TSTP Solution File: ALG063+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG063+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 15:34:09 EDT 2022
% Result : Theorem 5.08s 1.73s
% Output : Proof 8.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG063+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.18/0.33 % Computer : n028.cluster.edu
% 0.18/0.33 % Model : x86_64 x86_64
% 0.18/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.33 % Memory : 8042.1875MB
% 0.18/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 600
% 0.18/0.33 % DateTime : Wed Jun 8 01:52:15 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.58/0.58 ____ _
% 0.58/0.58 ___ / __ \_____(_)___ ________ __________
% 0.58/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.58
% 0.58/0.58 A Theorem Prover for First-Order Logic
% 0.58/0.58 (ePrincess v.1.0)
% 0.58/0.58
% 0.58/0.58 (c) Philipp Rümmer, 2009-2015
% 0.58/0.58 (c) Peter Backeman, 2014-2015
% 0.58/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.58 Bug reports to peter@backeman.se
% 0.58/0.58
% 0.58/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.58
% 0.58/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.77/1.18 Prover 0: Preprocessing ...
% 4.31/1.53 Prover 0: Constructing countermodel ...
% 5.08/1.73 Prover 0: proved (1096ms)
% 5.08/1.73
% 5.08/1.73 No countermodel exists, formula is valid
% 5.08/1.73 % SZS status Theorem for theBenchmark
% 5.08/1.73
% 5.08/1.73 Generating proof ... found it (size 492)
% 7.42/2.34
% 7.42/2.34 % SZS output start Proof for theBenchmark
% 7.42/2.34 Assumed formulas after preprocessing and simplification:
% 7.42/2.34 | (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 = v15) & ~ (v20 = v10) & ~ (v20 = v6) & ~ (v20 = v3) & ~ (v20 = e2) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v14) & ~ (v19 = v2) & ~ (v19 = e3) & ~ (v19 = e2) & ~ (v19 = e0) & ~ (v18 = v17) & ~ (v18 = v13) & ~ (v18 = v9) & ~ (v18 = v1) & ~ (v18 = e4) & ~ (v18 = e2) & ~ (v17 = v12) & ~ (v17 = v8) & ~ (v17 = v5) & ~ (v17 = v0) & ~ (v17 = e2) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = v12) & ~ (v16 = v11) & ~ (v16 = v7) & ~ (v16 = v4) & ~ (v16 = e2) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v10) & ~ (v15 = v6) & ~ (v15 = v3) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v2) & ~ (v14 = e3) & ~ (v14 = e0) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v1) & ~ (v13 = e4) & ~ (v12 = v8) & ~ (v12 = v5) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v4) & ~ (v11 = e3) & ~ (v11 = e2) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v3) & ~ (v10 = e3) & ~ (v9 = v8) & ~ (v9 = v1) & ~ (v9 = e4) & ~ (v9 = e3) & ~ (v8 = v5) & ~ (v8 = v0) & ~ (v8 = e3) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = e4) & ~ (v7 = e2) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v3) & ~ (v6 = e4) & ~ (v6 = e0) & ~ (v5 = v0) & ~ (v5 = e4) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v4 = e2) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e3) & ~ (v2 = e0) & ~ (v1 = v0) & ~ (v1 = e4) & ~ (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) = e2 & op(e4, e3) = v20 & op(e4, e2) = v19 & 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) = v11 & op(e2, e3) = v10 & op(e2, e2) = e3 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, unit) = e1 & op(e1, e4) = v7 & op(e1, e3) = v6 & op(e1, e2) = e0 & op(e1, e1) = e4 & op(e1, e0) = v5 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (op(v24, v23) = v22) | ~ (op(v24, v23) = v21)) & (v20 = e4 | v20 = e3 | v20 = e1 | v20 = e0) & (v20 = e4 | v19 = e4 | v17 = e4) & (v20 = e4 | v15 = e4 | v10 = e4 | v3 = e4) & (v20 = e3 | v18 = e3 | v17 = e3) & (v20 = e3 | v15 = e3 | v6 = e3 | v3 = e3) & (v20 = e1 | v19 = e1 | v18 = e1 | v17 = e1) & (v20 = e1 | v15 = e1 | v10 = e1 | v6 = e1 | v3 = e1) & (v20 = e0 | v18 = e0 | v17 = e0) & (v20 = e0 | v15 = e0 | v10 = e0 | v3 = e0) & (v19 = e4 | v19 = e1) & (v19 = e4 | v14 = e4 | v2 = e4) & (v19 = e1 | v14 = e1 | v2 = e1) & (v18 = e3 | v18 = e1 | v18 = e0) & (v18 = e3 | v13 = e3 | v1 = e3) & (v18 = e1 | v13 = e1 | v9 = e1 | v1 = e1) & (v18 = e0 | v13 = e0 | v9 = e0 | v1 = e0) & (v17 = e4 | v17 = e3 | v17 = e1 | v17 = e0) & (v17 = e4 | v12 = e4 | v8 = e4 | v0 = e4) & (v17 = e3 | v12 = e3 | v5 = e3 | v0 = e3) & (v17 = e1 | v12 = e1 | v8 = e1 | v5 = e1 | v0 = e1) & (v17 = e0 | v12 = e0 | v8 = e0 | v0 = e0) & (v16 = e4 | v16 = e3 | v16 = e1 | v16 = e0) & (v16 = e4 | v15 = e4 | v14 = e4 | v12 = e4) & (v16 = e4 | v11 = e4 | v4 = e4) & (v16 = e3 | v15 = e3 | v13 = e3 | v12 = e3) & (v16 = e3 | v7 = e3 | v4 = e3) & (v16 = e1 | v15 = e1 | v14 = e1 | v13 = e1 | v12 = e1) & (v16 = e1 | v11 = e1 | v7 = e1 | v4 = e1) & (v16 = e0 | v15 = e0 | v13 = e0 | v12 = e0) & (v16 = e0 | v11 = e0 | v4 = e0) & (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v15 = e2 | v10 = e2 | v6 = e2 | v3 = e2) & (v15 = e2 | (v15 = e0 & v0 = e3 & ~ (v12 = e3)) | (v15 = e0 & v0 = e3 & ~ (v3 = e0))) & (v15 = e1 | v0 = e1) & (v15 = e0 | v0 = e0) & (v14 = e4 | v14 = e2 | v14 = e1) & (v14 = e2 | v2 = e2) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v13 = e2 | v9 = e2 | v1 = e2) & (v12 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e2 | v8 = e2 | v5 = e2 | v0 = e2) & (v11 = e4 | v11 = e1 | v11 = e0) & (v11 = e4 | v10 = e4 | v8 = e4) & (v11 = e1 | v10 = e1 | v9 = e1 | v8 = e1) & (v11 = e0 | v10 = e0 | v9 = e0 | v8 = e0) & (v10 = e4 | v10 = e2 | v10 = e1 | v10 = e0) & (v10 = e2 | v9 = e2 | v8 = e2) & (v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e1) & (v7 = e3 | v6 = e3 | v5 = e3) & (v7 = e1 | v6 = e1 | v5 = e1) & (v6 = e3 | v6 = e2 | v6 = e1) & (v6 = e2 | v5 = e2) & (v5 = e3 | v5 = e2 | v5 = e1) & (v4 = e4 | v4 = e3 | v4 = e1 | v4 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v1 = e3 | v0 = e3) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v4 = e0 | v3 = e0 | v1 = e0 | v0 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v2 = e4 | v2 = e2 | v2 = e1) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0))
% 7.42/2.39 | 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:
% 7.42/2.39 | (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_5_5) & ~ (all_0_0_0 = all_0_10_10) & ~ (all_0_0_0 = all_0_14_14) & ~ (all_0_0_0 = all_0_17_17) & ~ (all_0_0_0 = e2) & ~ (all_0_1_1 = all_0_2_2) & ~ (all_0_1_1 = all_0_3_3) & ~ (all_0_1_1 = all_0_6_6) & ~ (all_0_1_1 = all_0_18_18) & ~ (all_0_1_1 = e3) & ~ (all_0_1_1 = e2) & ~ (all_0_1_1 = e0) & ~ (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 = e4) & ~ (all_0_2_2 = e2) & ~ (all_0_3_3 = all_0_8_8) & ~ (all_0_3_3 = all_0_12_12) & ~ (all_0_3_3 = all_0_15_15) & ~ (all_0_3_3 = all_0_20_20) & ~ (all_0_3_3 = e2) & ~ (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_9_9) & ~ (all_0_4_4 = all_0_13_13) & ~ (all_0_4_4 = all_0_16_16) & ~ (all_0_4_4 = e2) & ~ (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_10_10) & ~ (all_0_5_5 = all_0_14_14) & ~ (all_0_5_5 = all_0_17_17) & ~ (all_0_6_6 = all_0_7_7) & ~ (all_0_6_6 = all_0_8_8) & ~ (all_0_6_6 = all_0_18_18) & ~ (all_0_6_6 = e3) & ~ (all_0_6_6 = e0) & ~ (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 = e4) & ~ (all_0_8_8 = all_0_12_12) & ~ (all_0_8_8 = all_0_15_15) & ~ (all_0_8_8 = all_0_20_20) & ~ (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_13_13) & ~ (all_0_9_9 = all_0_16_16) & ~ (all_0_9_9 = e3) & ~ (all_0_9_9 = e2) & ~ (all_0_10_10 = all_0_11_11) & ~ (all_0_10_10 = all_0_12_12) & ~ (all_0_10_10 = all_0_14_14) & ~ (all_0_10_10 = all_0_17_17) & ~ (all_0_10_10 = e3) & ~ (all_0_11_11 = all_0_12_12) & ~ (all_0_11_11 = all_0_19_19) & ~ (all_0_11_11 = e4) & ~ (all_0_11_11 = e3) & ~ (all_0_12_12 = all_0_15_15) & ~ (all_0_12_12 = all_0_20_20) & ~ (all_0_12_12 = e3) & ~ (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 = e4) & ~ (all_0_13_13 = e2) & ~ (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 = e4) & ~ (all_0_14_14 = e0) & ~ (all_0_15_15 = all_0_20_20) & ~ (all_0_15_15 = e4) & ~ (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 = e2) & ~ (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 = e3) & ~ (all_0_18_18 = e0) & ~ (all_0_19_19 = all_0_20_20) & ~ (all_0_19_19 = e4) & ~ (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) = e2 & op(e4, e3) = all_0_0_0 & op(e4, e2) = all_0_1_1 & 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) = all_0_9_9 & op(e2, e3) = all_0_10_10 & op(e2, e2) = e3 & 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) = e0 & op(e1, e1) = e4 & op(e1, e0) = all_0_15_15 & op(e0, unit) = e0 & op(e0, e4) = all_0_16_16 & op(e0, e3) = all_0_17_17 & op(e0, e2) = all_0_18_18 & op(e0, e1) = all_0_19_19 & op(e0, e0) = all_0_20_20 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & (all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e1 | all_0_0_0 = e0) & (all_0_0_0 = e4 | all_0_1_1 = e4 | all_0_3_3 = e4) & (all_0_0_0 = e4 | all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4) & (all_0_0_0 = e3 | all_0_2_2 = e3 | all_0_3_3 = e3) & (all_0_0_0 = e3 | all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3) & (all_0_0_0 = e1 | all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1) & (all_0_0_0 = e1 | all_0_5_5 = e1 | all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_17_17 = e1) & (all_0_0_0 = e0 | all_0_2_2 = e0 | all_0_3_3 = e0) & (all_0_0_0 = e0 | all_0_5_5 = e0 | all_0_10_10 = e0 | all_0_17_17 = e0) & (all_0_1_1 = e4 | all_0_1_1 = e1) & (all_0_1_1 = e4 | all_0_6_6 = e4 | all_0_18_18 = e4) & (all_0_1_1 = e1 | all_0_6_6 = e1 | all_0_18_18 = e1) & (all_0_2_2 = e3 | all_0_2_2 = e1 | all_0_2_2 = e0) & (all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_19_19 = e3) & (all_0_2_2 = e1 | all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1) & (all_0_2_2 = e0 | all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0) & (all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1 | 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_15_15 = e3 | all_0_20_20 = e3) & (all_0_3_3 = e1 | all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1) & (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 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0) & (all_0_4_4 = e4 | all_0_5_5 = e4 | all_0_6_6 = e4 | all_0_8_8 = e4) & (all_0_4_4 = e4 | all_0_9_9 = e4 | all_0_16_16 = e4) & (all_0_4_4 = e3 | all_0_5_5 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3) & (all_0_4_4 = e3 | all_0_13_13 = e3 | all_0_16_16 = e3) & (all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_6_6 = e1 | all_0_7_7 = e1 | all_0_8_8 = e1) & (all_0_4_4 = e1 | all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_16_16 = e1) & (all_0_4_4 = e0 | all_0_5_5 = e0 | all_0_7_7 = e0 | all_0_8_8 = e0) & (all_0_4_4 = e0 | all_0_9_9 = e0 | all_0_16_16 = e0) & (all_0_5_5 = e4 | all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0) & (all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2) & (all_0_5_5 = e2 | all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2) & (all_0_5_5 = e2 | (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_5_5 = e1 | all_0_20_20 = e1) & (all_0_5_5 = e0 | all_0_20_20 = e0) & (all_0_6_6 = e4 | all_0_6_6 = e2 | all_0_6_6 = e1) & (all_0_6_6 = e2 | all_0_18_18 = e2) & (all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1 | all_0_7_7 = e0) & (all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2) & (all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0) & (all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2) & (all_0_9_9 = e4 | all_0_9_9 = e1 | all_0_9_9 = e0) & (all_0_9_9 = e4 | all_0_10_10 = e4 | all_0_12_12 = e4) & (all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1) & (all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0) & (all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0) & (all_0_10_10 = e2 | all_0_11_11 = e2 | all_0_12_12 = e2) & (all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0) & (all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0) & (all_0_13_13 = e3 | all_0_13_13 = e1) & (all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3) & (all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1) & (all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1) & (all_0_14_14 = e2 | all_0_15_15 = e2) & (all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1) & (all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0) & (all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_20_20 = e4) & (all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3) & (all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1) & (all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_19_19 = 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 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2) & (all_0_18_18 = e4 | all_0_18_18 = e2 | all_0_18_18 = e1) & (all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0) & (all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0)
% 7.84/2.41 |
% 7.84/2.41 | Applying alpha-rule on (1) yields:
% 7.84/2.41 | (2) ~ (all_0_5_5 = all_0_14_14)
% 7.84/2.41 | (3) ~ (e4 = e0)
% 7.84/2.41 | (4) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1
% 7.84/2.41 | (5) op(unit, e1) = e1
% 7.84/2.41 | (6) ~ (all_0_15_15 = e4)
% 7.84/2.41 | (7) ~ (all_0_4_4 = all_0_13_13)
% 7.84/2.41 | (8) all_0_5_5 = e1 | all_0_20_20 = e1
% 7.84/2.41 | (9) all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_19_19 = e3
% 7.84/2.41 | (10) ~ (all_0_18_18 = e0)
% 7.84/2.41 | (11) ~ (all_0_2_2 = e2)
% 7.84/2.41 | (12) all_0_1_1 = e4 | all_0_1_1 = e1
% 7.84/2.41 | (13) op(e0, unit) = e0
% 7.84/2.41 | (14) op(e4, e0) = all_0_3_3
% 7.84/2.41 | (15) op(unit, e3) = e3
% 7.84/2.41 | (16) ~ (all_0_13_13 = all_0_16_16)
% 7.84/2.41 | (17) ~ (all_0_18_18 = e3)
% 7.84/2.42 | (18) all_0_5_5 = e4 | all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0
% 7.84/2.42 | (19) all_0_2_2 = e0 | all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 7.84/2.42 | (20) ~ (all_0_8_8 = all_0_20_20)
% 7.84/2.42 | (21) all_0_4_4 = e1 | all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_16_16 = e1
% 7.84/2.42 | (22) op(e1, e3) = all_0_14_14
% 7.84/2.42 | (23) ~ (all_0_16_16 = all_0_17_17)
% 7.84/2.42 | (24) ~ (e4 = e3)
% 7.84/2.42 | (25) all_0_5_5 = e2 | (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))
% 7.84/2.42 | (26) op(e4, e2) = all_0_1_1
% 7.84/2.42 | (27) ~ (all_0_15_15 = all_0_20_20)
% 7.84/2.42 | (28) all_0_3_3 = e1 | all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 7.84/2.42 | (29) op(e1, e0) = all_0_15_15
% 7.84/2.42 | (30) op(e3, e2) = all_0_6_6
% 7.84/2.42 | (31) ~ (all_0_0_0 = all_0_14_14)
% 7.84/2.42 | (32) op(e3, e0) = all_0_8_8
% 7.84/2.42 | (33) all_0_2_2 = e1 | all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1
% 7.84/2.42 | (34) ~ (all_0_6_6 = e3)
% 7.84/2.42 | (35) ~ (all_0_17_17 = all_0_18_18)
% 7.84/2.42 | (36) ~ (all_0_0_0 = all_0_5_5)
% 7.84/2.42 | (37) ~ (all_0_19_19 = e4)
% 7.84/2.42 | (38) ~ (all_0_7_7 = e4)
% 7.84/2.42 | (39) ~ (all_0_4_4 = all_0_5_5)
% 7.84/2.42 | (40) op(e2, e4) = all_0_9_9
% 7.84/2.42 | (41) ~ (all_0_2_2 = all_0_11_11)
% 7.84/2.42 | (42) ~ (all_0_9_9 = e2)
% 7.84/2.42 | (43) ~ (all_0_1_1 = e2)
% 7.84/2.42 | (44) op(e2, e2) = e3
% 7.84/2.42 | (45) ~ (e2 = e0)
% 7.84/2.42 | (46) op(e3, e4) = all_0_4_4
% 7.84/2.42 | (47) ~ (all_0_0_0 = all_0_3_3)
% 7.84/2.42 | (48) ~ (all_0_7_7 = all_0_19_19)
% 7.84/2.42 | (49) ~ (all_0_4_4 = all_0_16_16)
% 7.84/2.42 | (50) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1
% 7.84/2.42 | (51) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 7.84/2.42 | (52) ~ (all_0_7_7 = all_0_8_8)
% 7.84/2.42 | (53) all_0_18_18 = e4 | all_0_18_18 = e2 | all_0_18_18 = e1
% 7.84/2.42 | (54) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 7.84/2.42 | (55) ~ (all_0_7_7 = all_0_11_11)
% 7.84/2.42 | (56) ~ (all_0_11_11 = all_0_19_19)
% 7.84/2.42 | (57) ~ (e3 = e0)
% 7.84/2.42 | (58) ~ (all_0_10_10 = all_0_12_12)
% 7.84/2.42 | (59) all_0_6_6 = e2 | all_0_18_18 = e2
% 7.84/2.42 | (60) all_0_0_0 = e3 | all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 7.84/2.42 | (61) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_20_20 = e4
% 7.84/2.42 | (62) all_0_4_4 = e0 | all_0_5_5 = e0 | all_0_7_7 = e0 | all_0_8_8 = e0
% 7.84/2.42 | (63) ~ (all_0_13_13 = e2)
% 7.84/2.42 | (64) ~ (all_0_0_0 = all_0_2_2)
% 7.84/2.42 | (65) ~ (all_0_3_3 = all_0_15_15)
% 7.84/2.42 | (66) ~ (all_0_16_16 = all_0_19_19)
% 7.84/2.42 | (67) ~ (all_0_13_13 = all_0_14_14)
% 7.84/2.42 | (68) all_0_3_3 = e3 | all_0_8_8 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3
% 7.84/2.42 | (69) op(e0, e3) = all_0_17_17
% 7.84/2.42 | (70) ~ (all_0_5_5 = all_0_7_7)
% 7.84/2.42 | (71) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1 | all_0_3_3 = e0
% 7.84/2.42 | (72) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 7.84/2.42 | (73) all_0_13_13 = e3 | all_0_13_13 = e1
