) can reduce 2075 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (614) ~ (all_0_8_8 = e1)
% 23.42/6.13 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (164), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (611) all_0_8_8 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (611) can reduce 614 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (614) ~ (all_0_8_8 = e1)
% 23.42/6.13 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (609), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (695) all_0_3_3 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (695) can reduce 1220 to:
% 23.42/6.13 | (383) ~ (e4 = e1)
% 23.42/6.13 |
% 23.42/6.13 | Simplifying 383 yields:
% 23.42/6.13 | (207) ~ (e4 = e1)
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (376), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (286) all_0_6_6 = e3
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (212,286) yields a new equation:
% 23.42/6.13 | (287) e3 = e2
% 23.42/6.13 |
% 23.42/6.13 | Equations (287) can reduce 183 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (289) ~ (all_0_6_6 = e3)
% 23.42/6.13 | (404) all_0_19_19 = e3
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (115), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (364) all_0_3_3 = e4
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (364,695) yields a new equation:
% 23.42/6.13 | (493) e4 = e1
% 23.42/6.13 |
% 23.42/6.13 | Simplifying 493 yields:
% 23.42/6.13 | (494) e4 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (494) can reduce 207 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (1220) ~ (all_0_3_3 = e4)
% 23.42/6.13 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (198), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (727) all_0_8_8 = e2
% 23.42/6.13 |
% 23.42/6.13 | Equations (727) can reduce 309 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.13 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (1221), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (377) all_0_10_10 = e4
% 23.42/6.13 |
% 23.42/6.13 | Equations (377) can reduce 38 to:
% 23.42/6.13 | (1227) ~ (all_0_8_8 = e4)
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (1232), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (353) all_0_8_8 = e4
% 23.42/6.13 |
% 23.42/6.13 | Equations (353) can reduce 1227 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (1227) ~ (all_0_8_8 = e4)
% 23.42/6.13 | (2388) all_0_8_8 = e1 | all_0_8_8 = e0
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (2388), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (611) all_0_8_8 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (611) can reduce 614 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (614) ~ (all_0_8_8 = e1)
% 23.42/6.13 | (318) all_0_8_8 = e0
% 23.42/6.13 |
% 23.42/6.13 | Equations (318) can reduce 272 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (355) ~ (all_0_10_10 = e4)
% 23.42/6.13 | (1225) all_0_19_19 = e4
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (1225,404) yields a new equation:
% 23.42/6.13 | (1217) e4 = e3
% 23.42/6.13 |
% 23.42/6.13 | Simplifying 1217 yields:
% 23.42/6.13 | (373) e4 = e3
% 23.42/6.13 |
% 23.42/6.13 | Equations (373) can reduce 23 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (698) ~ (all_0_3_3 = e1)
% 23.42/6.13 | (634) all_0_4_4 = e1
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (634,630) yields a new equation:
% 23.42/6.13 | (494) e4 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (494) can reduce 207 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (1015) ~ (all_0_17_17 = e1)
% 23.42/6.13 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (2871), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (330) all_0_17_17 = e0
% 23.42/6.13 |
% 23.42/6.13 | Equations (330) can reduce 2482 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (2482) ~ (all_0_17_17 = e0)
% 23.42/6.13 | (1181) all_0_17_17 = e3
% 23.42/6.13 |
% 23.42/6.13 | Equations (1181) can reduce 2752 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (392) ~ (all_0_4_4 = e4)
% 23.42/6.13 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (2004), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (2395) all_0_11_11 = e4
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (343,2395) yields a new equation:
% 23.42/6.13 | (248) e4 = e0
% 23.42/6.13 |
% 23.42/6.13 | Equations (248) can reduce 4 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (2559) ~ (all_0_11_11 = e4)
% 23.42/6.13 | (3020) all_0_15_15 = e4 | all_0_20_20 = e4
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (3020), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (391) all_0_15_15 = e4
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (482,391) yields a new equation:
% 23.42/6.13 | (494) e4 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (494) can reduce 207 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.13 | (792) all_0_20_20 = e4
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (792,784) yields a new equation:
% 23.42/6.13 | (253) e4 = e2
% 23.42/6.13 |
% 23.42/6.13 | Simplifying 253 yields:
% 23.42/6.13 | (254) e4 = e2
% 23.42/6.13 |
% 23.42/6.13 | Equations (254) can reduce 194 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.13 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (791), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.42/6.13 |
% 23.42/6.13 | Applying alpha-rule on (796) yields:
% 23.42/6.13 | (797) all_0_0_0 = e0
% 23.42/6.13 | (792) all_0_20_20 = e4
% 23.42/6.13 | (392) ~ (all_0_4_4 = e4)
% 23.42/6.13 |
% 23.42/6.13 | Equations (797) can reduce 268 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.42/6.13 |
% 23.42/6.13 | Applying alpha-rule on (801) yields:
% 23.42/6.13 | (797) all_0_0_0 = e0
% 23.42/6.13 | (792) all_0_20_20 = e4
% 23.42/6.13 | (276) ~ (all_0_16_16 = e0)
% 23.42/6.13 |
% 23.42/6.13 | Equations (797) can reduce 268 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (1154) ~ (all_0_15_15 = e1)
% 23.42/6.13 | (1216) all_0_15_15 = e3
% 23.42/6.13 |
% 23.42/6.13 | Equations (1216) can reduce 295 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (226) ~ (all_0_12_12 = e2)
% 23.42/6.13 | (8345) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (4171), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (391) all_0_15_15 = e4
% 23.42/6.13 |
% 23.42/6.13 | Equations (391) can reduce 442 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.13 | (4209) all_0_15_15 = e3 | all_0_15_15 = e1
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (8345), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (299) all_0_13_13 = e2
% 23.42/6.13 |
% 23.42/6.13 | Equations (299) can reduce 227 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.13 | (8353) all_0_14_14 = e2 | all_0_15_15 = e2
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (4209), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (482) all_0_15_15 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (482) can reduce 229 to:
% 23.42/6.13 | (530) ~ (e2 = e1)
% 23.42/6.13 |
% 23.42/6.13 | Simplifying 530 yields:
% 23.42/6.13 | (114) ~ (e2 = e1)
% 23.42/6.13 |
% 23.42/6.13 +-Applying beta-rule and splitting (8353), into two cases.
% 23.42/6.13 |-Branch one:
% 23.42/6.13 | (224) all_0_14_14 = e2
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (224,252) yields a new equation:
% 23.42/6.13 | (254) e4 = e2
% 23.42/6.13 |
% 23.42/6.13 | Equations (254) can reduce 194 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (7736) ~ (all_0_14_14 = e2)
% 23.42/6.13 | (823) all_0_15_15 = e2
% 23.42/6.13 |
% 23.42/6.13 | Combining equations (482,823) yields a new equation:
% 23.42/6.13 | (560) e2 = e1
% 23.42/6.13 |
% 23.42/6.13 | Equations (560) can reduce 114 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.13 |-Branch two:
% 23.42/6.13 | (1154) ~ (all_0_15_15 = e1)
% 23.42/6.13 | (1216) all_0_15_15 = e3
% 23.42/6.13 |
% 23.42/6.13 | Equations (1216) can reduce 295 to:
% 23.42/6.13 | (243) $false
% 23.42/6.13 |
% 23.42/6.13 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (237) ~ (all_0_1_1 = e0)
% 23.42/6.14 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (325), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (326) all_0_9_9 = e0
% 23.42/6.14 |
% 23.42/6.14 | Combining equations (326,307) yields a new equation:
% 23.42/6.14 | (327) e2 = e0
% 23.42/6.14 |
% 23.42/6.14 | Equations (327) can reduce 39 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.14 | (330) all_0_17_17 = e0
% 23.42/6.14 |
% 23.42/6.14 | Equations (330) can reduce 2482 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (2398) ~ (all_0_9_9 = e2)
% 23.42/6.14 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (2925), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (307) all_0_9_9 = e2
% 23.42/6.14 |
% 23.42/6.14 | Equations (307) can reduce 2398 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (2398) ~ (all_0_9_9 = e2)
% 23.42/6.14 | (3258) all_0_13_13 = e2 | all_0_17_17 = e2
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (3258), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (299) all_0_13_13 = e2
% 23.42/6.14 |
% 23.42/6.14 | Equations (299) can reduce 227 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.14 | (1820) all_0_17_17 = e2
% 23.42/6.14 |
% 23.42/6.14 | Equations (1820) can reduce 56 to:
% 23.42/6.14 | (2398) ~ (all_0_9_9 = e2)
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (72), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (433), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (434), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (435), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Applying alpha-rule on (436) yields:
% 23.42/6.14 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.42/6.14 | (438) ~ (unit = e4)
% 23.42/6.14 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.42/6.14 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.42/6.14 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.42/6.14 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.14 | (280) all_0_5_5 = e3
% 23.42/6.14 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.42/6.14 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.42/6.14 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.42/6.14 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.42/6.14 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.42/6.14 |
% 23.42/6.14 | Combining equations (280,267) yields a new equation:
% 23.42/6.14 | (281) e3 = e0
% 23.42/6.14 |
% 23.42/6.14 | Simplifying 281 yields:
% 23.42/6.14 | (282) e3 = e0
% 23.42/6.14 |
% 23.42/6.14 | Equations (282) can reduce 54 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.42/6.14 |
% 23.42/6.14 | Applying alpha-rule on (452) yields:
% 23.42/6.14 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.42/6.14 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.42/6.14 | (422) ~ (all_0_12_12 = e1)
% 23.42/6.14 | (212) all_0_6_6 = e2
% 23.42/6.14 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.42/6.14 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.14 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.42/6.14 | (460) ~ (all_0_9_9 = e1)
% 23.42/6.14 | (461) ~ (all_0_20_20 = e1)
% 23.42/6.14 | (462) ~ (all_0_11_11 = e1)
% 23.42/6.14 | (463) ~ (unit = e1)
% 23.42/6.14 | (464) ~ (all_0_4_4 = e1)
% 23.42/6.14 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (18), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (523) all_0_20_20 = e1
% 23.42/6.14 |
% 23.42/6.14 | Equations (523) can reduce 461 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (461) ~ (all_0_20_20 = e1)
% 23.42/6.14 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (9), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (605) all_0_1_1 = e1
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (465), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (608) ~ (all_0_1_1 = e1)
% 23.42/6.14 |
% 23.42/6.14 | Equations (605) can reduce 608 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (605) all_0_1_1 = e1
% 23.42/6.14 | (372) all_0_3_3 = e3
% 23.42/6.14 |
% 23.42/6.14 | Equations (372) can reduce 85 to:
% 23.42/6.14 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (780), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (788) all_0_0_0 = e3
% 23.42/6.14 |
% 23.42/6.14 | Equations (788) can reduce 414 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.14 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (99), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (797) all_0_0_0 = e0
% 23.42/6.14 |
% 23.42/6.14 | Equations (797) can reduce 268 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (268) ~ (all_0_0_0 = e0)
% 23.42/6.14 | (5846) all_0_1_1 = e0 | all_0_2_2 = e0 | all_0_4_4 = e0
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (791), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.42/6.14 |
% 23.42/6.14 | Applying alpha-rule on (796) yields:
% 23.42/6.14 | (797) all_0_0_0 = e0
% 23.42/6.14 | (792) all_0_20_20 = e4
% 23.42/6.14 | (392) ~ (all_0_4_4 = e4)
% 23.42/6.14 |
% 23.42/6.14 | Equations (797) can reduce 268 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Applying alpha-rule on (801) yields:
% 23.42/6.14 | (797) all_0_0_0 = e0
% 23.42/6.14 | (792) all_0_20_20 = e4
% 23.42/6.14 | (276) ~ (all_0_16_16 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Equations (797) can reduce 268 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (608) ~ (all_0_1_1 = e1)
% 23.42/6.14 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (91), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (418) all_0_12_12 = e1
% 23.42/6.14 |
% 23.42/6.14 | Equations (418) can reduce 422 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (422) ~ (all_0_12_12 = e1)
% 23.42/6.14 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (423), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (429) all_0_13_13 = e1
% 23.42/6.14 |
% 23.42/6.14 | Equations (429) can reduce 458 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.14 | (482) all_0_15_15 = e1
% 23.42/6.14 |
% 23.42/6.14 | Equations (482) can reduce 179 to:
% 23.42/6.14 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (1277), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (1290) all_0_9_9 = e1
% 23.42/6.14 |
% 23.42/6.14 | Equations (1290) can reduce 460 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (460) ~ (all_0_9_9 = e1)
% 23.42/6.14 | (1295) all_0_13_13 = e1 | all_0_17_17 = e1
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (1295), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (429) all_0_13_13 = e1
% 23.42/6.14 |
% 23.42/6.14 | Equations (429) can reduce 458 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (458) ~ (all_0_13_13 = e1)
% 23.42/6.14 | (1012) all_0_17_17 = e1
% 23.42/6.14 |
% 23.42/6.14 | Combining equations (1012,1820) yields a new equation:
% 23.42/6.14 | (560) e2 = e1
% 23.42/6.14 |
% 23.42/6.14 | Equations (560) can reduce 114 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Applying alpha-rule on (467) yields:
% 23.42/6.14 | (468) ~ (all_0_7_7 = e3)
% 23.42/6.14 | (405) ~ (all_0_16_16 = e3)
% 23.42/6.14 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.42/6.14 | (295) ~ (all_0_15_15 = e3)
% 23.42/6.14 | (472) ~ (all_0_12_12 = e3)
% 23.42/6.14 | (289) ~ (all_0_6_6 = e3)
% 23.42/6.14 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.42/6.14 | (475) ~ (unit = e3)
% 23.42/6.14 | (307) all_0_9_9 = e2
% 23.42/6.14 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.42/6.14 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.42/6.14 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.14 |
% 23.42/6.14 | Equations (307) can reduce 2398 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.42/6.14 |
% 23.42/6.14 | Applying alpha-rule on (481) yields:
% 23.42/6.14 | (482) all_0_15_15 = e1
% 23.42/6.14 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.42/6.14 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.42/6.14 | (329) ~ (all_0_9_9 = e0)
% 23.42/6.14 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.42/6.14 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.42/6.14 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.42/6.14 | (489) ~ (unit = e0)
% 23.42/6.14 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.42/6.14 | (491) ~ (all_0_5_5 = e0)
% 23.42/6.14 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.42/6.14 |
% 23.42/6.14 | Equations (267) can reduce 491 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.42/6.14 |
% 23.42/6.14 | Applying alpha-rule on (496) yields:
% 23.42/6.14 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.14 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.42/6.14 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.42/6.14 | (214) ~ (all_0_5_5 = e2)
% 23.42/6.14 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.42/6.14 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.42/6.14 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.42/6.14 | (213) ~ (all_0_3_3 = e2)
% 23.42/6.14 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.42/6.14 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.42/6.14 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.42/6.14 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.42/6.14 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.42/6.14 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.14 | (220) ~ (all_0_19_19 = e2)
% 23.42/6.14 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.14 | (216) ~ (all_0_7_7 = e2)
% 23.42/6.14 | (218) ~ (all_0_10_10 = e2)
% 23.42/6.14 | (227) ~ (all_0_13_13 = e2)
% 23.42/6.14 | (229) ~ (all_0_15_15 = e2)
% 23.42/6.14 | (313) ~ (all_0_11_11 = e2)
% 23.42/6.14 |
% 23.42/6.14 | Equations (1820) can reduce 315 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (491) ~ (all_0_5_5 = e0)
% 23.42/6.14 | (3098) all_0_7_7 = e0
% 23.42/6.14 |
% 23.42/6.14 | Equations (3098) can reduce 160 to:
% 23.42/6.14 | (344) ~ (all_0_4_4 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Equations (3098) can reduce 152 to:
% 23.42/6.14 | (491) ~ (all_0_5_5 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Equations (3098) can reduce 131 to:
% 23.42/6.14 | (2479) ~ (all_0_11_11 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Simplifying 2479 yields:
% 23.42/6.14 | (2480) ~ (all_0_11_11 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Equations (3098) can reduce 55 to:
% 23.42/6.14 | (348) ~ (all_0_20_20 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Simplifying 348 yields:
% 23.42/6.14 | (349) ~ (all_0_20_20 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Equations (3098) can reduce 147 to:
% 23.42/6.14 | (578) ~ (e1 = e0)
% 23.42/6.14 |
% 23.42/6.14 | Simplifying 578 yields:
% 23.42/6.14 | (109) ~ (e1 = e0)
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (182), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (722) all_0_5_5 = e2
% 23.42/6.14 |
% 23.42/6.14 | Equations (722) can reduce 214 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (214) ~ (all_0_5_5 = e2)
% 23.42/6.14 | (5877) all_0_5_5 = e3 | all_0_5_5 = e0
% 23.42/6.14 |
% 23.42/6.14 +-Applying beta-rule and splitting (5877), into two cases.
% 23.42/6.14 |-Branch one:
% 23.42/6.14 | (267) all_0_5_5 = e0
% 23.42/6.14 |
% 23.42/6.14 | Equations (267) can reduce 491 to:
% 23.42/6.14 | (243) $false
% 23.42/6.14 |
% 23.42/6.14 |-The branch is then unsatisfiable
% 23.42/6.14 |-Branch two:
% 23.42/6.14 | (491) ~ (all_0_5_5 = e0)
% 23.42/6.14 | (280) all_0_5_5 = e3
% 23.42/6.15 |
% 23.42/6.15 | Equations (280) can reduce 15 to:
% 23.42/6.15 | (414) ~ (all_0_0_0 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Equations (280) can reduce 125 to:
% 23.42/6.15 | (3106) ~ (all_0_8_8 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 3106 yields:
% 23.42/6.15 | (117) ~ (all_0_8_8 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Equations (280) can reduce 92 to:
% 23.42/6.15 | (3108) ~ (all_0_12_12 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 3108 yields:
% 23.42/6.15 | (472) ~ (all_0_12_12 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Equations (280) can reduce 76 to:
% 23.42/6.15 | (1883) ~ (all_0_16_16 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 1883 yields:
% 23.42/6.15 | (405) ~ (all_0_16_16 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Equations (280) can reduce 214 to:
% 23.42/6.15 | (183) ~ (e3 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Equations (280) can reduce 123 to:
% 23.42/6.15 | (111) ~ (e3 = e1)
% 23.42/6.15 |
% 23.42/6.15 | Equations (280) can reduce 491 to:
% 23.42/6.15 | (54) ~ (e3 = e0)
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (108), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (303) all_0_10_10 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (303) can reduce 218 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (218) ~ (all_0_10_10 = e2)
% 23.42/6.15 | (306) all_0_10_10 = e4 | all_0_10_10 = e1
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (171), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (299) all_0_13_13 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (299) can reduce 70 to:
% 23.42/6.15 | (308) ~ (all_0_1_1 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Equations (299) can reduce 88 to:
% 23.42/6.15 | (226) ~ (all_0_12_12 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Equations (299) can reduce 19 to:
% 23.42/6.15 | (314) ~ (all_0_17_17 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 314 yields:
% 23.42/6.15 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (186), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (732) all_0_12_12 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (732) can reduce 226 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (226) ~ (all_0_12_12 = e2)
% 23.42/6.15 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (129), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (413) all_0_12_12 = e3
% 23.42/6.15 |
% 23.42/6.15 | Equations (413) can reduce 472 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (472) ~ (all_0_12_12 = e3)
% 23.42/6.15 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (875), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (360) all_0_12_12 = e4
% 23.42/6.15 |
% 23.42/6.15 | Equations (360) can reduce 357 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (357) ~ (all_0_12_12 = e4)
% 23.42/6.15 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (899), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (418) all_0_12_12 = e1
% 23.42/6.15 |
% 23.42/6.15 | Equations (418) can reduce 80 to:
% 23.42/6.15 | (595) ~ (all_0_0_0 = e1)
% 23.42/6.15 |
% 23.42/6.15 | Equations (418) can reduce 174 to:
% 23.42/6.15 | (614) ~ (all_0_8_8 = e1)
% 23.42/6.15 |
% 23.42/6.15 | Equations (418) can reduce 36 to:
% 23.42/6.15 | (1997) ~ (all_0_15_15 = e1)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 1997 yields:
% 23.42/6.15 | (1154) ~ (all_0_15_15 = e1)
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (871), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (868) all_0_13_13 = e3
% 23.42/6.15 |
% 23.42/6.15 | Combining equations (299,868) yields a new equation:
% 23.42/6.15 | (287) e3 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (287) can reduce 183 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (416) ~ (all_0_13_13 = e3)
% 23.42/6.15 | (1216) all_0_15_15 = e3
% 23.42/6.15 |
% 23.42/6.15 | Equations (1216) can reduce 78 to:
% 23.42/6.15 | (291) ~ (all_0_4_4 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Equations (1216) can reduce 25 to:
% 23.42/6.15 | (30) ~ (all_0_11_11 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Equations (1216) can reduce 40 to:
% 23.42/6.15 | (296) ~ (all_0_20_20 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 296 yields:
% 23.42/6.15 | (297) ~ (all_0_20_20 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Equations (1216) can reduce 1154 to:
% 23.42/6.15 | (111) ~ (e3 = e1)
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (72), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (433), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (434), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (435), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.42/6.15 |
% 23.42/6.15 | Applying alpha-rule on (436) yields:
% 23.42/6.15 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.42/6.15 | (438) ~ (unit = e4)
% 23.42/6.15 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.42/6.15 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.42/6.15 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.42/6.15 | (442) ~ (all_0_15_15 = e4)
% 23.42/6.15 | (280) all_0_5_5 = e3
% 23.42/6.15 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.42/6.15 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.42/6.15 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.42/6.15 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.42/6.15 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (437), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (263) ~ (all_0_20_20 = e4)
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (18), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (523) all_0_20_20 = e1
% 23.42/6.15 |
% 23.42/6.15 | Equations (523) can reduce 26 to:
% 23.42/6.15 | (464) ~ (all_0_4_4 = e1)
% 23.42/6.15 |
% 23.42/6.15 | Equations (523) can reduce 45 to:
% 23.42/6.15 | (462) ~ (all_0_11_11 = e1)
% 23.42/6.15 |
% 23.42/6.15 | Equations (523) can reduce 197 to:
% 23.42/6.15 | (1015) ~ (all_0_17_17 = e1)
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (156), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (535) all_0_4_4 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (535) can reduce 625 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (625) ~ (all_0_4_4 = e2)
% 23.42/6.15 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (626), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (630) all_0_4_4 = e4
% 23.42/6.15 |
% 23.42/6.15 | Equations (630) can reduce 93 to:
% 23.42/6.15 | (1663) ~ (all_0_0_0 = e4)
% 23.42/6.15 |
% 23.42/6.15 | Equations (630) can reduce 82 to:
% 23.42/6.15 | (8609) ~ (all_0_11_11 = e4)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 8609 yields:
% 23.42/6.15 | (2559) ~ (all_0_11_11 = e4)
% 23.42/6.15 |
% 23.42/6.15 | Equations (630) can reduce 464 to:
% 23.42/6.15 | (207) ~ (e4 = e1)
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (59), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (1820) all_0_17_17 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (1820) can reduce 315 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.15 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (42), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (818) all_0_11_11 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (818) can reduce 7 to:
% 23.42/6.15 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Equations (818) can reduce 2559 to:
% 23.42/6.15 | (221) ~ (e4 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 221 yields:
% 23.42/6.15 | (194) ~ (e4 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Equations (818) can reduce 30 to:
% 23.42/6.15 | (232) ~ (e3 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 232 yields:
% 23.42/6.15 | (183) ~ (e3 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Equations (818) can reduce 462 to:
% 23.42/6.15 | (114) ~ (e2 = e1)
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (136), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (672) all_0_0_0 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (672) can reduce 536 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (536) ~ (all_0_0_0 = e2)
% 23.42/6.15 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (702), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (722) all_0_5_5 = e2
% 23.42/6.15 |
% 23.42/6.15 | Combining equations (722,280) yields a new equation:
% 23.42/6.15 | (287) e3 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (287) can reduce 183 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (214) ~ (all_0_5_5 = e2)
% 23.42/6.15 | (726) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (726), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (727) all_0_8_8 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (727) can reduce 309 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (309) ~ (all_0_8_8 = e2)
% 23.42/6.15 | (731) all_0_12_12 = e2 | all_0_16_16 = e2
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (731), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (732) all_0_12_12 = e2
% 23.42/6.15 |
% 23.42/6.15 | Combining equations (418,732) yields a new equation:
% 23.42/6.15 | (560) e2 = e1
% 23.42/6.15 |
% 23.42/6.15 | Equations (560) can reduce 114 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (226) ~ (all_0_12_12 = e2)
% 23.42/6.15 | (532) all_0_16_16 = e2
% 23.42/6.15 |
% 23.42/6.15 | Equations (532) can reduce 211 to:
% 23.42/6.15 | (314) ~ (all_0_17_17 = e2)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 314 yields:
% 23.42/6.15 | (315) ~ (all_0_17_17 = e2)
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (2810), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (1012) all_0_17_17 = e1
% 23.42/6.15 |
% 23.42/6.15 | Equations (1012) can reduce 1015 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (1015) ~ (all_0_17_17 = e1)
% 23.42/6.15 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 23.42/6.15 |
% 23.42/6.15 +-Applying beta-rule and splitting (2871), into two cases.
% 23.42/6.15 |-Branch one:
% 23.42/6.15 | (330) all_0_17_17 = e0
% 23.42/6.15 |
% 23.42/6.15 | Equations (330) can reduce 2482 to:
% 23.42/6.15 | (243) $false
% 23.42/6.15 |
% 23.42/6.15 |-The branch is then unsatisfiable
% 23.42/6.15 |-Branch two:
% 23.42/6.15 | (2482) ~ (all_0_17_17 = e0)
% 23.42/6.15 | (1181) all_0_17_17 = e3
% 23.42/6.15 |
% 23.42/6.15 | Equations (1181) can reduce 22 to:
% 23.42/6.15 | (4879) ~ (all_0_19_19 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Simplifying 4879 yields:
% 23.42/6.15 | (2877) ~ (all_0_19_19 = e3)
% 23.42/6.15 |
% 23.42/6.15 | Equations (1181) can reduce 315 to:
% 23.42/6.15 | (183) ~ (e3 = e2)
% 23.75/6.15 |
% 23.75/6.15 | Equations (1181) can reduce 1015 to:
% 23.75/6.15 | (111) ~ (e3 = e1)
% 23.75/6.15 |
% 23.75/6.15 +-Applying beta-rule and splitting (140), into two cases.
% 23.75/6.15 |-Branch one:
% 23.75/6.15 | (372) all_0_3_3 = e3
% 23.75/6.15 |
% 23.75/6.15 +-Applying beta-rule and splitting (63), into two cases.
% 23.75/6.15 |-Branch one:
% 23.75/6.15 | (1659) all_0_0_0 = e4
% 23.75/6.15 |
% 23.75/6.15 | Equations (1659) can reduce 1663 to:
% 23.75/6.15 | (243) $false
% 23.75/6.15 |
% 23.75/6.15 |-The branch is then unsatisfiable
% 23.75/6.15 |-Branch two:
% 23.75/6.15 | (1663) ~ (all_0_0_0 = e4)
% 23.75/6.15 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 23.75/6.15 |
% 23.75/6.15 +-Applying beta-rule and splitting (1678), into two cases.
% 23.75/6.15 |-Branch one:
% 23.75/6.15 | (353) all_0_8_8 = e4
% 23.75/6.15 |
% 23.75/6.15 | Equations (353) can reduce 614 to:
% 23.75/6.15 | (207) ~ (e4 = e1)
% 23.75/6.15 |
% 23.75/6.15 +-Applying beta-rule and splitting (107), into two cases.
% 23.75/6.15 |-Branch one:
% 23.75/6.15 | (538) all_0_0_0 = e1
% 23.75/6.15 |
% 23.75/6.15 | Equations (538) can reduce 595 to:
% 23.75/6.15 | (243) $false
% 23.75/6.15 |
% 23.75/6.15 |-The branch is then unsatisfiable
% 23.75/6.15 |-Branch two:
% 23.75/6.15 | (595) ~ (all_0_0_0 = e1)
% 23.75/6.15 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 23.75/6.15 |
% 23.75/6.15 +-Applying beta-rule and splitting (596), into two cases.
% 23.75/6.15 |-Branch one:
% 23.75/6.15 | (605) all_0_1_1 = e1
% 23.75/6.15 |
% 23.75/6.15 | Equations (605) can reduce 308 to:
% 23.75/6.15 | (530) ~ (e2 = e1)
% 23.75/6.15 |
% 23.75/6.15 | Simplifying 530 yields:
% 23.75/6.15 | (114) ~ (e2 = e1)
% 23.75/6.15 |
% 23.75/6.15 +-Applying beta-rule and splitting (439), into two cases.
% 23.75/6.15 |-Branch one:
% 23.75/6.15 | (256) ~ (all_0_14_14 = e4)
% 23.75/6.15 |
% 23.75/6.15 | Equations (252) can reduce 256 to:
% 23.75/6.15 | (243) $false
% 23.75/6.15 |
% 23.75/6.15 |-The branch is then unsatisfiable
% 23.75/6.15 |-Branch two:
% 23.75/6.15 | (252) all_0_14_14 = e4
% 23.75/6.15 | (732) all_0_12_12 = e2
% 23.75/6.15 |
% 23.75/6.15 | Combining equations (418,732) yields a new equation:
% 23.75/6.15 | (560) e2 = e1
% 23.75/6.15 |
% 23.75/6.15 | Equations (560) can reduce 114 to:
% 23.75/6.15 | (243) $false
% 23.75/6.15 |
% 23.75/6.15 |-The branch is then unsatisfiable
% 23.75/6.15 |-Branch two:
% 23.75/6.15 | (608) ~ (all_0_1_1 = e1)
% 23.75/6.15 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 23.75/6.15 |
% 23.75/6.15 +-Applying beta-rule and splitting (609), into two cases.
% 23.75/6.15 |-Branch one:
% 23.75/6.15 | (695) all_0_3_3 = e1
% 23.75/6.15 |
% 23.75/6.15 | Combining equations (695,372) yields a new equation:
% 23.75/6.15 | (420) e3 = e1
% 23.75/6.15 |
% 23.75/6.15 | Equations (420) can reduce 111 to:
% 23.75/6.15 | (243) $false
% 23.75/6.15 |
% 23.75/6.15 |-The branch is then unsatisfiable
% 23.75/6.15 |-Branch two:
% 23.75/6.15 | (698) ~ (all_0_3_3 = e1)
% 23.75/6.15 | (634) all_0_4_4 = e1
% 23.75/6.15 |
% 23.75/6.15 | Combining equations (630,634) yields a new equation:
% 23.75/6.15 | (493) e4 = e1
% 23.75/6.15 |
% 23.75/6.15 | Simplifying 493 yields:
% 23.75/6.15 | (494) e4 = e1
% 23.75/6.15 |
% 23.75/6.15 | Equations (494) can reduce 207 to:
% 23.75/6.15 | (243) $false
% 23.75/6.15 |
% 23.75/6.15 |-The branch is then unsatisfiable
% 23.75/6.15 |-Branch two:
% 23.75/6.15 | (1227) ~ (all_0_8_8 = e4)
% 23.75/6.15 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 23.75/6.15 |
% 23.75/6.15 +-Applying beta-rule and splitting (1695), into two cases.
% 23.75/6.15 |-Branch one:
% 23.75/6.15 | (360) all_0_12_12 = e4
% 23.75/6.15 |
% 23.75/6.15 | Combining equations (418,360) yields a new equation:
% 23.75/6.15 | (494) e4 = e1
% 23.75/6.15 |
% 23.75/6.15 | Equations (494) can reduce 207 to:
% 23.75/6.15 | (243) $false
% 23.75/6.15 |
% 23.75/6.15 |-The branch is then unsatisfiable
% 23.75/6.15 |-Branch two:
% 23.75/6.15 | (357) ~ (all_0_12_12 = e4)
% 23.75/6.15 | (1894) all_0_16_16 = e4
% 23.75/6.15 |
% 23.75/6.15 | Combining equations (532,1894) yields a new equation:
% 23.75/6.15 | (254) e4 = e2
% 23.75/6.15 |
% 23.75/6.15 | Equations (254) can reduce 194 to:
% 23.75/6.15 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (375) ~ (all_0_3_3 = e3)
% 23.75/6.16 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (376), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (286) all_0_6_6 = e3
% 23.75/6.16 |
% 23.75/6.16 | Combining equations (286,212) yields a new equation:
% 23.75/6.16 | (400) e3 = e2
% 23.75/6.16 |
% 23.75/6.16 | Simplifying 400 yields:
% 23.75/6.16 | (287) e3 = e2
% 23.75/6.16 |
% 23.75/6.16 | Equations (287) can reduce 183 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (289) ~ (all_0_6_6 = e3)
% 23.75/6.16 | (404) all_0_19_19 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (404) can reduce 2877 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (313) ~ (all_0_11_11 = e2)
% 23.75/6.16 | (2486) all_0_11_11 = e4 | all_0_11_11 = e1 | all_0_11_11 = e0
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (2486), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (2395) all_0_11_11 = e4
% 23.75/6.16 |
% 23.75/6.16 | Equations (2395) can reduce 2559 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (2559) ~ (all_0_11_11 = e4)
% 23.75/6.16 | (2560) all_0_11_11 = e1 | all_0_11_11 = e0
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (2560), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (1145) all_0_11_11 = e1
% 23.75/6.16 |
% 23.75/6.16 | Equations (1145) can reduce 462 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (462) ~ (all_0_11_11 = e1)
% 23.75/6.16 | (343) all_0_11_11 = e0
% 23.75/6.16 |
% 23.75/6.16 | Equations (343) can reduce 2480 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (392) ~ (all_0_4_4 = e4)
% 23.75/6.16 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (59), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (1820) all_0_17_17 = e2
% 23.75/6.16 |
% 23.75/6.16 | Equations (1820) can reduce 315 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (315) ~ (all_0_17_17 = e2)
% 23.75/6.16 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (2810), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (1012) all_0_17_17 = e1
% 23.75/6.16 |
% 23.75/6.16 | Equations (1012) can reduce 1015 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (1015) ~ (all_0_17_17 = e1)
% 23.75/6.16 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (633), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (634) all_0_4_4 = e1
% 23.75/6.16 |
% 23.75/6.16 | Equations (634) can reduce 464 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (464) ~ (all_0_4_4 = e1)
% 23.75/6.16 | (637) all_0_4_4 = e3 | all_0_4_4 = e0
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (2871), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (330) all_0_17_17 = e0
% 23.75/6.16 |
% 23.75/6.16 | Equations (330) can reduce 2482 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (2482) ~ (all_0_17_17 = e0)
% 23.75/6.16 | (1181) all_0_17_17 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (1181) can reduce 73 to:
% 23.75/6.16 | (842) ~ (all_0_1_1 = e3)
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (74), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (788) all_0_0_0 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (788) can reduce 414 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (414) ~ (all_0_0_0 = e3)
% 23.75/6.16 | (853) all_0_1_1 = e3 | all_0_3_3 = e3 | all_0_4_4 = e3
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (853), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (424) all_0_1_1 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (424) can reduce 842 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (842) ~ (all_0_1_1 = e3)
% 23.75/6.16 | (857) all_0_3_3 = e3 | all_0_4_4 = e3
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (140), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (372) all_0_3_3 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (372) can reduce 86 to:
% 23.75/6.16 | (426) ~ (all_0_4_4 = e3)
% 23.75/6.16 |
% 23.75/6.16 | Simplifying 426 yields:
% 23.75/6.16 | (291) ~ (all_0_4_4 = e3)
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (637), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (638) all_0_4_4 = e0
% 23.75/6.16 |
% 23.75/6.16 | Equations (638) can reduce 344 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (344) ~ (all_0_4_4 = e0)
% 23.75/6.16 | (641) all_0_4_4 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (641) can reduce 291 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (375) ~ (all_0_3_3 = e3)
% 23.75/6.16 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (857), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (372) all_0_3_3 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (372) can reduce 375 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (375) ~ (all_0_3_3 = e3)
% 23.75/6.16 | (641) all_0_4_4 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (641) can reduce 291 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.16 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (96), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (784) all_0_20_20 = e2
% 23.75/6.16 |
% 23.75/6.16 | Equations (784) can reduce 263 to:
% 23.75/6.16 | (221) ~ (e4 = e2)
% 23.75/6.16 |
% 23.75/6.16 | Simplifying 221 yields:
% 23.75/6.16 | (194) ~ (e4 = e2)
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (780), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (788) all_0_0_0 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (788) can reduce 414 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (414) ~ (all_0_0_0 = e3)
% 23.75/6.16 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (791), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.75/6.16 |
% 23.75/6.16 | Applying alpha-rule on (796) yields:
% 23.75/6.16 | (797) all_0_0_0 = e0
% 23.75/6.16 | (792) all_0_20_20 = e4
% 23.75/6.16 | (392) ~ (all_0_4_4 = e4)
% 23.75/6.16 |
% 23.75/6.16 | Combining equations (792,784) yields a new equation:
% 23.75/6.16 | (253) e4 = e2
% 23.75/6.16 |
% 23.75/6.16 | Simplifying 253 yields:
% 23.75/6.16 | (254) e4 = e2
% 23.75/6.16 |
% 23.75/6.16 | Equations (254) can reduce 194 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.75/6.16 |
% 23.75/6.16 | Applying alpha-rule on (801) yields:
% 23.75/6.16 | (797) all_0_0_0 = e0
% 23.75/6.16 | (792) all_0_20_20 = e4
% 23.75/6.16 | (276) ~ (all_0_16_16 = e0)
% 23.75/6.16 |
% 23.75/6.16 | Combining equations (792,784) yields a new equation:
% 23.75/6.16 | (253) e4 = e2
% 23.75/6.16 |
% 23.75/6.16 | Simplifying 253 yields:
% 23.75/6.16 | (254) e4 = e2
% 23.75/6.16 |
% 23.75/6.16 | Equations (254) can reduce 194 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (522) ~ (all_0_20_20 = e2)
% 23.75/6.16 | (787) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (787), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (792) all_0_20_20 = e4
% 23.75/6.16 |
% 23.75/6.16 | Equations (792) can reduce 263 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (263) ~ (all_0_20_20 = e4)
% 23.75/6.16 | (795) all_0_20_20 = e3 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (795), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (523) all_0_20_20 = e1
% 23.75/6.16 |
% 23.75/6.16 | Equations (523) can reduce 461 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.16 | (1491) all_0_20_20 = e3 | all_0_20_20 = e0
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (1491), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (1492) all_0_20_20 = e0
% 23.75/6.16 |
% 23.75/6.16 | Equations (1492) can reduce 349 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (349) ~ (all_0_20_20 = e0)
% 23.75/6.16 | (1495) all_0_20_20 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (1495) can reduce 297 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (792) all_0_20_20 = e4
% 23.75/6.16 | (1902) all_0_16_16 = e0
% 23.75/6.16 |
% 23.75/6.16 | Equations (1902) can reduce 276 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.75/6.16 |
% 23.75/6.16 | Applying alpha-rule on (452) yields:
% 23.75/6.16 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.75/6.16 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.75/6.16 | (422) ~ (all_0_12_12 = e1)
% 23.75/6.16 | (212) all_0_6_6 = e2
% 23.75/6.16 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.75/6.16 | (458) ~ (all_0_13_13 = e1)
% 23.75/6.16 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.75/6.16 | (460) ~ (all_0_9_9 = e1)
% 23.75/6.16 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.16 | (462) ~ (all_0_11_11 = e1)
% 23.75/6.16 | (463) ~ (unit = e1)
% 23.75/6.16 | (464) ~ (all_0_4_4 = e1)
% 23.75/6.16 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (418) can reduce 422 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.75/6.16 |
% 23.75/6.16 | Applying alpha-rule on (467) yields:
% 23.75/6.16 | (468) ~ (all_0_7_7 = e3)
% 23.75/6.16 | (405) ~ (all_0_16_16 = e3)
% 23.75/6.16 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.75/6.16 | (295) ~ (all_0_15_15 = e3)
% 23.75/6.16 | (472) ~ (all_0_12_12 = e3)
% 23.75/6.16 | (289) ~ (all_0_6_6 = e3)
% 23.75/6.16 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.75/6.16 | (475) ~ (unit = e3)
% 23.75/6.16 | (307) all_0_9_9 = e2
% 23.75/6.16 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.75/6.16 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.75/6.16 | (414) ~ (all_0_0_0 = e3)
% 23.75/6.16 |
% 23.75/6.16 | Equations (1216) can reduce 295 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.75/6.16 |
% 23.75/6.16 | Applying alpha-rule on (481) yields:
% 23.75/6.16 | (482) all_0_15_15 = e1
% 23.75/6.16 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.75/6.16 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.75/6.16 | (329) ~ (all_0_9_9 = e0)
% 23.75/6.16 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.75/6.16 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.75/6.16 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.75/6.16 | (489) ~ (unit = e0)
% 23.75/6.16 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.75/6.16 | (491) ~ (all_0_5_5 = e0)
% 23.75/6.16 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.75/6.16 |
% 23.75/6.16 | Combining equations (1216,482) yields a new equation:
% 23.75/6.16 | (419) e3 = e1
% 23.75/6.16 |
% 23.75/6.16 | Simplifying 419 yields:
% 23.75/6.16 | (420) e3 = e1
% 23.75/6.16 |
% 23.75/6.16 | Equations (420) can reduce 111 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.75/6.16 |
% 23.75/6.16 | Applying alpha-rule on (496) yields:
% 23.75/6.16 | (308) ~ (all_0_1_1 = e2)
% 23.75/6.16 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.75/6.16 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.75/6.16 | (214) ~ (all_0_5_5 = e2)
% 23.75/6.16 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.75/6.16 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.75/6.16 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.75/6.16 | (213) ~ (all_0_3_3 = e2)
% 23.75/6.16 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.75/6.16 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.75/6.16 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.75/6.16 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.75/6.16 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.75/6.16 | (309) ~ (all_0_8_8 = e2)
% 23.75/6.16 | (220) ~ (all_0_19_19 = e2)
% 23.75/6.16 | (315) ~ (all_0_17_17 = e2)
% 23.75/6.16 | (216) ~ (all_0_7_7 = e2)
% 23.75/6.16 | (218) ~ (all_0_10_10 = e2)
% 23.75/6.16 | (227) ~ (all_0_13_13 = e2)
% 23.75/6.16 | (229) ~ (all_0_15_15 = e2)
% 23.75/6.16 | (313) ~ (all_0_11_11 = e2)
% 23.75/6.16 |
% 23.75/6.16 | Equations (299) can reduce 227 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (422) ~ (all_0_12_12 = e1)
% 23.75/6.16 | (413) all_0_12_12 = e3
% 23.75/6.16 |
% 23.75/6.16 | Equations (413) can reduce 472 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (227) ~ (all_0_13_13 = e2)
% 23.75/6.16 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (75), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (732) all_0_12_12 = e2
% 23.75/6.16 |
% 23.75/6.16 | Equations (732) can reduce 80 to:
% 23.75/6.16 | (536) ~ (all_0_0_0 = e2)
% 23.75/6.16 |
% 23.75/6.16 | Equations (732) can reduce 174 to:
% 23.75/6.16 | (309) ~ (all_0_8_8 = e2)
% 23.75/6.16 |
% 23.75/6.16 | Equations (732) can reduce 88 to:
% 23.75/6.16 | (7959) ~ (all_0_13_13 = e2)
% 23.75/6.16 |
% 23.75/6.16 | Simplifying 7959 yields:
% 23.75/6.16 | (227) ~ (all_0_13_13 = e2)
% 23.75/6.16 |
% 23.75/6.16 | Equations (732) can reduce 189 to:
% 23.75/6.16 | (1540) ~ (all_0_16_16 = e2)
% 23.75/6.16 |
% 23.75/6.16 | Simplifying 1540 yields:
% 23.75/6.16 | (542) ~ (all_0_16_16 = e2)
% 23.75/6.16 |
% 23.75/6.16 | Equations (732) can reduce 210 to:
% 23.75/6.16 | (39) ~ (e2 = e0)
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (2), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (727) all_0_8_8 = e2
% 23.75/6.16 |
% 23.75/6.16 | Equations (727) can reduce 309 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.16 | (309) ~ (all_0_8_8 = e2)
% 23.75/6.16 | (2629) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 23.75/6.16 |
% 23.75/6.16 +-Applying beta-rule and splitting (29), into two cases.
% 23.75/6.16 |-Branch one:
% 23.75/6.16 | (741) all_0_1_1 = e2
% 23.75/6.16 |
% 23.75/6.16 | Equations (741) can reduce 308 to:
% 23.75/6.16 | (243) $false
% 23.75/6.16 |
% 23.75/6.16 |-The branch is then unsatisfiable
% 23.75/6.16 |-Branch two:
% 23.75/6.17 | (308) ~ (all_0_1_1 = e2)
% 23.75/6.17 | (2925) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (202), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (307) all_0_9_9 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (307) can reduce 110 to:
% 23.75/6.17 | (308) ~ (all_0_1_1 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (307) can reduce 56 to:
% 23.75/6.17 | (314) ~ (all_0_17_17 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 314 yields:
% 23.75/6.17 | (315) ~ (all_0_17_17 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (307) can reduce 127 to:
% 23.75/6.17 | (221) ~ (e4 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 221 yields:
% 23.75/6.17 | (194) ~ (e4 = e2)
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (176), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (322) all_0_1_1 = e0
% 23.75/6.17 |
% 23.75/6.17 | Equations (322) can reduce 308 to:
% 23.75/6.17 | (277) ~ (e2 = e0)
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 277 yields:
% 23.75/6.17 | (39) ~ (e2 = e0)
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (120), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (532) all_0_16_16 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (532) can reduce 542 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (542) ~ (all_0_16_16 = e2)
% 23.75/6.17 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (671), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (1820) all_0_17_17 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (1820) can reduce 315 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (315) ~ (all_0_17_17 = e2)
% 23.75/6.17 | (1824) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (1824), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (242) all_0_18_18 = e2
% 23.75/6.17 |
% 23.75/6.17 | Combining equations (242,832) yields a new equation:
% 23.75/6.17 | (339) e2 = e0
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 339 yields:
% 23.75/6.17 | (327) e2 = e0
% 23.75/6.17 |
% 23.75/6.17 | Equations (327) can reduce 39 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (231) ~ (all_0_18_18 = e2)
% 23.75/6.17 | (1837) all_0_19_19 = e2 | all_0_20_20 = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (1837), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (1262) all_0_19_19 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (1262) can reduce 220 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (220) ~ (all_0_19_19 = e2)
% 23.75/6.17 | (784) all_0_20_20 = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (18), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (523) all_0_20_20 = e1
% 23.75/6.17 |
% 23.75/6.17 | Combining equations (784,523) yields a new equation:
% 23.75/6.17 | (559) e2 = e1
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 559 yields:
% 23.75/6.17 | (560) e2 = e1
% 23.75/6.17 |
% 23.75/6.17 | Equations (560) can reduce 114 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.17 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (780), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (788) all_0_0_0 = e3
% 23.75/6.17 |
% 23.75/6.17 | Equations (788) can reduce 414 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (414) ~ (all_0_0_0 = e3)
% 23.75/6.17 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (791), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.75/6.17 |
% 23.75/6.17 | Applying alpha-rule on (796) yields:
% 23.75/6.17 | (797) all_0_0_0 = e0
% 23.75/6.17 | (792) all_0_20_20 = e4
% 23.75/6.17 | (392) ~ (all_0_4_4 = e4)
% 23.75/6.17 |
% 23.75/6.17 | Combining equations (784,792) yields a new equation:
% 23.75/6.17 | (254) e4 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (254) can reduce 194 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.75/6.17 |
% 23.75/6.17 | Applying alpha-rule on (801) yields:
% 23.75/6.17 | (797) all_0_0_0 = e0
% 23.75/6.17 | (792) all_0_20_20 = e4
% 23.75/6.17 | (276) ~ (all_0_16_16 = e0)
% 23.75/6.17 |
% 23.75/6.17 | Combining equations (784,792) yields a new equation:
% 23.75/6.17 | (254) e4 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (254) can reduce 194 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (237) ~ (all_0_1_1 = e0)
% 23.75/6.17 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (325), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (326) all_0_9_9 = e0
% 23.75/6.17 |
% 23.75/6.17 | Combining equations (307,326) yields a new equation:
% 23.75/6.17 | (339) e2 = e0
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 339 yields:
% 23.75/6.17 | (327) e2 = e0
% 23.75/6.17 |
% 23.75/6.17 | Equations (327) can reduce 39 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (329) ~ (all_0_9_9 = e0)
% 23.75/6.17 | (330) all_0_17_17 = e0
% 23.75/6.17 |
% 23.75/6.17 | Equations (330) can reduce 2482 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (2398) ~ (all_0_9_9 = e2)
% 23.75/6.17 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (2629), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (307) all_0_9_9 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (307) can reduce 2398 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (2398) ~ (all_0_9_9 = e2)
% 23.75/6.17 | (2633) all_0_10_10 = e2 | all_0_11_11 = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (2633), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (303) all_0_10_10 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (303) can reduce 218 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (218) ~ (all_0_10_10 = e2)
% 23.75/6.17 | (818) all_0_11_11 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (818) can reduce 7 to:
% 23.75/6.17 | (309) ~ (all_0_8_8 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (818) can reduce 14 to:
% 23.75/6.17 | (2398) ~ (all_0_9_9 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (818) can reduce 155 to:
% 23.75/6.17 | (218) ~ (all_0_10_10 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (818) can reduce 25 to:
% 23.75/6.17 | (228) ~ (all_0_15_15 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 228 yields:
% 23.75/6.17 | (229) ~ (all_0_15_15 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (818) can reduce 30 to:
% 23.75/6.17 | (232) ~ (e3 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 232 yields:
% 23.75/6.17 | (183) ~ (e3 = e2)
% 23.75/6.17 |
% 23.75/6.17 | From (818) and (98) follows:
% 23.75/6.17 | (581) op(e2, e0) = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (2925), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (307) all_0_9_9 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (307) can reduce 2398 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (2398) ~ (all_0_9_9 = e2)
% 23.75/6.17 | (3258) all_0_13_13 = e2 | all_0_17_17 = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (3258), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (299) all_0_13_13 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (299) can reduce 227 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (227) ~ (all_0_13_13 = e2)
% 23.75/6.17 | (1820) all_0_17_17 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (1820) can reduce 73 to:
% 23.75/6.17 | (308) ~ (all_0_1_1 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (1820) can reduce 56 to:
% 23.75/6.17 | (2398) ~ (all_0_9_9 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (1820) can reduce 211 to:
% 23.75/6.17 | (542) ~ (all_0_16_16 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (1820) can reduce 197 to:
% 23.75/6.17 | (782) ~ (all_0_20_20 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 782 yields:
% 23.75/6.17 | (522) ~ (all_0_20_20 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (1820) can reduce 163 to:
% 23.75/6.17 | (221) ~ (e4 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 221 yields:
% 23.75/6.17 | (194) ~ (e4 = e2)
% 23.75/6.17 |
% 23.75/6.17 | Equations (1820) can reduce 2482 to:
% 23.75/6.17 | (39) ~ (e2 = e0)
% 23.75/6.17 |
% 23.75/6.17 | From (1820) and (208) follows:
% 23.75/6.17 | (8977) op(e0, e3) = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (91), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (418) all_0_12_12 = e1
% 23.75/6.17 |
% 23.75/6.17 | Combining equations (732,418) yields a new equation:
% 23.75/6.17 | (559) e2 = e1
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 559 yields:
% 23.75/6.17 | (560) e2 = e1
% 23.75/6.17 |
% 23.75/6.17 | Equations (560) can reduce 114 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (422) ~ (all_0_12_12 = e1)
% 23.75/6.17 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 23.75/6.17 |
% 23.75/6.17 | Equations (732) can reduce 422 to:
% 23.75/6.17 | (114) ~ (e2 = e1)
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (176), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (322) all_0_1_1 = e0
% 23.75/6.17 |
% 23.75/6.17 | Equations (322) can reduce 110 to:
% 23.75/6.17 | (7572) ~ (all_0_9_9 = e0)
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 7572 yields:
% 23.75/6.17 | (329) ~ (all_0_9_9 = e0)
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (18), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (523) all_0_20_20 = e1
% 23.75/6.17 |
% 23.75/6.17 | Equations (523) can reduce 40 to:
% 23.75/6.17 | (1154) ~ (all_0_15_15 = e1)
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (161), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (424) all_0_1_1 = e3
% 23.75/6.17 |
% 23.75/6.17 | Combining equations (424,322) yields a new equation:
% 23.75/6.17 | (281) e3 = e0
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 281 yields:
% 23.75/6.17 | (282) e3 = e0
% 23.75/6.17 |
% 23.75/6.17 | Equations (282) can reduce 54 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (842) ~ (all_0_1_1 = e3)
% 23.75/6.17 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (843), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (868) all_0_13_13 = e3
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (423), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (429) all_0_13_13 = e1
% 23.75/6.17 |
% 23.75/6.17 | Combining equations (868,429) yields a new equation:
% 23.75/6.17 | (419) e3 = e1
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 419 yields:
% 23.75/6.17 | (420) e3 = e1
% 23.75/6.17 |
% 23.75/6.17 | Equations (420) can reduce 111 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (458) ~ (all_0_13_13 = e1)
% 23.75/6.17 | (482) all_0_15_15 = e1
% 23.75/6.17 |
% 23.75/6.17 | Equations (482) can reduce 1154 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (416) ~ (all_0_13_13 = e3)
% 23.75/6.17 | (1181) all_0_17_17 = e3
% 23.75/6.17 |
% 23.75/6.17 | Combining equations (1181,1820) yields a new equation:
% 23.75/6.17 | (400) e3 = e2
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 400 yields:
% 23.75/6.17 | (287) e3 = e2
% 23.75/6.17 |
% 23.75/6.17 | Equations (287) can reduce 183 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.17 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (2399), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (1290) all_0_9_9 = e1
% 23.75/6.17 |
% 23.75/6.17 | Equations (1290) can reduce 2398 to:
% 23.75/6.17 | (530) ~ (e2 = e1)
% 23.75/6.17 |
% 23.75/6.17 | Simplifying 530 yields:
% 23.75/6.17 | (114) ~ (e2 = e1)
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (72), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (433), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (434), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (435), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.75/6.17 |
% 23.75/6.17 | Applying alpha-rule on (436) yields:
% 23.75/6.17 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.75/6.17 | (438) ~ (unit = e4)
% 23.75/6.17 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.75/6.17 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.75/6.17 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.75/6.17 | (442) ~ (all_0_15_15 = e4)
% 23.75/6.17 | (280) all_0_5_5 = e3
% 23.75/6.17 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.75/6.17 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.75/6.17 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.75/6.17 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.75/6.17 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (437), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (263) ~ (all_0_20_20 = e4)
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (780), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (788) all_0_0_0 = e3
% 23.75/6.17 |
% 23.75/6.17 | Equations (788) can reduce 414 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (414) ~ (all_0_0_0 = e3)
% 23.75/6.17 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.75/6.17 |
% 23.75/6.17 +-Applying beta-rule and splitting (791), into two cases.
