TSTP Solution File: ALG148+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG148+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 15:36:42 EDT 2022
% Result : Unsatisfiable 5.75s 1.99s
% Output : Proof 23.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG148+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n018.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 : Tue Jun 7 23:36:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.54/0.60 ____ _
% 0.54/0.60 ___ / __ \_____(_)___ ________ __________
% 0.54/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.60
% 0.54/0.60 A Theorem Prover for First-Order Logic
% 0.54/0.60 (ePrincess v.1.0)
% 0.54/0.60
% 0.54/0.60 (c) Philipp Rümmer, 2009-2015
% 0.54/0.60 (c) Peter Backeman, 2014-2015
% 0.54/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.60 Bug reports to peter@backeman.se
% 0.54/0.60
% 0.54/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.60
% 0.54/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.26/1.15 Prover 0: Preprocessing ...
% 3.62/1.42 Prover 0: Constructing countermodel ...
% 5.75/1.99 Prover 0: proved (1340ms)
% 5.75/1.99
% 5.75/1.99 No countermodel exists, formula is valid
% 5.75/1.99 % SZS status Unsatisfiable for theBenchmark
% 5.75/1.99
% 5.75/1.99 Generating proof ... found it (size 12411)
% 18.26/4.94
% 18.26/4.94 % SZS output start Proof for theBenchmark
% 18.26/4.94 Assumed formulas after preprocessing and simplification:
% 18.26/4.94 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v22, e0) = v23 & op(v20, e1) = v21 & op(v18, e2) = v19 & op(v16, e3) = v17 & op(v15, e3) = v16 & op(v10, e2) = v18 & op(v5, e1) = v20 & op(v0, e0) = v22 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (op(v27, v26) = v25) | ~ (op(v27, v26) = v24)) & ( ~ (v23 = e3) | ~ (v22 = e2) | ~ (v0 = e1)) & ( ~ (v23 = e3) | ~ (v22 = e1) | ~ (v0 = e2)) & ( ~ (v23 = e2) | ~ (v22 = e3) | ~ (v0 = e1)) & ( ~ (v23 = e2) | ~ (v22 = e1) | ~ (v0 = e3)) & ( ~ (v23 = e1) | ~ (v22 = e3) | ~ (v0 = e2)) & ( ~ (v23 = e1) | ~ (v22 = e2) | ~ (v0 = e3)) & ( ~ (v21 = e3) | ~ (v20 = e2) | ~ (v5 = e0)) & ( ~ (v21 = e3) | ~ (v20 = e0) | ~ (v5 = e2)) & ( ~ (v21 = e2) | ~ (v20 = e3) | ~ (v5 = e0)) & ( ~ (v21 = e2) | ~ (v20 = e0) | ~ (v5 = e3)) & ( ~ (v21 = e0) | ~ (v20 = e3) | ~ (v5 = e2)) & ( ~ (v21 = e0) | ~ (v20 = e2) | ~ (v5 = e3)) & ( ~ (v19 = e3) | ~ (v18 = e1) | ~ (v10 = e0)) & ( ~ (v19 = e3) | ~ (v18 = e0) | ~ (v10 = e1)) & ( ~ (v19 = e1) | ~ (v18 = e3) | ~ (v10 = e0)) & ( ~ (v19 = e1) | ~ (v18 = e0) | ~ (v10 = e3)) & ( ~ (v19 = e0) | ~ (v18 = e3) | ~ (v10 = e1)) & ( ~ (v19 = e0) | ~ (v18 = e1) | ~ (v10 = e3)) & ( ~ (v17 = e2) | ~ (v16 = e1) | ~ (v15 = e0)) & ( ~ (v17 = e2) | ~ (v16 = e0) | ~ (v15 = e1)) & ( ~ (v17 = e1) | ~ (v16 = e2) | ~ (v15 = e0)) & ( ~ (v17 = e1) | ~ (v16 = e0) | ~ (v15 = e2)) & ( ~ (v17 = e0) | ~ (v16 = e2) | ~ (v15 = e1)) & ( ~ (v17 = e0) | ~ (v16 = e1) | ~ (v15 = e2)) & ( ~ (v15 = e2) | v14 = e3) & ( ~ (v15 = e1) | v13 = e3) & ( ~ (v15 = e0) | v12 = e3) & ( ~ (v10 = e3) | v11 = e2) & ( ~ (v10 = e1) | v9 = e2) & ( ~ (v10 = e0) | v8 = e2) & ( ~ (v5 = e3) | v7 = e1) & ( ~ (v5 = e2) | v6 = e1) & ( ~ (v5 = e0) | v4 = e1) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & ( ~ (v0 = e1) | v1 = e0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3 | v12 = e3) & (v15 = e3 | v11 = e3 | v7 = e3 | v3 = e3) & (v15 = e3 | v10 = e2 | v5 = e1 | v0 = e0) & (v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v15 = e2 | v11 = e2 | v7 = e2 | v3 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v12 = e1) & (v15 = e1 | v11 = e1 | v7 = e1 | v3 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v12 = e0) & (v15 = e0 | v11 = e0 | v7 = e0 | v3 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v14 = e3 | v10 = e3 | v6 = e3 | v2 = e3) & (v14 = e2 | v10 = e2 | v6 = e2 | v2 = e2) & (v14 = e1 | v10 = e1 | v6 = e1 | v2 = e1) & (v14 = e0 | v10 = e0 | v6 = e0 | v2 = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v13 = e3 | v9 = e3 | v5 = e3 | v1 = e3) & (v13 = e2 | v9 = e2 | v5 = e2 | v1 = e2) & (v13 = e1 | v9 = e1 | v5 = e1 | v1 = e1) & (v13 = e0 | v9 = e0 | v5 = e0 | v1 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e3 | v8 = e3 | v4 = e3 | v0 = e3) & (v12 = e2 | v8 = e2 | v4 = e2 | v0 = e2) & (v12 = e1 | v8 = e1 | v4 = e1 | v0 = e1) & (v12 = e0 | v8 = e0 | v4 = e0 | v0 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v11 = e3 | v10 = e3 | v9 = e3 | v8 = e3) & (v11 = e2 | v10 = e2 | v9 = e2 | v8 = e2) & (v11 = e1 | v10 = e1 | v9 = e1 | v8 = e1) & (v11 = e0 | v10 = e0 | v9 = e0 | v8 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v7 = e3 | v6 = e3 | v5 = e3 | v4 = e3) & (v7 = e2 | v6 = e2 | v5 = e2 | v4 = e2) & (v7 = e1 | v6 = e1 | v5 = e1 | v4 = e1) & (v7 = e0 | v6 = e0 | v5 = e0 | v4 = e0) & (v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & ((v14 = e2 & ~ (v15 = e3) & ( ~ (v11 = e2) | ~ (v10 = e3)) & ( ~ (v7 = e1) | ~ (v5 = e3)) & ( ~ (v3 = e0) | ~ (v0 = e3))) | (v13 = e1 & ~ (v15 = e3) & ( ~ (v11 = e2) | ~ (v10 = e3)) & ( ~ (v7 = e1) | ~ (v5 = e3)) & ( ~ (v3 = e0) | ~ (v0 = e3))) | (v12 = e0 & ~ (v15 = e3) & ( ~ (v11 = e2) | ~ (v10 = e3)) & ( ~ (v7 = e1) | ~ (v5 = e3)) & ( ~ (v3 = e0) | ~ (v0 = e3))) | (v11 = e3 & ~ (v10 = e2) & ( ~ (v15 = e2) | ~ (v14 = e3)) & ( ~ (v6 = e1) | ~ (v5 = e2)) & ( ~ (v2 = e0) | ~ (v0 = e2))) | (v9 = e1 & ~ (v10 = e2) & ( ~ (v15 = e2) | ~ (v14 = e3)) & ( ~ (v6 = e1) | ~ (v5 = e2)) & ( ~ (v2 = e0) | ~ (v0 = e2))) | (v8 = e0 & ~ (v10 = e2) & ( ~ (v15 = e2) | ~ (v14 = e3)) & ( ~ (v6 = e1) | ~ (v5 = e2)) & ( ~ (v2 = e0) | ~ (v0 = e2))) | (v7 = e3 & ~ (v5 = e1) & ( ~ (v15 = e1) | ~ (v13 = e3)) & ( ~ (v10 = e1) | ~ (v9 = e2)) & ( ~ (v1 = e0) | ~ (v0 = e1))) | (v6 = e2 & ~ (v5 = e1) & ( ~ (v15 = e1) | ~ (v13 = e3)) & ( ~ (v10 = e1) | ~ (v9 = e2)) & ( ~ (v1 = e0) | ~ (v0 = e1))) | (v4 = e0 & ~ (v5 = e1) & ( ~ (v15 = e1) | ~ (v13 = e3)) & ( ~ (v10 = e1) | ~ (v9 = e2)) & ( ~ (v1 = e0) | ~ (v0 = e1))) | ( ~ (v0 = e0) & ( ~ (v15 = e0) | ~ (v12 = e3)) & ( ~ (v10 = e0) | ~ (v8 = e2)) & ( ~ (v5 = e0) | ~ (v4 = e1)) & (v3 = e3 | v2 = e2 | v1 = e1))))
% 18.78/5.01 | 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, all_0_21_21, all_0_22_22, all_0_23_23 yields:
% 18.78/5.01 | (1) ~ (all_0_8_8 = all_0_9_9) & ~ (all_0_8_8 = all_0_10_10) & ~ (all_0_8_8 = all_0_11_11) & ~ (all_0_8_8 = all_0_12_12) & ~ (all_0_8_8 = all_0_16_16) & ~ (all_0_8_8 = 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_13_13) & ~ (all_0_9_9 = all_0_17_17) & ~ (all_0_9_9 = all_0_21_21) & ~ (all_0_10_10 = all_0_11_11) & ~ (all_0_10_10 = all_0_14_14) & ~ (all_0_10_10 = all_0_18_18) & ~ (all_0_10_10 = all_0_22_22) & ~ (all_0_11_11 = all_0_15_15) & ~ (all_0_11_11 = all_0_19_19) & ~ (all_0_11_11 = all_0_23_23) & ~ (all_0_12_12 = all_0_13_13) & ~ (all_0_12_12 = all_0_14_14) & ~ (all_0_12_12 = all_0_15_15) & ~ (all_0_12_12 = all_0_16_16) & ~ (all_0_12_12 = all_0_20_20) & ~ (all_0_13_13 = all_0_14_14) & ~ (all_0_13_13 = all_0_15_15) & ~ (all_0_13_13 = all_0_17_17) & ~ (all_0_13_13 = all_0_21_21) & ~ (all_0_14_14 = all_0_15_15) & ~ (all_0_14_14 = all_0_18_18) & ~ (all_0_14_14 = all_0_22_22) & ~ (all_0_15_15 = all_0_19_19) & ~ (all_0_15_15 = all_0_23_23) & ~ (all_0_16_16 = all_0_17_17) & ~ (all_0_16_16 = all_0_18_18) & ~ (all_0_16_16 = all_0_19_19) & ~ (all_0_16_16 = all_0_20_20) & ~ (all_0_17_17 = all_0_18_18) & ~ (all_0_17_17 = all_0_19_19) & ~ (all_0_17_17 = all_0_21_21) & ~ (all_0_18_18 = all_0_19_19) & ~ (all_0_18_18 = all_0_22_22) & ~ (all_0_19_19 = all_0_23_23) & ~ (all_0_20_20 = all_0_21_21) & ~ (all_0_20_20 = all_0_22_22) & ~ (all_0_20_20 = all_0_23_23) & ~ (all_0_21_21 = all_0_22_22) & ~ (all_0_21_21 = all_0_23_23) & ~ (all_0_22_22 = all_0_23_23) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_1_1, e0) = all_0_0_0 & op(all_0_3_3, e1) = all_0_2_2 & op(all_0_5_5, e2) = all_0_4_4 & op(all_0_7_7, e3) = all_0_6_6 & op(all_0_8_8, e3) = all_0_7_7 & op(all_0_13_13, e2) = all_0_5_5 & op(all_0_18_18, e1) = all_0_3_3 & op(all_0_23_23, e0) = all_0_1_1 & op(e3, e3) = all_0_8_8 & op(e3, e2) = all_0_9_9 & op(e3, e1) = all_0_10_10 & op(e3, e0) = all_0_11_11 & op(e2, e3) = all_0_12_12 & op(e2, e2) = all_0_13_13 & op(e2, e1) = all_0_14_14 & op(e2, e0) = all_0_15_15 & op(e1, e3) = all_0_16_16 & op(e1, e2) = all_0_17_17 & op(e1, e1) = all_0_18_18 & op(e1, e0) = all_0_19_19 & op(e0, e3) = all_0_20_20 & op(e0, e2) = all_0_21_21 & op(e0, e1) = all_0_22_22 & op(e0, e0) = all_0_23_23 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e1)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e2)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e1)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e3)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e2)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e3)) & ( ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e0)) & ( ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e0)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e0)) & ( ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e1)) & ( ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e0)) & ( ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e1)) & ( ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e0)) & ( ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e1)) & ( ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e0)) & ( ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e2)) & ( ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e1)) & ( ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e2)) & ( ~ (all_0_8_8 = e2) | all_0_9_9 = e3) & ( ~ (all_0_8_8 = e1) | all_0_10_10 = e3) & ( ~ (all_0_8_8 = e0) | all_0_11_11 = e3) & ( ~ (all_0_13_13 = e3) | all_0_12_12 = e2) & ( ~ (all_0_13_13 = e1) | all_0_14_14 = e2) & ( ~ (all_0_13_13 = e0) | all_0_15_15 = e2) & ( ~ (all_0_18_18 = e3) | all_0_16_16 = e1) & ( ~ (all_0_18_18 = e2) | all_0_17_17 = e1) & ( ~ (all_0_18_18 = e0) | all_0_19_19 = e1) & ( ~ (all_0_23_23 = e3) | all_0_20_20 = e0) & ( ~ (all_0_23_23 = e2) | all_0_21_21 = e0) & ( ~ (all_0_23_23 = e1) | all_0_22_22 = e0) & (all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0) & (all_0_8_8 = e3 | all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3) & (all_0_8_8 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3) & (all_0_8_8 = e3 | all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0) & (all_0_8_8 = e2 | all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2) & (all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2) & (all_0_8_8 = e1 | all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1) & (all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1) & (all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0) & (all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0) & (all_0_9_9 = e3 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0) & (all_0_9_9 = e3 | all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3) & (all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2) & (all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1) & (all_0_9_9 = e0 | all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0) & (all_0_10_10 = e3 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0) & (all_0_10_10 = e3 | all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3) & (all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2) & (all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1) & (all_0_10_10 = e0 | all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0) & (all_0_11_11 = e3 | all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0) & (all_0_11_11 = e3 | all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3) & (all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2) & (all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1) & (all_0_11_11 = e0 | all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0) & (all_0_12_12 = e3 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0) & (all_0_12_12 = e3 | all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3) & (all_0_12_12 = e2 | all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2) & (all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1) & (all_0_12_12 = e0 | all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0) & (all_0_13_13 = e3 | all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0) & (all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0) & (all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0) & (all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0) & (all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3) & (all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2) & (all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1) & (all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0) & (all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0) & (all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0) & (all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0) & (all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0) & (all_0_20_20 = e3 | all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3) & (all_0_20_20 = e2 | all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2) & (all_0_20_20 = e1 | all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1) & (all_0_20_20 = e0 | all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0) & (all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0) & (all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0) & (all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0) & ((all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | ( ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)))
% 18.91/5.03 |
% 18.91/5.03 | Applying alpha-rule on (1) yields:
% 18.91/5.03 | (2) ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e1)
% 18.91/5.03 | (3) ~ (e3 = e0)
% 18.91/5.03 | (4) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 18.91/5.03 | (5) ~ (all_0_13_13 = all_0_17_17)
% 18.91/5.03 | (6) op(all_0_7_7, e3) = all_0_6_6
% 18.91/5.03 | (7) ~ (all_0_20_20 = all_0_21_21)
% 18.91/5.03 | (8) op(e0, e1) = all_0_22_22
% 18.91/5.03 | (9) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 18.91/5.03 | (10) ~ (all_0_17_17 = all_0_19_19)
% 18.91/5.03 | (11) op(e0, e0) = all_0_23_23
% 18.91/5.03 | (12) ~ (all_0_13_13 = all_0_14_14)
% 18.91/5.03 | (13) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e2)
% 18.91/5.03 | (14) ~ (all_0_20_20 = all_0_22_22)
% 18.91/5.03 | (15) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e2)
% 18.91/5.03 | (16) all_0_8_8 = e2 | all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 18.91/5.03 | (17) all_0_20_20 = e2 | all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 18.91/5.03 | (18) op(all_0_3_3, e1) = all_0_2_2
% 18.91/5.03 | (19) op(e3, e1) = all_0_10_10
% 18.91/5.03 | (20) ~ (all_0_8_8 = e1) | all_0_10_10 = e3
% 18.91/5.03 | (21) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 18.91/5.03 | (22) ~ (all_0_9_9 = all_0_13_13)
% 18.91/5.03 | (23) ~ (all_0_10_10 = all_0_11_11)
% 18.91/5.03 | (24) ~ (all_0_8_8 = all_0_10_10)
% 18.91/5.03 | (25) all_0_12_12 = e2 | all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 18.91/5.03 | (26) all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 18.91/5.03 | (27) all_0_10_10 = e3 | all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 18.91/5.04 | (28) ~ (all_0_16_16 = all_0_18_18)
% 18.91/5.04 | (29) ~ (e2 = e0)
% 18.91/5.04 | (30) ~ (all_0_12_12 = all_0_15_15)
% 18.91/5.04 | (31) ~ (all_0_21_21 = all_0_23_23)
% 18.91/5.04 | (32) ~ (all_0_13_13 = e1) | all_0_14_14 = e2
% 18.91/5.04 | (33) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 18.91/5.04 | (34) all_0_9_9 = e0 | all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 18.91/5.04 | (35) op(e1, e3) = all_0_16_16
% 18.91/5.04 | (36) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e3)
% 18.91/5.04 | (37) all_0_8_8 = e3 | all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 18.91/5.04 | (38) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e3)
% 18.91/5.04 | (39) ~ (all_0_22_22 = all_0_23_23)
% 18.91/5.04 | (40) ~ (all_0_10_10 = all_0_14_14)
% 18.91/5.04 | (41) op(e2, e0) = all_0_15_15
% 18.91/5.04 | (42) ~ (all_0_12_12 = all_0_20_20)
% 18.91/5.04 | (43) ~ (all_0_18_18 = all_0_19_19)
% 18.91/5.04 | (44) op(e3, e3) = all_0_8_8
% 18.91/5.04 | (45) ~ (all_0_12_12 = all_0_16_16)
% 18.91/5.04 | (46) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e2)
% 18.91/5.04 | (47) all_0_8_8 = e1 | all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 18.91/5.04 | (48) ~ (all_0_18_18 = e2) | all_0_17_17 = e1
% 18.91/5.04 | (49) all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 18.91/5.04 | (50) all_0_10_10 = e3 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 18.91/5.04 | (51) ~ (all_0_10_10 = all_0_18_18)
% 18.91/5.04 | (52) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 18.91/5.04 | (53) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e2)
% 18.91/5.04 | (54) ~ (all_0_9_9 = all_0_11_11)
% 18.91/5.04 | (55) ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e0)
% 18.91/5.04 | (56) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e0)
% 18.91/5.04 | (57) op(e2, e1) = all_0_14_14
% 18.91/5.04 | (58) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e3)
% 18.91/5.04 | (59) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e2)
% 18.91/5.04 | (60) ~ (all_0_12_12 = all_0_14_14)
% 18.91/5.04 | (61) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 18.91/5.04 | (62) op(all_0_13_13, e2) = all_0_5_5
% 18.91/5.04 | (63) all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 18.91/5.04 | (64) ~ (all_0_8_8 = e0) | all_0_11_11 = e3
% 18.91/5.04 | (65) all_0_11_11 = e3 | all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 18.91/5.04 | (66) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 18.91/5.04 | (67) op(all_0_5_5, e2) = all_0_4_4
% 18.91/5.04 | (68) all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 18.91/5.04 | (69) all_0_9_9 = e3 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 18.91/5.04 | (70) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 18.91/5.04 | (71) ~ (all_0_14_14 = all_0_15_15)
% 18.91/5.04 | (72) ~ (all_0_10_10 = all_0_22_22)
% 18.91/5.04 | (73) ~ (all_0_8_8 = e2) | all_0_9_9 = e3
% 18.91/5.04 | (74) ~ (all_0_9_9 = all_0_21_21)
% 18.91/5.04 | (75) ~ (e2 = e1)
% 18.91/5.04 | (76) ~ (all_0_17_17 = all_0_21_21)
% 18.91/5.04 | (77) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 18.91/5.04 | (78) all_0_12_12 = e3 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 18.91/5.04 | (79) ~ (all_0_23_23 = e3) | all_0_20_20 = e0
% 18.91/5.04 | (80) ~ (all_0_17_17 = all_0_18_18)
% 18.91/5.04 | (81) ~ (all_0_14_14 = all_0_18_18)
% 18.91/5.04 | (82) ~ (all_0_13_13 = e3) | all_0_12_12 = e2
% 18.91/5.04 | (83) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e1)
% 18.91/5.04 | (84) all_0_20_20 = e0 | all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0
% 18.91/5.04 | (85) ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e1)
% 18.91/5.04 | (86) op(all_0_23_23, e0) = all_0_1_1
% 18.91/5.04 | (87) op(e0, e3) = all_0_20_20
% 18.91/5.04 | (88) ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e0)
% 18.91/5.04 | (89) ~ (all_0_15_15 = all_0_19_19)
% 18.91/5.04 | (90) op(e1, e0) = all_0_19_19
% 18.91/5.04 | (91) all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 18.91/5.04 | (92) all_0_8_8 = e3 | all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3
% 18.91/5.04 | (93) ~ (all_0_12_12 = all_0_13_13)
% 18.91/5.04 | (94) ~ (all_0_18_18 = e0) | all_0_19_19 = e1
% 18.91/5.04 | (95) all_0_11_11 = e3 | all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 18.91/5.04 | (96) op(all_0_1_1, e0) = all_0_0_0
% 18.91/5.04 | (97) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 18.91/5.05 | (98) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e0)
% 18.91/5.05 | (99) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | ( ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1))
% 18.91/5.05 | (100) op(e0, e2) = all_0_21_21
% 18.91/5.05 | (101) ~ (all_0_16_16 = all_0_20_20)
% 18.91/5.05 | (102) all_0_13_13 = e3 | all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 18.91/5.05 | (103) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e1)
% 18.91/5.05 | (104) ~ (all_0_13_13 = all_0_21_21)
% 18.91/5.05 | (105) ~ (all_0_15_15 = all_0_23_23)
% 18.91/5.05 | (106) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e0)
% 18.91/5.05 | (107) all_0_20_20 = e3 | all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 18.91/5.05 | (108) op(all_0_8_8, e3) = all_0_7_7
% 18.91/5.05 | (109) ~ (all_0_23_23 = e2) | all_0_21_21 = e0
% 18.91/5.05 | (110) op(e1, e1) = all_0_18_18
% 18.91/5.05 | (111) ~ (e3 = e2)
% 18.91/5.05 | (112) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e3)
% 18.91/5.05 | (113) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 18.91/5.05 | (114) op(e1, e2) = all_0_17_17
% 18.91/5.05 | (115) op(all_0_18_18, e1) = all_0_3_3
% 18.91/5.05 | (116) ~ (all_0_8_8 = all_0_9_9)
% 18.91/5.05 | (117) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 18.91/5.05 | (118) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e3)
% 18.91/5.05 | (119) ~ (all_0_18_18 = all_0_22_22)
% 18.91/5.05 | (120) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e1)
% 18.91/5.05 | (121) ~ (all_0_8_8 = all_0_16_16)
% 18.91/5.05 | (122) ~ (all_0_19_19 = all_0_23_23)
% 18.91/5.05 | (123) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e1)
% 18.91/5.05 | (124) ~ (all_0_8_8 = all_0_11_11)
% 18.91/5.05 | (125) ~ (all_0_8_8 = all_0_20_20)
% 18.91/5.05 | (126) op(e3, e2) = all_0_9_9
% 18.91/5.05 | (127) ~ (all_0_18_18 = e3) | all_0_16_16 = e1
% 18.91/5.05 | (128) all_0_20_20 = e1 | all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 18.91/5.05 | (129) ~ (all_0_11_11 = all_0_15_15)
% 18.91/5.05 | (130) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e3)
% 18.91/5.05 | (131) ~ (all_0_11_11 = all_0_23_23)
% 18.91/5.05 | (132) ~ (all_0_11_11 = all_0_19_19)
% 18.91/5.05 | (133) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 18.91/5.05 | (134) all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 18.91/5.05 | (135) ~ (all_0_13_13 = all_0_15_15)
% 18.91/5.05 | (136) ~ (all_0_9_9 = all_0_17_17)
% 18.91/5.05 | (137) ~ (all_0_23_23 = e1) | all_0_22_22 = e0
% 18.91/5.05 | (138) ~ (all_0_16_16 = all_0_19_19)
% 18.91/5.05 | (139) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 18.91/5.05 | (140) ~ (all_0_13_13 = e0) | all_0_15_15 = e2
% 18.91/5.05 | (141) op(e3, e0) = all_0_11_11
% 18.91/5.05 | (142) all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 18.91/5.05 | (143) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 18.91/5.05 | (144) ~ (all_0_16_16 = all_0_17_17)
% 18.91/5.05 | (145) all_0_10_10 = e0 | all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 18.91/5.05 | (146) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 18.91/5.05 | (147) op(e2, e2) = all_0_13_13
% 18.91/5.05 | (148) all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 18.91/5.05 | (149) all_0_8_8 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 18.91/5.05 | (150) ~ (all_0_21_21 = all_0_22_22)
% 18.91/5.05 | (151) all_0_9_9 = e3 | all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 18.91/5.06 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 18.91/5.06 | (153) all_0_11_11 = e0 | all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 18.91/5.06 | (154) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 18.91/5.06 | (155) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e0)
% 18.91/5.06 | (156) ~ (all_0_20_20 = all_0_23_23)
% 18.91/5.06 | (157) ~ (e1 = e0)
% 18.91/5.06 | (158) ~ (all_0_8_8 = all_0_12_12)
% 18.91/5.06 | (159) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e2)
% 18.91/5.06 | (160) ~ (all_0_14_14 = all_0_22_22)
% 18.91/5.06 | (161) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 18.91/5.06 | (162) op(e2, e3) = all_0_12_12
% 18.91/5.06 | (163) ~ (e3 = e1)
% 18.91/5.06 | (164) all_0_12_12 = e0 | all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 18.91/5.06 | (165) all_0_12_12 = e3 | all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 18.91/5.06 | (166) ~ (all_0_9_9 = all_0_10_10)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (32), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (167) ~ (all_0_13_13 = e1)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (137), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (168) ~ (all_0_23_23 = e1)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (109), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (169) ~ (all_0_23_23 = e2)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (79), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (170) ~ (all_0_23_23 = e3)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (154), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (171) all_0_23_23 = e3
% 18.91/5.06 |
% 18.91/5.06 | Equations (171) can reduce 170 to:
% 18.91/5.06 | (172) $false
% 18.91/5.06 |
% 18.91/5.06 |-The branch is then unsatisfiable
% 18.91/5.06 |-Branch two:
% 18.91/5.06 | (170) ~ (all_0_23_23 = e3)
% 18.91/5.06 | (174) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (174), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (175) all_0_23_23 = e2
% 18.91/5.06 |
% 18.91/5.06 | Equations (175) can reduce 169 to:
% 18.91/5.06 | (172) $false
% 18.91/5.06 |
% 18.91/5.06 |-The branch is then unsatisfiable
% 18.91/5.06 |-Branch two:
% 18.91/5.06 | (169) ~ (all_0_23_23 = e2)
% 18.91/5.06 | (178) all_0_23_23 = e1 | all_0_23_23 = e0
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (178), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (179) all_0_23_23 = e1
% 18.91/5.06 |
% 18.91/5.06 | Equations (179) can reduce 168 to:
% 18.91/5.06 | (172) $false
% 18.91/5.06 |
% 18.91/5.06 |-The branch is then unsatisfiable
% 18.91/5.06 |-Branch two:
% 18.91/5.06 | (168) ~ (all_0_23_23 = e1)
% 18.91/5.06 | (182) all_0_23_23 = e0
% 18.91/5.06 |
% 18.91/5.06 | Equations (182) can reduce 131 to:
% 18.91/5.06 | (183) ~ (all_0_11_11 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Equations (182) can reduce 105 to:
% 18.91/5.06 | (184) ~ (all_0_15_15 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Equations (182) can reduce 122 to:
% 18.91/5.06 | (185) ~ (all_0_19_19 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Equations (182) can reduce 156 to:
% 18.91/5.06 | (186) ~ (all_0_20_20 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Equations (182) can reduce 31 to:
% 18.91/5.06 | (187) ~ (all_0_21_21 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Equations (182) can reduce 39 to:
% 18.91/5.06 | (188) ~ (all_0_22_22 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Equations (182) can reduce 170 to:
% 18.91/5.06 | (189) ~ (e3 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Simplifying 189 yields:
% 18.91/5.06 | (3) ~ (e3 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Equations (182) can reduce 169 to:
% 18.91/5.06 | (191) ~ (e2 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Simplifying 191 yields:
% 18.91/5.06 | (29) ~ (e2 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Equations (182) can reduce 168 to:
% 18.91/5.06 | (193) ~ (e1 = e0)
% 18.91/5.06 |
% 18.91/5.06 | Simplifying 193 yields:
% 18.91/5.06 | (157) ~ (e1 = e0)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (48), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (195) ~ (all_0_18_18 = e2)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (20), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (196) ~ (all_0_8_8 = e1)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (94), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (197) ~ (all_0_18_18 = e0)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (73), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (198) ~ (all_0_8_8 = e2)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (64), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (199) ~ (all_0_8_8 = e0)
% 18.91/5.06 |
% 18.91/5.06 +-Applying beta-rule and splitting (26), into two cases.
% 18.91/5.06 |-Branch one:
% 18.91/5.06 | (200) all_0_8_8 = e3
% 18.91/5.06 |
% 18.91/5.06 | Equations (200) can reduce 116 to:
% 18.91/5.06 | (201) ~ (all_0_9_9 = e3)
% 18.91/5.06 |
% 18.91/5.06 | Simplifying 201 yields:
% 18.91/5.06 | (202) ~ (all_0_9_9 = e3)
% 18.91/5.06 |
% 18.91/5.06 | Equations (200) can reduce 124 to:
% 18.91/5.06 | (203) ~ (all_0_11_11 = e3)
% 18.91/5.07 |
% 18.91/5.07 | Simplifying 203 yields:
% 18.91/5.07 | (204) ~ (all_0_11_11 = e3)
% 18.91/5.07 |
% 18.91/5.07 | Equations (200) can reduce 158 to:
% 18.91/5.07 | (205) ~ (all_0_12_12 = e3)
% 18.91/5.07 |
% 18.91/5.07 | Simplifying 205 yields:
% 18.91/5.07 | (206) ~ (all_0_12_12 = e3)
% 18.91/5.07 |
% 18.91/5.07 | Equations (200) can reduce 121 to:
% 18.91/5.07 | (207) ~ (all_0_16_16 = e3)
% 18.91/5.07 |
% 18.91/5.07 | Simplifying 207 yields:
% 18.91/5.07 | (208) ~ (all_0_16_16 = e3)
% 18.91/5.07 |
% 18.91/5.07 | Equations (200) can reduce 125 to:
% 18.91/5.07 | (209) ~ (all_0_20_20 = e3)
% 18.91/5.07 |
% 18.91/5.07 | Simplifying 209 yields:
% 18.91/5.07 | (210) ~ (all_0_20_20 = e3)
% 18.91/5.07 |
% 18.91/5.07 +-Applying beta-rule and splitting (127), into two cases.
% 18.91/5.07 |-Branch one:
% 18.91/5.07 | (211) ~ (all_0_18_18 = e3)
% 18.91/5.07 |
% 18.91/5.07 +-Applying beta-rule and splitting (33), into two cases.
% 18.91/5.07 |-Branch one:
% 18.91/5.07 | (212) all_0_18_18 = e3
% 18.91/5.07 |
% 18.91/5.07 | Equations (212) can reduce 211 to:
% 18.91/5.07 | (172) $false
% 18.91/5.07 |
% 18.91/5.07 |-The branch is then unsatisfiable
% 18.91/5.07 |-Branch two:
% 18.91/5.07 | (211) ~ (all_0_18_18 = e3)
% 18.91/5.07 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 18.91/5.07 |
% 18.91/5.07 +-Applying beta-rule and splitting (215), into two cases.
% 18.91/5.07 |-Branch one:
% 18.91/5.07 | (216) all_0_18_18 = e2
% 18.91/5.07 |
% 18.91/5.07 | Equations (216) can reduce 195 to:
% 18.91/5.07 | (172) $false
% 18.91/5.07 |
% 18.91/5.07 |-The branch is then unsatisfiable
% 18.91/5.07 |-Branch two:
% 18.91/5.07 | (195) ~ (all_0_18_18 = e2)
% 18.91/5.07 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 18.91/5.07 |
% 18.91/5.07 +-Applying beta-rule and splitting (219), into two cases.
% 18.91/5.07 |-Branch one:
% 18.91/5.07 | (220) all_0_18_18 = e1
% 18.91/5.07 |
% 18.91/5.07 | Equations (220) can reduce 51 to:
% 18.91/5.07 | (221) ~ (all_0_10_10 = e1)
% 18.91/5.07 |
% 18.91/5.07 | Equations (220) can reduce 81 to:
% 18.91/5.07 | (222) ~ (all_0_14_14 = e1)
% 18.91/5.07 |
% 18.91/5.07 +-Applying beta-rule and splitting (99), into two cases.
% 18.91/5.07 |-Branch one:
% 18.91/5.07 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 18.91/5.07 |
% 18.91/5.07 +-Applying beta-rule and splitting (223), into two cases.
% 18.91/5.07 |-Branch one:
% 18.91/5.07 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 18.91/5.07 |
% 18.91/5.07 +-Applying beta-rule and splitting (224), into two cases.
% 18.91/5.07 |-Branch one:
% 18.91/5.07 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 18.91/5.08 |
% 18.91/5.08 +-Applying beta-rule and splitting (225), into two cases.
% 18.91/5.08 |-Branch one:
% 18.91/5.08 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 18.91/5.08 |
% 18.91/5.08 +-Applying beta-rule and splitting (226), into two cases.
% 18.91/5.08 |-Branch one:
% 18.91/5.08 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 18.91/5.08 |
% 18.91/5.08 +-Applying beta-rule and splitting (227), into two cases.
% 18.91/5.08 |-Branch one:
% 18.91/5.08 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 18.91/5.08 |
% 18.91/5.08 +-Applying beta-rule and splitting (228), into two cases.
% 18.91/5.08 |-Branch one:
% 18.91/5.08 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 18.91/5.08 |
% 18.91/5.08 +-Applying beta-rule and splitting (229), into two cases.
% 18.91/5.08 |-Branch one:
% 18.91/5.08 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 18.91/5.08 |
% 18.91/5.08 +-Applying beta-rule and splitting (230), into two cases.
% 18.91/5.08 |-Branch one:
% 18.91/5.08 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 18.91/5.08 |
% 18.91/5.08 | Applying alpha-rule on (231) yields:
% 18.91/5.08 | (232) ~ (all_0_8_8 = e3)
% 18.91/5.08 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 18.91/5.08 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 18.91/5.08 | (235) all_0_9_9 = e2
% 18.91/5.08 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 18.91/5.08 |
% 18.91/5.08 | Equations (200) can reduce 232 to:
% 18.91/5.08 | (172) $false
% 18.91/5.08 |
% 18.91/5.08 |-The branch is then unsatisfiable
% 18.91/5.08 |-Branch two:
% 18.91/5.08 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 18.91/5.08 |
% 18.91/5.08 | Applying alpha-rule on (238) yields:
% 18.91/5.08 | (232) ~ (all_0_8_8 = e3)
% 18.91/5.08 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 18.91/5.08 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 18.91/5.08 | (242) all_0_10_10 = e1
% 18.91/5.08 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 18.91/5.08 |
% 18.91/5.08 | Equations (242) can reduce 221 to:
% 18.91/5.08 | (172) $false
% 18.91/5.08 |
% 18.91/5.08 |-The branch is then unsatisfiable
% 18.91/5.08 |-Branch two:
% 18.91/5.08 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 18.91/5.08 |
% 18.91/5.08 | Applying alpha-rule on (245) yields:
% 18.91/5.08 | (232) ~ (all_0_8_8 = e3)
% 18.91/5.08 | (247) all_0_11_11 = e0
% 18.91/5.08 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 18.91/5.08 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 18.91/5.08 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 18.91/5.08 |
% 18.91/5.08 | Equations (247) can reduce 183 to:
% 18.91/5.08 | (172) $false
% 18.91/5.08 |
% 18.91/5.08 |-The branch is then unsatisfiable
% 18.91/5.08 |-Branch two:
% 18.91/5.08 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 18.91/5.09 |
% 18.91/5.09 | Applying alpha-rule on (252) yields:
% 18.91/5.09 | (253) ~ (all_0_13_13 = e2)
% 18.91/5.09 | (254) all_0_12_12 = e3
% 18.91/5.09 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 18.91/5.09 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 18.91/5.09 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 18.91/5.09 |
% 18.91/5.09 | Equations (254) can reduce 206 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 18.91/5.09 |
% 18.91/5.09 | Applying alpha-rule on (259) yields:
% 18.91/5.09 | (253) ~ (all_0_13_13 = e2)
% 18.91/5.09 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 18.91/5.09 | (262) all_0_14_14 = e1
% 18.91/5.09 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 18.91/5.09 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 18.91/5.09 |
% 18.91/5.09 | Equations (262) can reduce 222 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 18.91/5.09 |
% 18.91/5.09 | Applying alpha-rule on (266) yields:
% 18.91/5.09 | (253) ~ (all_0_13_13 = e2)
% 18.91/5.09 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 18.91/5.09 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 18.91/5.09 | (270) all_0_15_15 = e0
% 18.91/5.09 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 18.91/5.09 |
% 18.91/5.09 | Equations (270) can reduce 184 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 18.91/5.09 |
% 18.91/5.09 | Applying alpha-rule on (273) yields:
% 18.91/5.09 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 18.91/5.09 | (275) ~ (all_0_18_18 = e1)
% 18.91/5.09 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 18.91/5.09 | (277) all_0_16_16 = e3
% 18.91/5.09 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Equations (220) can reduce 275 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 18.91/5.09 |
% 18.91/5.09 | Applying alpha-rule on (280) yields:
% 18.91/5.09 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 18.91/5.09 | (282) all_0_17_17 = e2
% 18.91/5.09 | (275) ~ (all_0_18_18 = e1)
% 18.91/5.09 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 18.91/5.09 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Equations (220) can reduce 275 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 18.91/5.09 |
% 18.91/5.09 | Applying alpha-rule on (287) yields:
% 18.91/5.09 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 18.91/5.09 | (275) ~ (all_0_18_18 = e1)
% 18.91/5.09 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 18.91/5.09 | (291) all_0_19_19 = e0
% 18.91/5.09 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Equations (291) can reduce 185 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 18.91/5.09 |
% 18.91/5.09 | Applying alpha-rule on (294) yields:
% 18.91/5.09 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 18.91/5.09 | (296) ~ (all_0_23_23 = e0)
% 18.91/5.09 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 18.91/5.09 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 18.91/5.09 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Equations (182) can reduce 296 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (275) ~ (all_0_18_18 = e1)
% 18.91/5.09 | (302) all_0_18_18 = e0
% 18.91/5.09 |
% 18.91/5.09 | Equations (302) can reduce 197 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (212) all_0_18_18 = e3
% 18.91/5.09 | (305) all_0_16_16 = e1
% 18.91/5.09 |
% 18.91/5.09 | Equations (212) can reduce 51 to:
% 18.91/5.09 | (306) ~ (all_0_10_10 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Equations (305) can reduce 45 to:
% 18.91/5.09 | (307) ~ (all_0_12_12 = e1)
% 18.91/5.09 |
% 18.91/5.09 | Equations (212) can reduce 81 to:
% 18.91/5.09 | (308) ~ (all_0_14_14 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Equations (305) can reduce 144 to:
% 18.91/5.09 | (309) ~ (all_0_17_17 = e1)
% 18.91/5.09 |
% 18.91/5.09 | Simplifying 309 yields:
% 18.91/5.09 | (310) ~ (all_0_17_17 = e1)
% 18.91/5.09 |
% 18.91/5.09 | Equations (305) can reduce 138 to:
% 18.91/5.09 | (311) ~ (all_0_19_19 = e1)
% 18.91/5.09 |
% 18.91/5.09 | Simplifying 311 yields:
% 18.91/5.09 | (312) ~ (all_0_19_19 = e1)
% 18.91/5.09 |
% 18.91/5.09 | Equations (305) can reduce 208 to:
% 18.91/5.09 | (313) ~ (e3 = e1)
% 18.91/5.09 |
% 18.91/5.09 | Simplifying 313 yields:
% 18.91/5.09 | (163) ~ (e3 = e1)
% 18.91/5.09 |
% 18.91/5.09 | Equations (212) can reduce 80 to:
% 18.91/5.09 | (315) ~ (all_0_17_17 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Equations (212) can reduce 43 to:
% 18.91/5.09 | (316) ~ (all_0_19_19 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Simplifying 316 yields:
% 18.91/5.09 | (317) ~ (all_0_19_19 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Equations (212) can reduce 119 to:
% 18.91/5.09 | (318) ~ (all_0_22_22 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Simplifying 318 yields:
% 18.91/5.09 | (319) ~ (all_0_22_22 = e3)
% 18.91/5.09 |
% 18.91/5.09 | Equations (212) can reduce 195 to:
% 18.91/5.09 | (111) ~ (e3 = e2)
% 18.91/5.09 |
% 18.91/5.09 | Equations (212) can reduce 197 to:
% 18.91/5.09 | (3) ~ (e3 = e0)
% 18.91/5.09 |
% 18.91/5.09 +-Applying beta-rule and splitting (91), into two cases.
% 18.91/5.09 |-Branch one:
% 18.91/5.09 | (322) all_0_8_8 = e0
% 18.91/5.09 |
% 18.91/5.09 | Combining equations (322,200) yields a new equation:
% 18.91/5.09 | (323) e3 = e0
% 18.91/5.09 |
% 18.91/5.09 | Equations (323) can reduce 3 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (199) ~ (all_0_8_8 = e0)
% 18.91/5.09 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 18.91/5.09 |
% 18.91/5.09 +-Applying beta-rule and splitting (70), into two cases.