% 7.84/2.42 | (74) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 7.84/2.42 | (75) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 7.84/2.43 | (76) op(e4, unit) = e4
% 7.84/2.43 | (77) op(e0, e0) = all_0_20_20
% 7.84/2.43 | (78) ~ (all_0_4_4 = e2)
% 7.84/2.43 | (79) ~ (all_0_8_8 = all_0_12_12)
% 7.84/2.43 | (80) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 7.84/2.43 | (81) all_0_0_0 = e4 | all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4
% 7.84/2.43 | (82) ~ (all_0_9_9 = all_0_11_11)
% 7.84/2.43 | (83) op(e4, e4) = e2
% 7.84/2.43 | (84) ~ (all_0_10_10 = all_0_11_11)
% 7.84/2.43 | (85) ~ (all_0_14_14 = e4)
% 7.84/2.43 | (86) all_0_3_3 = e4 | all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 7.84/2.43 | (87) ~ (all_0_4_4 = all_0_7_7)
% 7.84/2.43 | (88) ~ (all_0_9_9 = all_0_12_12)
% 7.84/2.43 | (89) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 7.84/2.43 | (90) ~ (all_0_12_12 = e3)
% 7.84/2.43 | (91) all_0_0_0 = e1 | all_0_5_5 = e1 | all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_17_17 = e1
% 7.84/2.43 | (92) ~ (all_0_3_3 = all_0_8_8)
% 7.84/2.43 | (93) op(e1, e4) = all_0_13_13
% 7.84/2.43 | (94) ~ (all_0_14_14 = all_0_15_15)
% 7.84/2.43 | (95) ~ (all_0_0_0 = e2)
% 7.84/2.43 | (96) op(e4, e1) = all_0_2_2
% 7.84/2.43 | (97) all_0_4_4 = e4 | all_0_5_5 = e4 | all_0_6_6 = e4 | all_0_8_8 = e4
% 7.84/2.43 | (98) 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
% 7.84/2.43 | (99) ~ (all_0_9_9 = e3)
% 7.84/2.43 | (100) op(e1, e2) = e0
% 7.84/2.43 | (101) ~ (all_0_10_10 = e3)
% 7.84/2.43 | (102) ~ (all_0_6_6 = all_0_7_7)
% 7.84/2.43 | (103) ~ (all_0_16_16 = all_0_18_18)
% 7.84/2.43 | (104) ~ (all_0_2_2 = all_0_3_3)
% 7.84/2.43 | (105) op(e4, e3) = all_0_0_0
% 7.84/2.43 | (106) op(e0, e4) = all_0_16_16
% 7.84/2.43 | (107) ~ (all_0_14_14 = all_0_17_17)
% 7.84/2.43 | (108) ~ (all_0_16_16 = all_0_20_20)
% 7.84/2.43 | (109) ~ (all_0_5_5 = all_0_6_6)
% 7.84/2.43 | (110) all_0_14_14 = e2 | all_0_15_15 = e2
% 7.84/2.43 | (111) all_0_1_1 = e1 | all_0_6_6 = e1 | all_0_18_18 = e1
% 7.84/2.43 | (112) ~ (all_0_13_13 = e0)
% 7.84/2.43 | (113) ~ (all_0_10_10 = all_0_14_14)
% 7.84/2.43 | (114) ~ (all_0_1_1 = all_0_2_2)
% 7.84/2.43 | (115) ~ (all_0_2_2 = e4)
% 7.84/2.43 | (116) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 7.84/2.43 | (117) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 7.84/2.43 | (118) ~ (all_0_17_17 = all_0_20_20)
% 7.84/2.43 | (119) op(e2, unit) = e2
% 7.84/2.43 | (120) ~ (all_0_15_15 = e0)
% 7.84/2.43 | (121) ~ (all_0_3_3 = all_0_12_12)
% 7.84/2.43 | (122) ~ (e1 = e0)
% 7.84/2.43 | (123) all_0_9_9 = e4 | all_0_9_9 = e1 | all_0_9_9 = e0
% 7.84/2.43 | (124) ~ (e3 = e1)
% 7.84/2.43 | (125) ~ (e2 = e1)
% 7.84/2.43 | (126) op(unit, e4) = e4
% 7.84/2.43 | (127) ~ (all_0_8_8 = all_0_15_15)
% 7.84/2.43 | (128) ~ (all_0_13_13 = e4)
% 7.84/2.43 | (129) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 7.84/2.43 | (130) op(e2, e0) = all_0_12_12
% 7.84/2.43 | (131) ~ (all_0_1_1 = all_0_3_3)
% 7.84/2.43 | (132) ~ (all_0_6_6 = e0)
% 7.84/2.43 | (133) ~ (all_0_12_12 = all_0_15_15)
% 7.84/2.43 | (134) all_0_4_4 = e4 | all_0_9_9 = e4 | all_0_16_16 = e4
% 7.84/2.43 | (135) op(e0, e1) = all_0_19_19
% 7.84/2.43 | (136) op(e3, e1) = all_0_7_7
% 7.84/2.43 | (137) all_0_3_3 = e0 | all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0
% 7.84/2.43 | (138) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 7.84/2.43 | (139) ~ (all_0_13_13 = all_0_15_15)
% 7.84/2.43 | (140) op(e0, e2) = all_0_18_18
% 7.84/2.43 | (141) all_0_5_5 = e0 | all_0_20_20 = e0
% 7.84/2.43 | (142) ~ (all_0_18_18 = all_0_20_20)
% 7.84/2.43 | (143) ~ (all_0_18_18 = all_0_19_19)
% 7.84/2.43 | (144) ~ (all_0_9_9 = all_0_13_13)
% 7.84/2.43 | (145) ~ (all_0_0_0 = all_0_10_10)
% 7.84/2.43 | (146) ~ (all_0_3_3 = all_0_20_20)
% 7.84/2.43 | (147) all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1
% 7.84/2.43 | (148) ~ (all_0_10_10 = all_0_17_17)
% 7.84/2.44 | (149) ~ (all_0_3_3 = e2)
% 7.84/2.44 | (150) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 7.84/2.44 | (151) ~ (all_0_4_4 = all_0_6_6)
% 7.84/2.44 | (152) all_0_2_2 = e3 | all_0_2_2 = e1 | all_0_2_2 = e0
% 7.84/2.44 | (153) ~ (all_0_16_16 = e2)
% 7.84/2.44 | (154) ~ (all_0_1_1 = all_0_6_6)
% 7.84/2.44 | (155) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 7.84/2.44 | (156) ~ (all_0_6_6 = all_0_8_8)
% 7.84/2.44 | (157) ~ (all_0_19_19 = all_0_20_20)
% 7.84/2.44 | (158) op(unit, e2) = e2
% 7.84/2.44 | (159) ~ (all_0_11_11 = all_0_12_12)
% 7.84/2.44 | (160) all_0_4_4 = e3 | all_0_5_5 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 7.84/2.44 | (161) all_0_5_5 = e2 | all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 7.84/2.44 | (162) ~ (all_0_0_0 = all_0_1_1)
% 7.84/2.44 | (163) all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 7.84/2.44 | (164) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 7.84/2.44 | (165) ~ (all_0_2_2 = all_0_7_7)
% 7.84/2.44 | (166) all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_6_6 = e1 | all_0_7_7 = e1 | all_0_8_8 = e1
% 7.84/2.44 | (167) all_0_4_4 = e3 | all_0_13_13 = e3 | all_0_16_16 = e3
% 7.84/2.44 | (168) op(unit, e0) = e0
% 7.84/2.44 | (169) op(e3, unit) = e3
% 7.84/2.44 | (170) ~ (all_0_17_17 = all_0_19_19)
% 7.84/2.44 | (171) all_0_0_0 = e4 | all_0_1_1 = e4 | all_0_3_3 = e4
% 7.84/2.44 | (172) ~ (all_0_0_0 = all_0_17_17)
% 7.84/2.44 | (173) ~ (all_0_1_1 = e3)
% 7.84/2.44 | (174) ~ (all_0_14_14 = e0)
% 7.84/2.44 | (175) ~ (all_0_2_2 = all_0_19_19)
% 7.84/2.44 | (176) op(e1, e1) = e4
% 7.84/2.44 | (177) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 7.84/2.44 | (178) ~ (all_0_1_1 = e0)
% 7.84/2.44 | (179) ~ (all_0_5_5 = all_0_10_10)
% 7.84/2.44 | (180) op(e2, e3) = all_0_10_10
% 7.84/2.44 | (181) op(e1, unit) = e1
% 7.84/2.44 | (182) op(e3, e3) = all_0_5_5
% 7.84/2.44 | (183) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_19_19 = e0 | all_0_20_20 = e0
% 7.84/2.44 | (184) all_0_9_9 = e4 | all_0_10_10 = e4 | all_0_12_12 = e4
% 7.84/2.44 | (185) all_0_0_0 = e0 | all_0_5_5 = e0 | all_0_10_10 = e0 | all_0_17_17 = e0
% 7.84/2.44 | (186) all_0_6_6 = e4 | all_0_6_6 = e2 | all_0_6_6 = e1
% 7.84/2.44 | (187) ~ (all_0_11_11 = e3)
% 7.84/2.44 | (188) ~ (e3 = e2)
% 7.84/2.44 | (189) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e1 | all_0_0_0 = e0
% 7.84/2.44 | (190) all_0_4_4 = e0 | all_0_9_9 = e0 | all_0_16_16 = e0
% 7.84/2.44 | (191) op(e2, e1) = all_0_11_11
% 7.84/2.44 | (192) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1
% 7.84/2.44 | (193) ~ (all_0_12_12 = all_0_20_20)
% 7.84/2.44 | (194) all_0_1_1 = e4 | all_0_6_6 = e4 | all_0_18_18 = e4
% 7.84/2.44 | (195) ~ (e4 = e2)
% 7.84/2.44 | (196) ~ (all_0_4_4 = all_0_9_9)
% 7.84/2.44 | (197) ~ (all_0_9_9 = all_0_10_10)
% 7.84/2.44 | (198) ~ (all_0_5_5 = all_0_17_17)
% 7.84/2.44 | (199) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 7.84/2.44 | (200) ~ (all_0_4_4 = all_0_8_8)
% 7.84/2.44 | (201) all_0_0_0 = e0 | all_0_2_2 = e0 | all_0_3_3 = e0
% 7.84/2.44 | (202) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 7.84/2.44 | (203) all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1 | all_0_7_7 = e0
% 7.84/2.44 | (204) ~ (all_0_1_1 = all_0_18_18)
% 7.84/2.44 | (205) all_0_0_0 = e1 | all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1
% 7.84/2.44 | (206) ~ (all_0_5_5 = all_0_8_8)
% 7.84/2.44 | (207) all_0_0_0 = e3 | all_0_2_2 = e3 | all_0_3_3 = e3
% 7.84/2.44 | (208) all_0_10_10 = e2 | all_0_11_11 = e2 | all_0_12_12 = e2
% 7.84/2.44 | (209) ~ (e4 = e1)
% 7.84/2.44 | (210) ~ (all_0_6_6 = all_0_18_18)
% 7.84/2.44 | (211) ~ (all_0_9_9 = all_0_16_16)
% 7.84/2.44 | (212) ~ (all_0_11_11 = e4)
% 7.84/2.44 |
% 7.84/2.44 +-Applying beta-rule and splitting (12), into two cases.
% 7.84/2.44 |-Branch one:
% 7.84/2.44 | (213) all_0_1_1 = e1
% 7.84/2.44 |
% 7.84/2.44 | Equations (213) can reduce 173 to:
% 7.84/2.44 | (214) ~ (e3 = e1)
% 7.84/2.44 |
% 7.84/2.44 | Simplifying 214 yields:
% 7.84/2.44 | (124) ~ (e3 = e1)
% 7.84/2.44 |
% 7.84/2.44 | Equations (213) can reduce 43 to:
% 7.84/2.44 | (216) ~ (e2 = e1)
% 7.84/2.44 |
% 7.84/2.44 | Simplifying 216 yields:
% 7.84/2.44 | (125) ~ (e2 = e1)
% 7.84/2.44 |
% 7.84/2.44 | Equations (213) can reduce 178 to:
% 7.84/2.44 | (122) ~ (e1 = e0)
% 7.84/2.44 |
% 7.84/2.44 +-Applying beta-rule and splitting (8), into two cases.
% 7.84/2.44 |-Branch one:
% 7.84/2.44 | (219) all_0_5_5 = e1
% 7.84/2.44 |
% 7.84/2.44 +-Applying beta-rule and splitting (141), into two cases.
