TSTP Solution File: ALG067+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG067+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:34:12 EDT 2022
% Result : Theorem 6.01s 1.93s
% Output : Proof 9.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG067+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 00:33:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/0.59 ____ _
% 0.58/0.59 ___ / __ \_____(_)___ ________ __________
% 0.58/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.59
% 0.58/0.59 A Theorem Prover for First-Order Logic
% 0.58/0.59 (ePrincess v.1.0)
% 0.58/0.59
% 0.58/0.59 (c) Philipp Rümmer, 2009-2015
% 0.58/0.59 (c) Peter Backeman, 2014-2015
% 0.58/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.59 Bug reports to peter@backeman.se
% 0.58/0.59
% 0.58/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.59
% 0.58/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.72/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.37/1.17 Prover 0: Preprocessing ...
% 4.42/1.53 Prover 0: Constructing countermodel ...
% 6.01/1.93 Prover 0: proved (1287ms)
% 6.01/1.93
% 6.01/1.93 No countermodel exists, formula is valid
% 6.01/1.93 % SZS status Theorem for theBenchmark
% 6.01/1.93
% 6.01/1.93 Generating proof ... found it (size 861)
% 8.70/2.64
% 8.70/2.64 % SZS output start Proof for theBenchmark
% 8.70/2.64 Assumed formulas after preprocessing and simplification:
% 8.70/2.64 | (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 = v7) & ~ (v20 = v4) & ~ (v20 = e3) & ~ (v20 = e2) & ~ (v20 = e1) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v15) & ~ (v19 = v11) & ~ (v19 = v6) & ~ (v19 = v3) & ~ (v19 = e1) & ~ (v18 = v17) & ~ (v18 = v13) & ~ (v18 = v9) & ~ (v18 = v1) & ~ (v18 = e1) & ~ (v18 = e0) & ~ (v17 = v12) & ~ (v17 = v8) & ~ (v17 = v0) & ~ (v17 = e1) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = v12) & ~ (v16 = v7) & ~ (v16 = v4) & ~ (v16 = e3) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v6) & ~ (v15 = v3) & ~ (v15 = e4) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v5) & ~ (v14 = v2) & ~ (v14 = e1) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v1) & ~ (v13 = e0) & ~ (v12 = v8) & ~ (v12 = v0) & ~ (v12 = e1) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v6) & ~ (v11 = v3) & ~ (v11 = e3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v5) & ~ (v10 = v2) & ~ (v10 = e4) & ~ (v10 = e3) & ~ (v10 = e1) & ~ (v9 = v8) & ~ (v9 = v1) & ~ (v9 = e3) & ~ (v9 = e0) & ~ (v8 = v0) & ~ (v8 = e3) & ~ (v8 = e1) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = e3) & ~ (v7 = e1) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v3) & ~ (v6 = e1) & ~ (v6 = e0) & ~ (v5 = v2) & ~ (v5 = e1) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v4 = e3) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e1) & ~ (v1 = v0) & ~ (v1 = e0) & ~ (v0 = e1) & ~ (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) = e1 & op(e4, e1) = v18 & op(e4, e0) = v17 & op(e3, unit) = e3 & op(e3, e4) = v16 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, unit) = e1 & op(e1, e4) = v7 & op(e1, e3) = v6 & op(e1, e2) = v5 & op(e1, e1) = e0 & op(e1, e0) = e1 & 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 = e0) | v17 = e4) & ( ~ (v15 = e2) | v14 = e3) & ( ~ (v15 = e1) | v13 = e3) & ( ~ (v15 = e0) | v12 = e3) & ( ~ (v10 = e0) | v8 = e2) & ( ~ (v0 = e4) | v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & (v20 = e4 | v20 = e0) & (v20 = e4 | v19 = e4 | v18 = e4 | v17 = e4) & (v20 = e4 | v16 = e4 | v7 = e4 | v4 = e4) & (v20 = e0 | v19 = e0 | v17 = e0) & (v20 = e0 | v16 = e0 | v4 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | v19 = e0) & (v19 = e4 | v11 = e4 | v6 = e4 | v3 = e4) & (v19 = e3 | v18 = e3 | v17 = e3) & (v19 = e3 | v15 = e3 | v6 = e3 | v3 = e3) & (v19 = e2 | v18 = e2 | v17 = e2) & (v19 = e2 | v15 = e2 | v11 = e2 | v6 = e2 | v3 = e2) & (v19 = e0 | v15 = e0 | v11 = e0 | v3 = e0) & (v18 = e4 | v18 = e3 | v18 = e2) & (v18 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v18 = e3 | v13 = e3 | v1 = e3) & (v18 = e2 | v13 = e2 | v9 = e2 | v1 = e2) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e0) & (v17 = e4 | v12 = e4 | v8 = e4 | v0 = e4) & (v17 = e3 | v12 = e3 | v0 = e3) & (v17 = e2 | v12 = e2 | v8 = e2 | v0 = e2) & (v17 = e0 | v12 = e0 | v8 = e0 | v0 = e0) & (v16 = e4 | v16 = e2 | v16 = e1 | v16 = e0) & (v16 = e4 | v14 = e4 | v13 = e4 | v12 = e4) & (v16 = e2 | v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v16 = e2 | v7 = e2 | v4 = e2) & (v16 = e1 | v15 = e1 | v13 = e1) & (v16 = e1 | v4 = e1) & (v16 = e0 | v15 = e0 | v14 = e0 | v12 = e0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3 | v12 = e3) & (v15 = e1 | v11 = e1 | v3 = e1) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e0) & (v14 = e4 | v5 = e4 | v2 = e4) & (v14 = e3 | v5 = e3 | v2 = e3) & (v14 = e2 | v10 = e2 | v5 = e2 | v2 = e2) & (v14 = e0 | v10 = e0 | v2 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1) & (v13 = e1 | v9 = e1 | v1 = e1) & (v12 = e4 | v12 = e3 | v12 = e2 | v12 = e0) & (v11 = e4 | v11 = e2 | v11 = e1 | v11 = e0) & (v11 = e4 | v9 = e4 | v8 = e4) & (v11 = e2 | v10 = e2 | v9 = e2 | v8 = e2) & (v11 = e1 | v9 = e1) & (v11 = e0 | v10 = e0 | v8 = e0) & (v10 = e2 | v10 = e0) & (v9 = e4 | v9 = e2 | v9 = e1) & (v8 = e4 | v8 = e2 | v8 = e0) & (v7 = e4 | v7 = e2) & (v7 = e4 | v6 = e4 | v5 = e4) & (v7 = e2 | v6 = e2 | v5 = e2) & (v6 = e4 | v6 = e3 | v6 = e2) & (v6 = e3 | v5 = e3) & (v5 = e4 | v5 = e3 | v5 = e2) & (v4 = e4 | v4 = e2 | v4 = e1 | v4 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v1 = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v0 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v20 = e0 & v0 = e4 & ~ (v17 = e4)) | (v20 = e0 & v0 = e4 & ~ (v4 = e0)) | (v15 = e0 & v0 = e3 & ~ (v12 = e3)) | (v15 = e0 & v0 = e3 & ~ (v3 = e0)) | (v10 = e0 & v0 = e2 & ~ (v8 = e2)) | (v10 = e0 & v0 = e2 & ~ (v2 = e0))))
% 8.70/2.68 | 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:
% 8.70/2.68 | (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_13_13) & ~ (all_0_0_0 = all_0_16_16) & ~ (all_0_0_0 = e3) & ~ (all_0_0_0 = e2) & ~ (all_0_0_0 = e1) & ~ (all_0_1_1 = all_0_2_2) & ~ (all_0_1_1 = all_0_3_3) & ~ (all_0_1_1 = all_0_5_5) & ~ (all_0_1_1 = all_0_9_9) & ~ (all_0_1_1 = all_0_14_14) & ~ (all_0_1_1 = all_0_17_17) & ~ (all_0_1_1 = e1) & ~ (all_0_2_2 = all_0_3_3) & ~ (all_0_2_2 = all_0_7_7) & ~ (all_0_2_2 = all_0_11_11) & ~ (all_0_2_2 = all_0_19_19) & ~ (all_0_2_2 = e1) & ~ (all_0_2_2 = e0) & ~ (all_0_3_3 = all_0_8_8) & ~ (all_0_3_3 = all_0_12_12) & ~ (all_0_3_3 = all_0_20_20) & ~ (all_0_3_3 = e1) & ~ (all_0_4_4 = all_0_5_5) & ~ (all_0_4_4 = all_0_6_6) & ~ (all_0_4_4 = all_0_7_7) & ~ (all_0_4_4 = all_0_8_8) & ~ (all_0_4_4 = all_0_13_13) & ~ (all_0_4_4 = all_0_16_16) & ~ (all_0_4_4 = e3) & ~ (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_9_9) & ~ (all_0_5_5 = all_0_14_14) & ~ (all_0_5_5 = all_0_17_17) & ~ (all_0_5_5 = e4) & ~ (all_0_6_6 = all_0_7_7) & ~ (all_0_6_6 = all_0_8_8) & ~ (all_0_6_6 = all_0_10_10) & ~ (all_0_6_6 = all_0_15_15) & ~ (all_0_6_6 = all_0_18_18) & ~ (all_0_6_6 = e1) & ~ (all_0_7_7 = all_0_8_8) & ~ (all_0_7_7 = all_0_11_11) & ~ (all_0_7_7 = all_0_19_19) & ~ (all_0_7_7 = e0) & ~ (all_0_8_8 = all_0_12_12) & ~ (all_0_8_8 = all_0_20_20) & ~ (all_0_8_8 = e1) & ~ (all_0_9_9 = all_0_10_10) & ~ (all_0_9_9 = all_0_11_11) & ~ (all_0_9_9 = all_0_12_12) & ~ (all_0_9_9 = all_0_14_14) & ~ (all_0_9_9 = all_0_17_17) & ~ (all_0_9_9 = e3) & ~ (all_0_10_10 = all_0_11_11) & ~ (all_0_10_10 = all_0_12_12) & ~ (all_0_10_10 = all_0_15_15) & ~ (all_0_10_10 = all_0_18_18) & ~ (all_0_10_10 = e4) & ~ (all_0_10_10 = e3) & ~ (all_0_10_10 = e1) & ~ (all_0_11_11 = all_0_12_12) & ~ (all_0_11_11 = all_0_19_19) & ~ (all_0_11_11 = e3) & ~ (all_0_11_11 = e0) & ~ (all_0_12_12 = all_0_20_20) & ~ (all_0_12_12 = e3) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = all_0_14_14) & ~ (all_0_13_13 = all_0_15_15) & ~ (all_0_13_13 = all_0_16_16) & ~ (all_0_13_13 = e3) & ~ (all_0_13_13 = e1) & ~ (all_0_13_13 = e0) & ~ (all_0_14_14 = all_0_15_15) & ~ (all_0_14_14 = all_0_17_17) & ~ (all_0_14_14 = e1) & ~ (all_0_14_14 = e0) & ~ (all_0_15_15 = all_0_18_18) & ~ (all_0_15_15 = e1) & ~ (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_16_16 = e3) & ~ (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_18_18 = all_0_19_19) & ~ (all_0_18_18 = all_0_20_20) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = all_0_20_20) & ~ (all_0_19_19 = e0) & ~ (all_0_20_20 = e1) & ~ (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) = e1 & op(e4, e1) = all_0_2_2 & op(e4, e0) = all_0_3_3 & op(e3, unit) = e3 & op(e3, e4) = all_0_4_4 & op(e3, e3) = all_0_5_5 & op(e3, e2) = all_0_6_6 & op(e3, e1) = all_0_7_7 & op(e3, e0) = all_0_8_8 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = all_0_9_9 & op(e2, e2) = all_0_10_10 & op(e2, e1) = all_0_11_11 & op(e2, e0) = all_0_12_12 & op(e1, unit) = e1 & op(e1, e4) = all_0_13_13 & op(e1, e3) = all_0_14_14 & op(e1, e2) = all_0_15_15 & op(e1, e1) = e0 & op(e1, e0) = e1 & 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 = e0) | all_0_3_3 = e4) & ( ~ (all_0_5_5 = e2) | all_0_6_6 = e3) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0) & ( ~ (all_0_20_20 = e2) | all_0_18_18 = e0) & (all_0_0_0 = e4 | all_0_0_0 = e0) & (all_0_0_0 = e4 | all_0_1_1 = e4 | all_0_2_2 = e4 | all_0_3_3 = e4) & (all_0_0_0 = e4 | all_0_4_4 = e4 | all_0_13_13 = e4 | all_0_16_16 = e4) & (all_0_0_0 = e0 | all_0_1_1 = e0 | all_0_3_3 = e0) & (all_0_0_0 = e0 | all_0_4_4 = e0 | all_0_16_16 = e0) & (all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e2 | all_0_1_1 = e0) & (all_0_1_1 = e4 | all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4) & (all_0_1_1 = e3 | all_0_2_2 = e3 | all_0_3_3 = e3) & (all_0_1_1 = e3 | all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3) & (all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2) & (all_0_1_1 = e2 | all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2) & (all_0_1_1 = e0 | all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0) & (all_0_2_2 = e4 | all_0_2_2 = e3 | all_0_2_2 = e2) & (all_0_2_2 = e4 | all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4) & (all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_19_19 = e3) & (all_0_2_2 = e2 | all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2) & (all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e2 | all_0_3_3 = e0) & (all_0_3_3 = e4 | all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4) & (all_0_3_3 = e3 | all_0_8_8 = e3 | all_0_20_20 = e3) & (all_0_3_3 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2) & (all_0_3_3 = e0 | all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0) & (all_0_4_4 = e4 | all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0) & (all_0_4_4 = e4 | all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4) & (all_0_4_4 = e2 | all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2) & (all_0_4_4 = e2 | all_0_13_13 = e2 | all_0_16_16 = e2) & (all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_7_7 = e1) & (all_0_4_4 = e1 | all_0_16_16 = e1) & (all_0_4_4 = e0 | all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0) & (all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0) & (all_0_5_5 = e3 | all_0_6_6 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3) & (all_0_5_5 = e1 | all_0_9_9 = e1 | all_0_17_17 = e1) & (all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e2 | all_0_6_6 = e0) & (all_0_6_6 = e4 | all_0_15_15 = e4 | all_0_18_18 = e4) & (all_0_6_6 = e3 | all_0_15_15 = e3 | all_0_18_18 = e3) & (all_0_6_6 = e2 | all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2) & (all_0_6_6 = e0 | all_0_10_10 = e0 | all_0_18_18 = e0) & (all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1) & (all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1) & (all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0) & (all_0_9_9 = e4 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0) & (all_0_9_9 = e4 | all_0_11_11 = e4 | all_0_12_12 = e4) & (all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2 | all_0_12_12 = e2) & (all_0_9_9 = e1 | all_0_11_11 = e1) & (all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_12_12 = e0) & (all_0_10_10 = e2 | all_0_10_10 = e0) & (all_0_11_11 = e4 | all_0_11_11 = e2 | all_0_11_11 = e1) & (all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e0) & (all_0_13_13 = e4 | all_0_13_13 = e2) & (all_0_13_13 = e4 | all_0_14_14 = e4 | all_0_15_15 = e4) & (all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2) & (all_0_14_14 = e4 | all_0_14_14 = e3 | all_0_14_14 = e2) & (all_0_14_14 = e3 | all_0_15_15 = e3) & (all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e2) & (all_0_16_16 = e4 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0) & (all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4) & (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_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0) & (all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0) & (all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3) & (all_0_18_18 = e4 | all_0_18_18 = e3 | 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 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)))
% 9.18/2.70 |
% 9.18/2.70 | Applying alpha-rule on (1) yields:
% 9.18/2.70 | (2) op(e1, e2) = all_0_15_15
% 9.18/2.70 | (3) ~ (all_0_6_6 = all_0_10_10)
% 9.18/2.70 | (4) ~ (all_0_3_3 = all_0_12_12)
% 9.18/2.70 | (5) all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0
% 9.18/2.70 | (6) ~ (e4 = e0)
% 9.18/2.70 | (7) all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e2 | all_0_1_1 = e0
% 9.18/2.70 | (8) op(e3, e4) = all_0_4_4
% 9.18/2.70 | (9) ~ (all_0_6_6 = all_0_8_8)
% 9.18/2.70 | (10) all_0_6_6 = e3 | all_0_15_15 = e3 | all_0_18_18 = e3
% 9.18/2.70 | (11) op(unit, e3) = e3
% 9.18/2.70 | (12) ~ (all_0_11_11 = e0)
% 9.18/2.70 | (13) all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e0
% 9.18/2.70 | (14) all_0_4_4 = e2 | all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 9.18/2.70 | (15) ~ (all_0_9_9 = e3)
% 9.18/2.70 | (16) ~ (all_0_11_11 = all_0_12_12)
% 9.18/2.70 | (17) 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
% 9.18/2.70 | (18) ~ (all_0_4_4 = all_0_13_13)
% 9.18/2.70 | (19) op(unit, e0) = e0