% 18.91/5.09 |-Branch one:
% 18.91/5.09 | (327) all_0_20_20 = e3
% 18.91/5.09 |
% 18.91/5.09 | Equations (327) can reduce 210 to:
% 18.91/5.09 | (172) $false
% 18.91/5.09 |
% 18.91/5.09 |-The branch is then unsatisfiable
% 18.91/5.09 |-Branch two:
% 18.91/5.09 | (210) ~ (all_0_20_20 = e3)
% 18.91/5.09 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (52), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (331) all_0_19_19 = e3
% 18.91/5.10 |
% 18.91/5.10 | Equations (331) can reduce 317 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (317) ~ (all_0_19_19 = e3)
% 18.91/5.10 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (330), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (335) all_0_20_20 = e2
% 18.91/5.10 |
% 18.91/5.10 | Equations (335) can reduce 42 to:
% 18.91/5.10 | (336) ~ (all_0_12_12 = e2)
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (82), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (337) ~ (all_0_13_13 = e3)
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (151), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (338) all_0_9_9 = e3
% 18.91/5.10 |
% 18.91/5.10 | Equations (338) can reduce 202 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (202) ~ (all_0_9_9 = e3)
% 18.91/5.10 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (334), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (342) all_0_19_19 = e2
% 18.91/5.10 |
% 18.91/5.10 | Equations (342) can reduce 132 to:
% 18.91/5.10 | (343) ~ (all_0_11_11 = e2)
% 18.91/5.10 |
% 18.91/5.10 | Equations (342) can reduce 10 to:
% 18.91/5.10 | (344) ~ (all_0_17_17 = e2)
% 18.91/5.10 |
% 18.91/5.10 | Equations (342) can reduce 317 to:
% 18.91/5.10 | (345) ~ (e3 = e2)
% 18.91/5.10 |
% 18.91/5.10 | Simplifying 345 yields:
% 18.91/5.10 | (111) ~ (e3 = e2)
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (341), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (347) all_0_13_13 = e3
% 18.91/5.10 |
% 18.91/5.10 | Equations (347) can reduce 337 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (337) ~ (all_0_13_13 = e3)
% 18.91/5.10 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (107), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (327) all_0_20_20 = e3
% 18.91/5.10 |
% 18.91/5.10 | Combining equations (335,327) yields a new equation:
% 18.91/5.10 | (352) e3 = e2
% 18.91/5.10 |
% 18.91/5.10 | Equations (352) can reduce 111 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (210) ~ (all_0_20_20 = e3)
% 18.91/5.10 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (355), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (356) all_0_21_21 = e3
% 18.91/5.10 |
% 18.91/5.10 | Equations (356) can reduce 74 to:
% 18.91/5.10 | (202) ~ (all_0_9_9 = e3)
% 18.91/5.10 |
% 18.91/5.10 | Equations (356) can reduce 104 to:
% 18.91/5.10 | (337) ~ (all_0_13_13 = e3)
% 18.91/5.10 |
% 18.91/5.10 | Equations (356) can reduce 76 to:
% 18.91/5.10 | (315) ~ (all_0_17_17 = e3)
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (133), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (360) all_0_17_17 = e3
% 18.91/5.10 |
% 18.91/5.10 | Equations (360) can reduce 315 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (315) ~ (all_0_17_17 = e3)
% 18.91/5.10 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (363), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (282) all_0_17_17 = e2
% 18.91/5.10 |
% 18.91/5.10 | Equations (282) can reduce 344 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (344) ~ (all_0_17_17 = e2)
% 18.91/5.10 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (367), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (368) all_0_17_17 = e1
% 18.91/5.10 |
% 18.91/5.10 | Equations (368) can reduce 310 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (310) ~ (all_0_17_17 = e1)
% 18.91/5.10 | (371) all_0_17_17 = e0
% 18.91/5.10 |
% 18.91/5.10 | Equations (371) can reduce 136 to:
% 18.91/5.10 | (372) ~ (all_0_9_9 = e0)
% 18.91/5.10 |
% 18.91/5.10 | Equations (371) can reduce 5 to:
% 18.91/5.10 | (373) ~ (all_0_13_13 = e0)
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (102), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (347) all_0_13_13 = e3
% 18.91/5.10 |
% 18.91/5.10 | Equations (347) can reduce 337 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (337) ~ (all_0_13_13 = e3)
% 18.91/5.10 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (78), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (254) all_0_12_12 = e3
% 18.91/5.10 |
% 18.91/5.10 | Equations (254) can reduce 206 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (206) ~ (all_0_12_12 = e3)
% 18.91/5.10 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (377), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (382) all_0_13_13 = e2
% 18.91/5.10 |
% 18.91/5.10 | Equations (382) can reduce 22 to:
% 18.91/5.10 | (383) ~ (all_0_9_9 = e2)
% 18.91/5.10 |
% 18.91/5.10 | Equations (382) can reduce 93 to:
% 18.91/5.10 | (336) ~ (all_0_12_12 = e2)
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (381), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (385) all_0_12_12 = e2
% 18.91/5.10 |
% 18.91/5.10 | Equations (385) can reduce 336 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (336) ~ (all_0_12_12 = e2)
% 18.91/5.10 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (388), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (389) all_0_12_12 = e1
% 18.91/5.10 |
% 18.91/5.10 | Equations (389) can reduce 307 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (307) ~ (all_0_12_12 = e1)
% 18.91/5.10 | (392) all_0_12_12 = e0
% 18.91/5.10 |
% 18.91/5.10 | Equations (392) can reduce 206 to:
% 18.91/5.10 | (189) ~ (e3 = e0)
% 18.91/5.10 |
% 18.91/5.10 | Simplifying 189 yields:
% 18.91/5.10 | (3) ~ (e3 = e0)
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (145), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (395) all_0_10_10 = e0
% 18.91/5.10 |
% 18.91/5.10 | Equations (395) can reduce 166 to:
% 18.91/5.10 | (372) ~ (all_0_9_9 = e0)
% 18.91/5.10 |
% 18.91/5.10 | Equations (395) can reduce 23 to:
% 18.91/5.10 | (397) ~ (all_0_11_11 = e0)
% 18.91/5.10 |
% 18.91/5.10 | Simplifying 397 yields:
% 18.91/5.10 | (183) ~ (all_0_11_11 = e0)
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (95), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (399) all_0_11_11 = e3
% 18.91/5.10 |
% 18.91/5.10 | Equations (399) can reduce 204 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (204) ~ (all_0_11_11 = e3)
% 18.91/5.10 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (69), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (338) all_0_9_9 = e3
% 18.91/5.10 |
% 18.91/5.10 | Equations (338) can reduce 202 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (202) ~ (all_0_9_9 = e3)
% 18.91/5.10 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (406), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (235) all_0_9_9 = e2
% 18.91/5.10 |
% 18.91/5.10 | Equations (235) can reduce 383 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (383) ~ (all_0_9_9 = e2)
% 18.91/5.10 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (410), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (411) all_0_9_9 = e1
% 18.91/5.10 |
% 18.91/5.10 | Equations (411) can reduce 54 to:
% 18.91/5.10 | (412) ~ (all_0_11_11 = e1)
% 18.91/5.10 |
% 18.91/5.10 | Simplifying 412 yields:
% 18.91/5.10 | (413) ~ (all_0_11_11 = e1)
% 18.91/5.10 |
% 18.91/5.10 +-Applying beta-rule and splitting (402), into two cases.
% 18.91/5.10 |-Branch one:
% 18.91/5.10 | (414) all_0_11_11 = e2
% 18.91/5.10 |
% 18.91/5.10 | Equations (414) can reduce 343 to:
% 18.91/5.10 | (172) $false
% 18.91/5.10 |
% 18.91/5.10 |-The branch is then unsatisfiable
% 18.91/5.10 |-Branch two:
% 18.91/5.10 | (343) ~ (all_0_11_11 = e2)
% 18.91/5.10 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (417), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (418) all_0_11_11 = e1
% 18.91/5.11 |
% 18.91/5.11 | Equations (418) can reduce 413 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (413) ~ (all_0_11_11 = e1)
% 18.91/5.11 | (247) all_0_11_11 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (247) can reduce 183 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (423) ~ (all_0_9_9 = e1)
% 18.91/5.11 | (424) all_0_9_9 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (424) can reduce 372 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (426) ~ (all_0_10_10 = e0)
% 18.91/5.11 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (63), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (322) all_0_8_8 = e0
% 18.91/5.11 |
% 18.91/5.11 | Combining equations (322,200) yields a new equation:
% 18.91/5.11 | (323) e3 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (323) can reduce 3 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (199) ~ (all_0_8_8 = e0)
% 18.91/5.11 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (432), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (424) all_0_9_9 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (424) can reduce 372 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (372) ~ (all_0_9_9 = e0)
% 18.91/5.11 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (436), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (395) all_0_10_10 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (395) can reduce 426 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (426) ~ (all_0_10_10 = e0)
% 18.91/5.11 | (247) all_0_11_11 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (247) can reduce 183 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (253) ~ (all_0_13_13 = e2)
% 18.91/5.11 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (443), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (444) all_0_13_13 = e1
% 18.91/5.11 |
% 18.91/5.11 | Equations (444) can reduce 167 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (167) ~ (all_0_13_13 = e1)
% 18.91/5.11 | (447) all_0_13_13 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (447) can reduce 373 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (449) ~ (all_0_21_21 = e3)
% 18.91/5.11 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (350), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (360) all_0_17_17 = e3
% 18.91/5.11 |
% 18.91/5.11 | Equations (360) can reduce 315 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (315) ~ (all_0_17_17 = e3)
% 18.91/5.11 | (356) all_0_21_21 = e3
% 18.91/5.11 |
% 18.91/5.11 | Equations (356) can reduce 449 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (456) ~ (all_0_19_19 = e2)
% 18.91/5.11 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (457), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (458) all_0_19_19 = e1
% 18.91/5.11 |
% 18.91/5.11 | Equations (458) can reduce 312 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (312) ~ (all_0_19_19 = e1)
% 18.91/5.11 | (291) all_0_19_19 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (291) can reduce 185 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (347) all_0_13_13 = e3
% 18.91/5.11 | (385) all_0_12_12 = e2
% 18.91/5.11 |
% 18.91/5.11 | Equations (385) can reduce 336 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (466) ~ (all_0_20_20 = e2)
% 18.91/5.11 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (326), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (392) all_0_12_12 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (392) can reduce 60 to:
% 18.91/5.11 | (469) ~ (all_0_14_14 = e0)
% 18.91/5.11 |
% 18.91/5.11 | Simplifying 469 yields:
% 18.91/5.11 | (470) ~ (all_0_14_14 = e0)
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (145), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (395) all_0_10_10 = e0
% 18.91/5.11 |
% 18.91/5.11 | Equations (395) can reduce 166 to:
% 18.91/5.11 | (372) ~ (all_0_9_9 = e0)
% 18.91/5.11 |
% 18.91/5.11 | Equations (395) can reduce 40 to:
% 18.91/5.11 | (469) ~ (all_0_14_14 = e0)
% 18.91/5.11 |
% 18.91/5.11 | Simplifying 469 yields:
% 18.91/5.11 | (470) ~ (all_0_14_14 = e0)
% 18.91/5.11 |
% 18.91/5.11 | Equations (395) can reduce 306 to:
% 18.91/5.11 | (189) ~ (e3 = e0)
% 18.91/5.11 |
% 18.91/5.11 | Simplifying 189 yields:
% 18.91/5.11 | (3) ~ (e3 = e0)
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (107), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (327) all_0_20_20 = e3
% 18.91/5.11 |
% 18.91/5.11 | Equations (327) can reduce 210 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (210) ~ (all_0_20_20 = e3)
% 18.91/5.11 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (355), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (356) all_0_21_21 = e3
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (21), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (411) all_0_9_9 = e1
% 18.91/5.11 |
% 18.91/5.11 | Equations (411) can reduce 54 to:
% 18.91/5.11 | (412) ~ (all_0_11_11 = e1)
% 18.91/5.11 |
% 18.91/5.11 | Simplifying 412 yields:
% 18.91/5.11 | (413) ~ (all_0_11_11 = e1)
% 18.91/5.11 |
% 18.91/5.11 | Equations (411) can reduce 372 to:
% 18.91/5.11 | (157) ~ (e1 = e0)
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (142), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (418) all_0_11_11 = e1
% 18.91/5.11 |
% 18.91/5.11 | Equations (418) can reduce 413 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (413) ~ (all_0_11_11 = e1)
% 18.91/5.11 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (489), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (490) all_0_15_15 = e1
% 18.91/5.11 |
% 18.91/5.11 | Equations (490) can reduce 71 to:
% 18.91/5.11 | (222) ~ (all_0_14_14 = e1)
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (16), into two cases.
% 18.91/5.11 |-Branch one:
% 18.91/5.11 | (492) all_0_8_8 = e2
% 18.91/5.11 |
% 18.91/5.11 | Combining equations (492,200) yields a new equation:
% 18.91/5.11 | (352) e3 = e2
% 18.91/5.11 |
% 18.91/5.11 | Equations (352) can reduce 111 to:
% 18.91/5.11 | (172) $false
% 18.91/5.11 |
% 18.91/5.11 |-The branch is then unsatisfiable
% 18.91/5.11 |-Branch two:
% 18.91/5.11 | (198) ~ (all_0_8_8 = e2)
% 18.91/5.11 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 18.91/5.11 |
% 18.91/5.11 | Equations (200) can reduce 198 to:
% 18.91/5.11 | (111) ~ (e3 = e2)
% 18.91/5.11 |
% 18.91/5.11 +-Applying beta-rule and splitting (25), into two cases.
% 18.91/5.12 |-Branch one:
% 18.91/5.12 | (385) all_0_12_12 = e2
% 18.91/5.12 |
% 18.91/5.12 | Combining equations (385,392) yields a new equation:
% 18.91/5.12 | (499) e2 = e0
% 18.91/5.12 |
% 18.91/5.12 | Simplifying 499 yields:
% 18.91/5.12 | (500) e2 = e0
% 18.91/5.12 |
% 18.91/5.12 | Equations (500) can reduce 29 to:
% 18.91/5.12 | (172) $false
% 18.91/5.12 |
% 18.91/5.12 |-The branch is then unsatisfiable
% 18.91/5.12 |-Branch two:
% 18.91/5.12 | (336) ~ (all_0_12_12 = e2)
% 18.91/5.12 | (503) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 18.91/5.12 |
% 18.91/5.12 | Equations (392) can reduce 336 to:
% 18.91/5.12 | (191) ~ (e2 = e0)
% 18.91/5.12 |
% 18.91/5.12 | Simplifying 191 yields:
% 18.91/5.12 | (29) ~ (e2 = e0)
% 18.91/5.12 |
% 18.91/5.12 +-Applying beta-rule and splitting (17), into two cases.
% 18.91/5.12 |-Branch one:
% 18.91/5.12 | (335) all_0_20_20 = e2
% 18.91/5.12 |
% 18.91/5.12 | Equations (335) can reduce 466 to:
% 18.91/5.12 | (172) $false
% 18.91/5.12 |
% 18.91/5.12 |-The branch is then unsatisfiable
% 18.91/5.12 |-Branch two:
% 18.91/5.12 | (466) ~ (all_0_20_20 = e2)
% 18.91/5.12 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 18.91/5.12 |
% 18.91/5.12 +-Applying beta-rule and splitting (509), into two cases.
% 18.91/5.12 |-Branch one:
% 18.91/5.12 | (510) all_0_21_21 = e2
% 18.91/5.12 |
% 18.91/5.12 | Combining equations (356,510) yields a new equation:
% 19.38/5.12 | (511) e3 = e2
% 19.38/5.12 |
% 19.38/5.12 | Simplifying 511 yields:
% 19.38/5.12 | (352) e3 = e2
% 19.38/5.12 |
% 19.38/5.12 | Equations (352) can reduce 111 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (514) ~ (all_0_21_21 = e2)
% 19.38/5.12 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (134), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (516) all_0_14_14 = e3
% 19.38/5.12 |
% 19.38/5.12 | Equations (516) can reduce 308 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (308) ~ (all_0_14_14 = e3)
% 19.38/5.12 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (515), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (520) all_0_22_22 = e2
% 19.38/5.12 |
% 19.38/5.12 | Equations (520) can reduce 160 to:
% 19.38/5.12 | (521) ~ (all_0_14_14 = e2)
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (519), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (522) all_0_14_14 = e2
% 19.38/5.12 |
% 19.38/5.12 | Equations (522) can reduce 521 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (521) ~ (all_0_14_14 = e2)
% 19.38/5.12 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (525), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (262) all_0_14_14 = e1
% 19.38/5.12 |
% 19.38/5.12 | Equations (262) can reduce 222 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (222) ~ (all_0_14_14 = e1)
% 19.38/5.12 | (529) all_0_14_14 = e0
% 19.38/5.12 |
% 19.38/5.12 | Equations (529) can reduce 470 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (531) ~ (all_0_22_22 = e2)
% 19.38/5.12 | (175) all_0_23_23 = e2
% 19.38/5.12 |
% 19.38/5.12 | Combining equations (175,182) yields a new equation:
% 19.38/5.12 | (499) e2 = e0
% 19.38/5.12 |
% 19.38/5.12 | Simplifying 499 yields:
% 19.38/5.12 | (500) e2 = e0
% 19.38/5.12 |
% 19.38/5.12 | Equations (500) can reduce 29 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (536) ~ (all_0_15_15 = e1)
% 19.38/5.12 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (537), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (458) all_0_19_19 = e1
% 19.38/5.12 |
% 19.38/5.12 | Equations (458) can reduce 312 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (312) ~ (all_0_19_19 = e1)
% 19.38/5.12 | (179) all_0_23_23 = e1
% 19.38/5.12 |
% 19.38/5.12 | Combining equations (179,182) yields a new equation:
% 19.38/5.12 | (542) e1 = e0
% 19.38/5.12 |
% 19.38/5.12 | Simplifying 542 yields:
% 19.38/5.12 | (543) e1 = e0
% 19.38/5.12 |
% 19.38/5.12 | Equations (543) can reduce 157 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (423) ~ (all_0_9_9 = e1)
% 19.38/5.12 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (546), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (444) all_0_13_13 = e1
% 19.38/5.12 |
% 19.38/5.12 | Equations (444) can reduce 167 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (167) ~ (all_0_13_13 = e1)
% 19.38/5.12 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (550), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (368) all_0_17_17 = e1
% 19.38/5.12 |
% 19.38/5.12 | Equations (368) can reduce 310 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (310) ~ (all_0_17_17 = e1)
% 19.38/5.12 | (554) all_0_21_21 = e1
% 19.38/5.12 |
% 19.38/5.12 | Combining equations (356,554) yields a new equation:
% 19.38/5.12 | (555) e3 = e1
% 19.38/5.12 |
% 19.38/5.12 | Simplifying 555 yields:
% 19.38/5.12 | (556) e3 = e1
% 19.38/5.12 |
% 19.38/5.12 | Equations (556) can reduce 163 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (449) ~ (all_0_21_21 = e3)
% 19.38/5.12 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (450), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (560) all_0_22_22 = e3
% 19.38/5.12 |
% 19.38/5.12 | Equations (560) can reduce 319 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (319) ~ (all_0_22_22 = e3)
% 19.38/5.12 | (171) all_0_23_23 = e3
% 19.38/5.12 |
% 19.38/5.12 | Combining equations (171,182) yields a new equation:
% 19.38/5.12 | (564) e3 = e0
% 19.38/5.12 |
% 19.38/5.12 | Simplifying 564 yields:
% 19.38/5.12 | (323) e3 = e0
% 19.38/5.12 |
% 19.38/5.12 | Equations (323) can reduce 3 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (426) ~ (all_0_10_10 = e0)
% 19.38/5.12 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (427), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (529) all_0_14_14 = e0
% 19.38/5.12 |
% 19.38/5.12 | Equations (529) can reduce 470 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (470) ~ (all_0_14_14 = e0)
% 19.38/5.12 | (572) all_0_18_18 = e0 | all_0_22_22 = e0
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (107), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (327) all_0_20_20 = e3
% 19.38/5.12 |
% 19.38/5.12 | Equations (327) can reduce 210 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (210) ~ (all_0_20_20 = e3)
% 19.38/5.12 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (355), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (356) all_0_21_21 = e3
% 19.38/5.12 |
% 19.38/5.12 | Equations (356) can reduce 187 to:
% 19.38/5.12 | (3) ~ (e3 = e0)
% 19.38/5.12 |
% 19.38/5.12 +-Applying beta-rule and splitting (572), into two cases.
% 19.38/5.12 |-Branch one:
% 19.38/5.12 | (302) all_0_18_18 = e0
% 19.38/5.12 |
% 19.38/5.12 | Combining equations (302,212) yields a new equation:
% 19.38/5.12 | (323) e3 = e0
% 19.38/5.12 |
% 19.38/5.12 | Equations (323) can reduce 3 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.12 | (197) ~ (all_0_18_18 = e0)
% 19.38/5.12 | (583) all_0_22_22 = e0
% 19.38/5.12 |
% 19.38/5.12 | Equations (583) can reduce 188 to:
% 19.38/5.12 | (172) $false
% 19.38/5.12 |
% 19.38/5.12 |-The branch is then unsatisfiable
% 19.38/5.12 |-Branch two:
% 19.38/5.13 | (449) ~ (all_0_21_21 = e3)
% 19.38/5.13 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (151), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (338) all_0_9_9 = e3
% 19.38/5.13 |
% 19.38/5.13 | Equations (338) can reduce 202 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (202) ~ (all_0_9_9 = e3)
% 19.38/5.13 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (341), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (347) all_0_13_13 = e3
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (82), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (337) ~ (all_0_13_13 = e3)
% 19.38/5.13 |
% 19.38/5.13 | Equations (347) can reduce 337 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (347) all_0_13_13 = e3
% 19.38/5.13 | (385) all_0_12_12 = e2
% 19.38/5.13 |
% 19.38/5.13 | Combining equations (385,392) yields a new equation:
% 19.38/5.13 | (499) e2 = e0
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 499 yields:
% 19.38/5.13 | (500) e2 = e0
% 19.38/5.13 |
% 19.38/5.13 | Equations (500) can reduce 29 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (337) ~ (all_0_13_13 = e3)
% 19.38/5.13 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (350), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (360) all_0_17_17 = e3
% 19.38/5.13 |
% 19.38/5.13 | Equations (360) can reduce 315 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (315) ~ (all_0_17_17 = e3)
% 19.38/5.13 | (356) all_0_21_21 = e3
% 19.38/5.13 |
% 19.38/5.13 | Equations (356) can reduce 449 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (606) ~ (all_0_12_12 = e0)
% 19.38/5.13 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (607), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (608) all_0_16_16 = e0
% 19.38/5.13 |
% 19.38/5.13 | Combining equations (305,608) yields a new equation:
% 19.38/5.13 | (542) e1 = e0
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 542 yields:
% 19.38/5.13 | (543) e1 = e0
% 19.38/5.13 |
% 19.38/5.13 | Equations (543) can reduce 157 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (612) ~ (all_0_16_16 = e0)
% 19.38/5.13 | (613) all_0_20_20 = e0
% 19.38/5.13 |
% 19.38/5.13 | Equations (613) can reduce 186 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (232) ~ (all_0_8_8 = e3)
% 19.38/5.13 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (616), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (492) all_0_8_8 = e2
% 19.38/5.13 |
% 19.38/5.13 | Equations (492) can reduce 198 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (198) ~ (all_0_8_8 = e2)
% 19.38/5.13 | (620) all_0_8_8 = e1 | all_0_8_8 = e0
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (620), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (621) all_0_8_8 = e1
% 19.38/5.13 |
% 19.38/5.13 | Equations (621) can reduce 196 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (196) ~ (all_0_8_8 = e1)
% 19.38/5.13 | (322) all_0_8_8 = e0
% 19.38/5.13 |
% 19.38/5.13 | Equations (322) can reduce 199 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (322) all_0_8_8 = e0
% 19.38/5.13 | (399) all_0_11_11 = e3
% 19.38/5.13 |
% 19.38/5.13 | Equations (322) can reduce 116 to:
% 19.38/5.13 | (628) ~ (all_0_9_9 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 628 yields:
% 19.38/5.13 | (372) ~ (all_0_9_9 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Equations (322) can reduce 24 to:
% 19.38/5.13 | (630) ~ (all_0_10_10 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 630 yields:
% 19.38/5.13 | (426) ~ (all_0_10_10 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Equations (322) can reduce 121 to:
% 19.38/5.13 | (632) ~ (all_0_16_16 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 632 yields:
% 19.38/5.13 | (612) ~ (all_0_16_16 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Equations (322) can reduce 125 to:
% 19.38/5.13 | (634) ~ (all_0_20_20 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 634 yields:
% 19.38/5.13 | (186) ~ (all_0_20_20 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Equations (322) can reduce 198 to:
% 19.38/5.13 | (191) ~ (e2 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 191 yields:
% 19.38/5.13 | (29) ~ (e2 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Equations (322) can reduce 196 to:
% 19.38/5.13 | (193) ~ (e1 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 193 yields:
% 19.38/5.13 | (157) ~ (e1 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Equations (399) can reduce 23 to:
% 19.38/5.13 | (306) ~ (all_0_10_10 = e3)
% 19.38/5.13 |
% 19.38/5.13 | Equations (399) can reduce 129 to:
% 19.38/5.13 | (641) ~ (all_0_15_15 = e3)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 641 yields:
% 19.38/5.13 | (642) ~ (all_0_15_15 = e3)
% 19.38/5.13 |
% 19.38/5.13 | Equations (399) can reduce 132 to:
% 19.38/5.13 | (316) ~ (all_0_19_19 = e3)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 316 yields:
% 19.38/5.13 | (317) ~ (all_0_19_19 = e3)
% 19.38/5.13 |
% 19.38/5.13 | Equations (399) can reduce 183 to:
% 19.38/5.13 | (3) ~ (e3 = e0)
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (145), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (395) all_0_10_10 = e0
% 19.38/5.13 |
% 19.38/5.13 | Equations (395) can reduce 426 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (426) ~ (all_0_10_10 = e0)
% 19.38/5.13 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (117), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (608) all_0_16_16 = e0
% 19.38/5.13 |
% 19.38/5.13 | Equations (608) can reduce 612 to:
% 19.38/5.13 | (172) $false
% 19.38/5.13 |
% 19.38/5.13 |-The branch is then unsatisfiable
% 19.38/5.13 |-Branch two:
% 19.38/5.13 | (612) ~ (all_0_16_16 = e0)
% 19.38/5.13 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 19.38/5.13 |
% 19.38/5.13 +-Applying beta-rule and splitting (427), into two cases.
% 19.38/5.13 |-Branch one:
% 19.38/5.13 | (529) all_0_14_14 = e0
% 19.38/5.13 |
% 19.38/5.13 | Equations (529) can reduce 40 to:
% 19.38/5.13 | (426) ~ (all_0_10_10 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Equations (529) can reduce 12 to:
% 19.38/5.13 | (373) ~ (all_0_13_13 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Equations (529) can reduce 71 to:
% 19.38/5.13 | (657) ~ (all_0_15_15 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 657 yields:
% 19.38/5.13 | (184) ~ (all_0_15_15 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Equations (529) can reduce 160 to:
% 19.38/5.13 | (659) ~ (all_0_22_22 = e0)
% 19.38/5.13 |
% 19.38/5.13 | Simplifying 659 yields:
% 19.38/5.14 | (188) ~ (all_0_22_22 = e0)
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (34), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (424) all_0_9_9 = e0
% 19.38/5.14 |
% 19.38/5.14 | Equations (424) can reduce 372 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (372) ~ (all_0_9_9 = e0)
% 19.38/5.14 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (664), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (447) all_0_13_13 = e0
% 19.38/5.14 |
% 19.38/5.14 | Equations (447) can reduce 373 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (373) ~ (all_0_13_13 = e0)
% 19.38/5.14 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (668), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (371) all_0_17_17 = e0
% 19.38/5.14 |
% 19.38/5.14 | Equations (371) can reduce 136 to:
% 19.38/5.14 | (372) ~ (all_0_9_9 = e0)
% 19.38/5.14 |
% 19.38/5.14 | Equations (371) can reduce 5 to:
% 19.38/5.14 | (373) ~ (all_0_13_13 = e0)
% 19.38/5.14 |
% 19.38/5.14 | Equations (371) can reduce 144 to:
% 19.38/5.14 | (612) ~ (all_0_16_16 = e0)
% 19.38/5.14 |
% 19.38/5.14 | Equations (371) can reduce 80 to:
% 19.38/5.14 | (673) ~ (all_0_18_18 = e0)
% 19.38/5.14 |
% 19.38/5.14 | Simplifying 673 yields:
% 19.38/5.14 | (197) ~ (all_0_18_18 = e0)
% 19.38/5.14 |
% 19.38/5.14 | Equations (371) can reduce 10 to:
% 19.38/5.14 | (675) ~ (all_0_19_19 = e0)
% 19.38/5.14 |
% 19.38/5.14 | Simplifying 675 yields:
% 19.38/5.14 | (185) ~ (all_0_19_19 = e0)
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (127), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (211) ~ (all_0_18_18 = e3)
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (77), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (277) all_0_16_16 = e3
% 19.38/5.14 |
% 19.38/5.14 | Equations (277) can reduce 45 to:
% 19.38/5.14 | (206) ~ (all_0_12_12 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Equations (277) can reduce 28 to:
% 19.38/5.14 | (680) ~ (all_0_18_18 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Simplifying 680 yields:
% 19.38/5.14 | (211) ~ (all_0_18_18 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Equations (277) can reduce 138 to:
% 19.38/5.14 | (316) ~ (all_0_19_19 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Simplifying 316 yields:
% 19.38/5.14 | (317) ~ (all_0_19_19 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Equations (277) can reduce 612 to:
% 19.38/5.14 | (3) ~ (e3 = e0)
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (113), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (685) all_0_16_16 = e2
% 19.38/5.14 |
% 19.38/5.14 | Combining equations (685,277) yields a new equation:
% 19.38/5.14 | (352) e3 = e2
% 19.38/5.14 |
% 19.38/5.14 | Equations (352) can reduce 111 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (688) ~ (all_0_16_16 = e2)
% 19.38/5.14 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (689), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (282) all_0_17_17 = e2
% 19.38/5.14 |
% 19.38/5.14 | Combining equations (371,282) yields a new equation:
% 19.38/5.14 | (500) e2 = e0
% 19.38/5.14 |
% 19.38/5.14 | Equations (500) can reduce 29 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (344) ~ (all_0_17_17 = e2)
% 19.38/5.14 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (27), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (695) all_0_10_10 = e3
% 19.38/5.14 |
% 19.38/5.14 | Equations (695) can reduce 306 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (306) ~ (all_0_10_10 = e3)
% 19.38/5.14 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (698), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (516) all_0_14_14 = e3
% 19.38/5.14 |
% 19.38/5.14 | Combining equations (529,516) yields a new equation:
% 19.38/5.14 | (323) e3 = e0
% 19.38/5.14 |
% 19.38/5.14 | Equations (323) can reduce 3 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (308) ~ (all_0_14_14 = e3)
% 19.38/5.14 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (703), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (212) all_0_18_18 = e3
% 19.38/5.14 |
% 19.38/5.14 | Equations (212) can reduce 211 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (211) ~ (all_0_18_18 = e3)
% 19.38/5.14 | (560) all_0_22_22 = e3
% 19.38/5.14 |
% 19.38/5.14 | Equations (560) can reduce 72 to:
% 19.38/5.14 | (306) ~ (all_0_10_10 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Equations (560) can reduce 119 to:
% 19.38/5.14 | (211) ~ (all_0_18_18 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Equations (560) can reduce 188 to:
% 19.38/5.14 | (3) ~ (e3 = e0)
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (165), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (254) all_0_12_12 = e3
% 19.38/5.14 |
% 19.38/5.14 | Equations (254) can reduce 206 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (206) ~ (all_0_12_12 = e3)
% 19.38/5.14 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (714), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (347) all_0_13_13 = e3
% 19.38/5.14 |
% 19.38/5.14 | Equations (347) can reduce 22 to:
% 19.38/5.14 | (202) ~ (all_0_9_9 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Equations (347) can reduce 135 to:
% 19.38/5.14 | (641) ~ (all_0_15_15 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Simplifying 641 yields:
% 19.38/5.14 | (642) ~ (all_0_15_15 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Equations (347) can reduce 373 to:
% 19.38/5.14 | (3) ~ (e3 = e0)
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (82), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (337) ~ (all_0_13_13 = e3)
% 19.38/5.14 |
% 19.38/5.14 | Equations (347) can reduce 337 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (347) all_0_13_13 = e3
% 19.38/5.14 | (385) all_0_12_12 = e2
% 19.38/5.14 |
% 19.38/5.14 | Equations (385) can reduce 30 to:
% 19.38/5.14 | (724) ~ (all_0_15_15 = e2)
% 19.38/5.14 |
% 19.38/5.14 | Simplifying 724 yields:
% 19.38/5.14 | (725) ~ (all_0_15_15 = e2)
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (139), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (726) all_0_15_15 = e3
% 19.38/5.14 |
% 19.38/5.14 | Equations (726) can reduce 642 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (642) ~ (all_0_15_15 = e3)
% 19.38/5.14 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (68), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (730) all_0_10_10 = e2
% 19.38/5.14 |
% 19.38/5.14 | Equations (730) can reduce 166 to:
% 19.38/5.14 | (383) ~ (all_0_9_9 = e2)
% 19.38/5.14 |
% 19.38/5.14 | Equations (730) can reduce 51 to:
% 19.38/5.14 | (732) ~ (all_0_18_18 = e2)
% 19.38/5.14 |
% 19.38/5.14 | Simplifying 732 yields:
% 19.38/5.14 | (195) ~ (all_0_18_18 = e2)
% 19.38/5.14 |
% 19.38/5.14 | Equations (730) can reduce 306 to:
% 19.38/5.14 | (345) ~ (e3 = e2)
% 19.38/5.14 |
% 19.38/5.14 | Simplifying 345 yields:
% 19.38/5.14 | (111) ~ (e3 = e2)
% 19.38/5.14 |
% 19.38/5.14 | Equations (730) can reduce 426 to:
% 19.38/5.14 | (29) ~ (e2 = e0)
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (69), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (338) all_0_9_9 = e3
% 19.38/5.14 |
% 19.38/5.14 | Equations (338) can reduce 202 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.14 | (202) ~ (all_0_9_9 = e3)
% 19.38/5.14 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 19.38/5.14 |
% 19.38/5.14 +-Applying beta-rule and splitting (49), into two cases.
% 19.38/5.14 |-Branch one:
% 19.38/5.14 | (242) all_0_10_10 = e1
% 19.38/5.14 |
% 19.38/5.14 | Combining equations (242,730) yields a new equation:
% 19.38/5.14 | (742) e2 = e1
% 19.38/5.14 |
% 19.38/5.14 | Equations (742) can reduce 75 to:
% 19.38/5.14 | (172) $false
% 19.38/5.14 |
% 19.38/5.14 |-The branch is then unsatisfiable
% 19.38/5.14 |-Branch two:
% 19.38/5.15 | (221) ~ (all_0_10_10 = e1)
% 19.38/5.15 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (47), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (621) all_0_8_8 = e1
% 19.38/5.15 |
% 19.38/5.15 | Combining equations (621,322) yields a new equation:
% 19.38/5.15 | (542) e1 = e0
% 19.38/5.15 |
% 19.38/5.15 | Simplifying 542 yields:
% 19.38/5.15 | (543) e1 = e0
% 19.38/5.15 |
% 19.38/5.15 | Equations (543) can reduce 157 to:
% 19.38/5.15 | (172) $false
% 19.38/5.15 |
% 19.38/5.15 |-The branch is then unsatisfiable
% 19.38/5.15 |-Branch two:
% 19.38/5.15 | (196) ~ (all_0_8_8 = e1)
% 19.38/5.15 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (729), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (752) all_0_15_15 = e2
% 19.38/5.15 |
% 19.38/5.15 | Equations (752) can reduce 725 to:
% 19.38/5.15 | (172) $false
% 19.38/5.15 |
% 19.38/5.15 |-The branch is then unsatisfiable
% 19.38/5.15 |-Branch two:
% 19.38/5.15 | (725) ~ (all_0_15_15 = e2)
% 19.38/5.15 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (755), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (490) all_0_15_15 = e1
% 19.38/5.15 |
% 19.38/5.15 | Equations (490) can reduce 89 to:
% 19.38/5.15 | (311) ~ (all_0_19_19 = e1)
% 19.38/5.15 |
% 19.38/5.15 | Simplifying 311 yields:
% 19.38/5.15 | (312) ~ (all_0_19_19 = e1)
% 19.38/5.15 |
% 19.38/5.15 | Equations (490) can reduce 642 to:
% 19.38/5.15 | (313) ~ (e3 = e1)
% 19.38/5.15 |
% 19.38/5.15 | Simplifying 313 yields:
% 19.38/5.15 | (163) ~ (e3 = e1)
% 19.38/5.15 |
% 19.38/5.15 | Equations (490) can reduce 184 to:
% 19.38/5.15 | (157) ~ (e1 = e0)
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (751), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (411) all_0_9_9 = e1
% 19.38/5.15 |
% 19.38/5.15 | Equations (411) can reduce 202 to:
% 19.38/5.15 | (313) ~ (e3 = e1)
% 19.38/5.15 |
% 19.38/5.15 | Simplifying 313 yields:
% 19.38/5.15 | (163) ~ (e3 = e1)
% 19.38/5.15 |
% 19.38/5.15 | Equations (411) can reduce 372 to:
% 19.38/5.15 | (157) ~ (e1 = e0)
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (161), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (305) all_0_16_16 = e1
% 19.38/5.15 |
% 19.38/5.15 | Combining equations (277,305) yields a new equation:
% 19.38/5.15 | (555) e3 = e1
% 19.38/5.15 |
% 19.38/5.15 | Simplifying 555 yields:
% 19.38/5.15 | (556) e3 = e1
% 19.38/5.15 |
% 19.38/5.15 | Equations (556) can reduce 163 to:
% 19.38/5.15 | (172) $false
% 19.38/5.15 |
% 19.38/5.15 |-The branch is then unsatisfiable
% 19.38/5.15 |-Branch two:
% 19.38/5.15 | (770) ~ (all_0_16_16 = e1)
% 19.38/5.15 | (771) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 19.38/5.15 |
% 19.38/5.15 | Equations (277) can reduce 770 to:
% 19.38/5.15 | (163) ~ (e3 = e1)
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (146), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (621) all_0_8_8 = e1
% 19.38/5.15 |
% 19.38/5.15 | Combining equations (621,322) yields a new equation:
% 19.38/5.15 | (542) e1 = e0
% 19.38/5.15 |
% 19.38/5.15 | Simplifying 542 yields:
% 19.38/5.15 | (543) e1 = e0
% 19.38/5.15 |
% 19.38/5.15 | Equations (543) can reduce 157 to:
% 19.38/5.15 | (172) $false
% 19.38/5.15 |
% 19.38/5.15 |-The branch is then unsatisfiable
% 19.38/5.15 |-Branch two:
% 19.38/5.15 | (196) ~ (all_0_8_8 = e1)
% 19.38/5.15 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 19.38/5.15 |
% 19.38/5.15 | Equations (322) can reduce 196 to:
% 19.38/5.15 | (193) ~ (e1 = e0)
% 19.38/5.15 |
% 19.38/5.15 | Simplifying 193 yields:
% 19.38/5.15 | (157) ~ (e1 = e0)
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (52), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (331) all_0_19_19 = e3
% 19.38/5.15 |
% 19.38/5.15 | Equations (331) can reduce 317 to:
% 19.38/5.15 | (172) $false
% 19.38/5.15 |
% 19.38/5.15 |-The branch is then unsatisfiable
% 19.38/5.15 |-Branch two:
% 19.38/5.15 | (317) ~ (all_0_19_19 = e3)
% 19.38/5.15 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (334), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (342) all_0_19_19 = e2
% 19.38/5.15 |
% 19.38/5.15 | Equations (342) can reduce 317 to:
% 19.38/5.15 | (345) ~ (e3 = e2)
% 19.38/5.15 |
% 19.38/5.15 | Simplifying 345 yields:
% 19.38/5.15 | (111) ~ (e3 = e2)
% 19.38/5.15 |
% 19.38/5.15 | Equations (342) can reduce 312 to:
% 19.38/5.15 | (75) ~ (e2 = e1)
% 19.38/5.15 |
% 19.38/5.15 | Equations (342) can reduce 185 to:
% 19.38/5.15 | (29) ~ (e2 = e0)
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (745), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (262) all_0_14_14 = e1
% 19.38/5.15 |
% 19.38/5.15 | Combining equations (529,262) yields a new equation:
% 19.38/5.15 | (543) e1 = e0
% 19.38/5.15 |
% 19.38/5.15 | Equations (543) can reduce 157 to:
% 19.38/5.15 | (172) $false
% 19.38/5.15 |
% 19.38/5.15 |-The branch is then unsatisfiable
% 19.38/5.15 |-Branch two:
% 19.38/5.15 | (222) ~ (all_0_14_14 = e1)
% 19.38/5.15 | (794) all_0_18_18 = e1 | all_0_22_22 = e1
% 19.38/5.15 |
% 19.38/5.15 | Equations (529) can reduce 222 to:
% 19.38/5.15 | (193) ~ (e1 = e0)
% 19.38/5.15 |
% 19.38/5.15 | Simplifying 193 yields:
% 19.38/5.15 | (157) ~ (e1 = e0)
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (99), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (223), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (224), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.15 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.38/5.15 |
% 19.38/5.15 +-Applying beta-rule and splitting (225), into two cases.
% 19.38/5.15 |-Branch one:
% 19.38/5.16 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.38/5.16 |
% 19.38/5.16 +-Applying beta-rule and splitting (226), into two cases.
% 19.38/5.16 |-Branch one:
% 19.38/5.16 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.38/5.16 |
% 19.38/5.16 +-Applying beta-rule and splitting (227), into two cases.
% 19.38/5.16 |-Branch one:
% 19.38/5.16 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.38/5.16 |
% 19.38/5.16 +-Applying beta-rule and splitting (228), into two cases.
% 19.38/5.16 |-Branch one:
% 19.38/5.16 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.38/5.16 |
% 19.38/5.16 +-Applying beta-rule and splitting (229), into two cases.
% 19.38/5.16 |-Branch one:
% 19.38/5.16 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.38/5.16 |
% 19.38/5.16 +-Applying beta-rule and splitting (230), into two cases.
% 19.38/5.16 |-Branch one:
% 19.38/5.16 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.38/5.16 |
% 19.38/5.16 | Applying alpha-rule on (231) yields:
% 19.38/5.16 | (232) ~ (all_0_8_8 = e3)
% 19.38/5.16 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.38/5.16 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.38/5.16 | (235) all_0_9_9 = e2
% 19.38/5.16 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.38/5.16 |
% 19.38/5.16 | Combining equations (411,235) yields a new equation:
% 19.38/5.16 | (742) e2 = e1
% 19.38/5.16 |
% 19.38/5.16 | Equations (742) can reduce 75 to:
% 19.38/5.16 | (172) $false
% 19.38/5.16 |
% 19.38/5.16 |-The branch is then unsatisfiable
% 19.38/5.16 |-Branch two:
% 19.38/5.16 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.38/5.16 |
% 19.38/5.16 | Applying alpha-rule on (238) yields:
% 19.38/5.16 | (232) ~ (all_0_8_8 = e3)
% 19.38/5.16 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.38/5.16 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.38/5.16 | (242) all_0_10_10 = e1
% 19.38/5.16 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.38/5.16 |
% 19.38/5.16 | Combining equations (242,730) yields a new equation:
% 19.38/5.16 | (742) e2 = e1
% 19.38/5.16 |
% 19.38/5.16 | Equations (742) can reduce 75 to:
% 19.38/5.16 | (172) $false
% 19.38/5.16 |
% 19.38/5.16 |-The branch is then unsatisfiable
% 19.38/5.16 |-Branch two:
% 19.38/5.16 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.38/5.16 |
% 19.38/5.16 | Applying alpha-rule on (245) yields:
% 19.38/5.16 | (232) ~ (all_0_8_8 = e3)
% 19.38/5.16 | (247) all_0_11_11 = e0
% 19.38/5.16 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.38/5.16 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.38/5.16 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.38/5.16 |
% 19.38/5.16 | Combining equations (399,247) yields a new equation:
% 19.38/5.16 | (564) e3 = e0
% 19.38/5.16 |
% 19.38/5.16 | Simplifying 564 yields:
% 19.38/5.16 | (323) e3 = e0
% 19.38/5.16 |
% 19.38/5.16 | Equations (323) can reduce 3 to:
% 19.38/5.16 | (172) $false
% 19.38/5.16 |
% 19.38/5.16 |-The branch is then unsatisfiable
% 19.38/5.16 |-Branch two:
% 19.38/5.16 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.38/5.16 |
% 19.38/5.16 | Applying alpha-rule on (252) yields:
% 19.38/5.16 | (253) ~ (all_0_13_13 = e2)
% 19.38/5.16 | (254) all_0_12_12 = e3
% 19.38/5.16 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.38/5.16 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.38/5.16 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.38/5.16 |
% 19.38/5.16 | Combining equations (385,254) yields a new equation:
% 19.38/5.16 | (352) e3 = e2
% 19.38/5.16 |
% 19.38/5.16 | Equations (352) can reduce 111 to:
% 19.38/5.16 | (172) $false
% 19.38/5.16 |
% 19.38/5.16 |-The branch is then unsatisfiable
% 19.38/5.16 |-Branch two:
% 19.38/5.16 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.38/5.16 |
% 19.38/5.16 | Applying alpha-rule on (259) yields:
% 19.38/5.16 | (253) ~ (all_0_13_13 = e2)
% 19.38/5.16 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.38/5.16 | (262) all_0_14_14 = e1
% 19.38/5.16 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.38/5.16 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.38/5.16 |
% 19.38/5.16 | Combining equations (529,262) yields a new equation:
% 19.38/5.16 | (543) e1 = e0
% 19.38/5.16 |
% 19.38/5.16 | Equations (543) can reduce 157 to:
% 19.38/5.16 | (172) $false
% 19.38/5.16 |
% 19.38/5.16 |-The branch is then unsatisfiable
% 19.38/5.16 |-Branch two:
% 19.38/5.16 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.38/5.16 |
% 19.38/5.16 | Applying alpha-rule on (266) yields:
% 19.38/5.16 | (253) ~ (all_0_13_13 = e2)
% 19.38/5.16 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.38/5.16 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.38/5.16 | (270) all_0_15_15 = e0
% 19.38/5.16 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.38/5.16 |
% 19.38/5.16 | Combining equations (490,270) yields a new equation:
% 19.38/5.16 | (542) e1 = e0
% 19.38/5.16 |
% 19.38/5.16 | Simplifying 542 yields:
% 19.38/5.16 | (543) e1 = e0
% 19.38/5.16 |
% 19.38/5.16 | Equations (543) can reduce 157 to:
% 19.38/5.16 | (172) $false
% 19.38/5.16 |
% 19.38/5.16 |-The branch is then unsatisfiable
% 19.38/5.16 |-Branch two:
% 19.38/5.16 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.38/5.16 |
% 19.38/5.16 | Applying alpha-rule on (273) yields:
% 19.38/5.16 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.38/5.16 | (275) ~ (all_0_18_18 = e1)
% 19.38/5.16 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.38/5.16 | (277) all_0_16_16 = e3
% 19.38/5.16 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.38/5.16 |
% 19.38/5.16 +-Applying beta-rule and splitting (794), into two cases.