% 7.84/2.44 |-Branch one:
% 7.84/2.44 | (220) all_0_5_5 = e0
% 7.84/2.44 |
% 7.84/2.44 | Combining equations (219,220) yields a new equation:
% 7.84/2.44 | (221) e1 = e0
% 7.84/2.44 |
% 7.84/2.44 | Simplifying 221 yields:
% 7.84/2.44 | (222) e1 = e0
% 7.84/2.44 |
% 7.84/2.44 | Equations (222) can reduce 122 to:
% 7.84/2.44 | (223) $false
% 7.84/2.44 |
% 7.84/2.44 |-The branch is then unsatisfiable
% 7.84/2.44 |-Branch two:
% 7.84/2.44 | (224) ~ (all_0_5_5 = e0)
% 7.84/2.44 | (225) all_0_20_20 = e0
% 7.84/2.44 |
% 7.84/2.44 | Equations (219) can reduce 224 to:
% 7.84/2.44 | (122) ~ (e1 = e0)
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (25), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (227) all_0_5_5 = e2
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (219,227) yields a new equation:
% 7.84/2.45 | (228) e2 = e1
% 7.84/2.45 |
% 7.84/2.45 | Equations (228) can reduce 125 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (230) ~ (all_0_5_5 = e2)
% 7.84/2.45 | (231) (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))
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (231), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (232) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 7.84/2.45 |
% 7.84/2.45 | Applying alpha-rule on (232) yields:
% 7.84/2.45 | (220) all_0_5_5 = e0
% 7.84/2.45 | (234) all_0_20_20 = e3
% 7.84/2.45 | (235) ~ (all_0_8_8 = e3)
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (220,219) yields a new equation:
% 7.84/2.45 | (222) e1 = e0
% 7.84/2.45 |
% 7.84/2.45 | Equations (222) can reduce 122 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (238) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 7.84/2.45 |
% 7.84/2.45 | Applying alpha-rule on (238) yields:
% 7.84/2.45 | (220) all_0_5_5 = e0
% 7.84/2.45 | (234) all_0_20_20 = e3
% 7.84/2.45 | (241) ~ (all_0_17_17 = e0)
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (220,219) yields a new equation:
% 7.84/2.45 | (222) e1 = e0
% 7.84/2.45 |
% 7.84/2.45 | Equations (222) can reduce 122 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (244) ~ (all_0_5_5 = e1)
% 7.84/2.45 | (245) all_0_20_20 = e1
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (141), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (220) all_0_5_5 = e0
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (25), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (227) all_0_5_5 = e2
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (220,227) yields a new equation:
% 7.84/2.45 | (248) e2 = e0
% 7.84/2.45 |
% 7.84/2.45 | Equations (248) can reduce 45 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (230) ~ (all_0_5_5 = e2)
% 7.84/2.45 | (231) (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))
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (231), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (232) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 7.84/2.45 |
% 7.84/2.45 | Applying alpha-rule on (232) yields:
% 7.84/2.45 | (220) all_0_5_5 = e0
% 7.84/2.45 | (234) all_0_20_20 = e3
% 7.84/2.45 | (235) ~ (all_0_8_8 = e3)
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (234,245) yields a new equation:
% 7.84/2.45 | (256) e3 = e1
% 7.84/2.45 |
% 7.84/2.45 | Simplifying 256 yields:
% 7.84/2.45 | (257) e3 = e1
% 7.84/2.45 |
% 7.84/2.45 | Equations (257) can reduce 124 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (238) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 7.84/2.45 |
% 7.84/2.45 | Applying alpha-rule on (238) yields:
% 7.84/2.45 | (220) all_0_5_5 = e0
% 7.84/2.45 | (234) all_0_20_20 = e3
% 7.84/2.45 | (241) ~ (all_0_17_17 = e0)
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (234,245) yields a new equation:
% 7.84/2.45 | (256) e3 = e1
% 7.84/2.45 |
% 7.84/2.45 | Simplifying 256 yields:
% 7.84/2.45 | (257) e3 = e1
% 7.84/2.45 |
% 7.84/2.45 | Equations (257) can reduce 124 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (224) ~ (all_0_5_5 = e0)
% 7.84/2.45 | (225) all_0_20_20 = e0
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (245,225) yields a new equation:
% 7.84/2.45 | (221) e1 = e0
% 7.84/2.45 |
% 7.84/2.45 | Simplifying 221 yields:
% 7.84/2.45 | (222) e1 = e0
% 7.84/2.45 |
% 7.84/2.45 | Equations (222) can reduce 122 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (271) ~ (all_0_1_1 = e1)
% 7.84/2.45 | (272) all_0_1_1 = e4
% 7.84/2.45 |
% 7.84/2.45 | Equations (272) can reduce 162 to:
% 7.84/2.45 | (273) ~ (all_0_0_0 = e4)
% 7.84/2.45 |
% 7.84/2.45 | Equations (272) can reduce 131 to:
% 7.84/2.45 | (274) ~ (all_0_3_3 = e4)
% 7.84/2.45 |
% 7.84/2.45 | Simplifying 274 yields:
% 7.84/2.45 | (275) ~ (all_0_3_3 = e4)
% 7.84/2.45 |
% 7.84/2.45 | Equations (272) can reduce 154 to:
% 7.84/2.45 | (276) ~ (all_0_6_6 = e4)
% 7.84/2.45 |
% 7.84/2.45 | Simplifying 276 yields:
% 7.84/2.45 | (277) ~ (all_0_6_6 = e4)
% 7.84/2.45 |
% 7.84/2.45 | Equations (272) can reduce 204 to:
% 7.84/2.45 | (278) ~ (all_0_18_18 = e4)
% 7.84/2.45 |
% 7.84/2.45 | Simplifying 278 yields:
% 7.84/2.45 | (279) ~ (all_0_18_18 = e4)
% 7.84/2.45 |
% 7.84/2.45 | Equations (272) can reduce 271 to:
% 7.84/2.45 | (209) ~ (e4 = e1)
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (73), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (281) all_0_13_13 = e1
% 7.84/2.45 |
% 7.84/2.45 | Equations (281) can reduce 63 to:
% 7.84/2.45 | (216) ~ (e2 = e1)
% 7.84/2.45 |
% 7.84/2.45 | Simplifying 216 yields:
% 7.84/2.45 | (125) ~ (e2 = e1)
% 7.84/2.45 |
% 7.84/2.45 | Equations (281) can reduce 112 to:
% 7.84/2.45 | (122) ~ (e1 = e0)
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (8), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (219) all_0_5_5 = e1
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (141), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (220) all_0_5_5 = e0
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (219,220) yields a new equation:
% 7.84/2.45 | (221) e1 = e0
% 7.84/2.45 |
% 7.84/2.45 | Simplifying 221 yields:
% 7.84/2.45 | (222) e1 = e0
% 7.84/2.45 |
% 7.84/2.45 | Equations (222) can reduce 122 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (224) ~ (all_0_5_5 = e0)
% 7.84/2.45 | (225) all_0_20_20 = e0
% 7.84/2.45 |
% 7.84/2.45 | Equations (219) can reduce 224 to:
% 7.84/2.45 | (122) ~ (e1 = e0)
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (25), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (227) all_0_5_5 = e2
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (219,227) yields a new equation:
% 7.84/2.45 | (228) e2 = e1
% 7.84/2.45 |
% 7.84/2.45 | Equations (228) can reduce 125 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (230) ~ (all_0_5_5 = e2)
% 7.84/2.45 | (231) (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))
% 7.84/2.45 |
% 7.84/2.45 +-Applying beta-rule and splitting (231), into two cases.
% 7.84/2.45 |-Branch one:
% 7.84/2.45 | (232) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 7.84/2.45 |
% 7.84/2.45 | Applying alpha-rule on (232) yields:
% 7.84/2.45 | (220) all_0_5_5 = e0
% 7.84/2.45 | (234) all_0_20_20 = e3
% 7.84/2.45 | (235) ~ (all_0_8_8 = e3)
% 7.84/2.45 |
% 7.84/2.45 | Combining equations (220,219) yields a new equation:
% 7.84/2.45 | (222) e1 = e0
% 7.84/2.45 |
% 7.84/2.45 | Equations (222) can reduce 122 to:
% 7.84/2.45 | (223) $false
% 7.84/2.45 |
% 7.84/2.45 |-The branch is then unsatisfiable
% 7.84/2.45 |-Branch two:
% 7.84/2.45 | (238) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 7.84/2.45 |
% 7.84/2.45 | Applying alpha-rule on (238) yields:
% 7.84/2.45 | (220) all_0_5_5 = e0
% 7.84/2.46 | (234) all_0_20_20 = e3
% 7.84/2.46 | (241) ~ (all_0_17_17 = e0)
% 7.84/2.46 |
% 7.84/2.46 | Combining equations (220,219) yields a new equation:
% 7.84/2.46 | (222) e1 = e0
% 7.84/2.46 |
% 7.84/2.46 | Equations (222) can reduce 122 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (244) ~ (all_0_5_5 = e1)
% 7.84/2.46 | (245) all_0_20_20 = e1
% 7.84/2.46 |
% 7.84/2.46 | Equations (245) can reduce 142 to:
% 7.84/2.46 | (312) ~ (all_0_18_18 = e1)
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (141), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (220) all_0_5_5 = e0
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (53), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (314) all_0_18_18 = e1
% 7.84/2.46 |
% 7.84/2.46 | Equations (314) can reduce 312 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (312) ~ (all_0_18_18 = e1)
% 7.84/2.46 | (317) all_0_18_18 = e4 | all_0_18_18 = e2
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (317), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (318) all_0_18_18 = e4
% 7.84/2.46 |
% 7.84/2.46 | Equations (318) can reduce 279 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (279) ~ (all_0_18_18 = e4)
% 7.84/2.46 | (321) all_0_18_18 = e2
% 7.84/2.46 |
% 7.84/2.46 | Equations (321) can reduce 10 to:
% 7.84/2.46 | (45) ~ (e2 = e0)
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (25), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (227) all_0_5_5 = e2
% 7.84/2.46 |
% 7.84/2.46 | Combining equations (227,220) yields a new equation:
% 7.84/2.46 | (324) e2 = e0
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 324 yields:
% 7.84/2.46 | (248) e2 = e0
% 7.84/2.46 |
% 7.84/2.46 | Equations (248) can reduce 45 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (230) ~ (all_0_5_5 = e2)
% 7.84/2.46 | (231) (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))
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (231), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (232) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 7.84/2.46 |
% 7.84/2.46 | Applying alpha-rule on (232) yields:
% 7.84/2.46 | (220) all_0_5_5 = e0
% 7.84/2.46 | (234) all_0_20_20 = e3
% 7.84/2.46 | (235) ~ (all_0_8_8 = e3)
% 7.84/2.46 |
% 7.84/2.46 | Combining equations (234,245) yields a new equation:
% 7.84/2.46 | (256) e3 = e1
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 256 yields:
% 7.84/2.46 | (257) e3 = e1
% 7.84/2.46 |
% 7.84/2.46 | Equations (257) can reduce 124 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (238) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 7.84/2.46 |
% 7.84/2.46 | Applying alpha-rule on (238) yields:
% 7.84/2.46 | (220) all_0_5_5 = e0
% 7.84/2.46 | (234) all_0_20_20 = e3
% 7.84/2.46 | (241) ~ (all_0_17_17 = e0)
% 7.84/2.46 |
% 7.84/2.46 | Combining equations (234,245) yields a new equation:
% 7.84/2.46 | (256) e3 = e1
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 256 yields:
% 7.84/2.46 | (257) e3 = e1
% 7.84/2.46 |
% 7.84/2.46 | Equations (257) can reduce 124 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (224) ~ (all_0_5_5 = e0)
% 7.84/2.46 | (225) all_0_20_20 = e0
% 7.84/2.46 |
% 7.84/2.46 | Combining equations (225,245) yields a new equation:
% 7.84/2.46 | (222) e1 = e0
% 7.84/2.46 |
% 7.84/2.46 | Equations (222) can reduce 122 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (347) ~ (all_0_13_13 = e1)
% 7.84/2.46 | (348) all_0_13_13 = e3
% 7.84/2.46 |
% 7.84/2.46 | Equations (348) can reduce 67 to:
% 7.84/2.46 | (349) ~ (all_0_14_14 = e3)
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 349 yields:
% 7.84/2.46 | (350) ~ (all_0_14_14 = e3)
% 7.84/2.46 |
% 7.84/2.46 | Equations (348) can reduce 139 to:
% 7.84/2.46 | (351) ~ (all_0_15_15 = e3)
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 351 yields:
% 7.84/2.46 | (352) ~ (all_0_15_15 = e3)
% 7.84/2.46 |
% 7.84/2.46 | Equations (348) can reduce 16 to:
% 7.84/2.46 | (353) ~ (all_0_16_16 = e3)
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 353 yields:
% 7.84/2.46 | (354) ~ (all_0_16_16 = e3)
% 7.84/2.46 |
% 7.84/2.46 | Equations (348) can reduce 347 to:
% 7.84/2.46 | (124) ~ (e3 = e1)
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (8), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (219) all_0_5_5 = e1
% 7.84/2.46 |
% 7.84/2.46 | Equations (219) can reduce 36 to:
% 7.84/2.46 | (357) ~ (all_0_0_0 = e1)
% 7.84/2.46 |
% 7.84/2.46 | Equations (219) can reduce 39 to:
% 7.84/2.46 | (358) ~ (all_0_4_4 = e1)
% 7.84/2.46 |
% 7.84/2.46 | Equations (219) can reduce 109 to:
% 7.84/2.46 | (359) ~ (all_0_6_6 = e1)
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 359 yields:
% 7.84/2.46 | (360) ~ (all_0_6_6 = e1)
% 7.84/2.46 |
% 7.84/2.46 | Equations (219) can reduce 179 to:
% 7.84/2.46 | (361) ~ (all_0_10_10 = e1)
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 361 yields:
% 7.84/2.46 | (362) ~ (all_0_10_10 = e1)
% 7.84/2.46 |
% 7.84/2.46 | Equations (219) can reduce 2 to:
% 7.84/2.46 | (363) ~ (all_0_14_14 = e1)
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 363 yields:
% 7.84/2.46 | (364) ~ (all_0_14_14 = e1)
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (141), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (220) all_0_5_5 = e0
% 7.84/2.46 |
% 7.84/2.46 | Combining equations (219,220) yields a new equation:
% 7.84/2.46 | (221) e1 = e0
% 7.84/2.46 |
% 7.84/2.46 | Simplifying 221 yields:
% 7.84/2.46 | (222) e1 = e0
% 7.84/2.46 |
% 7.84/2.46 | Equations (222) can reduce 122 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (224) ~ (all_0_5_5 = e0)
% 7.84/2.46 | (225) all_0_20_20 = e0
% 7.84/2.46 |
% 7.84/2.46 | Equations (225) can reduce 146 to:
% 7.84/2.46 | (371) ~ (all_0_3_3 = e0)
% 7.84/2.46 |
% 7.84/2.46 | Equations (225) can reduce 27 to:
% 7.84/2.46 | (120) ~ (all_0_15_15 = e0)
% 7.84/2.46 |
% 7.84/2.46 | Equations (225) can reduce 108 to:
% 7.84/2.46 | (373) ~ (all_0_16_16 = e0)
% 7.84/2.46 |
% 7.84/2.46 | Equations (225) can reduce 157 to:
% 7.84/2.46 | (374) ~ (all_0_19_19 = e0)
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (147), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (375) all_0_14_14 = e1
% 7.84/2.46 |
% 7.84/2.46 | Equations (375) can reduce 364 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (364) ~ (all_0_14_14 = e1)
% 7.84/2.46 | (378) all_0_14_14 = e3 | all_0_14_14 = e2
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (186), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (379) all_0_6_6 = e1
% 7.84/2.46 |
% 7.84/2.46 | Equations (379) can reduce 360 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (360) ~ (all_0_6_6 = e1)
% 7.84/2.46 | (382) all_0_6_6 = e4 | all_0_6_6 = e2
% 7.84/2.46 |
% 7.84/2.46 +-Applying beta-rule and splitting (378), into two cases.