% 9.18/2.70 | (20) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 9.18/2.70 | (21) op(e2, unit) = e2
% 9.18/2.70 | (22) ~ (all_0_10_10 = e3)
% 9.18/2.70 | (23) all_0_1_1 = e3 | all_0_2_2 = e3 | all_0_3_3 = e3
% 9.18/2.70 | (24) ~ (all_0_5_5 = all_0_6_6)
% 9.18/2.70 | (25) op(e0, e2) = all_0_18_18
% 9.18/2.70 | (26) ~ (all_0_6_6 = all_0_18_18)
% 9.18/2.70 | (27) all_0_4_4 = e0 | all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 9.18/2.70 | (28) ~ (all_0_3_3 = all_0_8_8)
% 9.18/2.70 | (29) ~ (all_0_1_1 = e1)
% 9.18/2.70 | (30) ~ (e4 = e3)
% 9.18/2.70 | (31) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 9.18/2.70 | (32) ~ (all_0_19_19 = all_0_20_20)
% 9.18/2.70 | (33) op(unit, e4) = e4
% 9.18/2.70 | (34) ~ (all_0_12_12 = all_0_20_20)
% 9.18/2.70 | (35) op(e1, e4) = all_0_13_13
% 9.18/2.70 | (36) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 9.18/2.70 | (37) ~ (all_0_13_13 = all_0_15_15)
% 9.18/2.70 | (38) ~ (all_0_10_10 = all_0_11_11)
% 9.18/2.71 | (39) ~ (all_0_10_10 = all_0_18_18)
% 9.18/2.71 | (40) ~ (all_0_1_1 = all_0_14_14)
% 9.18/2.71 | (41) all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1
% 9.18/2.71 | (42) ~ (all_0_7_7 = all_0_11_11)
% 9.18/2.71 | (43) all_0_16_16 = e4 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 9.18/2.71 | (44) ~ (all_0_13_13 = e0)
% 9.18/2.71 | (45) ~ (all_0_12_12 = e1)
% 9.18/2.71 | (46) ~ (all_0_5_5 = e2) | all_0_6_6 = e3
% 9.18/2.71 | (47) ~ (all_0_2_2 = all_0_3_3)
% 9.18/2.71 | (48) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e2 | all_0_6_6 = e0
% 9.18/2.71 | (49) all_0_0_0 = e4 | all_0_4_4 = e4 | all_0_13_13 = e4 | all_0_16_16 = e4
% 9.22/2.71 | (50) ~ (all_0_5_5 = all_0_17_17)
% 9.22/2.71 | (51) ~ (all_0_4_4 = all_0_5_5)
% 9.22/2.71 | (52) ~ (all_0_16_16 = all_0_18_18)
% 9.22/2.71 | (53) op(unit, e1) = e1
% 9.22/2.71 | (54) all_0_4_4 = e4 | all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 9.22/2.71 | (55) ~ (e2 = e0)
% 9.22/2.71 | (56) all_0_1_1 = e3 | all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 9.22/2.71 | (57) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 9.22/2.71 | (58) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 9.22/2.71 | (59) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 9.22/2.71 | (60) ~ (all_0_10_10 = e1)
% 9.22/2.71 | (61) all_0_5_5 = e1 | all_0_9_9 = e1 | all_0_17_17 = e1
% 9.22/2.71 | (62) all_0_1_1 = e2 | all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 9.22/2.71 | (63) ~ (e3 = e0)
% 9.22/2.71 | (64) ~ (all_0_18_18 = e1)
% 9.22/2.71 | (65) all_0_3_3 = e0 | all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0
% 9.22/2.71 | (66) op(e1, e0) = e1
% 9.22/2.71 | (67) ~ (all_0_9_9 = all_0_11_11)
% 9.22/2.71 | (68) ~ (all_0_10_10 = all_0_12_12)
% 9.22/2.71 | (69) ~ (all_0_9_9 = all_0_14_14)
% 9.22/2.71 | (70) all_0_1_1 = e0 | all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 9.22/2.71 | (71) all_0_0_0 = e4 | all_0_0_0 = e0
% 9.22/2.71 | (72) ~ (all_0_19_19 = e0)
% 9.22/2.71 | (73) ~ (all_0_14_14 = e1)
% 9.22/2.71 | (74) ~ (all_0_7_7 = e0)
% 9.22/2.71 | (75) ~ (all_0_4_4 = all_0_8_8)
% 9.22/2.71 | (76) ~ (all_0_7_7 = all_0_8_8)
% 9.22/2.71 | (77) ~ (all_0_0_0 = all_0_3_3)
% 9.22/2.71 | (78) ~ (all_0_14_14 = all_0_17_17)
% 9.22/2.71 | (79) all_0_4_4 = e4 | all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0
% 9.22/2.71 | (80) ~ (all_0_14_14 = e0)
% 9.22/2.71 | (81) op(e2, e1) = all_0_11_11
% 9.22/2.71 | (82) ~ (all_0_16_16 = all_0_20_20)
% 9.22/2.71 | (83) op(e0, e4) = all_0_16_16
% 9.22/2.71 | (84) all_0_3_3 = e4 | all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 9.22/2.71 | (85) ~ (all_0_15_15 = e0)
% 9.22/2.71 | (86) ~ (all_0_4_4 = all_0_7_7)
% 9.22/2.71 | (87) ~ (all_0_13_13 = all_0_14_14)
% 9.22/2.71 | (88) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_19_19 = e1
% 9.22/2.71 | (89) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 9.22/2.71 | (90) ~ (all_0_9_9 = all_0_10_10)
% 9.22/2.71 | (91) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e2 | all_0_3_3 = e0
% 9.22/2.71 | (92) op(e0, e3) = all_0_17_17
% 9.22/2.71 | (93) ~ (all_0_17_17 = all_0_18_18)
% 9.22/2.71 | (94) all_0_4_4 = e1 | all_0_16_16 = e1
% 9.22/2.71 | (95) ~ (all_0_2_2 = all_0_11_11)
% 9.22/2.71 | (96) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2
% 9.22/2.71 | (97) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 9.22/2.71 | (98) ~ (all_0_12_12 = e3)
% 9.22/2.71 | (99) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 9.22/2.71 | (100) op(e3, e0) = all_0_8_8
% 9.22/2.71 | (101) all_0_0_0 = e0 | all_0_1_1 = e0 | all_0_3_3 = e0
% 9.22/2.71 | (102) all_0_3_3 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2
% 9.22/2.71 | (103) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e2
% 9.22/2.72 | (104) op(e3, unit) = e3
% 9.22/2.72 | (105) ~ (all_0_8_8 = e1)
% 9.22/2.72 | (106) ~ (all_0_13_13 = all_0_16_16)
% 9.22/2.72 | (107) ~ (all_0_5_5 = all_0_9_9)
% 9.22/2.72 | (108) op(e3, e1) = all_0_7_7
% 9.22/2.72 | (109) all_0_2_2 = e4 | all_0_2_2 = e3 | all_0_2_2 = e2
% 9.22/2.72 | (110) all_0_10_10 = e2 | all_0_10_10 = e0
% 9.22/2.72 | (111) op(e3, e2) = all_0_6_6
% 9.22/2.72 | (112) op(e1, e1) = e0
% 9.22/2.72 | (113) all_0_9_9 = e4 | all_0_11_11 = e4 | all_0_12_12 = e4
% 9.22/2.72 | (114) op(e4, unit) = e4
% 9.22/2.72 | (115) ~ (all_0_5_5 = all_0_8_8)
% 9.22/2.72 | (116) ~ (all_0_4_4 = all_0_16_16)
% 9.22/2.72 | (117) op(e0, e0) = all_0_20_20
% 9.22/2.72 | (118) all_0_13_13 = e4 | all_0_13_13 = e2
% 9.22/2.72 | (119) ~ (all_0_18_18 = all_0_19_19)
% 9.22/2.72 | (120) ~ (all_0_6_6 = all_0_15_15)
% 9.22/2.72 | (121) op(e2, e0) = all_0_12_12
% 9.22/2.72 | (122) ~ (all_0_0_0 = all_0_4_4)
% 9.22/2.72 | (123) all_0_13_13 = e4 | all_0_14_14 = e4 | all_0_15_15 = e4
% 9.22/2.72 | (124) op(unit, e2) = e2
% 9.22/2.72 | (125) ~ (e1 = e0)
% 9.22/2.72 | (126) ~ (e3 = e1)
% 9.22/2.72 | (127) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1
% 9.22/2.72 | (128) ~ (all_0_1_1 = all_0_9_9)
% 9.22/2.72 | (129) op(e1, e3) = all_0_14_14
% 9.22/2.72 | (130) ~ (all_0_0_0 = all_0_1_1)
% 9.22/2.72 | (131) ~ (e2 = e1)
% 9.22/2.72 | (132) all_0_6_6 = e4 | all_0_15_15 = e4 | all_0_18_18 = e4
% 9.22/2.72 | (133) all_0_5_5 = e3 | all_0_6_6 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 9.22/2.72 | (134) ~ (all_0_3_3 = e1)
% 9.22/2.72 | (135) ~ (all_0_4_4 = all_0_6_6)
% 9.22/2.72 | (136) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1
% 9.22/2.72 | (137) op(e4, e2) = e1
% 9.22/2.72 | (138) all_0_0_0 = e4 | all_0_1_1 = e4 | all_0_2_2 = e4 | all_0_3_3 = e4
% 9.22/2.72 | (139) all_0_4_4 = e2 | all_0_13_13 = e2 | all_0_16_16 = e2
% 9.22/2.72 | (140) all_0_0_0 = e0 | all_0_4_4 = e0 | all_0_16_16 = e0
% 9.22/2.72 | (141) ~ (all_0_8_8 = all_0_12_12)
% 9.22/2.72 | (142) ~ (all_0_0_0 = all_0_16_16)
% 9.22/2.72 | (143) op(e4, e3) = all_0_1_1
% 9.22/2.72 | (144) ~ (all_0_16_16 = all_0_17_17)
% 9.22/2.72 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 9.22/2.72 | (146) ~ (all_0_1_1 = all_0_2_2)
% 9.22/2.72 | (147) op(e0, unit) = e0
% 9.22/2.72 | (148) all_0_14_14 = e4 | all_0_14_14 = e3 | all_0_14_14 = e2
% 9.22/2.72 | (149) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0))
% 9.22/2.72 | (150) ~ (all_0_11_11 = e3)
% 9.22/2.72 | (151) ~ (all_0_9_9 = all_0_17_17)
% 9.22/2.72 | (152) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 9.22/2.72 | (153) op(e2, e4) = e3
% 9.22/2.72 | (154) ~ (all_0_17_17 = all_0_20_20)
% 9.22/2.72 | (155) ~ (all_0_3_3 = all_0_20_20)
% 9.22/2.72 | (156) all_0_9_9 = e4 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 9.22/2.72 | (157) op(e4, e0) = all_0_3_3
% 9.22/2.72 | (158) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2 | all_0_12_12 = e2
% 9.22/2.72 | (159) ~ (all_0_5_5 = all_0_7_7)
% 9.22/2.72 | (160) op(e4, e4) = all_0_0_0
% 9.22/2.72 | (161) ~ (all_0_2_2 = all_0_7_7)
% 9.22/2.72 | (162) ~ (all_0_20_20 = e1)
% 9.22/2.72 | (163) all_0_6_6 = e2 | all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 9.22/2.72 | (164) op(e3, e3) = all_0_5_5
% 9.22/2.72 | (165) all_0_1_1 = e4 | all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 9.22/2.72 | (166) all_0_14_14 = e3 | all_0_15_15 = e3
% 9.22/2.72 | (167) ~ (all_0_1_1 = all_0_5_5)
% 9.22/2.72 | (168) ~ (all_0_0_0 = e1)
% 9.22/2.72 | (169) ~ (all_0_13_13 = e3)
% 9.22/2.72 | (170) ~ (all_0_0_0 = e3)
% 9.22/2.72 | (171) ~ (all_0_1_1 = all_0_3_3)
% 9.22/2.72 | (172) ~ (all_0_4_4 = e3)
% 9.22/2.72 | (173) ~ (all_0_11_11 = all_0_19_19)
% 9.22/2.72 | (174) ~ (all_0_2_2 = e1)
% 9.22/2.72 | (175) ~ (all_0_2_2 = e0)
% 9.22/2.72 | (176) ~ (all_0_5_5 = e4)
% 9.22/2.72 | (177) ~ (all_0_17_17 = all_0_19_19)
% 9.22/2.72 | (178) ~ (all_0_0_0 = e2)
% 9.22/2.72 | (179) ~ (all_0_9_9 = all_0_12_12)
% 9.22/2.72 | (180) all_0_9_9 = e1 | all_0_11_11 = e1
% 9.22/2.72 | (181) ~ (all_0_16_16 = all_0_19_19)
% 9.22/2.72 | (182) ~ (all_0_15_15 = e1)
% 9.22/2.72 | (183) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0
% 9.22/2.72 | (184) ~ (all_0_7_7 = all_0_19_19)
% 9.22/2.72 | (185) ~ (all_0_10_10 = all_0_15_15)
% 9.22/2.72 | (186) ~ (all_0_6_6 = all_0_7_7)
% 9.22/2.72 | (187) op(e2, e2) = all_0_10_10
% 9.22/2.72 | (188) all_0_6_6 = e0 | all_0_10_10 = e0 | all_0_18_18 = e0
% 9.22/2.72 | (189) ~ (all_0_14_14 = all_0_15_15)
% 9.22/2.72 | (190) ~ (all_0_1_1 = all_0_17_17)
% 9.22/2.72 | (191) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 9.22/2.72 | (192) all_0_2_2 = e2 | all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 9.22/2.72 | (193) op(e0, e1) = all_0_19_19
% 9.22/2.72 | (194) ~ (e3 = e2)
% 9.22/2.72 | (195) ~ (all_0_18_18 = all_0_20_20)
% 9.22/2.72 | (196) ~ (all_0_5_5 = all_0_14_14)
% 9.22/2.73 | (197) op(e1, unit) = e1
% 9.22/2.73 | (198) ~ (all_0_0_0 = all_0_2_2)
% 9.22/2.73 | (199) op(e4, e1) = all_0_2_2
% 9.22/2.73 | (200) ~ (all_0_2_2 = all_0_19_19)
% 9.22/2.73 | (201) all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_19_19 = e3
% 9.22/2.73 | (202) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e0
% 9.22/2.73 | (203) ~ (e4 = e2)
% 9.22/2.73 | (204) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_12_12 = e0
% 9.22/2.73 | (205) op(e2, e3) = all_0_9_9
% 9.22/2.73 | (206) all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_7_7 = e1
% 9.22/2.73 | (207) all_0_11_11 = e4 | all_0_11_11 = e2 | all_0_11_11 = e1
% 9.22/2.73 | (208) ~ (all_0_15_15 = all_0_18_18)
% 9.22/2.73 | (209) ~ (all_0_6_6 = e1)
% 9.22/2.73 | (210) ~ (all_0_10_10 = e4)
% 9.22/2.73 | (211) ~ (all_0_0_0 = all_0_13_13)
% 9.22/2.73 | (212) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 9.22/2.73 | (213) ~ (all_0_13_13 = e1)
% 9.22/2.73 | (214) all_0_3_3 = e3 | all_0_8_8 = e3 | all_0_20_20 = e3
% 9.22/2.73 | (215) ~ (all_0_16_16 = e3)
% 9.22/2.73 | (216) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e0
% 9.22/2.73 | (217) ~ (e4 = e1)
% 9.22/2.73 | (218) ~ (all_0_8_8 = all_0_20_20)
% 9.22/2.73 | (219) ~ (all_0_20_20 = e2) | all_0_18_18 = e0
% 9.22/2.73 | (220) all_0_2_2 = e4 | all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (89), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (221) ~ (all_0_10_10 = e0)
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (110), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (222) all_0_10_10 = e2
% 9.22/2.73 |
% 9.22/2.73 | Equations (222) can reduce 3 to:
% 9.22/2.73 | (223) ~ (all_0_6_6 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Equations (222) can reduce 38 to:
% 9.22/2.73 | (224) ~ (all_0_11_11 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Simplifying 224 yields:
% 9.22/2.73 | (225) ~ (all_0_11_11 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Equations (222) can reduce 68 to:
% 9.22/2.73 | (226) ~ (all_0_12_12 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Simplifying 226 yields:
% 9.22/2.73 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Equations (222) can reduce 185 to:
% 9.22/2.73 | (228) ~ (all_0_15_15 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Simplifying 228 yields:
% 9.22/2.73 | (229) ~ (all_0_15_15 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Equations (222) can reduce 39 to:
% 9.22/2.73 | (230) ~ (all_0_18_18 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Simplifying 230 yields:
% 9.22/2.73 | (231) ~ (all_0_18_18 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Equations (222) can reduce 210 to:
% 9.22/2.73 | (232) ~ (e4 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Simplifying 232 yields:
% 9.22/2.73 | (203) ~ (e4 = e2)
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (118), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (234) all_0_13_13 = e2
% 9.22/2.73 |
% 9.22/2.73 | Equations (234) can reduce 37 to:
% 9.22/2.73 | (228) ~ (all_0_15_15 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Simplifying 228 yields:
% 9.22/2.73 | (229) ~ (all_0_15_15 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Equations (234) can reduce 106 to:
% 9.22/2.73 | (237) ~ (all_0_16_16 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Simplifying 237 yields:
% 9.22/2.73 | (238) ~ (all_0_16_16 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Equations (234) can reduce 169 to:
% 9.22/2.73 | (239) ~ (e3 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Simplifying 239 yields:
% 9.22/2.73 | (194) ~ (e3 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Equations (234) can reduce 44 to:
% 9.22/2.73 | (55) ~ (e2 = e0)
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (219), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (242) ~ (all_0_20_20 = e2)
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (46), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (243) ~ (all_0_5_5 = e2)
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (191), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (244) ~ (all_0_20_20 = e4)
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (36), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (245) ~ (all_0_5_5 = e0)
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (149), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (246), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (247), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (248), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.22/2.73 |
% 9.22/2.73 +-Applying beta-rule and splitting (249), into two cases.