% 19.38/5.16 |-Branch one:
% 19.38/5.16 | (220) all_0_18_18 = e1
% 19.38/5.16 |
% 19.38/5.16 | Equations (220) can reduce 275 to:
% 19.38/5.16 | (172) $false
% 19.38/5.16 |
% 19.38/5.16 |-The branch is then unsatisfiable
% 19.38/5.16 |-Branch two:
% 19.38/5.16 | (275) ~ (all_0_18_18 = e1)
% 19.38/5.16 | (864) all_0_22_22 = e1
% 19.38/5.16 |
% 19.38/5.16 | Combining equations (560,864) yields a new equation:
% 19.38/5.16 | (555) e3 = e1
% 19.38/5.16 |
% 19.38/5.16 | Simplifying 555 yields:
% 19.38/5.16 | (556) e3 = e1
% 19.38/5.16 |
% 19.38/5.16 | Equations (556) can reduce 163 to:
% 19.38/5.16 | (172) $false
% 19.38/5.16 |
% 19.38/5.16 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.38/5.17 |
% 19.38/5.17 | Applying alpha-rule on (280) yields:
% 19.38/5.17 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.38/5.17 | (282) all_0_17_17 = e2
% 19.38/5.17 | (275) ~ (all_0_18_18 = e1)
% 19.38/5.17 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.38/5.17 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.38/5.17 |
% 19.38/5.17 | Combining equations (371,282) yields a new equation:
% 19.38/5.17 | (500) e2 = e0
% 19.38/5.17 |
% 19.38/5.17 | Equations (500) can reduce 29 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.38/5.17 |
% 19.38/5.17 | Applying alpha-rule on (287) yields:
% 19.38/5.17 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.38/5.17 | (275) ~ (all_0_18_18 = e1)
% 19.38/5.17 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.38/5.17 | (291) all_0_19_19 = e0
% 19.38/5.17 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.38/5.17 |
% 19.38/5.17 | Combining equations (342,291) yields a new equation:
% 19.38/5.17 | (499) e2 = e0
% 19.38/5.17 |
% 19.38/5.17 | Simplifying 499 yields:
% 19.38/5.17 | (500) e2 = e0
% 19.38/5.17 |
% 19.38/5.17 | Equations (500) can reduce 29 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 19.38/5.17 |
% 19.38/5.17 | Applying alpha-rule on (294) yields:
% 19.38/5.17 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 19.38/5.17 | (296) ~ (all_0_23_23 = e0)
% 19.38/5.17 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 19.38/5.17 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 19.38/5.17 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 19.38/5.17 |
% 19.38/5.17 | Equations (182) can reduce 296 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (456) ~ (all_0_19_19 = e2)
% 19.38/5.17 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (457), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (458) all_0_19_19 = e1
% 19.38/5.17 |
% 19.38/5.17 | Equations (458) can reduce 312 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (312) ~ (all_0_19_19 = e1)
% 19.38/5.17 | (291) all_0_19_19 = e0
% 19.38/5.17 |
% 19.38/5.17 | Equations (291) can reduce 185 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (423) ~ (all_0_9_9 = e1)
% 19.38/5.17 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (146), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (621) all_0_8_8 = e1
% 19.38/5.17 |
% 19.38/5.17 | Combining equations (621,322) yields a new equation:
% 19.38/5.17 | (542) e1 = e0
% 19.38/5.17 |
% 19.38/5.17 | Simplifying 542 yields:
% 19.38/5.17 | (543) e1 = e0
% 19.38/5.17 |
% 19.38/5.17 | Equations (543) can reduce 157 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (196) ~ (all_0_8_8 = e1)
% 19.38/5.17 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 19.38/5.17 |
% 19.38/5.17 | Equations (322) can reduce 196 to:
% 19.38/5.17 | (193) ~ (e1 = e0)
% 19.38/5.17 |
% 19.38/5.17 | Simplifying 193 yields:
% 19.38/5.17 | (157) ~ (e1 = e0)
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (161), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (305) all_0_16_16 = e1
% 19.38/5.17 |
% 19.38/5.17 | Combining equations (277,305) yields a new equation:
% 19.38/5.17 | (555) e3 = e1
% 19.38/5.17 |
% 19.38/5.17 | Simplifying 555 yields:
% 19.38/5.17 | (556) e3 = e1
% 19.38/5.17 |
% 19.38/5.17 | Equations (556) can reduce 163 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (770) ~ (all_0_16_16 = e1)
% 19.38/5.17 | (771) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (771), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (368) all_0_17_17 = e1
% 19.38/5.17 |
% 19.38/5.17 | Combining equations (368,371) yields a new equation:
% 19.38/5.17 | (542) e1 = e0
% 19.38/5.17 |
% 19.38/5.17 | Simplifying 542 yields:
% 19.38/5.17 | (543) e1 = e0
% 19.38/5.17 |
% 19.38/5.17 | Equations (543) can reduce 157 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (310) ~ (all_0_17_17 = e1)
% 19.38/5.17 | (920) all_0_18_18 = e1 | all_0_19_19 = e1
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (920), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (220) all_0_18_18 = e1
% 19.38/5.17 |
% 19.38/5.17 | Equations (220) can reduce 211 to:
% 19.38/5.17 | (313) ~ (e3 = e1)
% 19.38/5.17 |
% 19.38/5.17 | Simplifying 313 yields:
% 19.38/5.17 | (163) ~ (e3 = e1)
% 19.38/5.17 |
% 19.38/5.17 | Equations (220) can reduce 195 to:
% 19.38/5.17 | (924) ~ (e2 = e1)
% 19.38/5.17 |
% 19.38/5.17 | Simplifying 924 yields:
% 19.38/5.17 | (75) ~ (e2 = e1)
% 19.38/5.17 |
% 19.38/5.17 | Equations (220) can reduce 197 to:
% 19.38/5.17 | (157) ~ (e1 = e0)
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (61), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (235) all_0_9_9 = e2
% 19.38/5.17 |
% 19.38/5.17 | Equations (235) can reduce 383 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (383) ~ (all_0_9_9 = e2)
% 19.38/5.17 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (21), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (411) all_0_9_9 = e1
% 19.38/5.17 |
% 19.38/5.17 | Equations (411) can reduce 423 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (423) ~ (all_0_9_9 = e1)
% 19.38/5.17 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (930), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (382) all_0_13_13 = e2
% 19.38/5.17 |
% 19.38/5.17 | Combining equations (382,347) yields a new equation:
% 19.38/5.17 | (352) e3 = e2
% 19.38/5.17 |
% 19.38/5.17 | Equations (352) can reduce 111 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (253) ~ (all_0_13_13 = e2)
% 19.38/5.17 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (546), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (444) all_0_13_13 = e1
% 19.38/5.17 |
% 19.38/5.17 | Combining equations (444,347) yields a new equation:
% 19.38/5.17 | (556) e3 = e1
% 19.38/5.17 |
% 19.38/5.17 | Equations (556) can reduce 163 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (167) ~ (all_0_13_13 = e1)
% 19.38/5.17 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 19.38/5.17 |
% 19.38/5.17 | Equations (347) can reduce 167 to:
% 19.38/5.17 | (163) ~ (e3 = e1)
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (939), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (282) all_0_17_17 = e2
% 19.38/5.17 |
% 19.38/5.17 | Combining equations (371,282) yields a new equation:
% 19.38/5.17 | (500) e2 = e0
% 19.38/5.17 |
% 19.38/5.17 | Equations (500) can reduce 29 to:
% 19.38/5.17 | (172) $false
% 19.38/5.17 |
% 19.38/5.17 |-The branch is then unsatisfiable
% 19.38/5.17 |-Branch two:
% 19.38/5.17 | (344) ~ (all_0_17_17 = e2)
% 19.38/5.17 | (510) all_0_21_21 = e2
% 19.38/5.17 |
% 19.38/5.17 | Equations (510) can reduce 7 to:
% 19.38/5.17 | (466) ~ (all_0_20_20 = e2)
% 19.38/5.17 |
% 19.38/5.17 +-Applying beta-rule and splitting (128), into two cases.
% 19.38/5.17 |-Branch one:
% 19.38/5.17 | (952) all_0_20_20 = e1
% 19.38/5.17 |
% 19.38/5.18 | Equations (952) can reduce 466 to:
% 19.38/5.18 | (924) ~ (e2 = e1)
% 19.38/5.18 |
% 19.38/5.18 | Simplifying 924 yields:
% 19.38/5.18 | (75) ~ (e2 = e1)
% 19.38/5.18 |
% 19.38/5.18 | Equations (952) can reduce 186 to:
% 19.38/5.18 | (157) ~ (e1 = e0)
% 19.38/5.18 |
% 19.38/5.18 +-Applying beta-rule and splitting (550), into two cases.
% 19.38/5.18 |-Branch one:
% 19.38/5.18 | (368) all_0_17_17 = e1
% 19.38/5.18 |
% 19.38/5.18 | Combining equations (371,368) yields a new equation:
% 19.38/5.18 | (543) e1 = e0
% 19.38/5.18 |
% 19.38/5.18 | Equations (543) can reduce 157 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (310) ~ (all_0_17_17 = e1)
% 19.38/5.18 | (554) all_0_21_21 = e1
% 19.38/5.18 |
% 19.38/5.18 | Combining equations (554,510) yields a new equation:
% 19.38/5.18 | (742) e2 = e1
% 19.38/5.18 |
% 19.38/5.18 | Equations (742) can reduce 75 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (963) ~ (all_0_20_20 = e1)
% 19.38/5.18 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 19.38/5.18 |
% 19.38/5.18 +-Applying beta-rule and splitting (964), into two cases.
% 19.38/5.18 |-Branch one:
% 19.38/5.18 | (554) all_0_21_21 = e1
% 19.38/5.18 |
% 19.38/5.18 | Combining equations (510,554) yields a new equation:
% 19.38/5.18 | (966) e2 = e1
% 19.38/5.18 |
% 19.38/5.18 | Simplifying 966 yields:
% 19.38/5.18 | (742) e2 = e1
% 19.38/5.18 |
% 19.38/5.18 | Equations (742) can reduce 75 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (969) ~ (all_0_21_21 = e1)
% 19.38/5.18 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 19.38/5.18 |
% 19.38/5.18 +-Applying beta-rule and splitting (970), into two cases.
% 19.38/5.18 |-Branch one:
% 19.38/5.18 | (864) all_0_22_22 = e1
% 19.38/5.18 |
% 19.38/5.18 | Combining equations (560,864) yields a new equation:
% 19.38/5.18 | (555) e3 = e1
% 19.38/5.18 |
% 19.38/5.18 | Simplifying 555 yields:
% 19.38/5.18 | (556) e3 = e1
% 19.38/5.18 |
% 19.38/5.18 | Equations (556) can reduce 163 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (975) ~ (all_0_22_22 = e1)
% 19.38/5.18 | (179) all_0_23_23 = e1
% 19.38/5.18 |
% 19.38/5.18 | Combining equations (182,179) yields a new equation:
% 19.38/5.18 | (543) e1 = e0
% 19.38/5.18 |
% 19.38/5.18 | Equations (543) can reduce 157 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (275) ~ (all_0_18_18 = e1)
% 19.38/5.18 | (458) all_0_19_19 = e1
% 19.38/5.18 |
% 19.38/5.18 | Equations (458) can reduce 312 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (536) ~ (all_0_15_15 = e1)
% 19.38/5.18 | (270) all_0_15_15 = e0
% 19.38/5.18 |
% 19.38/5.18 | Equations (270) can reduce 184 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (985) ~ (all_0_10_10 = e2)
% 19.38/5.18 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 19.38/5.18 |
% 19.38/5.18 +-Applying beta-rule and splitting (694), into two cases.
% 19.38/5.18 |-Branch one:
% 19.38/5.18 | (216) all_0_18_18 = e2
% 19.38/5.18 |
% 19.38/5.18 | Equations (216) can reduce 195 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (195) ~ (all_0_18_18 = e2)
% 19.38/5.18 | (342) all_0_19_19 = e2
% 19.38/5.18 |
% 19.38/5.18 | Equations (342) can reduce 43 to:
% 19.38/5.18 | (195) ~ (all_0_18_18 = e2)
% 19.38/5.18 |
% 19.38/5.18 | Equations (342) can reduce 317 to:
% 19.38/5.18 | (345) ~ (e3 = e2)
% 19.38/5.18 |
% 19.38/5.18 | Simplifying 345 yields:
% 19.38/5.18 | (111) ~ (e3 = e2)
% 19.38/5.18 |
% 19.38/5.18 | Equations (342) can reduce 185 to:
% 19.38/5.18 | (29) ~ (e2 = e0)
% 19.38/5.18 |
% 19.38/5.18 +-Applying beta-rule and splitting (986), into two cases.
% 19.38/5.18 |-Branch one:
% 19.38/5.18 | (522) all_0_14_14 = e2
% 19.38/5.18 |
% 19.38/5.18 | Combining equations (529,522) yields a new equation:
% 19.38/5.18 | (500) e2 = e0
% 19.38/5.18 |
% 19.38/5.18 | Equations (500) can reduce 29 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (521) ~ (all_0_14_14 = e2)
% 19.38/5.18 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 19.38/5.18 |
% 19.38/5.18 +-Applying beta-rule and splitting (999), into two cases.
% 19.38/5.18 |-Branch one:
% 19.38/5.18 | (216) all_0_18_18 = e2
% 19.38/5.18 |
% 19.38/5.18 | Equations (216) can reduce 195 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (195) ~ (all_0_18_18 = e2)
% 19.38/5.18 | (520) all_0_22_22 = e2
% 19.38/5.18 |
% 19.38/5.18 | Combining equations (520,560) yields a new equation:
% 19.38/5.18 | (352) e3 = e2
% 19.38/5.18 |
% 19.38/5.18 | Equations (352) can reduce 111 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (337) ~ (all_0_13_13 = e3)
% 19.38/5.18 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 19.38/5.18 |
% 19.38/5.18 +-Applying beta-rule and splitting (1007), into two cases.
% 19.38/5.18 |-Branch one:
% 19.38/5.18 | (516) all_0_14_14 = e3
% 19.38/5.18 |
% 19.38/5.18 | Combining equations (529,516) yields a new equation:
% 19.38/5.18 | (323) e3 = e0
% 19.38/5.18 |
% 19.38/5.18 | Equations (323) can reduce 3 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.18 |-Branch two:
% 19.38/5.18 | (308) ~ (all_0_14_14 = e3)
% 19.38/5.18 | (726) all_0_15_15 = e3
% 19.38/5.18 |
% 19.38/5.18 | Equations (726) can reduce 642 to:
% 19.38/5.18 | (172) $false
% 19.38/5.18 |
% 19.38/5.18 |-The branch is then unsatisfiable
% 19.38/5.19 |-Branch two:
% 19.38/5.19 | (208) ~ (all_0_16_16 = e3)
% 19.38/5.19 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (27), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (695) all_0_10_10 = e3
% 19.38/5.19 |
% 19.38/5.19 | Equations (695) can reduce 306 to:
% 19.38/5.19 | (172) $false
% 19.38/5.19 |
% 19.38/5.19 |-The branch is then unsatisfiable
% 19.38/5.19 |-Branch two:
% 19.38/5.19 | (306) ~ (all_0_10_10 = e3)
% 19.38/5.19 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (698), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (516) all_0_14_14 = e3
% 19.38/5.19 |
% 19.38/5.19 | Combining equations (529,516) yields a new equation:
% 19.38/5.19 | (323) e3 = e0
% 19.38/5.19 |
% 19.38/5.19 | Equations (323) can reduce 3 to:
% 19.38/5.19 | (172) $false
% 19.38/5.19 |
% 19.38/5.19 |-The branch is then unsatisfiable
% 19.38/5.19 |-Branch two:
% 19.38/5.19 | (308) ~ (all_0_14_14 = e3)
% 19.38/5.19 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 19.38/5.19 |
% 19.38/5.19 | Equations (529) can reduce 308 to:
% 19.38/5.19 | (189) ~ (e3 = e0)
% 19.38/5.19 |
% 19.38/5.19 | Simplifying 189 yields:
% 19.38/5.19 | (3) ~ (e3 = e0)
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (1015), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (360) all_0_17_17 = e3
% 19.38/5.19 |
% 19.38/5.19 | Combining equations (371,360) yields a new equation:
% 19.38/5.19 | (323) e3 = e0
% 19.38/5.19 |
% 19.38/5.19 | Equations (323) can reduce 3 to:
% 19.38/5.19 | (172) $false
% 19.38/5.19 |
% 19.38/5.19 |-The branch is then unsatisfiable
% 19.38/5.19 |-Branch two:
% 19.38/5.19 | (315) ~ (all_0_17_17 = e3)
% 19.38/5.19 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (1031), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (212) all_0_18_18 = e3
% 19.38/5.19 |
% 19.38/5.19 | Equations (212) can reduce 211 to:
% 19.38/5.19 | (172) $false
% 19.38/5.19 |
% 19.38/5.19 |-The branch is then unsatisfiable
% 19.38/5.19 |-Branch two:
% 19.38/5.19 | (211) ~ (all_0_18_18 = e3)
% 19.38/5.19 | (331) all_0_19_19 = e3
% 19.38/5.19 |
% 19.38/5.19 | Equations (331) can reduce 317 to:
% 19.38/5.19 | (172) $false
% 19.38/5.19 |
% 19.38/5.19 |-The branch is then unsatisfiable
% 19.38/5.19 |-Branch two:
% 19.38/5.19 | (212) all_0_18_18 = e3
% 19.38/5.19 | (305) all_0_16_16 = e1
% 19.38/5.19 |
% 19.38/5.19 | Equations (305) can reduce 138 to:
% 19.38/5.19 | (311) ~ (all_0_19_19 = e1)
% 19.38/5.19 |
% 19.38/5.19 | Simplifying 311 yields:
% 19.38/5.19 | (312) ~ (all_0_19_19 = e1)
% 19.38/5.19 |
% 19.38/5.19 | Equations (212) can reduce 43 to:
% 19.38/5.19 | (316) ~ (all_0_19_19 = e3)
% 19.38/5.19 |
% 19.38/5.19 | Simplifying 316 yields:
% 19.38/5.19 | (317) ~ (all_0_19_19 = e3)
% 19.38/5.19 |
% 19.38/5.19 | Equations (212) can reduce 197 to:
% 19.38/5.19 | (3) ~ (e3 = e0)
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (52), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (331) all_0_19_19 = e3
% 19.38/5.19 |
% 19.38/5.19 | Equations (331) can reduce 317 to:
% 19.38/5.19 | (172) $false
% 19.38/5.19 |
% 19.38/5.19 |-The branch is then unsatisfiable
% 19.38/5.19 |-Branch two:
% 19.38/5.19 | (317) ~ (all_0_19_19 = e3)
% 19.38/5.19 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (334), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (342) all_0_19_19 = e2
% 19.38/5.19 |
% 19.38/5.19 | Equations (342) can reduce 89 to:
% 19.38/5.19 | (725) ~ (all_0_15_15 = e2)
% 19.38/5.19 |
% 19.38/5.19 | Equations (342) can reduce 185 to:
% 19.38/5.19 | (29) ~ (e2 = e0)
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (139), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (726) all_0_15_15 = e3
% 19.38/5.19 |
% 19.38/5.19 | Equations (726) can reduce 642 to:
% 19.38/5.19 | (172) $false
% 19.38/5.19 |
% 19.38/5.19 |-The branch is then unsatisfiable
% 19.38/5.19 |-Branch two:
% 19.38/5.19 | (642) ~ (all_0_15_15 = e3)
% 19.38/5.19 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (729), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (752) all_0_15_15 = e2
% 19.38/5.19 |
% 19.38/5.19 | Equations (752) can reduce 725 to:
% 19.38/5.19 | (172) $false
% 19.38/5.19 |
% 19.38/5.19 |-The branch is then unsatisfiable
% 19.38/5.19 |-Branch two:
% 19.38/5.19 | (725) ~ (all_0_15_15 = e2)
% 19.38/5.19 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (755), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (490) all_0_15_15 = e1
% 19.38/5.19 |
% 19.38/5.19 | Equations (490) can reduce 135 to:
% 19.38/5.19 | (167) ~ (all_0_13_13 = e1)
% 19.38/5.19 |
% 19.38/5.19 | Equations (490) can reduce 642 to:
% 19.38/5.19 | (313) ~ (e3 = e1)
% 19.38/5.19 |
% 19.38/5.19 | Simplifying 313 yields:
% 19.38/5.19 | (163) ~ (e3 = e1)
% 19.38/5.19 |
% 19.38/5.19 | Equations (490) can reduce 184 to:
% 19.38/5.19 | (157) ~ (e1 = e0)
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (99), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.38/5.19 |
% 19.38/5.19 +-Applying beta-rule and splitting (223), into two cases.
% 19.38/5.19 |-Branch one:
% 19.38/5.19 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.19 |
% 19.71/5.19 +-Applying beta-rule and splitting (224), into two cases.
% 19.71/5.19 |-Branch one:
% 19.71/5.19 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.19 |
% 19.71/5.19 +-Applying beta-rule and splitting (225), into two cases.
% 19.71/5.19 |-Branch one:
% 19.71/5.19 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (226), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (227), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (228), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (229), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (230), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.20 |
% 19.71/5.20 | Applying alpha-rule on (231) yields:
% 19.71/5.20 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.20 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.20 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.20 | (235) all_0_9_9 = e2
% 19.71/5.20 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (233), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (770) ~ (all_0_16_16 = e1)
% 19.71/5.20 |
% 19.71/5.20 | Equations (305) can reduce 770 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (305) all_0_16_16 = e1
% 19.71/5.20 | (211) ~ (all_0_18_18 = e3)
% 19.71/5.20 |
% 19.71/5.20 | Equations (212) can reduce 211 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.20 |
% 19.71/5.20 | Applying alpha-rule on (238) yields:
% 19.71/5.20 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.20 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.20 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.20 | (242) all_0_10_10 = e1
% 19.71/5.20 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (233), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (770) ~ (all_0_16_16 = e1)
% 19.71/5.20 |
% 19.71/5.20 | Equations (305) can reduce 770 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (305) all_0_16_16 = e1
% 19.71/5.20 | (211) ~ (all_0_18_18 = e3)
% 19.71/5.20 |
% 19.71/5.20 | Equations (212) can reduce 211 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.20 |
% 19.71/5.20 | Applying alpha-rule on (245) yields:
% 19.71/5.20 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.20 | (247) all_0_11_11 = e0
% 19.71/5.20 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.20 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.20 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.20 |
% 19.71/5.20 | Combining equations (399,247) yields a new equation:
% 19.71/5.20 | (564) e3 = e0
% 19.71/5.20 |
% 19.71/5.20 | Simplifying 564 yields:
% 19.71/5.20 | (323) e3 = e0
% 19.71/5.20 |
% 19.71/5.20 | Equations (323) can reduce 3 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.20 |
% 19.71/5.20 | Applying alpha-rule on (252) yields:
% 19.71/5.20 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.20 | (254) all_0_12_12 = e3
% 19.71/5.20 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.20 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.20 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.20 |
% 19.71/5.20 | Equations (254) can reduce 93 to:
% 19.71/5.20 | (1109) ~ (all_0_13_13 = e3)
% 19.71/5.20 |
% 19.71/5.20 | Simplifying 1109 yields:
% 19.71/5.20 | (337) ~ (all_0_13_13 = e3)
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (102), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (347) all_0_13_13 = e3
% 19.71/5.20 |
% 19.71/5.20 | Equations (347) can reduce 337 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (337) ~ (all_0_13_13 = e3)
% 19.71/5.20 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (377), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (382) all_0_13_13 = e2
% 19.71/5.20 |
% 19.71/5.20 | Equations (382) can reduce 253 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.20 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.71/5.20 |
% 19.71/5.20 +-Applying beta-rule and splitting (443), into two cases.
% 19.71/5.20 |-Branch one:
% 19.71/5.20 | (444) all_0_13_13 = e1
% 19.71/5.20 |
% 19.71/5.20 | Equations (444) can reduce 167 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (167) ~ (all_0_13_13 = e1)
% 19.71/5.20 | (447) all_0_13_13 = e0
% 19.71/5.20 |
% 19.71/5.20 | Equations (447) can reduce 373 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.20 |
% 19.71/5.20 | Applying alpha-rule on (259) yields:
% 19.71/5.20 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.20 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.20 | (262) all_0_14_14 = e1
% 19.71/5.20 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.20 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.20 |
% 19.71/5.20 | Combining equations (262,529) yields a new equation:
% 19.71/5.20 | (542) e1 = e0
% 19.71/5.20 |
% 19.71/5.20 | Simplifying 542 yields:
% 19.71/5.20 | (543) e1 = e0
% 19.71/5.20 |
% 19.71/5.20 | Equations (543) can reduce 157 to:
% 19.71/5.20 | (172) $false
% 19.71/5.20 |
% 19.71/5.20 |-The branch is then unsatisfiable
% 19.71/5.20 |-Branch two:
% 19.71/5.20 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.20 |
% 19.71/5.20 | Applying alpha-rule on (266) yields:
% 19.71/5.20 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.21 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.21 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.21 | (270) all_0_15_15 = e0
% 19.71/5.21 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.21 |
% 19.71/5.21 | Combining equations (490,270) yields a new equation:
% 19.71/5.21 | (542) e1 = e0
% 19.71/5.21 |
% 19.71/5.21 | Simplifying 542 yields:
% 19.71/5.21 | (543) e1 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (543) can reduce 157 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.21 |
% 19.71/5.21 | Applying alpha-rule on (273) yields:
% 19.71/5.21 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.21 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.21 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.21 | (277) all_0_16_16 = e3
% 19.71/5.21 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.21 |
% 19.71/5.21 | Combining equations (305,277) yields a new equation:
% 19.71/5.21 | (556) e3 = e1
% 19.71/5.21 |
% 19.71/5.21 | Equations (556) can reduce 163 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.21 |
% 19.71/5.21 | Applying alpha-rule on (280) yields:
% 19.71/5.21 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.21 | (282) all_0_17_17 = e2
% 19.71/5.21 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.21 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.21 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.21 |
% 19.71/5.21 | Combining equations (371,282) yields a new equation:
% 19.71/5.21 | (500) e2 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (500) can reduce 29 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.21 |
% 19.71/5.21 | Applying alpha-rule on (287) yields:
% 19.71/5.21 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.21 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.21 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.21 | (291) all_0_19_19 = e0
% 19.71/5.21 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.21 |
% 19.71/5.21 | Combining equations (342,291) yields a new equation:
% 19.71/5.21 | (499) e2 = e0
% 19.71/5.21 |
% 19.71/5.21 | Simplifying 499 yields:
% 19.71/5.21 | (500) e2 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (500) can reduce 29 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 19.71/5.21 |
% 19.71/5.21 | Applying alpha-rule on (294) yields:
% 19.71/5.21 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 19.71/5.21 | (296) ~ (all_0_23_23 = e0)
% 19.71/5.21 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 19.71/5.21 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 19.71/5.21 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 19.71/5.21 |
% 19.71/5.21 | Equations (182) can reduce 296 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (536) ~ (all_0_15_15 = e1)
% 19.71/5.21 | (270) all_0_15_15 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (270) can reduce 184 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (456) ~ (all_0_19_19 = e2)
% 19.71/5.21 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 19.71/5.21 |
% 19.71/5.21 +-Applying beta-rule and splitting (457), into two cases.
% 19.71/5.21 |-Branch one:
% 19.71/5.21 | (458) all_0_19_19 = e1
% 19.71/5.21 |
% 19.71/5.21 | Equations (458) can reduce 312 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (312) ~ (all_0_19_19 = e1)
% 19.71/5.21 | (291) all_0_19_19 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (291) can reduce 185 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (1184) ~ (all_0_17_17 = e0)
% 19.71/5.21 | (1185) all_0_21_21 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (1185) can reduce 187 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (470) ~ (all_0_14_14 = e0)
% 19.71/5.21 | (572) all_0_18_18 = e0 | all_0_22_22 = e0
% 19.71/5.21 |
% 19.71/5.21 +-Applying beta-rule and splitting (653), into two cases.
% 19.71/5.21 |-Branch one:
% 19.71/5.21 | (371) all_0_17_17 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (371) can reduce 80 to:
% 19.71/5.21 | (673) ~ (all_0_18_18 = e0)
% 19.71/5.21 |
% 19.71/5.21 | Simplifying 673 yields:
% 19.71/5.21 | (197) ~ (all_0_18_18 = e0)
% 19.71/5.21 |
% 19.71/5.21 +-Applying beta-rule and splitting (572), into two cases.
% 19.71/5.21 |-Branch one:
% 19.71/5.21 | (302) all_0_18_18 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (302) can reduce 197 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (197) ~ (all_0_18_18 = e0)
% 19.71/5.21 | (583) all_0_22_22 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (583) can reduce 188 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (1184) ~ (all_0_17_17 = e0)
% 19.71/5.21 | (1198) all_0_18_18 = e0 | all_0_19_19 = e0
% 19.71/5.21 |
% 19.71/5.21 +-Applying beta-rule and splitting (1198), into two cases.
% 19.71/5.21 |-Branch one:
% 19.71/5.21 | (302) all_0_18_18 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (302) can reduce 197 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (197) ~ (all_0_18_18 = e0)
% 19.71/5.21 | (291) all_0_19_19 = e0
% 19.71/5.21 |
% 19.71/5.21 | Equations (291) can reduce 185 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (492) all_0_8_8 = e2
% 19.71/5.21 | (338) all_0_9_9 = e3
% 19.71/5.21 |
% 19.71/5.21 | Equations (492,338) can reduce 116 to:
% 19.71/5.21 | (345) ~ (e3 = e2)
% 19.71/5.21 |
% 19.71/5.21 | Simplifying 345 yields:
% 19.71/5.21 | (111) ~ (e3 = e2)
% 19.71/5.21 |
% 19.71/5.21 | Equations (492) can reduce 24 to:
% 19.71/5.21 | (1208) ~ (all_0_10_10 = e2)
% 19.71/5.21 |
% 19.71/5.21 | Simplifying 1208 yields:
% 19.71/5.21 | (985) ~ (all_0_10_10 = e2)
% 19.71/5.21 |
% 19.71/5.21 | Equations (492) can reduce 124 to:
% 19.71/5.21 | (1210) ~ (all_0_11_11 = e2)
% 19.71/5.21 |
% 19.71/5.21 | Simplifying 1210 yields:
% 19.71/5.21 | (343) ~ (all_0_11_11 = e2)
% 19.71/5.21 |
% 19.71/5.21 | Equations (492) can reduce 158 to:
% 19.71/5.21 | (1212) ~ (all_0_12_12 = e2)
% 19.71/5.21 |
% 19.71/5.21 | Simplifying 1212 yields:
% 19.71/5.21 | (336) ~ (all_0_12_12 = e2)
% 19.71/5.21 |
% 19.71/5.21 | Equations (338) can reduce 166 to:
% 19.71/5.21 | (1214) ~ (all_0_10_10 = e3)
% 19.71/5.21 |
% 19.71/5.21 | Simplifying 1214 yields:
% 19.71/5.21 | (306) ~ (all_0_10_10 = e3)
% 19.71/5.21 |
% 19.71/5.21 | Equations (338) can reduce 54 to:
% 19.71/5.21 | (203) ~ (all_0_11_11 = e3)
% 19.71/5.21 |
% 19.71/5.21 | Simplifying 203 yields:
% 19.71/5.21 | (204) ~ (all_0_11_11 = e3)
% 19.71/5.21 |
% 19.71/5.21 +-Applying beta-rule and splitting (95), into two cases.
% 19.71/5.21 |-Branch one:
% 19.71/5.21 | (399) all_0_11_11 = e3
% 19.71/5.21 |
% 19.71/5.21 | Equations (399) can reduce 204 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (204) ~ (all_0_11_11 = e3)
% 19.71/5.21 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 19.71/5.21 |
% 19.71/5.21 +-Applying beta-rule and splitting (402), into two cases.
% 19.71/5.21 |-Branch one:
% 19.71/5.21 | (414) all_0_11_11 = e2
% 19.71/5.21 |
% 19.71/5.21 | Equations (414) can reduce 343 to:
% 19.71/5.21 | (172) $false
% 19.71/5.21 |
% 19.71/5.21 |-The branch is then unsatisfiable
% 19.71/5.21 |-Branch two:
% 19.71/5.21 | (343) ~ (all_0_11_11 = e2)
% 19.71/5.22 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (417), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (418) all_0_11_11 = e1
% 19.71/5.22 |
% 19.71/5.22 | Equations (418) can reduce 23 to:
% 19.71/5.22 | (221) ~ (all_0_10_10 = e1)
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (50), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (695) all_0_10_10 = e3
% 19.71/5.22 |
% 19.71/5.22 | Equations (695) can reduce 306 to:
% 19.71/5.22 | (172) $false
% 19.71/5.22 |
% 19.71/5.22 |-The branch is then unsatisfiable
% 19.71/5.22 |-Branch two:
% 19.71/5.22 | (306) ~ (all_0_10_10 = e3)
% 19.71/5.22 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (1231), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (730) all_0_10_10 = e2
% 19.71/5.22 |
% 19.71/5.22 | Equations (730) can reduce 985 to:
% 19.71/5.22 | (172) $false
% 19.71/5.22 |
% 19.71/5.22 |-The branch is then unsatisfiable
% 19.71/5.22 |-Branch two:
% 19.71/5.22 | (985) ~ (all_0_10_10 = e2)
% 19.71/5.22 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (1235), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (242) all_0_10_10 = e1
% 19.71/5.22 |
% 19.71/5.22 | Equations (242) can reduce 221 to:
% 19.71/5.22 | (172) $false
% 19.71/5.22 |
% 19.71/5.22 |-The branch is then unsatisfiable
% 19.71/5.22 |-Branch two:
% 19.71/5.22 | (221) ~ (all_0_10_10 = e1)
% 19.71/5.22 | (395) all_0_10_10 = e0
% 19.71/5.22 |
% 19.71/5.22 | Equations (395) can reduce 51 to:
% 19.71/5.22 | (673) ~ (all_0_18_18 = e0)
% 19.71/5.22 |
% 19.71/5.22 | Simplifying 673 yields:
% 19.71/5.22 | (197) ~ (all_0_18_18 = e0)
% 19.71/5.22 |
% 19.71/5.22 | Equations (395) can reduce 985 to:
% 19.71/5.22 | (191) ~ (e2 = e0)
% 19.71/5.22 |
% 19.71/5.22 | Simplifying 191 yields:
% 19.71/5.22 | (29) ~ (e2 = e0)
% 19.71/5.22 |
% 19.71/5.22 | Equations (395) can reduce 221 to:
% 19.71/5.22 | (193) ~ (e1 = e0)
% 19.71/5.22 |
% 19.71/5.22 | Simplifying 193 yields:
% 19.71/5.22 | (157) ~ (e1 = e0)
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (127), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (211) ~ (all_0_18_18 = e3)
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (33), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (212) all_0_18_18 = e3
% 19.71/5.22 |
% 19.71/5.22 | Equations (212) can reduce 211 to:
% 19.71/5.22 | (172) $false
% 19.71/5.22 |
% 19.71/5.22 |-The branch is then unsatisfiable
% 19.71/5.22 |-Branch two:
% 19.71/5.22 | (211) ~ (all_0_18_18 = e3)
% 19.71/5.22 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (215), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (216) all_0_18_18 = e2
% 19.71/5.22 |
% 19.71/5.22 | Equations (216) can reduce 195 to:
% 19.71/5.22 | (172) $false
% 19.71/5.22 |
% 19.71/5.22 |-The branch is then unsatisfiable
% 19.71/5.22 |-Branch two:
% 19.71/5.22 | (195) ~ (all_0_18_18 = e2)
% 19.71/5.22 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (219), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (220) all_0_18_18 = e1
% 19.71/5.22 |
% 19.71/5.22 | Equations (220) can reduce 81 to:
% 19.71/5.22 | (222) ~ (all_0_14_14 = e1)
% 19.71/5.22 |
% 19.71/5.22 | Equations (220) can reduce 197 to:
% 19.71/5.22 | (157) ~ (e1 = e0)
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (99), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (223), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (224), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (225), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (226), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (227), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (228), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.71/5.22 |
% 19.71/5.22 +-Applying beta-rule and splitting (229), into two cases.
% 19.71/5.22 |-Branch one:
% 19.71/5.22 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.71/5.23 |
% 19.71/5.23 +-Applying beta-rule and splitting (230), into two cases.
% 19.71/5.23 |-Branch one:
% 19.71/5.23 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (231) yields:
% 19.71/5.23 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.23 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.23 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.23 | (235) all_0_9_9 = e2
% 19.71/5.23 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.23 |
% 19.71/5.23 | Combining equations (338,235) yields a new equation:
% 19.71/5.23 | (511) e3 = e2
% 19.71/5.23 |
% 19.71/5.23 | Simplifying 511 yields:
% 19.71/5.23 | (352) e3 = e2
% 19.71/5.23 |
% 19.71/5.23 | Equations (352) can reduce 111 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (238) yields:
% 19.71/5.23 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.23 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.23 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.23 | (242) all_0_10_10 = e1
% 19.71/5.23 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.23 |
% 19.71/5.23 | Combining equations (395,242) yields a new equation:
% 19.71/5.23 | (543) e1 = e0
% 19.71/5.23 |
% 19.71/5.23 | Equations (543) can reduce 157 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (245) yields:
% 19.71/5.23 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.23 | (247) all_0_11_11 = e0
% 19.71/5.23 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.23 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.23 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.23 |
% 19.71/5.23 | Combining equations (247,418) yields a new equation:
% 19.71/5.23 | (543) e1 = e0
% 19.71/5.23 |
% 19.71/5.23 | Equations (543) can reduce 157 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (252) yields:
% 19.71/5.23 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.23 | (254) all_0_12_12 = e3
% 19.71/5.23 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.23 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.23 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.23 |
% 19.71/5.23 +-Applying beta-rule and splitting (256), into two cases.
% 19.71/5.23 |-Branch one:
% 19.71/5.23 | (198) ~ (all_0_8_8 = e2)
% 19.71/5.23 |
% 19.71/5.23 | Equations (492) can reduce 198 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (492) all_0_8_8 = e2
% 19.71/5.23 | (202) ~ (all_0_9_9 = e3)
% 19.71/5.23 |
% 19.71/5.23 | Equations (338) can reduce 202 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (259) yields:
% 19.71/5.23 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.23 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.23 | (262) all_0_14_14 = e1
% 19.71/5.23 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.23 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.23 |
% 19.71/5.23 | Equations (262) can reduce 222 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (266) yields:
% 19.71/5.23 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.23 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.23 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.23 | (270) all_0_15_15 = e0
% 19.71/5.23 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.23 |
% 19.71/5.23 | Equations (270) can reduce 184 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (273) yields:
% 19.71/5.23 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.23 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.23 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.23 | (277) all_0_16_16 = e3
% 19.71/5.23 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.23 |
% 19.71/5.23 | Equations (220) can reduce 275 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (280) yields:
% 19.71/5.23 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.23 | (282) all_0_17_17 = e2
% 19.71/5.23 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.23 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.23 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.23 |
% 19.71/5.23 | Equations (220) can reduce 275 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (287) yields:
% 19.71/5.23 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.23 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.23 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.23 | (291) all_0_19_19 = e0
% 19.71/5.23 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.23 |
% 19.71/5.23 | Equations (291) can reduce 185 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 19.71/5.23 |
% 19.71/5.23 | Applying alpha-rule on (294) yields:
% 19.71/5.23 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 19.71/5.23 | (296) ~ (all_0_23_23 = e0)
% 19.71/5.23 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 19.71/5.23 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 19.71/5.23 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 19.71/5.23 |
% 19.71/5.23 | Equations (182) can reduce 296 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.23 | (302) all_0_18_18 = e0
% 19.71/5.23 |
% 19.71/5.23 | Equations (302) can reduce 197 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (212) all_0_18_18 = e3
% 19.71/5.23 | (305) all_0_16_16 = e1
% 19.71/5.23 |
% 19.71/5.23 | Equations (305) can reduce 45 to:
% 19.71/5.23 | (307) ~ (all_0_12_12 = e1)
% 19.71/5.23 |
% 19.71/5.23 | Equations (305,212) can reduce 28 to:
% 19.71/5.23 | (313) ~ (e3 = e1)
% 19.71/5.23 |
% 19.71/5.23 | Simplifying 313 yields:
% 19.71/5.23 | (163) ~ (e3 = e1)
% 19.71/5.23 |
% 19.71/5.23 | Equations (212) can reduce 195 to:
% 19.71/5.23 | (111) ~ (e3 = e2)
% 19.71/5.23 |
% 19.71/5.23 | Equations (212) can reduce 197 to:
% 19.71/5.23 | (3) ~ (e3 = e0)
% 19.71/5.23 |
% 19.71/5.23 +-Applying beta-rule and splitting (65), into two cases.
% 19.71/5.23 |-Branch one:
% 19.71/5.23 | (399) all_0_11_11 = e3
% 19.71/5.23 |
% 19.71/5.23 | Combining equations (418,399) yields a new equation:
% 19.71/5.23 | (556) e3 = e1
% 19.71/5.23 |
% 19.71/5.23 | Equations (556) can reduce 163 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (204) ~ (all_0_11_11 = e3)
% 19.71/5.23 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 19.71/5.23 |
% 19.71/5.23 | Equations (418) can reduce 204 to:
% 19.71/5.23 | (313) ~ (e3 = e1)
% 19.71/5.23 |
% 19.71/5.23 | Simplifying 313 yields:
% 19.71/5.23 | (163) ~ (e3 = e1)
% 19.71/5.23 |
% 19.71/5.23 +-Applying beta-rule and splitting (21), into two cases.