% 23.75/6.17 |-Branch one:
% 23.75/6.17 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.75/6.17 |
% 23.75/6.17 | Applying alpha-rule on (796) yields:
% 23.75/6.17 | (797) all_0_0_0 = e0
% 23.75/6.17 | (792) all_0_20_20 = e4
% 23.75/6.17 | (392) ~ (all_0_4_4 = e4)
% 23.75/6.17 |
% 23.75/6.17 | Equations (792) can reduce 263 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.17 |-Branch two:
% 23.75/6.17 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.75/6.17 |
% 23.75/6.17 | Applying alpha-rule on (801) yields:
% 23.75/6.17 | (797) all_0_0_0 = e0
% 23.75/6.17 | (792) all_0_20_20 = e4
% 23.75/6.17 | (276) ~ (all_0_16_16 = e0)
% 23.75/6.17 |
% 23.75/6.17 | Equations (792) can reduce 263 to:
% 23.75/6.17 | (243) $false
% 23.75/6.17 |
% 23.75/6.17 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (792) all_0_20_20 = e4
% 23.75/6.18 | (1902) all_0_16_16 = e0
% 23.75/6.18 |
% 23.75/6.18 | Equations (1902) can reduce 276 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.75/6.18 |
% 23.75/6.18 | Applying alpha-rule on (452) yields:
% 23.75/6.18 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.75/6.18 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.75/6.18 | (422) ~ (all_0_12_12 = e1)
% 23.75/6.18 | (212) all_0_6_6 = e2
% 23.75/6.18 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.75/6.18 | (458) ~ (all_0_13_13 = e1)
% 23.75/6.18 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.75/6.18 | (460) ~ (all_0_9_9 = e1)
% 23.75/6.18 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.18 | (462) ~ (all_0_11_11 = e1)
% 23.75/6.18 | (463) ~ (unit = e1)
% 23.75/6.18 | (464) ~ (all_0_4_4 = e1)
% 23.75/6.18 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.75/6.18 |
% 23.75/6.18 | Equations (1290) can reduce 460 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Applying alpha-rule on (467) yields:
% 23.75/6.18 | (468) ~ (all_0_7_7 = e3)
% 23.75/6.18 | (405) ~ (all_0_16_16 = e3)
% 23.75/6.18 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.75/6.18 | (295) ~ (all_0_15_15 = e3)
% 23.75/6.18 | (472) ~ (all_0_12_12 = e3)
% 23.75/6.18 | (289) ~ (all_0_6_6 = e3)
% 23.75/6.18 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.75/6.18 | (475) ~ (unit = e3)
% 23.75/6.18 | (307) all_0_9_9 = e2
% 23.75/6.18 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.75/6.18 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.75/6.18 | (414) ~ (all_0_0_0 = e3)
% 23.75/6.18 |
% 23.75/6.18 | Combining equations (1290,307) yields a new equation:
% 23.75/6.18 | (560) e2 = e1
% 23.75/6.18 |
% 23.75/6.18 | Equations (560) can reduce 114 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.75/6.18 |
% 23.75/6.18 | Applying alpha-rule on (481) yields:
% 23.75/6.18 | (482) all_0_15_15 = e1
% 23.75/6.18 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.75/6.18 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.75/6.18 | (329) ~ (all_0_9_9 = e0)
% 23.75/6.18 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.75/6.18 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.75/6.18 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.75/6.18 | (489) ~ (unit = e0)
% 23.75/6.18 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.75/6.18 | (491) ~ (all_0_5_5 = e0)
% 23.75/6.18 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (492), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (2539) ~ (all_0_18_18 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Equations (832) can reduce 2539 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (832) all_0_18_18 = e0
% 23.75/6.18 | (784) all_0_20_20 = e2
% 23.75/6.18 |
% 23.75/6.18 | Equations (784) can reduce 522 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.75/6.18 |
% 23.75/6.18 | Applying alpha-rule on (496) yields:
% 23.75/6.18 | (308) ~ (all_0_1_1 = e2)
% 23.75/6.18 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.75/6.18 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.75/6.18 | (214) ~ (all_0_5_5 = e2)
% 23.75/6.18 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.75/6.18 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.75/6.18 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.75/6.18 | (213) ~ (all_0_3_3 = e2)
% 23.75/6.18 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.75/6.18 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.75/6.18 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.75/6.18 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.75/6.18 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.75/6.18 | (309) ~ (all_0_8_8 = e2)
% 23.75/6.18 | (220) ~ (all_0_19_19 = e2)
% 23.75/6.18 | (315) ~ (all_0_17_17 = e2)
% 23.75/6.18 | (216) ~ (all_0_7_7 = e2)
% 23.75/6.18 | (218) ~ (all_0_10_10 = e2)
% 23.75/6.18 | (227) ~ (all_0_13_13 = e2)
% 23.75/6.18 | (229) ~ (all_0_15_15 = e2)
% 23.75/6.18 | (313) ~ (all_0_11_11 = e2)
% 23.75/6.18 |
% 23.75/6.18 | Equations (1820) can reduce 315 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (460) ~ (all_0_9_9 = e1)
% 23.75/6.18 | (326) all_0_9_9 = e0
% 23.75/6.18 |
% 23.75/6.18 | Equations (326) can reduce 329 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (237) ~ (all_0_1_1 = e0)
% 23.75/6.18 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (325), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (326) all_0_9_9 = e0
% 23.75/6.18 |
% 23.75/6.18 | Equations (326) can reduce 110 to:
% 23.75/6.18 | (237) ~ (all_0_1_1 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Equations (326) can reduce 60 to:
% 23.75/6.18 | (2647) ~ (all_0_10_10 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 2647 yields:
% 23.75/6.18 | (144) ~ (all_0_10_10 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Equations (326) can reduce 137 to:
% 23.75/6.18 | (6379) ~ (all_0_13_13 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 6379 yields:
% 23.75/6.18 | (21) ~ (all_0_13_13 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Equations (326) can reduce 2398 to:
% 23.75/6.18 | (277) ~ (e2 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 277 yields:
% 23.75/6.18 | (39) ~ (e2 = e0)
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (99), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (797) all_0_0_0 = e0
% 23.75/6.18 |
% 23.75/6.18 | Equations (797) can reduce 188 to:
% 23.75/6.18 | (275) ~ (all_0_16_16 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 275 yields:
% 23.75/6.18 | (276) ~ (all_0_16_16 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Equations (797) can reduce 414 to:
% 23.75/6.18 | (240) ~ (e3 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 240 yields:
% 23.75/6.18 | (54) ~ (e3 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Equations (797) can reduce 536 to:
% 23.75/6.18 | (277) ~ (e2 = e0)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 277 yields:
% 23.75/6.18 | (39) ~ (e2 = e0)
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (49), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (353) all_0_8_8 = e4
% 23.75/6.18 |
% 23.75/6.18 | Equations (353) can reduce 38 to:
% 23.75/6.18 | (354) ~ (all_0_10_10 = e4)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 354 yields:
% 23.75/6.18 | (355) ~ (all_0_10_10 = e4)
% 23.75/6.18 |
% 23.75/6.18 | Equations (353) can reduce 117 to:
% 23.75/6.18 | (23) ~ (e4 = e3)
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (37), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (538) all_0_0_0 = e1
% 23.75/6.18 |
% 23.75/6.18 | Combining equations (538,797) yields a new equation:
% 23.75/6.18 | (587) e1 = e0
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 587 yields:
% 23.75/6.18 | (561) e1 = e0
% 23.75/6.18 |
% 23.75/6.18 | Equations (561) can reduce 109 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (595) ~ (all_0_0_0 = e1)
% 23.75/6.18 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (600), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (611) all_0_8_8 = e1
% 23.75/6.18 |
% 23.75/6.18 | Combining equations (353,611) yields a new equation:
% 23.75/6.18 | (493) e4 = e1
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 493 yields:
% 23.75/6.18 | (494) e4 = e1
% 23.75/6.18 |
% 23.75/6.18 | Equations (494) can reduce 207 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (614) ~ (all_0_8_8 = e1)
% 23.75/6.18 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (306), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (377) all_0_10_10 = e4
% 23.75/6.18 |
% 23.75/6.18 | Equations (377) can reduce 355 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (355) ~ (all_0_10_10 = e4)
% 23.75/6.18 | (380) all_0_10_10 = e1
% 23.75/6.18 |
% 23.75/6.18 | Equations (380) can reduce 87 to:
% 23.75/6.18 | (698) ~ (all_0_3_3 = e1)
% 23.75/6.18 |
% 23.75/6.18 | Equations (380) can reduce 218 to:
% 23.75/6.18 | (530) ~ (e2 = e1)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 530 yields:
% 23.75/6.18 | (114) ~ (e2 = e1)
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (615), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (418) all_0_12_12 = e1
% 23.75/6.18 |
% 23.75/6.18 | Combining equations (732,418) yields a new equation:
% 23.75/6.18 | (559) e2 = e1
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 559 yields:
% 23.75/6.18 | (560) e2 = e1
% 23.75/6.18 |
% 23.75/6.18 | Equations (560) can reduce 114 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (422) ~ (all_0_12_12 = e1)
% 23.75/6.18 | (621) all_0_16_16 = e1
% 23.75/6.18 |
% 23.75/6.18 | Equations (621) can reduce 81 to:
% 23.75/6.18 | (2079) ~ (all_0_20_20 = e1)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 2079 yields:
% 23.75/6.18 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.18 |
% 23.75/6.18 | Equations (621) can reduce 405 to:
% 23.75/6.18 | (528) ~ (e3 = e1)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 528 yields:
% 23.75/6.18 | (111) ~ (e3 = e1)
% 23.75/6.18 |
% 23.75/6.18 | Equations (621) can reduce 276 to:
% 23.75/6.18 | (109) ~ (e1 = e0)
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (18), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (523) all_0_20_20 = e1
% 23.75/6.18 |
% 23.75/6.18 | Equations (523) can reduce 461 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.18 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (780), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (788) all_0_0_0 = e3
% 23.75/6.18 |
% 23.75/6.18 | Combining equations (788,797) yields a new equation:
% 23.75/6.18 | (281) e3 = e0
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 281 yields:
% 23.75/6.18 | (282) e3 = e0
% 23.75/6.18 |
% 23.75/6.18 | Equations (282) can reduce 54 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (414) ~ (all_0_0_0 = e3)
% 23.75/6.18 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (791), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.75/6.18 |
% 23.75/6.18 | Applying alpha-rule on (796) yields:
% 23.75/6.18 | (797) all_0_0_0 = e0
% 23.75/6.18 | (792) all_0_20_20 = e4
% 23.75/6.18 | (392) ~ (all_0_4_4 = e4)
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (115), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (364) all_0_3_3 = e4
% 23.75/6.18 |
% 23.75/6.18 | Equations (364) can reduce 135 to:
% 23.75/6.18 | (260) ~ (all_0_19_19 = e4)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 260 yields:
% 23.75/6.18 | (261) ~ (all_0_19_19 = e4)
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (140), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (372) all_0_3_3 = e3
% 23.75/6.18 |
% 23.75/6.18 | Combining equations (364,372) yields a new equation:
% 23.75/6.18 | (1217) e4 = e3
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 1217 yields:
% 23.75/6.18 | (373) e4 = e3
% 23.75/6.18 |
% 23.75/6.18 | Equations (373) can reduce 23 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (375) ~ (all_0_3_3 = e3)
% 23.75/6.18 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (376), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (286) all_0_6_6 = e3
% 23.75/6.18 |
% 23.75/6.18 | Combining equations (212,286) yields a new equation:
% 23.75/6.18 | (287) e3 = e2
% 23.75/6.18 |
% 23.75/6.18 | Equations (287) can reduce 183 to:
% 23.75/6.18 | (243) $false
% 23.75/6.18 |
% 23.75/6.18 |-The branch is then unsatisfiable
% 23.75/6.18 |-Branch two:
% 23.75/6.18 | (289) ~ (all_0_6_6 = e3)
% 23.75/6.18 | (404) all_0_19_19 = e3
% 23.75/6.18 |
% 23.75/6.18 | Equations (404) can reduce 261 to:
% 23.75/6.18 | (408) ~ (e4 = e3)
% 23.75/6.18 |
% 23.75/6.18 | Simplifying 408 yields:
% 23.75/6.18 | (23) ~ (e4 = e3)
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (72), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (433), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (434), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.75/6.18 |
% 23.75/6.18 +-Applying beta-rule and splitting (435), into two cases.
% 23.75/6.18 |-Branch one:
% 23.75/6.18 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.75/6.19 |
% 23.75/6.19 | Applying alpha-rule on (436) yields:
% 23.75/6.19 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.75/6.19 | (438) ~ (unit = e4)
% 23.75/6.19 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.75/6.19 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.75/6.19 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.75/6.19 | (442) ~ (all_0_15_15 = e4)
% 23.75/6.19 | (280) all_0_5_5 = e3
% 23.75/6.19 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.75/6.19 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.75/6.19 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.75/6.19 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.75/6.19 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (437), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (263) ~ (all_0_20_20 = e4)
% 23.75/6.19 |
% 23.75/6.19 | Equations (792) can reduce 263 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (792) all_0_20_20 = e4
% 23.75/6.19 | (1902) all_0_16_16 = e0
% 23.75/6.19 |
% 23.75/6.19 | Combining equations (621,1902) yields a new equation:
% 23.75/6.19 | (587) e1 = e0
% 23.75/6.19 |
% 23.75/6.19 | Simplifying 587 yields:
% 23.75/6.19 | (561) e1 = e0
% 23.75/6.19 |
% 23.75/6.19 | Equations (561) can reduce 109 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.75/6.19 |
% 23.75/6.19 | Applying alpha-rule on (452) yields:
% 23.75/6.19 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.75/6.19 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.75/6.19 | (422) ~ (all_0_12_12 = e1)
% 23.75/6.19 | (212) all_0_6_6 = e2
% 23.75/6.19 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.75/6.19 | (458) ~ (all_0_13_13 = e1)
% 23.75/6.19 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.75/6.19 | (460) ~ (all_0_9_9 = e1)
% 23.75/6.19 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.19 | (462) ~ (all_0_11_11 = e1)
% 23.75/6.19 | (463) ~ (unit = e1)
% 23.75/6.19 | (464) ~ (all_0_4_4 = e1)
% 23.75/6.19 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (453), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (525) ~ (all_0_16_16 = e1)
% 23.75/6.19 |
% 23.75/6.19 | Equations (621) can reduce 525 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (621) all_0_16_16 = e1
% 23.75/6.19 | (1225) all_0_19_19 = e4
% 23.75/6.19 |
% 23.75/6.19 | Combining equations (404,1225) yields a new equation:
% 23.75/6.19 | (373) e4 = e3
% 23.75/6.19 |
% 23.75/6.19 | Equations (373) can reduce 23 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.75/6.19 |
% 23.75/6.19 | Applying alpha-rule on (467) yields:
% 23.75/6.19 | (468) ~ (all_0_7_7 = e3)
% 23.75/6.19 | (405) ~ (all_0_16_16 = e3)
% 23.75/6.19 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.75/6.19 | (295) ~ (all_0_15_15 = e3)
% 23.75/6.19 | (472) ~ (all_0_12_12 = e3)
% 23.75/6.19 | (289) ~ (all_0_6_6 = e3)
% 23.75/6.19 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.75/6.19 | (475) ~ (unit = e3)
% 23.75/6.19 | (307) all_0_9_9 = e2
% 23.75/6.19 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.75/6.19 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.75/6.19 | (414) ~ (all_0_0_0 = e3)
% 23.75/6.19 |
% 23.75/6.19 | Combining equations (307,326) yields a new equation:
% 23.75/6.19 | (339) e2 = e0
% 23.75/6.19 |
% 23.75/6.19 | Simplifying 339 yields:
% 23.75/6.19 | (327) e2 = e0
% 23.75/6.19 |
% 23.75/6.19 | Equations (327) can reduce 39 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.75/6.19 |
% 23.75/6.19 | Applying alpha-rule on (481) yields:
% 23.75/6.19 | (482) all_0_15_15 = e1
% 23.75/6.19 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.75/6.19 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.75/6.19 | (329) ~ (all_0_9_9 = e0)
% 23.75/6.19 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.75/6.19 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.75/6.19 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.75/6.19 | (489) ~ (unit = e0)
% 23.75/6.19 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.75/6.19 | (491) ~ (all_0_5_5 = e0)
% 23.75/6.19 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.75/6.19 |
% 23.75/6.19 | Equations (326) can reduce 329 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.75/6.19 |
% 23.75/6.19 | Applying alpha-rule on (496) yields:
% 23.75/6.19 | (308) ~ (all_0_1_1 = e2)
% 23.75/6.19 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.75/6.19 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.75/6.19 | (214) ~ (all_0_5_5 = e2)
% 23.75/6.19 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.75/6.19 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.75/6.19 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.75/6.19 | (213) ~ (all_0_3_3 = e2)
% 23.75/6.19 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.75/6.19 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.75/6.19 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.75/6.19 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.75/6.19 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.75/6.19 | (309) ~ (all_0_8_8 = e2)
% 23.75/6.19 | (220) ~ (all_0_19_19 = e2)
% 23.75/6.19 | (315) ~ (all_0_17_17 = e2)
% 23.75/6.19 | (216) ~ (all_0_7_7 = e2)
% 23.75/6.19 | (218) ~ (all_0_10_10 = e2)
% 23.75/6.19 | (227) ~ (all_0_13_13 = e2)
% 23.75/6.19 | (229) ~ (all_0_15_15 = e2)
% 23.75/6.19 | (313) ~ (all_0_11_11 = e2)
% 23.75/6.19 |
% 23.75/6.19 | Equations (1820) can reduce 315 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (1220) ~ (all_0_3_3 = e4)
% 23.75/6.19 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (148), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (1202) all_0_16_16 = e3
% 23.75/6.19 |
% 23.75/6.19 | Combining equations (621,1202) yields a new equation:
% 23.75/6.19 | (420) e3 = e1
% 23.75/6.19 |
% 23.75/6.19 | Equations (420) can reduce 111 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (405) ~ (all_0_16_16 = e3)
% 23.75/6.19 | (2211) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (64), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (755) all_0_3_3 = e2
% 23.75/6.19 |
% 23.75/6.19 | Equations (755) can reduce 213 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (213) ~ (all_0_3_3 = e2)
% 23.75/6.19 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (2070), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (364) all_0_3_3 = e4
% 23.75/6.19 |
% 23.75/6.19 | Equations (364) can reduce 1220 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (1220) ~ (all_0_3_3 = e4)
% 23.75/6.19 | (2377) all_0_3_3 = e3 | all_0_3_3 = e1
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (2377), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (695) all_0_3_3 = e1
% 23.75/6.19 |
% 23.75/6.19 | Equations (695) can reduce 698 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (698) ~ (all_0_3_3 = e1)
% 23.75/6.19 | (372) all_0_3_3 = e3
% 23.75/6.19 |
% 23.75/6.19 | Equations (372) can reduce 135 to:
% 23.75/6.19 | (4879) ~ (all_0_19_19 = e3)
% 23.75/6.19 |
% 23.75/6.19 | Simplifying 4879 yields:
% 23.75/6.19 | (2877) ~ (all_0_19_19 = e3)
% 23.75/6.19 |
% 23.75/6.19 | Equations (372) can reduce 1220 to:
% 23.75/6.19 | (408) ~ (e4 = e3)
% 23.75/6.19 |
% 23.75/6.19 | Simplifying 408 yields:
% 23.75/6.19 | (23) ~ (e4 = e3)
% 23.75/6.19 |
% 23.75/6.19 | Equations (372) can reduce 213 to:
% 23.75/6.19 | (183) ~ (e3 = e2)
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (2211), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (1181) all_0_17_17 = e3
% 23.75/6.19 |
% 23.75/6.19 | Combining equations (1820,1181) yields a new equation:
% 23.75/6.19 | (287) e3 = e2
% 23.75/6.19 |
% 23.75/6.19 | Equations (287) can reduce 183 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (2752) ~ (all_0_17_17 = e3)
% 23.75/6.19 | (2803) all_0_19_19 = e3 | all_0_20_20 = e3
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (2803), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (404) all_0_19_19 = e3
% 23.75/6.19 |
% 23.75/6.19 | Equations (404) can reduce 2877 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (2877) ~ (all_0_19_19 = e3)
% 23.75/6.19 | (1495) all_0_20_20 = e3
% 23.75/6.19 |
% 23.75/6.19 | Combining equations (1495,792) yields a new equation:
% 23.75/6.19 | (373) e4 = e3
% 23.75/6.19 |
% 23.75/6.19 | Equations (373) can reduce 23 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.75/6.19 |
% 23.75/6.19 | Applying alpha-rule on (801) yields:
% 23.75/6.19 | (797) all_0_0_0 = e0
% 23.75/6.19 | (792) all_0_20_20 = e4
% 23.75/6.19 | (276) ~ (all_0_16_16 = e0)
% 23.75/6.19 |
% 23.75/6.19 | Equations (621) can reduce 276 to:
% 23.75/6.19 | (109) ~ (e1 = e0)
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (115), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (364) all_0_3_3 = e4
% 23.75/6.19 |
% 23.75/6.19 | Equations (364) can reduce 135 to:
% 23.75/6.19 | (260) ~ (all_0_19_19 = e4)
% 23.75/6.19 |
% 23.75/6.19 | Simplifying 260 yields:
% 23.75/6.19 | (261) ~ (all_0_19_19 = e4)
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (140), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (372) all_0_3_3 = e3
% 23.75/6.19 |
% 23.75/6.19 | Combining equations (364,372) yields a new equation:
% 23.75/6.19 | (1217) e4 = e3
% 23.75/6.19 |
% 23.75/6.19 | Simplifying 1217 yields:
% 23.75/6.19 | (373) e4 = e3
% 23.75/6.19 |
% 23.75/6.19 | Equations (373) can reduce 23 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (375) ~ (all_0_3_3 = e3)
% 23.75/6.19 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (376), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (286) all_0_6_6 = e3
% 23.75/6.19 |
% 23.75/6.19 | Combining equations (212,286) yields a new equation:
% 23.75/6.19 | (287) e3 = e2
% 23.75/6.19 |
% 23.75/6.19 | Equations (287) can reduce 183 to:
% 23.75/6.19 | (243) $false
% 23.75/6.19 |
% 23.75/6.19 |-The branch is then unsatisfiable
% 23.75/6.19 |-Branch two:
% 23.75/6.19 | (289) ~ (all_0_6_6 = e3)
% 23.75/6.19 | (404) all_0_19_19 = e3
% 23.75/6.19 |
% 23.75/6.19 | Equations (404) can reduce 261 to:
% 23.75/6.19 | (408) ~ (e4 = e3)
% 23.75/6.19 |
% 23.75/6.19 | Simplifying 408 yields:
% 23.75/6.19 | (23) ~ (e4 = e3)
% 23.75/6.19 |
% 23.75/6.19 +-Applying beta-rule and splitting (72), into two cases.
% 23.75/6.19 |-Branch one:
% 23.75/6.19 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.75/6.20 |
% 23.75/6.20 +-Applying beta-rule and splitting (433), into two cases.
% 23.75/6.20 |-Branch one:
% 23.75/6.20 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.75/6.20 |
% 23.75/6.20 +-Applying beta-rule and splitting (434), into two cases.
% 23.75/6.20 |-Branch one:
% 23.75/6.20 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.75/6.20 |
% 23.75/6.20 +-Applying beta-rule and splitting (435), into two cases.
% 23.75/6.20 |-Branch one:
% 23.75/6.20 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.75/6.20 |
% 23.75/6.20 | Applying alpha-rule on (436) yields:
% 23.75/6.20 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.75/6.20 | (438) ~ (unit = e4)
% 23.75/6.20 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.75/6.20 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.75/6.20 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.75/6.20 | (442) ~ (all_0_15_15 = e4)
% 23.75/6.20 | (280) all_0_5_5 = e3
% 23.75/6.20 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.75/6.20 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.75/6.20 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.75/6.20 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.75/6.20 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.75/6.20 |
% 23.75/6.20 +-Applying beta-rule and splitting (437), into two cases.
% 23.75/6.20 |-Branch one:
% 23.75/6.20 | (263) ~ (all_0_20_20 = e4)
% 23.75/6.20 |
% 23.75/6.20 | Equations (792) can reduce 263 to:
% 23.75/6.20 | (243) $false
% 23.75/6.20 |
% 23.75/6.20 |-The branch is then unsatisfiable
% 23.75/6.20 |-Branch two:
% 23.75/6.20 | (792) all_0_20_20 = e4
% 23.75/6.20 | (1902) all_0_16_16 = e0
% 23.75/6.20 |
% 23.75/6.20 | Combining equations (621,1902) yields a new equation:
% 23.75/6.20 | (587) e1 = e0
% 23.75/6.20 |
% 23.75/6.20 | Simplifying 587 yields:
% 23.75/6.20 | (561) e1 = e0
% 23.75/6.20 |
% 23.75/6.20 | Equations (561) can reduce 109 to:
% 23.75/6.20 | (243) $false
% 23.75/6.20 |
% 23.75/6.20 |-The branch is then unsatisfiable
% 23.75/6.20 |-Branch two:
% 23.75/6.20 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.75/6.20 |
% 23.75/6.20 | Applying alpha-rule on (452) yields:
% 23.75/6.20 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.75/6.20 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.75/6.20 | (422) ~ (all_0_12_12 = e1)
% 23.75/6.20 | (212) all_0_6_6 = e2
% 23.75/6.20 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.75/6.20 | (458) ~ (all_0_13_13 = e1)
% 23.75/6.20 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.75/6.20 | (460) ~ (all_0_9_9 = e1)
% 23.75/6.20 | (461) ~ (all_0_20_20 = e1)
% 23.75/6.20 | (462) ~ (all_0_11_11 = e1)
% 23.75/6.20 | (463) ~ (unit = e1)
% 23.75/6.20 | (464) ~ (all_0_4_4 = e1)
% 23.75/6.20 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.75/6.20 |
% 23.75/6.20 +-Applying beta-rule and splitting (453), into two cases.
% 23.75/6.20 |-Branch one:
% 23.75/6.20 | (525) ~ (all_0_16_16 = e1)
% 23.75/6.20 |
% 23.75/6.20 | Equations (621) can reduce 525 to:
% 23.75/6.20 | (243) $false
% 23.75/6.20 |
% 23.75/6.20 |-The branch is then unsatisfiable
% 23.75/6.20 |-Branch two:
% 23.75/6.20 | (621) all_0_16_16 = e1
% 23.75/6.20 | (1225) all_0_19_19 = e4
% 23.75/6.20 |
% 23.75/6.20 | Combining equations (404,1225) yields a new equation:
% 23.75/6.20 | (373) e4 = e3
% 23.75/6.20 |
% 23.75/6.20 | Equations (373) can reduce 23 to:
% 23.75/6.20 | (243) $false
% 23.75/6.20 |
% 23.75/6.20 |-The branch is then unsatisfiable
% 23.75/6.20 |-Branch two:
% 23.75/6.20 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.75/6.20 |
% 23.75/6.20 | Applying alpha-rule on (467) yields:
% 23.75/6.20 | (468) ~ (all_0_7_7 = e3)
% 23.75/6.20 | (405) ~ (all_0_16_16 = e3)
% 23.75/6.20 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.75/6.20 | (295) ~ (all_0_15_15 = e3)
% 23.75/6.20 | (472) ~ (all_0_12_12 = e3)
% 23.75/6.20 | (289) ~ (all_0_6_6 = e3)
% 23.75/6.20 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.75/6.20 | (475) ~ (unit = e3)
% 23.75/6.20 | (307) all_0_9_9 = e2
% 23.75/6.20 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.75/6.20 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.75/6.20 | (414) ~ (all_0_0_0 = e3)
% 23.75/6.20 |
% 23.75/6.20 | Combining equations (307,326) yields a new equation:
% 23.75/6.20 | (339) e2 = e0
% 23.75/6.20 |
% 23.75/6.20 | Simplifying 339 yields:
% 23.75/6.20 | (327) e2 = e0
% 23.75/6.20 |
% 23.75/6.20 | Equations (327) can reduce 39 to:
% 23.75/6.20 | (243) $false
% 23.75/6.20 |
% 23.75/6.20 |-The branch is then unsatisfiable
% 23.75/6.20 |-Branch two:
% 23.75/6.20 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.75/6.20 |
% 23.75/6.20 | Applying alpha-rule on (481) yields:
% 23.75/6.20 | (482) all_0_15_15 = e1
% 23.75/6.20 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.75/6.20 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.75/6.20 | (329) ~ (all_0_9_9 = e0)
% 23.75/6.20 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.75/6.20 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.75/6.20 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.75/6.20 | (489) ~ (unit = e0)
% 23.75/6.20 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.75/6.20 | (491) ~ (all_0_5_5 = e0)
% 23.75/6.20 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.75/6.20 |
% 23.75/6.20 | Equations (326) can reduce 329 to:
% 23.75/6.20 | (243) $false
% 23.75/6.20 |
% 23.75/6.20 |-The branch is then unsatisfiable
% 23.75/6.20 |-Branch two:
% 23.75/6.20 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.75/6.20 |
% 23.75/6.20 | Applying alpha-rule on (496) yields:
% 23.75/6.20 | (308) ~ (all_0_1_1 = e2)
% 23.75/6.20 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.75/6.20 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.75/6.20 | (214) ~ (all_0_5_5 = e2)
% 23.75/6.20 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.75/6.20 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.75/6.20 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.75/6.20 | (213) ~ (all_0_3_3 = e2)
% 23.75/6.20 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.75/6.20 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.75/6.20 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.75/6.20 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.75/6.20 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.75/6.20 | (309) ~ (all_0_8_8 = e2)
% 23.75/6.20 | (220) ~ (all_0_19_19 = e2)
% 23.75/6.20 | (315) ~ (all_0_17_17 = e2)
% 23.75/6.20 | (216) ~ (all_0_7_7 = e2)
% 23.75/6.20 | (218) ~ (all_0_10_10 = e2)
% 23.75/6.20 | (227) ~ (all_0_13_13 = e2)
% 23.75/6.20 | (229) ~ (all_0_15_15 = e2)
% 23.75/6.20 | (313) ~ (all_0_11_11 = e2)
% 23.75/6.20 |
% 23.94/6.20 | Equations (1820) can reduce 315 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (1220) ~ (all_0_3_3 = e4)
% 23.94/6.20 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (148), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (1202) all_0_16_16 = e3
% 23.94/6.20 |
% 23.94/6.20 | Combining equations (621,1202) yields a new equation:
% 23.94/6.20 | (420) e3 = e1
% 23.94/6.20 |
% 23.94/6.20 | Equations (420) can reduce 111 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (405) ~ (all_0_16_16 = e3)
% 23.94/6.20 | (2211) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (64), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (755) all_0_3_3 = e2
% 23.94/6.20 |
% 23.94/6.20 | Equations (755) can reduce 213 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (213) ~ (all_0_3_3 = e2)
% 23.94/6.20 | (2070) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (2070), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (364) all_0_3_3 = e4
% 23.94/6.20 |
% 23.94/6.20 | Equations (364) can reduce 1220 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (1220) ~ (all_0_3_3 = e4)
% 23.94/6.20 | (2377) all_0_3_3 = e3 | all_0_3_3 = e1
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (2377), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (695) all_0_3_3 = e1
% 23.94/6.20 |
% 23.94/6.20 | Equations (695) can reduce 698 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (698) ~ (all_0_3_3 = e1)
% 23.94/6.20 | (372) all_0_3_3 = e3
% 23.94/6.20 |
% 23.94/6.20 | Equations (372) can reduce 135 to:
% 23.94/6.20 | (4879) ~ (all_0_19_19 = e3)
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 4879 yields:
% 23.94/6.20 | (2877) ~ (all_0_19_19 = e3)
% 23.94/6.20 |
% 23.94/6.20 | Equations (372) can reduce 1220 to:
% 23.94/6.20 | (408) ~ (e4 = e3)
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 408 yields:
% 23.94/6.20 | (23) ~ (e4 = e3)
% 23.94/6.20 |
% 23.94/6.20 | Equations (372) can reduce 213 to:
% 23.94/6.20 | (183) ~ (e3 = e2)
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (2211), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (1181) all_0_17_17 = e3
% 23.94/6.20 |
% 23.94/6.20 | Combining equations (1820,1181) yields a new equation:
% 23.94/6.20 | (287) e3 = e2
% 23.94/6.20 |
% 23.94/6.20 | Equations (287) can reduce 183 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (2752) ~ (all_0_17_17 = e3)
% 23.94/6.20 | (2803) all_0_19_19 = e3 | all_0_20_20 = e3
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (2803), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (404) all_0_19_19 = e3
% 23.94/6.20 |
% 23.94/6.20 | Equations (404) can reduce 2877 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (2877) ~ (all_0_19_19 = e3)
% 23.94/6.20 | (1495) all_0_20_20 = e3
% 23.94/6.20 |
% 23.94/6.20 | Combining equations (1495,792) yields a new equation:
% 23.94/6.20 | (373) e4 = e3
% 23.94/6.20 |
% 23.94/6.20 | Equations (373) can reduce 23 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (1227) ~ (all_0_8_8 = e4)
% 23.94/6.20 | (1228) all_0_10_10 = e4 | all_0_11_11 = e4
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (198), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (727) all_0_8_8 = e2
% 23.94/6.20 |
% 23.94/6.20 | Equations (727) can reduce 309 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (309) ~ (all_0_8_8 = e2)
% 23.94/6.20 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (1228), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (377) all_0_10_10 = e4
% 23.94/6.20 |
% 23.94/6.20 | Equations (377) can reduce 38 to:
% 23.94/6.20 | (1227) ~ (all_0_8_8 = e4)
% 23.94/6.20 |
% 23.94/6.20 | Equations (377) can reduce 206 to:
% 23.94/6.20 | (260) ~ (all_0_19_19 = e4)
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 260 yields:
% 23.94/6.20 | (261) ~ (all_0_19_19 = e4)
% 23.94/6.20 |
% 23.94/6.20 | Equations (377) can reduce 141 to:
% 23.94/6.20 | (23) ~ (e4 = e3)
% 23.94/6.20 |
% 23.94/6.20 | Equations (377) can reduce 144 to:
% 23.94/6.20 | (4) ~ (e4 = e0)
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (164), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (611) all_0_8_8 = e1
% 23.94/6.20 |
% 23.94/6.20 | Equations (611) can reduce 187 to:
% 23.94/6.20 | (906) ~ (all_0_16_16 = e1)
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 906 yields:
% 23.94/6.20 | (525) ~ (all_0_16_16 = e1)
% 23.94/6.20 |
% 23.94/6.20 | Equations (611) can reduce 1227 to:
% 23.94/6.20 | (383) ~ (e4 = e1)
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 383 yields:
% 23.94/6.20 | (207) ~ (e4 = e1)
% 23.94/6.20 |
% 23.94/6.20 | Equations (611) can reduce 117 to:
% 23.94/6.20 | (528) ~ (e3 = e1)
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 528 yields:
% 23.94/6.20 | (111) ~ (e3 = e1)
% 23.94/6.20 |
% 23.94/6.20 | Equations (611) can reduce 309 to:
% 23.94/6.20 | (530) ~ (e2 = e1)
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 530 yields:
% 23.94/6.20 | (114) ~ (e2 = e1)
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (63), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (1659) all_0_0_0 = e4
% 23.94/6.20 |
% 23.94/6.20 | Combining equations (1659,797) yields a new equation:
% 23.94/6.20 | (247) e4 = e0
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 247 yields:
% 23.94/6.20 | (248) e4 = e0
% 23.94/6.20 |
% 23.94/6.20 | Equations (248) can reduce 4 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (1663) ~ (all_0_0_0 = e4)
% 23.94/6.20 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 23.94/6.20 |
% 23.94/6.20 | Equations (797) can reduce 1663 to:
% 23.94/6.20 | (334) ~ (e4 = e0)
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 334 yields:
% 23.94/6.20 | (4) ~ (e4 = e0)
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (48), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (1659) all_0_0_0 = e4
% 23.94/6.20 |
% 23.94/6.20 | Combining equations (1659,797) yields a new equation:
% 23.94/6.20 | (247) e4 = e0
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 247 yields:
% 23.94/6.20 | (248) e4 = e0
% 23.94/6.20 |
% 23.94/6.20 | Equations (248) can reduce 4 to:
% 23.94/6.20 | (243) $false
% 23.94/6.20 |
% 23.94/6.20 |-The branch is then unsatisfiable
% 23.94/6.20 |-Branch two:
% 23.94/6.20 | (1663) ~ (all_0_0_0 = e4)
% 23.94/6.20 | (1664) all_0_2_2 = e4 | all_0_3_3 = e4 | all_0_4_4 = e4
% 23.94/6.20 |
% 23.94/6.20 | Equations (797) can reduce 1663 to:
% 23.94/6.20 | (334) ~ (e4 = e0)
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 334 yields:
% 23.94/6.20 | (4) ~ (e4 = e0)
% 23.94/6.20 |
% 23.94/6.20 +-Applying beta-rule and splitting (1678), into two cases.
% 23.94/6.20 |-Branch one:
% 23.94/6.20 | (353) all_0_8_8 = e4
% 23.94/6.20 |
% 23.94/6.20 | Combining equations (353,611) yields a new equation:
% 23.94/6.20 | (493) e4 = e1
% 23.94/6.20 |
% 23.94/6.20 | Simplifying 493 yields:
% 23.94/6.20 | (494) e4 = e1
% 23.94/6.20 |
% 23.94/6.21 | Equations (494) can reduce 207 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (1227) ~ (all_0_8_8 = e4)
% 23.94/6.21 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 23.94/6.21 |
% 23.94/6.21 | Equations (611) can reduce 1227 to:
% 23.94/6.21 | (383) ~ (e4 = e1)
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 383 yields:
% 23.94/6.21 | (207) ~ (e4 = e1)
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (154), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (532) all_0_16_16 = e2
% 23.94/6.21 |
% 23.94/6.21 | Equations (532) can reduce 542 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (542) ~ (all_0_16_16 = e2)
% 23.94/6.21 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (715), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (1894) all_0_16_16 = e4
% 23.94/6.21 |
% 23.94/6.21 | Equations (1894) can reduce 81 to:
% 23.94/6.21 | (262) ~ (all_0_20_20 = e4)
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 262 yields:
% 23.94/6.21 | (263) ~ (all_0_20_20 = e4)
% 23.94/6.21 |
% 23.94/6.21 | Equations (1894) can reduce 542 to:
% 23.94/6.21 | (194) ~ (e4 = e2)
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (18), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (523) all_0_20_20 = e1
% 23.94/6.21 |
% 23.94/6.21 | Equations (523) can reduce 40 to:
% 23.94/6.21 | (1154) ~ (all_0_15_15 = e1)
% 23.94/6.21 |
% 23.94/6.21 | Equations (523) can reduce 158 to:
% 23.94/6.21 | (382) ~ (all_0_19_19 = e1)
% 23.94/6.21 |
% 23.94/6.21 | Equations (523) can reduce 263 to:
% 23.94/6.21 | (383) ~ (e4 = e1)
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 383 yields:
% 23.94/6.21 | (207) ~ (e4 = e1)
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (104), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (695) all_0_3_3 = e1
% 23.94/6.21 |
% 23.94/6.21 | Equations (695) can reduce 135 to:
% 23.94/6.21 | (381) ~ (all_0_19_19 = e1)
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 381 yields:
% 23.94/6.21 | (382) ~ (all_0_19_19 = e1)
% 23.94/6.21 |
% 23.94/6.21 | From (695) and (185) follows:
% 23.94/6.21 | (553) op(e4, e1) = e1
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (140), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (372) all_0_3_3 = e3
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (695,372) yields a new equation:
% 23.94/6.21 | (420) e3 = e1
% 23.94/6.21 |
% 23.94/6.21 | Equations (420) can reduce 111 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (375) ~ (all_0_3_3 = e3)
% 23.94/6.21 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (142), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (741) all_0_1_1 = e2
% 23.94/6.21 |
% 23.94/6.21 | Equations (741) can reduce 308 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (308) ~ (all_0_1_1 = e2)
% 23.94/6.21 | (847) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (423), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (429) all_0_13_13 = e1
% 23.94/6.21 |
% 23.94/6.21 | Equations (429) can reduce 179 to:
% 23.94/6.21 | (1997) ~ (all_0_15_15 = e1)
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 1997 yields:
% 23.94/6.21 | (1154) ~ (all_0_15_15 = e1)
% 23.94/6.21 |
% 23.94/6.21 | Equations (429) can reduce 21 to:
% 23.94/6.21 | (109) ~ (e1 = e0)
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (161), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (424) all_0_1_1 = e3
% 23.94/6.21 |
% 23.94/6.21 | Equations (424) can reduce 308 to:
% 23.94/6.21 | (183) ~ (e3 = e2)
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (129), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (413) all_0_12_12 = e3
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (732,413) yields a new equation:
% 23.94/6.21 | (287) e3 = e2
% 23.94/6.21 |
% 23.94/6.21 | Equations (287) can reduce 183 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (472) ~ (all_0_12_12 = e3)
% 23.94/6.21 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 23.94/6.21 |
% 23.94/6.21 | Equations (732) can reduce 472 to:
% 23.94/6.21 | (232) ~ (e3 = e2)
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 232 yields:
% 23.94/6.21 | (183) ~ (e3 = e2)
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (72), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (433), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (434), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (435), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.94/6.21 |
% 23.94/6.21 | Applying alpha-rule on (436) yields:
% 23.94/6.21 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.94/6.21 | (438) ~ (unit = e4)
% 23.94/6.21 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.94/6.21 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.94/6.21 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.94/6.21 | (442) ~ (all_0_15_15 = e4)
% 23.94/6.21 | (280) all_0_5_5 = e3
% 23.94/6.21 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.94/6.21 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.94/6.21 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.94/6.21 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.94/6.21 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (376), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (286) all_0_6_6 = e3
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (212,286) yields a new equation:
% 23.94/6.21 | (287) e3 = e2
% 23.94/6.21 |
% 23.94/6.21 | Equations (287) can reduce 183 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (289) ~ (all_0_6_6 = e3)
% 23.94/6.21 | (404) all_0_19_19 = e3
% 23.94/6.21 |
% 23.94/6.21 | From (404) and (168) follows:
% 23.94/6.21 | (412) op(e0, e1) = e3
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (46), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (548) unit = e2
% 23.94/6.21 |
% 23.94/6.21 | From (548) and (77) follows:
% 23.94/6.21 | (352) op(e2, e0) = e0
% 23.94/6.21 |
% 23.94/6.21 | From (548) and (102) follows:
% 23.94/6.21 | (3465) op(e3, e2) = e3
% 23.94/6.21 |
% 23.94/6.21 | From (548) and (139) follows:
% 23.94/6.21 | (2817) op(e2, e2) = e2
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 23.94/6.21 | (420) e3 = e1
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 23.94/6.21 | (287) e3 = e2
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 23.94/6.21 | (327) e2 = e0
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (287,420) yields a new equation:
% 23.94/6.21 | (559) e2 = e1
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 559 yields:
% 23.94/6.21 | (560) e2 = e1
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (560,327) yields a new equation:
% 23.94/6.21 | (587) e1 = e0
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 587 yields:
% 23.94/6.21 | (561) e1 = e0
% 23.94/6.21 |
% 23.94/6.21 | Equations (561) can reduce 109 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (547) ~ (unit = e2)
% 23.94/6.21 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (551), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (552) unit = e4
% 23.94/6.21 |
% 23.94/6.21 | Equations (552) can reduce 438 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (438) ~ (unit = e4)
% 23.94/6.21 | (564) unit = e3 | unit = e1 | unit = e0
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (564), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (565) unit = e1
% 23.94/6.21 |
% 23.94/6.21 | From (565) and (184) follows:
% 23.94/6.21 | (235) op(e1, e2) = e2
% 23.94/6.21 |
% 23.94/6.21 | From (565) and (95) follows:
% 23.94/6.21 | (371) op(e4, e1) = e4
% 23.94/6.21 |
% 23.94/6.21 | From (565) and (102) follows:
% 23.94/6.21 | (1053) op(e3, e1) = e3
% 23.94/6.21 |
% 23.94/6.21 | From (565) and (175) follows:
% 23.94/6.21 | (1055) op(e0, e1) = e0
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e4, e1, e4, e1 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields:
% 23.94/6.21 | (494) e4 = e1
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 23.94/6.21 | (287) e3 = e2
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields:
% 23.94/6.21 | (254) e4 = e2
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 23.94/6.21 | (282) e3 = e0
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (254,494) yields a new equation:
% 23.94/6.21 | (559) e2 = e1
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 559 yields:
% 23.94/6.21 | (560) e2 = e1
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (287,282) yields a new equation:
% 23.94/6.21 | (339) e2 = e0
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 339 yields:
% 23.94/6.21 | (327) e2 = e0
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (327,560) yields a new equation:
% 23.94/6.21 | (561) e1 = e0
% 23.94/6.21 |
% 23.94/6.21 | Equations (561) can reduce 109 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (463) ~ (unit = e1)
% 23.94/6.21 | (576) unit = e3 | unit = e0
% 23.94/6.21 |
% 23.94/6.21 +-Applying beta-rule and splitting (576), into two cases.