% 9.22/2.73 |-Branch one:
% 9.22/2.73 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.22/2.73 |
% 9.22/2.73 | Applying alpha-rule on (250) yields:
% 9.22/2.73 | (251) all_0_0_0 = e0
% 9.22/2.73 | (252) all_0_20_20 = e4
% 9.22/2.73 | (253) ~ (all_0_3_3 = e4)
% 9.22/2.73 |
% 9.22/2.73 | Equations (252) can reduce 244 to:
% 9.22/2.73 | (254) $false
% 9.22/2.73 |
% 9.22/2.73 |-The branch is then unsatisfiable
% 9.22/2.73 |-Branch two:
% 9.22/2.73 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.22/2.73 |
% 9.22/2.73 | Applying alpha-rule on (255) yields:
% 9.22/2.73 | (251) all_0_0_0 = e0
% 9.22/2.73 | (252) all_0_20_20 = e4
% 9.22/2.73 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.73 |
% 9.22/2.73 | Equations (252) can reduce 244 to:
% 9.22/2.73 | (254) $false
% 9.22/2.73 |
% 9.22/2.73 |-The branch is then unsatisfiable
% 9.22/2.73 |-Branch two:
% 9.22/2.73 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.22/2.73 |
% 9.22/2.73 | Applying alpha-rule on (260) yields:
% 9.22/2.73 | (261) all_0_5_5 = e0
% 9.22/2.73 | (262) all_0_20_20 = e3
% 9.22/2.73 | (263) ~ (all_0_8_8 = e3)
% 9.22/2.73 |
% 9.22/2.73 | Equations (261) can reduce 245 to:
% 9.22/2.73 | (254) $false
% 9.22/2.73 |
% 9.22/2.73 |-The branch is then unsatisfiable
% 9.22/2.73 |-Branch two:
% 9.22/2.73 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.22/2.73 |
% 9.22/2.73 | Applying alpha-rule on (265) yields:
% 9.22/2.73 | (261) all_0_5_5 = e0
% 9.22/2.73 | (262) all_0_20_20 = e3
% 9.22/2.73 | (268) ~ (all_0_17_17 = e0)
% 9.22/2.73 |
% 9.22/2.73 | Equations (261) can reduce 245 to:
% 9.22/2.73 | (254) $false
% 9.22/2.73 |
% 9.22/2.73 |-The branch is then unsatisfiable
% 9.22/2.73 |-Branch two:
% 9.22/2.73 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Applying alpha-rule on (270) yields:
% 9.22/2.73 | (271) all_0_10_10 = e0
% 9.22/2.73 | (272) all_0_20_20 = e2
% 9.22/2.73 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.73 |
% 9.22/2.73 | Combining equations (271,222) yields a new equation:
% 9.22/2.73 | (274) e2 = e0
% 9.22/2.73 |
% 9.22/2.73 | Equations (274) can reduce 55 to:
% 9.22/2.73 | (254) $false
% 9.22/2.73 |
% 9.22/2.73 |-The branch is then unsatisfiable
% 9.22/2.73 |-Branch two:
% 9.22/2.73 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Applying alpha-rule on (276) yields:
% 9.22/2.74 | (271) all_0_10_10 = e0
% 9.22/2.74 | (272) all_0_20_20 = e2
% 9.22/2.74 | (279) ~ (all_0_18_18 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Combining equations (271,222) yields a new equation:
% 9.22/2.74 | (274) e2 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (274) can reduce 55 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (261) all_0_5_5 = e0
% 9.22/2.74 | (283) all_0_8_8 = e3
% 9.22/2.74 |
% 9.22/2.74 | Equations (261) can reduce 51 to:
% 9.22/2.74 | (284) ~ (all_0_4_4 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Equations (261) can reduce 24 to:
% 9.22/2.74 | (285) ~ (all_0_6_6 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Simplifying 285 yields:
% 9.22/2.74 | (286) ~ (all_0_6_6 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Equations (261) can reduce 107 to:
% 9.22/2.74 | (287) ~ (all_0_9_9 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Simplifying 287 yields:
% 9.22/2.74 | (288) ~ (all_0_9_9 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Equations (261) can reduce 243 to:
% 9.22/2.74 | (289) ~ (e2 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Simplifying 289 yields:
% 9.22/2.74 | (55) ~ (e2 = e0)
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (102), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (291) all_0_3_3 = e2
% 9.22/2.74 |
% 9.22/2.74 | Equations (291) can reduce 4 to:
% 9.22/2.74 | (226) ~ (all_0_12_12 = e2)
% 9.22/2.74 |
% 9.22/2.74 | Simplifying 226 yields:
% 9.22/2.74 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (97), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (71), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (251) all_0_0_0 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (251) can reduce 294 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.74 | (298) all_0_0_0 = e4
% 9.22/2.74 |
% 9.22/2.74 | Equations (298) can reduce 294 to:
% 9.22/2.74 | (6) ~ (e4 = e0)
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (204), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (300) all_0_9_9 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (300) can reduce 288 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (288) ~ (all_0_9_9 = e0)
% 9.22/2.74 | (303) all_0_10_10 = e0 | all_0_12_12 = e0
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (303), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (271) all_0_10_10 = e0
% 9.22/2.74 |
% 9.22/2.74 | Combining equations (222,271) yields a new equation:
% 9.22/2.74 | (305) e2 = e0
% 9.22/2.74 |
% 9.22/2.74 | Simplifying 305 yields:
% 9.22/2.74 | (274) e2 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (274) can reduce 55 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (221) ~ (all_0_10_10 = e0)
% 9.22/2.74 | (309) all_0_12_12 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (309) can reduce 227 to:
% 9.22/2.74 | (289) ~ (e2 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Simplifying 289 yields:
% 9.22/2.74 | (55) ~ (e2 = e0)
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (188), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (312) all_0_6_6 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (312) can reduce 286 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (286) ~ (all_0_6_6 = e0)
% 9.22/2.74 | (315) all_0_10_10 = e0 | all_0_18_18 = e0
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (315), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (271) all_0_10_10 = e0
% 9.22/2.74 |
% 9.22/2.74 | Combining equations (271,222) yields a new equation:
% 9.22/2.74 | (274) e2 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (274) can reduce 55 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (221) ~ (all_0_10_10 = e0)
% 9.22/2.74 | (320) all_0_18_18 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (320) can reduce 52 to:
% 9.22/2.74 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (101), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (251) all_0_0_0 = e0
% 9.22/2.74 |
% 9.22/2.74 | Combining equations (251,298) yields a new equation:
% 9.22/2.74 | (323) e4 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (323) can reduce 6 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.74 | (326) all_0_1_1 = e0 | all_0_3_3 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (298) can reduce 294 to:
% 9.22/2.74 | (6) ~ (e4 = e0)
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (140), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (251) all_0_0_0 = e0
% 9.22/2.74 |
% 9.22/2.74 | Combining equations (251,298) yields a new equation:
% 9.22/2.74 | (323) e4 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (323) can reduce 6 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.74 | (332) all_0_4_4 = e0 | all_0_16_16 = e0
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (332), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (333) all_0_4_4 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (333) can reduce 284 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (284) ~ (all_0_4_4 = e0)
% 9.22/2.74 | (336) all_0_16_16 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (336) can reduce 258 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (251) all_0_0_0 = e0
% 9.22/2.74 | (339) all_0_3_3 = e4
% 9.22/2.74 |
% 9.22/2.74 | Combining equations (291,339) yields a new equation:
% 9.22/2.74 | (340) e4 = e2
% 9.22/2.74 |
% 9.22/2.74 | Equations (340) can reduce 203 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (342) ~ (all_0_3_3 = e2)
% 9.22/2.74 | (343) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (343), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (344) all_0_8_8 = e2
% 9.22/2.74 |
% 9.22/2.74 | Combining equations (283,344) yields a new equation:
% 9.22/2.74 | (345) e3 = e2
% 9.22/2.74 |
% 9.22/2.74 | Simplifying 345 yields:
% 9.22/2.74 | (346) e3 = e2
% 9.22/2.74 |
% 9.22/2.74 | Equations (346) can reduce 194 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (348) ~ (all_0_8_8 = e2)
% 9.22/2.74 | (349) all_0_12_12 = e2 | all_0_20_20 = e2
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (349), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (350) all_0_12_12 = e2
% 9.22/2.74 |
% 9.22/2.74 | Equations (350) can reduce 227 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.74 | (272) all_0_20_20 = e2
% 9.22/2.74 |
% 9.22/2.74 | Equations (272) can reduce 242 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (252) all_0_20_20 = e4
% 9.22/2.74 | (336) all_0_16_16 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (336) can reduce 142 to:
% 9.22/2.74 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Equations (336) can reduce 238 to:
% 9.22/2.74 | (289) ~ (e2 = e0)
% 9.22/2.74 |
% 9.22/2.74 | Simplifying 289 yields:
% 9.22/2.74 | (55) ~ (e2 = e0)
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (71), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (251) all_0_0_0 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (251) can reduce 294 to:
% 9.22/2.74 | (254) $false
% 9.22/2.74 |
% 9.22/2.74 |-The branch is then unsatisfiable
% 9.22/2.74 |-Branch two:
% 9.22/2.74 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.74 | (298) all_0_0_0 = e4
% 9.22/2.74 |
% 9.22/2.74 | Equations (298) can reduce 170 to:
% 9.22/2.74 | (30) ~ (e4 = e3)
% 9.22/2.74 |
% 9.22/2.74 | Equations (298) can reduce 294 to:
% 9.22/2.74 | (6) ~ (e4 = e0)
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (149), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (246), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (247), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (248), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.22/2.74 |
% 9.22/2.74 +-Applying beta-rule and splitting (249), into two cases.