% 7.84/2.46 |-Branch one:
% 7.84/2.46 | (383) all_0_14_14 = e3
% 7.84/2.46 |
% 7.84/2.46 | Equations (383) can reduce 350 to:
% 7.84/2.46 | (223) $false
% 7.84/2.46 |
% 7.84/2.46 |-The branch is then unsatisfiable
% 7.84/2.46 |-Branch two:
% 7.84/2.46 | (350) ~ (all_0_14_14 = e3)
% 7.84/2.46 | (386) all_0_14_14 = e2
% 7.84/2.47 |
% 7.84/2.47 | Equations (386) can reduce 31 to:
% 7.84/2.47 | (95) ~ (all_0_0_0 = e2)
% 7.84/2.47 |
% 7.84/2.47 | Equations (386) can reduce 107 to:
% 7.84/2.47 | (388) ~ (all_0_17_17 = e2)
% 7.84/2.47 |
% 7.84/2.47 | Simplifying 388 yields:
% 7.84/2.47 | (389) ~ (all_0_17_17 = e2)
% 7.84/2.47 |
% 7.84/2.47 | Equations (386) can reduce 364 to:
% 7.84/2.47 | (125) ~ (e2 = e1)
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (111), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (213) all_0_1_1 = e1
% 7.84/2.47 |
% 7.84/2.47 | Combining equations (213,272) yields a new equation:
% 7.84/2.47 | (392) e4 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (392) can reduce 209 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (271) ~ (all_0_1_1 = e1)
% 7.84/2.47 | (395) all_0_6_6 = e1 | all_0_18_18 = e1
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (89), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (281) all_0_13_13 = e1
% 7.84/2.47 |
% 7.84/2.47 | Combining equations (348,281) yields a new equation:
% 7.84/2.47 | (256) e3 = e1
% 7.84/2.47 |
% 7.84/2.47 | Simplifying 256 yields:
% 7.84/2.47 | (257) e3 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (257) can reduce 124 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (347) ~ (all_0_13_13 = e1)
% 7.84/2.47 | (401) all_0_14_14 = e1 | all_0_15_15 = e1
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (395), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (379) all_0_6_6 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (379) can reduce 360 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (360) ~ (all_0_6_6 = e1)
% 7.84/2.47 | (314) all_0_18_18 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (314) can reduce 210 to:
% 7.84/2.47 | (360) ~ (all_0_6_6 = e1)
% 7.84/2.47 |
% 7.84/2.47 | Equations (314) can reduce 103 to:
% 7.84/2.47 | (407) ~ (all_0_16_16 = e1)
% 7.84/2.47 |
% 7.84/2.47 | Equations (314) can reduce 35 to:
% 7.84/2.47 | (408) ~ (all_0_17_17 = e1)
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (59), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (409) all_0_6_6 = e2
% 7.84/2.47 |
% 7.84/2.47 | Equations (409) can reduce 156 to:
% 7.84/2.47 | (410) ~ (all_0_8_8 = e2)
% 7.84/2.47 |
% 7.84/2.47 | Simplifying 410 yields:
% 7.84/2.47 | (411) ~ (all_0_8_8 = e2)
% 7.84/2.47 |
% 7.84/2.47 | Equations (409) can reduce 360 to:
% 7.84/2.47 | (125) ~ (e2 = e1)
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (401), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (375) all_0_14_14 = e1
% 7.84/2.47 |
% 7.84/2.47 | Combining equations (375,386) yields a new equation:
% 7.84/2.47 | (228) e2 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (228) can reduce 125 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (364) ~ (all_0_14_14 = e1)
% 7.84/2.47 | (417) all_0_15_15 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (417) can reduce 65 to:
% 7.84/2.47 | (418) ~ (all_0_3_3 = e1)
% 7.84/2.47 |
% 7.84/2.47 | Equations (417) can reduce 127 to:
% 7.84/2.47 | (419) ~ (all_0_8_8 = e1)
% 7.84/2.47 |
% 7.84/2.47 | Equations (417) can reduce 120 to:
% 7.84/2.47 | (122) ~ (e1 = e0)
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (21), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (421) all_0_4_4 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (421) can reduce 358 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (358) ~ (all_0_4_4 = e1)
% 7.84/2.47 | (424) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_16_16 = e1
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (117), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (425) all_0_16_16 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (425) can reduce 407 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (407) ~ (all_0_16_16 = e1)
% 7.84/2.47 | (428) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e0
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (428), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (429) all_0_16_16 = e0
% 7.84/2.47 |
% 7.84/2.47 | Equations (429) can reduce 373 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (373) ~ (all_0_16_16 = e0)
% 7.84/2.47 | (432) all_0_16_16 = e4 | all_0_16_16 = e3
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (432), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (433) all_0_16_16 = e3
% 7.84/2.47 |
% 7.84/2.47 | Equations (433) can reduce 354 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (354) ~ (all_0_16_16 = e3)
% 7.84/2.47 | (436) all_0_16_16 = e4
% 7.84/2.47 |
% 7.84/2.47 | Equations (436) can reduce 211 to:
% 7.84/2.47 | (437) ~ (all_0_9_9 = e4)
% 7.84/2.47 |
% 7.84/2.47 | Equations (436) can reduce 23 to:
% 7.84/2.47 | (438) ~ (all_0_17_17 = e4)
% 7.84/2.47 |
% 7.84/2.47 | Simplifying 438 yields:
% 7.84/2.47 | (439) ~ (all_0_17_17 = e4)
% 7.84/2.47 |
% 7.84/2.47 | Equations (436) can reduce 153 to:
% 7.84/2.47 | (195) ~ (e4 = e2)
% 7.84/2.47 |
% 7.84/2.47 | Equations (436) can reduce 407 to:
% 7.84/2.47 | (209) ~ (e4 = e1)
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (71), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (442) all_0_3_3 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (442) can reduce 418 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (418) ~ (all_0_3_3 = e1)
% 7.84/2.47 | (445) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (445), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (446) all_0_3_3 = e0
% 7.84/2.47 |
% 7.84/2.47 | Equations (446) can reduce 371 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (371) ~ (all_0_3_3 = e0)
% 7.84/2.47 | (449) all_0_3_3 = e4 | all_0_3_3 = e3
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (449), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (450) all_0_3_3 = e3
% 7.84/2.47 |
% 7.84/2.47 | Equations (450) can reduce 104 to:
% 7.84/2.47 | (451) ~ (all_0_2_2 = e3)
% 7.84/2.47 |
% 7.84/2.47 | Equations (450) can reduce 92 to:
% 7.84/2.47 | (452) ~ (all_0_8_8 = e3)
% 7.84/2.47 |
% 7.84/2.47 | Simplifying 452 yields:
% 7.84/2.47 | (235) ~ (all_0_8_8 = e3)
% 7.84/2.47 |
% 7.84/2.47 | Equations (450) can reduce 121 to:
% 7.84/2.47 | (454) ~ (all_0_12_12 = e3)
% 7.84/2.47 |
% 7.84/2.47 | Simplifying 454 yields:
% 7.84/2.47 | (90) ~ (all_0_12_12 = e3)
% 7.84/2.47 |
% 7.84/2.47 | Equations (450) can reduce 275 to:
% 7.84/2.47 | (456) ~ (e4 = e3)
% 7.84/2.47 |
% 7.84/2.47 | Simplifying 456 yields:
% 7.84/2.47 | (24) ~ (e4 = e3)
% 7.84/2.47 |
% 7.84/2.47 | Equations (450) can reduce 418 to:
% 7.84/2.47 | (124) ~ (e3 = e1)
% 7.84/2.47 |
% 7.84/2.47 | Equations (450) can reduce 371 to:
% 7.84/2.47 | (57) ~ (e3 = e0)
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (189), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (460) all_0_0_0 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (460) can reduce 357 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (357) ~ (all_0_0_0 = e1)
% 7.84/2.47 | (463) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e0
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (205), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (460) all_0_0_0 = e1
% 7.84/2.47 |
% 7.84/2.47 | Equations (460) can reduce 357 to:
% 7.84/2.47 | (223) $false
% 7.84/2.47 |
% 7.84/2.47 |-The branch is then unsatisfiable
% 7.84/2.47 |-Branch two:
% 7.84/2.47 | (357) ~ (all_0_0_0 = e1)
% 7.84/2.47 | (467) all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1
% 7.84/2.47 |
% 7.84/2.47 +-Applying beta-rule and splitting (463), into two cases.