% 23.94/6.21 |-Branch one:
% 23.94/6.21 | (577) unit = e0
% 23.94/6.21 |
% 23.94/6.21 | Equations (577) can reduce 463 to:
% 23.94/6.21 | (578) ~ (e1 = e0)
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 578 yields:
% 23.94/6.21 | (109) ~ (e1 = e0)
% 23.94/6.21 |
% 23.94/6.21 | From (577) and (121) follows:
% 23.94/6.21 | (3496) op(e0, e3) = e3
% 23.94/6.21 |
% 23.94/6.21 | From (577) and (184) follows:
% 23.94/6.21 | (580) op(e0, e2) = e2
% 23.94/6.21 |
% 23.94/6.21 | From (577) and (100) follows:
% 23.94/6.21 | (2851) op(e0, e1) = e1
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields:
% 23.94/6.21 | (287) e3 = e2
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e0, e2, e2, e0 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 23.94/6.21 | (327) e2 = e0
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 23.94/6.21 | (420) e3 = e1
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (287,420) yields a new equation:
% 23.94/6.21 | (559) e2 = e1
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 559 yields:
% 23.94/6.21 | (560) e2 = e1
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (560,327) yields a new equation:
% 23.94/6.21 | (587) e1 = e0
% 23.94/6.21 |
% 23.94/6.21 | Simplifying 587 yields:
% 23.94/6.21 | (561) e1 = e0
% 23.94/6.21 |
% 23.94/6.21 | Equations (561) can reduce 109 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (489) ~ (unit = e0)
% 23.94/6.21 | (591) unit = e3
% 23.94/6.21 |
% 23.94/6.21 | From (591) and (100) follows:
% 23.94/6.21 | (592) op(e3, e1) = e1
% 23.94/6.21 |
% 23.94/6.21 | From (591) and (175) follows:
% 23.94/6.21 | (3463) op(e0, e3) = e0
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields:
% 23.94/6.21 | (560) e2 = e1
% 23.94/6.21 |
% 23.94/6.21 | Instantiating formula (105) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields:
% 23.94/6.21 | (327) e2 = e0
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (327,560) yields a new equation:
% 23.94/6.21 | (561) e1 = e0
% 23.94/6.21 |
% 23.94/6.21 | Equations (561) can reduce 109 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.94/6.21 |
% 23.94/6.21 | Applying alpha-rule on (452) yields:
% 23.94/6.21 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.94/6.21 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.94/6.21 | (422) ~ (all_0_12_12 = e1)
% 23.94/6.21 | (212) all_0_6_6 = e2
% 23.94/6.21 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.94/6.21 | (458) ~ (all_0_13_13 = e1)
% 23.94/6.21 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.94/6.21 | (460) ~ (all_0_9_9 = e1)
% 23.94/6.21 | (461) ~ (all_0_20_20 = e1)
% 23.94/6.21 | (462) ~ (all_0_11_11 = e1)
% 23.94/6.21 | (463) ~ (unit = e1)
% 23.94/6.21 | (464) ~ (all_0_4_4 = e1)
% 23.94/6.21 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.94/6.21 |
% 23.94/6.21 | Equations (523) can reduce 461 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.94/6.21 |
% 23.94/6.21 | Applying alpha-rule on (467) yields:
% 23.94/6.21 | (468) ~ (all_0_7_7 = e3)
% 23.94/6.21 | (405) ~ (all_0_16_16 = e3)
% 23.94/6.21 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.94/6.21 | (295) ~ (all_0_15_15 = e3)
% 23.94/6.21 | (472) ~ (all_0_12_12 = e3)
% 23.94/6.21 | (289) ~ (all_0_6_6 = e3)
% 23.94/6.21 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.94/6.21 | (475) ~ (unit = e3)
% 23.94/6.21 | (307) all_0_9_9 = e2
% 23.94/6.21 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.94/6.21 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.94/6.21 | (414) ~ (all_0_0_0 = e3)
% 23.94/6.21 |
% 23.94/6.21 | Combining equations (326,307) yields a new equation:
% 23.94/6.21 | (327) e2 = e0
% 23.94/6.21 |
% 23.94/6.21 | Equations (327) can reduce 39 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.94/6.21 |
% 23.94/6.21 | Applying alpha-rule on (481) yields:
% 23.94/6.21 | (482) all_0_15_15 = e1
% 23.94/6.21 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.94/6.21 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.94/6.21 | (329) ~ (all_0_9_9 = e0)
% 23.94/6.21 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.94/6.21 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.94/6.21 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.94/6.21 | (489) ~ (unit = e0)
% 23.94/6.21 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.94/6.21 | (491) ~ (all_0_5_5 = e0)
% 23.94/6.21 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.94/6.21 |
% 23.94/6.21 | Equations (482) can reduce 1154 to:
% 23.94/6.21 | (243) $false
% 23.94/6.21 |
% 23.94/6.21 |-The branch is then unsatisfiable
% 23.94/6.21 |-Branch two:
% 23.94/6.21 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.94/6.22 |
% 23.94/6.22 | Applying alpha-rule on (496) yields:
% 23.94/6.22 | (308) ~ (all_0_1_1 = e2)
% 23.94/6.22 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.94/6.22 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.94/6.22 | (214) ~ (all_0_5_5 = e2)
% 23.94/6.22 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.94/6.22 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.94/6.22 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.94/6.22 | (213) ~ (all_0_3_3 = e2)
% 23.94/6.22 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.94/6.22 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.94/6.22 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.94/6.22 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.94/6.22 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.94/6.22 | (309) ~ (all_0_8_8 = e2)
% 23.94/6.22 | (220) ~ (all_0_19_19 = e2)
% 23.94/6.22 | (315) ~ (all_0_17_17 = e2)
% 23.94/6.22 | (216) ~ (all_0_7_7 = e2)
% 23.94/6.22 | (218) ~ (all_0_10_10 = e2)
% 23.94/6.22 | (227) ~ (all_0_13_13 = e2)
% 23.94/6.22 | (229) ~ (all_0_15_15 = e2)
% 23.94/6.22 | (313) ~ (all_0_11_11 = e2)
% 23.94/6.22 |
% 23.94/6.22 | Equations (1820) can reduce 315 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (842) ~ (all_0_1_1 = e3)
% 23.94/6.22 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (129), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (413) all_0_12_12 = e3
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (732,413) yields a new equation:
% 23.94/6.22 | (287) e3 = e2
% 23.94/6.22 |
% 23.94/6.22 | Equations (287) can reduce 183 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (472) ~ (all_0_12_12 = e3)
% 23.94/6.22 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 23.94/6.22 |
% 23.94/6.22 | Equations (732) can reduce 472 to:
% 23.94/6.22 | (232) ~ (e3 = e2)
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 232 yields:
% 23.94/6.22 | (183) ~ (e3 = e2)
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (126), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (823) all_0_15_15 = e2
% 23.94/6.22 |
% 23.94/6.22 | Equations (823) can reduce 229 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (229) ~ (all_0_15_15 = e2)
% 23.94/6.22 | (4171) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (376), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (286) all_0_6_6 = e3
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (212,286) yields a new equation:
% 23.94/6.22 | (287) e3 = e2
% 23.94/6.22 |
% 23.94/6.22 | Equations (287) can reduce 183 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (289) ~ (all_0_6_6 = e3)
% 23.94/6.22 | (404) all_0_19_19 = e3
% 23.94/6.22 |
% 23.94/6.22 | Equations (404) can reduce 382 to:
% 23.94/6.22 | (111) ~ (e3 = e1)
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (871), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (868) all_0_13_13 = e3
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (429,868) yields a new equation:
% 23.94/6.22 | (420) e3 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (420) can reduce 111 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (416) ~ (all_0_13_13 = e3)
% 23.94/6.22 | (1216) all_0_15_15 = e3
% 23.94/6.22 |
% 23.94/6.22 | Equations (1216) can reduce 229 to:
% 23.94/6.22 | (183) ~ (e3 = e2)
% 23.94/6.22 |
% 23.94/6.22 | Equations (1216) can reduce 1154 to:
% 23.94/6.22 | (111) ~ (e3 = e1)
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (843), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (868) all_0_13_13 = e3
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (429,868) yields a new equation:
% 23.94/6.22 | (420) e3 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (420) can reduce 111 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (416) ~ (all_0_13_13 = e3)
% 23.94/6.22 | (1181) all_0_17_17 = e3
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (1820,1181) yields a new equation:
% 23.94/6.22 | (287) e3 = e2
% 23.94/6.22 |
% 23.94/6.22 | Equations (287) can reduce 183 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (458) ~ (all_0_13_13 = e1)
% 23.94/6.22 | (482) all_0_15_15 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (482) can reduce 1154 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (698) ~ (all_0_3_3 = e1)
% 23.94/6.22 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (2066), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (380) all_0_10_10 = e1
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (377,380) yields a new equation:
% 23.94/6.22 | (493) e4 = e1
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 493 yields:
% 23.94/6.22 | (494) e4 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (494) can reduce 207 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (2075) ~ (all_0_10_10 = e1)
% 23.94/6.22 | (1017) all_0_19_19 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (1017) can reduce 382 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (461) ~ (all_0_20_20 = e1)
% 23.94/6.22 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (52), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (630) all_0_4_4 = e4
% 23.94/6.22 |
% 23.94/6.22 | Equations (630) can reduce 26 to:
% 23.94/6.22 | (262) ~ (all_0_20_20 = e4)
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 262 yields:
% 23.94/6.22 | (263) ~ (all_0_20_20 = e4)
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (780), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (788) all_0_0_0 = e3
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (788,797) yields a new equation:
% 23.94/6.22 | (281) e3 = e0
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 281 yields:
% 23.94/6.22 | (282) e3 = e0
% 23.94/6.22 |
% 23.94/6.22 | Equations (282) can reduce 54 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (414) ~ (all_0_0_0 = e3)
% 23.94/6.22 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (791), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.94/6.22 |
% 23.94/6.22 | Applying alpha-rule on (796) yields:
% 23.94/6.22 | (797) all_0_0_0 = e0
% 23.94/6.22 | (792) all_0_20_20 = e4
% 23.94/6.22 | (392) ~ (all_0_4_4 = e4)
% 23.94/6.22 |
% 23.94/6.22 | Equations (792) can reduce 263 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.94/6.22 |
% 23.94/6.22 | Applying alpha-rule on (801) yields:
% 23.94/6.22 | (797) all_0_0_0 = e0
% 23.94/6.22 | (792) all_0_20_20 = e4
% 23.94/6.22 | (276) ~ (all_0_16_16 = e0)
% 23.94/6.22 |
% 23.94/6.22 | Equations (792) can reduce 263 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (392) ~ (all_0_4_4 = e4)
% 23.94/6.22 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (2004), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (2395) all_0_11_11 = e4
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (2395,818) yields a new equation:
% 23.94/6.22 | (253) e4 = e2
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 253 yields:
% 23.94/6.22 | (254) e4 = e2
% 23.94/6.22 |
% 23.94/6.22 | Equations (254) can reduce 194 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (2559) ~ (all_0_11_11 = e4)
% 23.94/6.22 | (3020) all_0_15_15 = e4 | all_0_20_20 = e4
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (3020), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (391) all_0_15_15 = e4
% 23.94/6.22 |
% 23.94/6.22 | Equations (391) can reduce 442 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (442) ~ (all_0_15_15 = e4)
% 23.94/6.22 | (792) all_0_20_20 = e4
% 23.94/6.22 |
% 23.94/6.22 | Equations (792) can reduce 263 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (258) ~ (all_0_16_16 = e4)
% 23.94/6.22 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (66), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (1894) all_0_16_16 = e4
% 23.94/6.22 |
% 23.94/6.22 | Equations (1894) can reduce 258 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (258) ~ (all_0_16_16 = e4)
% 23.94/6.22 | (5036) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (5036), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (257) all_0_18_18 = e4
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (257,832) yields a new equation:
% 23.94/6.22 | (247) e4 = e0
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 247 yields:
% 23.94/6.22 | (248) e4 = e0
% 23.94/6.22 |
% 23.94/6.22 | Equations (248) can reduce 4 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (3165) ~ (all_0_18_18 = e4)
% 23.94/6.22 | (5041) all_0_19_19 = e4 | all_0_20_20 = e4
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (5041), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (1225) all_0_19_19 = e4
% 23.94/6.22 |
% 23.94/6.22 | Equations (1225) can reduce 261 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (261) ~ (all_0_19_19 = e4)
% 23.94/6.22 | (792) all_0_20_20 = e4
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (148), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (1202) all_0_16_16 = e3
% 23.94/6.22 |
% 23.94/6.22 | Equations (1202) can reduce 405 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (405) ~ (all_0_16_16 = e3)
% 23.94/6.22 | (2211) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (153), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (621) all_0_16_16 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (621) can reduce 525 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (525) ~ (all_0_16_16 = e1)
% 23.94/6.22 | (911) all_0_17_17 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (2211), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (1181) all_0_17_17 = e3
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (1820,1181) yields a new equation:
% 23.94/6.22 | (287) e3 = e2
% 23.94/6.22 |
% 23.94/6.22 | Equations (287) can reduce 183 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (2752) ~ (all_0_17_17 = e3)
% 23.94/6.22 | (2803) all_0_19_19 = e3 | all_0_20_20 = e3
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (2803), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (404) all_0_19_19 = e3
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (911), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (1012) all_0_17_17 = e1
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (1820,1012) yields a new equation:
% 23.94/6.22 | (559) e2 = e1
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 559 yields:
% 23.94/6.22 | (560) e2 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (560) can reduce 114 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (1015) ~ (all_0_17_17 = e1)
% 23.94/6.22 | (1016) all_0_19_19 = e1 | all_0_20_20 = e1
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (1016), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (1017) all_0_19_19 = e1
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (404,1017) yields a new equation:
% 23.94/6.22 | (419) e3 = e1
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 419 yields:
% 23.94/6.22 | (420) e3 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (420) can reduce 111 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (382) ~ (all_0_19_19 = e1)
% 23.94/6.22 | (523) all_0_20_20 = e1
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (523,792) yields a new equation:
% 23.94/6.22 | (494) e4 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (494) can reduce 207 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (2877) ~ (all_0_19_19 = e3)
% 23.94/6.22 | (1495) all_0_20_20 = e3
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (792,1495) yields a new equation:
% 23.94/6.22 | (1217) e4 = e3
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 1217 yields:
% 23.94/6.22 | (373) e4 = e3
% 23.94/6.22 |
% 23.94/6.22 | Equations (373) can reduce 23 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (614) ~ (all_0_8_8 = e1)
% 23.94/6.22 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (2384), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (1290) all_0_9_9 = e1
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (326,1290) yields a new equation:
% 23.94/6.22 | (561) e1 = e0
% 23.94/6.22 |
% 23.94/6.22 | Equations (561) can reduce 109 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (460) ~ (all_0_9_9 = e1)
% 23.94/6.22 | (2470) all_0_10_10 = e1 | all_0_11_11 = e1
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (2470), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (380) all_0_10_10 = e1
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (377,380) yields a new equation:
% 23.94/6.22 | (493) e4 = e1
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 493 yields:
% 23.94/6.22 | (494) e4 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (494) can reduce 207 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (2075) ~ (all_0_10_10 = e1)
% 23.94/6.22 | (1145) all_0_11_11 = e1
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (818,1145) yields a new equation:
% 23.94/6.22 | (559) e2 = e1
% 23.94/6.22 |
% 23.94/6.22 | Simplifying 559 yields:
% 23.94/6.22 | (560) e2 = e1
% 23.94/6.22 |
% 23.94/6.22 | Equations (560) can reduce 114 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (355) ~ (all_0_10_10 = e4)
% 23.94/6.22 | (2395) all_0_11_11 = e4
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (818,2395) yields a new equation:
% 23.94/6.22 | (254) e4 = e2
% 23.94/6.22 |
% 23.94/6.22 | Equations (254) can reduce 194 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (268) ~ (all_0_0_0 = e0)
% 23.94/6.22 | (5846) all_0_1_1 = e0 | all_0_2_2 = e0 | all_0_4_4 = e0
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (5846), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (322) all_0_1_1 = e0
% 23.94/6.22 |
% 23.94/6.22 | Equations (322) can reduce 237 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (237) ~ (all_0_1_1 = e0)
% 23.94/6.22 | (5850) all_0_2_2 = e0 | all_0_4_4 = e0
% 23.94/6.22 |
% 23.94/6.22 +-Applying beta-rule and splitting (5850), into two cases.
% 23.94/6.22 |-Branch one:
% 23.94/6.22 | (236) all_0_2_2 = e0
% 23.94/6.22 |
% 23.94/6.22 | Combining equations (236,750) yields a new equation:
% 23.94/6.22 | (327) e2 = e0
% 23.94/6.22 |
% 23.94/6.22 | Equations (327) can reduce 39 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (4061) ~ (all_0_2_2 = e0)
% 23.94/6.22 | (638) all_0_4_4 = e0
% 23.94/6.22 |
% 23.94/6.22 | Equations (638) can reduce 344 to:
% 23.94/6.22 | (243) $false
% 23.94/6.22 |
% 23.94/6.22 |-The branch is then unsatisfiable
% 23.94/6.22 |-Branch two:
% 23.94/6.22 | (329) ~ (all_0_9_9 = e0)
% 23.94/6.22 | (330) all_0_17_17 = e0
% 23.94/6.22 |
% 23.94/6.23 | Combining equations (1820,330) yields a new equation:
% 23.94/6.23 | (339) e2 = e0
% 23.94/6.23 |
% 23.94/6.23 | Simplifying 339 yields:
% 23.94/6.23 | (327) e2 = e0
% 23.94/6.23 |
% 23.94/6.23 | Equations (327) can reduce 39 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (226) ~ (all_0_12_12 = e2)
% 23.94/6.23 | (8345) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (186), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (732) all_0_12_12 = e2
% 23.94/6.23 |
% 23.94/6.23 | Equations (732) can reduce 226 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (226) ~ (all_0_12_12 = e2)
% 23.94/6.23 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (875), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (360) all_0_12_12 = e4
% 23.94/6.23 |
% 23.94/6.23 | Equations (360) can reduce 357 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (357) ~ (all_0_12_12 = e4)
% 23.94/6.23 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (8345), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (299) all_0_13_13 = e2
% 23.94/6.23 |
% 23.94/6.23 | Equations (299) can reduce 227 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (227) ~ (all_0_13_13 = e2)
% 23.94/6.23 | (8353) all_0_14_14 = e2 | all_0_15_15 = e2
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (899), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (418) all_0_12_12 = e1
% 23.94/6.23 |
% 23.94/6.23 | Equations (418) can reduce 88 to:
% 23.94/6.23 | (9892) ~ (all_0_13_13 = e1)
% 23.94/6.23 |
% 23.94/6.23 | Simplifying 9892 yields:
% 23.94/6.23 | (458) ~ (all_0_13_13 = e1)
% 23.94/6.23 |
% 23.94/6.23 | Equations (418) can reduce 36 to:
% 23.94/6.23 | (1997) ~ (all_0_15_15 = e1)
% 23.94/6.23 |
% 23.94/6.23 | Simplifying 1997 yields:
% 23.94/6.23 | (1154) ~ (all_0_15_15 = e1)
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (8353), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (224) all_0_14_14 = e2
% 23.94/6.23 |
% 23.94/6.23 | Combining equations (252,224) yields a new equation:
% 23.94/6.23 | (253) e4 = e2
% 23.94/6.23 |
% 23.94/6.23 | Simplifying 253 yields:
% 23.94/6.23 | (254) e4 = e2
% 23.94/6.23 |
% 23.94/6.23 | Equations (254) can reduce 194 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (7736) ~ (all_0_14_14 = e2)
% 23.94/6.23 | (823) all_0_15_15 = e2
% 23.94/6.23 |
% 23.94/6.23 | Equations (823) can reduce 1154 to:
% 23.94/6.23 | (114) ~ (e2 = e1)
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (302), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (429) all_0_13_13 = e1
% 23.94/6.23 |
% 23.94/6.23 | Equations (429) can reduce 458 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (458) ~ (all_0_13_13 = e1)
% 23.94/6.23 | (868) all_0_13_13 = e3
% 23.94/6.23 |
% 23.94/6.23 | Equations (868) can reduce 70 to:
% 23.94/6.23 | (842) ~ (all_0_1_1 = e3)
% 23.94/6.23 |
% 23.94/6.23 | Equations (868) can reduce 19 to:
% 23.94/6.23 | (2751) ~ (all_0_17_17 = e3)
% 23.94/6.23 |
% 23.94/6.23 | Simplifying 2751 yields:
% 23.94/6.23 | (2752) ~ (all_0_17_17 = e3)
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (72), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (433), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (434), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (435), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 23.94/6.23 |
% 23.94/6.23 | Applying alpha-rule on (436) yields:
% 23.94/6.23 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 23.94/6.23 | (438) ~ (unit = e4)
% 23.94/6.23 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 23.94/6.23 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 23.94/6.23 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 23.94/6.23 | (442) ~ (all_0_15_15 = e4)
% 23.94/6.23 | (280) all_0_5_5 = e3
% 23.94/6.23 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 23.94/6.23 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 23.94/6.23 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 23.94/6.23 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 23.94/6.23 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (439), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (256) ~ (all_0_14_14 = e4)
% 23.94/6.23 |
% 23.94/6.23 | Equations (252) can reduce 256 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (252) all_0_14_14 = e4
% 23.94/6.23 | (732) all_0_12_12 = e2
% 23.94/6.23 |
% 23.94/6.23 | Combining equations (418,732) yields a new equation:
% 23.94/6.23 | (560) e2 = e1
% 23.94/6.23 |
% 23.94/6.23 | Equations (560) can reduce 114 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 23.94/6.23 |
% 23.94/6.23 | Applying alpha-rule on (452) yields:
% 23.94/6.23 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 23.94/6.23 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 23.94/6.23 | (422) ~ (all_0_12_12 = e1)
% 23.94/6.23 | (212) all_0_6_6 = e2
% 23.94/6.23 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 23.94/6.23 | (458) ~ (all_0_13_13 = e1)
% 23.94/6.23 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 23.94/6.23 | (460) ~ (all_0_9_9 = e1)
% 23.94/6.23 | (461) ~ (all_0_20_20 = e1)
% 23.94/6.23 | (462) ~ (all_0_11_11 = e1)
% 23.94/6.23 | (463) ~ (unit = e1)
% 23.94/6.23 | (464) ~ (all_0_4_4 = e1)
% 23.94/6.23 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 23.94/6.23 |
% 23.94/6.23 | Equations (418) can reduce 422 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 23.94/6.23 |
% 23.94/6.23 | Applying alpha-rule on (467) yields:
% 23.94/6.23 | (468) ~ (all_0_7_7 = e3)
% 23.94/6.23 | (405) ~ (all_0_16_16 = e3)
% 23.94/6.23 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 23.94/6.23 | (295) ~ (all_0_15_15 = e3)
% 23.94/6.23 | (472) ~ (all_0_12_12 = e3)
% 23.94/6.23 | (289) ~ (all_0_6_6 = e3)
% 23.94/6.23 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 23.94/6.23 | (475) ~ (unit = e3)
% 23.94/6.23 | (307) all_0_9_9 = e2
% 23.94/6.23 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 23.94/6.23 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 23.94/6.23 | (414) ~ (all_0_0_0 = e3)
% 23.94/6.23 |
% 23.94/6.23 | Equations (307) can reduce 110 to:
% 23.94/6.23 | (308) ~ (all_0_1_1 = e2)
% 23.94/6.23 |
% 23.94/6.23 | Equations (307) can reduce 56 to:
% 23.94/6.23 | (314) ~ (all_0_17_17 = e2)
% 23.94/6.23 |
% 23.94/6.23 | Simplifying 314 yields:
% 23.94/6.23 | (315) ~ (all_0_17_17 = e2)
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (59), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (1820) all_0_17_17 = e2
% 23.94/6.23 |
% 23.94/6.23 | Equations (1820) can reduce 315 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (315) ~ (all_0_17_17 = e2)
% 23.94/6.23 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (120), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (532) all_0_16_16 = e2
% 23.94/6.23 |
% 23.94/6.23 | Equations (532) can reduce 276 to:
% 23.94/6.23 | (39) ~ (e2 = e0)
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (112), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (797) all_0_0_0 = e0
% 23.94/6.23 |
% 23.94/6.23 | Equations (797) can reduce 178 to:
% 23.94/6.23 | (9970) ~ (all_0_1_1 = e0)
% 23.94/6.23 |
% 23.94/6.23 | Simplifying 9970 yields:
% 23.94/6.23 | (237) ~ (all_0_1_1 = e0)
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (142), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (741) all_0_1_1 = e2
% 23.94/6.23 |
% 23.94/6.23 | Equations (741) can reduce 308 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (308) ~ (all_0_1_1 = e2)
% 23.94/6.23 | (847) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (847), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (605) all_0_1_1 = e1
% 23.94/6.23 |
% 23.94/6.23 | Equations (605) can reduce 73 to:
% 23.94/6.23 | (3405) ~ (all_0_17_17 = e1)
% 23.94/6.23 |
% 23.94/6.23 | Simplifying 3405 yields:
% 23.94/6.23 | (1015) ~ (all_0_17_17 = e1)
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (2810), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (1012) all_0_17_17 = e1
% 23.94/6.23 |
% 23.94/6.23 | Equations (1012) can reduce 1015 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (1015) ~ (all_0_17_17 = e1)
% 23.94/6.23 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (2871), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (330) all_0_17_17 = e0
% 23.94/6.23 |
% 23.94/6.23 | Equations (330) can reduce 2482 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (2482) ~ (all_0_17_17 = e0)
% 23.94/6.23 | (1181) all_0_17_17 = e3
% 23.94/6.23 |
% 23.94/6.23 | Equations (1181) can reduce 2752 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (608) ~ (all_0_1_1 = e1)
% 23.94/6.23 | (861) all_0_1_1 = e3 | all_0_1_1 = e0
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (861), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (322) all_0_1_1 = e0
% 23.94/6.23 |
% 23.94/6.23 | Equations (322) can reduce 237 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (237) ~ (all_0_1_1 = e0)
% 23.94/6.23 | (424) all_0_1_1 = e3
% 23.94/6.23 |
% 23.94/6.23 | Equations (424) can reduce 842 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (268) ~ (all_0_0_0 = e0)
% 23.94/6.23 | (6782) all_0_5_5 = e0 | all_0_8_8 = e0 | all_0_16_16 = e0
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (18), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (523) all_0_20_20 = e1
% 23.94/6.23 |
% 23.94/6.23 | Equations (523) can reduce 197 to:
% 23.94/6.23 | (1015) ~ (all_0_17_17 = e1)
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (99), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (797) all_0_0_0 = e0
% 23.94/6.23 |
% 23.94/6.23 | Equations (797) can reduce 268 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (268) ~ (all_0_0_0 = e0)
% 23.94/6.23 | (5846) all_0_1_1 = e0 | all_0_2_2 = e0 | all_0_4_4 = e0
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (5846), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (322) all_0_1_1 = e0
% 23.94/6.23 |
% 23.94/6.23 | Equations (322) can reduce 73 to:
% 23.94/6.23 | (2481) ~ (all_0_17_17 = e0)
% 23.94/6.23 |
% 23.94/6.23 | Simplifying 2481 yields:
% 23.94/6.23 | (2482) ~ (all_0_17_17 = e0)
% 23.94/6.23 |
% 23.94/6.23 +-Applying beta-rule and splitting (2810), into two cases.
% 23.94/6.23 |-Branch one:
% 23.94/6.23 | (1012) all_0_17_17 = e1
% 23.94/6.23 |
% 23.94/6.23 | Equations (1012) can reduce 1015 to:
% 23.94/6.23 | (243) $false
% 23.94/6.23 |
% 23.94/6.23 |-The branch is then unsatisfiable
% 23.94/6.23 |-Branch two:
% 23.94/6.23 | (1015) ~ (all_0_17_17 = e1)
% 23.94/6.23 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 23.94/6.23 |
% 23.94/6.24 +-Applying beta-rule and splitting (2871), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (330) all_0_17_17 = e0
% 23.94/6.24 |
% 23.94/6.24 | Equations (330) can reduce 2482 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (2482) ~ (all_0_17_17 = e0)
% 23.94/6.24 | (1181) all_0_17_17 = e3
% 23.94/6.24 |
% 23.94/6.24 | Equations (1181) can reduce 2752 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (237) ~ (all_0_1_1 = e0)
% 23.94/6.24 | (5850) all_0_2_2 = e0 | all_0_4_4 = e0
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (5850), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (236) all_0_2_2 = e0
% 23.94/6.24 |
% 23.94/6.24 | Combining equations (236,750) yields a new equation:
% 23.94/6.24 | (327) e2 = e0
% 23.94/6.24 |
% 23.94/6.24 | Equations (327) can reduce 39 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (4061) ~ (all_0_2_2 = e0)
% 23.94/6.24 | (638) all_0_4_4 = e0
% 23.94/6.24 |
% 23.94/6.24 | Equations (638) can reduce 344 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (461) ~ (all_0_20_20 = e1)
% 23.94/6.24 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (780), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (788) all_0_0_0 = e3
% 23.94/6.24 |
% 23.94/6.24 | Equations (788) can reduce 414 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (414) ~ (all_0_0_0 = e3)
% 23.94/6.24 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (791), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.94/6.24 |
% 23.94/6.24 | Applying alpha-rule on (796) yields:
% 23.94/6.24 | (797) all_0_0_0 = e0
% 23.94/6.24 | (792) all_0_20_20 = e4
% 23.94/6.24 | (392) ~ (all_0_4_4 = e4)
% 23.94/6.24 |
% 23.94/6.24 | Equations (797) can reduce 268 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Applying alpha-rule on (801) yields:
% 23.94/6.24 | (797) all_0_0_0 = e0
% 23.94/6.24 | (792) all_0_20_20 = e4
% 23.94/6.24 | (276) ~ (all_0_16_16 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Equations (797) can reduce 268 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (542) ~ (all_0_16_16 = e2)
% 23.94/6.24 | (671) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (2810), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (1012) all_0_17_17 = e1
% 23.94/6.24 |
% 23.94/6.24 | Equations (1012) can reduce 211 to:
% 23.94/6.24 | (525) ~ (all_0_16_16 = e1)
% 23.94/6.24 |
% 23.94/6.24 | Equations (1012) can reduce 197 to:
% 23.94/6.24 | (2079) ~ (all_0_20_20 = e1)
% 23.94/6.24 |
% 23.94/6.24 | Simplifying 2079 yields:
% 23.94/6.24 | (461) ~ (all_0_20_20 = e1)
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (154), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (532) all_0_16_16 = e2
% 23.94/6.24 |
% 23.94/6.24 | Equations (532) can reduce 542 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (542) ~ (all_0_16_16 = e2)
% 23.94/6.24 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (715), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (1894) all_0_16_16 = e4
% 23.94/6.24 |
% 23.94/6.24 | Equations (1894) can reduce 81 to:
% 23.94/6.24 | (262) ~ (all_0_20_20 = e4)
% 23.94/6.24 |
% 23.94/6.24 | Simplifying 262 yields:
% 23.94/6.24 | (263) ~ (all_0_20_20 = e4)
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (18), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (523) all_0_20_20 = e1
% 23.94/6.24 |
% 23.94/6.24 | Equations (523) can reduce 461 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (461) ~ (all_0_20_20 = e1)
% 23.94/6.24 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (780), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (788) all_0_0_0 = e3
% 23.94/6.24 |
% 23.94/6.24 | Equations (788) can reduce 414 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (414) ~ (all_0_0_0 = e3)
% 23.94/6.24 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (791), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 23.94/6.24 |
% 23.94/6.24 | Applying alpha-rule on (796) yields:
% 23.94/6.24 | (797) all_0_0_0 = e0
% 23.94/6.24 | (792) all_0_20_20 = e4
% 23.94/6.24 | (392) ~ (all_0_4_4 = e4)
% 23.94/6.24 |
% 23.94/6.24 | Equations (792) can reduce 263 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Applying alpha-rule on (801) yields:
% 23.94/6.24 | (797) all_0_0_0 = e0
% 23.94/6.24 | (792) all_0_20_20 = e4
% 23.94/6.24 | (276) ~ (all_0_16_16 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Equations (792) can reduce 263 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (258) ~ (all_0_16_16 = e4)
% 23.94/6.24 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (1897), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (621) all_0_16_16 = e1
% 23.94/6.24 |
% 23.94/6.24 | Equations (621) can reduce 525 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (525) ~ (all_0_16_16 = e1)
% 23.94/6.24 | (1901) all_0_16_16 = e3 | all_0_16_16 = e0
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (1901), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (1902) all_0_16_16 = e0
% 23.94/6.24 |
% 23.94/6.24 | Equations (1902) can reduce 276 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (276) ~ (all_0_16_16 = e0)
% 23.94/6.24 | (1202) all_0_16_16 = e3
% 23.94/6.24 |
% 23.94/6.24 | Equations (1202) can reduce 405 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (1015) ~ (all_0_17_17 = e1)
% 23.94/6.24 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (2871), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (330) all_0_17_17 = e0
% 23.94/6.24 |
% 23.94/6.24 | Equations (330) can reduce 2482 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (2482) ~ (all_0_17_17 = e0)
% 23.94/6.24 | (1181) all_0_17_17 = e3
% 23.94/6.24 |
% 23.94/6.24 | Equations (1181) can reduce 2752 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 23.94/6.24 |
% 23.94/6.24 | Applying alpha-rule on (481) yields:
% 23.94/6.24 | (482) all_0_15_15 = e1
% 23.94/6.24 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 23.94/6.24 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 23.94/6.24 | (329) ~ (all_0_9_9 = e0)
% 23.94/6.24 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 23.94/6.24 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 23.94/6.24 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 23.94/6.24 | (489) ~ (unit = e0)
% 23.94/6.24 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 23.94/6.24 | (491) ~ (all_0_5_5 = e0)
% 23.94/6.24 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 23.94/6.24 |
% 23.94/6.24 | Combining equations (823,482) yields a new equation:
% 23.94/6.24 | (559) e2 = e1
% 23.94/6.24 |
% 23.94/6.24 | Simplifying 559 yields:
% 23.94/6.24 | (560) e2 = e1
% 23.94/6.24 |
% 23.94/6.24 | Equations (560) can reduce 114 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 23.94/6.24 |
% 23.94/6.24 | Applying alpha-rule on (496) yields:
% 23.94/6.24 | (308) ~ (all_0_1_1 = e2)
% 23.94/6.24 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 23.94/6.24 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 23.94/6.24 | (214) ~ (all_0_5_5 = e2)
% 23.94/6.24 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 23.94/6.24 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 23.94/6.24 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 23.94/6.24 | (213) ~ (all_0_3_3 = e2)
% 23.94/6.24 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 23.94/6.24 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 23.94/6.24 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 23.94/6.24 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 23.94/6.24 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 23.94/6.24 | (309) ~ (all_0_8_8 = e2)
% 23.94/6.24 | (220) ~ (all_0_19_19 = e2)
% 23.94/6.24 | (315) ~ (all_0_17_17 = e2)
% 23.94/6.24 | (216) ~ (all_0_7_7 = e2)
% 23.94/6.24 | (218) ~ (all_0_10_10 = e2)
% 23.94/6.24 | (227) ~ (all_0_13_13 = e2)
% 23.94/6.24 | (229) ~ (all_0_15_15 = e2)
% 23.94/6.24 | (313) ~ (all_0_11_11 = e2)
% 23.94/6.24 |
% 23.94/6.24 | Equations (823) can reduce 229 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (422) ~ (all_0_12_12 = e1)
% 23.94/6.24 | (413) all_0_12_12 = e3
% 23.94/6.24 |
% 23.94/6.24 | Equations (413) can reduce 472 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (225) ~ (all_0_2_2 = e2)
% 23.94/6.24 | (4073) all_0_2_2 = e4 | all_0_2_2 = e0
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (4073), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (246) all_0_2_2 = e4
% 23.94/6.24 |
% 23.94/6.24 | Equations (246) can reduce 250 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (250) ~ (all_0_2_2 = e4)
% 23.94/6.24 | (236) all_0_2_2 = e0
% 23.94/6.24 |
% 23.94/6.24 | Equations (236) can reduce 173 to:
% 23.94/6.24 | (268) ~ (all_0_0_0 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Equations (236) can reduce 192 to:
% 23.94/6.24 | (237) ~ (all_0_1_1 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Equations (236) can reduce 190 to:
% 23.94/6.24 | (238) ~ (all_0_3_3 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Simplifying 238 yields:
% 23.94/6.24 | (193) ~ (all_0_3_3 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Equations (236) can reduce 149 to:
% 23.94/6.24 | (4133) ~ (all_0_4_4 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Simplifying 4133 yields:
% 23.94/6.24 | (344) ~ (all_0_4_4 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Equations (236) can reduce 157 to:
% 23.94/6.24 | (240) ~ (e3 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Simplifying 240 yields:
% 23.94/6.24 | (54) ~ (e3 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Equations (236) can reduce 225 to:
% 23.94/6.24 | (277) ~ (e2 = e0)
% 23.94/6.24 |
% 23.94/6.24 | Simplifying 277 yields:
% 23.94/6.24 | (39) ~ (e2 = e0)
% 23.94/6.24 |
% 23.94/6.24 +-Applying beta-rule and splitting (165), into two cases.
% 23.94/6.24 |-Branch one:
% 23.94/6.24 | (750) all_0_2_2 = e2
% 23.94/6.24 |
% 23.94/6.24 | Combining equations (750,236) yields a new equation:
% 23.94/6.24 | (339) e2 = e0
% 23.94/6.24 |
% 23.94/6.24 | Simplifying 339 yields:
% 23.94/6.24 | (327) e2 = e0
% 23.94/6.24 |
% 23.94/6.24 | Equations (327) can reduce 39 to:
% 23.94/6.24 | (243) $false
% 23.94/6.24 |
% 23.94/6.24 |-The branch is then unsatisfiable
% 23.94/6.24 |-Branch two:
% 23.94/6.24 | (225) ~ (all_0_2_2 = e2)
% 24.10/6.24 | (10150) all_0_14_14 = e2 | all_0_18_18 = e2
% 24.10/6.24 |
% 24.10/6.24 +-Applying beta-rule and splitting (10150), into two cases.
% 24.10/6.24 |-Branch one:
% 24.10/6.24 | (224) all_0_14_14 = e2
% 24.10/6.24 |
% 24.10/6.24 | Combining equations (224,252) yields a new equation:
% 24.10/6.24 | (254) e4 = e2
% 24.10/6.24 |
% 24.10/6.24 | Equations (254) can reduce 194 to:
% 24.10/6.24 | (243) $false
% 24.10/6.24 |
% 24.10/6.24 |-The branch is then unsatisfiable
% 24.10/6.24 |-Branch two:
% 24.10/6.24 | (7736) ~ (all_0_14_14 = e2)
% 24.10/6.24 | (242) all_0_18_18 = e2
% 24.10/6.24 |
% 24.10/6.24 | Equations (242) can reduce 67 to:
% 24.10/6.24 | (542) ~ (all_0_16_16 = e2)
% 24.10/6.24 |
% 24.10/6.24 | Equations (242) can reduce 162 to:
% 24.10/6.24 | (315) ~ (all_0_17_17 = e2)
% 24.10/6.24 |
% 24.10/6.24 | Equations (242) can reduce 122 to:
% 24.10/6.24 | (219) ~ (all_0_19_19 = e2)
% 24.10/6.24 |
% 24.10/6.24 | Simplifying 219 yields:
% 24.10/6.24 | (220) ~ (all_0_19_19 = e2)
% 24.10/6.24 |
% 24.10/6.24 | Equations (242) can reduce 3165 to:
% 24.10/6.24 | (221) ~ (e4 = e2)
% 24.10/6.24 |
% 24.10/6.24 | Simplifying 221 yields:
% 24.10/6.24 | (194) ~ (e4 = e2)
% 24.10/6.24 |
% 24.10/6.24 | Equations (242) can reduce 119 to:
% 24.10/6.24 | (232) ~ (e3 = e2)
% 24.10/6.24 |
% 24.10/6.24 | Simplifying 232 yields:
% 24.10/6.24 | (183) ~ (e3 = e2)
% 24.10/6.24 |
% 24.10/6.24 | Equations (242) can reduce 43 to:
% 24.10/6.24 | (114) ~ (e2 = e1)
% 24.10/6.24 |
% 24.10/6.24 | From (242) and (113) follows:
% 24.10/6.24 | (580) op(e0, e2) = e2
% 24.10/6.24 |
% 24.10/6.24 +-Applying beta-rule and splitting (130), into two cases.
% 24.10/6.24 |-Branch one:
% 24.10/6.24 | (267) all_0_5_5 = e0
% 24.10/6.24 |
% 24.10/6.24 | Equations (267) can reduce 15 to:
% 24.10/6.24 | (268) ~ (all_0_0_0 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Equations (267) can reduce 152 to:
% 24.10/6.24 | (269) ~ (all_0_7_7 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Simplifying 269 yields:
% 24.10/6.24 | (270) ~ (all_0_7_7 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Equations (267) can reduce 125 to:
% 24.10/6.24 | (271) ~ (all_0_8_8 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Simplifying 271 yields:
% 24.10/6.24 | (272) ~ (all_0_8_8 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Equations (267) can reduce 92 to:
% 24.10/6.24 | (273) ~ (all_0_12_12 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Simplifying 273 yields:
% 24.10/6.24 | (210) ~ (all_0_12_12 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Equations (267) can reduce 76 to:
% 24.10/6.24 | (275) ~ (all_0_16_16 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Simplifying 275 yields:
% 24.10/6.24 | (276) ~ (all_0_16_16 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Equations (267) can reduce 214 to:
% 24.10/6.24 | (277) ~ (e2 = e0)
% 24.10/6.24 |
% 24.10/6.24 | Simplifying 277 yields:
% 24.10/6.24 | (39) ~ (e2 = e0)
% 24.10/6.24 |
% 24.10/6.24 | From (267) and (61) follows:
% 24.10/6.24 | (279) op(e3, e4) = e0
% 24.10/6.24 |
% 24.10/6.24 +-Applying beta-rule and splitting (134), into two cases.
% 24.10/6.24 |-Branch one:
% 24.10/6.24 | (280) all_0_5_5 = e3
% 24.10/6.24 |
% 24.10/6.24 | Combining equations (280,267) yields a new equation:
% 24.10/6.24 | (281) e3 = e0
% 24.10/6.24 |
% 24.10/6.24 | Simplifying 281 yields:
% 24.10/6.24 | (282) e3 = e0
% 24.10/6.24 |
% 24.10/6.24 | Equations (282) can reduce 54 to:
% 24.10/6.24 | (243) $false
% 24.10/6.24 |
% 24.10/6.24 |-The branch is then unsatisfiable
% 24.10/6.24 |-Branch two:
% 24.10/6.24 | (284) ~ (all_0_5_5 = e3)
% 24.10/6.24 | (285) all_0_6_6 = e3 | all_0_7_7 = e3
% 24.10/6.24 |
% 24.10/6.24 +-Applying beta-rule and splitting (285), into two cases.
% 24.10/6.24 |-Branch one:
% 24.10/6.24 | (286) all_0_6_6 = e3
% 24.10/6.24 |
% 24.10/6.24 | Combining equations (212,286) yields a new equation:
% 24.10/6.24 | (287) e3 = e2
% 24.10/6.24 |
% 24.10/6.24 | Equations (287) can reduce 183 to:
% 24.10/6.24 | (243) $false
% 24.10/6.24 |
% 24.10/6.24 |-The branch is then unsatisfiable
% 24.10/6.24 |-Branch two:
% 24.10/6.24 | (289) ~ (all_0_6_6 = e3)
% 24.10/6.25 | (290) all_0_7_7 = e3
% 24.10/6.25 |
% 24.10/6.25 | Equations (290) can reduce 131 to:
% 24.10/6.25 | (292) ~ (all_0_11_11 = e3)
% 24.10/6.25 |
% 24.10/6.25 | Simplifying 292 yields:
% 24.10/6.25 | (30) ~ (all_0_11_11 = e3)
% 24.10/6.25 |
% 24.10/6.25 | Equations (290) can reduce 6 to:
% 24.10/6.25 | (294) ~ (all_0_15_15 = e3)
% 24.10/6.25 |
% 24.10/6.25 | Simplifying 294 yields:
% 24.10/6.25 | (295) ~ (all_0_15_15 = e3)
% 24.10/6.25 |
% 24.10/6.25 | Equations (290) can reduce 55 to:
% 24.10/6.25 | (296) ~ (all_0_20_20 = e3)
% 24.10/6.25 |
% 24.10/6.25 | Simplifying 296 yields:
% 24.10/6.25 | (297) ~ (all_0_20_20 = e3)
% 24.10/6.25 |
% 24.10/6.25 | Equations (290) can reduce 147 to:
% 24.10/6.25 | (111) ~ (e3 = e1)
% 24.10/6.25 |
% 24.10/6.25 | Equations (290) can reduce 270 to:
% 24.10/6.25 | (54) ~ (e3 = e0)
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (108), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (303) all_0_10_10 = e2
% 24.10/6.25 |
% 24.10/6.25 | Equations (303) can reduce 218 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (218) ~ (all_0_10_10 = e2)
% 24.10/6.25 | (306) all_0_10_10 = e4 | all_0_10_10 = e1
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (171), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (299) all_0_13_13 = e2
% 24.10/6.25 |
% 24.10/6.25 | Equations (299) can reduce 137 to:
% 24.10/6.25 | (2398) ~ (all_0_9_9 = e2)
% 24.10/6.25 |
% 24.10/6.25 | Equations (299) can reduce 88 to:
% 24.10/6.25 | (226) ~ (all_0_12_12 = e2)
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (72), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (433), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (434), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (435), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.10/6.25 |
% 24.10/6.25 | Applying alpha-rule on (436) yields:
% 24.10/6.25 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.10/6.25 | (438) ~ (unit = e4)
% 24.10/6.25 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.10/6.25 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.10/6.25 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.10/6.25 | (442) ~ (all_0_15_15 = e4)
% 24.10/6.25 | (280) all_0_5_5 = e3
% 24.10/6.25 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.10/6.25 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.10/6.25 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.10/6.25 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.10/6.25 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.10/6.25 |
% 24.10/6.25 | Combining equations (280,267) yields a new equation:
% 24.10/6.25 | (281) e3 = e0
% 24.10/6.25 |
% 24.10/6.25 | Simplifying 281 yields:
% 24.10/6.25 | (282) e3 = e0
% 24.10/6.25 |
% 24.10/6.25 | Equations (282) can reduce 54 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.10/6.25 |
% 24.10/6.25 | Applying alpha-rule on (452) yields:
% 24.10/6.25 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.10/6.25 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.10/6.25 | (422) ~ (all_0_12_12 = e1)
% 24.10/6.25 | (212) all_0_6_6 = e2
% 24.10/6.25 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.10/6.25 | (458) ~ (all_0_13_13 = e1)
% 24.10/6.25 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.10/6.25 | (460) ~ (all_0_9_9 = e1)
% 24.10/6.25 | (461) ~ (all_0_20_20 = e1)
% 24.10/6.25 | (462) ~ (all_0_11_11 = e1)
% 24.10/6.25 | (463) ~ (unit = e1)
% 24.10/6.25 | (464) ~ (all_0_4_4 = e1)
% 24.10/6.25 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (145), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (634) all_0_4_4 = e1
% 24.10/6.25 |
% 24.10/6.25 | Equations (634) can reduce 464 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (464) ~ (all_0_4_4 = e1)
% 24.10/6.25 | (1140) all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (1140), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (1145) all_0_11_11 = e1
% 24.10/6.25 |
% 24.10/6.25 | Equations (1145) can reduce 462 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (462) ~ (all_0_11_11 = e1)
% 24.10/6.25 | (1149) all_0_15_15 = e1 | all_0_20_20 = e1
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (1149), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (482) all_0_15_15 = e1
% 24.10/6.25 |
% 24.10/6.25 | Equations (482) can reduce 36 to:
% 24.10/6.25 | (422) ~ (all_0_12_12 = e1)
% 24.10/6.25 |
% 24.10/6.25 | Equations (482) can reduce 40 to:
% 24.10/6.25 | (2079) ~ (all_0_20_20 = e1)
% 24.10/6.25 |
% 24.10/6.25 | Simplifying 2079 yields:
% 24.10/6.25 | (461) ~ (all_0_20_20 = e1)
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (129), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (413) all_0_12_12 = e3
% 24.10/6.25 |
% 24.10/6.25 | Equations (413) can reduce 80 to:
% 24.10/6.25 | (414) ~ (all_0_0_0 = e3)
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (18), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (523) all_0_20_20 = e1
% 24.10/6.25 |
% 24.10/6.25 | Equations (523) can reduce 461 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (461) ~ (all_0_20_20 = e1)
% 24.10/6.25 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (780), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (788) all_0_0_0 = e3
% 24.10/6.25 |
% 24.10/6.25 | Equations (788) can reduce 414 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (414) ~ (all_0_0_0 = e3)
% 24.10/6.25 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (791), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 24.10/6.25 |
% 24.10/6.25 | Applying alpha-rule on (796) yields:
% 24.10/6.25 | (797) all_0_0_0 = e0
% 24.10/6.25 | (792) all_0_20_20 = e4
% 24.10/6.25 | (392) ~ (all_0_4_4 = e4)
% 24.10/6.25 |
% 24.10/6.25 | Equations (797) can reduce 268 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 24.10/6.25 |
% 24.10/6.25 | Applying alpha-rule on (801) yields:
% 24.10/6.25 | (797) all_0_0_0 = e0
% 24.10/6.25 | (792) all_0_20_20 = e4
% 24.10/6.25 | (276) ~ (all_0_16_16 = e0)
% 24.10/6.25 |
% 24.10/6.25 | Equations (797) can reduce 268 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (472) ~ (all_0_12_12 = e3)
% 24.10/6.25 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (186), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (732) all_0_12_12 = e2
% 24.10/6.25 |
% 24.10/6.25 | Equations (732) can reduce 226 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (226) ~ (all_0_12_12 = e2)
% 24.10/6.25 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (875), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (360) all_0_12_12 = e4
% 24.10/6.25 |
% 24.10/6.25 | Equations (360) can reduce 357 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (357) ~ (all_0_12_12 = e4)
% 24.10/6.25 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (899), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (418) all_0_12_12 = e1
% 24.10/6.25 |
% 24.10/6.25 | Equations (418) can reduce 422 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (422) ~ (all_0_12_12 = e1)
% 24.10/6.25 | (413) all_0_12_12 = e3
% 24.10/6.25 |
% 24.10/6.25 | Equations (413) can reduce 472 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (1154) ~ (all_0_15_15 = e1)
% 24.10/6.25 | (523) all_0_20_20 = e1
% 24.10/6.25 |
% 24.10/6.25 | Equations (523) can reduce 461 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.10/6.25 |
% 24.10/6.25 | Applying alpha-rule on (467) yields:
% 24.10/6.25 | (468) ~ (all_0_7_7 = e3)
% 24.10/6.25 | (405) ~ (all_0_16_16 = e3)
% 24.10/6.25 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.10/6.25 | (295) ~ (all_0_15_15 = e3)
% 24.10/6.25 | (472) ~ (all_0_12_12 = e3)
% 24.10/6.25 | (289) ~ (all_0_6_6 = e3)
% 24.10/6.25 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.10/6.25 | (475) ~ (unit = e3)
% 24.10/6.25 | (307) all_0_9_9 = e2
% 24.10/6.25 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.10/6.25 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.10/6.25 | (414) ~ (all_0_0_0 = e3)
% 24.10/6.25 |
% 24.10/6.25 | Equations (307) can reduce 2398 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.10/6.25 |
% 24.10/6.25 | Applying alpha-rule on (481) yields:
% 24.10/6.25 | (482) all_0_15_15 = e1
% 24.10/6.25 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.10/6.25 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.10/6.25 | (329) ~ (all_0_9_9 = e0)
% 24.10/6.25 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.10/6.25 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.10/6.25 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.10/6.25 | (489) ~ (unit = e0)
% 24.10/6.25 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.10/6.25 | (491) ~ (all_0_5_5 = e0)
% 24.10/6.25 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.10/6.25 |
% 24.10/6.25 | Equations (267) can reduce 491 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.10/6.25 |
% 24.10/6.25 | Applying alpha-rule on (496) yields:
% 24.10/6.25 | (308) ~ (all_0_1_1 = e2)
% 24.10/6.25 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.10/6.25 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.10/6.25 | (214) ~ (all_0_5_5 = e2)
% 24.10/6.25 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.10/6.25 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.10/6.25 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.10/6.25 | (213) ~ (all_0_3_3 = e2)
% 24.10/6.25 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.10/6.25 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.10/6.25 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.10/6.25 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.10/6.25 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.10/6.25 | (309) ~ (all_0_8_8 = e2)
% 24.10/6.25 | (220) ~ (all_0_19_19 = e2)
% 24.10/6.25 | (315) ~ (all_0_17_17 = e2)
% 24.10/6.25 | (216) ~ (all_0_7_7 = e2)
% 24.10/6.25 | (218) ~ (all_0_10_10 = e2)
% 24.10/6.25 | (227) ~ (all_0_13_13 = e2)
% 24.10/6.25 | (229) ~ (all_0_15_15 = e2)
% 24.10/6.25 | (313) ~ (all_0_11_11 = e2)
% 24.10/6.25 |
% 24.10/6.25 | Equations (299) can reduce 227 to:
% 24.10/6.25 | (243) $false
% 24.10/6.25 |
% 24.10/6.25 |-The branch is then unsatisfiable
% 24.10/6.25 |-Branch two:
% 24.10/6.25 | (227) ~ (all_0_13_13 = e2)
% 24.10/6.25 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (29), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (741) all_0_1_1 = e2
% 24.10/6.25 |
% 24.10/6.25 | Equations (741) can reduce 110 to:
% 24.10/6.25 | (2401) ~ (all_0_9_9 = e2)
% 24.10/6.25 |
% 24.10/6.25 | Simplifying 2401 yields:
% 24.10/6.25 | (2398) ~ (all_0_9_9 = e2)
% 24.10/6.25 |
% 24.10/6.25 | Equations (741) can reduce 73 to:
% 24.10/6.25 | (314) ~ (all_0_17_17 = e2)
% 24.10/6.25 |
% 24.10/6.25 | Simplifying 314 yields:
% 24.10/6.25 | (315) ~ (all_0_17_17 = e2)
% 24.10/6.25 |
% 24.10/6.25 | From (741) and (133) follows:
% 24.10/6.25 | (2796) op(e4, e3) = e2
% 24.10/6.25 |
% 24.10/6.25 +-Applying beta-rule and splitting (72), into two cases.