% 19.71/5.23 |-Branch one:
% 19.71/5.23 | (411) all_0_9_9 = e1
% 19.71/5.23 |
% 19.71/5.23 | Combining equations (338,411) yields a new equation:
% 19.71/5.23 | (555) e3 = e1
% 19.71/5.23 |
% 19.71/5.23 | Simplifying 555 yields:
% 19.71/5.23 | (556) e3 = e1
% 19.71/5.23 |
% 19.71/5.23 | Equations (556) can reduce 163 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (423) ~ (all_0_9_9 = e1)
% 19.71/5.23 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.71/5.23 |
% 19.71/5.23 | Equations (338) can reduce 423 to:
% 19.71/5.23 | (163) ~ (e3 = e1)
% 19.71/5.23 |
% 19.71/5.23 +-Applying beta-rule and splitting (91), into two cases.
% 19.71/5.23 |-Branch one:
% 19.71/5.23 | (322) all_0_8_8 = e0
% 19.71/5.23 |
% 19.71/5.23 | Combining equations (322,492) yields a new equation:
% 19.71/5.23 | (500) e2 = e0
% 19.71/5.23 |
% 19.71/5.23 | Equations (500) can reduce 29 to:
% 19.71/5.23 | (172) $false
% 19.71/5.23 |
% 19.71/5.23 |-The branch is then unsatisfiable
% 19.71/5.23 |-Branch two:
% 19.71/5.23 | (199) ~ (all_0_8_8 = e0)
% 19.71/5.23 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 19.71/5.23 |
% 19.71/5.23 +-Applying beta-rule and splitting (326), into two cases.
% 19.71/5.23 |-Branch one:
% 19.71/5.23 | (392) all_0_12_12 = e0
% 19.71/5.23 |
% 19.71/5.23 | Equations (392) can reduce 93 to:
% 19.71/5.24 | (1374) ~ (all_0_13_13 = e0)
% 19.71/5.24 |
% 19.71/5.24 | Simplifying 1374 yields:
% 19.71/5.24 | (373) ~ (all_0_13_13 = e0)
% 19.71/5.24 |
% 19.71/5.24 | Equations (392) can reduce 30 to:
% 19.71/5.24 | (657) ~ (all_0_15_15 = e0)
% 19.71/5.24 |
% 19.71/5.24 | Simplifying 657 yields:
% 19.71/5.24 | (184) ~ (all_0_15_15 = e0)
% 19.71/5.24 |
% 19.71/5.24 | Equations (392) can reduce 336 to:
% 19.71/5.24 | (191) ~ (e2 = e0)
% 19.71/5.24 |
% 19.71/5.24 | Simplifying 191 yields:
% 19.71/5.24 | (29) ~ (e2 = e0)
% 19.71/5.24 |
% 19.71/5.24 | Equations (392) can reduce 307 to:
% 19.71/5.24 | (193) ~ (e1 = e0)
% 19.71/5.24 |
% 19.71/5.24 | Simplifying 193 yields:
% 19.71/5.24 | (157) ~ (e1 = e0)
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (117), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (608) all_0_16_16 = e0
% 19.71/5.24 |
% 19.71/5.24 | Combining equations (608,305) yields a new equation:
% 19.71/5.24 | (543) e1 = e0
% 19.71/5.24 |
% 19.71/5.24 | Equations (543) can reduce 157 to:
% 19.71/5.24 | (172) $false
% 19.71/5.24 |
% 19.71/5.24 |-The branch is then unsatisfiable
% 19.71/5.24 |-Branch two:
% 19.71/5.24 | (612) ~ (all_0_16_16 = e0)
% 19.71/5.24 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 19.71/5.24 |
% 19.71/5.24 | Equations (305) can reduce 612 to:
% 19.71/5.24 | (157) ~ (e1 = e0)
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (165), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (254) all_0_12_12 = e3
% 19.71/5.24 |
% 19.71/5.24 | Combining equations (392,254) yields a new equation:
% 19.71/5.24 | (323) e3 = e0
% 19.71/5.24 |
% 19.71/5.24 | Equations (323) can reduce 3 to:
% 19.71/5.24 | (172) $false
% 19.71/5.24 |
% 19.71/5.24 |-The branch is then unsatisfiable
% 19.71/5.24 |-Branch two:
% 19.71/5.24 | (206) ~ (all_0_12_12 = e3)
% 19.71/5.24 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 19.71/5.24 |
% 19.71/5.24 | Equations (392) can reduce 206 to:
% 19.71/5.24 | (189) ~ (e3 = e0)
% 19.71/5.24 |
% 19.71/5.24 | Simplifying 189 yields:
% 19.71/5.24 | (3) ~ (e3 = e0)
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (148), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (389) all_0_12_12 = e1
% 19.71/5.24 |
% 19.71/5.24 | Combining equations (392,389) yields a new equation:
% 19.71/5.24 | (543) e1 = e0
% 19.71/5.24 |
% 19.71/5.24 | Equations (543) can reduce 157 to:
% 19.71/5.24 | (172) $false
% 19.71/5.24 |
% 19.71/5.24 |-The branch is then unsatisfiable
% 19.71/5.24 |-Branch two:
% 19.71/5.24 | (307) ~ (all_0_12_12 = e1)
% 19.71/5.24 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 19.71/5.24 |
% 19.71/5.24 | Equations (392) can reduce 307 to:
% 19.71/5.24 | (193) ~ (e1 = e0)
% 19.71/5.24 |
% 19.71/5.24 | Simplifying 193 yields:
% 19.71/5.24 | (157) ~ (e1 = e0)
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (34), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (424) all_0_9_9 = e0
% 19.71/5.24 |
% 19.71/5.24 | Combining equations (338,424) yields a new equation:
% 19.71/5.24 | (564) e3 = e0
% 19.71/5.24 |
% 19.71/5.24 | Simplifying 564 yields:
% 19.71/5.24 | (323) e3 = e0
% 19.71/5.24 |
% 19.71/5.24 | Equations (323) can reduce 3 to:
% 19.71/5.24 | (172) $false
% 19.71/5.24 |
% 19.71/5.24 |-The branch is then unsatisfiable
% 19.71/5.24 |-Branch two:
% 19.71/5.24 | (372) ~ (all_0_9_9 = e0)
% 19.71/5.24 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 19.71/5.24 |
% 19.71/5.24 | Equations (338) can reduce 372 to:
% 19.71/5.24 | (3) ~ (e3 = e0)
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (99), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (223), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (224), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (225), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (226), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (227), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (228), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.71/5.24 |
% 19.71/5.24 +-Applying beta-rule and splitting (229), into two cases.
% 19.71/5.24 |-Branch one:
% 19.71/5.24 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.71/5.25 |
% 19.71/5.25 +-Applying beta-rule and splitting (230), into two cases.
% 19.71/5.25 |-Branch one:
% 19.71/5.25 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (231) yields:
% 19.71/5.25 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.25 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.25 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.25 | (235) all_0_9_9 = e2
% 19.71/5.25 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.25 |
% 19.71/5.25 | Combining equations (338,235) yields a new equation:
% 19.71/5.25 | (511) e3 = e2
% 19.71/5.25 |
% 19.71/5.25 | Simplifying 511 yields:
% 19.71/5.25 | (352) e3 = e2
% 19.71/5.25 |
% 19.71/5.25 | Equations (352) can reduce 111 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (238) yields:
% 19.71/5.25 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.25 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.25 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.25 | (242) all_0_10_10 = e1
% 19.71/5.25 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.25 |
% 19.71/5.25 | Combining equations (242,395) yields a new equation:
% 19.71/5.25 | (542) e1 = e0
% 19.71/5.25 |
% 19.71/5.25 | Simplifying 542 yields:
% 19.71/5.25 | (543) e1 = e0
% 19.71/5.25 |
% 19.71/5.25 | Equations (543) can reduce 157 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (245) yields:
% 19.71/5.25 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.25 | (247) all_0_11_11 = e0
% 19.71/5.25 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.25 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.25 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.25 |
% 19.71/5.25 | Combining equations (418,247) yields a new equation:
% 19.71/5.25 | (542) e1 = e0
% 19.71/5.25 |
% 19.71/5.25 | Simplifying 542 yields:
% 19.71/5.25 | (543) e1 = e0
% 19.71/5.25 |
% 19.71/5.25 | Equations (543) can reduce 157 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (252) yields:
% 19.71/5.25 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.25 | (254) all_0_12_12 = e3
% 19.71/5.25 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.25 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.25 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.25 |
% 19.71/5.25 | Combining equations (392,254) yields a new equation:
% 19.71/5.25 | (323) e3 = e0
% 19.71/5.25 |
% 19.71/5.25 | Equations (323) can reduce 3 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (259) yields:
% 19.71/5.25 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.25 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.25 | (262) all_0_14_14 = e1
% 19.71/5.25 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.25 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.25 |
% 19.71/5.25 +-Applying beta-rule and splitting (256), into two cases.
% 19.71/5.25 |-Branch one:
% 19.71/5.25 | (198) ~ (all_0_8_8 = e2)
% 19.71/5.25 |
% 19.71/5.25 | Equations (492) can reduce 198 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (492) all_0_8_8 = e2
% 19.71/5.25 | (202) ~ (all_0_9_9 = e3)
% 19.71/5.25 |
% 19.71/5.25 | Equations (338) can reduce 202 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (266) yields:
% 19.71/5.25 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.25 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.25 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.25 | (270) all_0_15_15 = e0
% 19.71/5.25 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.25 |
% 19.71/5.25 | Equations (270) can reduce 184 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (273) yields:
% 19.71/5.25 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.25 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.25 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.25 | (277) all_0_16_16 = e3
% 19.71/5.25 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.25 |
% 19.71/5.25 | Combining equations (277,305) yields a new equation:
% 19.71/5.25 | (555) e3 = e1
% 19.71/5.25 |
% 19.71/5.25 | Simplifying 555 yields:
% 19.71/5.25 | (556) e3 = e1
% 19.71/5.25 |
% 19.71/5.25 | Equations (556) can reduce 163 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (280) yields:
% 19.71/5.25 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.25 | (282) all_0_17_17 = e2
% 19.71/5.25 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.25 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.25 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.25 |
% 19.71/5.25 +-Applying beta-rule and splitting (664), into two cases.
% 19.71/5.25 |-Branch one:
% 19.71/5.25 | (447) all_0_13_13 = e0
% 19.71/5.25 |
% 19.71/5.25 | Equations (447) can reduce 373 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (373) ~ (all_0_13_13 = e0)
% 19.71/5.25 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 19.71/5.25 |
% 19.71/5.25 +-Applying beta-rule and splitting (668), into two cases.
% 19.71/5.25 |-Branch one:
% 19.71/5.25 | (371) all_0_17_17 = e0
% 19.71/5.25 |
% 19.71/5.25 | Combining equations (371,282) yields a new equation:
% 19.71/5.25 | (500) e2 = e0
% 19.71/5.25 |
% 19.71/5.25 | Equations (500) can reduce 29 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (1184) ~ (all_0_17_17 = e0)
% 19.71/5.25 | (1185) all_0_21_21 = e0
% 19.71/5.25 |
% 19.71/5.25 | Equations (1185) can reduce 187 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (287) yields:
% 19.71/5.25 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.25 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.25 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.25 | (291) all_0_19_19 = e0
% 19.71/5.25 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.25 |
% 19.71/5.25 | Equations (291) can reduce 185 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 19.71/5.25 |
% 19.71/5.25 | Applying alpha-rule on (294) yields:
% 19.71/5.25 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 19.71/5.25 | (296) ~ (all_0_23_23 = e0)
% 19.71/5.25 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 19.71/5.25 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 19.71/5.25 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 19.71/5.25 |
% 19.71/5.25 | Equations (182) can reduce 296 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (606) ~ (all_0_12_12 = e0)
% 19.71/5.25 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 19.71/5.25 |
% 19.71/5.25 +-Applying beta-rule and splitting (607), into two cases.
% 19.71/5.25 |-Branch one:
% 19.71/5.25 | (608) all_0_16_16 = e0
% 19.71/5.25 |
% 19.71/5.25 | Combining equations (305,608) yields a new equation:
% 19.71/5.25 | (542) e1 = e0
% 19.71/5.25 |
% 19.71/5.25 | Simplifying 542 yields:
% 19.71/5.25 | (543) e1 = e0
% 19.71/5.25 |
% 19.71/5.25 | Equations (543) can reduce 157 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (612) ~ (all_0_16_16 = e0)
% 19.71/5.25 | (613) all_0_20_20 = e0
% 19.71/5.25 |
% 19.71/5.25 | Equations (613) can reduce 186 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.25 |-Branch two:
% 19.71/5.25 | (413) ~ (all_0_11_11 = e1)
% 19.71/5.25 | (247) all_0_11_11 = e0
% 19.71/5.25 |
% 19.71/5.25 | Equations (247) can reduce 183 to:
% 19.71/5.25 | (172) $false
% 19.71/5.25 |
% 19.71/5.25 |-The branch is then unsatisfiable
% 19.71/5.26 |-Branch two:
% 19.71/5.26 | (302) all_0_18_18 = e0
% 19.71/5.26 | (458) all_0_19_19 = e1
% 19.71/5.26 |
% 19.71/5.26 | Equations (302) can reduce 51 to:
% 19.71/5.26 | (426) ~ (all_0_10_10 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Equations (458) can reduce 132 to:
% 19.71/5.26 | (413) ~ (all_0_11_11 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Equations (302) can reduce 81 to:
% 19.71/5.26 | (470) ~ (all_0_14_14 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Equations (458) can reduce 89 to:
% 19.71/5.26 | (536) ~ (all_0_15_15 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Equations (458) can reduce 138 to:
% 19.71/5.26 | (770) ~ (all_0_16_16 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Equations (458) can reduce 10 to:
% 19.71/5.26 | (310) ~ (all_0_17_17 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Equations (302) can reduce 119 to:
% 19.71/5.26 | (659) ~ (all_0_22_22 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 659 yields:
% 19.71/5.26 | (188) ~ (all_0_22_22 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Equations (302) can reduce 195 to:
% 19.71/5.26 | (191) ~ (e2 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 191 yields:
% 19.71/5.26 | (29) ~ (e2 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Equations (458) can reduce 185 to:
% 19.71/5.26 | (157) ~ (e1 = e0)
% 19.71/5.26 |
% 19.71/5.26 | From (302) and (115) follows:
% 19.71/5.26 | (1534) op(e0, e1) = all_0_3_3
% 19.71/5.26 |
% 19.71/5.26 | From (302) and (110) follows:
% 19.71/5.26 | (1535) op(e1, e1) = e0
% 19.71/5.26 |
% 19.71/5.26 | Instantiating formula (152) with e0, e1, all_0_3_3, all_0_22_22 and discharging atoms op(e0, e1) = all_0_3_3, op(e0, e1) = all_0_22_22, yields:
% 19.71/5.26 | (1536) all_0_3_3 = all_0_22_22
% 19.71/5.26 |
% 19.71/5.26 | From (1536) and (18) follows:
% 19.71/5.26 | (1537) op(all_0_22_22, e1) = all_0_2_2
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (64), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (199) ~ (all_0_8_8 = e0)
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (63), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (322) all_0_8_8 = e0
% 19.71/5.26 |
% 19.71/5.26 | Equations (322) can reduce 199 to:
% 19.71/5.26 | (172) $false
% 19.71/5.26 |
% 19.71/5.26 |-The branch is then unsatisfiable
% 19.71/5.26 |-Branch two:
% 19.71/5.26 | (199) ~ (all_0_8_8 = e0)
% 19.71/5.26 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (432), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (424) all_0_9_9 = e0
% 19.71/5.26 |
% 19.71/5.26 | Equations (424) can reduce 116 to:
% 19.71/5.26 | (199) ~ (all_0_8_8 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Equations (424) can reduce 54 to:
% 19.71/5.26 | (397) ~ (all_0_11_11 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 397 yields:
% 19.71/5.26 | (183) ~ (all_0_11_11 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Equations (424) can reduce 74 to:
% 19.71/5.26 | (1547) ~ (all_0_21_21 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 1547 yields:
% 19.71/5.26 | (187) ~ (all_0_21_21 = e0)
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (73), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (198) ~ (all_0_8_8 = e2)
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (47), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (621) all_0_8_8 = e1
% 19.71/5.26 |
% 19.71/5.26 | Equations (621) can reduce 196 to:
% 19.71/5.26 | (172) $false
% 19.71/5.26 |
% 19.71/5.26 |-The branch is then unsatisfiable
% 19.71/5.26 |-Branch two:
% 19.71/5.26 | (196) ~ (all_0_8_8 = e1)
% 19.71/5.26 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (751), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (411) all_0_9_9 = e1
% 19.71/5.26 |
% 19.71/5.26 | Combining equations (411,424) yields a new equation:
% 19.71/5.26 | (542) e1 = e0
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 542 yields:
% 19.71/5.26 | (543) e1 = e0
% 19.71/5.26 |
% 19.71/5.26 | Equations (543) can reduce 157 to:
% 19.71/5.26 | (172) $false
% 19.71/5.26 |
% 19.71/5.26 |-The branch is then unsatisfiable
% 19.71/5.26 |-Branch two:
% 19.71/5.26 | (423) ~ (all_0_9_9 = e1)
% 19.71/5.26 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 19.71/5.26 |
% 19.71/5.26 | Equations (424) can reduce 423 to:
% 19.71/5.26 | (193) ~ (e1 = e0)
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 193 yields:
% 19.71/5.26 | (157) ~ (e1 = e0)
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (21), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (411) all_0_9_9 = e1
% 19.71/5.26 |
% 19.71/5.26 | Combining equations (411,424) yields a new equation:
% 19.71/5.26 | (542) e1 = e0
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 542 yields:
% 19.71/5.26 | (543) e1 = e0
% 19.71/5.26 |
% 19.71/5.26 | Equations (543) can reduce 157 to:
% 19.71/5.26 | (172) $false
% 19.71/5.26 |
% 19.71/5.26 |-The branch is then unsatisfiable
% 19.71/5.26 |-Branch two:
% 19.71/5.26 | (423) ~ (all_0_9_9 = e1)
% 19.71/5.26 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (546), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (444) all_0_13_13 = e1
% 19.71/5.26 |
% 19.71/5.26 | Equations (444) can reduce 167 to:
% 19.71/5.26 | (172) $false
% 19.71/5.26 |
% 19.71/5.26 |-The branch is then unsatisfiable
% 19.71/5.26 |-Branch two:
% 19.71/5.26 | (167) ~ (all_0_13_13 = e1)
% 19.71/5.26 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (900), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (242) all_0_10_10 = e1
% 19.71/5.26 |
% 19.71/5.26 | Equations (242) can reduce 40 to:
% 19.71/5.26 | (1573) ~ (all_0_14_14 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 1573 yields:
% 19.71/5.26 | (222) ~ (all_0_14_14 = e1)
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (550), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (368) all_0_17_17 = e1
% 19.71/5.26 |
% 19.71/5.26 | Equations (368) can reduce 310 to:
% 19.71/5.26 | (172) $false
% 19.71/5.26 |
% 19.71/5.26 |-The branch is then unsatisfiable
% 19.71/5.26 |-Branch two:
% 19.71/5.26 | (310) ~ (all_0_17_17 = e1)
% 19.71/5.26 | (554) all_0_21_21 = e1
% 19.71/5.26 |
% 19.71/5.26 | Equations (554) can reduce 104 to:
% 19.71/5.26 | (167) ~ (all_0_13_13 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Equations (554) can reduce 76 to:
% 19.71/5.26 | (310) ~ (all_0_17_17 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Equations (554) can reduce 187 to:
% 19.71/5.26 | (157) ~ (e1 = e0)
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (148), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (389) all_0_12_12 = e1
% 19.71/5.26 |
% 19.71/5.26 | Equations (389) can reduce 158 to:
% 19.71/5.26 | (196) ~ (all_0_8_8 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Equations (389) can reduce 60 to:
% 19.71/5.26 | (1573) ~ (all_0_14_14 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 1573 yields:
% 19.71/5.26 | (222) ~ (all_0_14_14 = e1)
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (26), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (200) all_0_8_8 = e3
% 19.71/5.26 |
% 19.71/5.26 | Equations (200) can reduce 121 to:
% 19.71/5.26 | (207) ~ (all_0_16_16 = e3)
% 19.71/5.26 |
% 19.71/5.26 | Simplifying 207 yields:
% 19.71/5.26 | (208) ~ (all_0_16_16 = e3)
% 19.71/5.26 |
% 19.71/5.26 | Equations (200) can reduce 198 to:
% 19.71/5.26 | (111) ~ (e3 = e2)
% 19.71/5.26 |
% 19.71/5.26 | Equations (200) can reduce 196 to:
% 19.71/5.26 | (163) ~ (e3 = e1)
% 19.71/5.26 |
% 19.71/5.26 | Equations (200) can reduce 199 to:
% 19.71/5.26 | (3) ~ (e3 = e0)
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (99), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (223), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.26 |
% 19.71/5.26 +-Applying beta-rule and splitting (224), into two cases.
% 19.71/5.26 |-Branch one:
% 19.71/5.26 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (225), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (226), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (227), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (228), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (229), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (230), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.27 |
% 19.71/5.27 | Applying alpha-rule on (231) yields:
% 19.71/5.27 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.27 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.27 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.27 | (235) all_0_9_9 = e2
% 19.71/5.27 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.27 |
% 19.71/5.27 | Combining equations (424,235) yields a new equation:
% 19.71/5.27 | (500) e2 = e0
% 19.71/5.27 |
% 19.71/5.27 | Equations (500) can reduce 29 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.27 |
% 19.71/5.27 | Applying alpha-rule on (238) yields:
% 19.71/5.27 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.27 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.27 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.27 | (242) all_0_10_10 = e1
% 19.71/5.27 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.27 |
% 19.71/5.27 | Equations (200) can reduce 232 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 19.71/5.27 |
% 19.71/5.27 | Applying alpha-rule on (245) yields:
% 19.71/5.27 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.27 | (247) all_0_11_11 = e0
% 19.71/5.27 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 19.71/5.27 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 19.71/5.27 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 19.71/5.27 |
% 19.71/5.27 | Equations (247) can reduce 183 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.27 |
% 19.71/5.27 | Applying alpha-rule on (252) yields:
% 19.71/5.27 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.27 | (254) all_0_12_12 = e3
% 19.71/5.27 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.27 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.27 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.27 |
% 19.71/5.27 | Combining equations (389,254) yields a new equation:
% 19.71/5.27 | (556) e3 = e1
% 19.71/5.27 |
% 19.71/5.27 | Equations (556) can reduce 163 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.27 |
% 19.71/5.27 | Applying alpha-rule on (259) yields:
% 19.71/5.27 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.27 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.27 | (262) all_0_14_14 = e1
% 19.71/5.27 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.27 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.27 |
% 19.71/5.27 | Equations (262) can reduce 222 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 19.71/5.27 |
% 19.71/5.27 | Applying alpha-rule on (266) yields:
% 19.71/5.27 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.27 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 19.71/5.27 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 19.71/5.27 | (270) all_0_15_15 = e0
% 19.71/5.27 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 19.71/5.27 |
% 19.71/5.27 | Equations (270) can reduce 184 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.27 |
% 19.71/5.27 | Applying alpha-rule on (273) yields:
% 19.71/5.27 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.27 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.27 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.27 | (277) all_0_16_16 = e3
% 19.71/5.27 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.27 |
% 19.71/5.27 | Equations (277) can reduce 208 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.27 |
% 19.71/5.27 | Applying alpha-rule on (280) yields:
% 19.71/5.27 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.27 | (282) all_0_17_17 = e2
% 19.71/5.27 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.27 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.27 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.27 |
% 19.71/5.27 | Equations (282) can reduce 310 to:
% 19.71/5.27 | (75) ~ (e2 = e1)
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (82), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (337) ~ (all_0_13_13 = e3)
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (151), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (338) all_0_9_9 = e3
% 19.71/5.27 |
% 19.71/5.27 | Combining equations (424,338) yields a new equation:
% 19.71/5.27 | (323) e3 = e0
% 19.71/5.27 |
% 19.71/5.27 | Equations (323) can reduce 3 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (202) ~ (all_0_9_9 = e3)
% 19.71/5.27 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (341), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (347) all_0_13_13 = e3
% 19.71/5.27 |
% 19.71/5.27 | Equations (347) can reduce 337 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (337) ~ (all_0_13_13 = e3)
% 19.71/5.27 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 19.71/5.27 |
% 19.71/5.27 +-Applying beta-rule and splitting (350), into two cases.
% 19.71/5.27 |-Branch one:
% 19.71/5.27 | (360) all_0_17_17 = e3
% 19.71/5.27 |
% 19.71/5.27 | Combining equations (282,360) yields a new equation:
% 19.71/5.27 | (352) e3 = e2
% 19.71/5.27 |
% 19.71/5.27 | Equations (352) can reduce 111 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (315) ~ (all_0_17_17 = e3)
% 19.71/5.27 | (356) all_0_21_21 = e3
% 19.71/5.27 |
% 19.71/5.27 | Combining equations (554,356) yields a new equation:
% 19.71/5.27 | (556) e3 = e1
% 19.71/5.27 |
% 19.71/5.27 | Equations (556) can reduce 163 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (347) all_0_13_13 = e3
% 19.71/5.27 | (385) all_0_12_12 = e2
% 19.71/5.27 |
% 19.71/5.27 | Combining equations (385,389) yields a new equation:
% 19.71/5.27 | (966) e2 = e1
% 19.71/5.27 |
% 19.71/5.27 | Simplifying 966 yields:
% 19.71/5.27 | (742) e2 = e1
% 19.71/5.27 |
% 19.71/5.27 | Equations (742) can reduce 75 to:
% 19.71/5.27 | (172) $false
% 19.71/5.27 |
% 19.71/5.27 |-The branch is then unsatisfiable
% 19.71/5.27 |-Branch two:
% 19.71/5.27 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 19.71/5.28 |
% 19.71/5.28 | Applying alpha-rule on (287) yields:
% 19.71/5.28 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 19.71/5.28 | (275) ~ (all_0_18_18 = e1)
% 19.71/5.28 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 19.71/5.28 | (291) all_0_19_19 = e0
% 19.71/5.28 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 19.71/5.28 |
% 19.71/5.28 | Combining equations (291,458) yields a new equation:
% 19.71/5.28 | (543) e1 = e0
% 19.71/5.28 |
% 19.71/5.28 | Equations (543) can reduce 157 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 19.71/5.28 |
% 19.71/5.28 | Applying alpha-rule on (294) yields:
% 19.71/5.28 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 19.71/5.28 | (296) ~ (all_0_23_23 = e0)
% 19.71/5.28 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 19.71/5.28 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 19.71/5.28 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 19.71/5.28 |
% 19.71/5.28 | Equations (182) can reduce 296 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (232) ~ (all_0_8_8 = e3)
% 19.71/5.28 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (91), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (322) all_0_8_8 = e0
% 19.71/5.28 |
% 19.71/5.28 | Equations (322) can reduce 199 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (199) ~ (all_0_8_8 = e0)
% 19.71/5.28 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (616), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (492) all_0_8_8 = e2
% 19.71/5.28 |
% 19.71/5.28 | Equations (492) can reduce 198 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (198) ~ (all_0_8_8 = e2)
% 19.71/5.28 | (620) all_0_8_8 = e1 | all_0_8_8 = e0
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (620), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (621) all_0_8_8 = e1
% 19.71/5.28 |
% 19.71/5.28 | Equations (621) can reduce 196 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (196) ~ (all_0_8_8 = e1)
% 19.71/5.28 | (322) all_0_8_8 = e0
% 19.71/5.28 |
% 19.71/5.28 | Equations (322) can reduce 199 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (307) ~ (all_0_12_12 = e1)
% 19.71/5.28 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (1399), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (444) all_0_13_13 = e1
% 19.71/5.28 |
% 19.71/5.28 | Equations (444) can reduce 167 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (167) ~ (all_0_13_13 = e1)
% 19.71/5.28 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (1715), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (262) all_0_14_14 = e1
% 19.71/5.28 |
% 19.71/5.28 | Equations (262) can reduce 222 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (222) ~ (all_0_14_14 = e1)
% 19.71/5.28 | (490) all_0_15_15 = e1
% 19.71/5.28 |
% 19.71/5.28 | Equations (490) can reduce 536 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (221) ~ (all_0_10_10 = e1)
% 19.71/5.28 | (418) all_0_11_11 = e1
% 19.71/5.28 |
% 19.71/5.28 | Equations (418) can reduce 413 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (492) all_0_8_8 = e2
% 19.71/5.28 | (338) all_0_9_9 = e3
% 19.71/5.28 |
% 19.71/5.28 | Combining equations (338,424) yields a new equation:
% 19.71/5.28 | (564) e3 = e0
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 564 yields:
% 19.71/5.28 | (323) e3 = e0
% 19.71/5.28 |
% 19.71/5.28 | Equations (323) can reduce 3 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (372) ~ (all_0_9_9 = e0)
% 19.71/5.28 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (436), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (395) all_0_10_10 = e0
% 19.71/5.28 |
% 19.71/5.28 | Equations (395) can reduce 426 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (426) ~ (all_0_10_10 = e0)
% 19.71/5.28 | (247) all_0_11_11 = e0
% 19.71/5.28 |
% 19.71/5.28 | Equations (247) can reduce 183 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (322) all_0_8_8 = e0
% 19.71/5.28 | (399) all_0_11_11 = e3
% 19.71/5.28 |
% 19.71/5.28 | Equations (322) can reduce 24 to:
% 19.71/5.28 | (630) ~ (all_0_10_10 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 630 yields:
% 19.71/5.28 | (426) ~ (all_0_10_10 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (322) can reduce 158 to:
% 19.71/5.28 | (1740) ~ (all_0_12_12 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 1740 yields:
% 19.71/5.28 | (606) ~ (all_0_12_12 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (322) can reduce 121 to:
% 19.71/5.28 | (632) ~ (all_0_16_16 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 632 yields:
% 19.71/5.28 | (612) ~ (all_0_16_16 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (322) can reduce 125 to:
% 19.71/5.28 | (634) ~ (all_0_20_20 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 634 yields:
% 19.71/5.28 | (186) ~ (all_0_20_20 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (399) can reduce 54 to:
% 19.71/5.28 | (202) ~ (all_0_9_9 = e3)
% 19.71/5.28 |
% 19.71/5.28 | Equations (399) can reduce 23 to:
% 19.71/5.28 | (306) ~ (all_0_10_10 = e3)
% 19.71/5.28 |
% 19.71/5.28 | Equations (399) can reduce 129 to:
% 19.71/5.28 | (641) ~ (all_0_15_15 = e3)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 641 yields:
% 19.71/5.28 | (642) ~ (all_0_15_15 = e3)
% 19.71/5.28 |
% 19.71/5.28 | Equations (399) can reduce 413 to:
% 19.71/5.28 | (163) ~ (e3 = e1)
% 19.71/5.28 |
% 19.71/5.28 | From (322) and (108) follows:
% 19.71/5.28 | (1751) op(e0, e3) = all_0_7_7
% 19.71/5.28 |
% 19.71/5.28 | From (322) and (44) follows:
% 19.71/5.28 | (1752) op(e3, e3) = e0
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (139), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (726) all_0_15_15 = e3
% 19.71/5.28 |
% 19.71/5.28 | Equations (726) can reduce 642 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (642) ~ (all_0_15_15 = e3)
% 19.71/5.28 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (9), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (414) all_0_11_11 = e2
% 19.71/5.28 |
% 19.71/5.28 | Combining equations (399,414) yields a new equation:
% 19.71/5.28 | (511) e3 = e2
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 511 yields:
% 19.71/5.28 | (352) e3 = e2
% 19.71/5.28 |
% 19.71/5.28 | Equations (352) can reduce 111 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (343) ~ (all_0_11_11 = e2)
% 19.71/5.28 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (164), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (392) all_0_12_12 = e0
% 19.71/5.28 |
% 19.71/5.28 | Equations (392) can reduce 606 to:
% 19.71/5.28 | (172) $false
% 19.71/5.28 |
% 19.71/5.28 |-The branch is then unsatisfiable
% 19.71/5.28 |-Branch two:
% 19.71/5.28 | (606) ~ (all_0_12_12 = e0)
% 19.71/5.28 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (1762), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (752) all_0_15_15 = e2
% 19.71/5.28 |
% 19.71/5.28 | Equations (752) can reduce 30 to:
% 19.71/5.28 | (336) ~ (all_0_12_12 = e2)
% 19.71/5.28 |
% 19.71/5.28 | Equations (752) can reduce 135 to:
% 19.71/5.28 | (253) ~ (all_0_13_13 = e2)
% 19.71/5.28 |
% 19.71/5.28 | Equations (752) can reduce 71 to:
% 19.71/5.28 | (521) ~ (all_0_14_14 = e2)
% 19.71/5.28 |
% 19.71/5.28 | Equations (752) can reduce 642 to:
% 19.71/5.28 | (345) ~ (e3 = e2)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 345 yields:
% 19.71/5.28 | (111) ~ (e3 = e2)
% 19.71/5.28 |
% 19.71/5.28 | Equations (752) can reduce 536 to:
% 19.71/5.28 | (75) ~ (e2 = e1)
% 19.71/5.28 |
% 19.71/5.28 | Equations (752) can reduce 184 to:
% 19.71/5.28 | (29) ~ (e2 = e0)
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (82), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (337) ~ (all_0_13_13 = e3)
% 19.71/5.28 |
% 19.71/5.28 +-Applying beta-rule and splitting (1766), into two cases.
% 19.71/5.28 |-Branch one:
% 19.71/5.28 | (447) all_0_13_13 = e0
% 19.71/5.28 |
% 19.71/5.28 | Equations (447) can reduce 22 to:
% 19.71/5.28 | (372) ~ (all_0_9_9 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (447) can reduce 93 to:
% 19.71/5.28 | (606) ~ (all_0_12_12 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (447) can reduce 12 to:
% 19.71/5.28 | (469) ~ (all_0_14_14 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 469 yields:
% 19.71/5.28 | (470) ~ (all_0_14_14 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (447) can reduce 5 to:
% 19.71/5.28 | (1781) ~ (all_0_17_17 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 1781 yields:
% 19.71/5.28 | (1184) ~ (all_0_17_17 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (447) can reduce 104 to:
% 19.71/5.28 | (1547) ~ (all_0_21_21 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 1547 yields:
% 19.71/5.28 | (187) ~ (all_0_21_21 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (447) can reduce 337 to:
% 19.71/5.28 | (189) ~ (e3 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 189 yields:
% 19.71/5.28 | (3) ~ (e3 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (447) can reduce 253 to:
% 19.71/5.28 | (191) ~ (e2 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 191 yields:
% 19.71/5.28 | (29) ~ (e2 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Equations (447) can reduce 167 to:
% 19.71/5.28 | (193) ~ (e1 = e0)
% 19.71/5.28 |
% 19.71/5.28 | Simplifying 193 yields:
% 19.71/5.28 | (157) ~ (e1 = e0)
% 19.71/5.28 |
% 19.71/5.28 | From (447) and (62) follows:
% 19.71/5.29 | (1791) op(e0, e2) = all_0_5_5
% 19.71/5.29 |
% 19.71/5.29 | From (447) and (147) follows:
% 19.71/5.29 | (1792) op(e2, e2) = e0
% 19.71/5.29 |
% 19.71/5.29 | Instantiating formula (152) with e0, e3, all_0_7_7, all_0_20_20 and discharging atoms op(e0, e3) = all_0_7_7, op(e0, e3) = all_0_20_20, yields:
% 19.71/5.29 | (1793) all_0_7_7 = all_0_20_20
% 19.71/5.29 |
% 19.71/5.29 | Instantiating formula (152) with e0, e2, all_0_5_5, all_0_21_21 and discharging atoms op(e0, e2) = all_0_5_5, op(e0, e2) = all_0_21_21, yields:
% 19.71/5.29 | (1794) all_0_5_5 = all_0_21_21
% 19.71/5.29 |
% 19.71/5.29 | From (1794) and (67) follows:
% 19.71/5.29 | (1795) op(all_0_21_21, e2) = all_0_4_4
% 19.71/5.29 |
% 19.71/5.29 | From (1793) and (6) follows:
% 19.71/5.29 | (1796) op(all_0_20_20, e3) = all_0_6_6
% 19.71/5.29 |
% 19.71/5.29 +-Applying beta-rule and splitting (56), into two cases.
% 19.71/5.29 |-Branch one:
% 19.71/5.29 | (1797) ~ (all_0_2_2 = e2)
% 19.71/5.29 |
% 19.71/5.29 +-Applying beta-rule and splitting (55), into two cases.
% 19.71/5.29 |-Branch one:
% 19.71/5.29 | (1798) ~ (all_0_4_4 = e3)
% 19.71/5.29 |
% 19.71/5.29 +-Applying beta-rule and splitting (88), into two cases.
% 19.71/5.29 |-Branch one:
% 19.71/5.29 | (1799) ~ (all_0_6_6 = e2)
% 19.71/5.29 |
% 19.71/5.29 +-Applying beta-rule and splitting (155), into two cases.
% 19.71/5.29 |-Branch one:
% 19.71/5.29 | (1800) ~ (all_0_6_6 = e1)
% 19.71/5.29 |
% 19.71/5.29 +-Applying beta-rule and splitting (133), into two cases.
% 19.71/5.29 |-Branch one:
% 19.71/5.29 | (360) all_0_17_17 = e3
% 19.71/5.29 |
% 19.71/5.29 | Equations (360) can reduce 136 to:
% 19.71/5.29 | (202) ~ (all_0_9_9 = e3)
% 19.71/5.29 |
% 19.71/5.29 | Equations (360) can reduce 144 to:
% 19.71/5.29 | (208) ~ (all_0_16_16 = e3)
% 19.71/5.29 |
% 19.71/5.29 | Equations (360) can reduce 310 to:
% 19.71/5.29 | (163) ~ (e3 = e1)
% 19.71/5.29 |
% 19.71/5.29 | Equations (360) can reduce 1184 to:
% 19.71/5.29 | (3) ~ (e3 = e0)
% 19.71/5.29 |
% 19.71/5.29 | From (360) and (114) follows:
% 19.71/5.29 | (1806) op(e1, e2) = e3
% 19.71/5.29 |
% 19.71/5.29 +-Applying beta-rule and splitting (97), into two cases.
% 19.71/5.29 |-Branch one:
% 19.71/5.29 | (277) all_0_16_16 = e3
% 19.71/5.29 |
% 19.71/5.29 | Equations (277) can reduce 208 to:
% 19.71/5.29 | (172) $false
% 19.71/5.29 |
% 19.71/5.29 |-The branch is then unsatisfiable
% 19.71/5.29 |-Branch two:
% 19.71/5.29 | (208) ~ (all_0_16_16 = e3)
% 19.71/5.29 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 19.71/5.29 |
% 19.71/5.29 +-Applying beta-rule and splitting (113), into two cases.
% 19.71/5.29 |-Branch one:
% 19.71/5.29 | (685) all_0_16_16 = e2
% 19.71/5.29 |
% 19.71/5.29 | Equations (685) can reduce 45 to:
% 19.71/5.29 | (336) ~ (all_0_12_12 = e2)
% 19.71/5.29 |
% 19.71/5.29 | Equations (685) can reduce 101 to:
% 19.71/5.29 | (1813) ~ (all_0_20_20 = e2)
% 19.71/5.29 |
% 19.71/5.29 | Simplifying 1813 yields:
% 19.71/5.29 | (466) ~ (all_0_20_20 = e2)
% 19.71/5.29 |
% 19.71/5.29 | Equations (685) can reduce 208 to:
% 19.71/5.29 | (345) ~ (e3 = e2)
% 19.71/5.29 |
% 19.71/5.29 | Simplifying 345 yields:
% 19.71/5.29 | (111) ~ (e3 = e2)
% 19.71/5.29 |
% 19.71/5.29 | Equations (685) can reduce 770 to:
% 19.71/5.29 | (75) ~ (e2 = e1)
% 19.71/5.29 |
% 19.71/5.29 | Equations (685) can reduce 612 to:
% 19.71/5.29 | (29) ~ (e2 = e0)
% 19.71/5.29 |
% 19.71/5.29 | From (685) and (35) follows:
% 19.71/5.29 | (1819) op(e1, e3) = e2
% 19.71/5.29 |
% 19.71/5.29 +-Applying beta-rule and splitting (27), into two cases.
% 19.71/5.29 |-Branch one:
% 19.71/5.29 | (695) all_0_10_10 = e3
% 19.71/5.29 |
% 19.71/5.29 | Equations (695) can reduce 306 to:
% 19.71/5.29 | (172) $false
% 19.71/5.29 |
% 19.71/5.29 |-The branch is then unsatisfiable
% 19.71/5.29 |-Branch two:
% 19.71/5.29 | (306) ~ (all_0_10_10 = e3)
% 19.71/5.29 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 19.71/5.29 |
% 19.71/5.29 +-Applying beta-rule and splitting (149), into two cases.
% 19.71/5.29 |-Branch one:
% 19.71/5.29 | (200) all_0_8_8 = e3
% 19.71/5.29 |
% 19.71/5.29 | Combining equations (200,322) yields a new equation:
% 19.71/5.29 | (564) e3 = e0
% 19.71/5.29 |
% 20.11/5.29 | Simplifying 564 yields:
% 20.11/5.29 | (323) e3 = e0
% 20.11/5.29 |
% 20.11/5.29 | Equations (323) can reduce 3 to:
% 20.11/5.29 | (172) $false
% 20.11/5.29 |
% 20.11/5.29 |-The branch is then unsatisfiable
% 20.11/5.29 |-Branch two:
% 20.11/5.29 | (232) ~ (all_0_8_8 = e3)
% 20.11/5.29 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 20.11/5.29 |
% 20.11/5.29 +-Applying beta-rule and splitting (16), into two cases.
% 20.11/5.29 |-Branch one:
% 20.11/5.29 | (492) all_0_8_8 = e2
% 20.11/5.29 |
% 20.11/5.29 | Combining equations (492,322) yields a new equation:
% 20.11/5.29 | (499) e2 = e0
% 20.11/5.29 |
% 20.11/5.29 | Simplifying 499 yields:
% 20.11/5.29 | (500) e2 = e0
% 20.11/5.29 |
% 20.11/5.29 | Equations (500) can reduce 29 to:
% 20.11/5.29 | (172) $false
% 20.11/5.29 |
% 20.11/5.29 |-The branch is then unsatisfiable
% 20.11/5.29 |-Branch two:
% 20.11/5.29 | (198) ~ (all_0_8_8 = e2)
% 20.11/5.29 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 20.11/5.29 |
% 20.11/5.29 +-Applying beta-rule and splitting (107), into two cases.
% 20.11/5.29 |-Branch one:
% 20.11/5.29 | (327) all_0_20_20 = e3
% 20.11/5.29 |
% 20.11/5.29 | Equations (327) can reduce 7 to:
% 20.11/5.29 | (1837) ~ (all_0_21_21 = e3)
% 20.11/5.29 |
% 20.11/5.29 | Simplifying 1837 yields:
% 20.11/5.29 | (449) ~ (all_0_21_21 = e3)
% 20.11/5.29 |
% 20.11/5.29 | Equations (327) can reduce 14 to:
% 20.11/5.29 | (318) ~ (all_0_22_22 = e3)
% 20.11/5.29 |
% 20.11/5.29 | Simplifying 318 yields:
% 20.11/5.29 | (319) ~ (all_0_22_22 = e3)
% 20.11/5.29 |
% 20.11/5.29 | Equations (327) can reduce 186 to:
% 20.11/5.29 | (3) ~ (e3 = e0)
% 20.11/5.29 |
% 20.11/5.29 | From (327) and (1796) follows:
% 20.11/5.29 | (1842) op(e3, e3) = all_0_6_6
% 20.11/5.29 |
% 20.11/5.29 +-Applying beta-rule and splitting (146), into two cases.