% 7.84/2.47 |-Branch one:
% 7.84/2.47 | (468) all_0_0_0 = e0
% 7.84/2.47 |
% 7.84/2.47 | Equations (468) can reduce 64 to:
% 7.84/2.47 | (469) ~ (all_0_2_2 = e0)
% 7.84/2.47 |
% 7.84/2.47 | Simplifying 469 yields:
% 7.84/2.48 | (470) ~ (all_0_2_2 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Equations (468) can reduce 273 to:
% 7.84/2.48 | (471) ~ (e4 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 471 yields:
% 7.84/2.48 | (3) ~ (e4 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Equations (468) can reduce 95 to:
% 7.84/2.48 | (473) ~ (e2 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 473 yields:
% 7.84/2.48 | (45) ~ (e2 = e0)
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (152), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (475) all_0_2_2 = e1
% 7.84/2.48 |
% 7.84/2.48 | Equations (475) can reduce 165 to:
% 7.84/2.48 | (476) ~ (all_0_7_7 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 476 yields:
% 7.84/2.48 | (477) ~ (all_0_7_7 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Equations (475) can reduce 41 to:
% 7.84/2.48 | (478) ~ (all_0_11_11 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 478 yields:
% 7.84/2.48 | (479) ~ (all_0_11_11 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Equations (475) can reduce 11 to:
% 7.84/2.48 | (216) ~ (e2 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 216 yields:
% 7.84/2.48 | (125) ~ (e2 = e1)
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (177), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (482) all_0_10_10 = e1
% 7.84/2.48 |
% 7.84/2.48 | Equations (482) can reduce 362 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (362) ~ (all_0_10_10 = e1)
% 7.84/2.48 | (485) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e0
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (72), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (421) all_0_4_4 = e1
% 7.84/2.48 |
% 7.84/2.48 | Equations (421) can reduce 358 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (358) ~ (all_0_4_4 = e1)
% 7.84/2.48 | (489) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e0
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (489), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (490) all_0_4_4 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (490) can reduce 87 to:
% 7.84/2.48 | (491) ~ (all_0_7_7 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 491 yields:
% 7.84/2.48 | (492) ~ (all_0_7_7 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Equations (490) can reduce 196 to:
% 7.84/2.48 | (493) ~ (all_0_9_9 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 493 yields:
% 7.84/2.48 | (494) ~ (all_0_9_9 = e0)
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (123), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (495) all_0_9_9 = e1
% 7.84/2.48 |
% 7.84/2.48 | Equations (495) can reduce 82 to:
% 7.84/2.48 | (478) ~ (all_0_11_11 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 478 yields:
% 7.84/2.48 | (479) ~ (all_0_11_11 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Equations (495) can reduce 42 to:
% 7.84/2.48 | (216) ~ (e2 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 216 yields:
% 7.84/2.48 | (125) ~ (e2 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Equations (495) can reduce 494 to:
% 7.84/2.48 | (122) ~ (e1 = e0)
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (19), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (501) all_0_2_2 = e0
% 7.84/2.48 |
% 7.84/2.48 | Combining equations (501,475) yields a new equation:
% 7.84/2.48 | (222) e1 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (222) can reduce 122 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (470) ~ (all_0_2_2 = e0)
% 7.84/2.48 | (505) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (25), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (227) all_0_5_5 = e2
% 7.84/2.48 |
% 7.84/2.48 | Combining equations (227,219) yields a new equation:
% 7.84/2.48 | (507) e2 = e1
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 507 yields:
% 7.84/2.48 | (228) e2 = e1
% 7.84/2.48 |
% 7.84/2.48 | Equations (228) can reduce 125 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (230) ~ (all_0_5_5 = e2)
% 7.84/2.48 | (231) (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))
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (505), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (512) all_0_7_7 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (512) can reduce 492 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (492) ~ (all_0_7_7 = e0)
% 7.84/2.48 | (515) all_0_11_11 = e0 | all_0_19_19 = e0
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (515), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (516) all_0_11_11 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (516) can reduce 479 to:
% 7.84/2.48 | (517) ~ (e1 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 517 yields:
% 7.84/2.48 | (122) ~ (e1 = e0)
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (231), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (232) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 7.84/2.48 |
% 7.84/2.48 | Applying alpha-rule on (232) yields:
% 7.84/2.48 | (220) all_0_5_5 = e0
% 7.84/2.48 | (234) all_0_20_20 = e3
% 7.84/2.48 | (235) ~ (all_0_8_8 = e3)
% 7.84/2.48 |
% 7.84/2.48 | Combining equations (219,220) yields a new equation:
% 7.84/2.48 | (221) e1 = e0
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 221 yields:
% 7.84/2.48 | (222) e1 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (222) can reduce 122 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (238) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Applying alpha-rule on (238) yields:
% 7.84/2.48 | (220) all_0_5_5 = e0
% 7.84/2.48 | (234) all_0_20_20 = e3
% 7.84/2.48 | (241) ~ (all_0_17_17 = e0)
% 7.84/2.48 |
% 7.84/2.48 | Combining equations (219,220) yields a new equation:
% 7.84/2.48 | (221) e1 = e0
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 221 yields:
% 7.84/2.48 | (222) e1 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (222) can reduce 122 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (533) ~ (all_0_11_11 = e0)
% 7.84/2.48 | (534) all_0_19_19 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (534) can reduce 374 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (536) ~ (all_0_9_9 = e1)
% 7.84/2.48 | (537) all_0_9_9 = e4 | all_0_9_9 = e0
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (537), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (538) all_0_9_9 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (538) can reduce 494 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (494) ~ (all_0_9_9 = e0)
% 7.84/2.48 | (541) all_0_9_9 = e4
% 7.84/2.48 |
% 7.84/2.48 | Equations (541) can reduce 437 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (543) ~ (all_0_4_4 = e0)
% 7.84/2.48 | (544) all_0_4_4 = e4 | all_0_4_4 = e3
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (190), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (490) all_0_4_4 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (490) can reduce 543 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (543) ~ (all_0_4_4 = e0)
% 7.84/2.48 | (548) all_0_9_9 = e0 | all_0_16_16 = e0
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (25), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (227) all_0_5_5 = e2
% 7.84/2.48 |
% 7.84/2.48 | Combining equations (227,219) yields a new equation:
% 7.84/2.48 | (507) e2 = e1
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 507 yields:
% 7.84/2.48 | (228) e2 = e1
% 7.84/2.48 |
% 7.84/2.48 | Equations (228) can reduce 125 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (230) ~ (all_0_5_5 = e2)
% 7.84/2.48 | (231) (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))
% 7.84/2.48 |
% 7.84/2.48 | Equations (219) can reduce 230 to:
% 7.84/2.48 | (216) ~ (e2 = e1)
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 216 yields:
% 7.84/2.48 | (125) ~ (e2 = e1)
% 7.84/2.48 |
% 7.84/2.48 +-Applying beta-rule and splitting (81), into two cases.
% 7.84/2.48 |-Branch one:
% 7.84/2.48 | (557) all_0_0_0 = e4
% 7.84/2.48 |
% 7.84/2.48 | Combining equations (557,468) yields a new equation:
% 7.84/2.48 | (558) e4 = e0
% 7.84/2.48 |
% 7.84/2.48 | Simplifying 558 yields:
% 7.84/2.48 | (559) e4 = e0
% 7.84/2.48 |
% 7.84/2.48 | Equations (559) can reduce 3 to:
% 7.84/2.48 | (223) $false
% 7.84/2.48 |
% 7.84/2.48 |-The branch is then unsatisfiable
% 7.84/2.48 |-Branch two:
% 7.84/2.48 | (273) ~ (all_0_0_0 = e4)
% 8.26/2.48 | (562) all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4
% 8.26/2.48 |
% 8.26/2.48 | Equations (468) can reduce 273 to:
% 8.26/2.49 | (471) ~ (e4 = e0)
% 8.26/2.49 |
% 8.26/2.49 | Simplifying 471 yields:
% 8.26/2.49 | (3) ~ (e4 = e0)
% 8.26/2.49 |
% 8.26/2.49 +-Applying beta-rule and splitting (199), into two cases.
% 8.26/2.49 |-Branch one:
% 8.26/2.49 | (565) all_0_8_8 = e2
% 8.26/2.49 |
% 8.26/2.49 | Equations (565) can reduce 411 to:
% 8.26/2.49 | (223) $false
% 8.26/2.49 |
% 8.26/2.49 |-The branch is then unsatisfiable
% 8.26/2.49 |-Branch two:
% 8.26/2.49 | (411) ~ (all_0_8_8 = e2)
% 8.26/2.49 | (568) all_0_12_12 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 8.26/2.49 |
% 8.26/2.49 +-Applying beta-rule and splitting (54), into two cases.
% 8.26/2.49 |-Branch one:
% 8.26/2.49 | (569) all_0_17_17 = e2
% 8.26/2.49 |
% 8.26/2.49 | Equations (569) can reduce 389 to:
% 8.26/2.49 | (223) $false
% 8.26/2.49 |
% 8.26/2.49 |-The branch is then unsatisfiable
% 8.26/2.49 |-Branch two:
% 8.26/2.49 | (389) ~ (all_0_17_17 = e2)
% 8.26/2.49 | (572) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 8.26/2.49 |
% 8.26/2.49 +-Applying beta-rule and splitting (572), into two cases.
% 8.26/2.49 |-Branch one:
% 8.26/2.49 | (321) all_0_18_18 = e2
% 8.26/2.49 |
% 8.26/2.49 | Combining equations (321,314) yields a new equation:
% 8.26/2.49 | (507) e2 = e1
% 8.26/2.49 |
% 8.26/2.49 | Simplifying 507 yields:
% 8.26/2.49 | (228) e2 = e1
% 8.26/2.49 |
% 8.26/2.49 | Equations (228) can reduce 125 to:
% 8.26/2.49 | (223) $false
% 8.26/2.49 |
% 8.26/2.49 |-The branch is then unsatisfiable
% 8.26/2.49 |-Branch two:
% 8.26/2.49 | (577) ~ (all_0_18_18 = e2)
% 8.26/2.49 | (578) all_0_19_19 = e2 | all_0_20_20 = e2
% 8.26/2.49 |
% 8.26/2.49 | Equations (314) can reduce 577 to:
% 8.26/2.49 | (216) ~ (e2 = e1)
% 8.26/2.49 |
% 8.26/2.49 | Simplifying 216 yields:
% 8.26/2.49 | (125) ~ (e2 = e1)
% 8.26/2.49 |
% 8.26/2.49 +-Applying beta-rule and splitting (568), into two cases.
% 8.26/2.49 |-Branch one:
% 8.26/2.49 | (581) all_0_12_12 = e2
% 8.26/2.49 |
% 8.26/2.49 | Equations (581) can reduce 159 to:
% 8.26/2.49 | (582) ~ (all_0_11_11 = e2)
% 8.26/2.49 |
% 8.26/2.49 | Equations (581) can reduce 90 to:
% 8.26/2.49 | (583) ~ (e3 = e2)
% 8.26/2.49 |
% 8.26/2.49 | Simplifying 583 yields:
% 8.26/2.49 | (188) ~ (e3 = e2)
% 8.26/2.49 |
% 8.26/2.49 +-Applying beta-rule and splitting (86), into two cases.