% 24.10/6.25 |-Branch one:
% 24.10/6.25 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.13/6.25 |
% 24.13/6.25 +-Applying beta-rule and splitting (433), into two cases.
% 24.13/6.25 |-Branch one:
% 24.13/6.25 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.13/6.25 |
% 24.13/6.25 +-Applying beta-rule and splitting (434), into two cases.
% 24.13/6.25 |-Branch one:
% 24.13/6.25 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.13/6.25 |
% 24.13/6.25 +-Applying beta-rule and splitting (435), into two cases.
% 24.13/6.25 |-Branch one:
% 24.13/6.25 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.13/6.25 |
% 24.13/6.25 | Applying alpha-rule on (436) yields:
% 24.13/6.25 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.13/6.25 | (438) ~ (unit = e4)
% 24.13/6.25 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.13/6.25 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.13/6.25 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.13/6.25 | (442) ~ (all_0_15_15 = e4)
% 24.13/6.25 | (280) all_0_5_5 = e3
% 24.13/6.25 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.13/6.25 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.13/6.25 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.13/6.25 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.13/6.25 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.13/6.25 |
% 24.13/6.25 | Combining equations (267,280) yields a new equation:
% 24.13/6.25 | (282) e3 = e0
% 24.13/6.25 |
% 24.13/6.25 | Equations (282) can reduce 54 to:
% 24.13/6.25 | (243) $false
% 24.13/6.25 |
% 24.13/6.25 |-The branch is then unsatisfiable
% 24.13/6.25 |-Branch two:
% 24.13/6.25 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.13/6.25 |
% 24.13/6.25 | Applying alpha-rule on (452) yields:
% 24.13/6.25 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.13/6.25 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.13/6.25 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.25 | (212) all_0_6_6 = e2
% 24.13/6.25 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.13/6.25 | (458) ~ (all_0_13_13 = e1)
% 24.13/6.25 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.13/6.25 | (460) ~ (all_0_9_9 = e1)
% 24.13/6.25 | (461) ~ (all_0_20_20 = e1)
% 24.13/6.25 | (462) ~ (all_0_11_11 = e1)
% 24.13/6.25 | (463) ~ (unit = e1)
% 24.13/6.25 | (464) ~ (all_0_4_4 = e1)
% 24.13/6.25 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.13/6.25 |
% 24.13/6.25 +-Applying beta-rule and splitting (302), into two cases.
% 24.13/6.25 |-Branch one:
% 24.13/6.25 | (429) all_0_13_13 = e1
% 24.13/6.25 |
% 24.13/6.25 | Equations (429) can reduce 458 to:
% 24.13/6.25 | (243) $false
% 24.13/6.25 |
% 24.13/6.25 |-The branch is then unsatisfiable
% 24.13/6.25 |-Branch two:
% 24.13/6.25 | (458) ~ (all_0_13_13 = e1)
% 24.13/6.25 | (868) all_0_13_13 = e3
% 24.13/6.25 |
% 24.13/6.25 | Equations (868) can reduce 137 to:
% 24.13/6.25 | (58) ~ (all_0_9_9 = e3)
% 24.13/6.25 |
% 24.13/6.25 | Equations (868) can reduce 88 to:
% 24.13/6.25 | (472) ~ (all_0_12_12 = e3)
% 24.13/6.25 |
% 24.13/6.25 | Equations (868) can reduce 19 to:
% 24.13/6.25 | (2751) ~ (all_0_17_17 = e3)
% 24.13/6.25 |
% 24.13/6.25 | Simplifying 2751 yields:
% 24.13/6.25 | (2752) ~ (all_0_17_17 = e3)
% 24.13/6.25 |
% 24.13/6.25 | Equations (868) can reduce 458 to:
% 24.13/6.25 | (111) ~ (e3 = e1)
% 24.13/6.25 |
% 24.13/6.25 +-Applying beta-rule and splitting (186), into two cases.
% 24.13/6.25 |-Branch one:
% 24.13/6.25 | (732) all_0_12_12 = e2
% 24.13/6.25 |
% 24.13/6.25 | Equations (732) can reduce 422 to:
% 24.13/6.25 | (114) ~ (e2 = e1)
% 24.13/6.25 |
% 24.13/6.25 | From (732) and (103) follows:
% 24.13/6.26 | (8098) op(e1, e4) = e2
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (202), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (307) all_0_9_9 = e2
% 24.13/6.26 |
% 24.13/6.26 | Equations (307) can reduce 2398 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (2398) ~ (all_0_9_9 = e2)
% 24.13/6.26 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (18), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (523) all_0_20_20 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (523) can reduce 461 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (461) ~ (all_0_20_20 = e1)
% 24.13/6.26 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (145), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (634) all_0_4_4 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (634) can reduce 464 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (464) ~ (all_0_4_4 = e1)
% 24.13/6.26 | (1140) all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (9), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (605) all_0_1_1 = e1
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (605,741) yields a new equation:
% 24.13/6.26 | (560) e2 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (560) can reduce 114 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (608) ~ (all_0_1_1 = e1)
% 24.13/6.26 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (741) can reduce 608 to:
% 24.13/6.26 | (114) ~ (e2 = e1)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (91), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (418) all_0_12_12 = e1
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (732,418) yields a new equation:
% 24.13/6.26 | (559) e2 = e1
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 559 yields:
% 24.13/6.26 | (560) e2 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (560) can reduce 114 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.26 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (732) can reduce 422 to:
% 24.13/6.26 | (114) ~ (e2 = e1)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (780), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (788) all_0_0_0 = e3
% 24.13/6.26 |
% 24.13/6.26 | Equations (788) can reduce 85 to:
% 24.13/6.26 | (2761) ~ (all_0_3_3 = e3)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 2761 yields:
% 24.13/6.26 | (375) ~ (all_0_3_3 = e3)
% 24.13/6.26 |
% 24.13/6.26 | Equations (788) can reduce 188 to:
% 24.13/6.26 | (1883) ~ (all_0_16_16 = e3)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 1883 yields:
% 24.13/6.26 | (405) ~ (all_0_16_16 = e3)
% 24.13/6.26 |
% 24.13/6.26 | From (788) and (201) follows:
% 24.13/6.26 | (882) op(e4, e4) = e3
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (2399), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (1290) all_0_9_9 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (1290) can reduce 460 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (460) ~ (all_0_9_9 = e1)
% 24.13/6.26 | (326) all_0_9_9 = e0
% 24.13/6.26 |
% 24.13/6.26 | Equations (326) can reduce 60 to:
% 24.13/6.26 | (2647) ~ (all_0_10_10 = e0)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 2647 yields:
% 24.13/6.26 | (144) ~ (all_0_10_10 = e0)
% 24.13/6.26 |
% 24.13/6.26 | Equations (326) can reduce 14 to:
% 24.13/6.26 | (2479) ~ (all_0_11_11 = e0)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 2479 yields:
% 24.13/6.26 | (2480) ~ (all_0_11_11 = e0)
% 24.13/6.26 |
% 24.13/6.26 | Equations (326) can reduce 56 to:
% 24.13/6.26 | (2481) ~ (all_0_17_17 = e0)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 2481 yields:
% 24.13/6.26 | (2482) ~ (all_0_17_17 = e0)
% 24.13/6.26 |
% 24.13/6.26 | Equations (326) can reduce 58 to:
% 24.13/6.26 | (240) ~ (e3 = e0)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 240 yields:
% 24.13/6.26 | (54) ~ (e3 = e0)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (107), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (538) all_0_0_0 = e1
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (538,788) yields a new equation:
% 24.13/6.26 | (420) e3 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (420) can reduce 111 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (595) ~ (all_0_0_0 = e1)
% 24.13/6.26 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (596), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (605) all_0_1_1 = e1
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (605,741) yields a new equation:
% 24.13/6.26 | (560) e2 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (560) can reduce 114 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (608) ~ (all_0_1_1 = e1)
% 24.13/6.26 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (609), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (695) all_0_3_3 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (695) can reduce 87 to:
% 24.13/6.26 | (2730) ~ (all_0_10_10 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 2730 yields:
% 24.13/6.26 | (2075) ~ (all_0_10_10 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Equations (695) can reduce 135 to:
% 24.13/6.26 | (381) ~ (all_0_19_19 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 381 yields:
% 24.13/6.26 | (382) ~ (all_0_19_19 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Equations (695) can reduce 375 to:
% 24.13/6.26 | (528) ~ (e3 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 528 yields:
% 24.13/6.26 | (111) ~ (e3 = e1)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (306), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (377) all_0_10_10 = e4
% 24.13/6.26 |
% 24.13/6.26 | Equations (377) can reduce 38 to:
% 24.13/6.26 | (1227) ~ (all_0_8_8 = e4)
% 24.13/6.26 |
% 24.13/6.26 | Equations (377) can reduce 155 to:
% 24.13/6.26 | (8609) ~ (all_0_11_11 = e4)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 8609 yields:
% 24.13/6.26 | (2559) ~ (all_0_11_11 = e4)
% 24.13/6.26 |
% 24.13/6.26 | Equations (377) can reduce 141 to:
% 24.13/6.26 | (23) ~ (e4 = e3)
% 24.13/6.26 |
% 24.13/6.26 | Equations (377) can reduce 2075 to:
% 24.13/6.26 | (207) ~ (e4 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Equations (377) can reduce 144 to:
% 24.13/6.26 | (4) ~ (e4 = e0)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (42), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (818) all_0_11_11 = e2
% 24.13/6.26 |
% 24.13/6.26 | Equations (818) can reduce 82 to:
% 24.13/6.26 | (625) ~ (all_0_4_4 = e2)
% 24.13/6.26 |
% 24.13/6.26 | Equations (818) can reduce 2559 to:
% 24.13/6.26 | (221) ~ (e4 = e2)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 221 yields:
% 24.13/6.26 | (194) ~ (e4 = e2)
% 24.13/6.26 |
% 24.13/6.26 | Equations (818) can reduce 2480 to:
% 24.13/6.26 | (39) ~ (e2 = e0)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (140), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (372) all_0_3_3 = e3
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (372,695) yields a new equation:
% 24.13/6.26 | (419) e3 = e1
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 419 yields:
% 24.13/6.26 | (420) e3 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (420) can reduce 111 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (375) ~ (all_0_3_3 = e3)
% 24.13/6.26 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 24.13/6.26 |
% 24.13/6.26 | Equations (695) can reduce 375 to:
% 24.13/6.26 | (528) ~ (e3 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 528 yields:
% 24.13/6.26 | (111) ~ (e3 = e1)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (167), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (1902) all_0_16_16 = e0
% 24.13/6.26 |
% 24.13/6.26 | Equations (1902) can reduce 276 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (276) ~ (all_0_16_16 = e0)
% 24.13/6.26 | (2522) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (191), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (638) all_0_4_4 = e0
% 24.13/6.26 |
% 24.13/6.26 | Equations (638) can reduce 344 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (344) ~ (all_0_4_4 = e0)
% 24.13/6.26 | (4140) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_20_20 = e0
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (164), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (611) all_0_8_8 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (611) can reduce 1227 to:
% 24.13/6.26 | (383) ~ (e4 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 383 yields:
% 24.13/6.26 | (207) ~ (e4 = e1)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (59), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (1820) all_0_17_17 = e2
% 24.13/6.26 |
% 24.13/6.26 | Equations (1820) can reduce 315 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (315) ~ (all_0_17_17 = e2)
% 24.13/6.26 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (48), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (1659) all_0_0_0 = e4
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (1659,788) yields a new equation:
% 24.13/6.26 | (1217) e4 = e3
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 1217 yields:
% 24.13/6.26 | (373) e4 = e3
% 24.13/6.26 |
% 24.13/6.26 | Equations (373) can reduce 23 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (1663) ~ (all_0_0_0 = e4)
% 24.13/6.26 | (1664) all_0_2_2 = e4 | all_0_3_3 = e4 | all_0_4_4 = e4
% 24.13/6.26 |
% 24.13/6.26 | Equations (788) can reduce 1663 to:
% 24.13/6.26 | (408) ~ (e4 = e3)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 408 yields:
% 24.13/6.26 | (23) ~ (e4 = e3)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (63), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (1659) all_0_0_0 = e4
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (1659,788) yields a new equation:
% 24.13/6.26 | (1217) e4 = e3
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 1217 yields:
% 24.13/6.26 | (373) e4 = e3
% 24.13/6.26 |
% 24.13/6.26 | Equations (373) can reduce 23 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (1663) ~ (all_0_0_0 = e4)
% 24.13/6.26 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (2522), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (330) all_0_17_17 = e0
% 24.13/6.26 |
% 24.13/6.26 | Equations (330) can reduce 2482 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (2482) ~ (all_0_17_17 = e0)
% 24.13/6.26 | (2530) all_0_18_18 = e0 | all_0_20_20 = e0
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (2530), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (832) all_0_18_18 = e0
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (832,242) yields a new equation:
% 24.13/6.26 | (327) e2 = e0
% 24.13/6.26 |
% 24.13/6.26 | Equations (327) can reduce 39 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (2539) ~ (all_0_18_18 = e0)
% 24.13/6.26 | (1492) all_0_20_20 = e0
% 24.13/6.26 |
% 24.13/6.26 | Equations (1492) can reduce 197 to:
% 24.13/6.26 | (2482) ~ (all_0_17_17 = e0)
% 24.13/6.26 |
% 24.13/6.26 | Equations (1492) can reduce 297 to:
% 24.13/6.26 | (240) ~ (e3 = e0)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 240 yields:
% 24.13/6.26 | (54) ~ (e3 = e0)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (1678), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (353) all_0_8_8 = e4
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (611,353) yields a new equation:
% 24.13/6.26 | (494) e4 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (494) can reduce 207 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (1227) ~ (all_0_8_8 = e4)
% 24.13/6.26 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (1695), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (360) all_0_12_12 = e4
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (732,360) yields a new equation:
% 24.13/6.26 | (254) e4 = e2
% 24.13/6.26 |
% 24.13/6.26 | Equations (254) can reduce 194 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (357) ~ (all_0_12_12 = e4)
% 24.13/6.26 | (1894) all_0_16_16 = e4
% 24.13/6.26 |
% 24.13/6.26 | Equations (1894) can reduce 405 to:
% 24.13/6.26 | (23) ~ (e4 = e3)
% 24.13/6.26 |
% 24.13/6.26 | From (1894) and (101) follows:
% 24.13/6.26 | (4358) op(e0, e4) = e4
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (148), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (1202) all_0_16_16 = e3
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (1202,1894) yields a new equation:
% 24.13/6.26 | (373) e4 = e3
% 24.13/6.26 |
% 24.13/6.26 | Equations (373) can reduce 23 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (405) ~ (all_0_16_16 = e3)
% 24.13/6.26 | (2211) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (2211), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (1181) all_0_17_17 = e3
% 24.13/6.26 |
% 24.13/6.26 | Equations (1181) can reduce 2752 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (2752) ~ (all_0_17_17 = e3)
% 24.13/6.26 | (2803) all_0_19_19 = e3 | all_0_20_20 = e3
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (2803), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (404) all_0_19_19 = e3
% 24.13/6.26 |
% 24.13/6.26 | Equations (404) can reduce 22 to:
% 24.13/6.26 | (2752) ~ (all_0_17_17 = e3)
% 24.13/6.26 |
% 24.13/6.26 | From (404) and (168) follows:
% 24.13/6.26 | (412) op(e0, e1) = e3
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (2810), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (1012) all_0_17_17 = e1
% 24.13/6.26 |
% 24.13/6.26 | Equations (1012) can reduce 2752 to:
% 24.13/6.26 | (528) ~ (e3 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 528 yields:
% 24.13/6.26 | (111) ~ (e3 = e1)
% 24.13/6.26 |
% 24.13/6.26 | Equations (1012) can reduce 2482 to:
% 24.13/6.26 | (109) ~ (e1 = e0)
% 24.13/6.26 |
% 24.13/6.26 +-Applying beta-rule and splitting (46), into two cases.
% 24.13/6.26 |-Branch one:
% 24.13/6.26 | (548) unit = e2
% 24.13/6.26 |
% 24.13/6.26 | From (548) and (102) follows:
% 24.13/6.26 | (3465) op(e3, e2) = e3
% 24.13/6.26 |
% 24.13/6.26 | From (548) and (139) follows:
% 24.13/6.26 | (2817) op(e2, e2) = e2
% 24.13/6.26 |
% 24.13/6.26 | From (548) and (175) follows:
% 24.13/6.26 | (7774) op(e0, e2) = e0
% 24.13/6.26 |
% 24.13/6.26 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 24.13/6.26 | (420) e3 = e1
% 24.13/6.26 |
% 24.13/6.26 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 24.13/6.26 | (287) e3 = e2
% 24.13/6.26 |
% 24.13/6.26 | Instantiating formula (105) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 24.13/6.26 | (327) e2 = e0
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (287,420) yields a new equation:
% 24.13/6.26 | (559) e2 = e1
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 559 yields:
% 24.13/6.26 | (560) e2 = e1
% 24.13/6.26 |
% 24.13/6.26 | Combining equations (560,327) yields a new equation:
% 24.13/6.26 | (587) e1 = e0
% 24.13/6.26 |
% 24.13/6.26 | Simplifying 587 yields:
% 24.13/6.26 | (561) e1 = e0
% 24.13/6.26 |
% 24.13/6.26 | Equations (561) can reduce 109 to:
% 24.13/6.26 | (243) $false
% 24.13/6.26 |
% 24.13/6.26 |-The branch is then unsatisfiable
% 24.13/6.26 |-Branch two:
% 24.13/6.26 | (547) ~ (unit = e2)
% 24.13/6.27 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (551), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (552) unit = e4
% 24.13/6.27 |
% 24.13/6.27 | From (552) and (121) follows:
% 24.13/6.27 | (1035) op(e4, e3) = e3
% 24.13/6.27 |
% 24.13/6.27 | From (552) and (95) follows:
% 24.13/6.27 | (1036) op(e4, e4) = e4
% 24.13/6.27 |
% 24.13/6.27 | From (552) and (172) follows:
% 24.13/6.27 | (2832) op(e1, e4) = e1
% 24.13/6.27 |
% 24.13/6.27 | From (552) and (175) follows:
% 24.13/6.27 | (555) op(e0, e4) = e0
% 24.13/6.27 |
% 24.13/6.27 | Instantiating formula (105) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields:
% 24.13/6.27 | (373) e4 = e3
% 24.13/6.27 |
% 24.13/6.27 | Instantiating formula (105) with e4, e3, e3, e2 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e2, yields:
% 24.13/6.27 | (287) e3 = e2
% 24.13/6.27 |
% 24.13/6.27 | Instantiating formula (105) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields:
% 24.13/6.27 | (560) e2 = e1
% 24.13/6.27 |
% 24.13/6.27 | Instantiating formula (105) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields:
% 24.13/6.27 | (248) e4 = e0
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (248,373) yields a new equation:
% 24.13/6.27 | (282) e3 = e0
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (282,287) yields a new equation:
% 24.13/6.27 | (327) e2 = e0
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (560,327) yields a new equation:
% 24.13/6.27 | (587) e1 = e0
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 587 yields:
% 24.13/6.27 | (561) e1 = e0
% 24.13/6.27 |
% 24.13/6.27 | Equations (561) can reduce 109 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (438) ~ (unit = e4)
% 24.13/6.27 | (564) unit = e3 | unit = e1 | unit = e0
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (564), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (565) unit = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (565) can reduce 463 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (463) ~ (unit = e1)
% 24.13/6.27 | (576) unit = e3 | unit = e0
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (576), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (577) unit = e0
% 24.13/6.27 |
% 24.13/6.27 | From (577) and (100) follows:
% 24.13/6.27 | (2851) op(e0, e1) = e1
% 24.13/6.27 |
% 24.13/6.27 | Instantiating formula (105) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 24.13/6.27 | (420) e3 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (420) can reduce 111 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (489) ~ (unit = e0)
% 24.13/6.27 | (591) unit = e3
% 24.13/6.27 |
% 24.13/6.27 | From (591) and (169) follows:
% 24.13/6.27 | (1079) op(e3, e4) = e4
% 24.13/6.27 |
% 24.13/6.27 | From (591) and (100) follows:
% 24.13/6.27 | (592) op(e3, e1) = e1
% 24.13/6.27 |
% 24.13/6.27 | From (591) and (95) follows:
% 24.13/6.27 | (2858) op(e4, e3) = e4
% 24.13/6.27 |
% 24.13/6.27 | From (591) and (102) follows:
% 24.13/6.27 | (1080) op(e3, e3) = e3
% 24.13/6.27 |
% 24.13/6.27 | Instantiating formula (105) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 24.13/6.27 | (254) e4 = e2
% 24.13/6.27 |
% 24.13/6.27 | Instantiating formula (105) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields:
% 24.13/6.27 | (248) e4 = e0
% 24.13/6.27 |
% 24.13/6.27 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 24.13/6.27 | (373) e4 = e3
% 24.13/6.27 |
% 24.13/6.27 | Instantiating formula (105) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields:
% 24.13/6.27 | (560) e2 = e1
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (248,373) yields a new equation:
% 24.13/6.27 | (282) e3 = e0
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (254,373) yields a new equation:
% 24.13/6.27 | (287) e3 = e2
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (287,282) yields a new equation:
% 24.13/6.27 | (339) e2 = e0
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 339 yields:
% 24.13/6.27 | (327) e2 = e0
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (327,560) yields a new equation:
% 24.13/6.27 | (561) e1 = e0
% 24.13/6.27 |
% 24.13/6.27 | Equations (561) can reduce 109 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (1015) ~ (all_0_17_17 = e1)
% 24.13/6.27 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (2871), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (330) all_0_17_17 = e0
% 24.13/6.27 |
% 24.13/6.27 | Equations (330) can reduce 2482 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (2482) ~ (all_0_17_17 = e0)
% 24.13/6.27 | (1181) all_0_17_17 = e3
% 24.13/6.27 |
% 24.13/6.27 | Equations (1181) can reduce 2752 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (2877) ~ (all_0_19_19 = e3)
% 24.13/6.27 | (1495) all_0_20_20 = e3
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (1495,1492) yields a new equation:
% 24.13/6.27 | (281) e3 = e0
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 281 yields:
% 24.13/6.27 | (282) e3 = e0
% 24.13/6.27 |
% 24.13/6.27 | Equations (282) can reduce 54 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (614) ~ (all_0_8_8 = e1)
% 24.13/6.27 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (148), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (1202) all_0_16_16 = e3
% 24.13/6.27 |
% 24.13/6.27 | Equations (1202) can reduce 405 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (405) ~ (all_0_16_16 = e3)
% 24.13/6.27 | (2211) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (156), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (535) all_0_4_4 = e2
% 24.13/6.27 |
% 24.13/6.27 | Equations (535) can reduce 625 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (625) ~ (all_0_4_4 = e2)
% 24.13/6.27 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (59), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (1820) all_0_17_17 = e2
% 24.13/6.27 |
% 24.13/6.27 | Equations (1820) can reduce 315 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (315) ~ (all_0_17_17 = e2)
% 24.13/6.27 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (48), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (1659) all_0_0_0 = e4
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (1659,788) yields a new equation:
% 24.13/6.27 | (1217) e4 = e3
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 1217 yields:
% 24.13/6.27 | (373) e4 = e3
% 24.13/6.27 |
% 24.13/6.27 | Equations (373) can reduce 23 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (1663) ~ (all_0_0_0 = e4)
% 24.13/6.27 | (1664) all_0_2_2 = e4 | all_0_3_3 = e4 | all_0_4_4 = e4
% 24.13/6.27 |
% 24.13/6.27 | Equations (788) can reduce 1663 to:
% 24.13/6.27 | (408) ~ (e4 = e3)
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 408 yields:
% 24.13/6.27 | (23) ~ (e4 = e3)
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (63), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (1659) all_0_0_0 = e4
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (1659,788) yields a new equation:
% 24.13/6.27 | (1217) e4 = e3
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 1217 yields:
% 24.13/6.27 | (373) e4 = e3
% 24.13/6.27 |
% 24.13/6.27 | Equations (373) can reduce 23 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (1663) ~ (all_0_0_0 = e4)
% 24.13/6.27 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (1664), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (246) all_0_2_2 = e4
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (246,236) yields a new equation:
% 24.13/6.27 | (247) e4 = e0
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 247 yields:
% 24.13/6.27 | (248) e4 = e0
% 24.13/6.27 |
% 24.13/6.27 | Equations (248) can reduce 4 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (250) ~ (all_0_2_2 = e4)
% 24.13/6.27 | (1702) all_0_3_3 = e4 | all_0_4_4 = e4
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (1702), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (364) all_0_3_3 = e4
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (364,695) yields a new equation:
% 24.13/6.27 | (493) e4 = e1
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 493 yields:
% 24.13/6.27 | (494) e4 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (494) can reduce 207 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (1220) ~ (all_0_3_3 = e4)
% 24.13/6.27 | (630) all_0_4_4 = e4
% 24.13/6.27 |
% 24.13/6.27 | Equations (630) can reduce 78 to:
% 24.13/6.27 | (3912) ~ (all_0_15_15 = e4)
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 3912 yields:
% 24.13/6.27 | (442) ~ (all_0_15_15 = e4)
% 24.13/6.27 |
% 24.13/6.27 | Equations (630) can reduce 625 to:
% 24.13/6.27 | (194) ~ (e4 = e2)
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (1678), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (353) all_0_8_8 = e4
% 24.13/6.27 |
% 24.13/6.27 | Equations (353) can reduce 1227 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (1227) ~ (all_0_8_8 = e4)
% 24.13/6.27 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (1695), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (360) all_0_12_12 = e4
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (732,360) yields a new equation:
% 24.13/6.27 | (254) e4 = e2
% 24.13/6.27 |
% 24.13/6.27 | Equations (254) can reduce 194 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (357) ~ (all_0_12_12 = e4)
% 24.13/6.27 | (1894) all_0_16_16 = e4
% 24.13/6.27 |
% 24.13/6.27 | Equations (1894) can reduce 211 to:
% 24.13/6.27 | (10657) ~ (all_0_17_17 = e4)
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 10657 yields:
% 24.13/6.27 | (163) ~ (all_0_17_17 = e4)
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (37), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (538) all_0_0_0 = e1
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (538,788) yields a new equation:
% 24.13/6.27 | (420) e3 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (420) can reduce 111 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (595) ~ (all_0_0_0 = e1)
% 24.13/6.27 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (788) can reduce 595 to:
% 24.13/6.27 | (111) ~ (e3 = e1)
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (423), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (429) all_0_13_13 = e1
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (868,429) yields a new equation:
% 24.13/6.27 | (419) e3 = e1
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 419 yields:
% 24.13/6.27 | (420) e3 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (420) can reduce 111 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (458) ~ (all_0_13_13 = e1)
% 24.13/6.27 | (482) all_0_15_15 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (482) can reduce 40 to:
% 24.13/6.27 | (2079) ~ (all_0_20_20 = e1)
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 2079 yields:
% 24.13/6.27 | (461) ~ (all_0_20_20 = e1)
% 24.13/6.27 |
% 24.13/6.27 | Equations (482) can reduce 442 to:
% 24.13/6.27 | (383) ~ (e4 = e1)
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 383 yields:
% 24.13/6.27 | (207) ~ (e4 = e1)
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (4140), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (3098) all_0_7_7 = e0
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (3098,290) yields a new equation:
% 24.13/6.27 | (282) e3 = e0
% 24.13/6.27 |
% 24.13/6.27 | Equations (282) can reduce 54 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (270) ~ (all_0_7_7 = e0)
% 24.13/6.27 | (4146) all_0_11_11 = e0 | all_0_20_20 = e0
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (4146), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (343) all_0_11_11 = e0
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (818,343) yields a new equation:
% 24.13/6.27 | (339) e2 = e0
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 339 yields:
% 24.13/6.27 | (327) e2 = e0
% 24.13/6.27 |
% 24.13/6.27 | Equations (327) can reduce 39 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (2480) ~ (all_0_11_11 = e0)
% 24.13/6.27 | (1492) all_0_20_20 = e0
% 24.13/6.27 |
% 24.13/6.27 | Equations (1492) can reduce 297 to:
% 24.13/6.27 | (240) ~ (e3 = e0)
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 240 yields:
% 24.13/6.27 | (54) ~ (e3 = e0)
% 24.13/6.27 |
% 24.13/6.27 | Equations (1492) can reduce 461 to:
% 24.13/6.27 | (578) ~ (e1 = e0)
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 578 yields:
% 24.13/6.27 | (109) ~ (e1 = e0)
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (153), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (621) all_0_16_16 = e1
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (1894,621) yields a new equation:
% 24.13/6.27 | (493) e4 = e1
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 493 yields:
% 24.13/6.27 | (494) e4 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (494) can reduce 207 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (525) ~ (all_0_16_16 = e1)
% 24.13/6.27 | (911) all_0_17_17 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (2211), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (1181) all_0_17_17 = e3
% 24.13/6.27 |
% 24.13/6.27 | Equations (1181) can reduce 2752 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (2752) ~ (all_0_17_17 = e3)
% 24.13/6.27 | (2803) all_0_19_19 = e3 | all_0_20_20 = e3
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (2803), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (404) all_0_19_19 = e3
% 24.13/6.27 |
% 24.13/6.27 | Equations (404) can reduce 382 to:
% 24.13/6.27 | (111) ~ (e3 = e1)
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (911), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (1012) all_0_17_17 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (1012) can reduce 163 to:
% 24.13/6.27 | (383) ~ (e4 = e1)
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 383 yields:
% 24.13/6.27 | (207) ~ (e4 = e1)
% 24.13/6.27 |
% 24.13/6.27 | Equations (1012) can reduce 315 to:
% 24.13/6.27 | (530) ~ (e2 = e1)
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 530 yields:
% 24.13/6.27 | (114) ~ (e2 = e1)
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (600), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (611) all_0_8_8 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (611) can reduce 614 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (614) ~ (all_0_8_8 = e1)
% 24.13/6.27 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 24.13/6.27 |
% 24.13/6.27 +-Applying beta-rule and splitting (615), into two cases.
% 24.13/6.27 |-Branch one:
% 24.13/6.27 | (418) all_0_12_12 = e1
% 24.13/6.27 |
% 24.13/6.27 | Combining equations (732,418) yields a new equation:
% 24.13/6.27 | (559) e2 = e1
% 24.13/6.27 |
% 24.13/6.27 | Simplifying 559 yields:
% 24.13/6.27 | (560) e2 = e1
% 24.13/6.27 |
% 24.13/6.27 | Equations (560) can reduce 114 to:
% 24.13/6.27 | (243) $false
% 24.13/6.27 |
% 24.13/6.27 |-The branch is then unsatisfiable
% 24.13/6.27 |-Branch two:
% 24.13/6.27 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.27 | (621) all_0_16_16 = e1
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (1894,621) yields a new equation:
% 24.13/6.28 | (493) e4 = e1
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 493 yields:
% 24.13/6.28 | (494) e4 = e1
% 24.13/6.28 |
% 24.13/6.28 | Equations (494) can reduce 207 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (1015) ~ (all_0_17_17 = e1)
% 24.13/6.28 | (1016) all_0_19_19 = e1 | all_0_20_20 = e1
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (1016), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (1017) all_0_19_19 = e1
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (404,1017) yields a new equation:
% 24.13/6.28 | (419) e3 = e1
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 419 yields:
% 24.13/6.28 | (420) e3 = e1
% 24.13/6.28 |
% 24.13/6.28 | Equations (420) can reduce 111 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (382) ~ (all_0_19_19 = e1)
% 24.13/6.28 | (523) all_0_20_20 = e1
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (523,1492) yields a new equation:
% 24.13/6.28 | (587) e1 = e0
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 587 yields:
% 24.13/6.28 | (561) e1 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (561) can reduce 109 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (2877) ~ (all_0_19_19 = e3)
% 24.13/6.28 | (1495) all_0_20_20 = e3
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (1495,1492) yields a new equation:
% 24.13/6.28 | (281) e3 = e0
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 281 yields:
% 24.13/6.28 | (282) e3 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (282) can reduce 54 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (313) ~ (all_0_11_11 = e2)
% 24.13/6.28 | (2486) all_0_11_11 = e4 | all_0_11_11 = e1 | all_0_11_11 = e0
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (2486), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (2395) all_0_11_11 = e4
% 24.13/6.28 |
% 24.13/6.28 | Equations (2395) can reduce 2559 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (2559) ~ (all_0_11_11 = e4)
% 24.13/6.28 | (2560) all_0_11_11 = e1 | all_0_11_11 = e0
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (2560), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (1145) all_0_11_11 = e1
% 24.13/6.28 |
% 24.13/6.28 | Equations (1145) can reduce 462 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (462) ~ (all_0_11_11 = e1)
% 24.13/6.28 | (343) all_0_11_11 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (343) can reduce 2480 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (355) ~ (all_0_10_10 = e4)
% 24.13/6.28 | (380) all_0_10_10 = e1
% 24.13/6.28 |
% 24.13/6.28 | Equations (380) can reduce 2075 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (698) ~ (all_0_3_3 = e1)
% 24.13/6.28 | (634) all_0_4_4 = e1
% 24.13/6.28 |
% 24.13/6.28 | Equations (634) can reduce 464 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (414) ~ (all_0_0_0 = e3)
% 24.13/6.28 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (791), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 24.13/6.28 |
% 24.13/6.28 | Applying alpha-rule on (796) yields:
% 24.13/6.28 | (797) all_0_0_0 = e0
% 24.13/6.28 | (792) all_0_20_20 = e4
% 24.13/6.28 | (392) ~ (all_0_4_4 = e4)
% 24.13/6.28 |
% 24.13/6.28 | Equations (797) can reduce 268 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Applying alpha-rule on (801) yields:
% 24.13/6.28 | (797) all_0_0_0 = e0
% 24.13/6.28 | (792) all_0_20_20 = e4
% 24.13/6.28 | (276) ~ (all_0_16_16 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Equations (797) can reduce 268 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (226) ~ (all_0_12_12 = e2)
% 24.13/6.28 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (91), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (418) all_0_12_12 = e1
% 24.13/6.28 |
% 24.13/6.28 | Equations (418) can reduce 422 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.28 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (423), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (429) all_0_13_13 = e1
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (868,429) yields a new equation:
% 24.13/6.28 | (419) e3 = e1
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 419 yields:
% 24.13/6.28 | (420) e3 = e1
% 24.13/6.28 |
% 24.13/6.28 | Equations (420) can reduce 111 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (458) ~ (all_0_13_13 = e1)
% 24.13/6.28 | (482) all_0_15_15 = e1
% 24.13/6.28 |
% 24.13/6.28 | Equations (482) can reduce 36 to:
% 24.13/6.28 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (875), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (360) all_0_12_12 = e4
% 24.13/6.28 |
% 24.13/6.28 | Equations (360) can reduce 357 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (357) ~ (all_0_12_12 = e4)
% 24.13/6.28 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (899), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (418) all_0_12_12 = e1
% 24.13/6.28 |
% 24.13/6.28 | Equations (418) can reduce 422 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.28 | (413) all_0_12_12 = e3
% 24.13/6.28 |
% 24.13/6.28 | Equations (413) can reduce 472 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Applying alpha-rule on (467) yields:
% 24.13/6.28 | (468) ~ (all_0_7_7 = e3)
% 24.13/6.28 | (405) ~ (all_0_16_16 = e3)
% 24.13/6.28 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.13/6.28 | (295) ~ (all_0_15_15 = e3)
% 24.13/6.28 | (472) ~ (all_0_12_12 = e3)
% 24.13/6.28 | (289) ~ (all_0_6_6 = e3)
% 24.13/6.28 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.13/6.28 | (475) ~ (unit = e3)
% 24.13/6.28 | (307) all_0_9_9 = e2
% 24.13/6.28 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.13/6.28 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.13/6.28 | (414) ~ (all_0_0_0 = e3)
% 24.13/6.28 |
% 24.13/6.28 | Equations (307) can reduce 2398 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Applying alpha-rule on (481) yields:
% 24.13/6.28 | (482) all_0_15_15 = e1
% 24.13/6.28 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.13/6.28 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.13/6.28 | (329) ~ (all_0_9_9 = e0)
% 24.13/6.28 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.13/6.28 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.13/6.28 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.13/6.28 | (489) ~ (unit = e0)
% 24.13/6.28 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.13/6.28 | (491) ~ (all_0_5_5 = e0)
% 24.13/6.28 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.13/6.28 |
% 24.13/6.28 | Equations (267) can reduce 491 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.13/6.28 |
% 24.13/6.28 | Applying alpha-rule on (496) yields:
% 24.13/6.28 | (308) ~ (all_0_1_1 = e2)
% 24.13/6.28 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.13/6.28 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.13/6.28 | (214) ~ (all_0_5_5 = e2)
% 24.13/6.28 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.13/6.28 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.13/6.28 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.13/6.28 | (213) ~ (all_0_3_3 = e2)
% 24.13/6.28 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.13/6.28 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.13/6.28 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.13/6.28 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.13/6.28 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.13/6.28 | (309) ~ (all_0_8_8 = e2)
% 24.13/6.28 | (220) ~ (all_0_19_19 = e2)
% 24.13/6.28 | (315) ~ (all_0_17_17 = e2)
% 24.13/6.28 | (216) ~ (all_0_7_7 = e2)
% 24.13/6.28 | (218) ~ (all_0_10_10 = e2)
% 24.13/6.28 | (227) ~ (all_0_13_13 = e2)
% 24.13/6.28 | (229) ~ (all_0_15_15 = e2)
% 24.13/6.28 | (313) ~ (all_0_11_11 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Equations (741) can reduce 308 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (308) ~ (all_0_1_1 = e2)
% 24.13/6.28 | (2925) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (2925), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (307) all_0_9_9 = e2
% 24.13/6.28 |
% 24.13/6.28 | Equations (307) can reduce 110 to:
% 24.13/6.28 | (308) ~ (all_0_1_1 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Equations (307) can reduce 14 to:
% 24.13/6.28 | (312) ~ (all_0_11_11 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 312 yields:
% 24.13/6.28 | (313) ~ (all_0_11_11 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Equations (307) can reduce 137 to:
% 24.13/6.28 | (7959) ~ (all_0_13_13 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 7959 yields:
% 24.13/6.28 | (227) ~ (all_0_13_13 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Equations (307) can reduce 127 to:
% 24.13/6.28 | (221) ~ (e4 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 221 yields:
% 24.13/6.28 | (194) ~ (e4 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Equations (307) can reduce 58 to:
% 24.13/6.28 | (232) ~ (e3 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 232 yields:
% 24.13/6.28 | (183) ~ (e3 = e2)
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (176), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (322) all_0_1_1 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (322) can reduce 237 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (237) ~ (all_0_1_1 = e0)
% 24.13/6.28 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (132), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (318) all_0_8_8 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (318) can reduce 272 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (272) ~ (all_0_8_8 = e0)
% 24.13/6.28 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (321), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (326) all_0_9_9 = e0
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (326,307) yields a new equation:
% 24.13/6.28 | (327) e2 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (327) can reduce 39 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (329) ~ (all_0_9_9 = e0)
% 24.13/6.28 | (343) all_0_11_11 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (343) can reduce 7 to:
% 24.13/6.28 | (272) ~ (all_0_8_8 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Equations (343) can reduce 155 to:
% 24.13/6.28 | (144) ~ (all_0_10_10 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Equations (343) can reduce 25 to:
% 24.13/6.28 | (346) ~ (all_0_15_15 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 346 yields:
% 24.13/6.28 | (151) ~ (all_0_15_15 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Equations (343) can reduce 30 to:
% 24.13/6.28 | (240) ~ (e3 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 240 yields:
% 24.13/6.28 | (54) ~ (e3 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Equations (343) can reduce 313 to:
% 24.13/6.28 | (277) ~ (e2 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 277 yields:
% 24.13/6.28 | (39) ~ (e2 = e0)
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (325), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (326) all_0_9_9 = e0
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (307,326) yields a new equation:
% 24.13/6.28 | (339) e2 = e0
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 339 yields:
% 24.13/6.28 | (327) e2 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (327) can reduce 39 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (329) ~ (all_0_9_9 = e0)
% 24.13/6.28 | (330) all_0_17_17 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (330) can reduce 19 to:
% 24.13/6.28 | (21) ~ (all_0_13_13 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Equations (330) can reduce 211 to:
% 24.13/6.28 | (276) ~ (all_0_16_16 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Equations (330) can reduce 163 to:
% 24.13/6.28 | (334) ~ (e4 = e0)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 334 yields:
% 24.13/6.28 | (4) ~ (e4 = e0)
% 24.13/6.28 |
% 24.13/6.28 | From (330) and (208) follows:
% 24.13/6.28 | (3463) op(e0, e3) = e0
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (75), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (732) all_0_12_12 = e2
% 24.13/6.28 |
% 24.13/6.28 | Equations (732) can reduce 80 to:
% 24.13/6.28 | (536) ~ (all_0_0_0 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Equations (732) can reduce 189 to:
% 24.13/6.28 | (1540) ~ (all_0_16_16 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 1540 yields:
% 24.13/6.28 | (542) ~ (all_0_16_16 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Equations (732) can reduce 357 to:
% 24.13/6.28 | (221) ~ (e4 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 221 yields:
% 24.13/6.28 | (194) ~ (e4 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Equations (732) can reduce 210 to:
% 24.13/6.28 | (39) ~ (e2 = e0)
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (129), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (413) all_0_12_12 = e3
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (732,413) yields a new equation:
% 24.13/6.28 | (287) e3 = e2
% 24.13/6.28 |
% 24.13/6.28 | Equations (287) can reduce 183 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (472) ~ (all_0_12_12 = e3)
% 24.13/6.28 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (83), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (672) all_0_0_0 = e2
% 24.13/6.28 |
% 24.13/6.28 | Equations (672) can reduce 536 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (536) ~ (all_0_0_0 = e2)
% 24.13/6.28 | (711) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (711), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (741) all_0_1_1 = e2
% 24.13/6.28 |
% 24.13/6.28 | Equations (741) can reduce 308 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (308) ~ (all_0_1_1 = e2)
% 24.13/6.28 | (745) all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (745), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (750) all_0_2_2 = e2
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (750,236) yields a new equation:
% 24.13/6.28 | (339) e2 = e0
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 339 yields:
% 24.13/6.28 | (327) e2 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (327) can reduce 39 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (225) ~ (all_0_2_2 = e2)
% 24.13/6.28 | (754) all_0_3_3 = e2 | all_0_4_4 = e2
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (754), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (755) all_0_3_3 = e2
% 24.13/6.28 |
% 24.13/6.28 | Equations (755) can reduce 213 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (213) ~ (all_0_3_3 = e2)
% 24.13/6.28 | (535) all_0_4_4 = e2
% 24.13/6.28 |
% 24.13/6.28 | Equations (535) can reduce 26 to:
% 24.13/6.28 | (782) ~ (all_0_20_20 = e2)
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 782 yields:
% 24.13/6.28 | (522) ~ (all_0_20_20 = e2)
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (52), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (630) all_0_4_4 = e4
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (630,535) yields a new equation:
% 24.13/6.28 | (253) e4 = e2
% 24.13/6.28 |
% 24.13/6.28 | Simplifying 253 yields:
% 24.13/6.28 | (254) e4 = e2
% 24.13/6.28 |
% 24.13/6.28 | Equations (254) can reduce 194 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (392) ~ (all_0_4_4 = e4)
% 24.13/6.28 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (2004), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (2395) all_0_11_11 = e4
% 24.13/6.28 |
% 24.13/6.28 | Combining equations (343,2395) yields a new equation:
% 24.13/6.28 | (248) e4 = e0
% 24.13/6.28 |
% 24.13/6.28 | Equations (248) can reduce 4 to:
% 24.13/6.28 | (243) $false
% 24.13/6.28 |
% 24.13/6.28 |-The branch is then unsatisfiable
% 24.13/6.28 |-Branch two:
% 24.13/6.28 | (2559) ~ (all_0_11_11 = e4)
% 24.13/6.28 | (3020) all_0_15_15 = e4 | all_0_20_20 = e4
% 24.13/6.28 |
% 24.13/6.28 +-Applying beta-rule and splitting (3020), into two cases.