% 20.11/5.29 |-Branch one:
% 20.11/5.29 | (621) all_0_8_8 = e1
% 20.11/5.29 |
% 20.11/5.29 | Combining equations (621,322) yields a new equation:
% 20.11/5.29 | (542) e1 = e0
% 20.11/5.29 |
% 20.11/5.29 | Simplifying 542 yields:
% 20.11/5.29 | (543) e1 = e0
% 20.11/5.29 |
% 20.11/5.29 | Equations (543) can reduce 157 to:
% 20.11/5.29 | (172) $false
% 20.11/5.29 |
% 20.11/5.29 |-The branch is then unsatisfiable
% 20.11/5.29 |-Branch two:
% 20.11/5.29 | (196) ~ (all_0_8_8 = e1)
% 20.11/5.29 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 20.11/5.29 |
% 20.11/5.29 | Equations (322) can reduce 196 to:
% 20.11/5.29 | (193) ~ (e1 = e0)
% 20.11/5.29 |
% 20.11/5.29 | Simplifying 193 yields:
% 20.11/5.29 | (157) ~ (e1 = e0)
% 20.11/5.29 |
% 20.11/5.29 +-Applying beta-rule and splitting (698), into two cases.
% 20.11/5.29 |-Branch one:
% 20.11/5.29 | (516) all_0_14_14 = e3
% 20.11/5.29 |
% 20.11/5.29 | Equations (516) can reduce 40 to:
% 20.11/5.29 | (306) ~ (all_0_10_10 = e3)
% 20.11/5.29 |
% 20.11/5.29 | Equations (516) can reduce 60 to:
% 20.11/5.29 | (206) ~ (all_0_12_12 = e3)
% 20.11/5.29 |
% 20.11/5.29 | Equations (516) can reduce 521 to:
% 20.11/5.29 | (111) ~ (e3 = e2)
% 20.11/5.29 |
% 20.11/5.29 | Equations (516) can reduce 470 to:
% 20.11/5.29 | (3) ~ (e3 = e0)
% 20.11/5.29 |
% 20.11/5.29 +-Applying beta-rule and splitting (148), into two cases.
% 20.11/5.29 |-Branch one:
% 20.11/5.29 | (389) all_0_12_12 = e1
% 20.11/5.29 |
% 20.11/5.29 | Equations (389) can reduce 206 to:
% 20.11/5.29 | (313) ~ (e3 = e1)
% 20.11/5.29 |
% 20.11/5.29 | Simplifying 313 yields:
% 20.11/5.29 | (163) ~ (e3 = e1)
% 20.11/5.29 |
% 20.11/5.29 | Equations (389) can reduce 336 to:
% 20.13/5.29 | (924) ~ (e2 = e1)
% 20.13/5.29 |
% 20.13/5.29 | Simplifying 924 yields:
% 20.13/5.29 | (75) ~ (e2 = e1)
% 20.13/5.29 |
% 20.13/5.29 | Instantiating formula (152) with e3, e3, all_0_6_6, e0 and discharging atoms op(e3, e3) = all_0_6_6, op(e3, e3) = e0, yields:
% 20.13/5.29 | (1861) all_0_6_6 = e0
% 20.13/5.29 |
% 20.13/5.29 | Equations (1861) can reduce 1800 to:
% 20.13/5.29 | (193) ~ (e1 = e0)
% 20.13/5.29 |
% 20.13/5.29 | Simplifying 193 yields:
% 20.13/5.29 | (157) ~ (e1 = e0)
% 20.13/5.29 |
% 20.13/5.29 +-Applying beta-rule and splitting (68), into two cases.
% 20.13/5.29 |-Branch one:
% 20.13/5.29 | (730) all_0_10_10 = e2
% 20.13/5.29 |
% 20.13/5.29 | Equations (730) can reduce 166 to:
% 20.13/5.29 | (383) ~ (all_0_9_9 = e2)
% 20.13/5.29 |
% 20.13/5.29 | Equations (730) can reduce 306 to:
% 20.13/5.29 | (345) ~ (e3 = e2)
% 20.13/5.29 |
% 20.13/5.29 | Simplifying 345 yields:
% 20.13/5.29 | (111) ~ (e3 = e2)
% 20.13/5.29 |
% 20.13/5.29 | Equations (730) can reduce 426 to:
% 20.13/5.29 | (29) ~ (e2 = e0)
% 20.13/5.29 |
% 20.13/5.30 +-Applying beta-rule and splitting (69), into two cases.
% 20.13/5.30 |-Branch one:
% 20.13/5.30 | (338) all_0_9_9 = e3
% 20.13/5.30 |
% 20.13/5.30 | Equations (338) can reduce 202 to:
% 20.13/5.30 | (172) $false
% 20.13/5.30 |
% 20.13/5.30 |-The branch is then unsatisfiable
% 20.13/5.30 |-Branch two:
% 20.13/5.30 | (202) ~ (all_0_9_9 = e3)
% 20.13/5.30 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 20.13/5.30 |
% 20.13/5.30 +-Applying beta-rule and splitting (47), into two cases.
% 20.13/5.30 |-Branch one:
% 20.13/5.30 | (621) all_0_8_8 = e1
% 20.13/5.30 |
% 20.13/5.30 | Combining equations (621,322) yields a new equation:
% 20.13/5.30 | (542) e1 = e0
% 20.13/5.30 |
% 20.13/5.30 | Simplifying 542 yields:
% 20.13/5.30 | (543) e1 = e0
% 20.13/5.30 |
% 20.13/5.30 | Equations (543) can reduce 157 to:
% 20.13/5.30 | (172) $false
% 20.13/5.30 |
% 20.13/5.30 |-The branch is then unsatisfiable
% 20.13/5.30 |-Branch two:
% 20.13/5.30 | (196) ~ (all_0_8_8 = e1)
% 20.13/5.30 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 20.13/5.30 |
% 20.13/5.30 +-Applying beta-rule and splitting (751), into two cases.
% 20.13/5.30 |-Branch one:
% 20.13/5.30 | (411) all_0_9_9 = e1
% 20.13/5.30 |
% 20.13/5.30 | Equations (411) can reduce 202 to:
% 20.13/5.30 | (313) ~ (e3 = e1)
% 20.13/5.30 |
% 20.13/5.30 | Simplifying 313 yields:
% 20.13/5.30 | (163) ~ (e3 = e1)
% 20.13/5.30 |
% 20.13/5.30 | Equations (411) can reduce 383 to:
% 20.13/5.30 | (924) ~ (e2 = e1)
% 20.13/5.30 |
% 20.13/5.30 | Simplifying 924 yields:
% 20.13/5.30 | (75) ~ (e2 = e1)
% 20.13/5.30 |
% 20.13/5.30 | Equations (411) can reduce 372 to:
% 20.13/5.30 | (157) ~ (e1 = e0)
% 20.13/5.30 |
% 20.13/5.30 +-Applying beta-rule and splitting (128), into two cases.
% 20.13/5.30 |-Branch one:
% 20.13/5.30 | (952) all_0_20_20 = e1
% 20.13/5.30 |
% 20.13/5.30 | Combining equations (327,952) yields a new equation:
% 20.13/5.30 | (555) e3 = e1
% 20.13/5.30 |
% 20.13/5.30 | Simplifying 555 yields:
% 20.13/5.30 | (556) e3 = e1
% 20.13/5.30 |
% 20.13/5.30 | Equations (556) can reduce 163 to:
% 20.13/5.30 | (172) $false
% 20.13/5.30 |
% 20.13/5.30 |-The branch is then unsatisfiable
% 20.13/5.30 |-Branch two:
% 20.13/5.30 | (963) ~ (all_0_20_20 = e1)
% 20.13/5.30 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.13/5.30 |
% 20.13/5.30 | Equations (327) can reduce 963 to:
% 20.13/5.30 | (163) ~ (e3 = e1)
% 20.13/5.30 |
% 20.13/5.30 +-Applying beta-rule and splitting (61), into two cases.
% 20.13/5.30 |-Branch one:
% 20.13/5.30 | (235) all_0_9_9 = e2
% 20.13/5.30 |
% 20.13/5.30 | Combining equations (235,411) yields a new equation:
% 20.13/5.30 | (966) e2 = e1
% 20.13/5.30 |
% 20.13/5.30 | Simplifying 966 yields:
% 20.13/5.30 | (742) e2 = e1
% 20.13/5.30 |
% 20.13/5.30 | Equations (742) can reduce 75 to:
% 20.13/5.30 | (172) $false
% 20.13/5.30 |
% 20.13/5.30 |-The branch is then unsatisfiable
% 20.13/5.30 |-Branch two:
% 20.13/5.30 | (383) ~ (all_0_9_9 = e2)
% 20.13/5.30 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 20.13/5.30 |
% 20.13/5.30 | Equations (411) can reduce 383 to:
% 20.13/5.30 | (924) ~ (e2 = e1)
% 20.13/5.30 |
% 20.13/5.30 | Simplifying 924 yields:
% 20.13/5.30 | (75) ~ (e2 = e1)
% 20.13/5.30 |
% 20.13/5.30 +-Applying beta-rule and splitting (17), into two cases.
% 20.13/5.30 |-Branch one:
% 20.13/5.30 | (335) all_0_20_20 = e2
% 20.13/5.30 |
% 20.13/5.30 | Combining equations (327,335) yields a new equation:
% 20.13/5.30 | (511) e3 = e2
% 20.13/5.30 |
% 20.13/5.30 | Simplifying 511 yields:
% 20.13/5.30 | (352) e3 = e2
% 20.13/5.30 |
% 20.13/5.30 | Equations (352) can reduce 111 to:
% 20.13/5.30 | (172) $false
% 20.13/5.30 |
% 20.13/5.30 |-The branch is then unsatisfiable
% 20.13/5.30 |-Branch two:
% 20.13/5.30 | (466) ~ (all_0_20_20 = e2)
% 20.13/5.30 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 20.13/5.30 |
% 20.13/5.30 | Equations (327) can reduce 466 to:
% 20.13/5.30 | (111) ~ (e3 = e2)
% 20.13/5.30 |
% 20.13/5.30 +-Applying beta-rule and splitting (99), into two cases.
% 20.13/5.30 |-Branch one:
% 20.13/5.30 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.13/5.30 |
% 20.13/5.30 +-Applying beta-rule and splitting (223), into two cases.
% 20.13/5.30 |-Branch one:
% 20.13/5.30 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.13/5.30 |
% 20.13/5.30 +-Applying beta-rule and splitting (224), into two cases.
% 20.13/5.30 |-Branch one:
% 20.13/5.30 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.16/5.30 |
% 20.16/5.30 +-Applying beta-rule and splitting (225), into two cases.
% 20.16/5.30 |-Branch one:
% 20.16/5.30 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.16/5.30 |
% 20.16/5.30 +-Applying beta-rule and splitting (226), into two cases.
% 20.16/5.30 |-Branch one:
% 20.16/5.30 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.16/5.30 |
% 20.16/5.30 +-Applying beta-rule and splitting (227), into two cases.
% 20.16/5.30 |-Branch one:
% 20.16/5.30 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.17/5.30 |
% 20.17/5.30 +-Applying beta-rule and splitting (228), into two cases.
% 20.17/5.30 |-Branch one:
% 20.17/5.30 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.17/5.30 |
% 20.17/5.30 +-Applying beta-rule and splitting (229), into two cases.
% 20.17/5.30 |-Branch one:
% 20.17/5.30 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.17/5.30 |
% 20.17/5.30 +-Applying beta-rule and splitting (230), into two cases.
% 20.17/5.30 |-Branch one:
% 20.17/5.30 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.17/5.30 |
% 20.17/5.30 | Applying alpha-rule on (231) yields:
% 20.17/5.30 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.30 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.17/5.30 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.17/5.30 | (235) all_0_9_9 = e2
% 20.17/5.30 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.17/5.30 |
% 20.17/5.31 | Combining equations (235,411) yields a new equation:
% 20.17/5.31 | (966) e2 = e1
% 20.17/5.31 |
% 20.17/5.31 | Simplifying 966 yields:
% 20.17/5.31 | (742) e2 = e1
% 20.17/5.31 |
% 20.17/5.31 | Equations (742) can reduce 75 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.17/5.31 |
% 20.17/5.31 | Applying alpha-rule on (238) yields:
% 20.17/5.31 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.31 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.17/5.31 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.17/5.31 | (242) all_0_10_10 = e1
% 20.17/5.31 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (242,730) yields a new equation:
% 20.17/5.31 | (742) e2 = e1
% 20.17/5.31 |
% 20.17/5.31 | Equations (742) can reduce 75 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.17/5.31 |
% 20.17/5.31 | Applying alpha-rule on (245) yields:
% 20.17/5.31 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.31 | (247) all_0_11_11 = e0
% 20.17/5.31 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.17/5.31 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.17/5.31 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (247,399) yields a new equation:
% 20.17/5.31 | (323) e3 = e0
% 20.17/5.31 |
% 20.17/5.31 | Equations (323) can reduce 3 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.17/5.31 |
% 20.17/5.31 | Applying alpha-rule on (252) yields:
% 20.17/5.31 | (253) ~ (all_0_13_13 = e2)
% 20.17/5.31 | (254) all_0_12_12 = e3
% 20.17/5.31 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.17/5.31 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.17/5.31 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (254,389) yields a new equation:
% 20.17/5.31 | (555) e3 = e1
% 20.17/5.31 |
% 20.17/5.31 | Simplifying 555 yields:
% 20.17/5.31 | (556) e3 = e1
% 20.17/5.31 |
% 20.17/5.31 | Equations (556) can reduce 163 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.17/5.31 |
% 20.17/5.31 | Applying alpha-rule on (259) yields:
% 20.17/5.31 | (253) ~ (all_0_13_13 = e2)
% 20.17/5.31 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.17/5.31 | (262) all_0_14_14 = e1
% 20.17/5.31 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.17/5.31 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (516,262) yields a new equation:
% 20.17/5.31 | (555) e3 = e1
% 20.17/5.31 |
% 20.17/5.31 | Simplifying 555 yields:
% 20.17/5.31 | (556) e3 = e1
% 20.17/5.31 |
% 20.17/5.31 | Equations (556) can reduce 163 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.17/5.31 |
% 20.17/5.31 | Applying alpha-rule on (266) yields:
% 20.17/5.31 | (253) ~ (all_0_13_13 = e2)
% 20.17/5.31 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.17/5.31 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.17/5.31 | (270) all_0_15_15 = e0
% 20.17/5.31 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (752,270) yields a new equation:
% 20.17/5.31 | (499) e2 = e0
% 20.17/5.31 |
% 20.17/5.31 | Simplifying 499 yields:
% 20.17/5.31 | (500) e2 = e0
% 20.17/5.31 |
% 20.17/5.31 | Equations (500) can reduce 29 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.17/5.31 |
% 20.17/5.31 | Applying alpha-rule on (273) yields:
% 20.17/5.31 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.17/5.31 | (275) ~ (all_0_18_18 = e1)
% 20.17/5.31 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.17/5.31 | (277) all_0_16_16 = e3
% 20.17/5.31 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (277,685) yields a new equation:
% 20.17/5.31 | (511) e3 = e2
% 20.17/5.31 |
% 20.17/5.31 | Simplifying 511 yields:
% 20.17/5.31 | (352) e3 = e2
% 20.17/5.31 |
% 20.17/5.31 | Equations (352) can reduce 111 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.17/5.31 |
% 20.17/5.31 | Applying alpha-rule on (280) yields:
% 20.17/5.31 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.17/5.31 | (282) all_0_17_17 = e2
% 20.17/5.31 | (275) ~ (all_0_18_18 = e1)
% 20.17/5.31 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.17/5.31 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (360,282) yields a new equation:
% 20.17/5.31 | (511) e3 = e2
% 20.17/5.31 |
% 20.17/5.31 | Simplifying 511 yields:
% 20.17/5.31 | (352) e3 = e2
% 20.17/5.31 |
% 20.17/5.31 | Equations (352) can reduce 111 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.17/5.31 |
% 20.17/5.31 | Applying alpha-rule on (287) yields:
% 20.17/5.31 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.17/5.31 | (275) ~ (all_0_18_18 = e1)
% 20.17/5.31 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.17/5.31 | (291) all_0_19_19 = e0
% 20.17/5.31 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (458,291) yields a new equation:
% 20.17/5.31 | (542) e1 = e0
% 20.17/5.31 |
% 20.17/5.31 | Simplifying 542 yields:
% 20.17/5.31 | (543) e1 = e0
% 20.17/5.31 |
% 20.17/5.31 | Equations (543) can reduce 157 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 20.17/5.31 |
% 20.17/5.31 | Applying alpha-rule on (294) yields:
% 20.17/5.31 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 20.17/5.31 | (296) ~ (all_0_23_23 = e0)
% 20.17/5.31 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 20.17/5.31 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 20.17/5.31 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 20.17/5.31 |
% 20.17/5.31 | Equations (182) can reduce 296 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (423) ~ (all_0_9_9 = e1)
% 20.17/5.31 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 20.17/5.31 |
% 20.17/5.31 +-Applying beta-rule and splitting (900), into two cases.
% 20.17/5.31 |-Branch one:
% 20.17/5.31 | (242) all_0_10_10 = e1
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (242,730) yields a new equation:
% 20.17/5.31 | (742) e2 = e1
% 20.17/5.31 |
% 20.17/5.31 | Equations (742) can reduce 75 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (221) ~ (all_0_10_10 = e1)
% 20.17/5.31 | (418) all_0_11_11 = e1
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (418,399) yields a new equation:
% 20.17/5.31 | (556) e3 = e1
% 20.17/5.31 |
% 20.17/5.31 | Equations (556) can reduce 163 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (985) ~ (all_0_10_10 = e2)
% 20.17/5.31 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 20.17/5.31 |
% 20.17/5.31 +-Applying beta-rule and splitting (496), into two cases.
% 20.17/5.31 |-Branch one:
% 20.17/5.31 | (235) all_0_9_9 = e2
% 20.17/5.31 |
% 20.17/5.31 | Equations (235) can reduce 74 to:
% 20.17/5.31 | (2013) ~ (all_0_21_21 = e2)
% 20.17/5.31 |
% 20.17/5.31 | Simplifying 2013 yields:
% 20.17/5.31 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.31 |
% 20.17/5.31 +-Applying beta-rule and splitting (4), into two cases.
% 20.17/5.31 |-Branch one:
% 20.17/5.31 | (356) all_0_21_21 = e3
% 20.17/5.31 |
% 20.17/5.31 | Equations (356) can reduce 449 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.31 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.31 |
% 20.17/5.31 +-Applying beta-rule and splitting (2018), into two cases.
% 20.17/5.31 |-Branch one:
% 20.17/5.31 | (510) all_0_21_21 = e2
% 20.17/5.31 |
% 20.17/5.31 | Equations (510) can reduce 514 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.31 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.31 |
% 20.17/5.31 +-Applying beta-rule and splitting (128), into two cases.
% 20.17/5.31 |-Branch one:
% 20.17/5.31 | (952) all_0_20_20 = e1
% 20.17/5.31 |
% 20.17/5.31 | Combining equations (327,952) yields a new equation:
% 20.17/5.31 | (555) e3 = e1
% 20.17/5.31 |
% 20.17/5.31 | Simplifying 555 yields:
% 20.17/5.31 | (556) e3 = e1
% 20.17/5.31 |
% 20.17/5.31 | Equations (556) can reduce 163 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.31 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.17/5.31 |
% 20.17/5.31 +-Applying beta-rule and splitting (964), into two cases.
% 20.17/5.31 |-Branch one:
% 20.17/5.31 | (554) all_0_21_21 = e1
% 20.17/5.31 |
% 20.17/5.31 | From (554) and (1795) follows:
% 20.17/5.31 | (2030) op(e1, e2) = all_0_4_4
% 20.17/5.31 |
% 20.17/5.31 | Instantiating formula (152) with e1, e2, all_0_4_4, e3 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = e3, yields:
% 20.17/5.31 | (2031) all_0_4_4 = e3
% 20.17/5.31 |
% 20.17/5.31 | Equations (2031) can reduce 1798 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.31 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 20.17/5.31 |
% 20.17/5.31 +-Applying beta-rule and splitting (2022), into two cases.
% 20.17/5.31 |-Branch one:
% 20.17/5.31 | (554) all_0_21_21 = e1
% 20.17/5.31 |
% 20.17/5.31 | Equations (554) can reduce 969 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.31 | (1185) all_0_21_21 = e0
% 20.17/5.31 |
% 20.17/5.31 | Equations (1185) can reduce 187 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.31 | (383) ~ (all_0_9_9 = e2)
% 20.17/5.31 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 20.17/5.31 |
% 20.17/5.31 +-Applying beta-rule and splitting (2041), into two cases.
% 20.17/5.31 |-Branch one:
% 20.17/5.31 | (730) all_0_10_10 = e2
% 20.17/5.31 |
% 20.17/5.31 | Equations (730) can reduce 985 to:
% 20.17/5.31 | (172) $false
% 20.17/5.31 |
% 20.17/5.31 |-The branch is then unsatisfiable
% 20.17/5.31 |-Branch two:
% 20.17/5.32 | (985) ~ (all_0_10_10 = e2)
% 20.17/5.32 | (414) all_0_11_11 = e2
% 20.17/5.32 |
% 20.17/5.32 | Combining equations (414,399) yields a new equation:
% 20.17/5.32 | (352) e3 = e2
% 20.17/5.32 |
% 20.17/5.32 | Equations (352) can reduce 111 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (307) ~ (all_0_12_12 = e1)
% 20.17/5.32 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (1399), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (444) all_0_13_13 = e1
% 20.17/5.32 |
% 20.17/5.32 | Combining equations (444,447) yields a new equation:
% 20.17/5.32 | (542) e1 = e0
% 20.17/5.32 |
% 20.17/5.32 | Simplifying 542 yields:
% 20.17/5.32 | (543) e1 = e0
% 20.17/5.32 |
% 20.17/5.32 | Equations (543) can reduce 157 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (167) ~ (all_0_13_13 = e1)
% 20.17/5.32 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (1715), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (262) all_0_14_14 = e1
% 20.17/5.32 |
% 20.17/5.32 | Combining equations (262,516) yields a new equation:
% 20.17/5.32 | (556) e3 = e1
% 20.17/5.32 |
% 20.17/5.32 | Equations (556) can reduce 163 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (222) ~ (all_0_14_14 = e1)
% 20.17/5.32 | (490) all_0_15_15 = e1
% 20.17/5.32 |
% 20.17/5.32 | Combining equations (490,752) yields a new equation:
% 20.17/5.32 | (742) e2 = e1
% 20.17/5.32 |
% 20.17/5.32 | Equations (742) can reduce 75 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (308) ~ (all_0_14_14 = e3)
% 20.17/5.32 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (703), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (212) all_0_18_18 = e3
% 20.17/5.32 |
% 20.17/5.32 | Combining equations (302,212) yields a new equation:
% 20.17/5.32 | (323) e3 = e0
% 20.17/5.32 |
% 20.17/5.32 | Equations (323) can reduce 3 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (211) ~ (all_0_18_18 = e3)
% 20.17/5.32 | (560) all_0_22_22 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (560) can reduce 319 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.32 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (1829), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (254) all_0_12_12 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (254) can reduce 42 to:
% 20.17/5.32 | (209) ~ (all_0_20_20 = e3)
% 20.17/5.32 |
% 20.17/5.32 | Simplifying 209 yields:
% 20.17/5.32 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (70), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (327) all_0_20_20 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (327) can reduce 210 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.32 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (330), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (335) all_0_20_20 = e2
% 20.17/5.32 |
% 20.17/5.32 | Equations (335) can reduce 466 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.32 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (467), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (952) all_0_20_20 = e1
% 20.17/5.32 |
% 20.17/5.32 | From (952) and (1796) follows:
% 20.17/5.32 | (2085) op(e1, e3) = all_0_6_6
% 20.17/5.32 |
% 20.17/5.32 | Instantiating formula (152) with e1, e3, all_0_6_6, e2 and discharging atoms op(e1, e3) = all_0_6_6, op(e1, e3) = e2, yields:
% 20.17/5.32 | (2086) all_0_6_6 = e2
% 20.17/5.32 |
% 20.17/5.32 | Equations (2086) can reduce 1799 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.32 | (613) all_0_20_20 = e0
% 20.17/5.32 |
% 20.17/5.32 | Equations (613) can reduce 186 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.32 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (70), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (327) all_0_20_20 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (327) can reduce 210 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.32 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (2092), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (277) all_0_16_16 = e3
% 20.17/5.32 |
% 20.17/5.32 | Combining equations (685,277) yields a new equation:
% 20.17/5.32 | (352) e3 = e2
% 20.17/5.32 |
% 20.17/5.32 | Equations (352) can reduce 111 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.32 | (327) all_0_20_20 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (327) can reduce 210 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (688) ~ (all_0_16_16 = e2)
% 20.17/5.32 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (1810), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (685) all_0_16_16 = e2
% 20.17/5.32 |
% 20.17/5.32 | Equations (685) can reduce 688 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (688) ~ (all_0_16_16 = e2)
% 20.17/5.32 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (2108), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (305) all_0_16_16 = e1
% 20.17/5.32 |
% 20.17/5.32 | Equations (305) can reduce 770 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (770) ~ (all_0_16_16 = e1)
% 20.17/5.32 | (608) all_0_16_16 = e0
% 20.17/5.32 |
% 20.17/5.32 | Equations (608) can reduce 612 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.32 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (363), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (282) all_0_17_17 = e2
% 20.17/5.32 |
% 20.17/5.32 | Equations (282) can reduce 144 to:
% 20.17/5.32 | (688) ~ (all_0_16_16 = e2)
% 20.17/5.32 |
% 20.17/5.32 | Equations (282) can reduce 315 to:
% 20.17/5.32 | (345) ~ (e3 = e2)
% 20.17/5.32 |
% 20.17/5.32 | Simplifying 345 yields:
% 20.17/5.32 | (111) ~ (e3 = e2)
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (97), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (277) all_0_16_16 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (277) can reduce 45 to:
% 20.17/5.32 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.32 |
% 20.17/5.32 | Equations (277) can reduce 688 to:
% 20.17/5.32 | (111) ~ (e3 = e2)
% 20.17/5.32 |
% 20.17/5.32 | Equations (277) can reduce 612 to:
% 20.17/5.32 | (3) ~ (e3 = e0)
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (78), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (254) all_0_12_12 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (254) can reduce 206 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.32 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (165), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (254) all_0_12_12 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (254) can reduce 206 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.32 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (151), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (338) all_0_9_9 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (338) can reduce 202 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (202) ~ (all_0_9_9 = e3)
% 20.17/5.32 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (381), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (385) all_0_12_12 = e2
% 20.17/5.32 |
% 20.17/5.32 | Equations (385) can reduce 336 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (336) ~ (all_0_12_12 = e2)
% 20.17/5.32 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (388), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (389) all_0_12_12 = e1
% 20.17/5.32 |
% 20.17/5.32 | Equations (389) can reduce 42 to:
% 20.17/5.32 | (2141) ~ (all_0_20_20 = e1)
% 20.17/5.32 |
% 20.17/5.32 | Simplifying 2141 yields:
% 20.17/5.32 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.32 |
% 20.17/5.32 | From (389) and (162) follows:
% 20.17/5.32 | (2143) op(e2, e3) = e1
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (714), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (347) all_0_13_13 = e3
% 20.17/5.32 |
% 20.17/5.32 | Combining equations (347,447) yields a new equation:
% 20.17/5.32 | (564) e3 = e0
% 20.17/5.32 |
% 20.17/5.32 | Simplifying 564 yields:
% 20.17/5.32 | (323) e3 = e0
% 20.17/5.32 |
% 20.17/5.32 | Equations (323) can reduce 3 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (337) ~ (all_0_13_13 = e3)
% 20.17/5.32 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (447) can reduce 337 to:
% 20.17/5.32 | (189) ~ (e3 = e0)
% 20.17/5.32 |
% 20.17/5.32 | Simplifying 189 yields:
% 20.17/5.32 | (3) ~ (e3 = e0)
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (341), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (347) all_0_13_13 = e3
% 20.17/5.32 |
% 20.17/5.32 | Combining equations (347,447) yields a new equation:
% 20.17/5.32 | (564) e3 = e0
% 20.17/5.32 |
% 20.17/5.32 | Simplifying 564 yields:
% 20.17/5.32 | (323) e3 = e0
% 20.17/5.32 |
% 20.17/5.32 | Equations (323) can reduce 3 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (337) ~ (all_0_13_13 = e3)
% 20.17/5.32 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (350), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (360) all_0_17_17 = e3
% 20.17/5.32 |
% 20.17/5.32 | Combining equations (282,360) yields a new equation:
% 20.17/5.32 | (352) e3 = e2
% 20.17/5.32 |
% 20.17/5.32 | Equations (352) can reduce 111 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.32 | (356) all_0_21_21 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (356) can reduce 7 to:
% 20.17/5.32 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (70), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (327) all_0_20_20 = e3
% 20.17/5.32 |
% 20.17/5.32 | Equations (327) can reduce 210 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.32 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (330), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (335) all_0_20_20 = e2
% 20.17/5.32 |
% 20.17/5.32 | From (335) and (1796) follows:
% 20.17/5.32 | (2169) op(e2, e3) = all_0_6_6
% 20.17/5.32 |
% 20.17/5.32 | Instantiating formula (152) with e2, e3, e1, all_0_6_6 and discharging atoms op(e2, e3) = all_0_6_6, op(e2, e3) = e1, yields:
% 20.17/5.32 | (2170) all_0_6_6 = e1
% 20.17/5.32 |
% 20.17/5.32 | Equations (2170) can reduce 1800 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.32 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (128), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (952) all_0_20_20 = e1
% 20.17/5.32 |
% 20.17/5.32 | Equations (952) can reduce 963 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.32 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.17/5.32 |
% 20.17/5.32 +-Applying beta-rule and splitting (467), into two cases.
% 20.17/5.32 |-Branch one:
% 20.17/5.32 | (952) all_0_20_20 = e1
% 20.17/5.32 |
% 20.17/5.32 | Equations (952) can reduce 963 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.32 | (613) all_0_20_20 = e0
% 20.17/5.32 |
% 20.17/5.32 | Equations (613) can reduce 186 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (307) ~ (all_0_12_12 = e1)
% 20.17/5.32 | (392) all_0_12_12 = e0
% 20.17/5.32 |
% 20.17/5.32 | Equations (392) can reduce 606 to:
% 20.17/5.32 | (172) $false
% 20.17/5.32 |
% 20.17/5.32 |-The branch is then unsatisfiable
% 20.17/5.32 |-Branch two:
% 20.17/5.32 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.33 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (151), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (338) all_0_9_9 = e3
% 20.17/5.33 |
% 20.17/5.33 | Equations (338) can reduce 202 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (202) ~ (all_0_9_9 = e3)
% 20.17/5.33 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (77), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (277) all_0_16_16 = e3
% 20.17/5.33 |
% 20.17/5.33 | Equations (277) can reduce 208 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.33 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (1015), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (360) all_0_17_17 = e3
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (282,360) yields a new equation:
% 20.17/5.33 | (352) e3 = e2
% 20.17/5.33 |
% 20.17/5.33 | Equations (352) can reduce 111 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.33 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (341), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (347) all_0_13_13 = e3
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (447,347) yields a new equation:
% 20.17/5.33 | (323) e3 = e0
% 20.17/5.33 |
% 20.17/5.33 | Equations (323) can reduce 3 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (337) ~ (all_0_13_13 = e3)
% 20.17/5.33 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.33 |
% 20.17/5.33 | Equations (447) can reduce 337 to:
% 20.17/5.33 | (189) ~ (e3 = e0)
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 189 yields:
% 20.17/5.33 | (3) ~ (e3 = e0)
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (1031), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (212) all_0_18_18 = e3
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (302,212) yields a new equation:
% 20.17/5.33 | (323) e3 = e0
% 20.17/5.33 |
% 20.17/5.33 | Equations (323) can reduce 3 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (211) ~ (all_0_18_18 = e3)
% 20.17/5.33 | (331) all_0_19_19 = e3
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (458,331) yields a new equation:
% 20.17/5.33 | (556) e3 = e1
% 20.17/5.33 |
% 20.17/5.33 | Equations (556) can reduce 163 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (344) ~ (all_0_17_17 = e2)
% 20.17/5.33 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (367), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (368) all_0_17_17 = e1
% 20.17/5.33 |
% 20.17/5.33 | Equations (368) can reduce 310 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (310) ~ (all_0_17_17 = e1)
% 20.17/5.33 | (371) all_0_17_17 = e0
% 20.17/5.33 |
% 20.17/5.33 | Equations (371) can reduce 1184 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (2170) all_0_6_6 = e1
% 20.17/5.33 | (2223) ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e0)
% 20.17/5.33 |
% 20.17/5.33 | From (2170) and (1796) follows:
% 20.17/5.33 | (2224) op(all_0_20_20, e3) = e1
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (2223), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (2225) ~ (all_0_7_7 = e2)
% 20.17/5.33 |
% 20.17/5.33 | Equations (1793) can reduce 2225 to:
% 20.17/5.33 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (66), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (492) all_0_8_8 = e2
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (322,492) yields a new equation:
% 20.17/5.33 | (500) e2 = e0
% 20.17/5.33 |
% 20.17/5.33 | Equations (500) can reduce 29 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (198) ~ (all_0_8_8 = e2)
% 20.17/5.33 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (2231), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (385) all_0_12_12 = e2
% 20.17/5.33 |
% 20.17/5.33 | Equations (385) can reduce 336 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (336) ~ (all_0_12_12 = e2)
% 20.17/5.33 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (2235), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (685) all_0_16_16 = e2
% 20.17/5.33 |
% 20.17/5.33 | Equations (685) can reduce 144 to:
% 20.17/5.33 | (2237) ~ (all_0_17_17 = e2)
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 2237 yields:
% 20.17/5.33 | (344) ~ (all_0_17_17 = e2)
% 20.17/5.33 |
% 20.17/5.33 | Equations (685) can reduce 101 to:
% 20.17/5.33 | (1813) ~ (all_0_20_20 = e2)
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 1813 yields:
% 20.17/5.33 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.33 |
% 20.17/5.33 | Equations (685) can reduce 770 to:
% 20.17/5.33 | (75) ~ (e2 = e1)
% 20.17/5.33 |
% 20.17/5.33 | From (685) and (35) follows:
% 20.17/5.33 | (1819) op(e1, e3) = e2
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (77), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (277) all_0_16_16 = e3
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (685,277) yields a new equation:
% 20.17/5.33 | (352) e3 = e2
% 20.17/5.33 |
% 20.17/5.33 | Equations (352) can reduce 111 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.33 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (133), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (360) all_0_17_17 = e3
% 20.17/5.33 |
% 20.17/5.33 | Equations (360) can reduce 136 to:
% 20.17/5.33 | (202) ~ (all_0_9_9 = e3)
% 20.17/5.33 |
% 20.17/5.33 | Equations (360) can reduce 76 to:
% 20.17/5.33 | (1837) ~ (all_0_21_21 = e3)
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 1837 yields:
% 20.17/5.33 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.33 |
% 20.17/5.33 | Equations (360) can reduce 344 to:
% 20.17/5.33 | (111) ~ (e3 = e2)
% 20.17/5.33 |
% 20.17/5.33 | Equations (360) can reduce 310 to:
% 20.17/5.33 | (163) ~ (e3 = e1)
% 20.17/5.33 |
% 20.17/5.33 | Equations (360) can reduce 1184 to:
% 20.17/5.33 | (3) ~ (e3 = e0)
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (70), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (327) all_0_20_20 = e3
% 20.17/5.33 |
% 20.17/5.33 | From (327) and (2224) follows:
% 20.17/5.33 | (2256) op(e3, e3) = e1
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (146), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (621) all_0_8_8 = e1
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (621,322) yields a new equation:
% 20.17/5.33 | (542) e1 = e0
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 542 yields:
% 20.17/5.33 | (543) e1 = e0
% 20.17/5.33 |
% 20.17/5.33 | Equations (543) can reduce 157 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (196) ~ (all_0_8_8 = e1)
% 20.17/5.33 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (778), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (389) all_0_12_12 = e1
% 20.17/5.33 |
% 20.17/5.33 | Equations (389) can reduce 606 to:
% 20.17/5.33 | (157) ~ (e1 = e0)
% 20.17/5.33 |
% 20.17/5.33 | Instantiating formula (152) with e3, e3, e1, e0 and discharging atoms op(e3, e3) = e1, op(e3, e3) = e0, yields:
% 20.17/5.33 | (543) e1 = e0
% 20.17/5.33 |
% 20.17/5.33 | Equations (543) can reduce 157 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (307) ~ (all_0_12_12 = e1)
% 20.17/5.33 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (2268), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (305) all_0_16_16 = e1
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (685,305) yields a new equation:
% 20.17/5.33 | (966) e2 = e1
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 966 yields:
% 20.17/5.33 | (742) e2 = e1
% 20.17/5.33 |
% 20.17/5.33 | Equations (742) can reduce 75 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (770) ~ (all_0_16_16 = e1)
% 20.17/5.33 | (952) all_0_20_20 = e1
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (952,327) yields a new equation:
% 20.17/5.33 | (556) e3 = e1
% 20.17/5.33 |
% 20.17/5.33 | Equations (556) can reduce 163 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.33 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (149), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (200) all_0_8_8 = e3
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (200,322) yields a new equation:
% 20.17/5.33 | (564) e3 = e0
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 564 yields:
% 20.17/5.33 | (323) e3 = e0
% 20.17/5.33 |
% 20.17/5.33 | Equations (323) can reduce 3 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.33 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (107), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (327) all_0_20_20 = e3
% 20.17/5.33 |
% 20.17/5.33 | Equations (327) can reduce 210 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.33 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (330), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (335) all_0_20_20 = e2
% 20.17/5.33 |
% 20.17/5.33 | Equations (335) can reduce 466 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.33 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (1829), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (254) all_0_12_12 = e3
% 20.17/5.33 |
% 20.17/5.33 | Equations (254) can reduce 606 to:
% 20.17/5.33 | (3) ~ (e3 = e0)
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (148), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (389) all_0_12_12 = e1
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (254,389) yields a new equation:
% 20.17/5.33 | (555) e3 = e1
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 555 yields:
% 20.17/5.33 | (556) e3 = e1
% 20.17/5.33 |
% 20.17/5.33 | Equations (556) can reduce 163 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (307) ~ (all_0_12_12 = e1)
% 20.17/5.33 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (467), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (952) all_0_20_20 = e1
% 20.17/5.33 |
% 20.17/5.33 | Equations (952) can reduce 466 to:
% 20.17/5.33 | (924) ~ (e2 = e1)
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 924 yields:
% 20.17/5.33 | (75) ~ (e2 = e1)
% 20.17/5.33 |
% 20.17/5.33 | Equations (952) can reduce 186 to:
% 20.17/5.33 | (157) ~ (e1 = e0)
% 20.17/5.33 |
% 20.17/5.33 | From (952) and (2224) follows:
% 20.17/5.33 | (2305) op(e1, e3) = e1
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (355), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (356) all_0_21_21 = e3
% 20.17/5.33 |
% 20.17/5.33 | Equations (356) can reduce 449 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.33 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (1399), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (444) all_0_13_13 = e1
% 20.17/5.33 |
% 20.17/5.33 | Combining equations (444,447) yields a new equation:
% 20.17/5.33 | (542) e1 = e0
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 542 yields:
% 20.17/5.33 | (543) e1 = e0
% 20.17/5.33 |
% 20.17/5.33 | Equations (543) can reduce 157 to:
% 20.17/5.33 | (172) $false
% 20.17/5.33 |
% 20.17/5.33 |-The branch is then unsatisfiable
% 20.17/5.33 |-Branch two:
% 20.17/5.33 | (167) ~ (all_0_13_13 = e1)
% 20.17/5.33 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (450), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (560) all_0_22_22 = e3
% 20.17/5.33 |
% 20.17/5.33 | Equations (560) can reduce 72 to:
% 20.17/5.33 | (306) ~ (all_0_10_10 = e3)
% 20.17/5.33 |
% 20.17/5.33 | Equations (560) can reduce 150 to:
% 20.17/5.33 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (1715), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (262) all_0_14_14 = e1
% 20.17/5.33 |
% 20.17/5.33 | Equations (262) can reduce 40 to:
% 20.17/5.33 | (221) ~ (all_0_10_10 = e1)
% 20.17/5.33 |
% 20.17/5.33 | Equations (262) can reduce 470 to:
% 20.17/5.33 | (157) ~ (e1 = e0)
% 20.17/5.33 |
% 20.17/5.33 +-Applying beta-rule and splitting (21), into two cases.