% 8.26/2.49 |-Branch one:
% 8.26/2.49 | (585) all_0_3_3 = e4
% 8.26/2.49 |
% 8.26/2.49 | Combining equations (585,450) yields a new equation:
% 8.26/2.49 | (586) e4 = e3
% 8.26/2.49 |
% 8.26/2.49 | Simplifying 586 yields:
% 8.26/2.49 | (587) e4 = e3
% 8.26/2.49 |
% 8.27/2.49 | Equations (587) can reduce 24 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (275) ~ (all_0_3_3 = e4)
% 8.27/2.49 | (590) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (590), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (591) all_0_8_8 = e4
% 8.27/2.49 |
% 8.27/2.49 | Equations (591) can reduce 235 to:
% 8.27/2.49 | (24) ~ (e4 = e3)
% 8.27/2.49 |
% 8.27/2.49 | Equations (591) can reduce 419 to:
% 8.27/2.49 | (209) ~ (e4 = e1)
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (74), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (594) all_0_11_11 = e1
% 8.27/2.49 |
% 8.27/2.49 | Equations (594) can reduce 479 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (479) ~ (all_0_11_11 = e1)
% 8.27/2.49 | (597) all_0_11_11 = e2 | all_0_11_11 = e0
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (597), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (516) all_0_11_11 = e0
% 8.27/2.49 |
% 8.27/2.49 | Equations (516) can reduce 55 to:
% 8.27/2.49 | (492) ~ (all_0_7_7 = e0)
% 8.27/2.49 |
% 8.27/2.49 | Equations (516) can reduce 82 to:
% 8.27/2.49 | (494) ~ (all_0_9_9 = e0)
% 8.27/2.49 |
% 8.27/2.49 | Equations (516) can reduce 84 to:
% 8.27/2.49 | (601) ~ (all_0_10_10 = e0)
% 8.27/2.49 |
% 8.27/2.49 | Equations (516) can reduce 187 to:
% 8.27/2.49 | (602) ~ (e3 = e0)
% 8.27/2.49 |
% 8.27/2.49 | Simplifying 602 yields:
% 8.27/2.49 | (57) ~ (e3 = e0)
% 8.27/2.49 |
% 8.27/2.49 | Equations (516) can reduce 582 to:
% 8.27/2.49 | (473) ~ (e2 = e0)
% 8.27/2.49 |
% 8.27/2.49 | Simplifying 473 yields:
% 8.27/2.49 | (45) ~ (e2 = e0)
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (562), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (606) all_0_5_5 = e4
% 8.27/2.49 |
% 8.27/2.49 | Combining equations (219,606) yields a new equation:
% 8.27/2.49 | (392) e4 = e1
% 8.27/2.49 |
% 8.27/2.49 | Equations (392) can reduce 209 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (609) ~ (all_0_5_5 = e4)
% 8.27/2.49 | (610) all_0_10_10 = e4 | all_0_17_17 = e4
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (578), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (611) all_0_19_19 = e2
% 8.27/2.49 |
% 8.27/2.49 | Equations (611) can reduce 48 to:
% 8.27/2.49 | (612) ~ (all_0_7_7 = e2)
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (164), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (433) all_0_16_16 = e3
% 8.27/2.49 |
% 8.27/2.49 | Combining equations (436,433) yields a new equation:
% 8.27/2.49 | (586) e4 = e3
% 8.27/2.49 |
% 8.27/2.49 | Simplifying 586 yields:
% 8.27/2.49 | (587) e4 = e3
% 8.27/2.49 |
% 8.27/2.49 | Equations (587) can reduce 24 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (354) ~ (all_0_16_16 = e3)
% 8.27/2.49 | (618) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (610), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (619) all_0_10_10 = e4
% 8.27/2.49 |
% 8.27/2.49 | Equations (619) can reduce 362 to:
% 8.27/2.49 | (209) ~ (e4 = e1)
% 8.27/2.49 |
% 8.27/2.49 | Equations (619) can reduce 601 to:
% 8.27/2.49 | (3) ~ (e4 = e0)
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (618), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (622) all_0_17_17 = e3
% 8.27/2.49 |
% 8.27/2.49 | Equations (622) can reduce 408 to:
% 8.27/2.49 | (124) ~ (e3 = e1)
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (123), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (495) all_0_9_9 = e1
% 8.27/2.49 |
% 8.27/2.49 | Equations (495) can reduce 494 to:
% 8.27/2.49 | (122) ~ (e1 = e0)
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (62), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (490) all_0_4_4 = e0
% 8.27/2.49 |
% 8.27/2.49 | Equations (490) can reduce 543 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (543) ~ (all_0_4_4 = e0)
% 8.27/2.49 | (629) all_0_5_5 = e0 | all_0_7_7 = e0 | all_0_8_8 = e0
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (203), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (630) all_0_7_7 = e1
% 8.27/2.49 |
% 8.27/2.49 | Equations (630) can reduce 477 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (477) ~ (all_0_7_7 = e1)
% 8.27/2.49 | (633) all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e0
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (633), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (512) all_0_7_7 = e0
% 8.27/2.49 |
% 8.27/2.49 | Equations (512) can reduce 492 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (492) ~ (all_0_7_7 = e0)
% 8.27/2.49 | (637) all_0_7_7 = e3 | all_0_7_7 = e2
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (637), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (638) all_0_7_7 = e3
% 8.27/2.49 |
% 8.27/2.49 | Equations (638) can reduce 492 to:
% 8.27/2.49 | (57) ~ (e3 = e0)
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (629), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (220) all_0_5_5 = e0
% 8.27/2.49 |
% 8.27/2.49 | Combining equations (220,219) yields a new equation:
% 8.27/2.49 | (222) e1 = e0
% 8.27/2.49 |
% 8.27/2.49 | Equations (222) can reduce 122 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (224) ~ (all_0_5_5 = e0)
% 8.27/2.49 | (644) all_0_7_7 = e0 | all_0_8_8 = e0
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (644), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (512) all_0_7_7 = e0
% 8.27/2.49 |
% 8.27/2.49 | Combining equations (638,512) yields a new equation:
% 8.27/2.49 | (646) e3 = e0
% 8.27/2.49 |
% 8.27/2.49 | Simplifying 646 yields:
% 8.27/2.49 | (647) e3 = e0
% 8.27/2.49 |
% 8.27/2.49 | Equations (647) can reduce 57 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (492) ~ (all_0_7_7 = e0)
% 8.27/2.49 | (650) all_0_8_8 = e0
% 8.27/2.49 |
% 8.27/2.49 | Combining equations (650,591) yields a new equation:
% 8.27/2.49 | (559) e4 = e0
% 8.27/2.49 |
% 8.27/2.49 | Equations (559) can reduce 3 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (653) ~ (all_0_7_7 = e3)
% 8.27/2.49 | (654) all_0_7_7 = e2
% 8.27/2.49 |
% 8.27/2.49 | Equations (654) can reduce 612 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (536) ~ (all_0_9_9 = e1)
% 8.27/2.49 | (537) all_0_9_9 = e4 | all_0_9_9 = e0
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (424), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (495) all_0_9_9 = e1
% 8.27/2.49 |
% 8.27/2.49 | Equations (495) can reduce 536 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (536) ~ (all_0_9_9 = e1)
% 8.27/2.49 | (661) all_0_13_13 = e1 | all_0_16_16 = e1
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (9), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (662) all_0_2_2 = e3
% 8.27/2.49 |
% 8.27/2.49 | Combining equations (475,662) yields a new equation:
% 8.27/2.49 | (257) e3 = e1
% 8.27/2.49 |
% 8.27/2.49 | Equations (257) can reduce 124 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (451) ~ (all_0_2_2 = e3)
% 8.27/2.49 | (666) all_0_7_7 = e3 | all_0_19_19 = e3
% 8.27/2.49 |
% 8.27/2.49 | Equations (475) can reduce 451 to:
% 8.27/2.49 | (214) ~ (e3 = e1)
% 8.27/2.49 |
% 8.27/2.49 | Simplifying 214 yields:
% 8.27/2.49 | (124) ~ (e3 = e1)
% 8.27/2.49 |
% 8.27/2.49 +-Applying beta-rule and splitting (661), into two cases.
% 8.27/2.49 |-Branch one:
% 8.27/2.49 | (281) all_0_13_13 = e1
% 8.27/2.49 |
% 8.27/2.49 | Combining equations (348,281) yields a new equation:
% 8.27/2.49 | (256) e3 = e1
% 8.27/2.49 |
% 8.27/2.49 | Simplifying 256 yields:
% 8.27/2.49 | (257) e3 = e1
% 8.27/2.49 |
% 8.27/2.49 | Equations (257) can reduce 124 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.49 |-Branch two:
% 8.27/2.49 | (347) ~ (all_0_13_13 = e1)
% 8.27/2.49 | (425) all_0_16_16 = e1
% 8.27/2.49 |
% 8.27/2.49 | Combining equations (436,425) yields a new equation:
% 8.27/2.49 | (675) e4 = e1
% 8.27/2.49 |
% 8.27/2.49 | Simplifying 675 yields:
% 8.27/2.49 | (392) e4 = e1
% 8.27/2.49 |
% 8.27/2.49 | Equations (392) can reduce 209 to:
% 8.27/2.49 | (223) $false
% 8.27/2.49 |
% 8.27/2.49 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (678) ~ (all_0_17_17 = e3)
% 8.27/2.50 | (679) all_0_19_19 = e3 | all_0_20_20 = e3
% 8.27/2.50 |
% 8.27/2.50 +-Applying beta-rule and splitting (679), into two cases.
% 8.27/2.50 |-Branch one:
% 8.27/2.50 | (680) all_0_19_19 = e3
% 8.27/2.50 |
% 8.27/2.50 | Combining equations (611,680) yields a new equation:
% 8.27/2.50 | (681) e3 = e2
% 8.27/2.50 |
% 8.27/2.50 | Equations (681) can reduce 188 to:
% 8.27/2.50 | (223) $false
% 8.27/2.50 |
% 8.27/2.50 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (683) ~ (all_0_19_19 = e3)
% 8.27/2.50 | (234) all_0_20_20 = e3
% 8.27/2.50 |
% 8.27/2.50 | Combining equations (234,225) yields a new equation:
% 8.27/2.50 | (646) e3 = e0
% 8.27/2.50 |
% 8.27/2.50 | Simplifying 646 yields:
% 8.27/2.50 | (647) e3 = e0
% 8.27/2.50 |
% 8.27/2.50 | Equations (647) can reduce 57 to:
% 8.27/2.50 | (223) $false
% 8.27/2.50 |
% 8.27/2.50 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (688) ~ (all_0_10_10 = e4)
% 8.27/2.50 | (689) all_0_17_17 = e4
% 8.27/2.50 |
% 8.27/2.50 | Equations (689) can reduce 439 to:
% 8.27/2.50 | (223) $false
% 8.27/2.50 |
% 8.27/2.50 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (691) ~ (all_0_19_19 = e2)
% 8.27/2.50 | (692) all_0_20_20 = e2
% 8.27/2.50 |
% 8.27/2.50 | Combining equations (692,225) yields a new equation:
% 8.27/2.50 | (324) e2 = e0
% 8.27/2.50 |
% 8.27/2.50 | Simplifying 324 yields:
% 8.27/2.50 | (248) e2 = e0
% 8.27/2.50 |
% 8.27/2.50 | Equations (248) can reduce 45 to:
% 8.27/2.50 | (223) $false
% 8.27/2.50 |
% 8.27/2.50 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (533) ~ (all_0_11_11 = e0)
% 8.27/2.50 | (697) all_0_11_11 = e2
% 8.27/2.50 |
% 8.27/2.50 | Equations (697) can reduce 582 to:
% 8.27/2.50 | (223) $false
% 8.27/2.50 |
% 8.27/2.50 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (699) ~ (all_0_8_8 = e4)
% 8.27/2.50 | (700) all_0_12_12 = e4 | all_0_20_20 = e4
% 8.27/2.50 |
% 8.27/2.50 +-Applying beta-rule and splitting (700), into two cases.
% 8.27/2.50 |-Branch one:
% 8.27/2.50 | (701) all_0_12_12 = e4
% 8.27/2.50 |
% 8.27/2.50 | Combining equations (581,701) yields a new equation:
% 8.27/2.50 | (702) e4 = e2
% 8.27/2.50 |
% 8.27/2.50 | Equations (702) can reduce 195 to:
% 8.27/2.50 | (223) $false
% 8.27/2.50 |
% 8.27/2.50 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (704) ~ (all_0_12_12 = e4)
% 8.27/2.50 | (705) all_0_20_20 = e4
% 8.27/2.50 |
% 8.27/2.50 | Combining equations (705,225) yields a new equation:
% 8.27/2.50 | (558) e4 = e0
% 8.27/2.50 |
% 8.27/2.50 | Simplifying 558 yields:
% 8.27/2.50 | (559) e4 = e0
% 8.27/2.50 |
% 8.27/2.50 | Equations (559) can reduce 3 to:
% 8.27/2.50 | (223) $false
% 8.27/2.50 |
% 8.27/2.50 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (709) ~ (all_0_12_12 = e2)
% 8.27/2.50 | (710) all_0_15_15 = e2 | all_0_20_20 = e2
% 8.27/2.50 |
% 8.27/2.50 +-Applying beta-rule and splitting (710), into two cases.