% 24.13/6.28 |-Branch one:
% 24.13/6.28 | (391) all_0_15_15 = e4
% 24.13/6.28 |
% 24.13/6.29 | Equations (391) can reduce 442 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (442) ~ (all_0_15_15 = e4)
% 24.13/6.29 | (792) all_0_20_20 = e4
% 24.13/6.29 |
% 24.13/6.29 | Equations (792) can reduce 40 to:
% 24.13/6.29 | (442) ~ (all_0_15_15 = e4)
% 24.13/6.29 |
% 24.13/6.29 | Equations (792) can reduce 81 to:
% 24.13/6.29 | (258) ~ (all_0_16_16 = e4)
% 24.13/6.29 |
% 24.13/6.29 | Equations (792) can reduce 158 to:
% 24.13/6.29 | (261) ~ (all_0_19_19 = e4)
% 24.13/6.29 |
% 24.13/6.29 | Equations (792) can reduce 522 to:
% 24.13/6.29 | (194) ~ (e4 = e2)
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (18), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (523) all_0_20_20 = e1
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (792,523) yields a new equation:
% 24.13/6.29 | (493) e4 = e1
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 493 yields:
% 24.13/6.29 | (494) e4 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (494) can reduce 207 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (461) ~ (all_0_20_20 = e1)
% 24.13/6.29 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (871), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (868) all_0_13_13 = e3
% 24.13/6.29 |
% 24.13/6.29 | Equations (868) can reduce 97 to:
% 24.13/6.29 | (408) ~ (e4 = e3)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 408 yields:
% 24.13/6.29 | (23) ~ (e4 = e3)
% 24.13/6.29 |
% 24.13/6.29 | From (868) and (51) follows:
% 24.13/6.29 | (567) op(e1, e3) = e3
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (780), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (788) all_0_0_0 = e3
% 24.13/6.29 |
% 24.13/6.29 | Equations (788) can reduce 85 to:
% 24.13/6.29 | (2761) ~ (all_0_3_3 = e3)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 2761 yields:
% 24.13/6.29 | (375) ~ (all_0_3_3 = e3)
% 24.13/6.29 |
% 24.13/6.29 | Equations (788) can reduce 188 to:
% 24.13/6.29 | (1883) ~ (all_0_16_16 = e3)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 1883 yields:
% 24.13/6.29 | (405) ~ (all_0_16_16 = e3)
% 24.13/6.29 |
% 24.13/6.29 | Equations (788) can reduce 268 to:
% 24.13/6.29 | (54) ~ (e3 = e0)
% 24.13/6.29 |
% 24.13/6.29 | From (788) and (201) follows:
% 24.13/6.29 | (882) op(e4, e4) = e3
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (154), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (532) all_0_16_16 = e2
% 24.13/6.29 |
% 24.13/6.29 | Equations (532) can reduce 542 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (542) ~ (all_0_16_16 = e2)
% 24.13/6.29 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (63), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (1659) all_0_0_0 = e4
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (1659,788) yields a new equation:
% 24.13/6.29 | (1217) e4 = e3
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 1217 yields:
% 24.13/6.29 | (373) e4 = e3
% 24.13/6.29 |
% 24.13/6.29 | Equations (373) can reduce 23 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (1663) ~ (all_0_0_0 = e4)
% 24.13/6.29 | (1678) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_16_16 = e4
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (1678), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (353) all_0_8_8 = e4
% 24.13/6.29 |
% 24.13/6.29 | Equations (353) can reduce 38 to:
% 24.13/6.29 | (354) ~ (all_0_10_10 = e4)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 354 yields:
% 24.13/6.29 | (355) ~ (all_0_10_10 = e4)
% 24.13/6.29 |
% 24.13/6.29 | Equations (353) can reduce 187 to:
% 24.13/6.29 | (1892) ~ (all_0_16_16 = e4)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 1892 yields:
% 24.13/6.29 | (258) ~ (all_0_16_16 = e4)
% 24.13/6.29 |
% 24.13/6.29 | From (353) and (27) follows:
% 24.13/6.29 | (359) op(e2, e4) = e4
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (715), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (1894) all_0_16_16 = e4
% 24.13/6.29 |
% 24.13/6.29 | Equations (1894) can reduce 258 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (258) ~ (all_0_16_16 = e4)
% 24.13/6.29 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (1897), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (621) all_0_16_16 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (621) can reduce 405 to:
% 24.13/6.29 | (528) ~ (e3 = e1)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 528 yields:
% 24.13/6.29 | (111) ~ (e3 = e1)
% 24.13/6.29 |
% 24.13/6.29 | Equations (621) can reduce 542 to:
% 24.13/6.29 | (530) ~ (e2 = e1)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 530 yields:
% 24.13/6.29 | (114) ~ (e2 = e1)
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (140), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (372) all_0_3_3 = e3
% 24.13/6.29 |
% 24.13/6.29 | Equations (372) can reduce 375 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (375) ~ (all_0_3_3 = e3)
% 24.13/6.29 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (91), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (418) all_0_12_12 = e1
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (732,418) yields a new equation:
% 24.13/6.29 | (559) e2 = e1
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 559 yields:
% 24.13/6.29 | (560) e2 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (560) can reduce 114 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.29 | (423) all_0_13_13 = e1 | all_0_15_15 = e1
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (115), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (364) all_0_3_3 = e4
% 24.13/6.29 |
% 24.13/6.29 | Equations (364) can reduce 135 to:
% 24.13/6.29 | (260) ~ (all_0_19_19 = e4)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 260 yields:
% 24.13/6.29 | (261) ~ (all_0_19_19 = e4)
% 24.13/6.29 |
% 24.13/6.29 | From (364) and (185) follows:
% 24.13/6.29 | (371) op(e4, e1) = e4
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (423), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (429) all_0_13_13 = e1
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (868,429) yields a new equation:
% 24.13/6.29 | (419) e3 = e1
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 419 yields:
% 24.13/6.29 | (420) e3 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (420) can reduce 111 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (458) ~ (all_0_13_13 = e1)
% 24.13/6.29 | (482) all_0_15_15 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (482) can reduce 442 to:
% 24.13/6.29 | (383) ~ (e4 = e1)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 383 yields:
% 24.13/6.29 | (207) ~ (e4 = e1)
% 24.13/6.29 |
% 24.13/6.29 | Equations (482) can reduce 151 to:
% 24.13/6.29 | (109) ~ (e1 = e0)
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (65), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (1262) all_0_19_19 = e2
% 24.13/6.29 |
% 24.13/6.29 | Equations (1262) can reduce 220 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (220) ~ (all_0_19_19 = e2)
% 24.13/6.29 | (1265) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (72), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (433), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (434), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (435), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.13/6.29 |
% 24.13/6.29 | Applying alpha-rule on (436) yields:
% 24.13/6.29 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.13/6.29 | (438) ~ (unit = e4)
% 24.13/6.29 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.13/6.29 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.13/6.29 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.13/6.29 | (442) ~ (all_0_15_15 = e4)
% 24.13/6.29 | (280) all_0_5_5 = e3
% 24.13/6.29 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.13/6.29 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.13/6.29 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.13/6.29 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.13/6.29 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (267,280) yields a new equation:
% 24.13/6.29 | (282) e3 = e0
% 24.13/6.29 |
% 24.13/6.29 | Equations (282) can reduce 54 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.13/6.29 |
% 24.13/6.29 | Applying alpha-rule on (452) yields:
% 24.13/6.29 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.13/6.29 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.13/6.29 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.29 | (212) all_0_6_6 = e2
% 24.13/6.29 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.13/6.29 | (458) ~ (all_0_13_13 = e1)
% 24.13/6.29 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.13/6.29 | (460) ~ (all_0_9_9 = e1)
% 24.13/6.29 | (461) ~ (all_0_20_20 = e1)
% 24.13/6.29 | (462) ~ (all_0_11_11 = e1)
% 24.13/6.29 | (463) ~ (unit = e1)
% 24.13/6.29 | (464) ~ (all_0_4_4 = e1)
% 24.13/6.29 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (1265), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (1225) all_0_19_19 = e4
% 24.13/6.29 |
% 24.13/6.29 | Equations (1225) can reduce 261 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (261) ~ (all_0_19_19 = e4)
% 24.13/6.29 | (1269) all_0_19_19 = e3 | all_0_19_19 = e1
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (453), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (525) ~ (all_0_16_16 = e1)
% 24.13/6.29 |
% 24.13/6.29 | Equations (621) can reduce 525 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (621) all_0_16_16 = e1
% 24.13/6.29 | (1225) all_0_19_19 = e4
% 24.13/6.29 |
% 24.13/6.29 | Equations (1225) can reduce 261 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.13/6.29 |
% 24.13/6.29 | Applying alpha-rule on (467) yields:
% 24.13/6.29 | (468) ~ (all_0_7_7 = e3)
% 24.13/6.29 | (405) ~ (all_0_16_16 = e3)
% 24.13/6.29 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.13/6.29 | (295) ~ (all_0_15_15 = e3)
% 24.13/6.29 | (472) ~ (all_0_12_12 = e3)
% 24.13/6.29 | (289) ~ (all_0_6_6 = e3)
% 24.13/6.29 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.13/6.29 | (475) ~ (unit = e3)
% 24.13/6.29 | (307) all_0_9_9 = e2
% 24.13/6.29 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.13/6.29 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.13/6.29 | (414) ~ (all_0_0_0 = e3)
% 24.13/6.29 |
% 24.13/6.29 | Equations (290) can reduce 468 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.13/6.29 |
% 24.13/6.29 | Applying alpha-rule on (481) yields:
% 24.13/6.29 | (482) all_0_15_15 = e1
% 24.13/6.29 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.13/6.29 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.13/6.29 | (329) ~ (all_0_9_9 = e0)
% 24.13/6.29 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.13/6.29 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.13/6.29 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.13/6.29 | (489) ~ (unit = e0)
% 24.13/6.29 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.13/6.29 | (491) ~ (all_0_5_5 = e0)
% 24.13/6.29 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.13/6.29 |
% 24.13/6.29 | Equations (267) can reduce 491 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.13/6.29 |
% 24.13/6.29 | Applying alpha-rule on (496) yields:
% 24.13/6.29 | (308) ~ (all_0_1_1 = e2)
% 24.13/6.29 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.13/6.29 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.13/6.29 | (214) ~ (all_0_5_5 = e2)
% 24.13/6.29 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.13/6.29 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.13/6.29 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.13/6.29 | (213) ~ (all_0_3_3 = e2)
% 24.13/6.29 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.13/6.29 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.13/6.29 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.13/6.29 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.13/6.29 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.13/6.29 | (309) ~ (all_0_8_8 = e2)
% 24.13/6.29 | (220) ~ (all_0_19_19 = e2)
% 24.13/6.29 | (315) ~ (all_0_17_17 = e2)
% 24.13/6.29 | (216) ~ (all_0_7_7 = e2)
% 24.13/6.29 | (218) ~ (all_0_10_10 = e2)
% 24.13/6.29 | (227) ~ (all_0_13_13 = e2)
% 24.13/6.29 | (229) ~ (all_0_15_15 = e2)
% 24.13/6.29 | (313) ~ (all_0_11_11 = e2)
% 24.13/6.29 |
% 24.13/6.29 | Equations (868) can reduce 227 to:
% 24.13/6.29 | (183) ~ (e3 = e2)
% 24.13/6.29 |
% 24.13/6.29 | Equations (482) can reduce 229 to:
% 24.13/6.29 | (530) ~ (e2 = e1)
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 530 yields:
% 24.13/6.29 | (114) ~ (e2 = e1)
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (503), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (231) ~ (all_0_18_18 = e2)
% 24.13/6.29 |
% 24.13/6.29 | Equations (242) can reduce 231 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (242) all_0_18_18 = e2
% 24.13/6.29 | (547) ~ (unit = e2)
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (104), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (695) all_0_3_3 = e1
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (695,364) yields a new equation:
% 24.13/6.29 | (494) e4 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (494) can reduce 207 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (698) ~ (all_0_3_3 = e1)
% 24.13/6.29 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (364) can reduce 698 to:
% 24.13/6.29 | (207) ~ (e4 = e1)
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (376), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (286) all_0_6_6 = e3
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (212,286) yields a new equation:
% 24.13/6.29 | (287) e3 = e2
% 24.13/6.29 |
% 24.13/6.29 | Equations (287) can reduce 183 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (289) ~ (all_0_6_6 = e3)
% 24.13/6.29 | (404) all_0_19_19 = e3
% 24.13/6.29 |
% 24.13/6.29 | From (404) and (168) follows:
% 24.13/6.29 | (412) op(e0, e1) = e3
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (164), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (611) all_0_8_8 = e1
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (611,353) yields a new equation:
% 24.13/6.29 | (494) e4 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (494) can reduce 207 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (614) ~ (all_0_8_8 = e1)
% 24.13/6.29 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (2384), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (1290) all_0_9_9 = e1
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (307,1290) yields a new equation:
% 24.13/6.29 | (559) e2 = e1
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 559 yields:
% 24.13/6.29 | (560) e2 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (560) can reduce 114 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (460) ~ (all_0_9_9 = e1)
% 24.13/6.29 | (2470) all_0_10_10 = e1 | all_0_11_11 = e1
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (2470), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (380) all_0_10_10 = e1
% 24.13/6.29 |
% 24.13/6.29 | Equations (380) can reduce 144 to:
% 24.13/6.29 | (109) ~ (e1 = e0)
% 24.13/6.29 |
% 24.13/6.29 | From (380) and (128) follows:
% 24.13/6.29 | (385) op(e2, e1) = e1
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (46), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (548) unit = e2
% 24.13/6.29 |
% 24.13/6.29 | Equations (548) can reduce 547 to:
% 24.13/6.29 | (243) $false
% 24.13/6.29 |
% 24.13/6.29 |-The branch is then unsatisfiable
% 24.13/6.29 |-Branch two:
% 24.13/6.29 | (547) ~ (unit = e2)
% 24.13/6.29 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 24.13/6.29 |
% 24.13/6.29 +-Applying beta-rule and splitting (551), into two cases.
% 24.13/6.29 |-Branch one:
% 24.13/6.29 | (552) unit = e4
% 24.13/6.29 |
% 24.13/6.29 | From (552) and (100) follows:
% 24.13/6.29 | (553) op(e4, e1) = e1
% 24.13/6.29 |
% 24.13/6.29 | From (552) and (95) follows:
% 24.13/6.29 | (1036) op(e4, e4) = e4
% 24.13/6.29 |
% 24.13/6.29 | From (552) and (102) follows:
% 24.13/6.29 | (2831) op(e3, e4) = e3
% 24.13/6.29 |
% 24.13/6.29 | From (552) and (139) follows:
% 24.13/6.29 | (554) op(e2, e4) = e2
% 24.13/6.29 |
% 24.13/6.29 | Instantiating formula (105) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields:
% 24.13/6.29 | (373) e4 = e3
% 24.13/6.29 |
% 24.13/6.29 | Instantiating formula (105) with e4, e1, e1, e4 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e1, yields:
% 24.13/6.29 | (494) e4 = e1
% 24.13/6.29 |
% 24.13/6.29 | Instantiating formula (105) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields:
% 24.13/6.29 | (282) e3 = e0
% 24.13/6.29 |
% 24.13/6.29 | Instantiating formula (105) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields:
% 24.13/6.29 | (254) e4 = e2
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (494,254) yields a new equation:
% 24.13/6.29 | (560) e2 = e1
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (373,254) yields a new equation:
% 24.13/6.29 | (400) e3 = e2
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 400 yields:
% 24.13/6.29 | (287) e3 = e2
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (287,282) yields a new equation:
% 24.13/6.29 | (339) e2 = e0
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 339 yields:
% 24.13/6.29 | (327) e2 = e0
% 24.13/6.29 |
% 24.13/6.29 | Combining equations (560,327) yields a new equation:
% 24.13/6.29 | (587) e1 = e0
% 24.13/6.29 |
% 24.13/6.29 | Simplifying 587 yields:
% 24.13/6.29 | (561) e1 = e0
% 24.13/6.29 |
% 24.13/6.30 | Equations (561) can reduce 109 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (438) ~ (unit = e4)
% 24.13/6.30 | (564) unit = e3 | unit = e1 | unit = e0
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (564), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (565) unit = e1
% 24.13/6.30 |
% 24.13/6.30 | From (565) and (102) follows:
% 24.13/6.30 | (1053) op(e3, e1) = e3
% 24.13/6.30 |
% 24.13/6.30 | From (565) and (139) follows:
% 24.13/6.30 | (1054) op(e2, e1) = e2
% 24.13/6.30 |
% 24.13/6.30 | From (565) and (175) follows:
% 24.13/6.30 | (1055) op(e0, e1) = e0
% 24.13/6.30 |
% 24.13/6.30 | Instantiating formula (105) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 24.13/6.30 | (287) e3 = e2
% 24.13/6.30 |
% 24.13/6.30 | Instantiating formula (105) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 24.13/6.30 | (560) e2 = e1
% 24.13/6.30 |
% 24.13/6.30 | Instantiating formula (105) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 24.13/6.30 | (282) e3 = e0
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (282,287) yields a new equation:
% 24.13/6.30 | (327) e2 = e0
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (327,560) yields a new equation:
% 24.13/6.30 | (561) e1 = e0
% 24.13/6.30 |
% 24.13/6.30 | Equations (561) can reduce 109 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (463) ~ (unit = e1)
% 24.13/6.30 | (576) unit = e3 | unit = e0
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (576), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (577) unit = e0
% 24.13/6.30 |
% 24.13/6.30 | Equations (577) can reduce 463 to:
% 24.13/6.30 | (578) ~ (e1 = e0)
% 24.13/6.30 |
% 24.13/6.30 | Simplifying 578 yields:
% 24.13/6.30 | (109) ~ (e1 = e0)
% 24.13/6.30 |
% 24.13/6.30 | From (577) and (121) follows:
% 24.13/6.30 | (3496) op(e0, e3) = e3
% 24.13/6.30 |
% 24.13/6.30 | From (577) and (100) follows:
% 24.13/6.30 | (2851) op(e0, e1) = e1
% 24.13/6.30 |
% 24.13/6.30 | Instantiating formula (105) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields:
% 24.13/6.30 | (282) e3 = e0
% 24.13/6.30 |
% 24.13/6.30 | Instantiating formula (105) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 24.13/6.30 | (420) e3 = e1
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (282,420) yields a new equation:
% 24.13/6.30 | (561) e1 = e0
% 24.13/6.30 |
% 24.13/6.30 | Equations (561) can reduce 109 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (489) ~ (unit = e0)
% 24.13/6.30 | (591) unit = e3
% 24.13/6.30 |
% 24.13/6.30 | From (591) and (169) follows:
% 24.13/6.30 | (1079) op(e3, e4) = e4
% 24.13/6.30 |
% 24.13/6.30 | From (591) and (102) follows:
% 24.13/6.30 | (1080) op(e3, e3) = e3
% 24.13/6.30 |
% 24.13/6.30 | From (591) and (172) follows:
% 24.13/6.30 | (432) op(e1, e3) = e1
% 24.13/6.30 |
% 24.13/6.30 | Instantiating formula (105) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields:
% 24.13/6.30 | (248) e4 = e0
% 24.13/6.30 |
% 24.13/6.30 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 24.13/6.30 | (373) e4 = e3
% 24.13/6.30 |
% 24.13/6.30 | Instantiating formula (105) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 24.13/6.30 | (420) e3 = e1
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (373,248) yields a new equation:
% 24.13/6.30 | (281) e3 = e0
% 24.13/6.30 |
% 24.13/6.30 | Simplifying 281 yields:
% 24.13/6.30 | (282) e3 = e0
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (282,420) yields a new equation:
% 24.13/6.30 | (561) e1 = e0
% 24.13/6.30 |
% 24.13/6.30 | Equations (561) can reduce 109 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (2075) ~ (all_0_10_10 = e1)
% 24.13/6.30 | (1145) all_0_11_11 = e1
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (343,1145) yields a new equation:
% 24.13/6.30 | (561) e1 = e0
% 24.13/6.30 |
% 24.13/6.30 | Equations (561) can reduce 109 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (1220) ~ (all_0_3_3 = e4)
% 24.13/6.30 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (1221), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (377) all_0_10_10 = e4
% 24.13/6.30 |
% 24.13/6.30 | Equations (377) can reduce 355 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (355) ~ (all_0_10_10 = e4)
% 24.13/6.30 | (1225) all_0_19_19 = e4
% 24.13/6.30 |
% 24.13/6.30 | Equations (1225) can reduce 261 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (525) ~ (all_0_16_16 = e1)
% 24.13/6.30 | (1901) all_0_16_16 = e3 | all_0_16_16 = e0
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (1901), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (1902) all_0_16_16 = e0
% 24.13/6.30 |
% 24.13/6.30 | Equations (1902) can reduce 276 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (276) ~ (all_0_16_16 = e0)
% 24.13/6.30 | (1202) all_0_16_16 = e3
% 24.13/6.30 |
% 24.13/6.30 | Equations (1202) can reduce 405 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (1227) ~ (all_0_8_8 = e4)
% 24.13/6.30 | (1695) all_0_12_12 = e4 | all_0_16_16 = e4
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (1695), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (360) all_0_12_12 = e4
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (732,360) yields a new equation:
% 24.13/6.30 | (254) e4 = e2
% 24.13/6.30 |
% 24.13/6.30 | Equations (254) can reduce 194 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (357) ~ (all_0_12_12 = e4)
% 24.13/6.30 | (1894) all_0_16_16 = e4
% 24.13/6.30 |
% 24.13/6.30 | Equations (1894) can reduce 258 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (414) ~ (all_0_0_0 = e3)
% 24.13/6.30 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (791), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 24.13/6.30 |
% 24.13/6.30 | Applying alpha-rule on (796) yields:
% 24.13/6.30 | (797) all_0_0_0 = e0
% 24.13/6.30 | (792) all_0_20_20 = e4
% 24.13/6.30 | (392) ~ (all_0_4_4 = e4)
% 24.13/6.30 |
% 24.13/6.30 | Equations (797) can reduce 268 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 24.13/6.30 |
% 24.13/6.30 | Applying alpha-rule on (801) yields:
% 24.13/6.30 | (797) all_0_0_0 = e0
% 24.13/6.30 | (792) all_0_20_20 = e4
% 24.13/6.30 | (276) ~ (all_0_16_16 = e0)
% 24.13/6.30 |
% 24.13/6.30 | Equations (797) can reduce 268 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (416) ~ (all_0_13_13 = e3)
% 24.13/6.30 | (1216) all_0_15_15 = e3
% 24.13/6.30 |
% 24.13/6.30 | Equations (1216) can reduce 295 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (226) ~ (all_0_12_12 = e2)
% 24.13/6.30 | (8345) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (8345), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (299) all_0_13_13 = e2
% 24.13/6.30 |
% 24.13/6.30 | Equations (299) can reduce 227 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (227) ~ (all_0_13_13 = e2)
% 24.13/6.30 | (8353) all_0_14_14 = e2 | all_0_15_15 = e2
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (8353), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (224) all_0_14_14 = e2
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (224,252) yields a new equation:
% 24.13/6.30 | (254) e4 = e2
% 24.13/6.30 |
% 24.13/6.30 | Equations (254) can reduce 194 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (7736) ~ (all_0_14_14 = e2)
% 24.13/6.30 | (823) all_0_15_15 = e2
% 24.13/6.30 |
% 24.13/6.30 | Equations (823) can reduce 36 to:
% 24.13/6.30 | (226) ~ (all_0_12_12 = e2)
% 24.13/6.30 |
% 24.13/6.30 | Equations (823) can reduce 179 to:
% 24.13/6.30 | (227) ~ (all_0_13_13 = e2)
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (136), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (672) all_0_0_0 = e2
% 24.13/6.30 |
% 24.13/6.30 | Equations (672) can reduce 80 to:
% 24.13/6.30 | (6357) ~ (all_0_12_12 = e2)
% 24.13/6.30 |
% 24.13/6.30 | Simplifying 6357 yields:
% 24.13/6.30 | (226) ~ (all_0_12_12 = e2)
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (72), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (433), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (434), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (435), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.13/6.30 |
% 24.13/6.30 | Applying alpha-rule on (436) yields:
% 24.13/6.30 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.13/6.30 | (438) ~ (unit = e4)
% 24.13/6.30 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.13/6.30 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.13/6.30 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.13/6.30 | (442) ~ (all_0_15_15 = e4)
% 24.13/6.30 | (280) all_0_5_5 = e3
% 24.13/6.30 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.13/6.30 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.13/6.30 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.13/6.30 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.13/6.30 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (280,267) yields a new equation:
% 24.13/6.30 | (281) e3 = e0
% 24.13/6.30 |
% 24.13/6.30 | Simplifying 281 yields:
% 24.13/6.30 | (282) e3 = e0
% 24.13/6.30 |
% 24.13/6.30 | Equations (282) can reduce 54 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.13/6.30 |
% 24.13/6.30 | Applying alpha-rule on (452) yields:
% 24.13/6.30 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.13/6.30 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.13/6.30 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.30 | (212) all_0_6_6 = e2
% 24.13/6.30 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.13/6.30 | (458) ~ (all_0_13_13 = e1)
% 24.13/6.30 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.13/6.30 | (460) ~ (all_0_9_9 = e1)
% 24.13/6.30 | (461) ~ (all_0_20_20 = e1)
% 24.13/6.30 | (462) ~ (all_0_11_11 = e1)
% 24.13/6.30 | (463) ~ (unit = e1)
% 24.13/6.30 | (464) ~ (all_0_4_4 = e1)
% 24.13/6.30 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.13/6.30 |
% 24.13/6.30 | Equations (307) can reduce 460 to:
% 24.13/6.30 | (114) ~ (e2 = e1)
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (186), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (732) all_0_12_12 = e2
% 24.13/6.30 |
% 24.13/6.30 | Equations (732) can reduce 226 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (226) ~ (all_0_12_12 = e2)
% 24.13/6.30 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (9), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (605) all_0_1_1 = e1
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (161), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (424) all_0_1_1 = e3
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (424,605) yields a new equation:
% 24.13/6.30 | (419) e3 = e1
% 24.13/6.30 |
% 24.13/6.30 | Simplifying 419 yields:
% 24.13/6.30 | (420) e3 = e1
% 24.13/6.30 |
% 24.13/6.30 | Equations (420) can reduce 111 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (842) ~ (all_0_1_1 = e3)
% 24.13/6.30 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (875), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (360) all_0_12_12 = e4
% 24.13/6.30 |
% 24.13/6.30 | Equations (360) can reduce 357 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (357) ~ (all_0_12_12 = e4)
% 24.13/6.30 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (899), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (418) all_0_12_12 = e1
% 24.13/6.30 |
% 24.13/6.30 | Equations (418) can reduce 422 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (422) ~ (all_0_12_12 = e1)
% 24.13/6.30 | (413) all_0_12_12 = e3
% 24.13/6.30 |
% 24.13/6.30 | Equations (413) can reduce 88 to:
% 24.13/6.30 | (415) ~ (all_0_13_13 = e3)
% 24.13/6.30 |
% 24.13/6.30 | Simplifying 415 yields:
% 24.13/6.30 | (416) ~ (all_0_13_13 = e3)
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (465), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (608) ~ (all_0_1_1 = e1)
% 24.13/6.30 |
% 24.13/6.30 | Equations (605) can reduce 608 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (605) all_0_1_1 = e1
% 24.13/6.30 | (372) all_0_3_3 = e3
% 24.13/6.30 |
% 24.13/6.30 | Equations (372) can reduce 193 to:
% 24.13/6.30 | (54) ~ (e3 = e0)
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (843), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (868) all_0_13_13 = e3
% 24.13/6.30 |
% 24.13/6.30 | Equations (868) can reduce 416 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (416) ~ (all_0_13_13 = e3)
% 24.13/6.30 | (1181) all_0_17_17 = e3
% 24.13/6.30 |
% 24.13/6.30 | Combining equations (1181,330) yields a new equation:
% 24.13/6.30 | (281) e3 = e0
% 24.13/6.30 |
% 24.13/6.30 | Simplifying 281 yields:
% 24.13/6.30 | (282) e3 = e0
% 24.13/6.30 |
% 24.13/6.30 | Equations (282) can reduce 54 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (608) ~ (all_0_1_1 = e1)
% 24.13/6.30 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 24.13/6.30 |
% 24.13/6.30 +-Applying beta-rule and splitting (302), into two cases.
% 24.13/6.30 |-Branch one:
% 24.13/6.30 | (429) all_0_13_13 = e1
% 24.13/6.30 |
% 24.13/6.30 | Equations (429) can reduce 458 to:
% 24.13/6.30 | (243) $false
% 24.13/6.30 |
% 24.13/6.30 |-The branch is then unsatisfiable
% 24.13/6.30 |-Branch two:
% 24.13/6.30 | (458) ~ (all_0_13_13 = e1)
% 24.13/6.30 | (868) all_0_13_13 = e3
% 24.13/6.30 |
% 24.13/6.30 | Equations (868) can reduce 88 to:
% 24.13/6.30 | (472) ~ (all_0_12_12 = e3)
% 24.13/6.30 |
% 24.13/6.30 | Equations (868) can reduce 227 to:
% 24.13/6.30 | (183) ~ (e3 = e2)
% 24.13/6.30 |
% 24.13/6.30 | Equations (868) can reduce 458 to:
% 24.13/6.30 | (111) ~ (e3 = e1)
% 24.13/6.30 |
% 24.13/6.31 | Equations (868) can reduce 21 to:
% 24.13/6.31 | (54) ~ (e3 = e0)
% 24.13/6.31 |
% 24.13/6.31 +-Applying beta-rule and splitting (170), into two cases.
% 24.13/6.31 |-Branch one:
% 24.13/6.31 | (788) all_0_0_0 = e3
% 24.13/6.31 |
% 24.13/6.31 | Combining equations (788,672) yields a new equation:
% 24.13/6.31 | (400) e3 = e2
% 24.13/6.31 |
% 24.13/6.31 | Simplifying 400 yields:
% 24.13/6.31 | (287) e3 = e2
% 24.13/6.31 |
% 24.13/6.31 | Equations (287) can reduce 183 to:
% 24.13/6.31 | (243) $false
% 24.13/6.31 |
% 24.13/6.31 |-The branch is then unsatisfiable
% 24.13/6.31 |-Branch two:
% 24.13/6.31 | (414) ~ (all_0_0_0 = e3)
% 24.13/6.31 | (1186) all_0_5_5 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3
% 24.13/6.31 |
% 24.13/6.31 +-Applying beta-rule and splitting (1186), into two cases.
% 24.13/6.31 |-Branch one:
% 24.13/6.31 | (280) all_0_5_5 = e3
% 24.13/6.31 |
% 24.13/6.31 | Combining equations (280,267) yields a new equation:
% 24.13/6.31 | (281) e3 = e0
% 24.13/6.31 |
% 24.13/6.31 | Simplifying 281 yields:
% 24.13/6.31 | (282) e3 = e0
% 24.13/6.31 |
% 24.13/6.31 | Equations (282) can reduce 54 to:
% 24.13/6.31 | (243) $false
% 24.13/6.31 |
% 24.13/6.31 |-The branch is then unsatisfiable
% 24.13/6.31 |-Branch two:
% 24.13/6.31 | (284) ~ (all_0_5_5 = e3)
% 24.13/6.31 | (1197) all_0_12_12 = e3 | all_0_16_16 = e3
% 24.13/6.31 |
% 24.13/6.31 +-Applying beta-rule and splitting (1197), into two cases.
% 24.13/6.31 |-Branch one:
% 24.13/6.31 | (413) all_0_12_12 = e3
% 24.13/6.31 |
% 24.13/6.31 | Equations (413) can reduce 472 to:
% 24.13/6.31 | (243) $false
% 24.13/6.31 |
% 24.13/6.31 |-The branch is then unsatisfiable
% 24.13/6.31 |-Branch two:
% 24.13/6.31 | (472) ~ (all_0_12_12 = e3)
% 24.13/6.31 | (1202) all_0_16_16 = e3
% 24.13/6.31 |
% 24.13/6.31 | Equations (1202) can reduce 187 to:
% 24.13/6.31 | (117) ~ (all_0_8_8 = e3)
% 24.13/6.31 |
% 24.13/6.31 +-Applying beta-rule and splitting (1277), into two cases.
% 24.13/6.31 |-Branch one:
% 24.13/6.31 | (1290) all_0_9_9 = e1
% 24.13/6.31 |
% 24.13/6.31 | Combining equations (1290,307) yields a new equation:
% 24.32/6.31 | (560) e2 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (560) can reduce 114 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.31 | (1295) all_0_13_13 = e1 | all_0_17_17 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (307) can reduce 460 to:
% 24.32/6.31 | (114) ~ (e2 = e1)
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (37), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (538) all_0_0_0 = e1
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (538,672) yields a new equation:
% 24.32/6.31 | (560) e2 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (560) can reduce 114 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (595) ~ (all_0_0_0 = e1)
% 24.32/6.31 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (600), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (611) all_0_8_8 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (611) can reduce 117 to:
% 24.32/6.31 | (528) ~ (e3 = e1)
% 24.32/6.31 |
% 24.32/6.31 | Simplifying 528 yields:
% 24.32/6.31 | (111) ~ (e3 = e1)
% 24.32/6.31 |
% 24.32/6.31 | Equations (611) can reduce 272 to:
% 24.32/6.31 | (109) ~ (e1 = e0)
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (153), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (621) all_0_16_16 = e1
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (1202,621) yields a new equation:
% 24.32/6.31 | (419) e3 = e1
% 24.32/6.31 |
% 24.32/6.31 | Simplifying 419 yields:
% 24.32/6.31 | (420) e3 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (420) can reduce 111 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (525) ~ (all_0_16_16 = e1)
% 24.32/6.31 | (911) all_0_17_17 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (1202) can reduce 525 to:
% 24.32/6.31 | (111) ~ (e3 = e1)
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (1295), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (429) all_0_13_13 = e1
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (868,429) yields a new equation:
% 24.32/6.31 | (419) e3 = e1
% 24.32/6.31 |
% 24.32/6.31 | Simplifying 419 yields:
% 24.32/6.31 | (420) e3 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (420) can reduce 111 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (458) ~ (all_0_13_13 = e1)
% 24.32/6.31 | (1012) all_0_17_17 = e1
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (330,1012) yields a new equation:
% 24.32/6.31 | (561) e1 = e0
% 24.32/6.31 |
% 24.32/6.31 | Equations (561) can reduce 109 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (614) ~ (all_0_8_8 = e1)
% 24.32/6.31 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (615), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (418) all_0_12_12 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (418) can reduce 422 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (422) ~ (all_0_12_12 = e1)
% 24.32/6.31 | (621) all_0_16_16 = e1
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (1202,621) yields a new equation:
% 24.32/6.31 | (419) e3 = e1
% 24.32/6.31 |
% 24.32/6.31 | Simplifying 419 yields:
% 24.32/6.31 | (420) e3 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (420) can reduce 111 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (467) yields:
% 24.32/6.31 | (468) ~ (all_0_7_7 = e3)
% 24.32/6.31 | (405) ~ (all_0_16_16 = e3)
% 24.32/6.31 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.32/6.31 | (295) ~ (all_0_15_15 = e3)
% 24.32/6.31 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.31 | (289) ~ (all_0_6_6 = e3)
% 24.32/6.31 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.32/6.31 | (475) ~ (unit = e3)
% 24.32/6.31 | (307) all_0_9_9 = e2
% 24.32/6.31 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.32/6.31 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.32/6.31 | (414) ~ (all_0_0_0 = e3)
% 24.32/6.31 |
% 24.32/6.31 | Equations (290) can reduce 468 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (481) yields:
% 24.32/6.31 | (482) all_0_15_15 = e1
% 24.32/6.31 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.32/6.31 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.32/6.31 | (329) ~ (all_0_9_9 = e0)
% 24.32/6.31 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.32/6.31 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.32/6.31 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.32/6.31 | (489) ~ (unit = e0)
% 24.32/6.31 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.32/6.31 | (491) ~ (all_0_5_5 = e0)
% 24.32/6.31 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (482,823) yields a new equation:
% 24.32/6.31 | (560) e2 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (560) can reduce 114 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (496) yields:
% 24.32/6.31 | (308) ~ (all_0_1_1 = e2)
% 24.32/6.31 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.32/6.31 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.32/6.31 | (214) ~ (all_0_5_5 = e2)
% 24.32/6.31 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.32/6.31 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.32/6.31 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.32/6.31 | (213) ~ (all_0_3_3 = e2)
% 24.32/6.31 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.32/6.31 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.32/6.31 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.32/6.31 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.32/6.31 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.32/6.31 | (309) ~ (all_0_8_8 = e2)
% 24.32/6.31 | (220) ~ (all_0_19_19 = e2)
% 24.32/6.31 | (315) ~ (all_0_17_17 = e2)
% 24.32/6.31 | (216) ~ (all_0_7_7 = e2)
% 24.32/6.31 | (218) ~ (all_0_10_10 = e2)
% 24.32/6.31 | (227) ~ (all_0_13_13 = e2)
% 24.32/6.31 | (229) ~ (all_0_15_15 = e2)
% 24.32/6.31 | (313) ~ (all_0_11_11 = e2)
% 24.32/6.31 |
% 24.32/6.31 | Equations (823) can reduce 229 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (536) ~ (all_0_0_0 = e2)
% 24.32/6.31 | (702) all_0_5_5 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (72), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (433), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (434), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (435), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (436) yields:
% 24.32/6.31 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.32/6.31 | (438) ~ (unit = e4)
% 24.32/6.31 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.32/6.31 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.32/6.31 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.32/6.31 | (442) ~ (all_0_15_15 = e4)
% 24.32/6.31 | (280) all_0_5_5 = e3
% 24.32/6.31 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.32/6.31 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.32/6.31 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.32/6.31 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.32/6.31 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (280,267) yields a new equation:
% 24.32/6.31 | (281) e3 = e0
% 24.32/6.31 |
% 24.32/6.31 | Simplifying 281 yields:
% 24.32/6.31 | (282) e3 = e0
% 24.32/6.31 |
% 24.32/6.31 | Equations (282) can reduce 54 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (452) yields:
% 24.32/6.31 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.32/6.31 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.32/6.31 | (422) ~ (all_0_12_12 = e1)
% 24.32/6.31 | (212) all_0_6_6 = e2
% 24.32/6.31 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.32/6.31 | (458) ~ (all_0_13_13 = e1)
% 24.32/6.31 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.32/6.31 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.31 | (461) ~ (all_0_20_20 = e1)
% 24.32/6.31 | (462) ~ (all_0_11_11 = e1)
% 24.32/6.31 | (463) ~ (unit = e1)
% 24.32/6.31 | (464) ~ (all_0_4_4 = e1)
% 24.32/6.31 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (186), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (732) all_0_12_12 = e2
% 24.32/6.31 |
% 24.32/6.31 | Equations (732) can reduce 226 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (226) ~ (all_0_12_12 = e2)
% 24.32/6.31 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (18), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (523) all_0_20_20 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (523) can reduce 461 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (461) ~ (all_0_20_20 = e1)
% 24.32/6.31 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (780), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (788) all_0_0_0 = e3
% 24.32/6.31 |
% 24.32/6.31 | Equations (788) can reduce 85 to:
% 24.32/6.31 | (2761) ~ (all_0_3_3 = e3)
% 24.32/6.31 |
% 24.32/6.31 | Simplifying 2761 yields:
% 24.32/6.31 | (375) ~ (all_0_3_3 = e3)
% 24.32/6.31 |
% 24.32/6.31 | Equations (788) can reduce 80 to:
% 24.32/6.31 | (3108) ~ (all_0_12_12 = e3)
% 24.32/6.31 |
% 24.32/6.31 | Simplifying 3108 yields:
% 24.32/6.31 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.31 |
% 24.32/6.31 | Equations (788) can reduce 536 to:
% 24.32/6.31 | (183) ~ (e3 = e2)
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (140), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (372) all_0_3_3 = e3
% 24.32/6.31 |
% 24.32/6.31 | Equations (372) can reduce 375 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (375) ~ (all_0_3_3 = e3)
% 24.32/6.31 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (129), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (413) all_0_12_12 = e3
% 24.32/6.31 |
% 24.32/6.31 | Equations (413) can reduce 472 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.31 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (376), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (286) all_0_6_6 = e3
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (286,212) yields a new equation:
% 24.32/6.31 | (400) e3 = e2
% 24.32/6.31 |
% 24.32/6.31 | Simplifying 400 yields:
% 24.32/6.31 | (287) e3 = e2
% 24.32/6.31 |
% 24.32/6.31 | Equations (287) can reduce 183 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (289) ~ (all_0_6_6 = e3)
% 24.32/6.31 | (404) all_0_19_19 = e3
% 24.32/6.31 |
% 24.32/6.31 | Equations (404) can reduce 220 to:
% 24.32/6.31 | (183) ~ (e3 = e2)
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (871), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (868) all_0_13_13 = e3
% 24.32/6.31 |
% 24.32/6.31 | Equations (868) can reduce 88 to:
% 24.32/6.31 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (875), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (360) all_0_12_12 = e4
% 24.32/6.31 |
% 24.32/6.31 | Equations (360) can reduce 357 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (357) ~ (all_0_12_12 = e4)
% 24.32/6.31 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (899), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (418) all_0_12_12 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (418) can reduce 422 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (422) ~ (all_0_12_12 = e1)
% 24.32/6.31 | (413) all_0_12_12 = e3
% 24.32/6.31 |
% 24.32/6.31 | Equations (413) can reduce 472 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (416) ~ (all_0_13_13 = e3)
% 24.32/6.31 | (1216) all_0_15_15 = e3
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (823,1216) yields a new equation:
% 24.32/6.31 | (287) e3 = e2
% 24.32/6.31 |
% 24.32/6.31 | Equations (287) can reduce 183 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (414) ~ (all_0_0_0 = e3)
% 24.32/6.31 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.32/6.31 |
% 24.32/6.31 +-Applying beta-rule and splitting (791), into two cases.
% 24.32/6.31 |-Branch one:
% 24.32/6.31 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (796) yields:
% 24.32/6.31 | (797) all_0_0_0 = e0
% 24.32/6.31 | (792) all_0_20_20 = e4
% 24.32/6.31 | (392) ~ (all_0_4_4 = e4)
% 24.32/6.31 |
% 24.32/6.31 | Equations (797) can reduce 268 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (801) yields:
% 24.32/6.31 | (797) all_0_0_0 = e0
% 24.32/6.31 | (792) all_0_20_20 = e4
% 24.32/6.31 | (276) ~ (all_0_16_16 = e0)
% 24.32/6.31 |
% 24.32/6.31 | Equations (797) can reduce 268 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (467) yields:
% 24.32/6.31 | (468) ~ (all_0_7_7 = e3)
% 24.32/6.31 | (405) ~ (all_0_16_16 = e3)
% 24.32/6.31 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.32/6.31 | (295) ~ (all_0_15_15 = e3)
% 24.32/6.31 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.31 | (289) ~ (all_0_6_6 = e3)
% 24.32/6.31 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.32/6.31 | (475) ~ (unit = e3)
% 24.32/6.31 | (307) all_0_9_9 = e2
% 24.32/6.31 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.32/6.31 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.32/6.31 | (414) ~ (all_0_0_0 = e3)
% 24.32/6.31 |
% 24.32/6.31 | Equations (290) can reduce 468 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (481) yields:
% 24.32/6.31 | (482) all_0_15_15 = e1
% 24.32/6.31 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.32/6.31 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.32/6.31 | (329) ~ (all_0_9_9 = e0)
% 24.32/6.31 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.32/6.31 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.32/6.31 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.32/6.31 | (489) ~ (unit = e0)
% 24.32/6.31 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.32/6.31 | (491) ~ (all_0_5_5 = e0)
% 24.32/6.31 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.32/6.31 |
% 24.32/6.31 | Combining equations (482,823) yields a new equation:
% 24.32/6.31 | (560) e2 = e1
% 24.32/6.31 |
% 24.32/6.31 | Equations (560) can reduce 114 to:
% 24.32/6.31 | (243) $false
% 24.32/6.31 |
% 24.32/6.31 |-The branch is then unsatisfiable
% 24.32/6.31 |-Branch two:
% 24.32/6.31 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.32/6.31 |
% 24.32/6.31 | Applying alpha-rule on (496) yields:
% 24.32/6.31 | (308) ~ (all_0_1_1 = e2)
% 24.32/6.31 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.32/6.31 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.32/6.31 | (214) ~ (all_0_5_5 = e2)
% 24.32/6.31 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.32/6.31 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.32/6.31 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.32/6.31 | (213) ~ (all_0_3_3 = e2)
% 24.32/6.32 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.32/6.32 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.32/6.32 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.32/6.32 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.32/6.32 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.32/6.32 | (309) ~ (all_0_8_8 = e2)
% 24.32/6.32 | (220) ~ (all_0_19_19 = e2)
% 24.32/6.32 | (315) ~ (all_0_17_17 = e2)
% 24.32/6.32 | (216) ~ (all_0_7_7 = e2)
% 24.32/6.32 | (218) ~ (all_0_10_10 = e2)
% 24.32/6.32 | (227) ~ (all_0_13_13 = e2)
% 24.32/6.32 | (229) ~ (all_0_15_15 = e2)
% 24.32/6.32 | (313) ~ (all_0_11_11 = e2)
% 24.32/6.32 |
% 24.32/6.32 | Equations (823) can reduce 229 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (2398) ~ (all_0_9_9 = e2)
% 24.32/6.32 | (3258) all_0_13_13 = e2 | all_0_17_17 = e2
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (3258), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (299) all_0_13_13 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (299) can reduce 227 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (227) ~ (all_0_13_13 = e2)
% 24.32/6.32 | (1820) all_0_17_17 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (1820) can reduce 315 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (491) ~ (all_0_5_5 = e0)
% 24.32/6.32 | (3098) all_0_7_7 = e0
% 24.32/6.32 |
% 24.32/6.32 | Equations (3098) can reduce 160 to:
% 24.32/6.32 | (344) ~ (all_0_4_4 = e0)
% 24.32/6.32 |
% 24.32/6.32 | Equations (3098) can reduce 152 to:
% 24.32/6.32 | (491) ~ (all_0_5_5 = e0)
% 24.32/6.32 |
% 24.32/6.32 | Equations (3098) can reduce 131 to:
% 24.32/6.32 | (2479) ~ (all_0_11_11 = e0)
% 24.32/6.32 |
% 24.32/6.32 | Simplifying 2479 yields:
% 24.32/6.32 | (2480) ~ (all_0_11_11 = e0)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (182), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (722) all_0_5_5 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (722) can reduce 214 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (214) ~ (all_0_5_5 = e2)
% 24.32/6.32 | (5877) all_0_5_5 = e3 | all_0_5_5 = e0
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (5877), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (267) all_0_5_5 = e0
% 24.32/6.32 |
% 24.32/6.32 | Equations (267) can reduce 491 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (491) ~ (all_0_5_5 = e0)
% 24.32/6.32 | (280) all_0_5_5 = e3
% 24.32/6.32 |
% 24.32/6.32 | Equations (280) can reduce 15 to:
% 24.32/6.32 | (414) ~ (all_0_0_0 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Equations (280) can reduce 125 to:
% 24.32/6.32 | (3106) ~ (all_0_8_8 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Simplifying 3106 yields:
% 24.32/6.32 | (117) ~ (all_0_8_8 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Equations (280) can reduce 92 to:
% 24.32/6.32 | (3108) ~ (all_0_12_12 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Simplifying 3108 yields:
% 24.32/6.32 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Equations (280) can reduce 214 to:
% 24.32/6.32 | (183) ~ (e3 = e2)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (18), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (523) all_0_20_20 = e1
% 24.32/6.32 |
% 24.32/6.32 | Equations (523) can reduce 26 to:
% 24.32/6.32 | (464) ~ (all_0_4_4 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Equations (523) can reduce 45 to:
% 24.32/6.32 | (462) ~ (all_0_11_11 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Equations (523) can reduce 40 to:
% 24.32/6.32 | (1154) ~ (all_0_15_15 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Equations (523) can reduce 81 to:
% 24.32/6.32 | (525) ~ (all_0_16_16 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Equations (523) can reduce 197 to:
% 24.32/6.32 | (1015) ~ (all_0_17_17 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Equations (523) can reduce 158 to:
% 24.32/6.32 | (382) ~ (all_0_19_19 = e1)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (108), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (303) all_0_10_10 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (303) can reduce 218 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (218) ~ (all_0_10_10 = e2)
% 24.32/6.32 | (306) all_0_10_10 = e4 | all_0_10_10 = e1
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (126), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (823) all_0_15_15 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (823) can reduce 78 to:
% 24.32/6.32 | (625) ~ (all_0_4_4 = e2)
% 24.32/6.32 |
% 24.32/6.32 | Equations (823) can reduce 25 to:
% 24.32/6.32 | (313) ~ (all_0_11_11 = e2)
% 24.32/6.32 |
% 24.32/6.32 | Equations (823) can reduce 36 to:
% 24.32/6.32 | (226) ~ (all_0_12_12 = e2)
% 24.32/6.32 |
% 24.32/6.32 | Equations (823) can reduce 179 to:
% 24.32/6.32 | (227) ~ (all_0_13_13 = e2)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (42), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (818) all_0_11_11 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (818) can reduce 313 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (313) ~ (all_0_11_11 = e2)
% 24.32/6.32 | (2486) all_0_11_11 = e4 | all_0_11_11 = e1 | all_0_11_11 = e0
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (186), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (732) all_0_12_12 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (732) can reduce 226 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (226) ~ (all_0_12_12 = e2)
% 24.32/6.32 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (875), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (360) all_0_12_12 = e4
% 24.32/6.32 |
% 24.32/6.32 | Equations (360) can reduce 357 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (357) ~ (all_0_12_12 = e4)
% 24.32/6.32 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (2486), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (2395) all_0_11_11 = e4
% 24.32/6.32 |
% 24.32/6.32 | Equations (2395) can reduce 155 to:
% 24.32/6.32 | (355) ~ (all_0_10_10 = e4)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (899), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (418) all_0_12_12 = e1
% 24.32/6.32 |
% 24.32/6.32 | Equations (418) can reduce 88 to:
% 24.32/6.32 | (9892) ~ (all_0_13_13 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Simplifying 9892 yields:
% 24.32/6.32 | (458) ~ (all_0_13_13 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Equations (418) can reduce 189 to:
% 24.32/6.32 | (906) ~ (all_0_16_16 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Simplifying 906 yields:
% 24.32/6.32 | (525) ~ (all_0_16_16 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Equations (418) can reduce 472 to:
% 24.32/6.32 | (528) ~ (e3 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Simplifying 528 yields:
% 24.32/6.32 | (111) ~ (e3 = e1)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (171), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (299) all_0_13_13 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (299) can reduce 227 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (227) ~ (all_0_13_13 = e2)
% 24.32/6.32 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (129), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (413) all_0_12_12 = e3
% 24.32/6.32 |
% 24.32/6.32 | Combining equations (418,413) yields a new equation:
% 24.32/6.32 | (420) e3 = e1
% 24.32/6.32 |
% 24.32/6.32 | Equations (420) can reduce 111 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.32 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (871), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (868) all_0_13_13 = e3
% 24.32/6.32 |
% 24.32/6.32 | Equations (868) can reduce 227 to:
% 24.32/6.32 | (183) ~ (e3 = e2)
% 24.32/6.32 |
% 24.32/6.32 | Equations (868) can reduce 458 to:
% 24.32/6.32 | (111) ~ (e3 = e1)
% 24.32/6.32 |
% 24.32/6.32 | Equations (868) can reduce 21 to:
% 24.32/6.32 | (54) ~ (e3 = e0)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (209), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (641) all_0_4_4 = e3
% 24.32/6.32 |
% 24.32/6.32 | Equations (641) can reduce 86 to:
% 24.32/6.32 | (375) ~ (all_0_3_3 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Equations (641) can reduce 625 to:
% 24.32/6.32 | (183) ~ (e3 = e2)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (140), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (372) all_0_3_3 = e3
% 24.32/6.32 |
% 24.32/6.32 | Equations (372) can reduce 375 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (375) ~ (all_0_3_3 = e3)
% 24.32/6.32 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (376), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (286) all_0_6_6 = e3
% 24.32/6.32 |
% 24.32/6.32 | Combining equations (286,212) yields a new equation:
% 24.32/6.32 | (400) e3 = e2
% 24.32/6.32 |
% 24.32/6.32 | Simplifying 400 yields:
% 24.32/6.32 | (287) e3 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (287) can reduce 183 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (289) ~ (all_0_6_6 = e3)
% 24.32/6.32 | (404) all_0_19_19 = e3
% 24.32/6.32 |
% 24.32/6.32 | Equations (404) can reduce 79 to:
% 24.32/6.32 | (405) ~ (all_0_16_16 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Equations (404) can reduce 22 to:
% 24.32/6.32 | (2752) ~ (all_0_17_17 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Equations (404) can reduce 382 to:
% 24.32/6.32 | (111) ~ (e3 = e1)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (59), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (1820) all_0_17_17 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (1820) can reduce 315 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (315) ~ (all_0_17_17 = e2)
% 24.32/6.32 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (2810), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (1012) all_0_17_17 = e1
% 24.32/6.32 |
% 24.32/6.32 | Equations (1012) can reduce 1015 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (1015) ~ (all_0_17_17 = e1)
% 24.32/6.32 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (2871), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (330) all_0_17_17 = e0
% 24.32/6.32 |
% 24.32/6.32 | Equations (330) can reduce 73 to:
% 24.32/6.32 | (237) ~ (all_0_1_1 = e0)
% 24.32/6.32 |
% 24.32/6.32 | Equations (330) can reduce 56 to:
% 24.32/6.32 | (329) ~ (all_0_9_9 = e0)
% 24.32/6.32 |
% 24.32/6.32 | Equations (330) can reduce 211 to:
% 24.32/6.32 | (276) ~ (all_0_16_16 = e0)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (132), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (318) all_0_8_8 = e0
% 24.32/6.32 |
% 24.32/6.32 | Equations (318) can reduce 3 to:
% 24.32/6.32 | (7572) ~ (all_0_9_9 = e0)
% 24.32/6.32 |
% 24.32/6.32 | Simplifying 7572 yields:
% 24.32/6.32 | (329) ~ (all_0_9_9 = e0)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (306), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (377) all_0_10_10 = e4
% 24.32/6.32 |
% 24.32/6.32 | Equations (377) can reduce 355 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (355) ~ (all_0_10_10 = e4)
% 24.32/6.32 | (380) all_0_10_10 = e1
% 24.32/6.32 |
% 24.32/6.32 | Equations (380) can reduce 60 to:
% 24.32/6.32 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (202), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (307) all_0_9_9 = e2
% 24.32/6.32 |
% 24.32/6.32 | Equations (307) can reduce 460 to:
% 24.32/6.32 | (114) ~ (e2 = e1)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (72), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (433), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (434), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (435), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.32/6.32 |
% 24.32/6.32 | Applying alpha-rule on (436) yields:
% 24.32/6.32 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.32/6.32 | (438) ~ (unit = e4)
% 24.32/6.32 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.32/6.32 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.32/6.32 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.32/6.32 | (442) ~ (all_0_15_15 = e4)
% 24.32/6.32 | (280) all_0_5_5 = e3
% 24.32/6.32 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.32/6.32 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.32/6.32 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.32/6.32 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.32/6.32 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (439), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (256) ~ (all_0_14_14 = e4)
% 24.32/6.32 |
% 24.32/6.32 | Equations (252) can reduce 256 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (252) all_0_14_14 = e4
% 24.32/6.32 | (732) all_0_12_12 = e2
% 24.32/6.32 |
% 24.32/6.32 | Combining equations (418,732) yields a new equation:
% 24.32/6.32 | (560) e2 = e1
% 24.32/6.32 |
% 24.32/6.32 | Equations (560) can reduce 114 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Applying alpha-rule on (452) yields:
% 24.32/6.32 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.32/6.32 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.32/6.32 | (422) ~ (all_0_12_12 = e1)
% 24.32/6.32 | (212) all_0_6_6 = e2
% 24.32/6.32 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.32/6.32 | (458) ~ (all_0_13_13 = e1)
% 24.32/6.32 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.32/6.32 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.32 | (461) ~ (all_0_20_20 = e1)
% 24.32/6.32 | (462) ~ (all_0_11_11 = e1)
% 24.32/6.32 | (463) ~ (unit = e1)
% 24.32/6.32 | (464) ~ (all_0_4_4 = e1)
% 24.32/6.32 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.32/6.32 |
% 24.32/6.32 | Equations (523) can reduce 461 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.32/6.32 |
% 24.32/6.32 | Applying alpha-rule on (467) yields:
% 24.32/6.32 | (468) ~ (all_0_7_7 = e3)
% 24.32/6.32 | (405) ~ (all_0_16_16 = e3)
% 24.32/6.32 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.32/6.32 | (295) ~ (all_0_15_15 = e3)
% 24.32/6.32 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.32 | (289) ~ (all_0_6_6 = e3)
% 24.32/6.32 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.32/6.32 | (475) ~ (unit = e3)
% 24.32/6.32 | (307) all_0_9_9 = e2
% 24.32/6.32 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.32/6.32 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.32/6.32 | (414) ~ (all_0_0_0 = e3)
% 24.32/6.32 |
% 24.32/6.32 +-Applying beta-rule and splitting (478), into two cases.