% 20.17/5.33 |-Branch one:
% 20.17/5.33 | (411) all_0_9_9 = e1
% 20.17/5.33 |
% 20.17/5.33 | Equations (411) can reduce 166 to:
% 20.17/5.33 | (2323) ~ (all_0_10_10 = e1)
% 20.17/5.33 |
% 20.17/5.33 | Simplifying 2323 yields:
% 20.17/5.33 | (221) ~ (all_0_10_10 = e1)
% 20.17/5.33 |
% 20.17/5.34 | Equations (411) can reduce 74 to:
% 20.17/5.34 | (2325) ~ (all_0_21_21 = e1)
% 20.17/5.34 |
% 20.17/5.34 | Simplifying 2325 yields:
% 20.17/5.34 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (68), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (730) all_0_10_10 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (730) can reduce 221 to:
% 20.17/5.34 | (75) ~ (e2 = e1)
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (17), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (335) all_0_20_20 = e2
% 20.17/5.34 |
% 20.17/5.34 | Combining equations (335,952) yields a new equation:
% 20.17/5.34 | (966) e2 = e1
% 20.17/5.34 |
% 20.17/5.34 | Simplifying 966 yields:
% 20.17/5.34 | (742) e2 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (742) can reduce 75 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.34 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (4), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (356) all_0_21_21 = e3
% 20.17/5.34 |
% 20.17/5.34 | Equations (356) can reduce 449 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.34 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (509), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (510) all_0_21_21 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (510) can reduce 969 to:
% 20.17/5.34 | (75) ~ (e2 = e1)
% 20.17/5.34 |
% 20.17/5.34 | Instantiating formula (152) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields:
% 20.17/5.34 | (742) e2 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (742) can reduce 75 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.34 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (2018), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (510) all_0_21_21 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (510) can reduce 514 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.34 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (2022), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (554) all_0_21_21 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (554) can reduce 969 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.34 | (1185) all_0_21_21 = e0
% 20.17/5.34 |
% 20.17/5.34 | Equations (1185) can reduce 187 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (985) ~ (all_0_10_10 = e2)
% 20.17/5.34 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (50), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (695) all_0_10_10 = e3
% 20.17/5.34 |
% 20.17/5.34 | Equations (695) can reduce 306 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (306) ~ (all_0_10_10 = e3)
% 20.17/5.34 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (1231), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (730) all_0_10_10 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (730) can reduce 985 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (985) ~ (all_0_10_10 = e2)
% 20.17/5.34 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (1235), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (242) all_0_10_10 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (242) can reduce 221 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (221) ~ (all_0_10_10 = e1)
% 20.17/5.34 | (395) all_0_10_10 = e0
% 20.17/5.34 |
% 20.17/5.34 | Equations (395) can reduce 426 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (423) ~ (all_0_9_9 = e1)
% 20.17/5.34 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (68), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (730) all_0_10_10 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (730) can reduce 166 to:
% 20.17/5.34 | (383) ~ (all_0_9_9 = e2)
% 20.17/5.34 |
% 20.17/5.34 | Equations (730) can reduce 306 to:
% 20.17/5.34 | (345) ~ (e3 = e2)
% 20.17/5.34 |
% 20.17/5.34 | Simplifying 345 yields:
% 20.17/5.34 | (111) ~ (e3 = e2)
% 20.17/5.34 |
% 20.17/5.34 | Equations (730) can reduce 221 to:
% 20.17/5.34 | (75) ~ (e2 = e1)
% 20.17/5.34 |
% 20.17/5.34 | Equations (730) can reduce 426 to:
% 20.17/5.34 | (29) ~ (e2 = e0)
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (17), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (335) all_0_20_20 = e2
% 20.17/5.34 |
% 20.17/5.34 | Combining equations (952,335) yields a new equation:
% 20.17/5.34 | (742) e2 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (742) can reduce 75 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.34 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (69), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (338) all_0_9_9 = e3
% 20.17/5.34 |
% 20.17/5.34 | Equations (338) can reduce 202 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (202) ~ (all_0_9_9 = e3)
% 20.17/5.34 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (61), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (235) all_0_9_9 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (235) can reduce 383 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (383) ~ (all_0_9_9 = e2)
% 20.17/5.34 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (47), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (621) all_0_8_8 = e1
% 20.17/5.34 |
% 20.17/5.34 | Combining equations (621,322) yields a new equation:
% 20.17/5.34 | (542) e1 = e0
% 20.17/5.34 |
% 20.17/5.34 | Simplifying 542 yields:
% 20.17/5.34 | (543) e1 = e0
% 20.17/5.34 |
% 20.17/5.34 | Equations (543) can reduce 157 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (196) ~ (all_0_8_8 = e1)
% 20.17/5.34 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (930), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (382) all_0_13_13 = e2
% 20.17/5.34 |
% 20.17/5.34 | Combining equations (382,447) yields a new equation:
% 20.17/5.34 | (499) e2 = e0
% 20.17/5.34 |
% 20.17/5.34 | Simplifying 499 yields:
% 20.17/5.34 | (500) e2 = e0
% 20.17/5.34 |
% 20.17/5.34 | Equations (500) can reduce 29 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (253) ~ (all_0_13_13 = e2)
% 20.17/5.34 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (4), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (356) all_0_21_21 = e3
% 20.17/5.34 |
% 20.17/5.34 | Equations (356) can reduce 449 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.34 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (509), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (510) all_0_21_21 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (510) can reduce 74 to:
% 20.17/5.34 | (383) ~ (all_0_9_9 = e2)
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (406), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (235) all_0_9_9 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (235) can reduce 383 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (383) ~ (all_0_9_9 = e2)
% 20.17/5.34 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (751), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (411) all_0_9_9 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (411) can reduce 423 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (423) ~ (all_0_9_9 = e1)
% 20.17/5.34 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (410), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (411) all_0_9_9 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (411) can reduce 423 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (423) ~ (all_0_9_9 = e1)
% 20.17/5.34 | (424) all_0_9_9 = e0
% 20.17/5.34 |
% 20.17/5.34 | Equations (424) can reduce 372 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.34 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (2018), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (510) all_0_21_21 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (510) can reduce 514 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.34 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (939), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (282) all_0_17_17 = e2
% 20.17/5.34 |
% 20.17/5.34 | Combining equations (282,360) yields a new equation:
% 20.17/5.34 | (352) e3 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (352) can reduce 111 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (344) ~ (all_0_17_17 = e2)
% 20.17/5.34 | (510) all_0_21_21 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (510) can reduce 514 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (985) ~ (all_0_10_10 = e2)
% 20.17/5.34 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (50), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (695) all_0_10_10 = e3
% 20.17/5.34 |
% 20.17/5.34 | Equations (695) can reduce 306 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (306) ~ (all_0_10_10 = e3)
% 20.17/5.34 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (1231), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (730) all_0_10_10 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (730) can reduce 985 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (985) ~ (all_0_10_10 = e2)
% 20.17/5.34 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (1235), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (242) all_0_10_10 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (242) can reduce 221 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (221) ~ (all_0_10_10 = e1)
% 20.17/5.34 | (395) all_0_10_10 = e0
% 20.17/5.34 |
% 20.17/5.34 | Equations (395) can reduce 426 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (222) ~ (all_0_14_14 = e1)
% 20.17/5.34 | (490) all_0_15_15 = e1
% 20.17/5.34 |
% 20.17/5.34 | Combining equations (490,752) yields a new equation:
% 20.17/5.34 | (742) e2 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (742) can reduce 75 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (319) ~ (all_0_22_22 = e3)
% 20.17/5.34 | (171) all_0_23_23 = e3
% 20.17/5.34 |
% 20.17/5.34 | Combining equations (182,171) yields a new equation:
% 20.17/5.34 | (323) e3 = e0
% 20.17/5.34 |
% 20.17/5.34 | Equations (323) can reduce 3 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.34 | (613) all_0_20_20 = e0
% 20.17/5.34 |
% 20.17/5.34 | Equations (613) can reduce 186 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.34 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (467), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (952) all_0_20_20 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (952) can reduce 210 to:
% 20.17/5.34 | (313) ~ (e3 = e1)
% 20.17/5.34 |
% 20.17/5.34 | Simplifying 313 yields:
% 20.17/5.34 | (163) ~ (e3 = e1)
% 20.17/5.34 |
% 20.17/5.34 +-Applying beta-rule and splitting (2092), into two cases.
% 20.17/5.34 |-Branch one:
% 20.17/5.34 | (277) all_0_16_16 = e3
% 20.17/5.34 |
% 20.17/5.34 | Combining equations (685,277) yields a new equation:
% 20.17/5.34 | (352) e3 = e2
% 20.17/5.34 |
% 20.17/5.34 | Equations (352) can reduce 111 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.34 | (327) all_0_20_20 = e3
% 20.17/5.34 |
% 20.17/5.34 | Combining equations (952,327) yields a new equation:
% 20.17/5.34 | (556) e3 = e1
% 20.17/5.34 |
% 20.17/5.34 | Equations (556) can reduce 163 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.34 |-Branch two:
% 20.17/5.34 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.34 | (613) all_0_20_20 = e0
% 20.17/5.34 |
% 20.17/5.34 | Equations (613) can reduce 186 to:
% 20.17/5.34 | (172) $false
% 20.17/5.34 |
% 20.17/5.34 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.35 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (1015), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (360) all_0_17_17 = e3
% 20.17/5.35 |
% 20.17/5.35 | Equations (360) can reduce 315 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.35 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (1031), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (212) all_0_18_18 = e3
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (212,302) yields a new equation:
% 20.17/5.35 | (564) e3 = e0
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 564 yields:
% 20.17/5.35 | (323) e3 = e0
% 20.17/5.35 |
% 20.17/5.35 | Equations (323) can reduce 3 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (211) ~ (all_0_18_18 = e3)
% 20.17/5.35 | (331) all_0_19_19 = e3
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (458,331) yields a new equation:
% 20.17/5.35 | (556) e3 = e1
% 20.17/5.35 |
% 20.17/5.35 | Equations (556) can reduce 163 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (688) ~ (all_0_16_16 = e2)
% 20.17/5.35 | (335) all_0_20_20 = e2
% 20.17/5.35 |
% 20.17/5.35 | Equations (335) can reduce 466 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (2491) all_0_7_7 = e2
% 20.17/5.35 | (199) ~ (all_0_8_8 = e0)
% 20.17/5.35 |
% 20.17/5.35 | Equations (322) can reduce 199 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (2086) all_0_6_6 = e2
% 20.17/5.35 | (2495) ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e0)
% 20.17/5.35 |
% 20.17/5.35 | From (2086) and (1796) follows:
% 20.17/5.35 | (2496) op(all_0_20_20, e3) = e2
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (2495), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (2497) ~ (all_0_7_7 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (1793) can reduce 2497 to:
% 20.17/5.35 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (146), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (621) all_0_8_8 = e1
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (322,621) yields a new equation:
% 20.17/5.35 | (543) e1 = e0
% 20.17/5.35 |
% 20.17/5.35 | Equations (543) can reduce 157 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (196) ~ (all_0_8_8 = e1)
% 20.17/5.35 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (778), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (389) all_0_12_12 = e1
% 20.17/5.35 |
% 20.17/5.35 | Equations (389) can reduce 60 to:
% 20.17/5.35 | (1573) ~ (all_0_14_14 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 1573 yields:
% 20.17/5.35 | (222) ~ (all_0_14_14 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (389) can reduce 45 to:
% 20.17/5.35 | (2507) ~ (all_0_16_16 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 2507 yields:
% 20.17/5.35 | (770) ~ (all_0_16_16 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (389) can reduce 606 to:
% 20.17/5.35 | (157) ~ (e1 = e0)
% 20.17/5.35 |
% 20.17/5.35 | From (389) and (162) follows:
% 20.17/5.35 | (2143) op(e2, e3) = e1
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (134), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (516) all_0_14_14 = e3
% 20.17/5.35 |
% 20.17/5.35 | Equations (516) can reduce 40 to:
% 20.17/5.35 | (306) ~ (all_0_10_10 = e3)
% 20.17/5.35 |
% 20.17/5.35 | Equations (516) can reduce 160 to:
% 20.17/5.35 | (318) ~ (all_0_22_22 = e3)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 318 yields:
% 20.17/5.35 | (319) ~ (all_0_22_22 = e3)
% 20.17/5.35 |
% 20.17/5.35 | Equations (516) can reduce 222 to:
% 20.17/5.35 | (163) ~ (e3 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (516) can reduce 470 to:
% 20.17/5.35 | (3) ~ (e3 = e0)
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (77), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (277) all_0_16_16 = e3
% 20.17/5.35 |
% 20.17/5.35 | Equations (277) can reduce 144 to:
% 20.17/5.35 | (2518) ~ (all_0_17_17 = e3)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 2518 yields:
% 20.17/5.35 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.35 |
% 20.17/5.35 | Equations (277) can reduce 101 to:
% 20.17/5.35 | (209) ~ (all_0_20_20 = e3)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 209 yields:
% 20.17/5.35 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.35 |
% 20.17/5.35 | Equations (277) can reduce 770 to:
% 20.17/5.35 | (163) ~ (e3 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (277) can reduce 612 to:
% 20.17/5.35 | (3) ~ (e3 = e0)
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (66), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (492) all_0_8_8 = e2
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (492,322) yields a new equation:
% 20.17/5.35 | (499) e2 = e0
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 499 yields:
% 20.17/5.35 | (500) e2 = e0
% 20.17/5.35 |
% 20.17/5.35 | Equations (500) can reduce 29 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (198) ~ (all_0_8_8 = e2)
% 20.17/5.35 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (107), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (327) all_0_20_20 = e3
% 20.17/5.35 |
% 20.17/5.35 | Equations (327) can reduce 210 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.35 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (133), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (360) all_0_17_17 = e3
% 20.17/5.35 |
% 20.17/5.35 | Equations (360) can reduce 315 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.35 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (363), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (282) all_0_17_17 = e2
% 20.17/5.35 |
% 20.17/5.35 | Equations (282) can reduce 136 to:
% 20.17/5.35 | (383) ~ (all_0_9_9 = e2)
% 20.17/5.35 |
% 20.17/5.35 | Equations (282) can reduce 76 to:
% 20.17/5.35 | (2013) ~ (all_0_21_21 = e2)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 2013 yields:
% 20.17/5.35 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.35 |
% 20.17/5.35 | Equations (282) can reduce 310 to:
% 20.17/5.35 | (75) ~ (e2 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (282) can reduce 1184 to:
% 20.17/5.35 | (29) ~ (e2 = e0)
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (355), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (356) all_0_21_21 = e3
% 20.17/5.35 |
% 20.17/5.35 | Equations (356) can reduce 74 to:
% 20.17/5.35 | (202) ~ (all_0_9_9 = e3)
% 20.17/5.35 |
% 20.17/5.35 | Equations (356) can reduce 514 to:
% 20.17/5.35 | (111) ~ (e3 = e2)
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (21), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (411) all_0_9_9 = e1
% 20.17/5.35 |
% 20.17/5.35 | Equations (411) can reduce 166 to:
% 20.17/5.35 | (2323) ~ (all_0_10_10 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 2323 yields:
% 20.17/5.35 | (221) ~ (all_0_10_10 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (411) can reduce 202 to:
% 20.17/5.35 | (313) ~ (e3 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 313 yields:
% 20.17/5.35 | (163) ~ (e3 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (411) can reduce 383 to:
% 20.17/5.35 | (924) ~ (e2 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 924 yields:
% 20.17/5.35 | (75) ~ (e2 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (411) can reduce 372 to:
% 20.17/5.35 | (157) ~ (e1 = e0)
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (50), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (695) all_0_10_10 = e3
% 20.17/5.35 |
% 20.17/5.35 | Equations (695) can reduce 306 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (306) ~ (all_0_10_10 = e3)
% 20.17/5.35 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (16), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (492) all_0_8_8 = e2
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (492,322) yields a new equation:
% 20.17/5.35 | (499) e2 = e0
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 499 yields:
% 20.17/5.35 | (500) e2 = e0
% 20.17/5.35 |
% 20.17/5.35 | Equations (500) can reduce 29 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (198) ~ (all_0_8_8 = e2)
% 20.17/5.35 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (49), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (242) all_0_10_10 = e1
% 20.17/5.35 |
% 20.17/5.35 | Equations (242) can reduce 221 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (221) ~ (all_0_10_10 = e1)
% 20.17/5.35 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (496), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (235) all_0_9_9 = e2
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (235,411) yields a new equation:
% 20.17/5.35 | (966) e2 = e1
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 966 yields:
% 20.17/5.35 | (742) e2 = e1
% 20.17/5.35 |
% 20.17/5.35 | Equations (742) can reduce 75 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (383) ~ (all_0_9_9 = e2)
% 20.17/5.35 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (745), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (262) all_0_14_14 = e1
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (262,516) yields a new equation:
% 20.17/5.35 | (556) e3 = e1
% 20.17/5.35 |
% 20.17/5.35 | Equations (556) can reduce 163 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (222) ~ (all_0_14_14 = e1)
% 20.17/5.35 | (794) all_0_18_18 = e1 | all_0_22_22 = e1
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (2041), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (730) all_0_10_10 = e2
% 20.17/5.35 |
% 20.17/5.35 | Equations (730) can reduce 72 to:
% 20.17/5.35 | (2581) ~ (all_0_22_22 = e2)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 2581 yields:
% 20.17/5.35 | (531) ~ (all_0_22_22 = e2)
% 20.17/5.35 |
% 20.17/5.35 | Equations (730) can reduce 306 to:
% 20.17/5.35 | (345) ~ (e3 = e2)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 345 yields:
% 20.17/5.35 | (111) ~ (e3 = e2)
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (794), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (220) all_0_18_18 = e1
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (302,220) yields a new equation:
% 20.17/5.35 | (543) e1 = e0
% 20.17/5.35 |
% 20.17/5.35 | Equations (543) can reduce 157 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (275) ~ (all_0_18_18 = e1)
% 20.17/5.35 | (864) all_0_22_22 = e1
% 20.17/5.35 |
% 20.17/5.35 | Equations (864) can reduce 14 to:
% 20.17/5.35 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Equations (864) can reduce 531 to:
% 20.17/5.35 | (924) ~ (e2 = e1)
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 924 yields:
% 20.17/5.35 | (75) ~ (e2 = e1)
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (17), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (335) all_0_20_20 = e2
% 20.17/5.35 |
% 20.17/5.35 | Equations (335) can reduce 963 to:
% 20.17/5.35 | (75) ~ (e2 = e1)
% 20.17/5.35 |
% 20.17/5.35 | From (335) and (2496) follows:
% 20.17/5.35 | (2595) op(e2, e3) = e2
% 20.17/5.35 |
% 20.17/5.35 | Instantiating formula (152) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 20.17/5.35 | (742) e2 = e1
% 20.17/5.35 |
% 20.17/5.35 | Equations (742) can reduce 75 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.35 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (2231), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (385) all_0_12_12 = e2
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (389,385) yields a new equation:
% 20.17/5.35 | (742) e2 = e1
% 20.17/5.35 |
% 20.17/5.35 | Equations (742) can reduce 75 to:
% 20.17/5.35 | (172) $false
% 20.17/5.35 |
% 20.17/5.35 |-The branch is then unsatisfiable
% 20.17/5.35 |-Branch two:
% 20.17/5.35 | (336) ~ (all_0_12_12 = e2)
% 20.17/5.35 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 20.17/5.35 |
% 20.17/5.35 +-Applying beta-rule and splitting (2235), into two cases.
% 20.17/5.35 |-Branch one:
% 20.17/5.35 | (685) all_0_16_16 = e2
% 20.17/5.35 |
% 20.17/5.35 | Combining equations (277,685) yields a new equation:
% 20.17/5.35 | (511) e3 = e2
% 20.17/5.35 |
% 20.17/5.35 | Simplifying 511 yields:
% 20.17/5.35 | (352) e3 = e2
% 20.17/5.36 |
% 20.17/5.36 | Equations (352) can reduce 111 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (688) ~ (all_0_16_16 = e2)
% 20.17/5.36 | (335) all_0_20_20 = e2
% 20.17/5.36 |
% 20.17/5.36 | Equations (335) can reduce 466 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (985) ~ (all_0_10_10 = e2)
% 20.17/5.36 | (414) all_0_11_11 = e2
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (414,399) yields a new equation:
% 20.17/5.36 | (352) e3 = e2
% 20.17/5.36 |
% 20.17/5.36 | Equations (352) can reduce 111 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (423) ~ (all_0_9_9 = e1)
% 20.17/5.36 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (546), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (444) all_0_13_13 = e1
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (444,447) yields a new equation:
% 20.17/5.36 | (542) e1 = e0
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 542 yields:
% 20.17/5.36 | (543) e1 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (543) can reduce 157 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (167) ~ (all_0_13_13 = e1)
% 20.17/5.36 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (550), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (368) all_0_17_17 = e1
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (282,368) yields a new equation:
% 20.17/5.36 | (966) e2 = e1
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 966 yields:
% 20.17/5.36 | (742) e2 = e1
% 20.17/5.36 |
% 20.17/5.36 | Equations (742) can reduce 75 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (310) ~ (all_0_17_17 = e1)
% 20.17/5.36 | (554) all_0_21_21 = e1
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (554,356) yields a new equation:
% 20.17/5.36 | (556) e3 = e1
% 20.17/5.36 |
% 20.17/5.36 | Equations (556) can reduce 163 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.36 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (450), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (560) all_0_22_22 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (560) can reduce 319 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (319) ~ (all_0_22_22 = e3)
% 20.17/5.36 | (171) all_0_23_23 = e3
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (182,171) yields a new equation:
% 20.17/5.36 | (323) e3 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (323) can reduce 3 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (344) ~ (all_0_17_17 = e2)
% 20.17/5.36 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (367), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (368) all_0_17_17 = e1
% 20.17/5.36 |
% 20.17/5.36 | Equations (368) can reduce 310 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (310) ~ (all_0_17_17 = e1)
% 20.17/5.36 | (371) all_0_17_17 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (371) can reduce 1184 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.36 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (1015), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (360) all_0_17_17 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (360) can reduce 144 to:
% 20.17/5.36 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.36 |
% 20.17/5.36 | Equations (360) can reduce 310 to:
% 20.17/5.36 | (163) ~ (e3 = e1)
% 20.17/5.36 |
% 20.17/5.36 | Equations (360) can reduce 1184 to:
% 20.17/5.36 | (3) ~ (e3 = e0)
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (97), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (277) all_0_16_16 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (277) can reduce 208 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.36 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (149), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (200) all_0_8_8 = e3
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (200,322) yields a new equation:
% 20.17/5.36 | (564) e3 = e0
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 564 yields:
% 20.17/5.36 | (323) e3 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (323) can reduce 3 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.36 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (113), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (685) all_0_16_16 = e2
% 20.17/5.36 |
% 20.17/5.36 | Equations (685) can reduce 208 to:
% 20.17/5.36 | (345) ~ (e3 = e2)
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 345 yields:
% 20.17/5.36 | (111) ~ (e3 = e2)
% 20.17/5.36 |
% 20.17/5.36 | Equations (685) can reduce 612 to:
% 20.17/5.36 | (29) ~ (e2 = e0)
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (107), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (327) all_0_20_20 = e3
% 20.17/5.36 |
% 20.17/5.36 | From (327) and (2496) follows:
% 20.17/5.36 | (2668) op(e3, e3) = e2
% 20.17/5.36 |
% 20.17/5.36 | Instantiating formula (152) with e3, e3, e2, e0 and discharging atoms op(e3, e3) = e2, op(e3, e3) = e0, yields:
% 20.17/5.36 | (500) e2 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (500) can reduce 29 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.36 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (70), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (327) all_0_20_20 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (327) can reduce 210 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.36 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (1829), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (254) all_0_12_12 = e3
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (254,389) yields a new equation:
% 20.17/5.36 | (555) e3 = e1
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 555 yields:
% 20.17/5.36 | (556) e3 = e1
% 20.17/5.36 |
% 20.17/5.36 | Equations (556) can reduce 163 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.36 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (2092), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (277) all_0_16_16 = e3
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (685,277) yields a new equation:
% 20.17/5.36 | (352) e3 = e2
% 20.17/5.36 |
% 20.17/5.36 | Equations (352) can reduce 111 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.36 | (327) all_0_20_20 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (327) can reduce 210 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (688) ~ (all_0_16_16 = e2)
% 20.17/5.36 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (1810), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (685) all_0_16_16 = e2
% 20.17/5.36 |
% 20.17/5.36 | Equations (685) can reduce 688 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (688) ~ (all_0_16_16 = e2)
% 20.17/5.36 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (2108), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (305) all_0_16_16 = e1
% 20.17/5.36 |
% 20.17/5.36 | Equations (305) can reduce 770 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (770) ~ (all_0_16_16 = e1)
% 20.17/5.36 | (608) all_0_16_16 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (608) can reduce 612 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.36 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (151), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (338) all_0_9_9 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (338) can reduce 202 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (202) ~ (all_0_9_9 = e3)
% 20.17/5.36 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (97), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (277) all_0_16_16 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (277) can reduce 208 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.36 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (149), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (200) all_0_8_8 = e3
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (200,322) yields a new equation:
% 20.17/5.36 | (564) e3 = e0
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 564 yields:
% 20.17/5.36 | (323) e3 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (323) can reduce 3 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.36 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (322) can reduce 232 to:
% 20.17/5.36 | (189) ~ (e3 = e0)
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 189 yields:
% 20.17/5.36 | (3) ~ (e3 = e0)
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (1810), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (685) all_0_16_16 = e2
% 20.17/5.36 |
% 20.17/5.36 | Equations (685) can reduce 208 to:
% 20.17/5.36 | (345) ~ (e3 = e2)
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 345 yields:
% 20.17/5.36 | (111) ~ (e3 = e2)
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (1829), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (254) all_0_12_12 = e3
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (389,254) yields a new equation:
% 20.17/5.36 | (556) e3 = e1
% 20.17/5.36 |
% 20.17/5.36 | Equations (556) can reduce 163 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.36 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (341), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (347) all_0_13_13 = e3
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (347,447) yields a new equation:
% 20.17/5.36 | (564) e3 = e0
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 564 yields:
% 20.17/5.36 | (323) e3 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (323) can reduce 3 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (337) ~ (all_0_13_13 = e3)
% 20.17/5.36 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (2092), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (277) all_0_16_16 = e3
% 20.17/5.36 |
% 20.17/5.36 | Combining equations (685,277) yields a new equation:
% 20.17/5.36 | (352) e3 = e2
% 20.17/5.36 |
% 20.17/5.36 | Equations (352) can reduce 111 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.36 | (327) all_0_20_20 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (327) can reduce 7 to:
% 20.17/5.36 | (1837) ~ (all_0_21_21 = e3)
% 20.17/5.36 |
% 20.17/5.36 | Simplifying 1837 yields:
% 20.17/5.36 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (350), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (360) all_0_17_17 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (360) can reduce 315 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.36 | (356) all_0_21_21 = e3
% 20.17/5.36 |
% 20.17/5.36 | Equations (356) can reduce 449 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (688) ~ (all_0_16_16 = e2)
% 20.17/5.36 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (2108), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (305) all_0_16_16 = e1
% 20.17/5.36 |
% 20.17/5.36 | Equations (305) can reduce 770 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (770) ~ (all_0_16_16 = e1)
% 20.17/5.36 | (608) all_0_16_16 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (608) can reduce 612 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (308) ~ (all_0_14_14 = e3)
% 20.17/5.36 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (519), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (522) all_0_14_14 = e2
% 20.17/5.36 |
% 20.17/5.36 | Equations (522) can reduce 521 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (521) ~ (all_0_14_14 = e2)
% 20.17/5.36 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (525), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (262) all_0_14_14 = e1
% 20.17/5.36 |
% 20.17/5.36 | Equations (262) can reduce 222 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (222) ~ (all_0_14_14 = e1)
% 20.17/5.36 | (529) all_0_14_14 = e0
% 20.17/5.36 |
% 20.17/5.36 | Equations (529) can reduce 470 to:
% 20.17/5.36 | (172) $false
% 20.17/5.36 |
% 20.17/5.36 |-The branch is then unsatisfiable
% 20.17/5.36 |-Branch two:
% 20.17/5.36 | (307) ~ (all_0_12_12 = e1)
% 20.17/5.36 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 20.17/5.36 |
% 20.17/5.36 +-Applying beta-rule and splitting (2268), into two cases.
% 20.17/5.36 |-Branch one:
% 20.17/5.36 | (305) all_0_16_16 = e1
% 20.17/5.36 |
% 20.17/5.37 | Equations (305) can reduce 770 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (770) ~ (all_0_16_16 = e1)
% 20.17/5.37 | (952) all_0_20_20 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (952) can reduce 963 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (2769) all_0_7_7 = e1
% 20.17/5.37 | (199) ~ (all_0_8_8 = e0)
% 20.17/5.37 |
% 20.17/5.37 | Equations (322) can reduce 199 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (2031) all_0_4_4 = e3
% 20.17/5.37 | (2773) ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e0)
% 20.17/5.37 |
% 20.17/5.37 | From (2031) and (1795) follows:
% 20.17/5.37 | (2774) op(all_0_21_21, e2) = e3
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (2773), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (2775) ~ (all_0_5_5 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Equations (1794) can reduce 2775 to:
% 20.17/5.37 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (21), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (411) all_0_9_9 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (411) can reduce 166 to:
% 20.17/5.37 | (2323) ~ (all_0_10_10 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 2323 yields:
% 20.17/5.37 | (221) ~ (all_0_10_10 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Equations (411) can reduce 74 to:
% 20.17/5.37 | (2325) ~ (all_0_21_21 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 2325 yields:
% 20.17/5.37 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Equations (411) can reduce 202 to:
% 20.17/5.37 | (313) ~ (e3 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 313 yields:
% 20.17/5.37 | (163) ~ (e3 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Equations (411) can reduce 372 to:
% 20.17/5.37 | (157) ~ (e1 = e0)
% 20.17/5.37 |
% 20.17/5.37 | From (411) and (126) follows:
% 20.17/5.37 | (2785) op(e3, e2) = e1
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (50), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (695) all_0_10_10 = e3
% 20.17/5.37 |
% 20.17/5.37 | Equations (695) can reduce 306 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (306) ~ (all_0_10_10 = e3)
% 20.17/5.37 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (1231), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (730) all_0_10_10 = e2
% 20.17/5.37 |
% 20.17/5.37 | Equations (730) can reduce 72 to:
% 20.17/5.37 | (2581) ~ (all_0_22_22 = e2)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 2581 yields:
% 20.17/5.37 | (531) ~ (all_0_22_22 = e2)
% 20.17/5.37 |
% 20.17/5.37 | Equations (730) can reduce 306 to:
% 20.17/5.37 | (345) ~ (e3 = e2)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 345 yields:
% 20.17/5.37 | (111) ~ (e3 = e2)
% 20.17/5.37 |
% 20.17/5.37 | Equations (730) can reduce 221 to:
% 20.17/5.37 | (75) ~ (e2 = e1)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (78), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (254) all_0_12_12 = e3
% 20.17/5.37 |
% 20.17/5.37 | Equations (254) can reduce 60 to:
% 20.17/5.37 | (2797) ~ (all_0_14_14 = e3)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 2797 yields:
% 20.17/5.37 | (308) ~ (all_0_14_14 = e3)
% 20.17/5.37 |
% 20.17/5.37 | Equations (254) can reduce 45 to:
% 20.17/5.37 | (207) ~ (all_0_16_16 = e3)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 207 yields:
% 20.17/5.37 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.37 |
% 20.17/5.37 | Equations (254) can reduce 42 to:
% 20.17/5.37 | (209) ~ (all_0_20_20 = e3)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 209 yields:
% 20.17/5.37 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.37 |
% 20.17/5.37 | Equations (254) can reduce 336 to:
% 20.17/5.37 | (111) ~ (e3 = e2)
% 20.17/5.37 |
% 20.17/5.37 | Equations (254) can reduce 606 to:
% 20.17/5.37 | (3) ~ (e3 = e0)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (148), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (389) all_0_12_12 = e1
% 20.17/5.37 |
% 20.17/5.37 | Combining equations (254,389) yields a new equation:
% 20.17/5.37 | (555) e3 = e1
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 555 yields:
% 20.17/5.37 | (556) e3 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (556) can reduce 163 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (307) ~ (all_0_12_12 = e1)
% 20.17/5.37 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (254) can reduce 307 to:
% 20.17/5.37 | (163) ~ (e3 = e1)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (146), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (621) all_0_8_8 = e1
% 20.17/5.37 |
% 20.17/5.37 | Combining equations (621,322) yields a new equation:
% 20.17/5.37 | (542) e1 = e0
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 542 yields:
% 20.17/5.37 | (543) e1 = e0
% 20.17/5.37 |
% 20.17/5.37 | Equations (543) can reduce 157 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (196) ~ (all_0_8_8 = e1)
% 20.17/5.37 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (322) can reduce 196 to:
% 20.17/5.37 | (193) ~ (e1 = e0)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 193 yields:
% 20.17/5.37 | (157) ~ (e1 = e0)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (27), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (695) all_0_10_10 = e3
% 20.17/5.37 |
% 20.17/5.37 | Combining equations (730,695) yields a new equation:
% 20.17/5.37 | (352) e3 = e2
% 20.17/5.37 |
% 20.17/5.37 | Equations (352) can reduce 111 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (306) ~ (all_0_10_10 = e3)
% 20.17/5.37 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (77), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (277) all_0_16_16 = e3
% 20.17/5.37 |
% 20.17/5.37 | Equations (277) can reduce 208 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.37 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (778), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (389) all_0_12_12 = e1
% 20.17/5.37 |
% 20.17/5.37 | Combining equations (254,389) yields a new equation:
% 20.17/5.37 | (555) e3 = e1
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 555 yields:
% 20.17/5.37 | (556) e3 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (556) can reduce 163 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (307) ~ (all_0_12_12 = e1)
% 20.17/5.37 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (1399), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (444) all_0_13_13 = e1
% 20.17/5.37 |
% 20.17/5.37 | Combining equations (447,444) yields a new equation:
% 20.17/5.37 | (543) e1 = e0
% 20.17/5.37 |
% 20.17/5.37 | Equations (543) can reduce 157 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (167) ~ (all_0_13_13 = e1)
% 20.17/5.37 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (698), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (516) all_0_14_14 = e3
% 20.17/5.37 |
% 20.17/5.37 | Equations (516) can reduce 308 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (308) ~ (all_0_14_14 = e3)
% 20.17/5.37 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (2268), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (305) all_0_16_16 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (305) can reduce 770 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (770) ~ (all_0_16_16 = e1)
% 20.17/5.37 | (952) all_0_20_20 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (952) can reduce 7 to:
% 20.17/5.37 | (2325) ~ (all_0_21_21 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 2325 yields:
% 20.17/5.37 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Equations (952) can reduce 210 to:
% 20.17/5.37 | (313) ~ (e3 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 313 yields:
% 20.17/5.37 | (163) ~ (e3 = e1)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (1015), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (360) all_0_17_17 = e3
% 20.17/5.37 |
% 20.17/5.37 | Equations (360) can reduce 1184 to:
% 20.17/5.37 | (3) ~ (e3 = e0)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (143), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (560) all_0_22_22 = e3
% 20.17/5.37 |
% 20.17/5.37 | Equations (560) can reduce 150 to:
% 20.17/5.37 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.37 |
% 20.17/5.37 | Equations (560) can reduce 188 to:
% 20.17/5.37 | (3) ~ (e3 = e0)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (17), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (335) all_0_20_20 = e2
% 20.17/5.37 |
% 20.17/5.37 | Combining equations (952,335) yields a new equation:
% 20.17/5.37 | (742) e2 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (742) can reduce 75 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.37 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (509), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (510) all_0_21_21 = e2
% 20.17/5.37 |
% 20.17/5.37 | From (510) and (2774) follows:
% 20.17/5.37 | (2863) op(e2, e2) = e3
% 20.17/5.37 |
% 20.17/5.37 | Instantiating formula (152) with e2, e2, e3, e0 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e0, yields:
% 20.17/5.37 | (323) e3 = e0
% 20.17/5.37 |
% 20.17/5.37 | Equations (323) can reduce 3 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.37 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (4), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (356) all_0_21_21 = e3
% 20.17/5.37 |
% 20.17/5.37 | Equations (356) can reduce 449 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.37 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (2018), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (510) all_0_21_21 = e2
% 20.17/5.37 |
% 20.17/5.37 | Equations (510) can reduce 514 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.37 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (2022), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (554) all_0_21_21 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (554) can reduce 969 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.37 | (1185) all_0_21_21 = e0
% 20.17/5.37 |
% 20.17/5.37 | Equations (1185) can reduce 187 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (319) ~ (all_0_22_22 = e3)
% 20.17/5.37 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (703), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (212) all_0_18_18 = e3
% 20.17/5.37 |
% 20.17/5.37 | Combining equations (302,212) yields a new equation:
% 20.17/5.37 | (323) e3 = e0
% 20.17/5.37 |
% 20.17/5.37 | Equations (323) can reduce 3 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (211) ~ (all_0_18_18 = e3)
% 20.17/5.37 | (560) all_0_22_22 = e3
% 20.17/5.37 |
% 20.17/5.37 | Equations (560) can reduce 319 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.37 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (151), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (338) all_0_9_9 = e3
% 20.17/5.37 |
% 20.17/5.37 | Combining equations (338,411) yields a new equation:
% 20.17/5.37 | (555) e3 = e1
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 555 yields:
% 20.17/5.37 | (556) e3 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (556) can reduce 163 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (202) ~ (all_0_9_9 = e3)
% 20.17/5.37 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (703), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (212) all_0_18_18 = e3
% 20.17/5.37 |
% 20.17/5.37 | Combining equations (302,212) yields a new equation:
% 20.17/5.37 | (323) e3 = e0
% 20.17/5.37 |
% 20.17/5.37 | Equations (323) can reduce 3 to:
% 20.17/5.37 | (172) $false
% 20.17/5.37 |
% 20.17/5.37 |-The branch is then unsatisfiable
% 20.17/5.37 |-Branch two:
% 20.17/5.37 | (211) ~ (all_0_18_18 = e3)
% 20.17/5.37 | (560) all_0_22_22 = e3
% 20.17/5.37 |
% 20.17/5.37 | Equations (560) can reduce 160 to:
% 20.17/5.37 | (308) ~ (all_0_14_14 = e3)
% 20.17/5.37 |
% 20.17/5.37 | Equations (560) can reduce 188 to:
% 20.17/5.37 | (3) ~ (e3 = e0)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (1715), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (262) all_0_14_14 = e1
% 20.17/5.37 |
% 20.17/5.37 | Equations (262) can reduce 308 to:
% 20.17/5.37 | (313) ~ (e3 = e1)
% 20.17/5.37 |
% 20.17/5.37 | Simplifying 313 yields:
% 20.17/5.37 | (163) ~ (e3 = e1)
% 20.17/5.37 |
% 20.17/5.37 +-Applying beta-rule and splitting (341), into two cases.
% 20.17/5.37 |-Branch one:
% 20.17/5.37 | (347) all_0_13_13 = e3
% 20.17/5.38 |
% 20.17/5.38 | Combining equations (447,347) yields a new equation:
% 20.17/5.38 | (323) e3 = e0
% 20.17/5.38 |
% 20.17/5.38 | Equations (323) can reduce 3 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (337) ~ (all_0_13_13 = e3)
% 20.17/5.38 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.38 |
% 20.17/5.38 | Equations (447) can reduce 337 to:
% 20.17/5.38 | (189) ~ (e3 = e0)
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 189 yields:
% 20.17/5.38 | (3) ~ (e3 = e0)
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (1031), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (212) all_0_18_18 = e3
% 20.17/5.38 |
% 20.17/5.38 | Combining equations (302,212) yields a new equation:
% 20.17/5.38 | (323) e3 = e0
% 20.17/5.38 |
% 20.17/5.38 | Equations (323) can reduce 3 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (211) ~ (all_0_18_18 = e3)
% 20.17/5.38 | (331) all_0_19_19 = e3
% 20.17/5.38 |
% 20.17/5.38 | Combining equations (458,331) yields a new equation:
% 20.17/5.38 | (556) e3 = e1
% 20.17/5.38 |
% 20.17/5.38 | Equations (556) can reduce 163 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (222) ~ (all_0_14_14 = e1)
% 20.17/5.38 | (490) all_0_15_15 = e1
% 20.17/5.38 |
% 20.17/5.38 | Combining equations (752,490) yields a new equation:
% 20.17/5.38 | (966) e2 = e1
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 966 yields:
% 20.17/5.38 | (742) e2 = e1
% 20.17/5.38 |
% 20.17/5.38 | Equations (742) can reduce 75 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.38 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (381), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (385) all_0_12_12 = e2
% 20.17/5.38 |
% 20.17/5.38 | Equations (385) can reduce 336 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (336) ~ (all_0_12_12 = e2)
% 20.17/5.38 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (165), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (254) all_0_12_12 = e3
% 20.17/5.38 |
% 20.17/5.38 | Equations (254) can reduce 206 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.38 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (388), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (389) all_0_12_12 = e1
% 20.17/5.38 |
% 20.17/5.38 | Equations (389) can reduce 45 to:
% 20.17/5.38 | (2507) ~ (all_0_16_16 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 2507 yields:
% 20.17/5.38 | (770) ~ (all_0_16_16 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Equations (389) can reduce 42 to:
% 20.17/5.38 | (2141) ~ (all_0_20_20 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 2141 yields:
% 20.17/5.38 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Equations (389) can reduce 606 to:
% 20.17/5.38 | (157) ~ (e1 = e0)
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (714), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (347) all_0_13_13 = e3
% 20.17/5.38 |
% 20.17/5.38 | Combining equations (447,347) yields a new equation:
% 20.17/5.38 | (323) e3 = e0
% 20.17/5.38 |
% 20.17/5.38 | Equations (323) can reduce 3 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (337) ~ (all_0_13_13 = e3)
% 20.17/5.38 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (134), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (516) all_0_14_14 = e3
% 20.17/5.38 |
% 20.17/5.38 | Equations (516) can reduce 160 to:
% 20.17/5.38 | (318) ~ (all_0_22_22 = e3)
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 318 yields:
% 20.17/5.38 | (319) ~ (all_0_22_22 = e3)
% 20.17/5.38 |
% 20.17/5.38 | Equations (516) can reduce 470 to:
% 20.17/5.38 | (3) ~ (e3 = e0)
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (128), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (952) all_0_20_20 = e1
% 20.17/5.38 |
% 20.17/5.38 | Equations (952) can reduce 963 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.38 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (143), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (560) all_0_22_22 = e3
% 20.17/5.38 |
% 20.17/5.38 | Equations (560) can reduce 319 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (319) ~ (all_0_22_22 = e3)
% 20.17/5.38 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (964), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (554) all_0_21_21 = e1
% 20.17/5.38 |
% 20.17/5.38 | Equations (554) can reduce 969 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.38 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (970), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (864) all_0_22_22 = e1
% 20.17/5.38 |
% 20.17/5.38 | Equations (864) can reduce 14 to:
% 20.17/5.38 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Equations (864) can reduce 150 to:
% 20.17/5.38 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Equations (864) can reduce 319 to:
% 20.17/5.38 | (313) ~ (e3 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 313 yields:
% 20.17/5.38 | (163) ~ (e3 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Equations (864) can reduce 531 to:
% 20.17/5.38 | (924) ~ (e2 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 924 yields:
% 20.17/5.38 | (75) ~ (e2 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Equations (864) can reduce 188 to:
% 20.17/5.38 | (157) ~ (e1 = e0)
% 20.17/5.38 |
% 20.17/5.38 | From (864) and (1537) follows:
% 20.17/5.38 | (2971) op(e1, e1) = all_0_2_2
% 20.17/5.38 |
% 20.17/5.38 | Instantiating formula (152) with e1, e1, all_0_2_2, e0 and discharging atoms op(e1, e1) = all_0_2_2, op(e1, e1) = e0, yields:
% 20.17/5.38 | (2972) all_0_2_2 = e0
% 20.17/5.38 |
% 20.17/5.38 | Equations (2972) can reduce 1797 to:
% 20.17/5.38 | (191) ~ (e2 = e0)
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 191 yields:
% 20.17/5.38 | (29) ~ (e2 = e0)
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (77), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (277) all_0_16_16 = e3
% 20.17/5.38 |
% 20.17/5.38 | Equations (277) can reduce 144 to:
% 20.17/5.38 | (2518) ~ (all_0_17_17 = e3)
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 2518 yields:
% 20.17/5.38 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.38 |
% 20.17/5.38 | Equations (277) can reduce 770 to:
% 20.17/5.38 | (163) ~ (e3 = e1)
% 20.17/5.38 |
% 20.17/5.38 | Equations (277) can reduce 612 to:
% 20.17/5.38 | (3) ~ (e3 = e0)
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (151), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (338) all_0_9_9 = e3
% 20.17/5.38 |
% 20.17/5.38 | Combining equations (338,411) yields a new equation:
% 20.17/5.38 | (555) e3 = e1
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 555 yields:
% 20.17/5.38 | (556) e3 = e1
% 20.17/5.38 |
% 20.17/5.38 | Equations (556) can reduce 163 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (202) ~ (all_0_9_9 = e3)
% 20.17/5.38 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (341), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (347) all_0_13_13 = e3
% 20.17/5.38 |
% 20.17/5.38 | Combining equations (347,447) yields a new equation:
% 20.17/5.38 | (564) e3 = e0
% 20.17/5.38 |
% 20.17/5.38 | Simplifying 564 yields:
% 20.17/5.38 | (323) e3 = e0
% 20.17/5.38 |
% 20.17/5.38 | Equations (323) can reduce 3 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (337) ~ (all_0_13_13 = e3)
% 20.17/5.38 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (350), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (360) all_0_17_17 = e3
% 20.17/5.38 |
% 20.17/5.38 | Equations (360) can reduce 315 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.38 | (356) all_0_21_21 = e3
% 20.17/5.38 |
% 20.17/5.38 | Equations (356) can reduce 969 to:
% 20.17/5.38 | (163) ~ (e3 = e1)
% 20.17/5.38 |
% 20.17/5.38 | From (356) and (2774) follows:
% 20.17/5.38 | (2997) op(e3, e2) = e3
% 20.17/5.38 |
% 20.17/5.38 | Instantiating formula (152) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 20.17/5.38 | (556) e3 = e1
% 20.17/5.38 |
% 20.17/5.38 | Equations (556) can reduce 163 to:
% 20.17/5.38 | (172) $false
% 20.17/5.38 |
% 20.17/5.38 |-The branch is then unsatisfiable
% 20.17/5.38 |-Branch two:
% 20.17/5.38 | (208) ~ (all_0_16_16 = e3)
% 20.17/5.38 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (99), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (223), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (224), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.38 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.17/5.38 |
% 20.17/5.38 +-Applying beta-rule and splitting (225), into two cases.