% 9.22/2.74 |-Branch one:
% 9.22/2.74 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.22/2.74 |
% 9.22/2.74 | Applying alpha-rule on (250) yields:
% 9.22/2.74 | (251) all_0_0_0 = e0
% 9.22/2.74 | (252) all_0_20_20 = e4
% 9.22/2.74 | (253) ~ (all_0_3_3 = e4)
% 9.22/2.74 |
% 9.22/2.74 | Combining equations (251,298) yields a new equation:
% 9.22/2.74 | (323) e4 = e0
% 9.22/2.74 |
% 9.22/2.74 | Equations (323) can reduce 6 to:
% 9.22/2.74 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Applying alpha-rule on (255) yields:
% 9.22/2.75 | (251) all_0_0_0 = e0
% 9.22/2.75 | (252) all_0_20_20 = e4
% 9.22/2.75 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (251,298) yields a new equation:
% 9.22/2.75 | (323) e4 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (323) can reduce 6 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.22/2.75 |
% 9.22/2.75 | Applying alpha-rule on (260) yields:
% 9.22/2.75 | (261) all_0_5_5 = e0
% 9.22/2.75 | (262) all_0_20_20 = e3
% 9.22/2.75 | (263) ~ (all_0_8_8 = e3)
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (262,252) yields a new equation:
% 9.22/2.75 | (386) e4 = e3
% 9.22/2.75 |
% 9.22/2.75 | Equations (386) can reduce 30 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Applying alpha-rule on (265) yields:
% 9.22/2.75 | (261) all_0_5_5 = e0
% 9.22/2.75 | (262) all_0_20_20 = e3
% 9.22/2.75 | (268) ~ (all_0_17_17 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (262,252) yields a new equation:
% 9.22/2.75 | (386) e4 = e3
% 9.22/2.75 |
% 9.22/2.75 | Equations (386) can reduce 30 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.22/2.75 |
% 9.22/2.75 | Applying alpha-rule on (270) yields:
% 9.22/2.75 | (271) all_0_10_10 = e0
% 9.22/2.75 | (272) all_0_20_20 = e2
% 9.22/2.75 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (222,271) yields a new equation:
% 9.22/2.75 | (305) e2 = e0
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 305 yields:
% 9.22/2.75 | (274) e2 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (274) can reduce 55 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Applying alpha-rule on (276) yields:
% 9.22/2.75 | (271) all_0_10_10 = e0
% 9.22/2.75 | (272) all_0_20_20 = e2
% 9.22/2.75 | (279) ~ (all_0_18_18 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (222,271) yields a new equation:
% 9.22/2.75 | (305) e2 = e0
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 305 yields:
% 9.22/2.75 | (274) e2 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (274) can reduce 55 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (408) all_0_5_5 = e2
% 9.22/2.75 | (409) all_0_6_6 = e3
% 9.22/2.75 |
% 9.22/2.75 | Equations (408) can reduce 115 to:
% 9.22/2.75 | (410) ~ (all_0_8_8 = e2)
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 410 yields:
% 9.22/2.75 | (348) ~ (all_0_8_8 = e2)
% 9.22/2.75 |
% 9.22/2.75 | Equations (408) can reduce 107 to:
% 9.22/2.75 | (412) ~ (all_0_9_9 = e2)
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 412 yields:
% 9.22/2.75 | (413) ~ (all_0_9_9 = e2)
% 9.22/2.75 |
% 9.22/2.75 | Equations (408) can reduce 196 to:
% 9.22/2.75 | (414) ~ (all_0_14_14 = e2)
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 414 yields:
% 9.22/2.75 | (415) ~ (all_0_14_14 = e2)
% 9.22/2.75 |
% 9.22/2.75 | Equations (409) can reduce 120 to:
% 9.22/2.75 | (416) ~ (all_0_15_15 = e3)
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 416 yields:
% 9.22/2.75 | (417) ~ (all_0_15_15 = e3)
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (103), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (418) all_0_15_15 = e2
% 9.22/2.75 |
% 9.22/2.75 | Equations (418) can reduce 229 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (229) ~ (all_0_15_15 = e2)
% 9.22/2.75 | (421) all_0_15_15 = e4 | all_0_15_15 = e3
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (421), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (422) all_0_15_15 = e4
% 9.22/2.75 |
% 9.22/2.75 | Equations (422) can reduce 189 to:
% 9.22/2.75 | (423) ~ (all_0_14_14 = e4)
% 9.22/2.75 |
% 9.22/2.75 | Equations (422) can reduce 229 to:
% 9.22/2.75 | (203) ~ (e4 = e2)
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (148), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (425) all_0_14_14 = e2
% 9.22/2.75 |
% 9.22/2.75 | Equations (425) can reduce 415 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (415) ~ (all_0_14_14 = e2)
% 9.22/2.75 | (428) all_0_14_14 = e4 | all_0_14_14 = e3
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (428), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (429) all_0_14_14 = e4
% 9.22/2.75 |
% 9.22/2.75 | Equations (429) can reduce 423 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (423) ~ (all_0_14_14 = e4)
% 9.22/2.75 | (432) all_0_14_14 = e3
% 9.22/2.75 |
% 9.22/2.75 | Equations (432) can reduce 80 to:
% 9.22/2.75 | (63) ~ (e3 = e0)
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (188), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (312) all_0_6_6 = e0
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (312,409) yields a new equation:
% 9.22/2.75 | (435) e3 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (435) can reduce 63 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (286) ~ (all_0_6_6 = e0)
% 9.22/2.75 | (315) all_0_10_10 = e0 | all_0_18_18 = e0
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (315), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (271) all_0_10_10 = e0
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (222,271) yields a new equation:
% 9.22/2.75 | (305) e2 = e0
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 305 yields:
% 9.22/2.75 | (274) e2 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (274) can reduce 55 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (221) ~ (all_0_10_10 = e0)
% 9.22/2.75 | (320) all_0_18_18 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (320) can reduce 52 to:
% 9.22/2.75 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Equations (320) can reduce 119 to:
% 9.22/2.75 | (446) ~ (all_0_19_19 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 446 yields:
% 9.22/2.75 | (72) ~ (all_0_19_19 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Equations (320) can reduce 64 to:
% 9.22/2.75 | (448) ~ (e1 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 448 yields:
% 9.22/2.75 | (125) ~ (e1 = e0)
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (102), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (291) all_0_3_3 = e2
% 9.22/2.75 |
% 9.22/2.75 | Equations (291) can reduce 47 to:
% 9.22/2.75 | (451) ~ (all_0_2_2 = e2)
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (97), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (140), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (251) all_0_0_0 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (251) can reduce 294 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.75 | (332) all_0_4_4 = e0 | all_0_16_16 = e0
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (332), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (333) all_0_4_4 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (333) can reduce 122 to:
% 9.22/2.75 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Equations (333) can reduce 116 to:
% 9.22/2.75 | (459) ~ (all_0_16_16 = e0)
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 459 yields:
% 9.22/2.75 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (94), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (461) all_0_4_4 = e1
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (461,333) yields a new equation:
% 9.22/2.75 | (462) e1 = e0
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 462 yields:
% 9.22/2.75 | (463) e1 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (463) can reduce 125 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (465) ~ (all_0_4_4 = e1)
% 9.22/2.75 | (466) all_0_16_16 = e1
% 9.22/2.75 |
% 9.22/2.75 | Equations (466) can reduce 238 to:
% 9.22/2.75 | (467) ~ (e2 = e1)
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 467 yields:
% 9.22/2.75 | (131) ~ (e2 = e1)
% 9.22/2.75 |
% 9.22/2.75 | Equations (466) can reduce 258 to:
% 9.22/2.75 | (125) ~ (e1 = e0)
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (206), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (461) all_0_4_4 = e1
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (461,333) yields a new equation:
% 9.22/2.75 | (462) e1 = e0
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 462 yields:
% 9.22/2.75 | (463) e1 = e0
% 9.22/2.75 |
% 9.22/2.75 | Equations (463) can reduce 125 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (465) ~ (all_0_4_4 = e1)
% 9.22/2.75 | (475) all_0_5_5 = e1 | all_0_7_7 = e1
% 9.22/2.75 |
% 9.22/2.75 +-Applying beta-rule and splitting (475), into two cases.
% 9.22/2.75 |-Branch one:
% 9.22/2.75 | (476) all_0_5_5 = e1
% 9.22/2.75 |
% 9.22/2.75 | Combining equations (408,476) yields a new equation:
% 9.22/2.75 | (477) e2 = e1
% 9.22/2.75 |
% 9.22/2.75 | Simplifying 477 yields:
% 9.22/2.75 | (478) e2 = e1
% 9.22/2.75 |
% 9.22/2.75 | Equations (478) can reduce 131 to:
% 9.22/2.75 | (254) $false
% 9.22/2.75 |
% 9.22/2.75 |-The branch is then unsatisfiable
% 9.22/2.75 |-Branch two:
% 9.22/2.75 | (480) ~ (all_0_5_5 = e1)
% 9.22/2.76 | (481) all_0_7_7 = e1
% 9.22/2.76 |
% 9.22/2.76 | Equations (481) can reduce 42 to:
% 9.22/2.76 | (482) ~ (all_0_11_11 = e1)
% 9.22/2.76 |
% 9.22/2.76 | Simplifying 482 yields:
% 9.22/2.76 | (483) ~ (all_0_11_11 = e1)
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (207), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (484) all_0_11_11 = e2
% 9.22/2.76 |
% 9.22/2.76 | Equations (484) can reduce 225 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (225) ~ (all_0_11_11 = e2)
% 9.22/2.76 | (487) all_0_11_11 = e4 | all_0_11_11 = e1
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (71), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (251) all_0_0_0 = e0
% 9.22/2.76 |
% 9.22/2.76 | Equations (251) can reduce 294 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.76 | (298) all_0_0_0 = e4
% 9.22/2.76 |
% 9.22/2.76 | Equations (298) can reduce 294 to:
% 9.22/2.76 | (6) ~ (e4 = e0)
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (180), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (493) all_0_9_9 = e1
% 9.22/2.76 |
% 9.22/2.76 | Equations (493) can reduce 413 to:
% 9.22/2.76 | (467) ~ (e2 = e1)
% 9.22/2.76 |
% 9.22/2.76 | Simplifying 467 yields:
% 9.22/2.76 | (131) ~ (e2 = e1)
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (192), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (496) all_0_2_2 = e2
% 9.22/2.76 |
% 9.22/2.76 | Equations (496) can reduce 451 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (451) ~ (all_0_2_2 = e2)
% 9.22/2.76 | (499) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (499), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (500) all_0_7_7 = e2
% 9.22/2.76 |
% 9.22/2.76 | Combining equations (500,481) yields a new equation:
% 9.22/2.76 | (477) e2 = e1
% 9.22/2.76 |
% 9.22/2.76 | Simplifying 477 yields:
% 9.22/2.76 | (478) e2 = e1
% 9.22/2.76 |
% 9.22/2.76 | Equations (478) can reduce 131 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (504) ~ (all_0_7_7 = e2)
% 9.22/2.76 | (505) all_0_11_11 = e2 | all_0_19_19 = e2
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (505), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (484) all_0_11_11 = e2
% 9.22/2.76 |
% 9.22/2.76 | Equations (484) can reduce 225 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (225) ~ (all_0_11_11 = e2)
% 9.22/2.76 | (509) all_0_19_19 = e2
% 9.22/2.76 |
% 9.22/2.76 | Equations (509) can reduce 72 to:
% 9.22/2.76 | (55) ~ (e2 = e0)
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (149), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (246), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (247), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (248), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (249), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.22/2.76 |
% 9.22/2.76 | Applying alpha-rule on (250) yields:
% 9.22/2.76 | (251) all_0_0_0 = e0
% 9.22/2.76 | (252) all_0_20_20 = e4
% 9.22/2.76 | (253) ~ (all_0_3_3 = e4)
% 9.22/2.76 |
% 9.22/2.76 | Combining equations (251,298) yields a new equation:
% 9.22/2.76 | (323) e4 = e0
% 9.22/2.76 |
% 9.22/2.76 | Equations (323) can reduce 6 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.22/2.76 |
% 9.22/2.76 | Applying alpha-rule on (255) yields:
% 9.22/2.76 | (251) all_0_0_0 = e0
% 9.22/2.76 | (252) all_0_20_20 = e4
% 9.22/2.76 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.76 |
% 9.22/2.76 | Combining equations (251,298) yields a new equation:
% 9.22/2.76 | (323) e4 = e0
% 9.22/2.76 |
% 9.22/2.76 | Equations (323) can reduce 6 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.22/2.76 |
% 9.22/2.76 | Applying alpha-rule on (260) yields:
% 9.22/2.76 | (261) all_0_5_5 = e0
% 9.22/2.76 | (262) all_0_20_20 = e3
% 9.22/2.76 | (263) ~ (all_0_8_8 = e3)
% 9.22/2.76 |
% 9.22/2.76 | Combining equations (261,408) yields a new equation:
% 9.22/2.76 | (274) e2 = e0
% 9.22/2.76 |
% 9.22/2.76 | Equations (274) can reduce 55 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.22/2.76 |
% 9.22/2.76 | Applying alpha-rule on (265) yields:
% 9.22/2.76 | (261) all_0_5_5 = e0
% 9.22/2.76 | (262) all_0_20_20 = e3
% 9.22/2.76 | (268) ~ (all_0_17_17 = e0)
% 9.22/2.76 |
% 9.22/2.76 | Combining equations (261,408) yields a new equation:
% 9.22/2.76 | (274) e2 = e0
% 9.22/2.76 |
% 9.22/2.76 | Equations (274) can reduce 55 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.22/2.76 |
% 9.22/2.76 | Applying alpha-rule on (270) yields:
% 9.22/2.76 | (271) all_0_10_10 = e0
% 9.22/2.76 | (272) all_0_20_20 = e2
% 9.22/2.76 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.76 |
% 9.22/2.76 | Combining equations (271,222) yields a new equation:
% 9.22/2.76 | (274) e2 = e0
% 9.22/2.76 |
% 9.22/2.76 | Equations (274) can reduce 55 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.22/2.76 |
% 9.22/2.76 | Applying alpha-rule on (276) yields:
% 9.22/2.76 | (271) all_0_10_10 = e0
% 9.22/2.76 | (272) all_0_20_20 = e2
% 9.22/2.76 | (279) ~ (all_0_18_18 = e0)
% 9.22/2.76 |
% 9.22/2.76 | Combining equations (271,222) yields a new equation:
% 9.22/2.76 | (274) e2 = e0
% 9.22/2.76 |
% 9.22/2.76 | Equations (274) can reduce 55 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (551) ~ (all_0_9_9 = e1)
% 9.22/2.76 | (552) all_0_11_11 = e1
% 9.22/2.76 |
% 9.22/2.76 | Equations (552) can reduce 483 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (284) ~ (all_0_4_4 = e0)
% 9.22/2.76 | (336) all_0_16_16 = e0
% 9.22/2.76 |
% 9.22/2.76 | Equations (336) can reduce 258 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (251) all_0_0_0 = e0
% 9.22/2.76 | (339) all_0_3_3 = e4
% 9.22/2.76 |
% 9.22/2.76 | Combining equations (339,291) yields a new equation:
% 9.22/2.76 | (559) e4 = e2
% 9.22/2.76 |
% 9.22/2.76 | Simplifying 559 yields:
% 9.22/2.76 | (340) e4 = e2
% 9.22/2.76 |
% 9.22/2.76 | Equations (340) can reduce 203 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (342) ~ (all_0_3_3 = e2)
% 9.22/2.76 | (343) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (343), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (344) all_0_8_8 = e2
% 9.22/2.76 |
% 9.22/2.76 | Equations (344) can reduce 348 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (348) ~ (all_0_8_8 = e2)
% 9.22/2.76 | (349) all_0_12_12 = e2 | all_0_20_20 = e2
% 9.22/2.76 |
% 9.22/2.76 +-Applying beta-rule and splitting (349), into two cases.