% 24.32/6.32 |-Branch one:
% 24.32/6.32 | (291) ~ (all_0_4_4 = e3)
% 24.32/6.32 |
% 24.32/6.32 | Equations (641) can reduce 291 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (641) all_0_4_4 = e3
% 24.32/6.32 | (322) all_0_1_1 = e0
% 24.32/6.32 |
% 24.32/6.32 | Equations (322) can reduce 237 to:
% 24.32/6.32 | (243) $false
% 24.32/6.32 |
% 24.32/6.32 |-The branch is then unsatisfiable
% 24.32/6.32 |-Branch two:
% 24.32/6.32 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.32/6.32 |
% 24.32/6.32 | Applying alpha-rule on (481) yields:
% 24.32/6.32 | (482) all_0_15_15 = e1
% 24.32/6.32 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.32/6.32 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.32/6.33 | (329) ~ (all_0_9_9 = e0)
% 24.32/6.33 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.32/6.33 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.32/6.33 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.32/6.33 | (489) ~ (unit = e0)
% 24.32/6.33 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.32/6.33 | (491) ~ (all_0_5_5 = e0)
% 24.32/6.33 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (823,482) yields a new equation:
% 24.32/6.33 | (559) e2 = e1
% 24.32/6.33 |
% 24.32/6.33 | Simplifying 559 yields:
% 24.32/6.33 | (560) e2 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (560) can reduce 114 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.32/6.33 |
% 24.32/6.33 | Applying alpha-rule on (496) yields:
% 24.32/6.33 | (308) ~ (all_0_1_1 = e2)
% 24.32/6.33 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.32/6.33 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.32/6.33 | (214) ~ (all_0_5_5 = e2)
% 24.32/6.33 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.32/6.33 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.32/6.33 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.32/6.33 | (213) ~ (all_0_3_3 = e2)
% 24.32/6.33 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.32/6.33 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.32/6.33 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.32/6.33 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.32/6.33 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.32/6.33 | (309) ~ (all_0_8_8 = e2)
% 24.32/6.33 | (220) ~ (all_0_19_19 = e2)
% 24.32/6.33 | (315) ~ (all_0_17_17 = e2)
% 24.32/6.33 | (216) ~ (all_0_7_7 = e2)
% 24.32/6.33 | (218) ~ (all_0_10_10 = e2)
% 24.32/6.33 | (227) ~ (all_0_13_13 = e2)
% 24.32/6.33 | (229) ~ (all_0_15_15 = e2)
% 24.32/6.33 | (313) ~ (all_0_11_11 = e2)
% 24.32/6.33 |
% 24.32/6.33 | Equations (823) can reduce 229 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (2398) ~ (all_0_9_9 = e2)
% 24.32/6.33 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (2399), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (1290) all_0_9_9 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (1290) can reduce 460 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.33 | (326) all_0_9_9 = e0
% 24.32/6.33 |
% 24.32/6.33 | Equations (326) can reduce 329 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (272) ~ (all_0_8_8 = e0)
% 24.32/6.33 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (66), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (1894) all_0_16_16 = e4
% 24.32/6.33 |
% 24.32/6.33 | Equations (1894) can reduce 187 to:
% 24.32/6.33 | (1227) ~ (all_0_8_8 = e4)
% 24.32/6.33 |
% 24.32/6.33 | Equations (1894) can reduce 405 to:
% 24.32/6.33 | (23) ~ (e4 = e3)
% 24.32/6.33 |
% 24.32/6.33 | Equations (1894) can reduce 525 to:
% 24.32/6.33 | (207) ~ (e4 = e1)
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (198), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (727) all_0_8_8 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (727) can reduce 146 to:
% 24.32/6.33 | (536) ~ (all_0_0_0 = e2)
% 24.32/6.33 |
% 24.32/6.33 | Equations (727) can reduce 117 to:
% 24.32/6.33 | (232) ~ (e3 = e2)
% 24.32/6.33 |
% 24.32/6.33 | Simplifying 232 yields:
% 24.32/6.33 | (183) ~ (e3 = e2)
% 24.32/6.33 |
% 24.32/6.33 | Equations (727) can reduce 272 to:
% 24.32/6.33 | (39) ~ (e2 = e0)
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (83), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (672) all_0_0_0 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (672) can reduce 536 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (536) ~ (all_0_0_0 = e2)
% 24.32/6.33 | (711) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (711), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (741) all_0_1_1 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (741) can reduce 110 to:
% 24.32/6.33 | (2401) ~ (all_0_9_9 = e2)
% 24.32/6.33 |
% 24.32/6.33 | Simplifying 2401 yields:
% 24.32/6.33 | (2398) ~ (all_0_9_9 = e2)
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (115), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (364) all_0_3_3 = e4
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (104), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (695) all_0_3_3 = e1
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (364,695) yields a new equation:
% 24.32/6.33 | (493) e4 = e1
% 24.32/6.33 |
% 24.32/6.33 | Simplifying 493 yields:
% 24.32/6.33 | (494) e4 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (494) can reduce 207 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (698) ~ (all_0_3_3 = e1)
% 24.32/6.33 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (2066), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (380) all_0_10_10 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (380) can reduce 60 to:
% 24.32/6.33 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (202), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (307) all_0_9_9 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (307) can reduce 2398 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (2398) ~ (all_0_9_9 = e2)
% 24.32/6.33 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (2399), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (1290) all_0_9_9 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (1290) can reduce 460 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.33 | (326) all_0_9_9 = e0
% 24.32/6.33 |
% 24.32/6.33 | Equations (326) can reduce 329 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (2075) ~ (all_0_10_10 = e1)
% 24.32/6.33 | (1017) all_0_19_19 = e1
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (1017,404) yields a new equation:
% 24.32/6.33 | (420) e3 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (420) can reduce 111 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (1220) ~ (all_0_3_3 = e4)
% 24.32/6.33 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (1221), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (377) all_0_10_10 = e4
% 24.32/6.33 |
% 24.32/6.33 | Equations (377) can reduce 355 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (355) ~ (all_0_10_10 = e4)
% 24.32/6.33 | (1225) all_0_19_19 = e4
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (404,1225) yields a new equation:
% 24.32/6.33 | (373) e4 = e3
% 24.32/6.33 |
% 24.32/6.33 | Equations (373) can reduce 23 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (308) ~ (all_0_1_1 = e2)
% 24.32/6.33 | (745) all_0_2_2 = e2 | all_0_3_3 = e2 | all_0_4_4 = e2
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (745), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (750) all_0_2_2 = e2
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (750,236) yields a new equation:
% 24.32/6.33 | (339) e2 = e0
% 24.32/6.33 |
% 24.32/6.33 | Simplifying 339 yields:
% 24.32/6.33 | (327) e2 = e0
% 24.32/6.33 |
% 24.32/6.33 | Equations (327) can reduce 39 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (225) ~ (all_0_2_2 = e2)
% 24.32/6.33 | (754) all_0_3_3 = e2 | all_0_4_4 = e2
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (754), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (755) all_0_3_3 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (755) can reduce 213 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (213) ~ (all_0_3_3 = e2)
% 24.32/6.33 | (535) all_0_4_4 = e2
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (535,641) yields a new equation:
% 24.32/6.33 | (287) e3 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (287) can reduce 183 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (309) ~ (all_0_8_8 = e2)
% 24.32/6.33 | (1232) all_0_8_8 = e4 | all_0_8_8 = e1 | all_0_8_8 = e0
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (115), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (364) all_0_3_3 = e4
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (104), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (695) all_0_3_3 = e1
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (695,364) yields a new equation:
% 24.32/6.33 | (494) e4 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (494) can reduce 207 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (698) ~ (all_0_3_3 = e1)
% 24.32/6.33 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (2066), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (380) all_0_10_10 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (380) can reduce 38 to:
% 24.32/6.33 | (614) ~ (all_0_8_8 = e1)
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (1232), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (353) all_0_8_8 = e4
% 24.32/6.33 |
% 24.32/6.33 | Equations (353) can reduce 1227 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (1227) ~ (all_0_8_8 = e4)
% 24.32/6.33 | (2388) all_0_8_8 = e1 | all_0_8_8 = e0
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (2388), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (611) all_0_8_8 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (611) can reduce 614 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (614) ~ (all_0_8_8 = e1)
% 24.32/6.33 | (318) all_0_8_8 = e0
% 24.32/6.33 |
% 24.32/6.33 | Equations (318) can reduce 272 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (2075) ~ (all_0_10_10 = e1)
% 24.32/6.33 | (1017) all_0_19_19 = e1
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (404,1017) yields a new equation:
% 24.32/6.33 | (419) e3 = e1
% 24.32/6.33 |
% 24.32/6.33 | Simplifying 419 yields:
% 24.32/6.33 | (420) e3 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (420) can reduce 111 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (1220) ~ (all_0_3_3 = e4)
% 24.32/6.33 | (1221) all_0_10_10 = e4 | all_0_19_19 = e4
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (1221), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (377) all_0_10_10 = e4
% 24.32/6.33 |
% 24.32/6.33 | Equations (377) can reduce 355 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (355) ~ (all_0_10_10 = e4)
% 24.32/6.33 | (1225) all_0_19_19 = e4
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (404,1225) yields a new equation:
% 24.32/6.33 | (373) e4 = e3
% 24.32/6.33 |
% 24.32/6.33 | Equations (373) can reduce 23 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (258) ~ (all_0_16_16 = e4)
% 24.32/6.33 | (5036) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (154), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (532) all_0_16_16 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (532) can reduce 542 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (542) ~ (all_0_16_16 = e2)
% 24.32/6.33 | (715) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (715), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (1894) all_0_16_16 = e4
% 24.32/6.33 |
% 24.32/6.33 | Equations (1894) can reduce 258 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (258) ~ (all_0_16_16 = e4)
% 24.32/6.33 | (1897) all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (1897), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (621) all_0_16_16 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (621) can reduce 525 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (525) ~ (all_0_16_16 = e1)
% 24.32/6.33 | (1901) all_0_16_16 = e3 | all_0_16_16 = e0
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (1901), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (1902) all_0_16_16 = e0
% 24.32/6.33 |
% 24.32/6.33 | Equations (1902) can reduce 276 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (276) ~ (all_0_16_16 = e0)
% 24.32/6.33 | (1202) all_0_16_16 = e3
% 24.32/6.33 |
% 24.32/6.33 | Equations (1202) can reduce 405 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (2482) ~ (all_0_17_17 = e0)
% 24.32/6.33 | (1181) all_0_17_17 = e3
% 24.32/6.33 |
% 24.32/6.33 | Equations (1181) can reduce 2752 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (291) ~ (all_0_4_4 = e3)
% 24.32/6.33 | (3359) all_0_7_7 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (3359), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (290) all_0_7_7 = e3
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (290,3098) yields a new equation:
% 24.32/6.33 | (281) e3 = e0
% 24.32/6.33 |
% 24.32/6.33 | Simplifying 281 yields:
% 24.32/6.33 | (282) e3 = e0
% 24.32/6.33 |
% 24.32/6.33 | Equations (282) can reduce 54 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (468) ~ (all_0_7_7 = e3)
% 24.32/6.33 | (3883) all_0_15_15 = e3 | all_0_20_20 = e3
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (3883), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (1216) all_0_15_15 = e3
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (1216,823) yields a new equation:
% 24.32/6.33 | (400) e3 = e2
% 24.32/6.33 |
% 24.32/6.33 | Simplifying 400 yields:
% 24.32/6.33 | (287) e3 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (287) can reduce 183 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (295) ~ (all_0_15_15 = e3)
% 24.32/6.33 | (1495) all_0_20_20 = e3
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (523,1495) yields a new equation:
% 24.32/6.33 | (420) e3 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (420) can reduce 111 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (416) ~ (all_0_13_13 = e3)
% 24.32/6.33 | (1216) all_0_15_15 = e3
% 24.32/6.33 |
% 24.32/6.33 | Combining equations (1216,823) yields a new equation:
% 24.32/6.33 | (400) e3 = e2
% 24.32/6.33 |
% 24.32/6.33 | Simplifying 400 yields:
% 24.32/6.33 | (287) e3 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (287) can reduce 183 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (422) ~ (all_0_12_12 = e1)
% 24.32/6.33 | (413) all_0_12_12 = e3
% 24.32/6.33 |
% 24.32/6.33 | Equations (413) can reduce 472 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (2559) ~ (all_0_11_11 = e4)
% 24.32/6.33 | (2560) all_0_11_11 = e1 | all_0_11_11 = e0
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (2560), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (1145) all_0_11_11 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (1145) can reduce 462 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (462) ~ (all_0_11_11 = e1)
% 24.32/6.33 | (343) all_0_11_11 = e0
% 24.32/6.33 |
% 24.32/6.33 | Equations (343) can reduce 2480 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (229) ~ (all_0_15_15 = e2)
% 24.32/6.33 | (4171) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (4171), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (391) all_0_15_15 = e4
% 24.32/6.33 |
% 24.32/6.33 | Equations (391) can reduce 442 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (442) ~ (all_0_15_15 = e4)
% 24.32/6.33 | (4209) all_0_15_15 = e3 | all_0_15_15 = e1
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (4209), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (482) all_0_15_15 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (482) can reduce 1154 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (1154) ~ (all_0_15_15 = e1)
% 24.32/6.33 | (1216) all_0_15_15 = e3
% 24.32/6.33 |
% 24.32/6.33 | Equations (1216) can reduce 78 to:
% 24.32/6.33 | (291) ~ (all_0_4_4 = e3)
% 24.32/6.33 |
% 24.32/6.33 | Equations (1216) can reduce 25 to:
% 24.32/6.33 | (30) ~ (all_0_11_11 = e3)
% 24.32/6.33 |
% 24.32/6.33 | Equations (1216) can reduce 36 to:
% 24.32/6.33 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.33 |
% 24.32/6.33 | Equations (1216) can reduce 179 to:
% 24.32/6.33 | (416) ~ (all_0_13_13 = e3)
% 24.32/6.33 |
% 24.32/6.33 | Equations (1216) can reduce 229 to:
% 24.32/6.33 | (183) ~ (e3 = e2)
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (171), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (299) all_0_13_13 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (299) can reduce 88 to:
% 24.32/6.33 | (226) ~ (all_0_12_12 = e2)
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (186), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (732) all_0_12_12 = e2
% 24.32/6.33 |
% 24.32/6.33 | Equations (732) can reduce 226 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (226) ~ (all_0_12_12 = e2)
% 24.32/6.33 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (875), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (360) all_0_12_12 = e4
% 24.32/6.33 |
% 24.32/6.33 | Equations (360) can reduce 357 to:
% 24.32/6.33 | (243) $false
% 24.32/6.33 |
% 24.32/6.33 |-The branch is then unsatisfiable
% 24.32/6.33 |-Branch two:
% 24.32/6.33 | (357) ~ (all_0_12_12 = e4)
% 24.32/6.33 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 24.32/6.33 |
% 24.32/6.33 +-Applying beta-rule and splitting (899), into two cases.
% 24.32/6.33 |-Branch one:
% 24.32/6.33 | (418) all_0_12_12 = e1
% 24.32/6.33 |
% 24.32/6.33 | Equations (418) can reduce 472 to:
% 24.32/6.33 | (528) ~ (e3 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 528 yields:
% 24.32/6.34 | (111) ~ (e3 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Equations (418) can reduce 226 to:
% 24.32/6.34 | (530) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 530 yields:
% 24.32/6.34 | (114) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (72), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (433), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (434), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (435), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Applying alpha-rule on (436) yields:
% 24.32/6.34 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.32/6.34 | (438) ~ (unit = e4)
% 24.32/6.34 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.32/6.34 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.32/6.34 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.32/6.34 | (442) ~ (all_0_15_15 = e4)
% 24.32/6.34 | (280) all_0_5_5 = e3
% 24.32/6.34 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.32/6.34 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.32/6.34 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.32/6.34 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.32/6.34 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (439), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (256) ~ (all_0_14_14 = e4)
% 24.32/6.34 |
% 24.32/6.34 | Equations (252) can reduce 256 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (252) all_0_14_14 = e4
% 24.32/6.34 | (732) all_0_12_12 = e2
% 24.32/6.34 |
% 24.32/6.34 | Combining equations (732,418) yields a new equation:
% 24.32/6.34 | (559) e2 = e1
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 559 yields:
% 24.32/6.34 | (560) e2 = e1
% 24.32/6.34 |
% 24.32/6.34 | Equations (560) can reduce 114 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.32/6.34 |
% 24.32/6.34 | Applying alpha-rule on (452) yields:
% 24.32/6.34 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.32/6.34 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.32/6.34 | (422) ~ (all_0_12_12 = e1)
% 24.32/6.34 | (212) all_0_6_6 = e2
% 24.32/6.34 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.32/6.34 | (458) ~ (all_0_13_13 = e1)
% 24.32/6.34 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.32/6.34 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.34 | (461) ~ (all_0_20_20 = e1)
% 24.32/6.34 | (462) ~ (all_0_11_11 = e1)
% 24.32/6.34 | (463) ~ (unit = e1)
% 24.32/6.34 | (464) ~ (all_0_4_4 = e1)
% 24.32/6.34 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.32/6.34 |
% 24.32/6.34 | Equations (523) can reduce 461 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Applying alpha-rule on (467) yields:
% 24.32/6.34 | (468) ~ (all_0_7_7 = e3)
% 24.32/6.34 | (405) ~ (all_0_16_16 = e3)
% 24.32/6.34 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.32/6.34 | (295) ~ (all_0_15_15 = e3)
% 24.32/6.34 | (472) ~ (all_0_12_12 = e3)
% 24.32/6.34 | (289) ~ (all_0_6_6 = e3)
% 24.32/6.34 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.32/6.34 | (475) ~ (unit = e3)
% 24.32/6.34 | (307) all_0_9_9 = e2
% 24.32/6.34 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.32/6.34 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.32/6.34 | (414) ~ (all_0_0_0 = e3)
% 24.32/6.34 |
% 24.32/6.34 | Equations (1216) can reduce 295 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Applying alpha-rule on (481) yields:
% 24.32/6.34 | (482) all_0_15_15 = e1
% 24.32/6.34 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.32/6.34 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.32/6.34 | (329) ~ (all_0_9_9 = e0)
% 24.32/6.34 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.32/6.34 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.32/6.34 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.32/6.34 | (489) ~ (unit = e0)
% 24.32/6.34 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.32/6.34 | (491) ~ (all_0_5_5 = e0)
% 24.32/6.34 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.32/6.34 |
% 24.32/6.34 | Combining equations (482,1216) yields a new equation:
% 24.32/6.34 | (420) e3 = e1
% 24.32/6.34 |
% 24.32/6.34 | Equations (420) can reduce 111 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.32/6.34 |
% 24.32/6.34 | Applying alpha-rule on (496) yields:
% 24.32/6.34 | (308) ~ (all_0_1_1 = e2)
% 24.32/6.34 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.32/6.34 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.32/6.34 | (214) ~ (all_0_5_5 = e2)
% 24.32/6.34 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.32/6.34 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.32/6.34 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.32/6.34 | (213) ~ (all_0_3_3 = e2)
% 24.32/6.34 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.32/6.34 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.32/6.34 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.32/6.34 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.32/6.34 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.32/6.34 | (309) ~ (all_0_8_8 = e2)
% 24.32/6.34 | (220) ~ (all_0_19_19 = e2)
% 24.32/6.34 | (315) ~ (all_0_17_17 = e2)
% 24.32/6.34 | (216) ~ (all_0_7_7 = e2)
% 24.32/6.34 | (218) ~ (all_0_10_10 = e2)
% 24.32/6.34 | (227) ~ (all_0_13_13 = e2)
% 24.32/6.34 | (229) ~ (all_0_15_15 = e2)
% 24.32/6.34 | (313) ~ (all_0_11_11 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (299) can reduce 227 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (422) ~ (all_0_12_12 = e1)
% 24.32/6.34 | (413) all_0_12_12 = e3
% 24.32/6.34 |
% 24.32/6.34 | Equations (413) can reduce 472 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (227) ~ (all_0_13_13 = e2)
% 24.32/6.34 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (75), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (732) all_0_12_12 = e2
% 24.32/6.34 |
% 24.32/6.34 | Equations (732) can reduce 174 to:
% 24.32/6.34 | (309) ~ (all_0_8_8 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (732) can reduce 88 to:
% 24.32/6.34 | (7959) ~ (all_0_13_13 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 7959 yields:
% 24.32/6.34 | (227) ~ (all_0_13_13 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (732) can reduce 472 to:
% 24.32/6.34 | (232) ~ (e3 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 232 yields:
% 24.32/6.34 | (183) ~ (e3 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (732) can reduce 210 to:
% 24.32/6.34 | (39) ~ (e2 = e0)
% 24.32/6.34 |
% 24.32/6.34 | From (732) and (103) follows:
% 24.32/6.34 | (8098) op(e1, e4) = e2
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (302), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (429) all_0_13_13 = e1
% 24.32/6.34 |
% 24.32/6.34 | Equations (429) can reduce 70 to:
% 24.32/6.34 | (608) ~ (all_0_1_1 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Equations (429) can reduce 137 to:
% 24.32/6.34 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Equations (429) can reduce 19 to:
% 24.32/6.34 | (3405) ~ (all_0_17_17 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 3405 yields:
% 24.32/6.34 | (1015) ~ (all_0_17_17 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Equations (429) can reduce 97 to:
% 24.32/6.34 | (383) ~ (e4 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 383 yields:
% 24.32/6.34 | (207) ~ (e4 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Equations (429) can reduce 416 to:
% 24.32/6.34 | (528) ~ (e3 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 528 yields:
% 24.32/6.34 | (111) ~ (e3 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Equations (429) can reduce 227 to:
% 24.32/6.34 | (530) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 530 yields:
% 24.32/6.34 | (114) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (202), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (307) all_0_9_9 = e2
% 24.32/6.34 |
% 24.32/6.34 | Equations (307) can reduce 110 to:
% 24.32/6.34 | (308) ~ (all_0_1_1 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (307) can reduce 3 to:
% 24.32/6.34 | (309) ~ (all_0_8_8 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (307) can reduce 60 to:
% 24.32/6.34 | (217) ~ (all_0_10_10 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 217 yields:
% 24.32/6.34 | (218) ~ (all_0_10_10 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (307) can reduce 14 to:
% 24.32/6.34 | (312) ~ (all_0_11_11 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 312 yields:
% 24.32/6.34 | (313) ~ (all_0_11_11 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (307) can reduce 56 to:
% 24.32/6.34 | (314) ~ (all_0_17_17 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 314 yields:
% 24.32/6.34 | (315) ~ (all_0_17_17 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (307) can reduce 127 to:
% 24.32/6.34 | (221) ~ (e4 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 221 yields:
% 24.32/6.34 | (194) ~ (e4 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (307) can reduce 58 to:
% 24.32/6.34 | (232) ~ (e3 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 232 yields:
% 24.32/6.34 | (183) ~ (e3 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (307) can reduce 460 to:
% 24.32/6.34 | (114) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (176), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (322) all_0_1_1 = e0
% 24.32/6.34 |
% 24.32/6.34 | Equations (322) can reduce 237 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (237) ~ (all_0_1_1 = e0)
% 24.32/6.34 | (325) all_0_9_9 = e0 | all_0_17_17 = e0
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (325), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (326) all_0_9_9 = e0
% 24.32/6.34 |
% 24.32/6.34 | Combining equations (326,307) yields a new equation:
% 24.32/6.34 | (327) e2 = e0
% 24.32/6.34 |
% 24.32/6.34 | Equations (327) can reduce 39 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (329) ~ (all_0_9_9 = e0)
% 24.32/6.34 | (330) all_0_17_17 = e0
% 24.32/6.34 |
% 24.32/6.34 | Equations (330) can reduce 73 to:
% 24.32/6.34 | (237) ~ (all_0_1_1 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Equations (330) can reduce 315 to:
% 24.32/6.34 | (277) ~ (e2 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 277 yields:
% 24.32/6.34 | (39) ~ (e2 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Equations (330) can reduce 1015 to:
% 24.32/6.34 | (578) ~ (e1 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 578 yields:
% 24.32/6.34 | (109) ~ (e1 = e0)
% 24.32/6.34 |
% 24.32/6.34 | From (330) and (208) follows:
% 24.32/6.34 | (3463) op(e0, e3) = e0
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (142), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (741) all_0_1_1 = e2
% 24.32/6.34 |
% 24.32/6.34 | Equations (741) can reduce 308 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (308) ~ (all_0_1_1 = e2)
% 24.32/6.34 | (847) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (42), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (818) all_0_11_11 = e2
% 24.32/6.34 |
% 24.32/6.34 | Equations (818) can reduce 313 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (313) ~ (all_0_11_11 = e2)
% 24.32/6.34 | (2486) all_0_11_11 = e4 | all_0_11_11 = e1 | all_0_11_11 = e0
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (132), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (318) all_0_8_8 = e0
% 24.32/6.34 |
% 24.32/6.34 | Equations (318) can reduce 146 to:
% 24.32/6.34 | (268) ~ (all_0_0_0 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Equations (318) can reduce 38 to:
% 24.32/6.34 | (2647) ~ (all_0_10_10 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 2647 yields:
% 24.32/6.34 | (144) ~ (all_0_10_10 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Equations (318) can reduce 309 to:
% 24.32/6.34 | (277) ~ (e2 = e0)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 277 yields:
% 24.32/6.34 | (39) ~ (e2 = e0)
% 24.32/6.34 |
% 24.32/6.34 | From (318) and (27) follows:
% 24.32/6.34 | (12111) op(e2, e4) = e0
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (138), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (535) all_0_4_4 = e2
% 24.32/6.34 |
% 24.32/6.34 | Equations (535) can reduce 93 to:
% 24.32/6.34 | (536) ~ (all_0_0_0 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (535) can reduce 33 to:
% 24.32/6.34 | (308) ~ (all_0_1_1 = e2)
% 24.32/6.34 |
% 24.32/6.34 | Equations (535) can reduce 464 to:
% 24.32/6.34 | (114) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (161), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (424) all_0_1_1 = e3
% 24.32/6.34 |
% 24.32/6.34 | Equations (424) can reduce 47 to:
% 24.32/6.34 | (2761) ~ (all_0_3_3 = e3)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 2761 yields:
% 24.32/6.34 | (375) ~ (all_0_3_3 = e3)
% 24.32/6.34 |
% 24.32/6.34 | Equations (424) can reduce 159 to:
% 24.32/6.34 | (408) ~ (e4 = e3)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 408 yields:
% 24.32/6.34 | (23) ~ (e4 = e3)
% 24.32/6.34 |
% 24.32/6.34 | Equations (424) can reduce 308 to:
% 24.32/6.34 | (183) ~ (e3 = e2)
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (37), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (538) all_0_0_0 = e1
% 24.32/6.34 |
% 24.32/6.34 | Equations (538) can reduce 536 to:
% 24.32/6.34 | (530) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 530 yields:
% 24.32/6.34 | (114) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Equations (538) can reduce 268 to:
% 24.32/6.34 | (109) ~ (e1 = e0)
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (164), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (611) all_0_8_8 = e1
% 24.32/6.34 |
% 24.32/6.34 | Combining equations (318,611) yields a new equation:
% 24.32/6.34 | (561) e1 = e0
% 24.32/6.34 |
% 24.32/6.34 | Equations (561) can reduce 109 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (614) ~ (all_0_8_8 = e1)
% 24.32/6.34 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (52), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (630) all_0_4_4 = e4
% 24.32/6.34 |
% 24.32/6.34 | Combining equations (630,535) yields a new equation:
% 24.32/6.34 | (253) e4 = e2
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 253 yields:
% 24.32/6.34 | (254) e4 = e2
% 24.32/6.34 |
% 24.32/6.34 | Equations (254) can reduce 194 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (392) ~ (all_0_4_4 = e4)
% 24.32/6.34 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (2384), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (1290) all_0_9_9 = e1
% 24.32/6.34 |
% 24.32/6.34 | Combining equations (307,1290) yields a new equation:
% 24.32/6.34 | (559) e2 = e1
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 559 yields:
% 24.32/6.34 | (560) e2 = e1
% 24.32/6.34 |
% 24.32/6.34 | Equations (560) can reduce 114 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.34 | (2470) all_0_10_10 = e1 | all_0_11_11 = e1
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (2004), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (2395) all_0_11_11 = e4
% 24.32/6.34 |
% 24.32/6.34 | Equations (2395) can reduce 462 to:
% 24.32/6.34 | (207) ~ (e4 = e1)
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (2470), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (380) all_0_10_10 = e1
% 24.32/6.34 |
% 24.32/6.34 | Equations (380) can reduce 218 to:
% 24.32/6.34 | (530) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Simplifying 530 yields:
% 24.32/6.34 | (114) ~ (e2 = e1)
% 24.32/6.34 |
% 24.32/6.34 | Equations (380) can reduce 144 to:
% 24.32/6.34 | (109) ~ (e1 = e0)
% 24.32/6.34 |
% 24.32/6.34 | From (380) and (128) follows:
% 24.32/6.34 | (385) op(e2, e1) = e1
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (140), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (372) all_0_3_3 = e3
% 24.32/6.34 |
% 24.32/6.34 | Equations (372) can reduce 375 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (375) ~ (all_0_3_3 = e3)
% 24.32/6.34 | (376) all_0_6_6 = e3 | all_0_19_19 = e3
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (376), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (286) all_0_6_6 = e3
% 24.32/6.34 |
% 24.32/6.34 | Combining equations (212,286) yields a new equation:
% 24.32/6.34 | (287) e3 = e2
% 24.32/6.34 |
% 24.32/6.34 | Equations (287) can reduce 183 to:
% 24.32/6.34 | (243) $false
% 24.32/6.34 |
% 24.32/6.34 |-The branch is then unsatisfiable
% 24.32/6.34 |-Branch two:
% 24.32/6.34 | (289) ~ (all_0_6_6 = e3)
% 24.32/6.34 | (404) all_0_19_19 = e3
% 24.32/6.34 |
% 24.32/6.34 | From (404) and (168) follows:
% 24.32/6.34 | (412) op(e0, e1) = e3
% 24.32/6.34 |
% 24.32/6.34 +-Applying beta-rule and splitting (46), into two cases.
% 24.32/6.34 |-Branch one:
% 24.32/6.34 | (548) unit = e2
% 24.32/6.34 |
% 24.32/6.34 | From (548) and (102) follows:
% 24.32/6.34 | (3465) op(e3, e2) = e3
% 24.32/6.34 |
% 24.32/6.34 | From (548) and (139) follows:
% 24.32/6.34 | (2817) op(e2, e2) = e2
% 24.32/6.34 |
% 24.32/6.34 | From (548) and (175) follows:
% 24.32/6.34 | (7774) op(e0, e2) = e0
% 24.32/6.34 |
% 24.32/6.34 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 24.32/6.34 | (420) e3 = e1
% 24.32/6.34 |
% 24.32/6.34 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 24.32/6.35 | (287) e3 = e2
% 24.32/6.35 |
% 24.32/6.35 | Instantiating formula (105) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 24.32/6.35 | (327) e2 = e0
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (420,287) yields a new equation:
% 24.32/6.35 | (560) e2 = e1
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (560,327) yields a new equation:
% 24.32/6.35 | (587) e1 = e0
% 24.32/6.35 |
% 24.32/6.35 | Simplifying 587 yields:
% 24.32/6.35 | (561) e1 = e0
% 24.32/6.35 |
% 24.32/6.35 | Equations (561) can reduce 109 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (547) ~ (unit = e2)
% 24.32/6.35 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (551), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (552) unit = e4
% 24.32/6.35 |
% 24.32/6.35 | From (552) and (139) follows:
% 24.32/6.35 | (554) op(e2, e4) = e2
% 24.32/6.35 |
% 24.32/6.35 | From (552) and (172) follows:
% 24.32/6.35 | (2832) op(e1, e4) = e1
% 24.32/6.35 |
% 24.32/6.35 | Instantiating formula (105) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields:
% 24.32/6.35 | (327) e2 = e0
% 24.32/6.35 |
% 24.32/6.35 | Instantiating formula (105) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields:
% 24.32/6.35 | (560) e2 = e1
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (327,560) yields a new equation:
% 24.32/6.35 | (561) e1 = e0
% 24.32/6.35 |
% 24.32/6.35 | Equations (561) can reduce 109 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (438) ~ (unit = e4)
% 24.32/6.35 | (564) unit = e3 | unit = e1 | unit = e0
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (564), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (565) unit = e1
% 24.32/6.35 |
% 24.32/6.35 | From (565) and (102) follows:
% 24.32/6.35 | (1053) op(e3, e1) = e3
% 24.32/6.35 |
% 24.32/6.35 | From (565) and (139) follows:
% 24.32/6.35 | (1054) op(e2, e1) = e2
% 24.32/6.35 |
% 24.32/6.35 | From (565) and (175) follows:
% 24.32/6.35 | (1055) op(e0, e1) = e0
% 24.32/6.35 |
% 24.32/6.35 | Instantiating formula (105) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 24.32/6.35 | (287) e3 = e2
% 24.32/6.35 |
% 24.32/6.35 | Instantiating formula (105) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 24.32/6.35 | (560) e2 = e1
% 24.32/6.35 |
% 24.32/6.35 | Instantiating formula (105) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 24.32/6.35 | (282) e3 = e0
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (287,282) yields a new equation:
% 24.32/6.35 | (339) e2 = e0
% 24.32/6.35 |
% 24.32/6.35 | Simplifying 339 yields:
% 24.32/6.35 | (327) e2 = e0
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (327,560) yields a new equation:
% 24.32/6.35 | (561) e1 = e0
% 24.32/6.35 |
% 24.32/6.35 | Equations (561) can reduce 109 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (463) ~ (unit = e1)
% 24.32/6.35 | (576) unit = e3 | unit = e0
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (576), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (577) unit = e0
% 24.32/6.35 |
% 24.32/6.35 | Equations (577) can reduce 463 to:
% 24.32/6.35 | (578) ~ (e1 = e0)
% 24.32/6.35 |
% 24.32/6.35 | Simplifying 578 yields:
% 24.32/6.35 | (109) ~ (e1 = e0)
% 24.32/6.35 |
% 24.32/6.35 | From (577) and (121) follows:
% 24.32/6.35 | (3496) op(e0, e3) = e3
% 24.32/6.35 |
% 24.32/6.35 | From (577) and (100) follows:
% 24.32/6.35 | (2851) op(e0, e1) = e1
% 24.32/6.35 |
% 24.32/6.35 | Instantiating formula (105) with e0, e3, e3, e0 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields:
% 24.32/6.35 | (282) e3 = e0
% 24.32/6.35 |
% 24.32/6.35 | Instantiating formula (105) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 24.32/6.35 | (420) e3 = e1
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (420,282) yields a new equation:
% 24.32/6.35 | (587) e1 = e0
% 24.32/6.35 |
% 24.32/6.35 | Simplifying 587 yields:
% 24.32/6.35 | (561) e1 = e0
% 24.32/6.35 |
% 24.32/6.35 | Equations (561) can reduce 109 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (489) ~ (unit = e0)
% 24.32/6.35 | (591) unit = e3
% 24.32/6.35 |
% 24.32/6.35 | From (591) and (100) follows:
% 24.32/6.35 | (592) op(e3, e1) = e1
% 24.32/6.35 |
% 24.32/6.35 | Instantiating formula (105) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields:
% 24.32/6.35 | (560) e2 = e1
% 24.32/6.35 |
% 24.32/6.35 | Equations (560) can reduce 114 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (2075) ~ (all_0_10_10 = e1)
% 24.32/6.35 | (1145) all_0_11_11 = e1
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (2395,1145) yields a new equation:
% 24.32/6.35 | (493) e4 = e1
% 24.32/6.35 |
% 24.32/6.35 | Simplifying 493 yields:
% 24.32/6.35 | (494) e4 = e1
% 24.32/6.35 |
% 24.32/6.35 | Equations (494) can reduce 207 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (2559) ~ (all_0_11_11 = e4)
% 24.32/6.35 | (3020) all_0_15_15 = e4 | all_0_20_20 = e4
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (3020), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (391) all_0_15_15 = e4
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (1216,391) yields a new equation:
% 24.32/6.35 | (373) e4 = e3
% 24.32/6.35 |
% 24.32/6.35 | Equations (373) can reduce 23 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (442) ~ (all_0_15_15 = e4)
% 24.32/6.35 | (792) all_0_20_20 = e4
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (792,523) yields a new equation:
% 24.32/6.35 | (493) e4 = e1
% 24.32/6.35 |
% 24.32/6.35 | Simplifying 493 yields:
% 24.32/6.35 | (494) e4 = e1
% 24.32/6.35 |
% 24.32/6.35 | Equations (494) can reduce 207 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (595) ~ (all_0_0_0 = e1)
% 24.32/6.35 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (164), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (611) all_0_8_8 = e1
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (318,611) yields a new equation:
% 24.32/6.35 | (561) e1 = e0
% 24.32/6.35 |
% 24.32/6.35 | Equations (561) can reduce 109 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (614) ~ (all_0_8_8 = e1)
% 24.32/6.35 | (2384) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (52), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (630) all_0_4_4 = e4
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (535,630) yields a new equation:
% 24.32/6.35 | (254) e4 = e2
% 24.32/6.35 |
% 24.32/6.35 | Equations (254) can reduce 194 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (392) ~ (all_0_4_4 = e4)
% 24.32/6.35 | (2004) all_0_11_11 = e4 | all_0_15_15 = e4 | all_0_20_20 = e4
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (2384), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (1290) all_0_9_9 = e1
% 24.32/6.35 |
% 24.32/6.35 | Combining equations (307,1290) yields a new equation:
% 24.32/6.35 | (559) e2 = e1
% 24.32/6.35 |
% 24.32/6.35 | Simplifying 559 yields:
% 24.32/6.35 | (560) e2 = e1
% 24.32/6.35 |
% 24.32/6.35 | Equations (560) can reduce 114 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (460) ~ (all_0_9_9 = e1)
% 24.32/6.35 | (2470) all_0_10_10 = e1 | all_0_11_11 = e1
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (2004), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (2395) all_0_11_11 = e4
% 24.32/6.35 |
% 24.32/6.35 | Equations (2395) can reduce 462 to:
% 24.32/6.35 | (207) ~ (e4 = e1)
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (2470), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (380) all_0_10_10 = e1
% 24.32/6.35 |
% 24.32/6.35 | Equations (380) can reduce 87 to:
% 24.32/6.35 | (698) ~ (all_0_3_3 = e1)
% 24.32/6.35 |
% 24.32/6.35 | Equations (380) can reduce 141 to:
% 24.32/6.35 | (528) ~ (e3 = e1)
% 24.32/6.35 |
% 24.32/6.35 | Simplifying 528 yields:
% 24.32/6.35 | (111) ~ (e3 = e1)
% 24.32/6.35 |
% 24.32/6.35 | Equations (380) can reduce 218 to:
% 24.32/6.35 | (530) ~ (e2 = e1)
% 24.32/6.35 |
% 24.32/6.35 | Simplifying 530 yields:
% 24.32/6.35 | (114) ~ (e2 = e1)
% 24.32/6.35 |
% 24.32/6.35 +-Applying beta-rule and splitting (107), into two cases.
% 24.32/6.35 |-Branch one:
% 24.32/6.35 | (538) all_0_0_0 = e1
% 24.32/6.35 |
% 24.32/6.35 | Equations (538) can reduce 595 to:
% 24.32/6.35 | (243) $false
% 24.32/6.35 |
% 24.32/6.35 |-The branch is then unsatisfiable
% 24.32/6.35 |-Branch two:
% 24.32/6.35 | (595) ~ (all_0_0_0 = e1)
% 24.42/6.35 | (596) all_0_1_1 = e1 | all_0_3_3 = e1 | all_0_4_4 = e1
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (596), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (605) all_0_1_1 = e1
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (605,424) yields a new equation:
% 24.42/6.35 | (420) e3 = e1
% 24.42/6.35 |
% 24.42/6.35 | Equations (420) can reduce 111 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (608) ~ (all_0_1_1 = e1)
% 24.42/6.35 | (609) all_0_3_3 = e1 | all_0_4_4 = e1
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (609), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (695) all_0_3_3 = e1
% 24.42/6.35 |
% 24.42/6.35 | Equations (695) can reduce 698 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (698) ~ (all_0_3_3 = e1)
% 24.42/6.35 | (634) all_0_4_4 = e1
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (535,634) yields a new equation:
% 24.42/6.35 | (559) e2 = e1
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 559 yields:
% 24.42/6.35 | (560) e2 = e1
% 24.42/6.35 |
% 24.42/6.35 | Equations (560) can reduce 114 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (2075) ~ (all_0_10_10 = e1)
% 24.42/6.35 | (1145) all_0_11_11 = e1
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (2395,1145) yields a new equation:
% 24.42/6.35 | (493) e4 = e1
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 493 yields:
% 24.42/6.35 | (494) e4 = e1
% 24.42/6.35 |
% 24.42/6.35 | Equations (494) can reduce 207 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (2559) ~ (all_0_11_11 = e4)
% 24.42/6.35 | (3020) all_0_15_15 = e4 | all_0_20_20 = e4
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (3020), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (391) all_0_15_15 = e4
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (1216,391) yields a new equation:
% 24.42/6.35 | (373) e4 = e3
% 24.42/6.35 |
% 24.42/6.35 | Equations (373) can reduce 23 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (442) ~ (all_0_15_15 = e4)
% 24.42/6.35 | (792) all_0_20_20 = e4
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (792,523) yields a new equation:
% 24.42/6.35 | (493) e4 = e1
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 493 yields:
% 24.42/6.35 | (494) e4 = e1
% 24.42/6.35 |
% 24.42/6.35 | Equations (494) can reduce 207 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (842) ~ (all_0_1_1 = e3)
% 24.42/6.35 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (847), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (605) all_0_1_1 = e1
% 24.42/6.35 |
% 24.42/6.35 | Equations (605) can reduce 608 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (608) ~ (all_0_1_1 = e1)
% 24.42/6.35 | (861) all_0_1_1 = e3 | all_0_1_1 = e0
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (861), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (322) all_0_1_1 = e0
% 24.42/6.35 |
% 24.42/6.35 | Equations (322) can reduce 237 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (237) ~ (all_0_1_1 = e0)
% 24.42/6.35 | (424) all_0_1_1 = e3
% 24.42/6.35 |
% 24.42/6.35 | Equations (424) can reduce 842 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (625) ~ (all_0_4_4 = e2)
% 24.42/6.35 | (740) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (740), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (812) all_0_7_7 = e2
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (812,3098) yields a new equation:
% 24.42/6.35 | (339) e2 = e0
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 339 yields:
% 24.42/6.35 | (327) e2 = e0
% 24.42/6.35 |
% 24.42/6.35 | Equations (327) can reduce 39 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.35 | (817) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (817), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (818) all_0_11_11 = e2
% 24.42/6.35 |
% 24.42/6.35 | Equations (818) can reduce 313 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (313) ~ (all_0_11_11 = e2)
% 24.42/6.35 | (822) all_0_15_15 = e2 | all_0_20_20 = e2
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (822), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (823) all_0_15_15 = e2
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (1216,823) yields a new equation:
% 24.42/6.35 | (400) e3 = e2
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 400 yields:
% 24.42/6.35 | (287) e3 = e2
% 24.42/6.35 |
% 24.42/6.35 | Equations (287) can reduce 183 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (229) ~ (all_0_15_15 = e2)
% 24.42/6.35 | (784) all_0_20_20 = e2
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (784,523) yields a new equation:
% 24.42/6.35 | (559) e2 = e1
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 559 yields:
% 24.42/6.35 | (560) e2 = e1
% 24.42/6.35 |
% 24.42/6.35 | Equations (560) can reduce 114 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (272) ~ (all_0_8_8 = e0)
% 24.42/6.35 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (321), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (326) all_0_9_9 = e0
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (326,307) yields a new equation:
% 24.42/6.35 | (327) e2 = e0
% 24.42/6.35 |
% 24.42/6.35 | Equations (327) can reduce 39 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.35 | (343) all_0_11_11 = e0
% 24.42/6.35 |
% 24.42/6.35 | Equations (343) can reduce 2480 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (2398) ~ (all_0_9_9 = e2)
% 24.42/6.35 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (29), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (741) all_0_1_1 = e2
% 24.42/6.35 |
% 24.42/6.35 | Equations (741) can reduce 110 to:
% 24.42/6.35 | (2401) ~ (all_0_9_9 = e2)
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 2401 yields:
% 24.42/6.35 | (2398) ~ (all_0_9_9 = e2)
% 24.42/6.35 |
% 24.42/6.35 | Equations (741) can reduce 73 to:
% 24.42/6.35 | (314) ~ (all_0_17_17 = e2)
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 314 yields:
% 24.42/6.35 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (74), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (788) all_0_0_0 = e3
% 24.42/6.35 |
% 24.42/6.35 | Equations (788) can reduce 414 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.35 | (853) all_0_1_1 = e3 | all_0_3_3 = e3 | all_0_4_4 = e3
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (853), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (424) all_0_1_1 = e3
% 24.42/6.35 |
% 24.42/6.35 | Combining equations (424,741) yields a new equation:
% 24.42/6.35 | (400) e3 = e2
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 400 yields:
% 24.42/6.35 | (287) e3 = e2
% 24.42/6.35 |
% 24.42/6.35 | Equations (287) can reduce 183 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (842) ~ (all_0_1_1 = e3)
% 24.42/6.35 | (857) all_0_3_3 = e3 | all_0_4_4 = e3
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (857), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (372) all_0_3_3 = e3
% 24.42/6.35 |
% 24.42/6.35 | Equations (372) can reduce 85 to:
% 24.42/6.35 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.35 |
% 24.42/6.35 | Equations (372) can reduce 86 to:
% 24.42/6.35 | (426) ~ (all_0_4_4 = e3)
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 426 yields:
% 24.42/6.35 | (291) ~ (all_0_4_4 = e3)
% 24.42/6.35 |
% 24.42/6.35 | Equations (372) can reduce 87 to:
% 24.42/6.35 | (5964) ~ (all_0_10_10 = e3)
% 24.42/6.35 |
% 24.42/6.35 | Simplifying 5964 yields:
% 24.42/6.35 | (141) ~ (all_0_10_10 = e3)
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (2), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (727) all_0_8_8 = e2
% 24.42/6.35 |
% 24.42/6.35 | Equations (727) can reduce 309 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (309) ~ (all_0_8_8 = e2)
% 24.42/6.35 | (2629) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (2629), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (307) all_0_9_9 = e2
% 24.42/6.35 |
% 24.42/6.35 | Equations (307) can reduce 2398 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (2398) ~ (all_0_9_9 = e2)
% 24.42/6.35 | (2633) all_0_10_10 = e2 | all_0_11_11 = e2
% 24.42/6.35 |
% 24.42/6.35 +-Applying beta-rule and splitting (2633), into two cases.