% 20.17/5.38 |-Branch one:
% 20.17/5.39 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (226), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (227), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (228), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (229), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (230), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.17/5.39 |
% 20.17/5.39 | Applying alpha-rule on (231) yields:
% 20.17/5.39 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.39 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.17/5.39 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.17/5.39 | (235) all_0_9_9 = e2
% 20.17/5.39 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (235,411) yields a new equation:
% 20.17/5.39 | (966) e2 = e1
% 20.17/5.39 |
% 20.17/5.39 | Simplifying 966 yields:
% 20.17/5.39 | (742) e2 = e1
% 20.17/5.39 |
% 20.17/5.39 | Equations (742) can reduce 75 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.17/5.39 |
% 20.17/5.39 | Applying alpha-rule on (238) yields:
% 20.17/5.39 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.39 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.17/5.39 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.17/5.39 | (242) all_0_10_10 = e1
% 20.17/5.39 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (242,730) yields a new equation:
% 20.17/5.39 | (742) e2 = e1
% 20.17/5.39 |
% 20.17/5.39 | Equations (742) can reduce 75 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.17/5.39 |
% 20.17/5.39 | Applying alpha-rule on (245) yields:
% 20.17/5.39 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.39 | (247) all_0_11_11 = e0
% 20.17/5.39 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.17/5.39 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.17/5.39 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (247,399) yields a new equation:
% 20.17/5.39 | (323) e3 = e0
% 20.17/5.39 |
% 20.17/5.39 | Equations (323) can reduce 3 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.17/5.39 |
% 20.17/5.39 | Applying alpha-rule on (252) yields:
% 20.17/5.39 | (253) ~ (all_0_13_13 = e2)
% 20.17/5.39 | (254) all_0_12_12 = e3
% 20.17/5.39 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.17/5.39 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.17/5.39 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (254,389) yields a new equation:
% 20.17/5.39 | (555) e3 = e1
% 20.17/5.39 |
% 20.17/5.39 | Simplifying 555 yields:
% 20.17/5.39 | (556) e3 = e1
% 20.17/5.39 |
% 20.17/5.39 | Equations (556) can reduce 163 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.17/5.39 |
% 20.17/5.39 | Applying alpha-rule on (259) yields:
% 20.17/5.39 | (253) ~ (all_0_13_13 = e2)
% 20.17/5.39 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.17/5.39 | (262) all_0_14_14 = e1
% 20.17/5.39 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.17/5.39 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (516,262) yields a new equation:
% 20.17/5.39 | (555) e3 = e1
% 20.17/5.39 |
% 20.17/5.39 | Simplifying 555 yields:
% 20.17/5.39 | (556) e3 = e1
% 20.17/5.39 |
% 20.17/5.39 | Equations (556) can reduce 163 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.17/5.39 |
% 20.17/5.39 | Applying alpha-rule on (266) yields:
% 20.17/5.39 | (253) ~ (all_0_13_13 = e2)
% 20.17/5.39 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.17/5.39 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.17/5.39 | (270) all_0_15_15 = e0
% 20.17/5.39 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (752,270) yields a new equation:
% 20.17/5.39 | (499) e2 = e0
% 20.17/5.39 |
% 20.17/5.39 | Simplifying 499 yields:
% 20.17/5.39 | (500) e2 = e0
% 20.17/5.39 |
% 20.17/5.39 | Equations (500) can reduce 29 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.17/5.39 |
% 20.17/5.39 | Applying alpha-rule on (273) yields:
% 20.17/5.39 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.17/5.39 | (275) ~ (all_0_18_18 = e1)
% 20.17/5.39 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.17/5.39 | (277) all_0_16_16 = e3
% 20.17/5.39 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.17/5.39 |
% 20.17/5.39 | Equations (277) can reduce 208 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.17/5.39 |
% 20.17/5.39 | Applying alpha-rule on (280) yields:
% 20.17/5.39 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.17/5.39 | (282) all_0_17_17 = e2
% 20.17/5.39 | (275) ~ (all_0_18_18 = e1)
% 20.17/5.39 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.17/5.39 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.17/5.39 |
% 20.17/5.39 | Equations (282) can reduce 76 to:
% 20.17/5.39 | (2013) ~ (all_0_21_21 = e2)
% 20.17/5.39 |
% 20.17/5.39 | Simplifying 2013 yields:
% 20.17/5.39 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (4), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (356) all_0_21_21 = e3
% 20.17/5.39 |
% 20.17/5.39 | Equations (356) can reduce 7 to:
% 20.17/5.39 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.39 |
% 20.17/5.39 | Equations (356) can reduce 969 to:
% 20.17/5.39 | (163) ~ (e3 = e1)
% 20.17/5.39 |
% 20.17/5.39 | Equations (356) can reduce 187 to:
% 20.17/5.39 | (3) ~ (e3 = e0)
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (149), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (200) all_0_8_8 = e3
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (200,322) yields a new equation:
% 20.17/5.39 | (564) e3 = e0
% 20.17/5.39 |
% 20.17/5.39 | Simplifying 564 yields:
% 20.17/5.39 | (323) e3 = e0
% 20.17/5.39 |
% 20.17/5.39 | Equations (323) can reduce 3 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (232) ~ (all_0_8_8 = e3)
% 20.17/5.39 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 20.17/5.39 |
% 20.17/5.39 | Equations (322) can reduce 232 to:
% 20.17/5.39 | (189) ~ (e3 = e0)
% 20.17/5.39 |
% 20.17/5.39 | Simplifying 189 yields:
% 20.17/5.39 | (3) ~ (e3 = e0)
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (70), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (327) all_0_20_20 = e3
% 20.17/5.39 |
% 20.17/5.39 | Equations (327) can reduce 210 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (210) ~ (all_0_20_20 = e3)
% 20.17/5.39 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (17), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (335) all_0_20_20 = e2
% 20.17/5.39 |
% 20.17/5.39 | Equations (335) can reduce 210 to:
% 20.17/5.39 | (345) ~ (e3 = e2)
% 20.17/5.39 |
% 20.17/5.39 | Simplifying 345 yields:
% 20.17/5.39 | (111) ~ (e3 = e2)
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (1015), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (360) all_0_17_17 = e3
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (282,360) yields a new equation:
% 20.17/5.39 | (352) e3 = e2
% 20.17/5.39 |
% 20.17/5.39 | Equations (352) can reduce 111 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (315) ~ (all_0_17_17 = e3)
% 20.17/5.39 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (1829), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (254) all_0_12_12 = e3
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (389,254) yields a new equation:
% 20.17/5.39 | (556) e3 = e1
% 20.17/5.39 |
% 20.17/5.39 | Equations (556) can reduce 163 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (206) ~ (all_0_12_12 = e3)
% 20.17/5.39 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 20.17/5.39 |
% 20.17/5.39 | Equations (389) can reduce 206 to:
% 20.17/5.39 | (313) ~ (e3 = e1)
% 20.17/5.39 |
% 20.17/5.39 | Simplifying 313 yields:
% 20.17/5.39 | (163) ~ (e3 = e1)
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (1031), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (212) all_0_18_18 = e3
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (302,212) yields a new equation:
% 20.17/5.39 | (323) e3 = e0
% 20.17/5.39 |
% 20.17/5.39 | Equations (323) can reduce 3 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (211) ~ (all_0_18_18 = e3)
% 20.17/5.39 | (331) all_0_19_19 = e3
% 20.17/5.39 |
% 20.17/5.39 | Combining equations (458,331) yields a new equation:
% 20.17/5.39 | (556) e3 = e1
% 20.17/5.39 |
% 20.17/5.39 | Equations (556) can reduce 163 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.39 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (330), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (335) all_0_20_20 = e2
% 20.17/5.39 |
% 20.17/5.39 | Equations (335) can reduce 466 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (466) ~ (all_0_20_20 = e2)
% 20.17/5.39 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (467), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (952) all_0_20_20 = e1
% 20.17/5.39 |
% 20.17/5.39 | Equations (952) can reduce 963 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (963) ~ (all_0_20_20 = e1)
% 20.17/5.39 | (613) all_0_20_20 = e0
% 20.17/5.39 |
% 20.17/5.39 | Equations (613) can reduce 186 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (449) ~ (all_0_21_21 = e3)
% 20.17/5.39 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.39 |
% 20.17/5.39 +-Applying beta-rule and splitting (2018), into two cases.
% 20.17/5.39 |-Branch one:
% 20.17/5.39 | (510) all_0_21_21 = e2
% 20.17/5.39 |
% 20.17/5.39 | Equations (510) can reduce 514 to:
% 20.17/5.39 | (172) $false
% 20.17/5.39 |
% 20.17/5.39 |-The branch is then unsatisfiable
% 20.17/5.39 |-Branch two:
% 20.17/5.39 | (514) ~ (all_0_21_21 = e2)
% 20.17/5.40 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 20.17/5.40 |
% 20.17/5.40 +-Applying beta-rule and splitting (2022), into two cases.
% 20.17/5.40 |-Branch one:
% 20.17/5.40 | (554) all_0_21_21 = e1
% 20.17/5.40 |
% 20.17/5.40 | Equations (554) can reduce 969 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (969) ~ (all_0_21_21 = e1)
% 20.17/5.40 | (1185) all_0_21_21 = e0
% 20.17/5.40 |
% 20.17/5.40 | Equations (1185) can reduce 187 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.17/5.40 |
% 20.17/5.40 | Applying alpha-rule on (287) yields:
% 20.17/5.40 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.17/5.40 | (275) ~ (all_0_18_18 = e1)
% 20.17/5.40 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.17/5.40 | (291) all_0_19_19 = e0
% 20.17/5.40 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.17/5.40 |
% 20.17/5.40 | Combining equations (291,458) yields a new equation:
% 20.17/5.40 | (543) e1 = e0
% 20.17/5.40 |
% 20.17/5.40 | Equations (543) can reduce 157 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 20.17/5.40 |
% 20.17/5.40 | Applying alpha-rule on (294) yields:
% 20.17/5.40 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 20.17/5.40 | (296) ~ (all_0_23_23 = e0)
% 20.17/5.40 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 20.17/5.40 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 20.17/5.40 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 20.17/5.40 |
% 20.17/5.40 | Equations (182) can reduce 296 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (975) ~ (all_0_22_22 = e1)
% 20.17/5.40 | (179) all_0_23_23 = e1
% 20.17/5.40 |
% 20.17/5.40 | Combining equations (182,179) yields a new equation:
% 20.17/5.40 | (543) e1 = e0
% 20.17/5.40 |
% 20.17/5.40 | Equations (543) can reduce 157 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (308) ~ (all_0_14_14 = e3)
% 20.17/5.40 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 20.17/5.40 |
% 20.17/5.40 +-Applying beta-rule and splitting (1007), into two cases.
% 20.17/5.40 |-Branch one:
% 20.17/5.40 | (516) all_0_14_14 = e3
% 20.17/5.40 |
% 20.17/5.40 | Equations (516) can reduce 308 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (308) ~ (all_0_14_14 = e3)
% 20.17/5.40 | (726) all_0_15_15 = e3
% 20.17/5.40 |
% 20.17/5.40 | Combining equations (752,726) yields a new equation:
% 20.17/5.40 | (352) e3 = e2
% 20.17/5.40 |
% 20.17/5.40 | Equations (352) can reduce 111 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (307) ~ (all_0_12_12 = e1)
% 20.17/5.40 | (392) all_0_12_12 = e0
% 20.17/5.40 |
% 20.17/5.40 | Equations (392) can reduce 606 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (985) ~ (all_0_10_10 = e2)
% 20.17/5.40 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 20.17/5.40 |
% 20.17/5.40 +-Applying beta-rule and splitting (1235), into two cases.
% 20.17/5.40 |-Branch one:
% 20.17/5.40 | (242) all_0_10_10 = e1
% 20.17/5.40 |
% 20.17/5.40 | Equations (242) can reduce 221 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (221) ~ (all_0_10_10 = e1)
% 20.17/5.40 | (395) all_0_10_10 = e0
% 20.17/5.40 |
% 20.17/5.40 | Equations (395) can reduce 426 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (423) ~ (all_0_9_9 = e1)
% 20.17/5.40 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 20.17/5.40 |
% 20.17/5.40 +-Applying beta-rule and splitting (546), into two cases.
% 20.17/5.40 |-Branch one:
% 20.17/5.40 | (444) all_0_13_13 = e1
% 20.17/5.40 |
% 20.17/5.40 | Combining equations (447,444) yields a new equation:
% 20.17/5.40 | (543) e1 = e0
% 20.17/5.40 |
% 20.17/5.40 | Equations (543) can reduce 157 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (167) ~ (all_0_13_13 = e1)
% 20.17/5.40 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 20.17/5.40 |
% 20.17/5.40 +-Applying beta-rule and splitting (550), into two cases.
% 20.17/5.40 |-Branch one:
% 20.17/5.40 | (368) all_0_17_17 = e1
% 20.17/5.40 |
% 20.17/5.40 | Equations (368) can reduce 310 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (310) ~ (all_0_17_17 = e1)
% 20.17/5.40 | (554) all_0_21_21 = e1
% 20.17/5.40 |
% 20.17/5.40 | Equations (554) can reduce 969 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (3186) all_0_5_5 = e1
% 20.17/5.40 | (373) ~ (all_0_13_13 = e0)
% 20.17/5.40 |
% 20.17/5.40 | Equations (447) can reduce 373 to:
% 20.17/5.40 | (172) $false
% 20.17/5.40 |
% 20.17/5.40 |-The branch is then unsatisfiable
% 20.17/5.40 |-Branch two:
% 20.17/5.40 | (3189) all_0_2_2 = e2
% 20.17/5.40 | (3190) ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e0)
% 20.17/5.40 |
% 20.17/5.40 | From (3189) and (1537) follows:
% 20.17/5.40 | (3191) op(all_0_22_22, e1) = e2
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (3190), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (3192) ~ (all_0_3_3 = e3)
% 20.62/5.40 |
% 20.62/5.40 | Equations (1536) can reduce 3192 to:
% 20.62/5.40 | (319) ~ (all_0_22_22 = e3)
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (27), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (695) all_0_10_10 = e3
% 20.62/5.40 |
% 20.62/5.40 | Equations (695) can reduce 306 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (306) ~ (all_0_10_10 = e3)
% 20.62/5.40 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (698), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (516) all_0_14_14 = e3
% 20.62/5.40 |
% 20.62/5.40 | Equations (516) can reduce 40 to:
% 20.62/5.40 | (306) ~ (all_0_10_10 = e3)
% 20.62/5.40 |
% 20.62/5.40 | Equations (516) can reduce 60 to:
% 20.62/5.40 | (206) ~ (all_0_12_12 = e3)
% 20.62/5.40 |
% 20.62/5.40 | Equations (516) can reduce 521 to:
% 20.62/5.40 | (111) ~ (e3 = e2)
% 20.62/5.40 |
% 20.62/5.40 | From (516) and (57) follows:
% 20.62/5.40 | (3202) op(e2, e1) = e3
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (78), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (254) all_0_12_12 = e3
% 20.62/5.40 |
% 20.62/5.40 | Equations (254) can reduce 206 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (206) ~ (all_0_12_12 = e3)
% 20.62/5.40 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (148), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (389) all_0_12_12 = e1
% 20.62/5.40 |
% 20.62/5.40 | Equations (389) can reduce 206 to:
% 20.62/5.40 | (313) ~ (e3 = e1)
% 20.62/5.40 |
% 20.62/5.40 | Simplifying 313 yields:
% 20.62/5.40 | (163) ~ (e3 = e1)
% 20.62/5.40 |
% 20.62/5.40 | Equations (389) can reduce 336 to:
% 20.62/5.40 | (924) ~ (e2 = e1)
% 20.62/5.40 |
% 20.62/5.40 | Simplifying 924 yields:
% 20.62/5.40 | (75) ~ (e2 = e1)
% 20.62/5.40 |
% 20.62/5.40 | Equations (389) can reduce 606 to:
% 20.62/5.40 | (157) ~ (e1 = e0)
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (68), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (730) all_0_10_10 = e2
% 20.62/5.40 |
% 20.62/5.40 | Equations (730) can reduce 426 to:
% 20.62/5.40 | (29) ~ (e2 = e0)
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (49), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (242) all_0_10_10 = e1
% 20.62/5.40 |
% 20.62/5.40 | Combining equations (242,730) yields a new equation:
% 20.62/5.40 | (742) e2 = e1
% 20.62/5.40 |
% 20.62/5.40 | Equations (742) can reduce 75 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (221) ~ (all_0_10_10 = e1)
% 20.62/5.40 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (47), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (621) all_0_8_8 = e1
% 20.62/5.40 |
% 20.62/5.40 | Combining equations (621,322) yields a new equation:
% 20.62/5.40 | (542) e1 = e0
% 20.62/5.40 |
% 20.62/5.40 | Simplifying 542 yields:
% 20.62/5.40 | (543) e1 = e0
% 20.62/5.40 |
% 20.62/5.40 | Equations (543) can reduce 157 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (196) ~ (all_0_8_8 = e1)
% 20.62/5.40 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 20.62/5.40 |
% 20.62/5.40 | Equations (322) can reduce 196 to:
% 20.62/5.40 | (193) ~ (e1 = e0)
% 20.62/5.40 |
% 20.62/5.40 | Simplifying 193 yields:
% 20.62/5.40 | (157) ~ (e1 = e0)
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (745), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (262) all_0_14_14 = e1
% 20.62/5.40 |
% 20.62/5.40 | Combining equations (516,262) yields a new equation:
% 20.62/5.40 | (555) e3 = e1
% 20.62/5.40 |
% 20.62/5.40 | Simplifying 555 yields:
% 20.62/5.40 | (556) e3 = e1
% 20.62/5.40 |
% 20.62/5.40 | Equations (556) can reduce 163 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (222) ~ (all_0_14_14 = e1)
% 20.62/5.40 | (794) all_0_18_18 = e1 | all_0_22_22 = e1
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (794), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (220) all_0_18_18 = e1
% 20.62/5.40 |
% 20.62/5.40 | Combining equations (220,302) yields a new equation:
% 20.62/5.40 | (542) e1 = e0
% 20.62/5.40 |
% 20.62/5.40 | Simplifying 542 yields:
% 20.62/5.40 | (543) e1 = e0
% 20.62/5.40 |
% 20.62/5.40 | Equations (543) can reduce 157 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.40 | (864) all_0_22_22 = e1
% 20.62/5.40 |
% 20.62/5.40 | From (864) and (3191) follows:
% 20.62/5.40 | (3240) op(e1, e1) = e2
% 20.62/5.40 |
% 20.62/5.40 | Instantiating formula (152) with e1, e1, e2, e0 and discharging atoms op(e1, e1) = e2, op(e1, e1) = e0, yields:
% 20.62/5.40 | (500) e2 = e0
% 20.62/5.40 |
% 20.62/5.40 | Equations (500) can reduce 29 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (985) ~ (all_0_10_10 = e2)
% 20.62/5.40 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (986), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (522) all_0_14_14 = e2
% 20.62/5.40 |
% 20.62/5.40 | Combining equations (516,522) yields a new equation:
% 20.62/5.40 | (511) e3 = e2
% 20.62/5.40 |
% 20.62/5.40 | Simplifying 511 yields:
% 20.62/5.40 | (352) e3 = e2
% 20.62/5.40 |
% 20.62/5.40 | Equations (352) can reduce 111 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (521) ~ (all_0_14_14 = e2)
% 20.62/5.40 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (50), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (695) all_0_10_10 = e3
% 20.62/5.40 |
% 20.62/5.40 | Equations (695) can reduce 306 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (306) ~ (all_0_10_10 = e3)
% 20.62/5.40 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (16), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (492) all_0_8_8 = e2
% 20.62/5.40 |
% 20.62/5.40 | Combining equations (492,322) yields a new equation:
% 20.62/5.40 | (499) e2 = e0
% 20.62/5.40 |
% 20.62/5.40 | Simplifying 499 yields:
% 20.62/5.40 | (500) e2 = e0
% 20.62/5.40 |
% 20.62/5.40 | Equations (500) can reduce 29 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (198) ~ (all_0_8_8 = e2)
% 20.62/5.40 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (1231), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (730) all_0_10_10 = e2
% 20.62/5.40 |
% 20.62/5.40 | Equations (730) can reduce 985 to:
% 20.62/5.40 | (172) $false
% 20.62/5.40 |
% 20.62/5.40 |-The branch is then unsatisfiable
% 20.62/5.40 |-Branch two:
% 20.62/5.40 | (985) ~ (all_0_10_10 = e2)
% 20.62/5.40 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 20.62/5.40 |
% 20.62/5.40 +-Applying beta-rule and splitting (496), into two cases.
% 20.62/5.40 |-Branch one:
% 20.62/5.40 | (235) all_0_9_9 = e2
% 20.62/5.40 |
% 20.62/5.40 | Equations (235) can reduce 136 to:
% 20.62/5.41 | (2237) ~ (all_0_17_17 = e2)
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 2237 yields:
% 20.62/5.41 | (344) ~ (all_0_17_17 = e2)
% 20.62/5.41 |
% 20.62/5.41 | Equations (235) can reduce 372 to:
% 20.62/5.41 | (29) ~ (e2 = e0)
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (999), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (216) all_0_18_18 = e2
% 20.62/5.41 |
% 20.62/5.41 | Combining equations (216,302) yields a new equation:
% 20.62/5.41 | (499) e2 = e0
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 499 yields:
% 20.62/5.41 | (500) e2 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (500) can reduce 29 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (195) ~ (all_0_18_18 = e2)
% 20.62/5.41 | (520) all_0_22_22 = e2
% 20.62/5.41 |
% 20.62/5.41 | Equations (520) can reduce 72 to:
% 20.62/5.41 | (985) ~ (all_0_10_10 = e2)
% 20.62/5.41 |
% 20.62/5.41 | Equations (520) can reduce 150 to:
% 20.62/5.41 | (514) ~ (all_0_21_21 = e2)
% 20.62/5.41 |
% 20.62/5.41 | Equations (520) can reduce 188 to:
% 20.62/5.41 | (29) ~ (e2 = e0)
% 20.62/5.41 |
% 20.62/5.41 | From (520) and (3191) follows:
% 20.62/5.41 | (3278) op(e2, e1) = e2
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (113), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (685) all_0_16_16 = e2
% 20.62/5.41 |
% 20.62/5.41 | Equations (685) can reduce 144 to:
% 20.62/5.41 | (2237) ~ (all_0_17_17 = e2)
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 2237 yields:
% 20.62/5.41 | (344) ~ (all_0_17_17 = e2)
% 20.62/5.41 |
% 20.62/5.41 | Equations (685) can reduce 101 to:
% 20.62/5.41 | (1813) ~ (all_0_20_20 = e2)
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 1813 yields:
% 20.62/5.41 | (466) ~ (all_0_20_20 = e2)
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (133), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (360) all_0_17_17 = e3
% 20.62/5.41 |
% 20.62/5.41 | Equations (360) can reduce 76 to:
% 20.62/5.41 | (1837) ~ (all_0_21_21 = e3)
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 1837 yields:
% 20.62/5.41 | (449) ~ (all_0_21_21 = e3)
% 20.62/5.41 |
% 20.62/5.41 | Equations (360) can reduce 344 to:
% 20.62/5.41 | (111) ~ (e3 = e2)
% 20.62/5.41 |
% 20.62/5.41 | Equations (360) can reduce 1184 to:
% 20.62/5.41 | (3) ~ (e3 = e0)
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (4), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (356) all_0_21_21 = e3
% 20.62/5.41 |
% 20.62/5.41 | Equations (356) can reduce 449 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (449) ~ (all_0_21_21 = e3)
% 20.62/5.41 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (70), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (327) all_0_20_20 = e3
% 20.62/5.41 |
% 20.62/5.41 | Equations (327) can reduce 466 to:
% 20.62/5.41 | (111) ~ (e3 = e2)
% 20.62/5.41 |
% 20.62/5.41 | Instantiating formula (152) with e2, e1, e2, e3 and discharging atoms op(e2, e1) = e3, op(e2, e1) = e2, yields:
% 20.62/5.41 | (352) e3 = e2
% 20.62/5.41 |
% 20.62/5.41 | Equations (352) can reduce 111 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (210) ~ (all_0_20_20 = e3)
% 20.62/5.41 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (2018), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (510) all_0_21_21 = e2
% 20.62/5.41 |
% 20.62/5.41 | Equations (510) can reduce 514 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (514) ~ (all_0_21_21 = e2)
% 20.62/5.41 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (149), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (200) all_0_8_8 = e3
% 20.62/5.41 |
% 20.62/5.41 | Combining equations (200,322) yields a new equation:
% 20.62/5.41 | (564) e3 = e0
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 564 yields:
% 20.62/5.41 | (323) e3 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (323) can reduce 3 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.41 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 20.62/5.41 |
% 20.62/5.41 | Equations (322) can reduce 232 to:
% 20.62/5.41 | (189) ~ (e3 = e0)
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 189 yields:
% 20.62/5.41 | (3) ~ (e3 = e0)
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (107), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (327) all_0_20_20 = e3
% 20.62/5.41 |
% 20.62/5.41 | Equations (327) can reduce 210 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (210) ~ (all_0_20_20 = e3)
% 20.62/5.41 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (2022), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (554) all_0_21_21 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (554) can reduce 449 to:
% 20.62/5.41 | (313) ~ (e3 = e1)
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 313 yields:
% 20.62/5.41 | (163) ~ (e3 = e1)
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (355), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (356) all_0_21_21 = e3
% 20.62/5.41 |
% 20.62/5.41 | Combining equations (356,554) yields a new equation:
% 20.62/5.41 | (555) e3 = e1
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 555 yields:
% 20.62/5.41 | (556) e3 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (556) can reduce 163 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (449) ~ (all_0_21_21 = e3)
% 20.62/5.41 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (450), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (560) all_0_22_22 = e3
% 20.62/5.41 |
% 20.62/5.41 | Combining equations (520,560) yields a new equation:
% 20.62/5.41 | (352) e3 = e2
% 20.62/5.41 |
% 20.62/5.41 | Equations (352) can reduce 111 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (319) ~ (all_0_22_22 = e3)
% 20.62/5.41 | (171) all_0_23_23 = e3
% 20.62/5.41 |
% 20.62/5.41 | Combining equations (171,182) yields a new equation:
% 20.62/5.41 | (564) e3 = e0
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 564 yields:
% 20.62/5.41 | (323) e3 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (323) can reduce 3 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (969) ~ (all_0_21_21 = e1)
% 20.62/5.41 | (1185) all_0_21_21 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (1185) can reduce 187 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (315) ~ (all_0_17_17 = e3)
% 20.62/5.41 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (363), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (282) all_0_17_17 = e2
% 20.62/5.41 |
% 20.62/5.41 | Equations (282) can reduce 344 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (344) ~ (all_0_17_17 = e2)
% 20.62/5.41 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (367), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (368) all_0_17_17 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (368) can reduce 310 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (310) ~ (all_0_17_17 = e1)
% 20.62/5.41 | (371) all_0_17_17 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (371) can reduce 1184 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (688) ~ (all_0_16_16 = e2)
% 20.62/5.41 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (49), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (242) all_0_10_10 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (242) can reduce 985 to:
% 20.62/5.41 | (924) ~ (e2 = e1)
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 924 yields:
% 20.62/5.41 | (75) ~ (e2 = e1)
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (689), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (282) all_0_17_17 = e2
% 20.62/5.41 |
% 20.62/5.41 | Equations (282) can reduce 344 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (344) ~ (all_0_17_17 = e2)
% 20.62/5.41 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (694), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (216) all_0_18_18 = e2
% 20.62/5.41 |
% 20.62/5.41 | Combining equations (302,216) yields a new equation:
% 20.62/5.41 | (500) e2 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (500) can reduce 29 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (195) ~ (all_0_18_18 = e2)
% 20.62/5.41 | (342) all_0_19_19 = e2
% 20.62/5.41 |
% 20.62/5.41 | Combining equations (342,458) yields a new equation:
% 20.62/5.41 | (966) e2 = e1
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 966 yields:
% 20.62/5.41 | (742) e2 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (742) can reduce 75 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (221) ~ (all_0_10_10 = e1)
% 20.62/5.41 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (1235), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (242) all_0_10_10 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (242) can reduce 221 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (221) ~ (all_0_10_10 = e1)
% 20.62/5.41 | (395) all_0_10_10 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (395) can reduce 426 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (383) ~ (all_0_9_9 = e2)
% 20.62/5.41 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (69), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (338) all_0_9_9 = e3
% 20.62/5.41 |
% 20.62/5.41 | Equations (338) can reduce 202 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (202) ~ (all_0_9_9 = e3)
% 20.62/5.41 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (1235), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (242) all_0_10_10 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (242) can reduce 166 to:
% 20.62/5.41 | (423) ~ (all_0_9_9 = e1)
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (406), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (235) all_0_9_9 = e2
% 20.62/5.41 |
% 20.62/5.41 | Equations (235) can reduce 383 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (383) ~ (all_0_9_9 = e2)
% 20.62/5.41 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (21), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (411) all_0_9_9 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (411) can reduce 423 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (423) ~ (all_0_9_9 = e1)
% 20.62/5.41 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (410), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (411) all_0_9_9 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (411) can reduce 423 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (423) ~ (all_0_9_9 = e1)
% 20.62/5.41 | (424) all_0_9_9 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (424) can reduce 372 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (221) ~ (all_0_10_10 = e1)
% 20.62/5.41 | (395) all_0_10_10 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (395) can reduce 426 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (307) ~ (all_0_12_12 = e1)
% 20.62/5.41 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (146), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (621) all_0_8_8 = e1
% 20.62/5.41 |
% 20.62/5.41 | Combining equations (621,322) yields a new equation:
% 20.62/5.41 | (542) e1 = e0
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 542 yields:
% 20.62/5.41 | (543) e1 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (543) can reduce 157 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (196) ~ (all_0_8_8 = e1)
% 20.62/5.41 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 20.62/5.41 |
% 20.62/5.41 | Equations (322) can reduce 196 to:
% 20.62/5.41 | (193) ~ (e1 = e0)
% 20.62/5.41 |
% 20.62/5.41 | Simplifying 193 yields:
% 20.62/5.41 | (157) ~ (e1 = e0)
% 20.62/5.41 |
% 20.62/5.41 +-Applying beta-rule and splitting (1399), into two cases.
% 20.62/5.41 |-Branch one:
% 20.62/5.41 | (444) all_0_13_13 = e1
% 20.62/5.41 |
% 20.62/5.41 | Combining equations (447,444) yields a new equation:
% 20.62/5.41 | (543) e1 = e0
% 20.62/5.41 |
% 20.62/5.41 | Equations (543) can reduce 157 to:
% 20.62/5.41 | (172) $false
% 20.62/5.41 |
% 20.62/5.41 |-The branch is then unsatisfiable
% 20.62/5.41 |-Branch two:
% 20.62/5.41 | (167) ~ (all_0_13_13 = e1)
% 20.62/5.41 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 20.62/5.41 |
% 20.62/5.42 +-Applying beta-rule and splitting (1715), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (262) all_0_14_14 = e1
% 20.62/5.42 |
% 20.62/5.42 | Combining equations (516,262) yields a new equation:
% 20.62/5.42 | (555) e3 = e1
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 555 yields:
% 20.62/5.42 | (556) e3 = e1
% 20.62/5.42 |
% 20.62/5.42 | Equations (556) can reduce 163 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (222) ~ (all_0_14_14 = e1)
% 20.62/5.42 | (490) all_0_15_15 = e1
% 20.62/5.42 |
% 20.62/5.42 | Combining equations (752,490) yields a new equation:
% 20.62/5.42 | (966) e2 = e1
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 966 yields:
% 20.62/5.42 | (742) e2 = e1
% 20.62/5.42 |
% 20.62/5.42 | Equations (742) can reduce 75 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (308) ~ (all_0_14_14 = e3)
% 20.62/5.42 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (703), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (212) all_0_18_18 = e3
% 20.62/5.42 |
% 20.62/5.42 | Combining equations (212,302) yields a new equation:
% 20.62/5.42 | (564) e3 = e0
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 564 yields:
% 20.62/5.42 | (323) e3 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (323) can reduce 3 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (211) ~ (all_0_18_18 = e3)
% 20.62/5.42 | (560) all_0_22_22 = e3
% 20.62/5.42 |
% 20.62/5.42 | Equations (560) can reduce 319 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (3427) all_0_3_3 = e3
% 20.62/5.42 | (197) ~ (all_0_18_18 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Equations (302) can reduce 197 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (373) ~ (all_0_13_13 = e0)
% 20.62/5.42 | (3431) all_0_14_14 = e0 | all_0_15_15 = e0
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (3431), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (529) all_0_14_14 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (529) can reduce 470 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (470) ~ (all_0_14_14 = e0)
% 20.62/5.42 | (270) all_0_15_15 = e0
% 20.62/5.42 |
% 20.62/5.42 | Combining equations (752,270) yields a new equation:
% 20.62/5.42 | (499) e2 = e0
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 499 yields:
% 20.62/5.42 | (500) e2 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (500) can reduce 29 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (347) all_0_13_13 = e3
% 20.62/5.42 | (385) all_0_12_12 = e2
% 20.62/5.42 |
% 20.62/5.42 | Equations (385) can reduce 336 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (725) ~ (all_0_15_15 = e2)
% 20.62/5.42 | (3443) all_0_19_19 = e2 | all_0_23_23 = e2
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (140), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (373) ~ (all_0_13_13 = e0)
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (1766), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (447) all_0_13_13 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (447) can reduce 373 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (373) ~ (all_0_13_13 = e0)
% 20.62/5.42 | (3431) all_0_14_14 = e0 | all_0_15_15 = e0
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (3431), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (529) all_0_14_14 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (529) can reduce 470 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (470) ~ (all_0_14_14 = e0)
% 20.62/5.42 | (270) all_0_15_15 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (270) can reduce 184 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (447) all_0_13_13 = e0
% 20.62/5.42 | (752) all_0_15_15 = e2
% 20.62/5.42 |
% 20.62/5.42 | Equations (752) can reduce 725 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (621) all_0_8_8 = e1
% 20.62/5.42 | (695) all_0_10_10 = e3
% 20.62/5.42 |
% 20.62/5.42 | Equations (621) can reduce 116 to:
% 20.62/5.42 | (3459) ~ (all_0_9_9 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 3459 yields:
% 20.62/5.42 | (423) ~ (all_0_9_9 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Equations (621) can reduce 124 to:
% 20.62/5.42 | (412) ~ (all_0_11_11 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 412 yields:
% 20.62/5.42 | (413) ~ (all_0_11_11 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Equations (621) can reduce 125 to:
% 20.62/5.42 | (2141) ~ (all_0_20_20 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 2141 yields:
% 20.62/5.42 | (963) ~ (all_0_20_20 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Equations (695) can reduce 166 to:
% 20.62/5.42 | (202) ~ (all_0_9_9 = e3)
% 20.62/5.42 |
% 20.62/5.42 | Equations (695) can reduce 23 to:
% 20.62/5.42 | (203) ~ (all_0_11_11 = e3)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 203 yields:
% 20.62/5.42 | (204) ~ (all_0_11_11 = e3)
% 20.62/5.42 |
% 20.62/5.42 | Equations (695) can reduce 51 to:
% 20.62/5.42 | (680) ~ (all_0_18_18 = e3)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 680 yields:
% 20.62/5.42 | (211) ~ (all_0_18_18 = e3)
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (63), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (322) all_0_8_8 = e0
% 20.62/5.42 |
% 20.62/5.42 | Combining equations (322,621) yields a new equation:
% 20.62/5.42 | (543) e1 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (543) can reduce 157 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (199) ~ (all_0_8_8 = e0)
% 20.62/5.42 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (95), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (399) all_0_11_11 = e3
% 20.62/5.42 |
% 20.62/5.42 | Equations (399) can reduce 204 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (204) ~ (all_0_11_11 = e3)
% 20.62/5.42 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (402), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (414) all_0_11_11 = e2
% 20.62/5.42 |
% 20.62/5.42 | Equations (414) can reduce 54 to:
% 20.62/5.42 | (383) ~ (all_0_9_9 = e2)
% 20.62/5.42 |
% 20.62/5.42 | Equations (414) can reduce 129 to:
% 20.62/5.42 | (724) ~ (all_0_15_15 = e2)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 724 yields:
% 20.62/5.42 | (725) ~ (all_0_15_15 = e2)
% 20.62/5.42 |
% 20.62/5.42 | Equations (414) can reduce 183 to:
% 20.62/5.42 | (29) ~ (e2 = e0)
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (432), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (424) all_0_9_9 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (424) can reduce 22 to:
% 20.62/5.42 | (1374) ~ (all_0_13_13 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 1374 yields:
% 20.62/5.42 | (373) ~ (all_0_13_13 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Equations (424) can reduce 202 to:
% 20.62/5.42 | (189) ~ (e3 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 189 yields:
% 20.62/5.42 | (3) ~ (e3 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Equations (424) can reduce 383 to:
% 20.62/5.42 | (191) ~ (e2 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 191 yields:
% 20.62/5.42 | (29) ~ (e2 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Equations (424) can reduce 423 to:
% 20.62/5.42 | (193) ~ (e1 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 193 yields:
% 20.62/5.42 | (157) ~ (e1 = e0)
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (94), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (197) ~ (all_0_18_18 = e0)
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (117), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (608) all_0_16_16 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (608) can reduce 28 to:
% 20.62/5.42 | (673) ~ (all_0_18_18 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 673 yields:
% 20.62/5.42 | (197) ~ (all_0_18_18 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Equations (608) can reduce 138 to:
% 20.62/5.42 | (675) ~ (all_0_19_19 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 675 yields:
% 20.62/5.42 | (185) ~ (all_0_19_19 = e0)
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (33), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (212) all_0_18_18 = e3
% 20.62/5.42 |
% 20.62/5.42 | Equations (212) can reduce 211 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (211) ~ (all_0_18_18 = e3)
% 20.62/5.42 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (215), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (216) all_0_18_18 = e2
% 20.62/5.42 |
% 20.62/5.42 | Equations (216) can reduce 195 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (195) ~ (all_0_18_18 = e2)
% 20.62/5.42 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (219), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (220) all_0_18_18 = e1
% 20.62/5.42 |
% 20.62/5.42 | Equations (220) can reduce 81 to:
% 20.62/5.42 | (222) ~ (all_0_14_14 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Equations (220) can reduce 119 to:
% 20.62/5.42 | (3509) ~ (all_0_22_22 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 3509 yields:
% 20.62/5.42 | (975) ~ (all_0_22_22 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Equations (220) can reduce 211 to:
% 20.62/5.42 | (313) ~ (e3 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 313 yields:
% 20.62/5.42 | (163) ~ (e3 = e1)
% 20.62/5.42 |
% 20.62/5.42 | Equations (220) can reduce 197 to:
% 20.62/5.42 | (157) ~ (e1 = e0)
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (128), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (952) all_0_20_20 = e1
% 20.62/5.42 |
% 20.62/5.42 | Equations (952) can reduce 963 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (963) ~ (all_0_20_20 = e1)
% 20.62/5.42 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (964), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (554) all_0_21_21 = e1
% 20.62/5.42 |
% 20.62/5.42 | Equations (554) can reduce 104 to:
% 20.62/5.42 | (167) ~ (all_0_13_13 = e1)
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (113), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (685) all_0_16_16 = e2
% 20.62/5.42 |
% 20.62/5.42 | Combining equations (608,685) yields a new equation:
% 20.62/5.42 | (500) e2 = e0
% 20.62/5.42 |
% 20.62/5.42 | Equations (500) can reduce 29 to:
% 20.62/5.42 | (172) $false
% 20.62/5.42 |
% 20.62/5.42 |-The branch is then unsatisfiable
% 20.62/5.42 |-Branch two:
% 20.62/5.42 | (688) ~ (all_0_16_16 = e2)
% 20.62/5.42 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 20.62/5.42 |
% 20.62/5.42 | Equations (608) can reduce 688 to:
% 20.62/5.42 | (191) ~ (e2 = e0)
% 20.62/5.42 |
% 20.62/5.42 | Simplifying 191 yields:
% 20.62/5.42 | (29) ~ (e2 = e0)
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (99), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.42 |
% 20.62/5.42 +-Applying beta-rule and splitting (223), into two cases.
% 20.62/5.42 |-Branch one:
% 20.62/5.42 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (224), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (225), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (226), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (227), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (228), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (229), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (230), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.43 |
% 20.62/5.43 | Applying alpha-rule on (231) yields:
% 20.62/5.43 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.43 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.43 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.43 | (235) all_0_9_9 = e2
% 20.62/5.43 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.43 |
% 20.62/5.43 | Combining equations (424,235) yields a new equation:
% 20.62/5.43 | (500) e2 = e0
% 20.62/5.43 |
% 20.62/5.43 | Equations (500) can reduce 29 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.43 |
% 20.62/5.43 | Applying alpha-rule on (238) yields:
% 20.62/5.43 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.43 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.43 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.43 | (242) all_0_10_10 = e1
% 20.62/5.43 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.43 |
% 20.62/5.43 | Combining equations (242,695) yields a new equation:
% 20.62/5.43 | (556) e3 = e1
% 20.62/5.43 |
% 20.62/5.43 | Equations (556) can reduce 163 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.43 |
% 20.62/5.43 | Applying alpha-rule on (245) yields:
% 20.62/5.43 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.43 | (247) all_0_11_11 = e0
% 20.62/5.43 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.43 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.43 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.43 |
% 20.62/5.43 | Combining equations (414,247) yields a new equation:
% 20.62/5.43 | (499) e2 = e0
% 20.62/5.43 |
% 20.62/5.43 | Simplifying 499 yields:
% 20.62/5.43 | (500) e2 = e0
% 20.62/5.43 |
% 20.62/5.43 | Equations (500) can reduce 29 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.43 |
% 20.62/5.43 | Applying alpha-rule on (252) yields:
% 20.62/5.43 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.43 | (254) all_0_12_12 = e3
% 20.62/5.43 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.43 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.43 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.43 |
% 20.62/5.43 | Equations (254) can reduce 93 to:
% 20.62/5.43 | (1109) ~ (all_0_13_13 = e3)
% 20.62/5.43 |
% 20.62/5.43 | Simplifying 1109 yields:
% 20.62/5.43 | (337) ~ (all_0_13_13 = e3)
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (102), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (347) all_0_13_13 = e3
% 20.62/5.43 |
% 20.62/5.43 | Equations (347) can reduce 337 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (337) ~ (all_0_13_13 = e3)
% 20.62/5.43 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (377), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (382) all_0_13_13 = e2
% 20.62/5.43 |
% 20.62/5.43 | Equations (382) can reduce 253 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.43 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 20.62/5.43 |
% 20.62/5.43 +-Applying beta-rule and splitting (443), into two cases.