% 9.22/2.76 |-Branch one:
% 9.22/2.76 | (350) all_0_12_12 = e2
% 9.22/2.76 |
% 9.22/2.76 | Equations (350) can reduce 227 to:
% 9.22/2.76 | (254) $false
% 9.22/2.76 |
% 9.22/2.76 |-The branch is then unsatisfiable
% 9.22/2.76 |-Branch two:
% 9.22/2.76 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.77 | (272) all_0_20_20 = e2
% 9.22/2.77 |
% 9.22/2.77 | Equations (272) can reduce 242 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (573) ~ (all_0_15_15 = e4)
% 9.22/2.77 | (574) all_0_15_15 = e3
% 9.22/2.77 |
% 9.22/2.77 | Equations (574) can reduce 417 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (272) all_0_20_20 = e2
% 9.22/2.77 | (320) all_0_18_18 = e0
% 9.22/2.77 |
% 9.22/2.77 | Equations (320) can reduce 231 to:
% 9.22/2.77 | (289) ~ (e2 = e0)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 289 yields:
% 9.22/2.77 | (55) ~ (e2 = e0)
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (149), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (246), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (247), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (248), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (249), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Applying alpha-rule on (250) yields:
% 9.22/2.77 | (251) all_0_0_0 = e0
% 9.22/2.77 | (252) all_0_20_20 = e4
% 9.22/2.77 | (253) ~ (all_0_3_3 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Combining equations (252,272) yields a new equation:
% 9.22/2.77 | (559) e4 = e2
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 559 yields:
% 9.22/2.77 | (340) e4 = e2
% 9.22/2.77 |
% 9.22/2.77 | Equations (340) can reduce 203 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.22/2.77 |
% 9.22/2.77 | Applying alpha-rule on (255) yields:
% 9.22/2.77 | (251) all_0_0_0 = e0
% 9.22/2.77 | (252) all_0_20_20 = e4
% 9.22/2.77 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.77 |
% 9.22/2.77 | Combining equations (252,272) yields a new equation:
% 9.22/2.77 | (559) e4 = e2
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 559 yields:
% 9.22/2.77 | (340) e4 = e2
% 9.22/2.77 |
% 9.22/2.77 | Equations (340) can reduce 203 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.22/2.77 |
% 9.22/2.77 | Applying alpha-rule on (260) yields:
% 9.22/2.77 | (261) all_0_5_5 = e0
% 9.22/2.77 | (262) all_0_20_20 = e3
% 9.22/2.77 | (263) ~ (all_0_8_8 = e3)
% 9.22/2.77 |
% 9.22/2.77 | Combining equations (262,272) yields a new equation:
% 9.22/2.77 | (345) e3 = e2
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 345 yields:
% 9.22/2.77 | (346) e3 = e2
% 9.22/2.77 |
% 9.22/2.77 | Equations (346) can reduce 194 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.22/2.77 |
% 9.22/2.77 | Applying alpha-rule on (265) yields:
% 9.22/2.77 | (261) all_0_5_5 = e0
% 9.22/2.77 | (262) all_0_20_20 = e3
% 9.22/2.77 | (268) ~ (all_0_17_17 = e0)
% 9.22/2.77 |
% 9.22/2.77 | Combining equations (262,272) yields a new equation:
% 9.22/2.77 | (345) e3 = e2
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 345 yields:
% 9.22/2.77 | (346) e3 = e2
% 9.22/2.77 |
% 9.22/2.77 | Equations (346) can reduce 194 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.22/2.77 |
% 9.22/2.77 | Applying alpha-rule on (270) yields:
% 9.22/2.77 | (271) all_0_10_10 = e0
% 9.22/2.77 | (272) all_0_20_20 = e2
% 9.22/2.77 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.77 |
% 9.22/2.77 | Combining equations (271,222) yields a new equation:
% 9.22/2.77 | (274) e2 = e0
% 9.22/2.77 |
% 9.22/2.77 | Equations (274) can reduce 55 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.22/2.77 |
% 9.22/2.77 | Applying alpha-rule on (276) yields:
% 9.22/2.77 | (271) all_0_10_10 = e0
% 9.22/2.77 | (272) all_0_20_20 = e2
% 9.22/2.77 | (279) ~ (all_0_18_18 = e0)
% 9.22/2.77 |
% 9.22/2.77 | Combining equations (271,222) yields a new equation:
% 9.22/2.77 | (274) e2 = e0
% 9.22/2.77 |
% 9.22/2.77 | Equations (274) can reduce 55 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (624) ~ (all_0_13_13 = e2)
% 9.22/2.77 | (625) all_0_13_13 = e4
% 9.22/2.77 |
% 9.22/2.77 | Equations (625) can reduce 211 to:
% 9.22/2.77 | (626) ~ (all_0_0_0 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Equations (625) can reduce 87 to:
% 9.22/2.77 | (627) ~ (all_0_14_14 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 627 yields:
% 9.22/2.77 | (423) ~ (all_0_14_14 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Equations (625) can reduce 37 to:
% 9.22/2.77 | (629) ~ (all_0_15_15 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 629 yields:
% 9.22/2.77 | (573) ~ (all_0_15_15 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Equations (625) can reduce 106 to:
% 9.22/2.77 | (631) ~ (all_0_16_16 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 631 yields:
% 9.22/2.77 | (632) ~ (all_0_16_16 = e4)
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (103), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (418) all_0_15_15 = e2
% 9.22/2.77 |
% 9.22/2.77 | Equations (418) can reduce 229 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (229) ~ (all_0_15_15 = e2)
% 9.22/2.77 | (421) all_0_15_15 = e4 | all_0_15_15 = e3
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (421), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (422) all_0_15_15 = e4
% 9.22/2.77 |
% 9.22/2.77 | Equations (422) can reduce 573 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (573) ~ (all_0_15_15 = e4)
% 9.22/2.77 | (574) all_0_15_15 = e3
% 9.22/2.77 |
% 9.22/2.77 | Equations (574) can reduce 189 to:
% 9.22/2.77 | (641) ~ (all_0_14_14 = e3)
% 9.22/2.77 |
% 9.22/2.77 | Equations (574) can reduce 208 to:
% 9.22/2.77 | (642) ~ (all_0_18_18 = e3)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 642 yields:
% 9.22/2.77 | (643) ~ (all_0_18_18 = e3)
% 9.22/2.77 |
% 9.22/2.77 | Equations (574) can reduce 573 to:
% 9.22/2.77 | (644) ~ (e4 = e3)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 644 yields:
% 9.22/2.77 | (30) ~ (e4 = e3)
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (148), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (425) all_0_14_14 = e2
% 9.22/2.77 |
% 9.22/2.77 | Equations (425) can reduce 40 to:
% 9.22/2.77 | (647) ~ (all_0_1_1 = e2)
% 9.22/2.77 |
% 9.22/2.77 | Equations (425) can reduce 423 to:
% 9.22/2.77 | (232) ~ (e4 = e2)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 232 yields:
% 9.22/2.77 | (203) ~ (e4 = e2)
% 9.22/2.77 |
% 9.22/2.77 | Equations (425) can reduce 641 to:
% 9.22/2.77 | (239) ~ (e3 = e2)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 239 yields:
% 9.22/2.77 | (194) ~ (e3 = e2)
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (71), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (251) all_0_0_0 = e0
% 9.22/2.77 |
% 9.22/2.77 | Equations (251) can reduce 122 to:
% 9.22/2.77 | (653) ~ (all_0_4_4 = e0)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 653 yields:
% 9.22/2.77 | (284) ~ (all_0_4_4 = e0)
% 9.22/2.77 |
% 9.22/2.77 +-Applying beta-rule and splitting (97), into two cases.
% 9.22/2.77 |-Branch one:
% 9.22/2.77 | (294) ~ (all_0_0_0 = e0)
% 9.22/2.77 |
% 9.22/2.77 | Equations (251) can reduce 294 to:
% 9.22/2.77 | (254) $false
% 9.22/2.77 |
% 9.22/2.77 |-The branch is then unsatisfiable
% 9.22/2.77 |-Branch two:
% 9.22/2.77 | (251) all_0_0_0 = e0
% 9.22/2.77 | (339) all_0_3_3 = e4
% 9.22/2.77 |
% 9.22/2.77 | Equations (339) can reduce 47 to:
% 9.22/2.77 | (659) ~ (all_0_2_2 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Equations (339) can reduce 4 to:
% 9.22/2.77 | (660) ~ (all_0_12_12 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Simplifying 660 yields:
% 9.22/2.77 | (661) ~ (all_0_12_12 = e4)
% 9.22/2.77 |
% 9.22/2.77 | Equations (339) can reduce 155 to:
% 9.22/2.77 | (662) ~ (all_0_20_20 = e4)
% 9.22/2.78 |
% 9.22/2.78 | Simplifying 662 yields:
% 9.22/2.78 | (244) ~ (all_0_20_20 = e4)
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (96), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (664) all_0_1_1 = e2
% 9.22/2.78 |
% 9.22/2.78 | Equations (664) can reduce 647 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (647) ~ (all_0_1_1 = e2)
% 9.22/2.78 | (667) all_0_2_2 = e2 | all_0_3_3 = e2
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (13), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (350) all_0_12_12 = e2
% 9.22/2.78 |
% 9.22/2.78 | Equations (350) can reduce 227 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.78 | (671) all_0_12_12 = e4 | all_0_12_12 = e0
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (667), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (496) all_0_2_2 = e2
% 9.22/2.78 |
% 9.22/2.78 | Equations (496) can reduce 146 to:
% 9.22/2.78 | (647) ~ (all_0_1_1 = e2)
% 9.22/2.78 |
% 9.22/2.78 | Equations (496) can reduce 95 to:
% 9.22/2.78 | (224) ~ (all_0_11_11 = e2)
% 9.22/2.78 |
% 9.22/2.78 | Simplifying 224 yields:
% 9.22/2.78 | (225) ~ (all_0_11_11 = e2)
% 9.22/2.78 |
% 9.22/2.78 | Equations (496) can reduce 659 to:
% 9.22/2.78 | (232) ~ (e4 = e2)
% 9.22/2.78 |
% 9.22/2.78 | Simplifying 232 yields:
% 9.22/2.78 | (203) ~ (e4 = e2)
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (671), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (309) all_0_12_12 = e0
% 9.22/2.78 |
% 9.22/2.78 | Equations (309) can reduce 141 to:
% 9.22/2.78 | (679) ~ (all_0_8_8 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Equations (309) can reduce 179 to:
% 9.22/2.78 | (288) ~ (all_0_9_9 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Equations (309) can reduce 227 to:
% 9.22/2.78 | (289) ~ (e2 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Simplifying 289 yields:
% 9.22/2.78 | (55) ~ (e2 = e0)
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (23), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (683) all_0_1_1 = e3
% 9.22/2.78 |
% 9.22/2.78 | Equations (683) can reduce 190 to:
% 9.22/2.78 | (684) ~ (all_0_17_17 = e3)
% 9.22/2.78 |
% 9.22/2.78 | Simplifying 684 yields:
% 9.22/2.78 | (685) ~ (all_0_17_17 = e3)
% 9.22/2.78 |
% 9.22/2.78 | Equations (683) can reduce 647 to:
% 9.22/2.78 | (194) ~ (e3 = e2)
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (219), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (242) ~ (all_0_20_20 = e2)
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (102), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (291) all_0_3_3 = e2
% 9.22/2.78 |
% 9.22/2.78 | Combining equations (291,339) yields a new equation:
% 9.22/2.78 | (340) e4 = e2
% 9.22/2.78 |
% 9.22/2.78 | Equations (340) can reduce 203 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (342) ~ (all_0_3_3 = e2)
% 9.22/2.78 | (343) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (202), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (272) all_0_20_20 = e2
% 9.22/2.78 |
% 9.22/2.78 | Equations (272) can reduce 242 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (242) ~ (all_0_20_20 = e2)
% 9.22/2.78 | (696) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (343), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (344) all_0_8_8 = e2
% 9.22/2.78 |
% 9.22/2.78 | Equations (344) can reduce 679 to:
% 9.22/2.78 | (55) ~ (e2 = e0)
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (36), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (245) ~ (all_0_5_5 = e0)
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (149), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (246), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (247), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (248), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (249), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.22/2.78 |
% 9.22/2.78 | Applying alpha-rule on (250) yields:
% 9.22/2.78 | (251) all_0_0_0 = e0
% 9.22/2.78 | (252) all_0_20_20 = e4
% 9.22/2.78 | (253) ~ (all_0_3_3 = e4)
% 9.22/2.78 |
% 9.22/2.78 | Equations (252) can reduce 244 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Applying alpha-rule on (255) yields:
% 9.22/2.78 | (251) all_0_0_0 = e0
% 9.22/2.78 | (252) all_0_20_20 = e4
% 9.22/2.78 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Equations (252) can reduce 244 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.22/2.78 |
% 9.22/2.78 | Applying alpha-rule on (260) yields:
% 9.22/2.78 | (261) all_0_5_5 = e0
% 9.22/2.78 | (262) all_0_20_20 = e3
% 9.22/2.78 | (263) ~ (all_0_8_8 = e3)
% 9.22/2.78 |
% 9.22/2.78 | Equations (261) can reduce 245 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Applying alpha-rule on (265) yields:
% 9.22/2.78 | (261) all_0_5_5 = e0
% 9.22/2.78 | (262) all_0_20_20 = e3
% 9.22/2.78 | (268) ~ (all_0_17_17 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Equations (261) can reduce 245 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.22/2.78 |
% 9.22/2.78 | Applying alpha-rule on (270) yields:
% 9.22/2.78 | (271) all_0_10_10 = e0
% 9.22/2.78 | (272) all_0_20_20 = e2
% 9.22/2.78 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.78 |
% 9.22/2.78 | Combining equations (222,271) yields a new equation:
% 9.22/2.78 | (305) e2 = e0
% 9.22/2.78 |
% 9.22/2.78 | Simplifying 305 yields:
% 9.22/2.78 | (274) e2 = e0
% 9.22/2.78 |
% 9.22/2.78 | Equations (274) can reduce 55 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Applying alpha-rule on (276) yields:
% 9.22/2.78 | (271) all_0_10_10 = e0
% 9.22/2.78 | (272) all_0_20_20 = e2
% 9.22/2.78 | (279) ~ (all_0_18_18 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Combining equations (222,271) yields a new equation:
% 9.22/2.78 | (305) e2 = e0
% 9.22/2.78 |
% 9.22/2.78 | Simplifying 305 yields:
% 9.22/2.78 | (274) e2 = e0
% 9.22/2.78 |
% 9.22/2.78 | Equations (274) can reduce 55 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (261) all_0_5_5 = e0
% 9.22/2.78 | (283) all_0_8_8 = e3
% 9.22/2.78 |
% 9.22/2.78 | Combining equations (283,344) yields a new equation:
% 9.22/2.78 | (345) e3 = e2
% 9.22/2.78 |
% 9.22/2.78 | Simplifying 345 yields:
% 9.22/2.78 | (346) e3 = e2
% 9.22/2.78 |
% 9.22/2.78 | Equations (346) can reduce 194 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (348) ~ (all_0_8_8 = e2)
% 9.22/2.78 | (349) all_0_12_12 = e2 | all_0_20_20 = e2
% 9.22/2.78 |
% 9.22/2.78 +-Applying beta-rule and splitting (349), into two cases.
% 9.22/2.78 |-Branch one:
% 9.22/2.78 | (350) all_0_12_12 = e2
% 9.22/2.78 |
% 9.22/2.78 | Combining equations (309,350) yields a new equation:
% 9.22/2.78 | (274) e2 = e0
% 9.22/2.78 |
% 9.22/2.78 | Equations (274) can reduce 55 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.78 | (272) all_0_20_20 = e2
% 9.22/2.78 |
% 9.22/2.78 | Equations (272) can reduce 242 to:
% 9.22/2.78 | (254) $false
% 9.22/2.78 |
% 9.22/2.78 |-The branch is then unsatisfiable
% 9.22/2.78 |-Branch two:
% 9.22/2.78 | (272) all_0_20_20 = e2
% 9.22/2.78 | (320) all_0_18_18 = e0
% 9.22/2.78 |
% 9.22/2.78 | Equations (320) can reduce 52 to:
% 9.22/2.78 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.78 |
% 9.22/2.78 | Equations (272) can reduce 82 to:
% 9.22/2.78 | (238) ~ (all_0_16_16 = e2)
% 9.22/2.78 |
% 9.22/2.78 | Equations (320) can reduce 93 to:
% 9.22/2.78 | (268) ~ (all_0_17_17 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Equations (272) can reduce 154 to:
% 9.22/2.79 | (756) ~ (all_0_17_17 = e2)
% 9.22/2.79 |
% 9.22/2.79 | Equations (320) can reduce 643 to:
% 9.22/2.79 | (757) ~ (e3 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 757 yields:
% 9.22/2.79 | (63) ~ (e3 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Equations (272) can reduce 244 to:
% 9.22/2.79 | (232) ~ (e4 = e2)
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 232 yields:
% 9.22/2.79 | (203) ~ (e4 = e2)
% 9.22/2.79 |
% 9.22/2.79 | Equations (272) can reduce 162 to:
% 9.22/2.79 | (131) ~ (e2 = e1)
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (132), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (762) all_0_6_6 = e4
% 9.22/2.79 |
% 9.22/2.79 | Equations (762) can reduce 223 to:
% 9.22/2.79 | (203) ~ (e4 = e2)
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (139), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (764) all_0_4_4 = e2
% 9.22/2.79 |
% 9.22/2.79 | Equations (764) can reduce 51 to:
% 9.22/2.79 | (765) ~ (all_0_5_5 = e2)
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 765 yields:
% 9.22/2.79 | (243) ~ (all_0_5_5 = e2)
% 9.22/2.79 |
% 9.22/2.79 | Equations (764) can reduce 75 to:
% 9.22/2.79 | (410) ~ (all_0_8_8 = e2)
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 410 yields:
% 9.22/2.79 | (348) ~ (all_0_8_8 = e2)
% 9.22/2.79 |
% 9.22/2.79 | Equations (764) can reduce 284 to:
% 9.22/2.79 | (55) ~ (e2 = e0)
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (99), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (770) all_0_17_17 = e3
% 9.22/2.79 |
% 9.22/2.79 | Equations (770) can reduce 685 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (685) ~ (all_0_17_17 = e3)
% 9.22/2.79 | (773) all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (94), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (461) all_0_4_4 = e1
% 9.22/2.79 |
% 9.22/2.79 | Combining equations (461,764) yields a new equation:
% 9.22/2.79 | (478) e2 = e1
% 9.22/2.79 |
% 9.22/2.79 | Equations (478) can reduce 131 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (465) ~ (all_0_4_4 = e1)
% 9.22/2.79 | (466) all_0_16_16 = e1
% 9.22/2.79 |
% 9.22/2.79 | Equations (466) can reduce 144 to:
% 9.22/2.79 | (779) ~ (all_0_17_17 = e1)
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 779 yields:
% 9.22/2.79 | (780) ~ (all_0_17_17 = e1)
% 9.22/2.79 |
% 9.22/2.79 | Equations (466) can reduce 258 to:
% 9.22/2.79 | (125) ~ (e1 = e0)
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (27), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (333) all_0_4_4 = e0
% 9.22/2.79 |
% 9.22/2.79 | Combining equations (333,764) yields a new equation:
% 9.22/2.79 | (274) e2 = e0
% 9.22/2.79 |
% 9.22/2.79 | Equations (274) can reduce 55 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (284) ~ (all_0_4_4 = e0)
% 9.22/2.79 | (786) all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (773), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (787) all_0_18_18 = e3
% 9.22/2.79 |
% 9.22/2.79 | Combining equations (320,787) yields a new equation:
% 9.22/2.79 | (435) e3 = e0
% 9.22/2.79 |
% 9.22/2.79 | Equations (435) can reduce 63 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (643) ~ (all_0_18_18 = e3)
% 9.22/2.79 | (791) all_0_19_19 = e3 | all_0_20_20 = e3
% 9.22/2.79 |
% 9.22/2.79 | Equations (320) can reduce 643 to:
% 9.22/2.79 | (757) ~ (e3 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 757 yields:
% 9.22/2.79 | (63) ~ (e3 = e0)
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (786), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (261) all_0_5_5 = e0
% 9.22/2.79 |
% 9.22/2.79 | Equations (261) can reduce 243 to:
% 9.22/2.79 | (289) ~ (e2 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 289 yields:
% 9.22/2.79 | (55) ~ (e2 = e0)
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (61), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (476) all_0_5_5 = e1
% 9.22/2.79 |
% 9.22/2.79 | Combining equations (261,476) yields a new equation:
% 9.22/2.79 | (463) e1 = e0
% 9.22/2.79 |
% 9.22/2.79 | Equations (463) can reduce 125 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (480) ~ (all_0_5_5 = e1)
% 9.22/2.79 | (801) all_0_9_9 = e1 | all_0_17_17 = e1
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (801), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (493) all_0_9_9 = e1
% 9.22/2.79 |
% 9.22/2.79 | Equations (493) can reduce 67 to:
% 9.22/2.79 | (482) ~ (all_0_11_11 = e1)
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 482 yields:
% 9.22/2.79 | (483) ~ (all_0_11_11 = e1)
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (36), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (245) ~ (all_0_5_5 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Equations (261) can reduce 245 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (261) all_0_5_5 = e0
% 9.22/2.79 | (283) all_0_8_8 = e3
% 9.22/2.79 |
% 9.22/2.79 | Equations (283) can reduce 348 to:
% 9.22/2.79 | (194) ~ (e3 = e2)
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (207), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (484) all_0_11_11 = e2
% 9.22/2.79 |
% 9.22/2.79 | Equations (484) can reduce 225 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (225) ~ (all_0_11_11 = e2)
% 9.22/2.79 | (487) all_0_11_11 = e4 | all_0_11_11 = e1
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (487), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (814) all_0_11_11 = e4
% 9.22/2.79 |
% 9.22/2.79 | Equations (814) can reduce 225 to:
% 9.22/2.79 | (203) ~ (e4 = e2)
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (149), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (246), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (247), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (248), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.22/2.79 |
% 9.22/2.79 +-Applying beta-rule and splitting (249), into two cases.