% 24.42/6.35 |-Branch one:
% 24.42/6.35 | (303) all_0_10_10 = e2
% 24.42/6.35 |
% 24.42/6.35 | Equations (303) can reduce 218 to:
% 24.42/6.35 | (243) $false
% 24.42/6.35 |
% 24.42/6.35 |-The branch is then unsatisfiable
% 24.42/6.35 |-Branch two:
% 24.42/6.35 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.35 | (818) all_0_11_11 = e2
% 24.42/6.35 |
% 24.42/6.35 | Equations (818) can reduce 82 to:
% 24.42/6.35 | (625) ~ (all_0_4_4 = e2)
% 24.42/6.35 |
% 24.42/6.35 | Equations (818) can reduce 14 to:
% 24.42/6.35 | (2398) ~ (all_0_9_9 = e2)
% 24.42/6.35 |
% 24.42/6.35 | Equations (818) can reduce 155 to:
% 24.42/6.35 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.35 |
% 24.42/6.36 | Equations (818) can reduce 30 to:
% 24.42/6.36 | (232) ~ (e3 = e2)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 232 yields:
% 24.42/6.36 | (183) ~ (e3 = e2)
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (156), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (535) all_0_4_4 = e2
% 24.42/6.36 |
% 24.42/6.36 | Equations (535) can reduce 625 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (625) ~ (all_0_4_4 = e2)
% 24.42/6.36 | (626) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (626), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (630) all_0_4_4 = e4
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (104), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (695) all_0_3_3 = e1
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (695,372) yields a new equation:
% 24.42/6.36 | (420) e3 = e1
% 24.42/6.36 |
% 24.42/6.36 | Equations (420) can reduce 111 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (698) ~ (all_0_3_3 = e1)
% 24.42/6.36 | (2066) all_0_10_10 = e1 | all_0_19_19 = e1
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (2066), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (380) all_0_10_10 = e1
% 24.42/6.36 |
% 24.42/6.36 | Equations (380) can reduce 38 to:
% 24.42/6.36 | (614) ~ (all_0_8_8 = e1)
% 24.42/6.36 |
% 24.42/6.36 | Equations (380) can reduce 60 to:
% 24.42/6.36 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.36 |
% 24.42/6.36 | Equations (380) can reduce 141 to:
% 24.42/6.36 | (528) ~ (e3 = e1)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 528 yields:
% 24.42/6.36 | (111) ~ (e3 = e1)
% 24.42/6.36 |
% 24.42/6.36 | Equations (380) can reduce 218 to:
% 24.42/6.36 | (530) ~ (e2 = e1)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 530 yields:
% 24.42/6.36 | (114) ~ (e2 = e1)
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (2399), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (1290) all_0_9_9 = e1
% 24.42/6.36 |
% 24.42/6.36 | Equations (1290) can reduce 460 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.36 | (326) all_0_9_9 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (326) can reduce 56 to:
% 24.42/6.36 | (2481) ~ (all_0_17_17 = e0)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 2481 yields:
% 24.42/6.36 | (2482) ~ (all_0_17_17 = e0)
% 24.42/6.36 |
% 24.42/6.36 | Equations (326) can reduce 2398 to:
% 24.42/6.36 | (277) ~ (e2 = e0)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 277 yields:
% 24.42/6.36 | (39) ~ (e2 = e0)
% 24.42/6.36 |
% 24.42/6.36 | Equations (326) can reduce 460 to:
% 24.42/6.36 | (578) ~ (e1 = e0)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 578 yields:
% 24.42/6.36 | (109) ~ (e1 = e0)
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (59), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (1820) all_0_17_17 = e2
% 24.42/6.36 |
% 24.42/6.36 | Equations (1820) can reduce 315 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.36 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (72), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (433), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (434), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (435), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.42/6.36 |
% 24.42/6.36 | Applying alpha-rule on (436) yields:
% 24.42/6.36 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.42/6.36 | (438) ~ (unit = e4)
% 24.42/6.36 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.42/6.36 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.42/6.36 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.42/6.36 | (442) ~ (all_0_15_15 = e4)
% 24.42/6.36 | (280) all_0_5_5 = e3
% 24.42/6.36 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.42/6.36 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.42/6.36 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.42/6.36 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.42/6.36 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (161), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (424) all_0_1_1 = e3
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (424,741) yields a new equation:
% 24.42/6.36 | (400) e3 = e2
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 400 yields:
% 24.42/6.36 | (287) e3 = e2
% 24.42/6.36 |
% 24.42/6.36 | Equations (287) can reduce 183 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (842) ~ (all_0_1_1 = e3)
% 24.42/6.36 | (843) all_0_13_13 = e3 | all_0_17_17 = e3
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (37), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (538) all_0_0_0 = e1
% 24.42/6.36 |
% 24.42/6.36 | Equations (538) can reduce 188 to:
% 24.42/6.36 | (906) ~ (all_0_16_16 = e1)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 906 yields:
% 24.42/6.36 | (525) ~ (all_0_16_16 = e1)
% 24.42/6.36 |
% 24.42/6.36 | Equations (538) can reduce 414 to:
% 24.42/6.36 | (528) ~ (e3 = e1)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 528 yields:
% 24.42/6.36 | (111) ~ (e3 = e1)
% 24.42/6.36 |
% 24.42/6.36 | Equations (538) can reduce 268 to:
% 24.42/6.36 | (109) ~ (e1 = e0)
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (167), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (1902) all_0_16_16 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (1902) can reduce 525 to:
% 24.42/6.36 | (578) ~ (e1 = e0)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 578 yields:
% 24.42/6.36 | (109) ~ (e1 = e0)
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (446), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (392) ~ (all_0_4_4 = e4)
% 24.42/6.36 |
% 24.42/6.36 | Equations (630) can reduce 392 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (630) all_0_4_4 = e4
% 24.42/6.36 | (797) all_0_0_0 = e0
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (797,538) yields a new equation:
% 24.42/6.36 | (561) e1 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (561) can reduce 109 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (276) ~ (all_0_16_16 = e0)
% 24.42/6.36 | (2522) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (843), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (868) all_0_13_13 = e3
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (429,868) yields a new equation:
% 24.42/6.36 | (420) e3 = e1
% 24.42/6.36 |
% 24.42/6.36 | Equations (420) can reduce 111 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (416) ~ (all_0_13_13 = e3)
% 24.42/6.36 | (1181) all_0_17_17 = e3
% 24.42/6.36 |
% 24.42/6.36 | Equations (1181) can reduce 2482 to:
% 24.42/6.36 | (54) ~ (e3 = e0)
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (2522), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (330) all_0_17_17 = e0
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (1181,330) yields a new equation:
% 24.42/6.36 | (281) e3 = e0
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 281 yields:
% 24.42/6.36 | (282) e3 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (282) can reduce 54 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (2482) ~ (all_0_17_17 = e0)
% 24.42/6.36 | (2530) all_0_18_18 = e0 | all_0_20_20 = e0
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (2530), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (832) all_0_18_18 = e0
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (242,832) yields a new equation:
% 24.42/6.36 | (339) e2 = e0
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 339 yields:
% 24.42/6.36 | (327) e2 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (327) can reduce 39 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (2539) ~ (all_0_18_18 = e0)
% 24.42/6.36 | (1492) all_0_20_20 = e0
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (523,1492) yields a new equation:
% 24.42/6.36 | (587) e1 = e0
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 587 yields:
% 24.42/6.36 | (561) e1 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (561) can reduce 109 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (595) ~ (all_0_0_0 = e1)
% 24.42/6.36 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (2810), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (1012) all_0_17_17 = e1
% 24.42/6.36 |
% 24.42/6.36 | Equations (1012) can reduce 1015 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (1015) ~ (all_0_17_17 = e1)
% 24.42/6.36 | (2871) all_0_17_17 = e3 | all_0_17_17 = e0
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (600), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (611) all_0_8_8 = e1
% 24.42/6.36 |
% 24.42/6.36 | Equations (611) can reduce 614 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (614) ~ (all_0_8_8 = e1)
% 24.42/6.36 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (167), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (1902) all_0_16_16 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (1902) can reduce 525 to:
% 24.42/6.36 | (578) ~ (e1 = e0)
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 578 yields:
% 24.42/6.36 | (109) ~ (e1 = e0)
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (615), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (418) all_0_12_12 = e1
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (732,418) yields a new equation:
% 24.42/6.36 | (559) e2 = e1
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 559 yields:
% 24.42/6.36 | (560) e2 = e1
% 24.42/6.36 |
% 24.42/6.36 | Equations (560) can reduce 114 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.36 | (621) all_0_16_16 = e1
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (1902,621) yields a new equation:
% 24.42/6.36 | (561) e1 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (561) can reduce 109 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (276) ~ (all_0_16_16 = e0)
% 24.42/6.36 | (2522) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (2871), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (330) all_0_17_17 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (330) can reduce 2482 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (2482) ~ (all_0_17_17 = e0)
% 24.42/6.36 | (1181) all_0_17_17 = e3
% 24.42/6.36 |
% 24.42/6.36 | Equations (1181) can reduce 2482 to:
% 24.42/6.36 | (54) ~ (e3 = e0)
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (2522), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (330) all_0_17_17 = e0
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (330,1181) yields a new equation:
% 24.42/6.36 | (282) e3 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (282) can reduce 54 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (2482) ~ (all_0_17_17 = e0)
% 24.42/6.36 | (2530) all_0_18_18 = e0 | all_0_20_20 = e0
% 24.42/6.36 |
% 24.42/6.36 +-Applying beta-rule and splitting (2530), into two cases.
% 24.42/6.36 |-Branch one:
% 24.42/6.36 | (832) all_0_18_18 = e0
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (242,832) yields a new equation:
% 24.42/6.36 | (339) e2 = e0
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 339 yields:
% 24.42/6.36 | (327) e2 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (327) can reduce 39 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (2539) ~ (all_0_18_18 = e0)
% 24.42/6.36 | (1492) all_0_20_20 = e0
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (1492,523) yields a new equation:
% 24.42/6.36 | (561) e1 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (561) can reduce 109 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.42/6.36 |
% 24.42/6.36 | Applying alpha-rule on (452) yields:
% 24.42/6.36 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.42/6.36 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.42/6.36 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.36 | (212) all_0_6_6 = e2
% 24.42/6.36 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.42/6.36 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.36 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.42/6.36 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.36 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.36 | (462) ~ (all_0_11_11 = e1)
% 24.42/6.36 | (463) ~ (unit = e1)
% 24.42/6.36 | (464) ~ (all_0_4_4 = e1)
% 24.42/6.36 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.42/6.36 |
% 24.42/6.36 | Equations (523) can reduce 461 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.42/6.36 |
% 24.42/6.36 | Applying alpha-rule on (467) yields:
% 24.42/6.36 | (468) ~ (all_0_7_7 = e3)
% 24.42/6.36 | (405) ~ (all_0_16_16 = e3)
% 24.42/6.36 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.42/6.36 | (295) ~ (all_0_15_15 = e3)
% 24.42/6.36 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.36 | (289) ~ (all_0_6_6 = e3)
% 24.42/6.36 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.42/6.36 | (475) ~ (unit = e3)
% 24.42/6.36 | (307) all_0_9_9 = e2
% 24.42/6.36 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.42/6.36 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.42/6.36 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (307,326) yields a new equation:
% 24.42/6.36 | (339) e2 = e0
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 339 yields:
% 24.42/6.36 | (327) e2 = e0
% 24.42/6.36 |
% 24.42/6.36 | Equations (327) can reduce 39 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.42/6.36 |
% 24.42/6.36 | Applying alpha-rule on (481) yields:
% 24.42/6.36 | (482) all_0_15_15 = e1
% 24.42/6.36 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.42/6.36 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.42/6.36 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.36 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.42/6.36 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.42/6.36 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.42/6.36 | (489) ~ (unit = e0)
% 24.42/6.36 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.42/6.36 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.36 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.42/6.36 |
% 24.42/6.36 | Combining equations (1216,482) yields a new equation:
% 24.42/6.36 | (419) e3 = e1
% 24.42/6.36 |
% 24.42/6.36 | Simplifying 419 yields:
% 24.42/6.36 | (420) e3 = e1
% 24.42/6.36 |
% 24.42/6.36 | Equations (420) can reduce 111 to:
% 24.42/6.36 | (243) $false
% 24.42/6.36 |
% 24.42/6.36 |-The branch is then unsatisfiable
% 24.42/6.36 |-Branch two:
% 24.42/6.36 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.42/6.36 |
% 24.42/6.36 | Applying alpha-rule on (496) yields:
% 24.42/6.36 | (308) ~ (all_0_1_1 = e2)
% 24.42/6.36 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.42/6.36 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.42/6.36 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.36 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.42/6.36 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.42/6.36 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.42/6.36 | (213) ~ (all_0_3_3 = e2)
% 24.42/6.36 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.42/6.36 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.42/6.36 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.42/6.36 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.42/6.36 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.42/6.36 | (309) ~ (all_0_8_8 = e2)
% 24.42/6.36 | (220) ~ (all_0_19_19 = e2)
% 24.42/6.36 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.36 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.36 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.36 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.36 | (229) ~ (all_0_15_15 = e2)
% 24.42/6.37 | (313) ~ (all_0_11_11 = e2)
% 24.42/6.37 |
% 24.42/6.37 | Equations (818) can reduce 313 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (2075) ~ (all_0_10_10 = e1)
% 24.42/6.37 | (1017) all_0_19_19 = e1
% 24.42/6.37 |
% 24.42/6.37 | Equations (1017) can reduce 382 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (392) ~ (all_0_4_4 = e4)
% 24.42/6.37 | (633) all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (633), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (634) all_0_4_4 = e1
% 24.42/6.37 |
% 24.42/6.37 | Equations (634) can reduce 464 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (464) ~ (all_0_4_4 = e1)
% 24.42/6.37 | (637) all_0_4_4 = e3 | all_0_4_4 = e0
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (637), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (638) all_0_4_4 = e0
% 24.42/6.37 |
% 24.42/6.37 | Equations (638) can reduce 344 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (344) ~ (all_0_4_4 = e0)
% 24.42/6.37 | (641) all_0_4_4 = e3
% 24.42/6.37 |
% 24.42/6.37 | Equations (641) can reduce 291 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (375) ~ (all_0_3_3 = e3)
% 24.42/6.37 | (641) all_0_4_4 = e3
% 24.42/6.37 |
% 24.42/6.37 | Equations (641) can reduce 291 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (308) ~ (all_0_1_1 = e2)
% 24.42/6.37 | (2925) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (2925), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (307) all_0_9_9 = e2
% 24.42/6.37 |
% 24.42/6.37 | Equations (307) can reduce 2398 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (2398) ~ (all_0_9_9 = e2)
% 24.42/6.37 | (3258) all_0_13_13 = e2 | all_0_17_17 = e2
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (59), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (1820) all_0_17_17 = e2
% 24.42/6.37 |
% 24.42/6.37 | Equations (1820) can reduce 315 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.37 | (2810) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (3258), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (299) all_0_13_13 = e2
% 24.42/6.37 |
% 24.42/6.37 | Combining equations (429,299) yields a new equation:
% 24.42/6.37 | (560) e2 = e1
% 24.42/6.37 |
% 24.42/6.37 | Equations (560) can reduce 114 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.37 | (1820) all_0_17_17 = e2
% 24.42/6.37 |
% 24.42/6.37 | Equations (1820) can reduce 315 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.37 | (868) all_0_13_13 = e3
% 24.42/6.37 |
% 24.42/6.37 | Equations (868) can reduce 416 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (226) ~ (all_0_12_12 = e2)
% 24.42/6.37 | (8345) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (8345), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (299) all_0_13_13 = e2
% 24.42/6.37 |
% 24.42/6.37 | Equations (299) can reduce 227 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.37 | (8353) all_0_14_14 = e2 | all_0_15_15 = e2
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (8353), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (224) all_0_14_14 = e2
% 24.42/6.37 |
% 24.42/6.37 | Combining equations (252,224) yields a new equation:
% 24.42/6.37 | (253) e4 = e2
% 24.42/6.37 |
% 24.42/6.37 | Simplifying 253 yields:
% 24.42/6.37 | (254) e4 = e2
% 24.42/6.37 |
% 24.42/6.37 | Equations (254) can reduce 194 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (7736) ~ (all_0_14_14 = e2)
% 24.42/6.37 | (823) all_0_15_15 = e2
% 24.42/6.37 |
% 24.42/6.37 | Combining equations (1216,823) yields a new equation:
% 24.42/6.37 | (400) e3 = e2
% 24.42/6.37 |
% 24.42/6.37 | Simplifying 400 yields:
% 24.42/6.37 | (287) e3 = e2
% 24.42/6.37 |
% 24.42/6.37 | Equations (287) can reduce 183 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.37 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (780), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (788) all_0_0_0 = e3
% 24.42/6.37 |
% 24.42/6.37 | Equations (788) can reduce 414 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.37 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (791), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 24.42/6.37 |
% 24.42/6.37 | Applying alpha-rule on (796) yields:
% 24.42/6.37 | (797) all_0_0_0 = e0
% 24.42/6.37 | (792) all_0_20_20 = e4
% 24.42/6.37 | (392) ~ (all_0_4_4 = e4)
% 24.42/6.37 |
% 24.42/6.37 | Equations (797) can reduce 268 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 24.42/6.37 |
% 24.42/6.37 | Applying alpha-rule on (801) yields:
% 24.42/6.37 | (797) all_0_0_0 = e0
% 24.42/6.37 | (792) all_0_20_20 = e4
% 24.42/6.37 | (276) ~ (all_0_16_16 = e0)
% 24.42/6.37 |
% 24.42/6.37 | Equations (797) can reduce 268 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (12630) ~ (all_0_6_6 = e2)
% 24.42/6.37 | (286) all_0_6_6 = e3
% 24.42/6.37 |
% 24.42/6.37 | Equations (286) can reduce 89 to:
% 24.42/6.37 | (284) ~ (all_0_5_5 = e3)
% 24.42/6.37 |
% 24.42/6.37 | Equations (286) can reduce 31 to:
% 24.42/6.37 | (12633) ~ (all_0_7_7 = e3)
% 24.42/6.37 |
% 24.42/6.37 | Simplifying 12633 yields:
% 24.42/6.37 | (468) ~ (all_0_7_7 = e3)
% 24.42/6.37 |
% 24.42/6.37 | Equations (286) can reduce 17 to:
% 24.42/6.37 | (5964) ~ (all_0_10_10 = e3)
% 24.42/6.37 |
% 24.42/6.37 | Simplifying 5964 yields:
% 24.42/6.37 | (141) ~ (all_0_10_10 = e3)
% 24.42/6.37 |
% 24.42/6.37 | Equations (286) can reduce 24 to:
% 24.42/6.37 | (111) ~ (e3 = e1)
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (94), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (224) all_0_14_14 = e2
% 24.42/6.37 |
% 24.42/6.37 | Equations (224) can reduce 90 to:
% 24.42/6.37 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.37 |
% 24.42/6.37 | Equations (224) can reduce 196 to:
% 24.42/6.37 | (230) ~ (all_0_18_18 = e2)
% 24.42/6.37 |
% 24.42/6.37 | Simplifying 230 yields:
% 24.42/6.37 | (231) ~ (all_0_18_18 = e2)
% 24.42/6.37 |
% 24.42/6.37 | Equations (224) can reduce 12 to:
% 24.42/6.37 | (39) ~ (e2 = e0)
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (116), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (812) all_0_7_7 = e2
% 24.42/6.37 |
% 24.42/6.37 | Equations (812) can reduce 468 to:
% 24.42/6.37 | (232) ~ (e3 = e2)
% 24.42/6.37 |
% 24.42/6.37 | Simplifying 232 yields:
% 24.42/6.37 | (183) ~ (e3 = e2)
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (130), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (267) all_0_5_5 = e0
% 24.42/6.37 |
% 24.42/6.37 | Equations (267) can reduce 284 to:
% 24.42/6.37 | (240) ~ (e3 = e0)
% 24.42/6.37 |
% 24.42/6.37 | Simplifying 240 yields:
% 24.42/6.37 | (54) ~ (e3 = e0)
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (72), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (433), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (434), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.42/6.37 |
% 24.42/6.37 +-Applying beta-rule and splitting (435), into two cases.
% 24.42/6.37 |-Branch one:
% 24.42/6.37 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.42/6.37 |
% 24.42/6.37 | Applying alpha-rule on (436) yields:
% 24.42/6.37 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.42/6.37 | (438) ~ (unit = e4)
% 24.42/6.37 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.42/6.37 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.42/6.37 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.42/6.37 | (442) ~ (all_0_15_15 = e4)
% 24.42/6.37 | (280) all_0_5_5 = e3
% 24.42/6.37 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.42/6.37 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.42/6.37 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.42/6.37 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.42/6.37 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.42/6.37 |
% 24.42/6.37 | Combining equations (280,267) yields a new equation:
% 24.42/6.37 | (281) e3 = e0
% 24.42/6.37 |
% 24.42/6.37 | Simplifying 281 yields:
% 24.42/6.37 | (282) e3 = e0
% 24.42/6.37 |
% 24.42/6.37 | Equations (282) can reduce 54 to:
% 24.42/6.37 | (243) $false
% 24.42/6.37 |
% 24.42/6.37 |-The branch is then unsatisfiable
% 24.42/6.37 |-Branch two:
% 24.42/6.37 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.42/6.37 |
% 24.42/6.37 | Applying alpha-rule on (452) yields:
% 24.42/6.37 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.42/6.37 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.42/6.37 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.37 | (212) all_0_6_6 = e2
% 24.42/6.37 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.42/6.37 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.37 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.42/6.37 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.37 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.37 | (462) ~ (all_0_11_11 = e1)
% 24.42/6.37 | (463) ~ (unit = e1)
% 24.42/6.37 | (464) ~ (all_0_4_4 = e1)
% 24.42/6.37 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.42/6.37 |
% 24.42/6.37 | Combining equations (286,212) yields a new equation:
% 24.42/6.37 | (400) e3 = e2
% 24.42/6.37 |
% 24.42/6.37 | Simplifying 400 yields:
% 24.42/6.37 | (287) e3 = e2
% 24.42/6.37 |
% 24.42/6.37 | Equations (287) can reduce 183 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Applying alpha-rule on (467) yields:
% 24.42/6.38 | (468) ~ (all_0_7_7 = e3)
% 24.42/6.38 | (405) ~ (all_0_16_16 = e3)
% 24.42/6.38 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.42/6.38 | (295) ~ (all_0_15_15 = e3)
% 24.42/6.38 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.38 | (289) ~ (all_0_6_6 = e3)
% 24.42/6.38 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.42/6.38 | (475) ~ (unit = e3)
% 24.42/6.38 | (307) all_0_9_9 = e2
% 24.42/6.38 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.42/6.38 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.42/6.38 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.38 |
% 24.42/6.38 | Equations (286) can reduce 289 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.42/6.38 |
% 24.42/6.38 | Applying alpha-rule on (481) yields:
% 24.42/6.38 | (482) all_0_15_15 = e1
% 24.42/6.38 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.42/6.38 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.42/6.38 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.38 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.42/6.38 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.42/6.38 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.42/6.38 | (489) ~ (unit = e0)
% 24.42/6.38 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.42/6.38 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.38 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.42/6.38 |
% 24.42/6.38 | Equations (267) can reduce 491 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.42/6.38 |
% 24.42/6.38 | Applying alpha-rule on (496) yields:
% 24.42/6.38 | (308) ~ (all_0_1_1 = e2)
% 24.42/6.38 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.42/6.38 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.42/6.38 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.38 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.42/6.38 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.42/6.38 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.42/6.38 | (213) ~ (all_0_3_3 = e2)
% 24.42/6.38 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.42/6.38 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.42/6.38 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.42/6.38 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.42/6.38 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.42/6.38 | (309) ~ (all_0_8_8 = e2)
% 24.42/6.38 | (220) ~ (all_0_19_19 = e2)
% 24.42/6.38 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.38 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.38 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.38 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.38 | (229) ~ (all_0_15_15 = e2)
% 24.42/6.38 | (313) ~ (all_0_11_11 = e2)
% 24.42/6.38 |
% 24.42/6.38 | Equations (812) can reduce 216 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.38 | (3098) all_0_7_7 = e0
% 24.42/6.38 |
% 24.42/6.38 | Combining equations (812,3098) yields a new equation:
% 24.42/6.38 | (339) e2 = e0
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 339 yields:
% 24.42/6.38 | (327) e2 = e0
% 24.42/6.38 |
% 24.42/6.38 | Equations (327) can reduce 39 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.38 | (4097) all_0_7_7 = e3 | all_0_7_7 = e0
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (205), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (722) all_0_5_5 = e2
% 24.42/6.38 |
% 24.42/6.38 | Equations (722) can reduce 92 to:
% 24.42/6.38 | (6357) ~ (all_0_12_12 = e2)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 6357 yields:
% 24.42/6.38 | (226) ~ (all_0_12_12 = e2)
% 24.42/6.38 |
% 24.42/6.38 | Equations (722) can reduce 284 to:
% 24.42/6.38 | (232) ~ (e3 = e2)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 232 yields:
% 24.42/6.38 | (183) ~ (e3 = e2)
% 24.42/6.38 |
% 24.42/6.38 | From (722) and (61) follows:
% 24.42/6.38 | (12747) op(e3, e4) = e2
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (4097), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (3098) all_0_7_7 = e0
% 24.42/6.38 |
% 24.42/6.38 | Equations (3098) can reduce 131 to:
% 24.42/6.38 | (2479) ~ (all_0_11_11 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 2479 yields:
% 24.42/6.38 | (2480) ~ (all_0_11_11 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Equations (3098) can reduce 6 to:
% 24.42/6.38 | (346) ~ (all_0_15_15 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 346 yields:
% 24.42/6.38 | (151) ~ (all_0_15_15 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Equations (3098) can reduce 55 to:
% 24.42/6.38 | (348) ~ (all_0_20_20 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 348 yields:
% 24.42/6.38 | (349) ~ (all_0_20_20 = e0)
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (72), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (433), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (434), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (435), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Applying alpha-rule on (436) yields:
% 24.42/6.38 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.42/6.38 | (438) ~ (unit = e4)
% 24.42/6.38 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.42/6.38 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.42/6.38 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.42/6.38 | (442) ~ (all_0_15_15 = e4)
% 24.42/6.38 | (280) all_0_5_5 = e3
% 24.42/6.38 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.42/6.38 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.42/6.38 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.42/6.38 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.42/6.38 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.42/6.38 |
% 24.42/6.38 | Combining equations (280,722) yields a new equation:
% 24.42/6.38 | (400) e3 = e2
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 400 yields:
% 24.42/6.38 | (287) e3 = e2
% 24.42/6.38 |
% 24.42/6.38 | Equations (287) can reduce 183 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.42/6.38 |
% 24.42/6.38 | Applying alpha-rule on (452) yields:
% 24.42/6.38 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.42/6.38 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.42/6.38 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.38 | (212) all_0_6_6 = e2
% 24.42/6.38 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.42/6.38 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.38 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.42/6.38 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.38 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.38 | (462) ~ (all_0_11_11 = e1)
% 24.42/6.38 | (463) ~ (unit = e1)
% 24.42/6.38 | (464) ~ (all_0_4_4 = e1)
% 24.42/6.38 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.42/6.38 |
% 24.42/6.38 | Combining equations (286,212) yields a new equation:
% 24.42/6.38 | (400) e3 = e2
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 400 yields:
% 24.42/6.38 | (287) e3 = e2
% 24.42/6.38 |
% 24.42/6.38 | Equations (287) can reduce 183 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Applying alpha-rule on (467) yields:
% 24.42/6.38 | (468) ~ (all_0_7_7 = e3)
% 24.42/6.38 | (405) ~ (all_0_16_16 = e3)
% 24.42/6.38 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.42/6.38 | (295) ~ (all_0_15_15 = e3)
% 24.42/6.38 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.38 | (289) ~ (all_0_6_6 = e3)
% 24.42/6.38 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.42/6.38 | (475) ~ (unit = e3)
% 24.42/6.38 | (307) all_0_9_9 = e2
% 24.42/6.38 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.42/6.38 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.42/6.38 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.38 |
% 24.42/6.38 | Equations (286) can reduce 289 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.42/6.38 |
% 24.42/6.38 | Applying alpha-rule on (481) yields:
% 24.42/6.38 | (482) all_0_15_15 = e1
% 24.42/6.38 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.42/6.38 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.42/6.38 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.38 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.42/6.38 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.42/6.38 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.42/6.38 | (489) ~ (unit = e0)
% 24.42/6.38 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.42/6.38 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.38 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.42/6.38 |
% 24.42/6.38 | Equations (482) can reduce 36 to:
% 24.42/6.38 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.38 |
% 24.42/6.38 | Equations (482) can reduce 179 to:
% 24.42/6.38 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.38 |
% 24.42/6.38 | Equations (482) can reduce 40 to:
% 24.42/6.38 | (2079) ~ (all_0_20_20 = e1)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 2079 yields:
% 24.42/6.38 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.38 |
% 24.42/6.38 | Equations (482) can reduce 151 to:
% 24.42/6.38 | (109) ~ (e1 = e0)
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (132), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (318) all_0_8_8 = e0
% 24.42/6.38 |
% 24.42/6.38 | Equations (318) can reduce 38 to:
% 24.42/6.38 | (2647) ~ (all_0_10_10 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 2647 yields:
% 24.42/6.38 | (144) ~ (all_0_10_10 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Equations (318) can reduce 187 to:
% 24.42/6.38 | (275) ~ (all_0_16_16 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 275 yields:
% 24.42/6.38 | (276) ~ (all_0_16_16 = e0)
% 24.42/6.38 |
% 24.42/6.38 | From (318) and (27) follows:
% 24.42/6.38 | (12111) op(e2, e4) = e0
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (486), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (272) ~ (all_0_8_8 = e0)
% 24.42/6.38 |
% 24.42/6.38 | Equations (318) can reduce 272 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (318) all_0_8_8 = e0
% 24.42/6.38 | (2395) all_0_11_11 = e4
% 24.42/6.38 |
% 24.42/6.38 | Equations (2395) can reduce 155 to:
% 24.42/6.38 | (355) ~ (all_0_10_10 = e4)
% 24.42/6.38 |
% 24.42/6.38 | Equations (2395) can reduce 45 to:
% 24.42/6.38 | (262) ~ (all_0_20_20 = e4)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 262 yields:
% 24.42/6.38 | (263) ~ (all_0_20_20 = e4)
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (171), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (299) all_0_13_13 = e2
% 24.42/6.38 |
% 24.42/6.38 | Equations (299) can reduce 227 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.38 | (302) all_0_13_13 = e3 | all_0_13_13 = e1
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (18), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (523) all_0_20_20 = e1
% 24.42/6.38 |
% 24.42/6.38 | Equations (523) can reduce 461 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.38 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (780), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (788) all_0_0_0 = e3
% 24.42/6.38 |
% 24.42/6.38 | Equations (788) can reduce 93 to:
% 24.42/6.38 | (426) ~ (all_0_4_4 = e3)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 426 yields:
% 24.42/6.38 | (291) ~ (all_0_4_4 = e3)
% 24.42/6.38 |
% 24.42/6.38 | Equations (788) can reduce 80 to:
% 24.42/6.38 | (3108) ~ (all_0_12_12 = e3)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 3108 yields:
% 24.42/6.38 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.38 |
% 24.42/6.38 | Equations (788) can reduce 188 to:
% 24.42/6.38 | (1883) ~ (all_0_16_16 = e3)
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 1883 yields:
% 24.42/6.38 | (405) ~ (all_0_16_16 = e3)
% 24.42/6.38 |
% 24.42/6.38 | From (788) and (201) follows:
% 24.42/6.38 | (882) op(e4, e4) = e3
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (150), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (360) all_0_12_12 = e4
% 24.42/6.38 |
% 24.42/6.38 | Equations (360) can reduce 472 to:
% 24.42/6.38 | (23) ~ (e4 = e3)
% 24.42/6.38 |
% 24.42/6.38 | Equations (360) can reduce 422 to:
% 24.42/6.38 | (207) ~ (e4 = e1)
% 24.42/6.38 |
% 24.42/6.38 | From (360) and (103) follows:
% 24.42/6.38 | (566) op(e1, e4) = e4
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (129), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (413) all_0_12_12 = e3
% 24.42/6.38 |
% 24.42/6.38 | Combining equations (413,360) yields a new equation:
% 24.42/6.38 | (373) e4 = e3
% 24.42/6.38 |
% 24.42/6.38 | Equations (373) can reduce 23 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.38 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (871), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (868) all_0_13_13 = e3
% 24.42/6.38 |
% 24.42/6.38 | Equations (868) can reduce 227 to:
% 24.42/6.38 | (183) ~ (e3 = e2)
% 24.42/6.38 |
% 24.42/6.38 | Equations (868) can reduce 458 to:
% 24.42/6.38 | (111) ~ (e3 = e1)
% 24.42/6.38 |
% 24.42/6.38 | Equations (868) can reduce 21 to:
% 24.42/6.38 | (54) ~ (e3 = e0)
% 24.42/6.38 |
% 24.42/6.38 | From (868) and (51) follows:
% 24.42/6.38 | (567) op(e1, e3) = e3
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (37), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (538) all_0_0_0 = e1
% 24.42/6.38 |
% 24.42/6.38 | Combining equations (538,788) yields a new equation:
% 24.42/6.38 | (420) e3 = e1
% 24.42/6.38 |
% 24.42/6.38 | Equations (420) can reduce 111 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (595) ~ (all_0_0_0 = e1)
% 24.42/6.38 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 24.42/6.38 |
% 24.42/6.38 | Equations (788) can reduce 595 to:
% 24.42/6.38 | (111) ~ (e3 = e1)
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (209), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (641) all_0_4_4 = e3
% 24.42/6.38 |
% 24.42/6.38 | Equations (641) can reduce 291 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (291) ~ (all_0_4_4 = e3)
% 24.42/6.38 | (3359) all_0_7_7 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3
% 24.42/6.38 |
% 24.42/6.38 +-Applying beta-rule and splitting (3359), into two cases.
% 24.42/6.38 |-Branch one:
% 24.42/6.38 | (290) all_0_7_7 = e3
% 24.42/6.38 |
% 24.42/6.38 | Combining equations (290,3098) yields a new equation:
% 24.42/6.38 | (281) e3 = e0
% 24.42/6.38 |
% 24.42/6.38 | Simplifying 281 yields:
% 24.42/6.38 | (282) e3 = e0
% 24.42/6.38 |
% 24.42/6.38 | Equations (282) can reduce 54 to:
% 24.42/6.38 | (243) $false
% 24.42/6.38 |
% 24.42/6.38 |-The branch is then unsatisfiable
% 24.42/6.38 |-Branch two:
% 24.42/6.38 | (468) ~ (all_0_7_7 = e3)
% 24.42/6.38 | (3883) all_0_15_15 = e3 | all_0_20_20 = e3
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (3883), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (1216) all_0_15_15 = e3
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (1216,482) yields a new equation:
% 24.42/6.39 | (419) e3 = e1
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 419 yields:
% 24.42/6.39 | (420) e3 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (420) can reduce 111 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (295) ~ (all_0_15_15 = e3)
% 24.42/6.39 | (1495) all_0_20_20 = e3
% 24.42/6.39 |
% 24.42/6.39 | Equations (1495) can reduce 26 to:
% 24.42/6.39 | (291) ~ (all_0_4_4 = e3)
% 24.42/6.39 |
% 24.42/6.39 | Equations (1495) can reduce 158 to:
% 24.42/6.39 | (2877) ~ (all_0_19_19 = e3)
% 24.42/6.39 |
% 24.42/6.39 | Equations (1495) can reduce 349 to:
% 24.42/6.39 | (54) ~ (e3 = e0)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (138), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (535) all_0_4_4 = e2
% 24.42/6.39 |
% 24.42/6.39 | Equations (535) can reduce 291 to:
% 24.42/6.39 | (232) ~ (e3 = e2)
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 232 yields:
% 24.42/6.39 | (183) ~ (e3 = e2)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (492), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (2539) ~ (all_0_18_18 = e0)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (167), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (1902) all_0_16_16 = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (1902) can reduce 276 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (276) ~ (all_0_16_16 = e0)
% 24.42/6.39 | (2522) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (2522), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (330) all_0_17_17 = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (330) can reduce 56 to:
% 24.42/6.39 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.39 |
% 24.42/6.39 | Equations (330) can reduce 162 to:
% 24.42/6.39 | (12900) ~ (all_0_18_18 = e0)
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 12900 yields:
% 24.42/6.39 | (2539) ~ (all_0_18_18 = e0)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (41), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (236) all_0_2_2 = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (236) can reduce 192 to:
% 24.42/6.39 | (237) ~ (all_0_1_1 = e0)
% 24.42/6.39 |
% 24.42/6.39 | Equations (236) can reduce 20 to:
% 24.42/6.39 | (12900) ~ (all_0_18_18 = e0)
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 12900 yields:
% 24.42/6.39 | (2539) ~ (all_0_18_18 = e0)
% 24.42/6.39 |
% 24.42/6.39 | Equations (236) can reduce 84 to:
% 24.42/6.39 | (578) ~ (e1 = e0)
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 578 yields:
% 24.42/6.39 | (109) ~ (e1 = e0)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (106), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (242) all_0_18_18 = e2
% 24.42/6.39 |
% 24.42/6.39 | Equations (242) can reduce 231 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (231) ~ (all_0_18_18 = e2)
% 24.42/6.39 | (245) all_0_18_18 = e4 | all_0_18_18 = e0
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (600), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (611) all_0_8_8 = e1
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (318,611) yields a new equation:
% 24.42/6.39 | (561) e1 = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (561) can reduce 109 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (614) ~ (all_0_8_8 = e1)
% 24.42/6.39 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (615), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (418) all_0_12_12 = e1
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (418,360) yields a new equation:
% 24.42/6.39 | (494) e4 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (494) can reduce 207 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.39 | (621) all_0_16_16 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (621) can reduce 79 to:
% 24.42/6.39 | (381) ~ (all_0_19_19 = e1)
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 381 yields:
% 24.42/6.39 | (382) ~ (all_0_19_19 = e1)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (245), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (257) all_0_18_18 = e4
% 24.42/6.39 |
% 24.42/6.39 | Equations (257) can reduce 122 to:
% 24.42/6.39 | (260) ~ (all_0_19_19 = e4)
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 260 yields:
% 24.42/6.39 | (261) ~ (all_0_19_19 = e4)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (65), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (1262) all_0_19_19 = e2
% 24.42/6.39 |
% 24.42/6.39 | Equations (1262) can reduce 206 to:
% 24.42/6.39 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.39 |
% 24.42/6.39 | From (1262) and (168) follows:
% 24.42/6.39 | (12929) op(e0, e1) = e2
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (108), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (303) all_0_10_10 = e2
% 24.42/6.39 |
% 24.42/6.39 | Equations (303) can reduce 218 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.39 | (306) all_0_10_10 = e4 | all_0_10_10 = e1
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (306), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (377) all_0_10_10 = e4
% 24.42/6.39 |
% 24.42/6.39 | Equations (377) can reduce 355 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (355) ~ (all_0_10_10 = e4)
% 24.42/6.39 | (380) all_0_10_10 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (380) can reduce 60 to:
% 24.42/6.39 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.39 |
% 24.42/6.39 | Equations (380) can reduce 141 to:
% 24.42/6.39 | (528) ~ (e3 = e1)
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 528 yields:
% 24.42/6.39 | (111) ~ (e3 = e1)
% 24.42/6.39 |
% 24.42/6.39 | Equations (380) can reduce 144 to:
% 24.42/6.39 | (109) ~ (e1 = e0)
% 24.42/6.39 |
% 24.42/6.39 | From (380) and (128) follows:
% 24.42/6.39 | (385) op(e2, e1) = e1
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (9), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (605) all_0_1_1 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (605) can reduce 110 to:
% 24.42/6.39 | (12944) ~ (all_0_9_9 = e1)
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 12944 yields:
% 24.42/6.39 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.39 |
% 24.42/6.39 | Equations (605) can reduce 237 to:
% 24.42/6.39 | (109) ~ (e1 = e0)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (202), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (307) all_0_9_9 = e2
% 24.42/6.39 |
% 24.42/6.39 | Equations (307) can reduce 460 to:
% 24.42/6.39 | (114) ~ (e2 = e1)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (46), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (548) unit = e2
% 24.42/6.39 |
% 24.42/6.39 | From (548) and (102) follows:
% 24.42/6.39 | (3465) op(e3, e2) = e3
% 24.42/6.39 |
% 24.42/6.39 | From (548) and (139) follows:
% 24.42/6.39 | (2817) op(e2, e2) = e2
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 24.42/6.39 | (420) e3 = e1
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 24.42/6.39 | (287) e3 = e2
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (287,420) yields a new equation:
% 24.42/6.39 | (559) e2 = e1
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 559 yields:
% 24.42/6.39 | (560) e2 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (560) can reduce 114 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (547) ~ (unit = e2)
% 24.42/6.39 | (551) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (551), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (552) unit = e4
% 24.42/6.39 |
% 24.42/6.39 | From (552) and (95) follows:
% 24.42/6.39 | (1036) op(e4, e4) = e4
% 24.42/6.39 |
% 24.42/6.39 | From (552) and (102) follows:
% 24.42/6.39 | (2831) op(e3, e4) = e3
% 24.42/6.39 |
% 24.42/6.39 | From (552) and (139) follows:
% 24.42/6.39 | (554) op(e2, e4) = e2
% 24.42/6.39 |
% 24.42/6.39 | From (552) and (172) follows:
% 24.42/6.39 | (2832) op(e1, e4) = e1
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e4, e4, e4, e3 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e3, yields:
% 24.42/6.39 | (373) e4 = e3
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e3, e4, e3, e2 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e2, yields:
% 24.42/6.39 | (287) e3 = e2
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields:
% 24.42/6.39 | (327) e2 = e0
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 24.42/6.39 | (494) e4 = e1
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (494,373) yields a new equation:
% 24.42/6.39 | (420) e3 = e1
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (287,420) yields a new equation:
% 24.42/6.39 | (559) e2 = e1
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 559 yields:
% 24.42/6.39 | (560) e2 = e1
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (560,327) yields a new equation:
% 24.42/6.39 | (587) e1 = e0
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 587 yields:
% 24.42/6.39 | (561) e1 = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (561) can reduce 109 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (438) ~ (unit = e4)
% 24.42/6.39 | (564) unit = e3 | unit = e1 | unit = e0
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (564), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (565) unit = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (565) can reduce 489 to:
% 24.42/6.39 | (109) ~ (e1 = e0)
% 24.42/6.39 |
% 24.42/6.39 | From (565) and (139) follows:
% 24.42/6.39 | (1054) op(e2, e1) = e2
% 24.42/6.39 |
% 24.42/6.39 | From (565) and (175) follows:
% 24.42/6.39 | (1055) op(e0, e1) = e0
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 24.42/6.39 | (560) e2 = e1
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 24.42/6.39 | (327) e2 = e0
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (560,327) yields a new equation:
% 24.42/6.39 | (587) e1 = e0
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 587 yields:
% 24.42/6.39 | (561) e1 = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (561) can reduce 109 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (463) ~ (unit = e1)
% 24.42/6.39 | (576) unit = e3 | unit = e0
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (576), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (577) unit = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (577) can reduce 489 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (489) ~ (unit = e0)
% 24.42/6.39 | (591) unit = e3
% 24.42/6.39 |
% 24.42/6.39 | From (591) and (169) follows:
% 24.42/6.39 | (1079) op(e3, e4) = e4
% 24.42/6.39 |
% 24.42/6.39 | From (591) and (102) follows:
% 24.42/6.39 | (1080) op(e3, e3) = e3
% 24.42/6.39 |
% 24.42/6.39 | From (591) and (172) follows:
% 24.42/6.39 | (432) op(e1, e3) = e1
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e3, e4, e4, e2 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e2, yields:
% 24.42/6.39 | (254) e4 = e2
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e3, e3, e3, e4 and discharging atoms op(e3, e3) = e4, op(e3, e3) = e3, yields:
% 24.42/6.39 | (373) e4 = e3
% 24.42/6.39 |
% 24.42/6.39 | Instantiating formula (105) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 24.42/6.39 | (420) e3 = e1
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (373,254) yields a new equation:
% 24.42/6.39 | (400) e3 = e2
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 400 yields:
% 24.42/6.39 | (287) e3 = e2
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (287,420) yields a new equation:
% 24.42/6.39 | (559) e2 = e1
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 559 yields:
% 24.42/6.39 | (560) e2 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (560) can reduce 114 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (2398) ~ (all_0_9_9 = e2)
% 24.42/6.39 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (2399), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (1290) all_0_9_9 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (1290) can reduce 460 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.39 | (326) all_0_9_9 = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (326) can reduce 329 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (608) ~ (all_0_1_1 = e1)
% 24.42/6.39 | (1277) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (202), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (307) all_0_9_9 = e2
% 24.42/6.39 |
% 24.42/6.39 | Equations (307) can reduce 460 to:
% 24.42/6.39 | (114) ~ (e2 = e1)
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (1277), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (1290) all_0_9_9 = e1
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (1290,307) yields a new equation:
% 24.42/6.39 | (560) e2 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (560) can reduce 114 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.39 | (1295) all_0_13_13 = e1 | all_0_17_17 = e1
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (1295), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (429) all_0_13_13 = e1
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (868,429) yields a new equation:
% 24.42/6.39 | (419) e3 = e1
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 419 yields:
% 24.42/6.39 | (420) e3 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (420) can reduce 111 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.39 | (1012) all_0_17_17 = e1
% 24.42/6.39 |
% 24.42/6.39 | Combining equations (1012,330) yields a new equation:
% 24.42/6.39 | (587) e1 = e0
% 24.42/6.39 |
% 24.42/6.39 | Simplifying 587 yields:
% 24.42/6.39 | (561) e1 = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (561) can reduce 109 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (2398) ~ (all_0_9_9 = e2)
% 24.42/6.39 | (2399) all_0_9_9 = e1 | all_0_9_9 = e0
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (2399), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (1290) all_0_9_9 = e1
% 24.42/6.39 |
% 24.42/6.39 | Equations (1290) can reduce 460 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.39 | (326) all_0_9_9 = e0
% 24.42/6.39 |
% 24.42/6.39 | Equations (326) can reduce 329 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (220) ~ (all_0_19_19 = e2)
% 24.42/6.39 | (1265) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 24.42/6.39 |
% 24.42/6.39 +-Applying beta-rule and splitting (1265), into two cases.