% 8.27/2.50 |-Branch one:
% 8.27/2.50 | (711) all_0_15_15 = e2
% 8.27/2.50 |
% 8.27/2.50 | Combining equations (417,711) yields a new equation:
% 8.27/2.50 | (228) e2 = e1
% 8.27/2.50 |
% 8.27/2.50 | Equations (228) can reduce 125 to:
% 8.27/2.50 | (223) $false
% 8.27/2.50 |
% 8.27/2.50 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (714) ~ (all_0_15_15 = e2)
% 8.27/2.50 | (692) all_0_20_20 = e2
% 8.27/2.50 |
% 8.27/2.50 | Combining equations (225,692) yields a new equation:
% 8.27/2.50 | (248) e2 = e0
% 8.27/2.50 |
% 8.27/2.50 | Equations (248) can reduce 45 to:
% 8.27/2.50 | (223) $false
% 8.27/2.50 |
% 8.27/2.50 |-The branch is then unsatisfiable
% 8.27/2.50 |-Branch two:
% 8.27/2.50 | (718) ~ (all_0_2_2 = e1)
% 8.27/2.50 | (719) all_0_2_2 = e3 | all_0_2_2 = e0
% 8.27/2.50 |
% 8.27/2.50 +-Applying beta-rule and splitting (719), into two cases.
% 8.27/2.50 |-Branch one:
% 8.27/2.50 | (501) all_0_2_2 = e0
% 8.32/2.50 |
% 8.32/2.50 | Equations (501) can reduce 470 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (470) ~ (all_0_2_2 = e0)
% 8.32/2.50 | (662) all_0_2_2 = e3
% 8.32/2.50 |
% 8.32/2.50 | Equations (662) can reduce 451 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (725) ~ (all_0_0_0 = e0)
% 8.32/2.50 | (726) all_0_0_0 = e4 | all_0_0_0 = e3
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (467), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (213) all_0_1_1 = e1
% 8.32/2.50 |
% 8.32/2.50 | Combining equations (213,272) yields a new equation:
% 8.32/2.50 | (392) e4 = e1
% 8.32/2.50 |
% 8.32/2.50 | Equations (392) can reduce 209 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (271) ~ (all_0_1_1 = e1)
% 8.32/2.50 | (731) all_0_2_2 = e1 | all_0_3_3 = e1
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (731), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (475) all_0_2_2 = e1
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (201), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (468) all_0_0_0 = e0
% 8.32/2.50 |
% 8.32/2.50 | Equations (468) can reduce 725 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (725) ~ (all_0_0_0 = e0)
% 8.32/2.50 | (736) all_0_2_2 = e0 | all_0_3_3 = e0
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (736), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (501) all_0_2_2 = e0
% 8.32/2.50 |
% 8.32/2.50 | Combining equations (501,475) yields a new equation:
% 8.32/2.50 | (222) e1 = e0
% 8.32/2.50 |
% 8.32/2.50 | Equations (222) can reduce 122 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (470) ~ (all_0_2_2 = e0)
% 8.32/2.50 | (446) all_0_3_3 = e0
% 8.32/2.50 |
% 8.32/2.50 | Combining equations (446,450) yields a new equation:
% 8.32/2.50 | (647) e3 = e0
% 8.32/2.50 |
% 8.32/2.50 | Equations (647) can reduce 57 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (718) ~ (all_0_2_2 = e1)
% 8.32/2.50 | (442) all_0_3_3 = e1
% 8.32/2.50 |
% 8.32/2.50 | Combining equations (442,450) yields a new equation:
% 8.32/2.50 | (257) e3 = e1
% 8.32/2.50 |
% 8.32/2.50 | Equations (257) can reduce 124 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (748) ~ (all_0_3_3 = e3)
% 8.32/2.50 | (585) all_0_3_3 = e4
% 8.32/2.50 |
% 8.32/2.50 | Equations (585) can reduce 275 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (751) ~ (all_0_6_6 = e2)
% 8.32/2.50 | (321) all_0_18_18 = e2
% 8.32/2.50 |
% 8.32/2.50 | Combining equations (314,321) yields a new equation:
% 8.32/2.50 | (228) e2 = e1
% 8.32/2.50 |
% 8.32/2.50 | Equations (228) can reduce 125 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (244) ~ (all_0_5_5 = e1)
% 8.32/2.50 | (245) all_0_20_20 = e1
% 8.32/2.50 |
% 8.32/2.50 | Equations (245) can reduce 27 to:
% 8.32/2.50 | (757) ~ (all_0_15_15 = e1)
% 8.32/2.50 |
% 8.32/2.50 | Equations (245) can reduce 142 to:
% 8.32/2.50 | (312) ~ (all_0_18_18 = e1)
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (141), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (220) all_0_5_5 = e0
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (53), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (314) all_0_18_18 = e1
% 8.32/2.50 |
% 8.32/2.50 | Equations (314) can reduce 312 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (312) ~ (all_0_18_18 = e1)
% 8.32/2.50 | (317) all_0_18_18 = e4 | all_0_18_18 = e2
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (192), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (417) all_0_15_15 = e1
% 8.32/2.50 |
% 8.32/2.50 | Equations (417) can reduce 757 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (757) ~ (all_0_15_15 = e1)
% 8.32/2.50 | (767) all_0_15_15 = e3 | all_0_15_15 = e2
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (317), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (318) all_0_18_18 = e4
% 8.32/2.50 |
% 8.32/2.50 | Equations (318) can reduce 279 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (279) ~ (all_0_18_18 = e4)
% 8.32/2.50 | (321) all_0_18_18 = e2
% 8.32/2.50 |
% 8.32/2.50 | Equations (321) can reduce 210 to:
% 8.32/2.50 | (751) ~ (all_0_6_6 = e2)
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (767), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (773) all_0_15_15 = e3
% 8.32/2.50 |
% 8.32/2.50 | Equations (773) can reduce 352 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (352) ~ (all_0_15_15 = e3)
% 8.32/2.50 | (711) all_0_15_15 = e2
% 8.32/2.50 |
% 8.32/2.50 | Equations (711) can reduce 120 to:
% 8.32/2.50 | (45) ~ (e2 = e0)
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (186), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (379) all_0_6_6 = e1
% 8.32/2.50 |
% 8.32/2.50 | Equations (379) can reduce 34 to:
% 8.32/2.50 | (214) ~ (e3 = e1)
% 8.32/2.50 |
% 8.32/2.50 | Simplifying 214 yields:
% 8.32/2.50 | (124) ~ (e3 = e1)
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (25), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (227) all_0_5_5 = e2
% 8.32/2.50 |
% 8.32/2.50 | Combining equations (227,220) yields a new equation:
% 8.32/2.50 | (324) e2 = e0
% 8.32/2.50 |
% 8.32/2.50 | Simplifying 324 yields:
% 8.32/2.50 | (248) e2 = e0
% 8.32/2.50 |
% 8.32/2.50 | Equations (248) can reduce 45 to:
% 8.32/2.50 | (223) $false
% 8.32/2.50 |
% 8.32/2.50 |-The branch is then unsatisfiable
% 8.32/2.50 |-Branch two:
% 8.32/2.50 | (230) ~ (all_0_5_5 = e2)
% 8.32/2.50 | (231) (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))
% 8.32/2.50 |
% 8.32/2.50 +-Applying beta-rule and splitting (231), into two cases.
% 8.32/2.50 |-Branch one:
% 8.32/2.50 | (232) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_8_8 = e3)
% 8.32/2.51 |
% 8.32/2.51 | Applying alpha-rule on (232) yields:
% 8.32/2.51 | (220) all_0_5_5 = e0
% 8.32/2.51 | (234) all_0_20_20 = e3
% 8.32/2.51 | (235) ~ (all_0_8_8 = e3)
% 8.32/2.51 |
% 8.32/2.51 | Combining equations (234,245) yields a new equation:
% 8.32/2.51 | (256) e3 = e1
% 8.32/2.51 |
% 8.32/2.51 | Simplifying 256 yields:
% 8.32/2.51 | (257) e3 = e1
% 8.32/2.51 |
% 8.32/2.51 | Equations (257) can reduce 124 to:
% 8.32/2.51 | (223) $false
% 8.32/2.51 |
% 8.32/2.51 |-The branch is then unsatisfiable
% 8.32/2.51 |-Branch two:
% 8.32/2.51 | (238) all_0_5_5 = e0 & all_0_20_20 = e3 & ~ (all_0_17_17 = e0)
% 8.32/2.51 |
% 8.32/2.51 | Applying alpha-rule on (238) yields:
% 8.32/2.51 | (220) all_0_5_5 = e0
% 8.32/2.51 | (234) all_0_20_20 = e3
% 8.32/2.51 | (241) ~ (all_0_17_17 = e0)
% 8.32/2.51 |
% 8.32/2.51 | Combining equations (234,245) yields a new equation:
% 8.32/2.51 | (256) e3 = e1
% 8.32/2.51 |
% 8.32/2.51 | Simplifying 256 yields:
% 8.32/2.51 | (257) e3 = e1
% 8.32/2.51 |
% 8.32/2.51 | Equations (257) can reduce 124 to:
% 8.32/2.51 | (223) $false
% 8.32/2.51 |
% 8.32/2.51 |-The branch is then unsatisfiable
% 8.32/2.51 |-Branch two:
% 8.32/2.51 | (360) ~ (all_0_6_6 = e1)
% 8.32/2.51 | (382) all_0_6_6 = e4 | all_0_6_6 = e2
% 8.32/2.51 |
% 8.32/2.51 +-Applying beta-rule and splitting (382), into two cases.
% 8.32/2.51 |-Branch one:
% 8.32/2.51 | (803) all_0_6_6 = e4
% 8.32/2.51 |
% 8.32/2.51 | Equations (803) can reduce 277 to:
% 8.32/2.51 | (223) $false
% 8.32/2.51 |
% 8.32/2.51 |-The branch is then unsatisfiable
% 8.32/2.51 |-Branch two:
% 8.32/2.51 | (277) ~ (all_0_6_6 = e4)
% 8.32/2.51 | (409) all_0_6_6 = e2
% 8.32/2.51 |
% 8.32/2.51 | Equations (409) can reduce 751 to:
% 8.32/2.51 | (223) $false
% 8.32/2.51 |
% 8.32/2.51 |-The branch is then unsatisfiable
% 8.32/2.51 |-Branch two:
% 8.32/2.51 | (224) ~ (all_0_5_5 = e0)
% 8.32/2.51 | (225) all_0_20_20 = e0
% 8.32/2.51 |
% 8.32/2.51 | Combining equations (225,245) yields a new equation:
% 8.32/2.51 | (222) e1 = e0
% 8.32/2.51 |
% 8.32/2.51 | Equations (222) can reduce 122 to:
% 8.32/2.51 | (223) $false
% 8.32/2.51 |
% 8.32/2.51 |-The branch is then unsatisfiable
% 8.32/2.51 % SZS output end Proof for theBenchmark
% 8.32/2.51
% 8.32/2.51 1914ms
%------------------------------------------------------------------------------