% 9.22/2.79 |-Branch one:
% 9.22/2.79 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.22/2.79 |
% 9.22/2.79 | Applying alpha-rule on (250) yields:
% 9.22/2.79 | (251) all_0_0_0 = e0
% 9.22/2.79 | (252) all_0_20_20 = e4
% 9.22/2.79 | (253) ~ (all_0_3_3 = e4)
% 9.22/2.79 |
% 9.22/2.79 | Combining equations (252,272) yields a new equation:
% 9.22/2.79 | (559) e4 = e2
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 559 yields:
% 9.22/2.79 | (340) e4 = e2
% 9.22/2.79 |
% 9.22/2.79 | Equations (340) can reduce 203 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Applying alpha-rule on (255) yields:
% 9.22/2.79 | (251) all_0_0_0 = e0
% 9.22/2.79 | (252) all_0_20_20 = e4
% 9.22/2.79 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Combining equations (252,272) yields a new equation:
% 9.22/2.79 | (559) e4 = e2
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 559 yields:
% 9.22/2.79 | (340) e4 = e2
% 9.22/2.79 |
% 9.22/2.79 | Equations (340) can reduce 203 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.22/2.79 |
% 9.22/2.79 | Applying alpha-rule on (260) yields:
% 9.22/2.79 | (261) all_0_5_5 = e0
% 9.22/2.79 | (262) all_0_20_20 = e3
% 9.22/2.79 | (263) ~ (all_0_8_8 = e3)
% 9.22/2.79 |
% 9.22/2.79 | Combining equations (262,272) yields a new equation:
% 9.22/2.79 | (345) e3 = e2
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 345 yields:
% 9.22/2.79 | (346) e3 = e2
% 9.22/2.79 |
% 9.22/2.79 | Equations (346) can reduce 194 to:
% 9.22/2.79 | (254) $false
% 9.22/2.79 |
% 9.22/2.79 |-The branch is then unsatisfiable
% 9.22/2.79 |-Branch two:
% 9.22/2.79 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Applying alpha-rule on (265) yields:
% 9.22/2.79 | (261) all_0_5_5 = e0
% 9.22/2.79 | (262) all_0_20_20 = e3
% 9.22/2.79 | (268) ~ (all_0_17_17 = e0)
% 9.22/2.79 |
% 9.22/2.79 | Combining equations (262,272) yields a new equation:
% 9.22/2.79 | (345) e3 = e2
% 9.22/2.79 |
% 9.22/2.79 | Simplifying 345 yields:
% 9.22/2.79 | (346) e3 = e2
% 9.22/2.79 |
% 9.22/2.80 | Equations (346) can reduce 194 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.22/2.80 |
% 9.22/2.80 | Applying alpha-rule on (270) yields:
% 9.22/2.80 | (271) all_0_10_10 = e0
% 9.22/2.80 | (272) all_0_20_20 = e2
% 9.22/2.80 | (227) ~ (all_0_12_12 = e2)
% 9.22/2.80 |
% 9.22/2.80 | Combining equations (271,222) yields a new equation:
% 9.22/2.80 | (274) e2 = e0
% 9.22/2.80 |
% 9.22/2.80 | Equations (274) can reduce 55 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.22/2.80 |
% 9.22/2.80 | Applying alpha-rule on (276) yields:
% 9.22/2.80 | (271) all_0_10_10 = e0
% 9.22/2.80 | (272) all_0_20_20 = e2
% 9.22/2.80 | (279) ~ (all_0_18_18 = e0)
% 9.22/2.80 |
% 9.22/2.80 | Combining equations (271,222) yields a new equation:
% 9.22/2.80 | (274) e2 = e0
% 9.22/2.80 |
% 9.22/2.80 | Equations (274) can reduce 55 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (860) ~ (all_0_11_11 = e4)
% 9.22/2.80 | (552) all_0_11_11 = e1
% 9.22/2.80 |
% 9.22/2.80 | Equations (552) can reduce 483 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (551) ~ (all_0_9_9 = e1)
% 9.22/2.80 | (864) all_0_17_17 = e1
% 9.22/2.80 |
% 9.22/2.80 | Equations (864) can reduce 780 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (245) ~ (all_0_5_5 = e0)
% 9.22/2.80 | (867) all_0_6_6 = e0 | all_0_8_8 = e0
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (70), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (868) all_0_1_1 = e0
% 9.22/2.80 |
% 9.22/2.80 | Combining equations (868,683) yields a new equation:
% 9.22/2.80 | (435) e3 = e0
% 9.22/2.80 |
% 9.22/2.80 | Equations (435) can reduce 63 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (871) ~ (all_0_1_1 = e0)
% 9.22/2.80 | (872) all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (872), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (261) all_0_5_5 = e0
% 9.22/2.80 |
% 9.22/2.80 | Equations (261) can reduce 245 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (245) ~ (all_0_5_5 = e0)
% 9.22/2.80 | (876) all_0_9_9 = e0 | all_0_17_17 = e0
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (876), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (300) all_0_9_9 = e0
% 9.22/2.80 |
% 9.22/2.80 | Equations (300) can reduce 288 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (288) ~ (all_0_9_9 = e0)
% 9.22/2.80 | (880) all_0_17_17 = e0
% 9.22/2.80 |
% 9.22/2.80 | Equations (880) can reduce 268 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (882) ~ (all_0_4_4 = e2)
% 9.22/2.80 | (883) all_0_13_13 = e2 | all_0_16_16 = e2
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (883), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (234) all_0_13_13 = e2
% 9.22/2.80 |
% 9.22/2.80 | Combining equations (625,234) yields a new equation:
% 9.22/2.80 | (559) e4 = e2
% 9.22/2.80 |
% 9.22/2.80 | Simplifying 559 yields:
% 9.22/2.80 | (340) e4 = e2
% 9.22/2.80 |
% 9.22/2.80 | Equations (340) can reduce 203 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (624) ~ (all_0_13_13 = e2)
% 9.22/2.80 | (889) all_0_16_16 = e2
% 9.22/2.80 |
% 9.22/2.80 | Equations (889) can reduce 238 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (891) ~ (all_0_6_6 = e4)
% 9.22/2.80 | (892) all_0_15_15 = e4 | all_0_18_18 = e4
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (139), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (764) all_0_4_4 = e2
% 9.22/2.80 |
% 9.22/2.80 | Equations (764) can reduce 116 to:
% 9.22/2.80 | (237) ~ (all_0_16_16 = e2)
% 9.22/2.80 |
% 9.22/2.80 | Simplifying 237 yields:
% 9.22/2.80 | (238) ~ (all_0_16_16 = e2)
% 9.22/2.80 |
% 9.22/2.80 | Equations (764) can reduce 172 to:
% 9.22/2.80 | (239) ~ (e3 = e2)
% 9.22/2.80 |
% 9.22/2.80 | Simplifying 239 yields:
% 9.22/2.80 | (194) ~ (e3 = e2)
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (99), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (770) all_0_17_17 = e3
% 9.22/2.80 |
% 9.22/2.80 | Equations (770) can reduce 685 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (685) ~ (all_0_17_17 = e3)
% 9.22/2.80 | (773) all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (43), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (889) all_0_16_16 = e2
% 9.22/2.80 |
% 9.22/2.80 | Equations (889) can reduce 238 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (238) ~ (all_0_16_16 = e2)
% 9.22/2.80 | (905) all_0_16_16 = e4 | all_0_16_16 = e1 | all_0_16_16 = e0
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (905), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (336) all_0_16_16 = e0
% 9.22/2.80 |
% 9.22/2.80 | Equations (336) can reduce 258 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (258) ~ (all_0_16_16 = e0)
% 9.22/2.80 | (909) all_0_16_16 = e4 | all_0_16_16 = e1
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (909), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (910) all_0_16_16 = e4
% 9.22/2.80 |
% 9.22/2.80 | Equations (910) can reduce 632 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (632) ~ (all_0_16_16 = e4)
% 9.22/2.80 | (466) all_0_16_16 = e1
% 9.22/2.80 |
% 9.22/2.80 | Equations (466) can reduce 144 to:
% 9.22/2.80 | (779) ~ (all_0_17_17 = e1)
% 9.22/2.80 |
% 9.22/2.80 | Simplifying 779 yields:
% 9.22/2.80 | (780) ~ (all_0_17_17 = e1)
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (212), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (916) all_0_17_17 = e2
% 9.22/2.80 |
% 9.22/2.80 | Equations (916) can reduce 756 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (756) ~ (all_0_17_17 = e2)
% 9.22/2.80 | (919) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 9.22/2.80 |
% 9.22/2.80 +-Applying beta-rule and splitting (919), into two cases.
% 9.22/2.80 |-Branch one:
% 9.22/2.80 | (880) all_0_17_17 = e0
% 9.22/2.80 |
% 9.22/2.80 | Equations (880) can reduce 268 to:
% 9.22/2.80 | (254) $false
% 9.22/2.80 |
% 9.22/2.80 |-The branch is then unsatisfiable
% 9.22/2.80 |-Branch two:
% 9.22/2.80 | (268) ~ (all_0_17_17 = e0)
% 9.22/2.80 | (923) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1
% 9.22/2.80 |
% 9.22/2.81 +-Applying beta-rule and splitting (923), into two cases.
% 9.22/2.81 |-Branch one:
% 9.22/2.81 | (924) all_0_17_17 = e4
% 9.22/2.81 |
% 9.22/2.81 | Equations (924) can reduce 177 to:
% 9.22/2.81 | (925) ~ (all_0_19_19 = e4)
% 9.22/2.81 |
% 9.22/2.81 | Simplifying 925 yields:
% 9.65/2.81 | (926) ~ (all_0_19_19 = e4)
% 9.65/2.81 |
% 9.65/2.81 | Equations (924) can reduce 268 to:
% 9.65/2.81 | (6) ~ (e4 = e0)
% 9.65/2.81 |
% 9.65/2.81 +-Applying beta-rule and splitting (773), into two cases.
% 9.65/2.81 |-Branch one:
% 9.65/2.81 | (787) all_0_18_18 = e3
% 9.65/2.81 |
% 9.65/2.81 | Combining equations (320,787) yields a new equation:
% 9.65/2.81 | (435) e3 = e0
% 9.65/2.81 |
% 9.65/2.81 | Equations (435) can reduce 63 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (643) ~ (all_0_18_18 = e3)
% 9.65/2.81 | (791) all_0_19_19 = e3 | all_0_20_20 = e3
% 9.65/2.81 |
% 9.65/2.81 +-Applying beta-rule and splitting (791), into two cases.
% 9.65/2.81 |-Branch one:
% 9.65/2.81 | (933) all_0_19_19 = e3
% 9.65/2.81 |
% 9.65/2.81 | Equations (933) can reduce 926 to:
% 9.65/2.81 | (644) ~ (e4 = e3)
% 9.65/2.81 |
% 9.65/2.81 | Simplifying 644 yields:
% 9.65/2.81 | (30) ~ (e4 = e3)
% 9.65/2.81 |
% 9.65/2.81 +-Applying beta-rule and splitting (892), into two cases.
% 9.65/2.81 |-Branch one:
% 9.65/2.81 | (422) all_0_15_15 = e4
% 9.65/2.81 |
% 9.65/2.81 | Combining equations (574,422) yields a new equation:
% 9.65/2.81 | (386) e4 = e3
% 9.65/2.81 |
% 9.65/2.81 | Equations (386) can reduce 30 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (573) ~ (all_0_15_15 = e4)
% 9.65/2.81 | (940) all_0_18_18 = e4
% 9.65/2.81 |
% 9.65/2.81 | Combining equations (940,320) yields a new equation:
% 9.65/2.81 | (941) e4 = e0
% 9.65/2.81 |
% 9.65/2.81 | Simplifying 941 yields:
% 9.65/2.81 | (323) e4 = e0
% 9.65/2.81 |
% 9.65/2.81 | Equations (323) can reduce 6 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (944) ~ (all_0_19_19 = e3)
% 9.65/2.81 | (262) all_0_20_20 = e3
% 9.65/2.81 |
% 9.65/2.81 | Combining equations (272,262) yields a new equation:
% 9.65/2.81 | (346) e3 = e2
% 9.65/2.81 |
% 9.65/2.81 | Equations (346) can reduce 194 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (948) ~ (all_0_17_17 = e4)
% 9.65/2.81 | (949) all_0_17_17 = e3 | all_0_17_17 = e1
% 9.65/2.81 |
% 9.65/2.81 +-Applying beta-rule and splitting (949), into two cases.