% 24.42/6.39 |-Branch one:
% 24.42/6.39 | (1225) all_0_19_19 = e4
% 24.42/6.39 |
% 24.42/6.39 | Equations (1225) can reduce 261 to:
% 24.42/6.39 | (243) $false
% 24.42/6.39 |
% 24.42/6.39 |-The branch is then unsatisfiable
% 24.42/6.39 |-Branch two:
% 24.42/6.39 | (261) ~ (all_0_19_19 = e4)
% 24.42/6.40 | (1269) all_0_19_19 = e3 | all_0_19_19 = e1
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (1269), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (1017) all_0_19_19 = e1
% 24.42/6.40 |
% 24.42/6.40 | Equations (1017) can reduce 382 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (382) ~ (all_0_19_19 = e1)
% 24.42/6.40 | (404) all_0_19_19 = e3
% 24.42/6.40 |
% 24.42/6.40 | Equations (404) can reduce 2877 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (3165) ~ (all_0_18_18 = e4)
% 24.42/6.40 | (832) all_0_18_18 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (832) can reduce 2539 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (4061) ~ (all_0_2_2 = e0)
% 24.42/6.40 | (832) all_0_18_18 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (832) can reduce 2539 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (2482) ~ (all_0_17_17 = e0)
% 24.42/6.40 | (2530) all_0_18_18 = e0 | all_0_20_20 = e0
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (2530), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (832) all_0_18_18 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (832) can reduce 2539 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (2539) ~ (all_0_18_18 = e0)
% 24.42/6.40 | (1492) all_0_20_20 = e0
% 24.42/6.40 |
% 24.42/6.40 | Combining equations (1495,1492) yields a new equation:
% 24.42/6.40 | (281) e3 = e0
% 24.42/6.40 |
% 24.42/6.40 | Simplifying 281 yields:
% 24.42/6.40 | (282) e3 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (282) can reduce 54 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (832) all_0_18_18 = e0
% 24.42/6.40 | (784) all_0_20_20 = e2
% 24.42/6.40 |
% 24.42/6.40 | Combining equations (784,1495) yields a new equation:
% 24.42/6.40 | (287) e3 = e2
% 24.42/6.40 |
% 24.42/6.40 | Equations (287) can reduce 183 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (625) ~ (all_0_4_4 = e2)
% 24.42/6.40 | (740) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (488), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (4061) ~ (all_0_2_2 = e0)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (492), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (2539) ~ (all_0_18_18 = e0)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (106), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (242) all_0_18_18 = e2
% 24.42/6.40 |
% 24.42/6.40 | Equations (242) can reduce 231 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (231) ~ (all_0_18_18 = e2)
% 24.42/6.40 | (245) all_0_18_18 = e4 | all_0_18_18 = e0
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (245), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (257) all_0_18_18 = e4
% 24.42/6.40 |
% 24.42/6.40 | Equations (257) can reduce 2539 to:
% 24.42/6.40 | (4) ~ (e4 = e0)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (41), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (236) all_0_2_2 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (236) can reduce 4061 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (4061) ~ (all_0_2_2 = e0)
% 24.42/6.40 | (832) all_0_18_18 = e0
% 24.42/6.40 |
% 24.42/6.40 | Combining equations (832,257) yields a new equation:
% 24.42/6.40 | (248) e4 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (248) can reduce 4 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (3165) ~ (all_0_18_18 = e4)
% 24.42/6.40 | (832) all_0_18_18 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (832) can reduce 2539 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (832) all_0_18_18 = e0
% 24.42/6.40 | (784) all_0_20_20 = e2
% 24.42/6.40 |
% 24.42/6.40 | Combining equations (784,1495) yields a new equation:
% 24.42/6.40 | (287) e3 = e2
% 24.42/6.40 |
% 24.42/6.40 | Equations (287) can reduce 183 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (236) all_0_2_2 = e0
% 24.42/6.40 | (535) all_0_4_4 = e2
% 24.42/6.40 |
% 24.42/6.40 | Equations (535) can reduce 625 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (416) ~ (all_0_13_13 = e3)
% 24.42/6.40 | (1216) all_0_15_15 = e3
% 24.42/6.40 |
% 24.42/6.40 | Combining equations (1216,482) yields a new equation:
% 24.42/6.40 | (419) e3 = e1
% 24.42/6.40 |
% 24.42/6.40 | Simplifying 419 yields:
% 24.42/6.40 | (420) e3 = e1
% 24.42/6.40 |
% 24.42/6.40 | Equations (420) can reduce 111 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (357) ~ (all_0_12_12 = e4)
% 24.42/6.40 | (363) all_0_14_14 = e4 | all_0_15_15 = e4
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (129), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (413) all_0_12_12 = e3
% 24.42/6.40 |
% 24.42/6.40 | Equations (413) can reduce 472 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.40 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (37), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (538) all_0_0_0 = e1
% 24.42/6.40 |
% 24.42/6.40 | Combining equations (538,788) yields a new equation:
% 24.42/6.40 | (420) e3 = e1
% 24.42/6.40 |
% 24.42/6.40 | Equations (420) can reduce 111 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (595) ~ (all_0_0_0 = e1)
% 24.42/6.40 | (600) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (600), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (611) all_0_8_8 = e1
% 24.42/6.40 |
% 24.42/6.40 | Combining equations (318,611) yields a new equation:
% 24.42/6.40 | (561) e1 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (561) can reduce 109 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (614) ~ (all_0_8_8 = e1)
% 24.42/6.40 | (615) all_0_12_12 = e1 | all_0_16_16 = e1
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (615), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (418) all_0_12_12 = e1
% 24.42/6.40 |
% 24.42/6.40 | Equations (418) can reduce 422 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.40 | (621) all_0_16_16 = e1
% 24.42/6.40 |
% 24.42/6.40 | Equations (621) can reduce 189 to:
% 24.42/6.40 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.40 |
% 24.42/6.40 | Equations (621) can reduce 405 to:
% 24.42/6.40 | (528) ~ (e3 = e1)
% 24.42/6.40 |
% 24.42/6.40 | Simplifying 528 yields:
% 24.42/6.40 | (111) ~ (e3 = e1)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (871), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (868) all_0_13_13 = e3
% 24.42/6.40 |
% 24.42/6.40 | Equations (868) can reduce 88 to:
% 24.42/6.40 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (186), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (732) all_0_12_12 = e2
% 24.42/6.40 |
% 24.42/6.40 | Equations (732) can reduce 226 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (226) ~ (all_0_12_12 = e2)
% 24.42/6.40 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (875), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (360) all_0_12_12 = e4
% 24.42/6.40 |
% 24.42/6.40 | Equations (360) can reduce 357 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (357) ~ (all_0_12_12 = e4)
% 24.42/6.40 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (899), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (418) all_0_12_12 = e1
% 24.42/6.40 |
% 24.42/6.40 | Equations (418) can reduce 422 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.40 | (413) all_0_12_12 = e3
% 24.42/6.40 |
% 24.42/6.40 | Equations (413) can reduce 472 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (416) ~ (all_0_13_13 = e3)
% 24.42/6.40 | (1216) all_0_15_15 = e3
% 24.42/6.40 |
% 24.42/6.40 | Combining equations (482,1216) yields a new equation:
% 24.42/6.40 | (420) e3 = e1
% 24.42/6.40 |
% 24.42/6.40 | Equations (420) can reduce 111 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.40 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (791), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 24.42/6.40 |
% 24.42/6.40 | Applying alpha-rule on (796) yields:
% 24.42/6.40 | (797) all_0_0_0 = e0
% 24.42/6.40 | (792) all_0_20_20 = e4
% 24.42/6.40 | (392) ~ (all_0_4_4 = e4)
% 24.42/6.40 |
% 24.42/6.40 | Equations (792) can reduce 263 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 24.42/6.40 |
% 24.42/6.40 | Applying alpha-rule on (801) yields:
% 24.42/6.40 | (797) all_0_0_0 = e0
% 24.42/6.40 | (792) all_0_20_20 = e4
% 24.42/6.40 | (276) ~ (all_0_16_16 = e0)
% 24.42/6.40 |
% 24.42/6.40 | Equations (792) can reduce 263 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (272) ~ (all_0_8_8 = e0)
% 24.42/6.40 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (321), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (326) all_0_9_9 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (326) can reduce 329 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.40 | (343) all_0_11_11 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (343) can reduce 2480 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.42/6.40 |
% 24.42/6.40 | Applying alpha-rule on (496) yields:
% 24.42/6.40 | (308) ~ (all_0_1_1 = e2)
% 24.42/6.40 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.42/6.40 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.42/6.40 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.40 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.42/6.40 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.42/6.40 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.42/6.40 | (213) ~ (all_0_3_3 = e2)
% 24.42/6.40 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.42/6.40 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.42/6.40 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.42/6.40 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.42/6.40 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.42/6.40 | (309) ~ (all_0_8_8 = e2)
% 24.42/6.40 | (220) ~ (all_0_19_19 = e2)
% 24.42/6.40 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.40 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.40 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.40 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.40 | (229) ~ (all_0_15_15 = e2)
% 24.42/6.40 | (313) ~ (all_0_11_11 = e2)
% 24.42/6.40 |
% 24.42/6.40 | Equations (722) can reduce 214 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (270) ~ (all_0_7_7 = e0)
% 24.42/6.40 | (290) all_0_7_7 = e3
% 24.42/6.40 |
% 24.42/6.40 | Equations (290) can reduce 468 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.40 | (13183) all_0_6_6 = e2 | all_0_7_7 = e2
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (4097), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (3098) all_0_7_7 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (3098) can reduce 152 to:
% 24.42/6.40 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (182), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (722) all_0_5_5 = e2
% 24.42/6.40 |
% 24.42/6.40 | Equations (722) can reduce 214 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.40 | (5877) all_0_5_5 = e3 | all_0_5_5 = e0
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (5877), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (267) all_0_5_5 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (267) can reduce 491 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.40 | (280) all_0_5_5 = e3
% 24.42/6.40 |
% 24.42/6.40 | Equations (280) can reduce 284 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (270) ~ (all_0_7_7 = e0)
% 24.42/6.40 | (290) all_0_7_7 = e3
% 24.42/6.40 |
% 24.42/6.40 | Equations (290) can reduce 468 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (7736) ~ (all_0_14_14 = e2)
% 24.42/6.40 | (252) all_0_14_14 = e4
% 24.42/6.40 |
% 24.42/6.40 | Equations (252) can reduce 195 to:
% 24.42/6.40 | (357) ~ (all_0_12_12 = e4)
% 24.42/6.40 |
% 24.42/6.40 | Equations (252) can reduce 7736 to:
% 24.42/6.40 | (194) ~ (e4 = e2)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (106), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (242) all_0_18_18 = e2
% 24.42/6.40 |
% 24.42/6.40 | Equations (242) can reduce 20 to:
% 24.42/6.40 | (225) ~ (all_0_2_2 = e2)
% 24.42/6.40 |
% 24.42/6.40 | Equations (242) can reduce 119 to:
% 24.42/6.40 | (232) ~ (e3 = e2)
% 24.42/6.40 |
% 24.42/6.40 | Simplifying 232 yields:
% 24.42/6.40 | (183) ~ (e3 = e2)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (166), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (750) all_0_2_2 = e2
% 24.42/6.40 |
% 24.42/6.40 | Equations (750) can reduce 225 to:
% 24.42/6.40 | (243) $false
% 24.42/6.40 |
% 24.42/6.40 |-The branch is then unsatisfiable
% 24.42/6.40 |-Branch two:
% 24.42/6.40 | (225) ~ (all_0_2_2 = e2)
% 24.42/6.40 | (4073) all_0_2_2 = e4 | all_0_2_2 = e0
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (41), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (236) all_0_2_2 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (236) can reduce 173 to:
% 24.42/6.40 | (268) ~ (all_0_0_0 = e0)
% 24.42/6.40 |
% 24.42/6.40 | Equations (236) can reduce 225 to:
% 24.42/6.40 | (277) ~ (e2 = e0)
% 24.42/6.40 |
% 24.42/6.40 | Simplifying 277 yields:
% 24.42/6.40 | (39) ~ (e2 = e0)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (116), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (812) all_0_7_7 = e2
% 24.42/6.40 |
% 24.42/6.40 | Equations (812) can reduce 468 to:
% 24.42/6.40 | (232) ~ (e3 = e2)
% 24.42/6.40 |
% 24.42/6.40 | Simplifying 232 yields:
% 24.42/6.40 | (183) ~ (e3 = e2)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (130), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (267) all_0_5_5 = e0
% 24.42/6.40 |
% 24.42/6.40 | Equations (267) can reduce 284 to:
% 24.42/6.40 | (240) ~ (e3 = e0)
% 24.42/6.40 |
% 24.42/6.40 | Simplifying 240 yields:
% 24.42/6.40 | (54) ~ (e3 = e0)
% 24.42/6.40 |
% 24.42/6.40 +-Applying beta-rule and splitting (72), into two cases.
% 24.42/6.40 |-Branch one:
% 24.42/6.40 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (433), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (434), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (435), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (436) yields:
% 24.42/6.41 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.42/6.41 | (438) ~ (unit = e4)
% 24.42/6.41 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.42/6.41 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.42/6.41 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.42/6.41 | (442) ~ (all_0_15_15 = e4)
% 24.42/6.41 | (280) all_0_5_5 = e3
% 24.42/6.41 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.42/6.41 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.42/6.41 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.42/6.41 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.42/6.41 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.42/6.41 |
% 24.42/6.41 | Combining equations (280,267) yields a new equation:
% 24.42/6.41 | (281) e3 = e0
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 281 yields:
% 24.42/6.41 | (282) e3 = e0
% 24.42/6.41 |
% 24.42/6.41 | Equations (282) can reduce 54 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (452) yields:
% 24.42/6.41 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.42/6.41 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.42/6.41 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.41 | (212) all_0_6_6 = e2
% 24.42/6.41 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.42/6.41 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.41 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.42/6.41 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.41 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.41 | (462) ~ (all_0_11_11 = e1)
% 24.42/6.41 | (463) ~ (unit = e1)
% 24.42/6.41 | (464) ~ (all_0_4_4 = e1)
% 24.42/6.41 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.42/6.41 |
% 24.42/6.41 | Combining equations (286,212) yields a new equation:
% 24.42/6.41 | (400) e3 = e2
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 400 yields:
% 24.42/6.41 | (287) e3 = e2
% 24.42/6.41 |
% 24.42/6.41 | Equations (287) can reduce 183 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (467) yields:
% 24.42/6.41 | (468) ~ (all_0_7_7 = e3)
% 24.42/6.41 | (405) ~ (all_0_16_16 = e3)
% 24.42/6.41 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.42/6.41 | (295) ~ (all_0_15_15 = e3)
% 24.42/6.41 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.41 | (289) ~ (all_0_6_6 = e3)
% 24.42/6.41 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.42/6.41 | (475) ~ (unit = e3)
% 24.42/6.41 | (307) all_0_9_9 = e2
% 24.42/6.41 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.42/6.41 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.42/6.41 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.41 |
% 24.42/6.41 | Equations (286) can reduce 289 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (481) yields:
% 24.42/6.41 | (482) all_0_15_15 = e1
% 24.42/6.41 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.42/6.41 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.42/6.41 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.41 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.42/6.41 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.42/6.41 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.42/6.41 | (489) ~ (unit = e0)
% 24.42/6.41 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.42/6.41 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.41 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.42/6.41 |
% 24.42/6.41 | Equations (267) can reduce 491 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (496) yields:
% 24.42/6.41 | (308) ~ (all_0_1_1 = e2)
% 24.42/6.41 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.42/6.41 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.42/6.41 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.41 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.42/6.41 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.42/6.41 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.42/6.41 | (213) ~ (all_0_3_3 = e2)
% 24.42/6.41 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.42/6.41 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.42/6.41 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.42/6.41 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.42/6.41 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.42/6.41 | (309) ~ (all_0_8_8 = e2)
% 24.42/6.41 | (220) ~ (all_0_19_19 = e2)
% 24.42/6.41 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.41 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.41 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.41 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.41 | (229) ~ (all_0_15_15 = e2)
% 24.42/6.41 | (313) ~ (all_0_11_11 = e2)
% 24.42/6.41 |
% 24.42/6.41 | Equations (812) can reduce 216 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.41 | (3098) all_0_7_7 = e0
% 24.42/6.41 |
% 24.42/6.41 | Combining equations (812,3098) yields a new equation:
% 24.42/6.41 | (339) e2 = e0
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 339 yields:
% 24.42/6.41 | (327) e2 = e0
% 24.42/6.41 |
% 24.42/6.41 | Equations (327) can reduce 39 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.41 | (4097) all_0_7_7 = e3 | all_0_7_7 = e0
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (205), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (722) all_0_5_5 = e2
% 24.42/6.41 |
% 24.42/6.41 | Equations (722) can reduce 92 to:
% 24.42/6.41 | (6357) ~ (all_0_12_12 = e2)
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 6357 yields:
% 24.42/6.41 | (226) ~ (all_0_12_12 = e2)
% 24.42/6.41 |
% 24.42/6.41 | Equations (722) can reduce 284 to:
% 24.42/6.41 | (232) ~ (e3 = e2)
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 232 yields:
% 24.42/6.41 | (183) ~ (e3 = e2)
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (72), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (433), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (434), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (435), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (436) yields:
% 24.42/6.41 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.42/6.41 | (438) ~ (unit = e4)
% 24.42/6.41 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.42/6.41 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.42/6.41 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.42/6.41 | (442) ~ (all_0_15_15 = e4)
% 24.42/6.41 | (280) all_0_5_5 = e3
% 24.42/6.41 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.42/6.41 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.42/6.41 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.42/6.41 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.42/6.41 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.42/6.41 |
% 24.42/6.41 | Combining equations (280,722) yields a new equation:
% 24.42/6.41 | (400) e3 = e2
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 400 yields:
% 24.42/6.41 | (287) e3 = e2
% 24.42/6.41 |
% 24.42/6.41 | Equations (287) can reduce 183 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (452) yields:
% 24.42/6.41 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.42/6.41 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.42/6.41 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.41 | (212) all_0_6_6 = e2
% 24.42/6.41 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.42/6.41 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.41 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.42/6.41 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.41 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.41 | (462) ~ (all_0_11_11 = e1)
% 24.42/6.41 | (463) ~ (unit = e1)
% 24.42/6.41 | (464) ~ (all_0_4_4 = e1)
% 24.42/6.41 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.42/6.41 |
% 24.42/6.41 | Combining equations (286,212) yields a new equation:
% 24.42/6.41 | (400) e3 = e2
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 400 yields:
% 24.42/6.41 | (287) e3 = e2
% 24.42/6.41 |
% 24.42/6.41 | Equations (287) can reduce 183 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (467) yields:
% 24.42/6.41 | (468) ~ (all_0_7_7 = e3)
% 24.42/6.41 | (405) ~ (all_0_16_16 = e3)
% 24.42/6.41 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.42/6.41 | (295) ~ (all_0_15_15 = e3)
% 24.42/6.41 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.41 | (289) ~ (all_0_6_6 = e3)
% 24.42/6.41 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.42/6.41 | (475) ~ (unit = e3)
% 24.42/6.41 | (307) all_0_9_9 = e2
% 24.42/6.41 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.42/6.41 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.42/6.41 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.41 |
% 24.42/6.41 | Equations (286) can reduce 289 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (481) yields:
% 24.42/6.41 | (482) all_0_15_15 = e1
% 24.42/6.41 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.42/6.41 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.42/6.41 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.41 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.42/6.41 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.42/6.41 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.42/6.41 | (489) ~ (unit = e0)
% 24.42/6.41 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.42/6.41 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.41 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.42/6.41 |
% 24.42/6.41 | Equations (482) can reduce 36 to:
% 24.42/6.41 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.41 |
% 24.42/6.41 | Equations (482) can reduce 40 to:
% 24.42/6.41 | (2079) ~ (all_0_20_20 = e1)
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 2079 yields:
% 24.42/6.41 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (18), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (523) all_0_20_20 = e1
% 24.42/6.41 |
% 24.42/6.41 | Equations (523) can reduce 461 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.41 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (186), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (732) all_0_12_12 = e2
% 24.42/6.41 |
% 24.42/6.41 | Equations (732) can reduce 226 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (226) ~ (all_0_12_12 = e2)
% 24.42/6.41 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (780), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (788) all_0_0_0 = e3
% 24.42/6.41 |
% 24.42/6.41 | Equations (788) can reduce 80 to:
% 24.42/6.41 | (3108) ~ (all_0_12_12 = e3)
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 3108 yields:
% 24.42/6.41 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (875), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (360) all_0_12_12 = e4
% 24.42/6.41 |
% 24.42/6.41 | Equations (360) can reduce 357 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (357) ~ (all_0_12_12 = e4)
% 24.42/6.41 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (129), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (413) all_0_12_12 = e3
% 24.42/6.41 |
% 24.42/6.41 | Equations (413) can reduce 472 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.41 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (871), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (868) all_0_13_13 = e3
% 24.42/6.41 |
% 24.42/6.41 | Equations (868) can reduce 88 to:
% 24.42/6.41 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (899), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (418) all_0_12_12 = e1
% 24.42/6.41 |
% 24.42/6.41 | Equations (418) can reduce 422 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.41 | (413) all_0_12_12 = e3
% 24.42/6.41 |
% 24.42/6.41 | Equations (413) can reduce 472 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (416) ~ (all_0_13_13 = e3)
% 24.42/6.41 | (1216) all_0_15_15 = e3
% 24.42/6.41 |
% 24.42/6.41 | Combining equations (1216,482) yields a new equation:
% 24.42/6.41 | (419) e3 = e1
% 24.42/6.41 |
% 24.42/6.41 | Simplifying 419 yields:
% 24.42/6.41 | (420) e3 = e1
% 24.42/6.41 |
% 24.42/6.41 | Equations (420) can reduce 111 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.41 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.42/6.41 |
% 24.42/6.41 +-Applying beta-rule and splitting (791), into two cases.
% 24.42/6.41 |-Branch one:
% 24.42/6.41 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (796) yields:
% 24.42/6.41 | (797) all_0_0_0 = e0
% 24.42/6.41 | (792) all_0_20_20 = e4
% 24.42/6.41 | (392) ~ (all_0_4_4 = e4)
% 24.42/6.41 |
% 24.42/6.41 | Equations (797) can reduce 268 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (801) yields:
% 24.42/6.41 | (797) all_0_0_0 = e0
% 24.42/6.41 | (792) all_0_20_20 = e4
% 24.42/6.41 | (276) ~ (all_0_16_16 = e0)
% 24.42/6.41 |
% 24.42/6.41 | Equations (797) can reduce 268 to:
% 24.42/6.41 | (243) $false
% 24.42/6.41 |
% 24.42/6.41 |-The branch is then unsatisfiable
% 24.42/6.41 |-Branch two:
% 24.42/6.41 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.42/6.41 |
% 24.42/6.41 | Applying alpha-rule on (496) yields:
% 24.42/6.41 | (308) ~ (all_0_1_1 = e2)
% 24.42/6.41 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.42/6.41 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.42/6.41 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.41 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.42/6.41 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.42/6.41 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.42/6.41 | (213) ~ (all_0_3_3 = e2)
% 24.42/6.41 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.42/6.41 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.42/6.41 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.42/6.41 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.42/6.41 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.42/6.41 | (309) ~ (all_0_8_8 = e2)
% 24.42/6.41 | (220) ~ (all_0_19_19 = e2)
% 24.42/6.42 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.42 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.42 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.42 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.42 | (229) ~ (all_0_15_15 = e2)
% 24.42/6.42 | (313) ~ (all_0_11_11 = e2)
% 24.42/6.42 |
% 24.42/6.42 | Equations (722) can reduce 214 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.42 | (13183) all_0_6_6 = e2 | all_0_7_7 = e2
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (13183), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (212) all_0_6_6 = e2
% 24.42/6.42 |
% 24.42/6.42 | Combining equations (286,212) yields a new equation:
% 24.42/6.42 | (400) e3 = e2
% 24.42/6.42 |
% 24.42/6.42 | Simplifying 400 yields:
% 24.42/6.42 | (287) e3 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (287) can reduce 183 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (12630) ~ (all_0_6_6 = e2)
% 24.42/6.42 | (812) all_0_7_7 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (812) can reduce 216 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (4061) ~ (all_0_2_2 = e0)
% 24.42/6.42 | (832) all_0_18_18 = e0
% 24.42/6.42 |
% 24.42/6.42 | Combining equations (832,242) yields a new equation:
% 24.42/6.42 | (327) e2 = e0
% 24.42/6.42 |
% 24.42/6.42 | Equations (327) can reduce 39 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (231) ~ (all_0_18_18 = e2)
% 24.42/6.42 | (245) all_0_18_18 = e4 | all_0_18_18 = e0
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (165), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (750) all_0_2_2 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (750) can reduce 20 to:
% 24.42/6.42 | (230) ~ (all_0_18_18 = e2)
% 24.42/6.42 |
% 24.42/6.42 | Simplifying 230 yields:
% 24.42/6.42 | (231) ~ (all_0_18_18 = e2)
% 24.42/6.42 |
% 24.42/6.42 | Equations (750) can reduce 157 to:
% 24.42/6.42 | (232) ~ (e3 = e2)
% 24.42/6.42 |
% 24.42/6.42 | Simplifying 232 yields:
% 24.42/6.42 | (183) ~ (e3 = e2)
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (41), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (236) all_0_2_2 = e0
% 24.42/6.42 |
% 24.42/6.42 | Combining equations (236,750) yields a new equation:
% 24.42/6.42 | (327) e2 = e0
% 24.42/6.42 |
% 24.42/6.42 | Equations (327) can reduce 39 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (4061) ~ (all_0_2_2 = e0)
% 24.42/6.42 | (832) all_0_18_18 = e0
% 24.42/6.42 |
% 24.42/6.42 | Equations (832) can reduce 231 to:
% 24.42/6.42 | (277) ~ (e2 = e0)
% 24.42/6.42 |
% 24.42/6.42 | Simplifying 277 yields:
% 24.42/6.42 | (39) ~ (e2 = e0)
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (130), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (267) all_0_5_5 = e0
% 24.42/6.42 |
% 24.42/6.42 | Equations (267) can reduce 284 to:
% 24.42/6.42 | (240) ~ (e3 = e0)
% 24.42/6.42 |
% 24.42/6.42 | Simplifying 240 yields:
% 24.42/6.42 | (54) ~ (e3 = e0)
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (72), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (433), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (434), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (435), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.42/6.42 |
% 24.42/6.42 | Applying alpha-rule on (436) yields:
% 24.42/6.42 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.42/6.42 | (438) ~ (unit = e4)
% 24.42/6.42 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.42/6.42 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.42/6.42 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.42/6.42 | (442) ~ (all_0_15_15 = e4)
% 24.42/6.42 | (280) all_0_5_5 = e3
% 24.42/6.42 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.42/6.42 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.42/6.42 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.42/6.42 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.42/6.42 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.42/6.42 |
% 24.42/6.42 | Combining equations (280,267) yields a new equation:
% 24.42/6.42 | (281) e3 = e0
% 24.42/6.42 |
% 24.42/6.42 | Simplifying 281 yields:
% 24.42/6.42 | (282) e3 = e0
% 24.42/6.42 |
% 24.42/6.42 | Equations (282) can reduce 54 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.42/6.42 |
% 24.42/6.42 | Applying alpha-rule on (452) yields:
% 24.42/6.42 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.42/6.42 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.42/6.42 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.42 | (212) all_0_6_6 = e2
% 24.42/6.42 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.42/6.42 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.42 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.42/6.42 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.42 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.42 | (462) ~ (all_0_11_11 = e1)
% 24.42/6.42 | (463) ~ (unit = e1)
% 24.42/6.42 | (464) ~ (all_0_4_4 = e1)
% 24.42/6.42 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.42/6.42 |
% 24.42/6.42 | Combining equations (286,212) yields a new equation:
% 24.42/6.42 | (400) e3 = e2
% 24.42/6.42 |
% 24.42/6.42 | Simplifying 400 yields:
% 24.42/6.42 | (287) e3 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (287) can reduce 183 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.42/6.42 |
% 24.42/6.42 | Applying alpha-rule on (467) yields:
% 24.42/6.42 | (468) ~ (all_0_7_7 = e3)
% 24.42/6.42 | (405) ~ (all_0_16_16 = e3)
% 24.42/6.42 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.42/6.42 | (295) ~ (all_0_15_15 = e3)
% 24.42/6.42 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.42 | (289) ~ (all_0_6_6 = e3)
% 24.42/6.42 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.42/6.42 | (475) ~ (unit = e3)
% 24.42/6.42 | (307) all_0_9_9 = e2
% 24.42/6.42 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.42/6.42 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.42/6.42 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.42 |
% 24.42/6.42 | Equations (286) can reduce 289 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.42/6.42 |
% 24.42/6.42 | Applying alpha-rule on (481) yields:
% 24.42/6.42 | (482) all_0_15_15 = e1
% 24.42/6.42 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.42/6.42 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.42/6.42 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.42 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.42/6.42 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.42/6.42 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.42/6.42 | (489) ~ (unit = e0)
% 24.42/6.42 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.42/6.42 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.42 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (267) can reduce 491 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.42/6.42 |
% 24.42/6.42 | Applying alpha-rule on (496) yields:
% 24.42/6.42 | (308) ~ (all_0_1_1 = e2)
% 24.42/6.42 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.42/6.42 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.42/6.42 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.42 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.42/6.42 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.42/6.42 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.42/6.42 | (213) ~ (all_0_3_3 = e2)
% 24.42/6.42 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.42/6.42 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.42/6.42 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.42/6.42 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.42/6.42 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.42/6.42 | (309) ~ (all_0_8_8 = e2)
% 24.42/6.42 | (220) ~ (all_0_19_19 = e2)
% 24.42/6.42 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.42 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.42 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.42 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.42 | (229) ~ (all_0_15_15 = e2)
% 24.42/6.42 | (313) ~ (all_0_11_11 = e2)
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (50), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (755) all_0_3_3 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (755) can reduce 213 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (213) ~ (all_0_3_3 = e2)
% 24.42/6.42 | (13567) all_0_6_6 = e2 | all_0_10_10 = e2 | all_0_19_19 = e2
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (13567), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (212) all_0_6_6 = e2
% 24.42/6.42 |
% 24.42/6.42 | Combining equations (286,212) yields a new equation:
% 24.42/6.42 | (400) e3 = e2
% 24.42/6.42 |
% 24.42/6.42 | Simplifying 400 yields:
% 24.42/6.42 | (287) e3 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (287) can reduce 183 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (12630) ~ (all_0_6_6 = e2)
% 24.42/6.42 | (13573) all_0_10_10 = e2 | all_0_19_19 = e2
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (13573), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (303) all_0_10_10 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (303) can reduce 218 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.42 | (1262) all_0_19_19 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (1262) can reduce 220 to:
% 24.42/6.42 | (243) $false
% 24.42/6.42 |
% 24.42/6.42 |-The branch is then unsatisfiable
% 24.42/6.42 |-Branch two:
% 24.42/6.42 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.42 | (3098) all_0_7_7 = e0
% 24.42/6.42 |
% 24.42/6.42 | Equations (3098) can reduce 160 to:
% 24.42/6.42 | (344) ~ (all_0_4_4 = e0)
% 24.42/6.42 |
% 24.42/6.42 | Equations (3098) can reduce 131 to:
% 24.42/6.42 | (2479) ~ (all_0_11_11 = e0)
% 24.42/6.42 |
% 24.42/6.42 | Simplifying 2479 yields:
% 24.42/6.42 | (2480) ~ (all_0_11_11 = e0)
% 24.42/6.42 |
% 24.42/6.42 +-Applying beta-rule and splitting (205), into two cases.
% 24.42/6.42 |-Branch one:
% 24.42/6.42 | (722) all_0_5_5 = e2
% 24.42/6.42 |
% 24.42/6.42 | Equations (722) can reduce 125 to:
% 24.42/6.43 | (13585) ~ (all_0_8_8 = e2)
% 24.42/6.43 |
% 24.42/6.43 | Simplifying 13585 yields:
% 24.42/6.43 | (309) ~ (all_0_8_8 = e2)
% 24.42/6.43 |
% 24.42/6.43 | Equations (722) can reduce 92 to:
% 24.42/6.43 | (6357) ~ (all_0_12_12 = e2)
% 24.42/6.43 |
% 24.42/6.43 | Simplifying 6357 yields:
% 24.42/6.43 | (226) ~ (all_0_12_12 = e2)
% 24.42/6.43 |
% 24.42/6.43 | Equations (722) can reduce 284 to:
% 24.42/6.43 | (232) ~ (e3 = e2)
% 24.42/6.43 |
% 24.42/6.43 | Simplifying 232 yields:
% 24.42/6.43 | (183) ~ (e3 = e2)
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (72), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (433) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (433), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (434) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (434), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (435) (all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3))
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (435), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (436) all_0_5_5 = e3 & ~ (all_0_15_15 = e4) & ~ (unit = e4) & ( ~ (all_0_2_2 = e4) | all_0_0_0 = e2) & ( ~ (all_0_3_3 = e4) | all_0_0_0 = e1) & ( ~ (all_0_4_4 = e4) | all_0_0_0 = e0) & ( ~ (all_0_10_10 = e4) | all_0_8_8 = e1) & ( ~ (all_0_11_11 = e4) | all_0_8_8 = e0) & ( ~ (all_0_14_14 = e4) | all_0_12_12 = e2) & ( ~ (all_0_18_18 = e4) | all_0_16_16 = e2) & ( ~ (all_0_19_19 = e4) | all_0_16_16 = e1) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 24.42/6.43 |
% 24.42/6.43 | Applying alpha-rule on (436) yields:
% 24.42/6.43 | (437) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 24.42/6.43 | (438) ~ (unit = e4)
% 24.42/6.43 | (439) ~ (all_0_14_14 = e4) | all_0_12_12 = e2
% 24.42/6.43 | (440) ~ (all_0_19_19 = e4) | all_0_16_16 = e1
% 24.42/6.43 | (441) ~ (all_0_18_18 = e4) | all_0_16_16 = e2
% 24.42/6.43 | (442) ~ (all_0_15_15 = e4)
% 24.42/6.43 | (280) all_0_5_5 = e3
% 24.42/6.43 | (444) ~ (all_0_3_3 = e4) | all_0_0_0 = e1
% 24.42/6.43 | (445) ~ (all_0_10_10 = e4) | all_0_8_8 = e1
% 24.42/6.43 | (446) ~ (all_0_4_4 = e4) | all_0_0_0 = e0
% 24.42/6.43 | (447) ~ (all_0_11_11 = e4) | all_0_8_8 = e0
% 24.42/6.43 | (448) ~ (all_0_2_2 = e4) | all_0_0_0 = e2
% 24.42/6.43 |
% 24.42/6.43 | Combining equations (280,722) yields a new equation:
% 24.42/6.43 | (400) e3 = e2
% 24.42/6.43 |
% 24.42/6.43 | Simplifying 400 yields:
% 24.42/6.43 | (287) e3 = e2
% 24.42/6.43 |
% 24.42/6.43 | Equations (287) can reduce 183 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (452) all_0_6_6 = e2 & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_11_11 = e1) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = e1) & ~ (all_0_20_20 = e1) & ~ (unit = e1) & ( ~ (all_0_0_0 = e1) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e1) | all_0_3_3 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e4) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 24.42/6.43 |
% 24.42/6.43 | Applying alpha-rule on (452) yields:
% 24.42/6.43 | (453) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 24.42/6.43 | (454) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 24.42/6.43 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.43 | (212) all_0_6_6 = e2
% 24.42/6.43 | (457) ~ (all_0_8_8 = e1) | all_0_10_10 = e4
% 24.42/6.43 | (458) ~ (all_0_13_13 = e1)
% 24.42/6.43 | (459) ~ (all_0_0_0 = e1) | all_0_3_3 = e4
% 24.42/6.43 | (460) ~ (all_0_9_9 = e1)
% 24.42/6.43 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.43 | (462) ~ (all_0_11_11 = e1)
% 24.42/6.43 | (463) ~ (unit = e1)
% 24.42/6.43 | (464) ~ (all_0_4_4 = e1)
% 24.42/6.43 | (465) ~ (all_0_1_1 = e1) | all_0_3_3 = e3
% 24.42/6.43 |
% 24.42/6.43 | Combining equations (286,212) yields a new equation:
% 24.42/6.43 | (400) e3 = e2
% 24.42/6.43 |
% 24.42/6.43 | Simplifying 400 yields:
% 24.42/6.43 | (287) e3 = e2
% 24.42/6.43 |
% 24.42/6.43 | Equations (287) can reduce 183 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (467) all_0_9_9 = e2 & ~ (all_0_0_0 = e3) & ~ (all_0_6_6 = e3) & ~ (all_0_7_7 = e3) & ~ (all_0_12_12 = e3) & ~ (all_0_15_15 = e3) & ~ (all_0_16_16 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e1) & ( ~ (all_0_4_4 = e3) | all_0_1_1 = e0) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 24.42/6.43 |
% 24.42/6.43 | Applying alpha-rule on (467) yields:
% 24.42/6.43 | (468) ~ (all_0_7_7 = e3)
% 24.42/6.43 | (405) ~ (all_0_16_16 = e3)
% 24.42/6.43 | (470) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 24.42/6.43 | (295) ~ (all_0_15_15 = e3)
% 24.42/6.43 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.43 | (289) ~ (all_0_6_6 = e3)
% 24.42/6.43 | (474) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 24.42/6.43 | (475) ~ (unit = e3)
% 24.42/6.43 | (307) all_0_9_9 = e2
% 24.42/6.43 | (477) ~ (all_0_3_3 = e3) | all_0_1_1 = e1
% 24.42/6.43 | (478) ~ (all_0_4_4 = e3) | all_0_1_1 = e0
% 24.42/6.43 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.43 |
% 24.42/6.43 | Equations (286) can reduce 289 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (481) all_0_15_15 = e1 & ~ (all_0_5_5 = e0) & ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_4_4 = e4) & ( ~ (all_0_1_1 = e0) | all_0_4_4 = e3) & ( ~ (all_0_2_2 = e0) | all_0_4_4 = e2) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e4) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 24.42/6.43 |
% 24.42/6.43 | Applying alpha-rule on (481) yields:
% 24.42/6.43 | (482) all_0_15_15 = e1
% 24.42/6.43 | (483) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 24.42/6.43 | (484) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 24.42/6.43 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.43 | (486) ~ (all_0_8_8 = e0) | all_0_11_11 = e4
% 24.42/6.43 | (487) ~ (all_0_1_1 = e0) | all_0_4_4 = e3
% 24.42/6.43 | (488) ~ (all_0_2_2 = e0) | all_0_4_4 = e2
% 24.42/6.43 | (489) ~ (unit = e0)
% 24.42/6.43 | (490) ~ (all_0_0_0 = e0) | all_0_4_4 = e4
% 24.42/6.43 | (491) ~ (all_0_5_5 = e0)
% 24.42/6.43 | (492) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 24.42/6.43 |
% 24.42/6.43 | Equations (482) can reduce 36 to:
% 24.42/6.43 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.43 |
% 24.42/6.43 | Equations (482) can reduce 40 to:
% 24.42/6.43 | (2079) ~ (all_0_20_20 = e1)
% 24.42/6.43 |
% 24.42/6.43 | Simplifying 2079 yields:
% 24.42/6.43 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (132), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (318) all_0_8_8 = e0
% 24.42/6.43 |
% 24.42/6.43 | Equations (318) can reduce 146 to:
% 24.42/6.43 | (268) ~ (all_0_0_0 = e0)
% 24.42/6.43 |
% 24.42/6.43 | Equations (318) can reduce 309 to:
% 24.42/6.43 | (277) ~ (e2 = e0)
% 24.42/6.43 |
% 24.42/6.43 | Simplifying 277 yields:
% 24.42/6.43 | (39) ~ (e2 = e0)
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (99), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (797) all_0_0_0 = e0
% 24.42/6.43 |
% 24.42/6.43 | Equations (797) can reduce 268 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (268) ~ (all_0_0_0 = e0)
% 24.42/6.43 | (5846) all_0_1_1 = e0 | all_0_2_2 = e0 | all_0_4_4 = e0
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (5846), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (322) all_0_1_1 = e0
% 24.42/6.43 |
% 24.42/6.43 | Equations (322) can reduce 178 to:
% 24.42/6.43 | (268) ~ (all_0_0_0 = e0)
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (18), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (523) all_0_20_20 = e1
% 24.42/6.43 |
% 24.42/6.43 | Equations (523) can reduce 461 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (461) ~ (all_0_20_20 = e1)
% 24.42/6.43 | (780) all_0_0_0 = e3 | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (780), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (788) all_0_0_0 = e3
% 24.42/6.43 |
% 24.42/6.43 | Equations (788) can reduce 80 to:
% 24.42/6.43 | (3108) ~ (all_0_12_12 = e3)
% 24.42/6.43 |
% 24.42/6.43 | Simplifying 3108 yields:
% 24.42/6.43 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (129), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (413) all_0_12_12 = e3
% 24.42/6.43 |
% 24.42/6.43 | Equations (413) can reduce 472 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.43 | (871) all_0_13_13 = e3 | all_0_15_15 = e3
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (871), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (868) all_0_13_13 = e3
% 24.42/6.43 |
% 24.42/6.43 | Equations (868) can reduce 88 to:
% 24.42/6.43 | (472) ~ (all_0_12_12 = e3)
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (75), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (732) all_0_12_12 = e2
% 24.42/6.43 |
% 24.42/6.43 | Equations (732) can reduce 226 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (226) ~ (all_0_12_12 = e2)
% 24.42/6.43 | (8345) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (186), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (732) all_0_12_12 = e2
% 24.42/6.43 |
% 24.42/6.43 | Equations (732) can reduce 226 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (226) ~ (all_0_12_12 = e2)
% 24.42/6.43 | (875) all_0_12_12 = e4 | all_0_12_12 = e3 | all_0_12_12 = e1
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (875), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (360) all_0_12_12 = e4
% 24.42/6.43 |
% 24.42/6.43 | Equations (360) can reduce 357 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (357) ~ (all_0_12_12 = e4)
% 24.42/6.43 | (899) all_0_12_12 = e3 | all_0_12_12 = e1
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (899), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (418) all_0_12_12 = e1
% 24.42/6.43 |
% 24.42/6.43 | Equations (418) can reduce 422 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (422) ~ (all_0_12_12 = e1)
% 24.42/6.43 | (413) all_0_12_12 = e3
% 24.42/6.43 |
% 24.42/6.43 | Equations (413) can reduce 472 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (416) ~ (all_0_13_13 = e3)
% 24.42/6.43 | (1216) all_0_15_15 = e3
% 24.42/6.43 |
% 24.42/6.43 | Combining equations (482,1216) yields a new equation:
% 24.42/6.43 | (420) e3 = e1
% 24.42/6.43 |
% 24.42/6.43 | Equations (420) can reduce 111 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (414) ~ (all_0_0_0 = e3)
% 24.42/6.43 | (791) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (791), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (796) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_4_4 = e4)
% 24.42/6.43 |
% 24.42/6.43 | Applying alpha-rule on (796) yields:
% 24.42/6.43 | (797) all_0_0_0 = e0
% 24.42/6.43 | (792) all_0_20_20 = e4
% 24.42/6.43 | (392) ~ (all_0_4_4 = e4)
% 24.42/6.43 |
% 24.42/6.43 | Equations (797) can reduce 268 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (801) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 24.42/6.43 |
% 24.42/6.43 | Applying alpha-rule on (801) yields:
% 24.42/6.43 | (797) all_0_0_0 = e0
% 24.42/6.43 | (792) all_0_20_20 = e4
% 24.42/6.43 | (276) ~ (all_0_16_16 = e0)
% 24.42/6.43 |
% 24.42/6.43 | Equations (797) can reduce 268 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (237) ~ (all_0_1_1 = e0)
% 24.42/6.43 | (5850) all_0_2_2 = e0 | all_0_4_4 = e0
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (5850), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (236) all_0_2_2 = e0
% 24.42/6.43 |
% 24.42/6.43 | Combining equations (236,750) yields a new equation:
% 24.42/6.43 | (327) e2 = e0
% 24.42/6.43 |
% 24.42/6.43 | Equations (327) can reduce 39 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (4061) ~ (all_0_2_2 = e0)
% 24.42/6.43 | (638) all_0_4_4 = e0
% 24.42/6.43 |
% 24.42/6.43 | Equations (638) can reduce 344 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (272) ~ (all_0_8_8 = e0)
% 24.42/6.43 | (321) all_0_9_9 = e0 | all_0_11_11 = e0
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (321), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (326) all_0_9_9 = e0
% 24.42/6.43 |
% 24.42/6.43 | Equations (326) can reduce 329 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (329) ~ (all_0_9_9 = e0)
% 24.42/6.43 | (343) all_0_11_11 = e0
% 24.42/6.43 |
% 24.42/6.43 | Equations (343) can reduce 2480 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (496) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_5_5 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_13_13 = e2) & ~ (all_0_15_15 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_9_9 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 24.42/6.43 |
% 24.42/6.43 | Applying alpha-rule on (496) yields:
% 24.42/6.43 | (308) ~ (all_0_1_1 = e2)
% 24.42/6.43 | (498) ~ (all_0_9_9 = e2) | ~ (unit = e2)
% 24.42/6.43 | (499) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 24.42/6.43 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.43 | (501) ~ (all_0_14_14 = e2) | ~ (unit = e2)
% 24.42/6.43 | (502) ~ (all_0_0_0 = e2) | (all_0_2_2 = e4 & ~ (unit = e2))
% 24.42/6.43 | (503) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 24.42/6.43 | (213) ~ (all_0_3_3 = e2)
% 24.42/6.43 | (505) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 24.42/6.43 | (506) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 24.42/6.43 | (507) ~ (all_0_4_4 = e2) | (all_0_2_2 = e0 & ~ (unit = e2))
% 24.42/6.43 | (508) ~ (all_0_12_12 = e2) | (all_0_14_14 = e4 & ~ (unit = e2))
% 24.42/6.43 | (509) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 24.42/6.43 | (309) ~ (all_0_8_8 = e2)
% 24.42/6.43 | (220) ~ (all_0_19_19 = e2)
% 24.42/6.43 | (315) ~ (all_0_17_17 = e2)
% 24.42/6.43 | (216) ~ (all_0_7_7 = e2)
% 24.42/6.43 | (218) ~ (all_0_10_10 = e2)
% 24.42/6.43 | (227) ~ (all_0_13_13 = e2)
% 24.42/6.43 | (229) ~ (all_0_15_15 = e2)
% 24.42/6.43 | (313) ~ (all_0_11_11 = e2)
% 24.42/6.43 |
% 24.42/6.43 | Equations (722) can reduce 214 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.43 | (214) ~ (all_0_5_5 = e2)
% 24.42/6.43 | (13183) all_0_6_6 = e2 | all_0_7_7 = e2
% 24.42/6.43 |
% 24.42/6.43 +-Applying beta-rule and splitting (13183), into two cases.
% 24.42/6.43 |-Branch one:
% 24.42/6.43 | (212) all_0_6_6 = e2
% 24.42/6.43 |
% 24.42/6.43 | Combining equations (212,286) yields a new equation:
% 24.42/6.43 | (287) e3 = e2
% 24.42/6.43 |
% 24.42/6.43 | Equations (287) can reduce 183 to:
% 24.42/6.43 | (243) $false
% 24.42/6.43 |
% 24.42/6.43 |-The branch is then unsatisfiable
% 24.42/6.43 |-Branch two:
% 24.42/6.44 | (12630) ~ (all_0_6_6 = e2)
% 24.42/6.44 | (812) all_0_7_7 = e2
% 24.42/6.44 |
% 24.42/6.44 | Combining equations (3098,812) yields a new equation:
% 24.42/6.44 | (327) e2 = e0
% 24.42/6.44 |
% 24.42/6.44 | Equations (327) can reduce 39 to:
% 24.42/6.44 | (243) $false
% 24.42/6.44 |
% 24.42/6.44 |-The branch is then unsatisfiable
% 24.42/6.44 |-Branch two:
% 24.42/6.44 | (225) ~ (all_0_2_2 = e2)
% 24.42/6.44 | (10150) all_0_14_14 = e2 | all_0_18_18 = e2
% 24.42/6.44 |
% 24.42/6.44 +-Applying beta-rule and splitting (10150), into two cases.
% 24.42/6.44 |-Branch one:
% 24.42/6.44 | (224) all_0_14_14 = e2
% 24.42/6.44 |
% 24.42/6.44 | Combining equations (252,224) yields a new equation:
% 24.42/6.44 | (253) e4 = e2
% 24.42/6.44 |
% 24.42/6.44 | Simplifying 253 yields:
% 24.42/6.44 | (254) e4 = e2
% 24.42/6.44 |
% 24.42/6.44 | Equations (254) can reduce 194 to:
% 24.42/6.44 | (243) $false
% 24.42/6.44 |
% 24.42/6.44 |-The branch is then unsatisfiable
% 24.42/6.44 |-Branch two:
% 24.42/6.44 | (7736) ~ (all_0_14_14 = e2)
% 24.42/6.44 | (242) all_0_18_18 = e2
% 24.42/6.44 |
% 24.42/6.44 | Equations (242) can reduce 231 to:
% 24.42/6.44 | (243) $false
% 24.42/6.44 |
% 24.42/6.44 |-The branch is then unsatisfiable
% 24.42/6.44 % SZS output end Proof for theBenchmark
% 24.42/6.44
% 24.42/6.44 5826ms
%------------------------------------------------------------------------------