% 9.65/2.81 |-Branch one:
% 9.65/2.81 | (770) all_0_17_17 = e3
% 9.65/2.81 |
% 9.65/2.81 | Equations (770) can reduce 685 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (685) ~ (all_0_17_17 = e3)
% 9.65/2.81 | (864) all_0_17_17 = e1
% 9.65/2.81 |
% 9.65/2.81 | Equations (864) can reduce 780 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (882) ~ (all_0_4_4 = e2)
% 9.65/2.81 | (883) all_0_13_13 = e2 | all_0_16_16 = e2
% 9.65/2.81 |
% 9.65/2.81 +-Applying beta-rule and splitting (883), into two cases.
% 9.65/2.81 |-Branch one:
% 9.65/2.81 | (234) all_0_13_13 = e2
% 9.65/2.81 |
% 9.65/2.81 | Combining equations (625,234) yields a new equation:
% 9.65/2.81 | (559) e4 = e2
% 9.65/2.81 |
% 9.65/2.81 | Simplifying 559 yields:
% 9.65/2.81 | (340) e4 = e2
% 9.65/2.81 |
% 9.65/2.81 | Equations (340) can reduce 203 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (624) ~ (all_0_13_13 = e2)
% 9.65/2.81 | (889) all_0_16_16 = e2
% 9.65/2.81 |
% 9.65/2.81 | Equations (889) can reduce 238 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (964) ~ (all_0_1_1 = e3)
% 9.65/2.81 | (965) all_0_2_2 = e3 | all_0_3_3 = e3
% 9.65/2.81 |
% 9.65/2.81 +-Applying beta-rule and splitting (965), into two cases.
% 9.65/2.81 |-Branch one:
% 9.65/2.81 | (966) all_0_2_2 = e3
% 9.65/2.81 |
% 9.65/2.81 | Combining equations (966,496) yields a new equation:
% 9.65/2.81 | (345) e3 = e2
% 9.65/2.81 |
% 9.65/2.81 | Simplifying 345 yields:
% 9.65/2.81 | (346) e3 = e2
% 9.65/2.81 |
% 9.65/2.81 | Equations (346) can reduce 194 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (970) ~ (all_0_2_2 = e3)
% 9.65/2.81 | (971) all_0_3_3 = e3
% 9.65/2.81 |
% 9.65/2.81 | Combining equations (339,971) yields a new equation:
% 9.65/2.81 | (972) e4 = e3
% 9.65/2.81 |
% 9.65/2.81 | Simplifying 972 yields:
% 9.65/2.81 | (386) e4 = e3
% 9.65/2.81 |
% 9.65/2.81 | Equations (386) can reduce 30 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (975) ~ (all_0_12_12 = e0)
% 9.65/2.81 | (976) all_0_12_12 = e4
% 9.65/2.81 |
% 9.65/2.81 | Equations (976) can reduce 661 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.81 |-Branch two:
% 9.65/2.81 | (451) ~ (all_0_2_2 = e2)
% 9.65/2.81 | (291) all_0_3_3 = e2
% 9.65/2.81 |
% 9.65/2.81 | Combining equations (291,339) yields a new equation:
% 9.65/2.81 | (340) e4 = e2
% 9.65/2.81 |
% 9.65/2.81 | Equations (340) can reduce 203 to:
% 9.65/2.81 | (254) $false
% 9.65/2.81 |
% 9.65/2.81 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (294) ~ (all_0_0_0 = e0)
% 9.65/2.82 | (298) all_0_0_0 = e4
% 9.65/2.82 |
% 9.65/2.82 | Equations (298) can reduce 626 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (415) ~ (all_0_14_14 = e2)
% 9.65/2.82 | (428) all_0_14_14 = e4 | all_0_14_14 = e3
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (428), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (429) all_0_14_14 = e4
% 9.65/2.82 |
% 9.65/2.82 | Equations (429) can reduce 423 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (423) ~ (all_0_14_14 = e4)
% 9.65/2.82 | (432) all_0_14_14 = e3
% 9.65/2.82 |
% 9.65/2.82 | Equations (432) can reduce 641 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (992) ~ (all_0_10_10 = e2)
% 9.65/2.82 | (271) all_0_10_10 = e0
% 9.65/2.82 |
% 9.65/2.82 | Equations (271) can reduce 221 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (271) all_0_10_10 = e0
% 9.65/2.82 | (350) all_0_12_12 = e2
% 9.65/2.82 |
% 9.65/2.82 | Equations (271) can reduce 3 to:
% 9.65/2.82 | (286) ~ (all_0_6_6 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Equations (350) can reduce 34 to:
% 9.65/2.82 | (998) ~ (all_0_20_20 = e2)
% 9.65/2.82 |
% 9.65/2.82 | Simplifying 998 yields:
% 9.65/2.82 | (242) ~ (all_0_20_20 = e2)
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (118), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (234) all_0_13_13 = e2
% 9.65/2.82 |
% 9.65/2.82 | Equations (234) can reduce 211 to:
% 9.65/2.82 | (178) ~ (all_0_0_0 = e2)
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (191), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (244) ~ (all_0_20_20 = e4)
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (71), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (251) all_0_0_0 = e0
% 9.65/2.82 |
% 9.65/2.82 | Equations (251) can reduce 122 to:
% 9.65/2.82 | (653) ~ (all_0_4_4 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Simplifying 653 yields:
% 9.65/2.82 | (284) ~ (all_0_4_4 = e0)
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (97), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (294) ~ (all_0_0_0 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Equations (251) can reduce 294 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (251) all_0_0_0 = e0
% 9.65/2.82 | (339) all_0_3_3 = e4
% 9.65/2.82 |
% 9.65/2.82 | Equations (339) can reduce 155 to:
% 9.65/2.82 | (662) ~ (all_0_20_20 = e4)
% 9.65/2.82 |
% 9.65/2.82 | Simplifying 662 yields:
% 9.65/2.82 | (244) ~ (all_0_20_20 = e4)
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (58), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (1012) ~ (all_0_20_20 = e3)
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (149), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (246), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (247), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (248), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (249), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.65/2.82 |
% 9.65/2.82 | Applying alpha-rule on (250) yields:
% 9.65/2.82 | (251) all_0_0_0 = e0
% 9.65/2.82 | (252) all_0_20_20 = e4
% 9.65/2.82 | (253) ~ (all_0_3_3 = e4)
% 9.65/2.82 |
% 9.65/2.82 | Equations (252) can reduce 244 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Applying alpha-rule on (255) yields:
% 9.65/2.82 | (251) all_0_0_0 = e0
% 9.65/2.82 | (252) all_0_20_20 = e4
% 9.65/2.82 | (258) ~ (all_0_16_16 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Equations (252) can reduce 244 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.65/2.82 |
% 9.65/2.82 | Applying alpha-rule on (260) yields:
% 9.65/2.82 | (261) all_0_5_5 = e0
% 9.65/2.82 | (262) all_0_20_20 = e3
% 9.65/2.82 | (263) ~ (all_0_8_8 = e3)
% 9.65/2.82 |
% 9.65/2.82 | Equations (262) can reduce 1012 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Applying alpha-rule on (265) yields:
% 9.65/2.82 | (261) all_0_5_5 = e0
% 9.65/2.82 | (262) all_0_20_20 = e3
% 9.65/2.82 | (268) ~ (all_0_17_17 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Equations (262) can reduce 1012 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.65/2.82 |
% 9.65/2.82 | Applying alpha-rule on (270) yields:
% 9.65/2.82 | (271) all_0_10_10 = e0
% 9.65/2.82 | (272) all_0_20_20 = e2
% 9.65/2.82 | (227) ~ (all_0_12_12 = e2)
% 9.65/2.82 |
% 9.65/2.82 | Equations (272) can reduce 242 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Applying alpha-rule on (276) yields:
% 9.65/2.82 | (271) all_0_10_10 = e0
% 9.65/2.82 | (272) all_0_20_20 = e2
% 9.65/2.82 | (279) ~ (all_0_18_18 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Equations (272) can reduce 242 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (262) all_0_20_20 = e3
% 9.65/2.82 | (880) all_0_17_17 = e0
% 9.65/2.82 |
% 9.65/2.82 | Equations (880) can reduce 50 to:
% 9.65/2.82 | (245) ~ (all_0_5_5 = e0)
% 9.65/2.82 |
% 9.65/2.82 | Equations (262) can reduce 244 to:
% 9.65/2.82 | (644) ~ (e4 = e3)
% 9.65/2.82 |
% 9.65/2.82 | Simplifying 644 yields:
% 9.65/2.82 | (30) ~ (e4 = e3)
% 9.65/2.82 |
% 9.65/2.82 | Equations (262) can reduce 242 to:
% 9.65/2.82 | (194) ~ (e3 = e2)
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (27), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (333) all_0_4_4 = e0
% 9.65/2.82 |
% 9.65/2.82 | Equations (333) can reduce 284 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (284) ~ (all_0_4_4 = e0)
% 9.65/2.82 | (786) all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (786), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (261) all_0_5_5 = e0
% 9.65/2.82 |
% 9.65/2.82 | Equations (261) can reduce 245 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (245) ~ (all_0_5_5 = e0)
% 9.65/2.82 | (867) all_0_6_6 = e0 | all_0_8_8 = e0
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (867), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (312) all_0_6_6 = e0
% 9.65/2.82 |
% 9.65/2.82 | Equations (312) can reduce 286 to:
% 9.65/2.82 | (254) $false
% 9.65/2.82 |
% 9.65/2.82 |-The branch is then unsatisfiable
% 9.65/2.82 |-Branch two:
% 9.65/2.82 | (286) ~ (all_0_6_6 = e0)
% 9.65/2.82 | (1064) all_0_8_8 = e0
% 9.65/2.82 |
% 9.65/2.82 | Equations (1064) can reduce 115 to:
% 9.65/2.82 | (245) ~ (all_0_5_5 = e0)
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (149), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.65/2.82 |
% 9.65/2.82 +-Applying beta-rule and splitting (246), into two cases.
% 9.65/2.82 |-Branch one:
% 9.65/2.82 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (247), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (248), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (249), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (250) yields:
% 9.65/2.83 | (251) all_0_0_0 = e0
% 9.65/2.83 | (252) all_0_20_20 = e4
% 9.65/2.83 | (253) ~ (all_0_3_3 = e4)
% 9.65/2.83 |
% 9.65/2.83 | Combining equations (252,262) yields a new equation:
% 9.65/2.83 | (972) e4 = e3
% 9.65/2.83 |
% 9.65/2.83 | Simplifying 972 yields:
% 9.65/2.83 | (386) e4 = e3
% 9.65/2.83 |
% 9.65/2.83 | Equations (386) can reduce 30 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (255) yields:
% 9.65/2.83 | (251) all_0_0_0 = e0
% 9.65/2.83 | (252) all_0_20_20 = e4
% 9.65/2.83 | (258) ~ (all_0_16_16 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Combining equations (252,262) yields a new equation:
% 9.65/2.83 | (972) e4 = e3
% 9.65/2.83 |
% 9.65/2.83 | Simplifying 972 yields:
% 9.65/2.83 | (386) e4 = e3
% 9.65/2.83 |
% 9.65/2.83 | Equations (386) can reduce 30 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (260) yields:
% 9.65/2.83 | (261) all_0_5_5 = e0
% 9.65/2.83 | (262) all_0_20_20 = e3
% 9.65/2.83 | (263) ~ (all_0_8_8 = e3)
% 9.65/2.83 |
% 9.65/2.83 | Equations (261) can reduce 245 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (265) yields:
% 9.65/2.83 | (261) all_0_5_5 = e0
% 9.65/2.83 | (262) all_0_20_20 = e3
% 9.65/2.83 | (268) ~ (all_0_17_17 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Equations (880) can reduce 268 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (270) yields:
% 9.65/2.83 | (271) all_0_10_10 = e0
% 9.65/2.83 | (272) all_0_20_20 = e2
% 9.65/2.83 | (227) ~ (all_0_12_12 = e2)
% 9.65/2.83 |
% 9.65/2.83 | Combining equations (262,272) yields a new equation:
% 9.65/2.83 | (345) e3 = e2
% 9.65/2.83 |
% 9.65/2.83 | Simplifying 345 yields:
% 9.65/2.83 | (346) e3 = e2
% 9.65/2.83 |
% 9.65/2.83 | Equations (346) can reduce 194 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (276) yields:
% 9.65/2.83 | (271) all_0_10_10 = e0
% 9.65/2.83 | (272) all_0_20_20 = e2
% 9.65/2.83 | (279) ~ (all_0_18_18 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Combining equations (262,272) yields a new equation:
% 9.65/2.83 | (345) e3 = e2
% 9.65/2.83 |
% 9.65/2.83 | Simplifying 345 yields:
% 9.65/2.83 | (346) e3 = e2
% 9.65/2.83 |
% 9.65/2.83 | Equations (346) can reduce 194 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (294) ~ (all_0_0_0 = e0)
% 9.65/2.83 | (298) all_0_0_0 = e4
% 9.65/2.83 |
% 9.65/2.83 | Equations (298) can reduce 77 to:
% 9.65/2.83 | (1110) ~ (all_0_3_3 = e4)
% 9.65/2.83 |
% 9.65/2.83 | Simplifying 1110 yields:
% 9.65/2.83 | (253) ~ (all_0_3_3 = e4)
% 9.65/2.83 |
% 9.65/2.83 | Equations (298) can reduce 170 to:
% 9.65/2.83 | (30) ~ (e4 = e3)
% 9.65/2.83 |
% 9.65/2.83 | Equations (298) can reduce 178 to:
% 9.65/2.83 | (203) ~ (e4 = e2)
% 9.65/2.83 |
% 9.65/2.83 | Equations (298) can reduce 294 to:
% 9.65/2.83 | (6) ~ (e4 = e0)
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (84), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (339) all_0_3_3 = e4
% 9.65/2.83 |
% 9.65/2.83 | Equations (339) can reduce 253 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (253) ~ (all_0_3_3 = e4)
% 9.65/2.83 | (1118) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (1118), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (1119) all_0_8_8 = e4
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (36), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (245) ~ (all_0_5_5 = e0)
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (149), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (246), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (247), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (248), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.65/2.83 |
% 9.65/2.83 +-Applying beta-rule and splitting (249), into two cases.
% 9.65/2.83 |-Branch one:
% 9.65/2.83 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (250) yields:
% 9.65/2.83 | (251) all_0_0_0 = e0
% 9.65/2.83 | (252) all_0_20_20 = e4
% 9.65/2.83 | (253) ~ (all_0_3_3 = e4)
% 9.65/2.83 |
% 9.65/2.83 | Combining equations (251,298) yields a new equation:
% 9.65/2.83 | (323) e4 = e0
% 9.65/2.83 |
% 9.65/2.83 | Equations (323) can reduce 6 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (255) yields:
% 9.65/2.83 | (251) all_0_0_0 = e0
% 9.65/2.83 | (252) all_0_20_20 = e4
% 9.65/2.83 | (258) ~ (all_0_16_16 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Combining equations (251,298) yields a new equation:
% 9.65/2.83 | (323) e4 = e0
% 9.65/2.83 |
% 9.65/2.83 | Equations (323) can reduce 6 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (260) yields:
% 9.65/2.83 | (261) all_0_5_5 = e0
% 9.65/2.83 | (262) all_0_20_20 = e3
% 9.65/2.83 | (263) ~ (all_0_8_8 = e3)
% 9.65/2.83 |
% 9.65/2.83 | Equations (261) can reduce 245 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (265) yields:
% 9.65/2.83 | (261) all_0_5_5 = e0
% 9.65/2.83 | (262) all_0_20_20 = e3
% 9.65/2.83 | (268) ~ (all_0_17_17 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Equations (261) can reduce 245 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (270) yields:
% 9.65/2.83 | (271) all_0_10_10 = e0
% 9.65/2.83 | (272) all_0_20_20 = e2
% 9.65/2.83 | (227) ~ (all_0_12_12 = e2)
% 9.65/2.83 |
% 9.65/2.83 | Equations (272) can reduce 242 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Applying alpha-rule on (276) yields:
% 9.65/2.83 | (271) all_0_10_10 = e0
% 9.65/2.83 | (272) all_0_20_20 = e2
% 9.65/2.83 | (279) ~ (all_0_18_18 = e0)
% 9.65/2.83 |
% 9.65/2.83 | Equations (272) can reduce 242 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (261) all_0_5_5 = e0
% 9.65/2.83 | (283) all_0_8_8 = e3
% 9.65/2.83 |
% 9.65/2.83 | Combining equations (283,1119) yields a new equation:
% 9.65/2.83 | (386) e4 = e3
% 9.65/2.83 |
% 9.65/2.83 | Equations (386) can reduce 30 to:
% 9.65/2.83 | (254) $false
% 9.65/2.83 |
% 9.65/2.83 |-The branch is then unsatisfiable
% 9.65/2.83 |-Branch two:
% 9.65/2.83 | (1161) ~ (all_0_8_8 = e4)
% 9.65/2.84 | (1162) all_0_12_12 = e4 | all_0_20_20 = e4
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (1162), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (976) all_0_12_12 = e4
% 9.65/2.84 |
% 9.65/2.84 | Combining equations (350,976) yields a new equation:
% 9.65/2.84 | (340) e4 = e2
% 9.65/2.84 |
% 9.65/2.84 | Equations (340) can reduce 203 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (661) ~ (all_0_12_12 = e4)
% 9.65/2.84 | (252) all_0_20_20 = e4
% 9.65/2.84 |
% 9.65/2.84 | Equations (252) can reduce 244 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (252) all_0_20_20 = e4
% 9.65/2.84 | (336) all_0_16_16 = e0
% 9.65/2.84 |
% 9.65/2.84 | Equations (336) can reduce 142 to:
% 9.65/2.84 | (294) ~ (all_0_0_0 = e0)
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (71), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (251) all_0_0_0 = e0
% 9.65/2.84 |
% 9.65/2.84 | Equations (251) can reduce 294 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (294) ~ (all_0_0_0 = e0)
% 9.65/2.84 | (298) all_0_0_0 = e4
% 9.65/2.84 |
% 9.65/2.84 | Equations (298) can reduce 170 to:
% 9.65/2.84 | (30) ~ (e4 = e3)
% 9.65/2.84 |
% 9.65/2.84 | Equations (298) can reduce 178 to:
% 9.65/2.84 | (203) ~ (e4 = e2)
% 9.65/2.84 |
% 9.65/2.84 | Equations (298) can reduce 294 to:
% 9.65/2.84 | (6) ~ (e4 = e0)
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (149), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (246), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (247), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (248), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (249), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.65/2.84 |
% 9.65/2.84 | Applying alpha-rule on (250) yields:
% 9.65/2.84 | (251) all_0_0_0 = e0
% 9.65/2.84 | (252) all_0_20_20 = e4
% 9.65/2.84 | (253) ~ (all_0_3_3 = e4)
% 9.65/2.84 |
% 9.65/2.84 | Combining equations (251,298) yields a new equation:
% 9.65/2.84 | (323) e4 = e0
% 9.65/2.84 |
% 9.65/2.84 | Equations (323) can reduce 6 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.65/2.84 |
% 9.65/2.84 | Applying alpha-rule on (255) yields:
% 9.65/2.84 | (251) all_0_0_0 = e0
% 9.65/2.84 | (252) all_0_20_20 = e4
% 9.65/2.84 | (258) ~ (all_0_16_16 = e0)
% 9.65/2.84 |
% 9.65/2.84 | Combining equations (251,298) yields a new equation:
% 9.65/2.84 | (323) e4 = e0
% 9.65/2.84 |
% 9.65/2.84 | Equations (323) can reduce 6 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.65/2.84 |
% 9.65/2.84 | Applying alpha-rule on (260) yields:
% 9.65/2.84 | (261) all_0_5_5 = e0
% 9.65/2.84 | (262) all_0_20_20 = e3
% 9.65/2.84 | (263) ~ (all_0_8_8 = e3)
% 9.65/2.84 |
% 9.65/2.84 | Combining equations (252,262) yields a new equation:
% 9.65/2.84 | (972) e4 = e3
% 9.65/2.84 |
% 9.65/2.84 | Simplifying 972 yields:
% 9.65/2.84 | (386) e4 = e3
% 9.65/2.84 |
% 9.65/2.84 | Equations (386) can reduce 30 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.65/2.84 |
% 9.65/2.84 | Applying alpha-rule on (265) yields:
% 9.65/2.84 | (261) all_0_5_5 = e0
% 9.65/2.84 | (262) all_0_20_20 = e3
% 9.65/2.84 | (268) ~ (all_0_17_17 = e0)
% 9.65/2.84 |
% 9.65/2.84 | Combining equations (252,262) yields a new equation:
% 9.65/2.84 | (972) e4 = e3
% 9.65/2.84 |
% 9.65/2.84 | Simplifying 972 yields:
% 9.65/2.84 | (386) e4 = e3
% 9.65/2.84 |
% 9.65/2.84 | Equations (386) can reduce 30 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.65/2.84 |
% 9.65/2.84 | Applying alpha-rule on (270) yields:
% 9.65/2.84 | (271) all_0_10_10 = e0
% 9.65/2.84 | (272) all_0_20_20 = e2
% 9.65/2.84 | (227) ~ (all_0_12_12 = e2)
% 9.65/2.84 |
% 9.65/2.84 | Combining equations (252,272) yields a new equation:
% 9.65/2.84 | (559) e4 = e2
% 9.65/2.84 |
% 9.65/2.84 | Simplifying 559 yields:
% 9.65/2.84 | (340) e4 = e2
% 9.65/2.84 |
% 9.65/2.84 | Equations (340) can reduce 203 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.65/2.84 |
% 9.65/2.84 | Applying alpha-rule on (276) yields:
% 9.65/2.84 | (271) all_0_10_10 = e0
% 9.65/2.84 | (272) all_0_20_20 = e2
% 9.65/2.84 | (279) ~ (all_0_18_18 = e0)
% 9.65/2.84 |
% 9.65/2.84 | Combining equations (252,272) yields a new equation:
% 9.65/2.84 | (559) e4 = e2
% 9.65/2.84 |
% 9.65/2.84 | Simplifying 559 yields:
% 9.65/2.84 | (340) e4 = e2
% 9.65/2.84 |
% 9.65/2.84 | Equations (340) can reduce 203 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (624) ~ (all_0_13_13 = e2)
% 9.65/2.84 | (625) all_0_13_13 = e4
% 9.65/2.84 |
% 9.65/2.84 | Equations (625) can reduce 211 to:
% 9.65/2.84 | (626) ~ (all_0_0_0 = e4)
% 9.65/2.84 |
% 9.65/2.84 | Equations (625) can reduce 169 to:
% 9.65/2.84 | (30) ~ (e4 = e3)
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (71), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (251) all_0_0_0 = e0
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (97), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (294) ~ (all_0_0_0 = e0)
% 9.65/2.84 |
% 9.65/2.84 | Equations (251) can reduce 294 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (251) all_0_0_0 = e0
% 9.65/2.84 | (339) all_0_3_3 = e4
% 9.65/2.84 |
% 9.65/2.84 | Equations (339) can reduce 155 to:
% 9.65/2.84 | (662) ~ (all_0_20_20 = e4)
% 9.65/2.84 |
% 9.65/2.84 | Simplifying 662 yields:
% 9.65/2.84 | (244) ~ (all_0_20_20 = e4)
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (58), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (1012) ~ (all_0_20_20 = e3)
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (214), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (971) all_0_3_3 = e3
% 9.65/2.84 |
% 9.65/2.84 | Combining equations (971,339) yields a new equation:
% 9.65/2.84 | (386) e4 = e3
% 9.65/2.84 |
% 9.65/2.84 | Equations (386) can reduce 30 to:
% 9.65/2.84 | (254) $false
% 9.65/2.84 |
% 9.65/2.84 |-The branch is then unsatisfiable
% 9.65/2.84 |-Branch two:
% 9.65/2.84 | (1238) ~ (all_0_3_3 = e3)
% 9.65/2.84 | (1239) all_0_8_8 = e3 | all_0_20_20 = e3
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (1239), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (283) all_0_8_8 = e3
% 9.65/2.84 |
% 9.65/2.84 | Equations (283) can reduce 218 to:
% 9.65/2.84 | (1241) ~ (all_0_20_20 = e3)
% 9.65/2.84 |
% 9.65/2.84 | Simplifying 1241 yields:
% 9.65/2.84 | (1012) ~ (all_0_20_20 = e3)
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (149), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (246), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.65/2.84 |
% 9.65/2.84 +-Applying beta-rule and splitting (247), into two cases.
% 9.65/2.84 |-Branch one:
% 9.65/2.84 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.65/2.85 |
% 9.65/2.85 +-Applying beta-rule and splitting (248), into two cases.
% 9.65/2.85 |-Branch one:
% 9.65/2.85 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.65/2.85 |
% 9.65/2.85 +-Applying beta-rule and splitting (249), into two cases.
% 9.65/2.85 |-Branch one:
% 9.65/2.85 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (250) yields:
% 9.65/2.85 | (251) all_0_0_0 = e0
% 9.65/2.85 | (252) all_0_20_20 = e4
% 9.65/2.85 | (253) ~ (all_0_3_3 = e4)
% 9.65/2.85 |
% 9.65/2.85 | Equations (252) can reduce 244 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (255) yields:
% 9.65/2.85 | (251) all_0_0_0 = e0
% 9.65/2.85 | (252) all_0_20_20 = e4
% 9.65/2.85 | (258) ~ (all_0_16_16 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Equations (252) can reduce 244 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (260) yields:
% 9.65/2.85 | (261) all_0_5_5 = e0
% 9.65/2.85 | (262) all_0_20_20 = e3
% 9.65/2.85 | (263) ~ (all_0_8_8 = e3)
% 9.65/2.85 |
% 9.65/2.85 | Equations (262) can reduce 1012 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (265) yields:
% 9.65/2.85 | (261) all_0_5_5 = e0
% 9.65/2.85 | (262) all_0_20_20 = e3
% 9.65/2.85 | (268) ~ (all_0_17_17 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Equations (262) can reduce 1012 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (270) yields:
% 9.65/2.85 | (271) all_0_10_10 = e0
% 9.65/2.85 | (272) all_0_20_20 = e2
% 9.65/2.85 | (227) ~ (all_0_12_12 = e2)
% 9.65/2.85 |
% 9.65/2.85 | Equations (272) can reduce 242 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (276) yields:
% 9.65/2.85 | (271) all_0_10_10 = e0
% 9.65/2.85 | (272) all_0_20_20 = e2
% 9.65/2.85 | (279) ~ (all_0_18_18 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Equations (272) can reduce 242 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (263) ~ (all_0_8_8 = e3)
% 9.65/2.85 | (262) all_0_20_20 = e3
% 9.65/2.85 |
% 9.65/2.85 | Equations (262) can reduce 1012 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (262) all_0_20_20 = e3
% 9.65/2.85 | (880) all_0_17_17 = e0
% 9.65/2.85 |
% 9.65/2.85 | Equations (880) can reduce 50 to:
% 9.65/2.85 | (245) ~ (all_0_5_5 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Equations (262) can reduce 244 to:
% 9.65/2.85 | (644) ~ (e4 = e3)
% 9.65/2.85 |
% 9.65/2.85 | Simplifying 644 yields:
% 9.65/2.85 | (30) ~ (e4 = e3)
% 9.65/2.85 |
% 9.65/2.85 | Equations (262) can reduce 242 to:
% 9.65/2.85 | (194) ~ (e3 = e2)
% 9.65/2.85 |
% 9.65/2.85 +-Applying beta-rule and splitting (149), into two cases.
% 9.65/2.85 |-Branch one:
% 9.65/2.85 | (246) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)) | (all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2))
% 9.65/2.85 |
% 9.65/2.85 +-Applying beta-rule and splitting (246), into two cases.
% 9.65/2.85 |-Branch one:
% 9.65/2.85 | (247) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0))
% 9.65/2.85 |
% 9.65/2.85 +-Applying beta-rule and splitting (247), into two cases.
% 9.65/2.85 |-Branch one:
% 9.65/2.85 | (248) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)) | (all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3))
% 9.65/2.85 |
% 9.65/2.85 +-Applying beta-rule and splitting (248), into two cases.
% 9.65/2.85 |-Branch one:
% 9.65/2.85 | (249) (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)) | (all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0))
% 9.65/2.85 |
% 9.65/2.85 +-Applying beta-rule and splitting (249), into two cases.
% 9.65/2.85 |-Branch one:
% 9.65/2.85 | (250) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_3_3 = e4)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (250) yields:
% 9.65/2.85 | (251) all_0_0_0 = e0
% 9.65/2.85 | (252) all_0_20_20 = e4
% 9.65/2.85 | (253) ~ (all_0_3_3 = e4)
% 9.65/2.85 |
% 9.65/2.85 | Combining equations (262,252) yields a new equation:
% 9.65/2.85 | (386) e4 = e3
% 9.65/2.85 |
% 9.65/2.85 | Equations (386) can reduce 30 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (255) all_0_0_0 = e0 & all_0_20_20 = e4 & ~ (all_0_16_16 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (255) yields:
% 9.65/2.85 | (251) all_0_0_0 = e0
% 9.65/2.85 | (252) all_0_20_20 = e4
% 9.65/2.85 | (258) ~ (all_0_16_16 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Combining equations (262,252) yields a new equation:
% 9.65/2.85 | (386) e4 = e3
% 9.65/2.85 |
% 9.65/2.85 | Equations (386) can reduce 30 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (260) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (260) yields:
% 9.65/2.85 | (261) all_0_5_5 = e0
% 9.65/2.85 | (262) all_0_20_20 = e3
% 9.65/2.85 | (263) ~ (all_0_8_8 = e3)
% 9.65/2.85 |
% 9.65/2.85 | Equations (261) can reduce 245 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (265) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (265) yields:
% 9.65/2.85 | (261) all_0_5_5 = e0
% 9.65/2.85 | (262) all_0_20_20 = e3
% 9.65/2.85 | (268) ~ (all_0_17_17 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Equations (880) can reduce 268 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (270) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_12_12 = e2)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (270) yields:
% 9.65/2.85 | (271) all_0_10_10 = e0
% 9.65/2.85 | (272) all_0_20_20 = e2
% 9.65/2.85 | (227) ~ (all_0_12_12 = e2)
% 9.65/2.85 |
% 9.65/2.85 | Combining equations (262,272) yields a new equation:
% 9.65/2.85 | (345) e3 = e2
% 9.65/2.85 |
% 9.65/2.85 | Simplifying 345 yields:
% 9.65/2.85 | (346) e3 = e2
% 9.65/2.85 |
% 9.65/2.85 | Equations (346) can reduce 194 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (276) all_0_10_10 = e0 & all_0_20_20 = e2 & ~ (all_0_18_18 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Applying alpha-rule on (276) yields:
% 9.65/2.85 | (271) all_0_10_10 = e0
% 9.65/2.85 | (272) all_0_20_20 = e2
% 9.65/2.85 | (279) ~ (all_0_18_18 = e0)
% 9.65/2.85 |
% 9.65/2.85 | Combining equations (262,272) yields a new equation:
% 9.65/2.85 | (345) e3 = e2
% 9.65/2.85 |
% 9.65/2.85 | Simplifying 345 yields:
% 9.65/2.85 | (346) e3 = e2
% 9.65/2.85 |
% 9.65/2.85 | Equations (346) can reduce 194 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 |-Branch two:
% 9.65/2.85 | (294) ~ (all_0_0_0 = e0)
% 9.65/2.85 | (298) all_0_0_0 = e4
% 9.65/2.85 |
% 9.65/2.85 | Equations (298) can reduce 626 to:
% 9.65/2.85 | (254) $false
% 9.65/2.85 |
% 9.65/2.85 |-The branch is then unsatisfiable
% 9.65/2.85 % SZS output end Proof for theBenchmark
% 9.65/2.85
% 9.65/2.85 2251ms
%------------------------------------------------------------------------------