% 20.62/5.43 |-Branch one:
% 20.62/5.43 | (444) all_0_13_13 = e1
% 20.62/5.43 |
% 20.62/5.43 | Equations (444) can reduce 167 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (167) ~ (all_0_13_13 = e1)
% 20.62/5.43 | (447) all_0_13_13 = e0
% 20.62/5.43 |
% 20.62/5.43 | Equations (447) can reduce 373 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.43 |
% 20.62/5.43 | Applying alpha-rule on (259) yields:
% 20.62/5.43 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.43 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.43 | (262) all_0_14_14 = e1
% 20.62/5.43 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.43 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.43 |
% 20.62/5.43 | Equations (262) can reduce 222 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.43 |
% 20.62/5.43 | Applying alpha-rule on (266) yields:
% 20.62/5.43 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.43 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.43 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.43 | (270) all_0_15_15 = e0
% 20.62/5.43 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.43 |
% 20.62/5.43 | Equations (270) can reduce 184 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.43 |
% 20.62/5.43 | Applying alpha-rule on (273) yields:
% 20.62/5.43 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.43 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.43 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.43 | (277) all_0_16_16 = e3
% 20.62/5.43 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.43 |
% 20.62/5.43 | Combining equations (608,277) yields a new equation:
% 20.62/5.43 | (323) e3 = e0
% 20.62/5.43 |
% 20.62/5.43 | Equations (323) can reduce 3 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.43 |
% 20.62/5.43 | Applying alpha-rule on (280) yields:
% 20.62/5.43 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.43 | (282) all_0_17_17 = e2
% 20.62/5.43 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.43 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.43 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.43 |
% 20.62/5.43 | Equations (220) can reduce 275 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.43 |
% 20.62/5.43 | Applying alpha-rule on (287) yields:
% 20.62/5.43 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.43 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.43 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.43 | (291) all_0_19_19 = e0
% 20.62/5.43 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.43 |
% 20.62/5.43 | Equations (291) can reduce 185 to:
% 20.62/5.43 | (172) $false
% 20.62/5.43 |
% 20.62/5.43 |-The branch is then unsatisfiable
% 20.62/5.43 |-Branch two:
% 20.62/5.43 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 20.62/5.44 |
% 20.62/5.44 | Applying alpha-rule on (294) yields:
% 20.62/5.44 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 20.62/5.44 | (296) ~ (all_0_23_23 = e0)
% 20.62/5.44 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 20.62/5.44 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 20.62/5.44 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 20.62/5.44 |
% 20.62/5.44 | Equations (182) can reduce 296 to:
% 20.62/5.44 | (172) $false
% 20.62/5.44 |
% 20.62/5.44 |-The branch is then unsatisfiable
% 20.62/5.44 |-Branch two:
% 20.62/5.44 | (969) ~ (all_0_21_21 = e1)
% 20.62/5.44 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (970), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (864) all_0_22_22 = e1
% 20.62/5.44 |
% 20.62/5.44 | Equations (864) can reduce 975 to:
% 20.62/5.44 | (172) $false
% 20.62/5.44 |
% 20.62/5.44 |-The branch is then unsatisfiable
% 20.62/5.44 |-Branch two:
% 20.62/5.44 | (975) ~ (all_0_22_22 = e1)
% 20.62/5.44 | (179) all_0_23_23 = e1
% 20.62/5.44 |
% 20.62/5.44 | Combining equations (179,182) yields a new equation:
% 20.62/5.44 | (542) e1 = e0
% 20.62/5.44 |
% 20.62/5.44 | Simplifying 542 yields:
% 20.62/5.44 | (543) e1 = e0
% 20.62/5.44 |
% 20.62/5.44 | Equations (543) can reduce 157 to:
% 20.62/5.44 | (172) $false
% 20.62/5.44 |
% 20.62/5.44 |-The branch is then unsatisfiable
% 20.62/5.44 |-Branch two:
% 20.62/5.44 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.44 | (302) all_0_18_18 = e0
% 20.62/5.44 |
% 20.62/5.44 | Equations (302) can reduce 197 to:
% 20.62/5.44 | (172) $false
% 20.62/5.44 |
% 20.62/5.44 |-The branch is then unsatisfiable
% 20.62/5.44 |-Branch two:
% 20.62/5.44 | (612) ~ (all_0_16_16 = e0)
% 20.62/5.44 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (33), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (212) all_0_18_18 = e3
% 20.62/5.44 |
% 20.62/5.44 | Equations (212) can reduce 211 to:
% 20.62/5.44 | (172) $false
% 20.62/5.44 |
% 20.62/5.44 |-The branch is then unsatisfiable
% 20.62/5.44 |-Branch two:
% 20.62/5.44 | (211) ~ (all_0_18_18 = e3)
% 20.62/5.44 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (215), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (216) all_0_18_18 = e2
% 20.62/5.44 |
% 20.62/5.44 | Equations (216) can reduce 195 to:
% 20.62/5.44 | (172) $false
% 20.62/5.44 |
% 20.62/5.44 |-The branch is then unsatisfiable
% 20.62/5.44 |-Branch two:
% 20.62/5.44 | (195) ~ (all_0_18_18 = e2)
% 20.62/5.44 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (91), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (322) all_0_8_8 = e0
% 20.62/5.44 |
% 20.62/5.44 | Combining equations (322,621) yields a new equation:
% 20.62/5.44 | (543) e1 = e0
% 20.62/5.44 |
% 20.62/5.44 | Equations (543) can reduce 157 to:
% 20.62/5.44 | (172) $false
% 20.62/5.44 |
% 20.62/5.44 |-The branch is then unsatisfiable
% 20.62/5.44 |-Branch two:
% 20.62/5.44 | (199) ~ (all_0_8_8 = e0)
% 20.62/5.44 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (219), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (220) all_0_18_18 = e1
% 20.62/5.44 |
% 20.62/5.44 | Equations (220) can reduce 81 to:
% 20.62/5.44 | (222) ~ (all_0_14_14 = e1)
% 20.62/5.44 |
% 20.62/5.44 | Equations (220) can reduce 211 to:
% 20.62/5.44 | (313) ~ (e3 = e1)
% 20.62/5.44 |
% 20.62/5.44 | Simplifying 313 yields:
% 20.62/5.44 | (163) ~ (e3 = e1)
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (99), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (223), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (224), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (225), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (226), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (227), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (228), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (229), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.44 |
% 20.62/5.44 +-Applying beta-rule and splitting (230), into two cases.
% 20.62/5.44 |-Branch one:
% 20.62/5.44 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.44 |
% 20.62/5.44 | Applying alpha-rule on (231) yields:
% 20.62/5.44 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.44 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.44 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.44 | (235) all_0_9_9 = e2
% 20.62/5.44 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.44 |
% 20.62/5.44 | Combining equations (424,235) yields a new equation:
% 20.62/5.44 | (500) e2 = e0
% 20.62/5.44 |
% 20.62/5.44 | Equations (500) can reduce 29 to:
% 20.62/5.44 | (172) $false
% 20.62/5.44 |
% 20.62/5.44 |-The branch is then unsatisfiable
% 20.62/5.44 |-Branch two:
% 20.62/5.44 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.44 |
% 20.62/5.44 | Applying alpha-rule on (238) yields:
% 20.62/5.44 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.44 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.44 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.44 | (242) all_0_10_10 = e1
% 20.62/5.44 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.44 |
% 20.62/5.44 | Combining equations (695,242) yields a new equation:
% 20.62/5.44 | (555) e3 = e1
% 20.62/5.44 |
% 20.62/5.44 | Simplifying 555 yields:
% 20.62/5.44 | (556) e3 = e1
% 20.62/5.44 |
% 20.62/5.44 | Equations (556) can reduce 163 to:
% 20.62/5.44 | (172) $false
% 20.62/5.44 |
% 20.62/5.44 |-The branch is then unsatisfiable
% 20.62/5.44 |-Branch two:
% 20.62/5.44 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.44 |
% 20.62/5.44 | Applying alpha-rule on (245) yields:
% 20.62/5.44 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.44 | (247) all_0_11_11 = e0
% 20.62/5.44 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.44 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.44 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.44 |
% 20.62/5.44 | Combining equations (247,414) yields a new equation:
% 20.62/5.45 | (500) e2 = e0
% 20.62/5.45 |
% 20.62/5.45 | Equations (500) can reduce 29 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.45 |
% 20.62/5.45 | Applying alpha-rule on (252) yields:
% 20.62/5.45 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.45 | (254) all_0_12_12 = e3
% 20.62/5.45 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.45 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.45 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.45 |
% 20.62/5.45 +-Applying beta-rule and splitting (326), into two cases.
% 20.62/5.45 |-Branch one:
% 20.62/5.45 | (392) all_0_12_12 = e0
% 20.62/5.45 |
% 20.62/5.45 | Combining equations (254,392) yields a new equation:
% 20.62/5.45 | (564) e3 = e0
% 20.62/5.45 |
% 20.62/5.45 | Simplifying 564 yields:
% 20.62/5.45 | (323) e3 = e0
% 20.62/5.45 |
% 20.62/5.45 | Equations (323) can reduce 3 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (606) ~ (all_0_12_12 = e0)
% 20.62/5.45 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 20.62/5.45 |
% 20.62/5.45 +-Applying beta-rule and splitting (607), into two cases.
% 20.62/5.45 |-Branch one:
% 20.62/5.45 | (608) all_0_16_16 = e0
% 20.62/5.45 |
% 20.62/5.45 | Equations (608) can reduce 612 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (612) ~ (all_0_16_16 = e0)
% 20.62/5.45 | (613) all_0_20_20 = e0
% 20.62/5.45 |
% 20.62/5.45 | Equations (613) can reduce 186 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.45 |
% 20.62/5.45 | Applying alpha-rule on (259) yields:
% 20.62/5.45 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.45 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.45 | (262) all_0_14_14 = e1
% 20.62/5.45 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.45 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.45 |
% 20.62/5.45 | Equations (262) can reduce 222 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.45 |
% 20.62/5.45 | Applying alpha-rule on (266) yields:
% 20.62/5.45 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.45 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.45 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.45 | (270) all_0_15_15 = e0
% 20.62/5.45 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.45 |
% 20.62/5.45 | Equations (270) can reduce 184 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.45 |
% 20.62/5.45 | Applying alpha-rule on (273) yields:
% 20.62/5.45 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.45 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.45 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.45 | (277) all_0_16_16 = e3
% 20.62/5.45 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.45 |
% 20.62/5.45 | Equations (220) can reduce 275 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.45 |
% 20.62/5.45 | Applying alpha-rule on (280) yields:
% 20.62/5.45 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.45 | (282) all_0_17_17 = e2
% 20.62/5.45 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.45 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.45 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.45 |
% 20.62/5.45 | Equations (220) can reduce 275 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.45 |
% 20.62/5.45 | Applying alpha-rule on (287) yields:
% 20.62/5.45 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.45 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.45 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.45 | (291) all_0_19_19 = e0
% 20.62/5.45 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.45 |
% 20.62/5.45 | Equations (291) can reduce 185 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 20.62/5.45 |
% 20.62/5.45 | Applying alpha-rule on (294) yields:
% 20.62/5.45 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 20.62/5.45 | (296) ~ (all_0_23_23 = e0)
% 20.62/5.45 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 20.62/5.45 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 20.62/5.45 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 20.62/5.45 |
% 20.62/5.45 | Equations (182) can reduce 296 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.45 | (302) all_0_18_18 = e0
% 20.62/5.45 |
% 20.62/5.45 | Equations (302) can reduce 197 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (302) all_0_18_18 = e0
% 20.62/5.45 | (458) all_0_19_19 = e1
% 20.62/5.45 |
% 20.62/5.45 | Equations (302) can reduce 81 to:
% 20.62/5.45 | (470) ~ (all_0_14_14 = e0)
% 20.62/5.45 |
% 20.62/5.45 | Equations (458) can reduce 89 to:
% 20.62/5.45 | (536) ~ (all_0_15_15 = e1)
% 20.62/5.45 |
% 20.62/5.45 | Equations (302) can reduce 195 to:
% 20.62/5.45 | (191) ~ (e2 = e0)
% 20.62/5.45 |
% 20.62/5.45 | Simplifying 191 yields:
% 20.62/5.45 | (29) ~ (e2 = e0)
% 20.62/5.45 |
% 20.62/5.45 | Equations (458) can reduce 185 to:
% 20.62/5.45 | (157) ~ (e1 = e0)
% 20.62/5.45 |
% 20.62/5.45 +-Applying beta-rule and splitting (21), into two cases.
% 20.62/5.45 |-Branch one:
% 20.62/5.45 | (411) all_0_9_9 = e1
% 20.62/5.45 |
% 20.62/5.45 | Combining equations (424,411) yields a new equation:
% 20.62/5.45 | (543) e1 = e0
% 20.62/5.45 |
% 20.62/5.45 | Equations (543) can reduce 157 to:
% 20.62/5.45 | (172) $false
% 20.62/5.45 |
% 20.62/5.45 |-The branch is then unsatisfiable
% 20.62/5.45 |-Branch two:
% 20.62/5.45 | (423) ~ (all_0_9_9 = e1)
% 20.62/5.45 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 20.62/5.45 |
% 20.62/5.45 | Equations (424) can reduce 423 to:
% 20.62/5.45 | (193) ~ (e1 = e0)
% 20.62/5.45 |
% 20.62/5.45 | Simplifying 193 yields:
% 20.62/5.45 | (157) ~ (e1 = e0)
% 20.62/5.45 |
% 20.62/5.45 +-Applying beta-rule and splitting (139), into two cases.
% 20.62/5.45 |-Branch one:
% 20.62/5.45 | (726) all_0_15_15 = e3
% 20.62/5.45 |
% 20.62/5.45 | Equations (726) can reduce 30 to:
% 20.62/5.45 | (206) ~ (all_0_12_12 = e3)
% 20.62/5.45 |
% 20.62/5.45 | Equations (726) can reduce 135 to:
% 20.62/5.45 | (337) ~ (all_0_13_13 = e3)
% 20.62/5.45 |
% 20.62/5.45 | Equations (726) can reduce 71 to:
% 20.62/5.45 | (308) ~ (all_0_14_14 = e3)
% 20.62/5.45 |
% 20.62/5.45 | Equations (726) can reduce 536 to:
% 20.62/5.45 | (163) ~ (e3 = e1)
% 20.62/5.45 |
% 20.62/5.45 | Equations (726) can reduce 184 to:
% 20.62/5.45 | (3) ~ (e3 = e0)
% 20.62/5.45 |
% 20.62/5.45 +-Applying beta-rule and splitting (99), into two cases.
% 20.62/5.45 |-Branch one:
% 20.62/5.45 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.45 |
% 20.62/5.45 +-Applying beta-rule and splitting (223), into two cases.
% 20.62/5.45 |-Branch one:
% 20.62/5.45 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.45 |
% 20.62/5.45 +-Applying beta-rule and splitting (224), into two cases.
% 20.62/5.45 |-Branch one:
% 20.62/5.45 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.45 |
% 20.62/5.45 +-Applying beta-rule and splitting (225), into two cases.
% 20.62/5.45 |-Branch one:
% 20.62/5.45 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.45 |
% 20.62/5.45 +-Applying beta-rule and splitting (226), into two cases.
% 20.62/5.45 |-Branch one:
% 20.62/5.45 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (227), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (228), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (229), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (230), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (231) yields:
% 20.62/5.46 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.46 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.46 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.46 | (235) all_0_9_9 = e2
% 20.62/5.46 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.46 |
% 20.62/5.46 | Combining equations (424,235) yields a new equation:
% 20.62/5.46 | (500) e2 = e0
% 20.62/5.46 |
% 20.62/5.46 | Equations (500) can reduce 29 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (238) yields:
% 20.62/5.46 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.46 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.46 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.46 | (242) all_0_10_10 = e1
% 20.62/5.46 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.46 |
% 20.62/5.46 | Combining equations (242,695) yields a new equation:
% 20.62/5.46 | (556) e3 = e1
% 20.62/5.46 |
% 20.62/5.46 | Equations (556) can reduce 163 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (245) yields:
% 20.62/5.46 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.46 | (247) all_0_11_11 = e0
% 20.62/5.46 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.46 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.46 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.46 |
% 20.62/5.46 | Combining equations (414,247) yields a new equation:
% 20.62/5.46 | (499) e2 = e0
% 20.62/5.46 |
% 20.62/5.46 | Simplifying 499 yields:
% 20.62/5.46 | (500) e2 = e0
% 20.62/5.46 |
% 20.62/5.46 | Equations (500) can reduce 29 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (252) yields:
% 20.62/5.46 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.46 | (254) all_0_12_12 = e3
% 20.62/5.46 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.46 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.46 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.46 |
% 20.62/5.46 | Equations (254) can reduce 206 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (259) yields:
% 20.62/5.46 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.46 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.46 | (262) all_0_14_14 = e1
% 20.62/5.46 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.46 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.46 |
% 20.62/5.46 | Equations (262) can reduce 160 to:
% 20.62/5.46 | (3509) ~ (all_0_22_22 = e1)
% 20.62/5.46 |
% 20.62/5.46 | Simplifying 3509 yields:
% 20.62/5.46 | (975) ~ (all_0_22_22 = e1)
% 20.62/5.46 |
% 20.62/5.46 | Equations (262) can reduce 308 to:
% 20.62/5.46 | (313) ~ (e3 = e1)
% 20.62/5.46 |
% 20.62/5.46 | Simplifying 313 yields:
% 20.62/5.46 | (163) ~ (e3 = e1)
% 20.62/5.46 |
% 20.62/5.46 | Equations (262) can reduce 470 to:
% 20.62/5.46 | (157) ~ (e1 = e0)
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (128), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (952) all_0_20_20 = e1
% 20.62/5.46 |
% 20.62/5.46 | Equations (952) can reduce 963 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (963) ~ (all_0_20_20 = e1)
% 20.62/5.46 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (964), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (554) all_0_21_21 = e1
% 20.62/5.46 |
% 20.62/5.46 | Equations (554) can reduce 104 to:
% 20.62/5.46 | (167) ~ (all_0_13_13 = e1)
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (151), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (338) all_0_9_9 = e3
% 20.62/5.46 |
% 20.62/5.46 | Combining equations (338,424) yields a new equation:
% 20.62/5.46 | (564) e3 = e0
% 20.62/5.46 |
% 20.62/5.46 | Simplifying 564 yields:
% 20.62/5.46 | (323) e3 = e0
% 20.62/5.46 |
% 20.62/5.46 | Equations (323) can reduce 3 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (202) ~ (all_0_9_9 = e3)
% 20.62/5.46 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (341), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (347) all_0_13_13 = e3
% 20.62/5.46 |
% 20.62/5.46 | Equations (347) can reduce 337 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (337) ~ (all_0_13_13 = e3)
% 20.62/5.46 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (350), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (360) all_0_17_17 = e3
% 20.62/5.46 |
% 20.62/5.46 | Equations (360) can reduce 5 to:
% 20.62/5.46 | (337) ~ (all_0_13_13 = e3)
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (102), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (347) all_0_13_13 = e3
% 20.62/5.46 |
% 20.62/5.46 | Equations (347) can reduce 337 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (337) ~ (all_0_13_13 = e3)
% 20.62/5.46 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (377), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (382) all_0_13_13 = e2
% 20.62/5.46 |
% 20.62/5.46 | Equations (382) can reduce 253 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.46 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (443), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (444) all_0_13_13 = e1
% 20.62/5.46 |
% 20.62/5.46 | Equations (444) can reduce 167 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (167) ~ (all_0_13_13 = e1)
% 20.62/5.46 | (447) all_0_13_13 = e0
% 20.62/5.46 |
% 20.62/5.46 | Equations (447) can reduce 373 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (315) ~ (all_0_17_17 = e3)
% 20.62/5.46 | (356) all_0_21_21 = e3
% 20.62/5.46 |
% 20.62/5.46 | Combining equations (356,554) yields a new equation:
% 20.62/5.46 | (555) e3 = e1
% 20.62/5.46 |
% 20.62/5.46 | Simplifying 555 yields:
% 20.62/5.46 | (556) e3 = e1
% 20.62/5.46 |
% 20.62/5.46 | Equations (556) can reduce 163 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (969) ~ (all_0_21_21 = e1)
% 20.62/5.46 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (970), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (864) all_0_22_22 = e1
% 20.62/5.46 |
% 20.62/5.46 | Equations (864) can reduce 975 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (975) ~ (all_0_22_22 = e1)
% 20.62/5.46 | (179) all_0_23_23 = e1
% 20.62/5.46 |
% 20.62/5.46 | Combining equations (179,182) yields a new equation:
% 20.62/5.46 | (542) e1 = e0
% 20.62/5.46 |
% 20.62/5.46 | Simplifying 542 yields:
% 20.62/5.46 | (543) e1 = e0
% 20.62/5.46 |
% 20.62/5.46 | Equations (543) can reduce 157 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (266) yields:
% 20.62/5.46 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.46 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.46 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.46 | (270) all_0_15_15 = e0
% 20.62/5.46 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.46 |
% 20.62/5.46 | Combining equations (726,270) yields a new equation:
% 20.62/5.46 | (564) e3 = e0
% 20.62/5.46 |
% 20.62/5.46 | Simplifying 564 yields:
% 20.62/5.46 | (323) e3 = e0
% 20.62/5.46 |
% 20.62/5.46 | Equations (323) can reduce 3 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (273) yields:
% 20.62/5.46 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.46 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.46 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.46 | (277) all_0_16_16 = e3
% 20.62/5.46 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (278), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (196) ~ (all_0_8_8 = e1)
% 20.62/5.46 |
% 20.62/5.46 | Equations (621) can reduce 196 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (621) all_0_8_8 = e1
% 20.62/5.46 | (306) ~ (all_0_10_10 = e3)
% 20.62/5.46 |
% 20.62/5.46 | Equations (695) can reduce 306 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (280) yields:
% 20.62/5.46 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.46 | (282) all_0_17_17 = e2
% 20.62/5.46 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.46 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.46 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.46 |
% 20.62/5.46 +-Applying beta-rule and splitting (278), into two cases.
% 20.62/5.46 |-Branch one:
% 20.62/5.46 | (196) ~ (all_0_8_8 = e1)
% 20.62/5.46 |
% 20.62/5.46 | Equations (621) can reduce 196 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (621) all_0_8_8 = e1
% 20.62/5.46 | (306) ~ (all_0_10_10 = e3)
% 20.62/5.46 |
% 20.62/5.46 | Equations (695) can reduce 306 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (287) yields:
% 20.62/5.46 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.46 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.46 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.46 | (291) all_0_19_19 = e0
% 20.62/5.46 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.46 |
% 20.62/5.46 | Combining equations (458,291) yields a new equation:
% 20.62/5.46 | (542) e1 = e0
% 20.62/5.46 |
% 20.62/5.46 | Simplifying 542 yields:
% 20.62/5.46 | (543) e1 = e0
% 20.62/5.46 |
% 20.62/5.46 | Equations (543) can reduce 157 to:
% 20.62/5.46 | (172) $false
% 20.62/5.46 |
% 20.62/5.46 |-The branch is then unsatisfiable
% 20.62/5.46 |-Branch two:
% 20.62/5.46 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 20.62/5.46 |
% 20.62/5.46 | Applying alpha-rule on (294) yields:
% 20.62/5.46 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 20.62/5.47 | (296) ~ (all_0_23_23 = e0)
% 20.62/5.47 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 20.62/5.47 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 20.62/5.47 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 20.62/5.47 |
% 20.62/5.47 | Equations (182) can reduce 296 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (642) ~ (all_0_15_15 = e3)
% 20.62/5.47 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (729), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (752) all_0_15_15 = e2
% 20.62/5.47 |
% 20.62/5.47 | Equations (752) can reduce 725 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (725) ~ (all_0_15_15 = e2)
% 20.62/5.47 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (755), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (490) all_0_15_15 = e1
% 20.62/5.47 |
% 20.62/5.47 | Equations (490) can reduce 536 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (536) ~ (all_0_15_15 = e1)
% 20.62/5.47 | (270) all_0_15_15 = e0
% 20.62/5.47 |
% 20.62/5.47 | Equations (270) can reduce 184 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (372) ~ (all_0_9_9 = e0)
% 20.62/5.47 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (436), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (395) all_0_10_10 = e0
% 20.62/5.47 |
% 20.62/5.47 | Combining equations (695,395) yields a new equation:
% 20.62/5.47 | (564) e3 = e0
% 20.62/5.47 |
% 20.62/5.47 | Simplifying 564 yields:
% 20.62/5.47 | (323) e3 = e0
% 20.62/5.47 |
% 20.62/5.47 | Equations (323) can reduce 3 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (426) ~ (all_0_10_10 = e0)
% 20.62/5.47 | (247) all_0_11_11 = e0
% 20.62/5.47 |
% 20.62/5.47 | Combining equations (414,247) yields a new equation:
% 20.62/5.47 | (499) e2 = e0
% 20.62/5.47 |
% 20.62/5.47 | Simplifying 499 yields:
% 20.62/5.47 | (500) e2 = e0
% 20.62/5.47 |
% 20.62/5.47 | Equations (500) can reduce 29 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (343) ~ (all_0_11_11 = e2)
% 20.62/5.47 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (417), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (418) all_0_11_11 = e1
% 20.62/5.47 |
% 20.62/5.47 | Equations (418) can reduce 413 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (413) ~ (all_0_11_11 = e1)
% 20.62/5.47 | (247) all_0_11_11 = e0
% 20.62/5.47 |
% 20.62/5.47 | Equations (247) can reduce 183 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (216) all_0_18_18 = e2
% 20.62/5.47 | (368) all_0_17_17 = e1
% 20.62/5.47 |
% 20.62/5.47 | Equations (368) can reduce 5 to:
% 20.62/5.47 | (167) ~ (all_0_13_13 = e1)
% 20.62/5.47 |
% 20.62/5.47 | Equations (216) can reduce 81 to:
% 20.62/5.47 | (521) ~ (all_0_14_14 = e2)
% 20.62/5.47 |
% 20.62/5.47 | Equations (368,216) can reduce 80 to:
% 20.62/5.47 | (924) ~ (e2 = e1)
% 20.62/5.47 |
% 20.62/5.47 | Simplifying 924 yields:
% 20.62/5.47 | (75) ~ (e2 = e1)
% 20.62/5.47 |
% 20.62/5.47 | Equations (368) can reduce 76 to:
% 20.62/5.47 | (2325) ~ (all_0_21_21 = e1)
% 20.62/5.47 |
% 20.62/5.47 | Simplifying 2325 yields:
% 20.62/5.47 | (969) ~ (all_0_21_21 = e1)
% 20.62/5.47 |
% 20.62/5.47 | Equations (216) can reduce 119 to:
% 20.62/5.47 | (2581) ~ (all_0_22_22 = e2)
% 20.62/5.47 |
% 20.62/5.47 | Simplifying 2581 yields:
% 20.62/5.47 | (531) ~ (all_0_22_22 = e2)
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (117), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (608) all_0_16_16 = e0
% 20.62/5.47 |
% 20.62/5.47 | Equations (608) can reduce 121 to:
% 20.62/5.47 | (199) ~ (all_0_8_8 = e0)
% 20.62/5.47 |
% 20.62/5.47 | Equations (608) can reduce 45 to:
% 20.62/5.47 | (606) ~ (all_0_12_12 = e0)
% 20.62/5.47 |
% 20.62/5.47 | Equations (608) can reduce 138 to:
% 20.62/5.47 | (675) ~ (all_0_19_19 = e0)
% 20.62/5.47 |
% 20.62/5.47 | Simplifying 675 yields:
% 20.62/5.47 | (185) ~ (all_0_19_19 = e0)
% 20.62/5.47 |
% 20.62/5.47 | Equations (608) can reduce 101 to:
% 20.62/5.47 | (634) ~ (all_0_20_20 = e0)
% 20.62/5.47 |
% 20.62/5.47 | Simplifying 634 yields:
% 20.62/5.47 | (186) ~ (all_0_20_20 = e0)
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (77), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (277) all_0_16_16 = e3
% 20.62/5.47 |
% 20.62/5.47 | Combining equations (277,608) yields a new equation:
% 20.62/5.47 | (564) e3 = e0
% 20.62/5.47 |
% 20.62/5.47 | Simplifying 564 yields:
% 20.62/5.47 | (323) e3 = e0
% 20.62/5.47 |
% 20.62/5.47 | Equations (323) can reduce 3 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (208) ~ (all_0_16_16 = e3)
% 20.62/5.47 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (1015), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (360) all_0_17_17 = e3
% 20.62/5.47 |
% 20.62/5.47 | Combining equations (368,360) yields a new equation:
% 20.62/5.47 | (556) e3 = e1
% 20.62/5.47 |
% 20.62/5.47 | Equations (556) can reduce 163 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (315) ~ (all_0_17_17 = e3)
% 20.62/5.47 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (1031), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (212) all_0_18_18 = e3
% 20.62/5.47 |
% 20.62/5.47 | Combining equations (216,212) yields a new equation:
% 20.62/5.47 | (352) e3 = e2
% 20.62/5.47 |
% 20.62/5.47 | Equations (352) can reduce 111 to:
% 20.62/5.47 | (172) $false
% 20.62/5.47 |
% 20.62/5.47 |-The branch is then unsatisfiable
% 20.62/5.47 |-Branch two:
% 20.62/5.47 | (211) ~ (all_0_18_18 = e3)
% 20.62/5.47 | (331) all_0_19_19 = e3
% 20.62/5.47 |
% 20.62/5.47 | Equations (331) can reduce 89 to:
% 20.62/5.47 | (642) ~ (all_0_15_15 = e3)
% 20.62/5.47 |
% 20.62/5.47 | Equations (331) can reduce 185 to:
% 20.62/5.47 | (3) ~ (e3 = e0)
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (20), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (196) ~ (all_0_8_8 = e1)
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (73), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (198) ~ (all_0_8_8 = e2)
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (26), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (200) all_0_8_8 = e3
% 20.62/5.47 |
% 20.62/5.47 | Equations (200) can reduce 158 to:
% 20.62/5.47 | (205) ~ (all_0_12_12 = e3)
% 20.62/5.47 |
% 20.62/5.47 | Simplifying 205 yields:
% 20.62/5.47 | (206) ~ (all_0_12_12 = e3)
% 20.62/5.47 |
% 20.62/5.47 | Equations (200) can reduce 199 to:
% 20.62/5.47 | (3) ~ (e3 = e0)
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (99), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (223), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (224), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (225), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (226), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.47 |
% 20.62/5.47 +-Applying beta-rule and splitting (227), into two cases.
% 20.62/5.47 |-Branch one:
% 20.62/5.47 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.48 |
% 20.62/5.48 +-Applying beta-rule and splitting (228), into two cases.
% 20.62/5.48 |-Branch one:
% 20.62/5.48 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.48 |
% 20.62/5.48 +-Applying beta-rule and splitting (229), into two cases.
% 20.62/5.48 |-Branch one:
% 20.62/5.48 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.48 |
% 20.62/5.48 +-Applying beta-rule and splitting (230), into two cases.
% 20.62/5.48 |-Branch one:
% 20.62/5.48 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (231) yields:
% 20.62/5.48 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.48 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.48 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.48 | (235) all_0_9_9 = e2
% 20.62/5.48 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.48 |
% 20.62/5.48 | Equations (200) can reduce 232 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (238) yields:
% 20.62/5.48 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.48 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.48 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.48 | (242) all_0_10_10 = e1
% 20.62/5.48 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.48 |
% 20.62/5.48 | Equations (200) can reduce 232 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (245) yields:
% 20.62/5.48 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.48 | (247) all_0_11_11 = e0
% 20.62/5.48 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.48 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.48 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.48 |
% 20.62/5.48 | Equations (247) can reduce 183 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (252) yields:
% 20.62/5.48 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.48 | (254) all_0_12_12 = e3
% 20.62/5.48 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.48 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.48 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.48 |
% 20.62/5.48 | Equations (254) can reduce 206 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (259) yields:
% 20.62/5.48 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.48 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.48 | (262) all_0_14_14 = e1
% 20.62/5.48 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.48 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.48 |
% 20.62/5.48 +-Applying beta-rule and splitting (257), into two cases.
% 20.62/5.48 |-Branch one:
% 20.62/5.48 | (310) ~ (all_0_17_17 = e1)
% 20.62/5.48 |
% 20.62/5.48 | Equations (368) can reduce 310 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (368) all_0_17_17 = e1
% 20.62/5.48 | (195) ~ (all_0_18_18 = e2)
% 20.62/5.48 |
% 20.62/5.48 | Equations (216) can reduce 195 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (266) yields:
% 20.62/5.48 | (253) ~ (all_0_13_13 = e2)
% 20.62/5.48 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 20.62/5.48 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 20.62/5.48 | (270) all_0_15_15 = e0
% 20.62/5.48 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 20.62/5.48 |
% 20.62/5.48 | Equations (270) can reduce 184 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (273) yields:
% 20.62/5.48 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.48 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.48 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.48 | (277) all_0_16_16 = e3
% 20.62/5.48 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.48 |
% 20.62/5.48 | Combining equations (608,277) yields a new equation:
% 20.62/5.48 | (323) e3 = e0
% 20.62/5.48 |
% 20.62/5.48 | Equations (323) can reduce 3 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (280) yields:
% 20.62/5.48 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.48 | (282) all_0_17_17 = e2
% 20.62/5.48 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.48 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.48 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.48 |
% 20.62/5.48 | Combining equations (368,282) yields a new equation:
% 20.62/5.48 | (742) e2 = e1
% 20.62/5.48 |
% 20.62/5.48 | Equations (742) can reduce 75 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (287) yields:
% 20.62/5.48 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 20.62/5.48 | (275) ~ (all_0_18_18 = e1)
% 20.62/5.48 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 20.62/5.48 | (291) all_0_19_19 = e0
% 20.62/5.48 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 20.62/5.48 |
% 20.62/5.48 | Combining equations (331,291) yields a new equation:
% 20.62/5.48 | (564) e3 = e0
% 20.62/5.48 |
% 20.62/5.48 | Simplifying 564 yields:
% 20.62/5.48 | (323) e3 = e0
% 20.62/5.48 |
% 20.62/5.48 | Equations (323) can reduce 3 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 20.62/5.48 |
% 20.62/5.48 | Applying alpha-rule on (294) yields:
% 20.62/5.48 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 20.62/5.48 | (296) ~ (all_0_23_23 = e0)
% 20.62/5.48 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 20.62/5.48 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 20.62/5.48 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 20.62/5.48 |
% 20.62/5.48 | Equations (182) can reduce 296 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.48 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 20.62/5.48 |
% 20.62/5.48 +-Applying beta-rule and splitting (616), into two cases.
% 20.62/5.48 |-Branch one:
% 20.62/5.48 | (492) all_0_8_8 = e2
% 20.62/5.48 |
% 20.62/5.48 | Equations (492) can reduce 198 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (198) ~ (all_0_8_8 = e2)
% 20.62/5.48 | (620) all_0_8_8 = e1 | all_0_8_8 = e0
% 20.62/5.48 |
% 20.62/5.48 +-Applying beta-rule and splitting (620), into two cases.
% 20.62/5.48 |-Branch one:
% 20.62/5.48 | (621) all_0_8_8 = e1
% 20.62/5.48 |
% 20.62/5.48 | Equations (621) can reduce 196 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (196) ~ (all_0_8_8 = e1)
% 20.62/5.48 | (322) all_0_8_8 = e0
% 20.62/5.48 |
% 20.62/5.48 | Equations (322) can reduce 199 to:
% 20.62/5.48 | (172) $false
% 20.62/5.48 |
% 20.62/5.48 |-The branch is then unsatisfiable
% 20.62/5.48 |-Branch two:
% 20.62/5.48 | (492) all_0_8_8 = e2
% 20.62/5.48 | (338) all_0_9_9 = e3
% 20.62/5.48 |
% 20.62/5.48 | Equations (492,338) can reduce 116 to:
% 20.62/5.48 | (345) ~ (e3 = e2)
% 20.62/5.48 |
% 20.62/5.48 | Simplifying 345 yields:
% 20.62/5.48 | (111) ~ (e3 = e2)
% 20.62/5.48 |
% 20.62/5.48 | Equations (492) can reduce 158 to:
% 20.62/5.48 | (1212) ~ (all_0_12_12 = e2)
% 20.62/5.48 |
% 20.62/5.48 | Simplifying 1212 yields:
% 20.62/5.48 | (336) ~ (all_0_12_12 = e2)
% 20.62/5.48 |
% 20.62/5.48 | Equations (492) can reduce 125 to:
% 20.62/5.48 | (1813) ~ (all_0_20_20 = e2)
% 20.62/5.48 |
% 20.62/5.48 | Simplifying 1813 yields:
% 20.62/5.48 | (466) ~ (all_0_20_20 = e2)
% 20.62/5.48 |
% 20.62/5.48 | Equations (492) can reduce 196 to:
% 20.62/5.48 | (75) ~ (e2 = e1)
% 20.62/5.48 |
% 20.62/5.48 | Equations (492) can reduce 199 to:
% 20.62/5.48 | (29) ~ (e2 = e0)
% 20.62/5.48 |
% 20.62/5.48 +-Applying beta-rule and splitting (99), into two cases.
% 20.62/5.48 |-Branch one:
% 20.62/5.48 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.48 |
% 20.62/5.48 +-Applying beta-rule and splitting (223), into two cases.
% 20.62/5.48 |-Branch one:
% 20.62/5.48 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.48 |
% 20.62/5.48 +-Applying beta-rule and splitting (224), into two cases.
% 20.62/5.48 |-Branch one:
% 20.62/5.48 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (225), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (226), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (227), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (228), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (229), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (230), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.49 |
% 20.62/5.49 | Applying alpha-rule on (231) yields:
% 20.62/5.49 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.49 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.49 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.49 | (235) all_0_9_9 = e2
% 20.62/5.49 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.49 |
% 20.62/5.49 | Combining equations (338,235) yields a new equation:
% 20.62/5.49 | (511) e3 = e2
% 20.62/5.49 |
% 20.62/5.49 | Simplifying 511 yields:
% 20.62/5.49 | (352) e3 = e2
% 20.62/5.49 |
% 20.62/5.49 | Equations (352) can reduce 111 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 20.62/5.49 |
% 20.62/5.49 | Applying alpha-rule on (238) yields:
% 20.62/5.49 | (232) ~ (all_0_8_8 = e3)
% 20.62/5.49 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 20.62/5.49 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 20.62/5.49 | (242) all_0_10_10 = e1
% 20.62/5.49 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 20.62/5.49 |
% 20.62/5.49 | Equations (242) can reduce 40 to:
% 20.62/5.49 | (1573) ~ (all_0_14_14 = e1)
% 20.62/5.49 |
% 20.62/5.49 | Simplifying 1573 yields:
% 20.62/5.49 | (222) ~ (all_0_14_14 = e1)
% 20.62/5.49 |
% 20.62/5.49 | Equations (242) can reduce 72 to:
% 20.62/5.49 | (3509) ~ (all_0_22_22 = e1)
% 20.62/5.49 |
% 20.62/5.49 | Simplifying 3509 yields:
% 20.62/5.49 | (975) ~ (all_0_22_22 = e1)
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (17), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (335) all_0_20_20 = e2
% 20.62/5.49 |
% 20.62/5.49 | Equations (335) can reduce 466 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (466) ~ (all_0_20_20 = e2)
% 20.62/5.49 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (143), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (560) all_0_22_22 = e3
% 20.62/5.49 |
% 20.62/5.49 | Equations (560) can reduce 14 to:
% 20.62/5.49 | (210) ~ (all_0_20_20 = e3)
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (70), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (327) all_0_20_20 = e3
% 20.62/5.49 |
% 20.62/5.49 | Equations (327) can reduce 210 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (210) ~ (all_0_20_20 = e3)
% 20.62/5.49 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (330), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (335) all_0_20_20 = e2
% 20.62/5.49 |
% 20.62/5.49 | Equations (335) can reduce 466 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (466) ~ (all_0_20_20 = e2)
% 20.62/5.49 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (467), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (952) all_0_20_20 = e1
% 20.62/5.49 |
% 20.62/5.49 | Equations (952) can reduce 42 to:
% 20.62/5.49 | (307) ~ (all_0_12_12 = e1)
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (148), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (389) all_0_12_12 = e1
% 20.62/5.49 |
% 20.62/5.49 | Equations (389) can reduce 307 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (307) ~ (all_0_12_12 = e1)
% 20.62/5.49 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (1399), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (444) all_0_13_13 = e1
% 20.62/5.49 |
% 20.62/5.49 | Equations (444) can reduce 167 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (167) ~ (all_0_13_13 = e1)
% 20.62/5.49 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (1715), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (262) all_0_14_14 = e1
% 20.62/5.49 |
% 20.62/5.49 | Equations (262) can reduce 222 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (222) ~ (all_0_14_14 = e1)
% 20.62/5.49 | (490) all_0_15_15 = e1
% 20.62/5.49 |
% 20.62/5.49 | Equations (490) can reduce 30 to:
% 20.62/5.49 | (307) ~ (all_0_12_12 = e1)
% 20.62/5.49 |
% 20.62/5.49 | Equations (490) can reduce 71 to:
% 20.62/5.49 | (222) ~ (all_0_14_14 = e1)
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (165), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (254) all_0_12_12 = e3
% 20.62/5.49 |
% 20.62/5.49 | Equations (254) can reduce 60 to:
% 20.62/5.49 | (2797) ~ (all_0_14_14 = e3)
% 20.62/5.49 |
% 20.62/5.49 | Simplifying 2797 yields:
% 20.62/5.49 | (308) ~ (all_0_14_14 = e3)
% 20.62/5.49 |
% 20.62/5.49 | Equations (254) can reduce 336 to:
% 20.62/5.49 | (111) ~ (e3 = e2)
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (134), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (516) all_0_14_14 = e3
% 20.62/5.49 |
% 20.62/5.49 | Equations (516) can reduce 308 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (308) ~ (all_0_14_14 = e3)
% 20.62/5.49 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (509), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (510) all_0_21_21 = e2
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (519), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (522) all_0_14_14 = e2
% 20.62/5.49 |
% 20.62/5.49 | Equations (522) can reduce 521 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (521) ~ (all_0_14_14 = e2)
% 20.62/5.49 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (525), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (262) all_0_14_14 = e1
% 20.62/5.49 |
% 20.62/5.49 | Equations (262) can reduce 222 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (222) ~ (all_0_14_14 = e1)
% 20.62/5.49 | (529) all_0_14_14 = e0
% 20.62/5.49 |
% 20.62/5.49 | Equations (529) can reduce 12 to:
% 20.62/5.49 | (373) ~ (all_0_13_13 = e0)
% 20.62/5.49 |
% 20.62/5.49 | Equations (529) can reduce 308 to:
% 20.62/5.49 | (189) ~ (e3 = e0)
% 20.62/5.49 |
% 20.62/5.49 | Simplifying 189 yields:
% 20.62/5.49 | (3) ~ (e3 = e0)
% 20.62/5.49 |
% 20.62/5.49 | Equations (529) can reduce 521 to:
% 20.62/5.49 | (191) ~ (e2 = e0)
% 20.62/5.49 |
% 20.62/5.49 | Simplifying 191 yields:
% 20.62/5.49 | (29) ~ (e2 = e0)
% 20.62/5.49 |
% 20.62/5.49 | Equations (529) can reduce 222 to:
% 20.62/5.49 | (193) ~ (e1 = e0)
% 20.62/5.49 |
% 20.62/5.49 | Simplifying 193 yields:
% 20.62/5.49 | (157) ~ (e1 = e0)
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (34), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (424) all_0_9_9 = e0
% 20.62/5.49 |
% 20.62/5.49 | Combining equations (338,424) yields a new equation:
% 20.62/5.49 | (564) e3 = e0
% 20.62/5.49 |
% 20.62/5.49 | Simplifying 564 yields:
% 20.62/5.49 | (323) e3 = e0
% 20.62/5.49 |
% 20.62/5.49 | Equations (323) can reduce 3 to:
% 20.62/5.49 | (172) $false
% 20.62/5.49 |
% 20.62/5.49 |-The branch is then unsatisfiable
% 20.62/5.49 |-Branch two:
% 20.62/5.49 | (372) ~ (all_0_9_9 = e0)
% 20.62/5.49 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 20.62/5.49 |
% 20.62/5.49 +-Applying beta-rule and splitting (664), into two cases.
% 20.62/5.49 |-Branch one:
% 20.62/5.49 | (447) all_0_13_13 = e0
% 21.00/5.49 |
% 21.00/5.49 | Equations (447) can reduce 373 to:
% 21.00/5.49 | (172) $false
% 21.00/5.49 |
% 21.00/5.49 |-The branch is then unsatisfiable
% 21.00/5.49 |-Branch two:
% 21.00/5.49 | (373) ~ (all_0_13_13 = e0)
% 21.00/5.49 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 21.00/5.49 |
% 21.00/5.49 +-Applying beta-rule and splitting (668), into two cases.
% 21.00/5.49 |-Branch one:
% 21.00/5.49 | (371) all_0_17_17 = e0
% 21.00/5.49 |
% 21.00/5.49 | Combining equations (368,371) yields a new equation:
% 21.00/5.49 | (542) e1 = e0
% 21.00/5.49 |
% 21.00/5.49 | Simplifying 542 yields:
% 21.00/5.49 | (543) e1 = e0
% 21.00/5.49 |
% 21.00/5.49 | Equations (543) can reduce 157 to:
% 21.00/5.49 | (172) $false
% 21.00/5.49 |
% 21.00/5.49 |-The branch is then unsatisfiable
% 21.00/5.49 |-Branch two:
% 21.00/5.49 | (1184) ~ (all_0_17_17 = e0)
% 21.00/5.49 | (1185) all_0_21_21 = e0
% 21.00/5.49 |
% 21.00/5.49 | Combining equations (1185,510) yields a new equation:
% 21.00/5.49 | (500) e2 = e0
% 21.00/5.49 |
% 21.00/5.49 | Equations (500) can reduce 29 to:
% 21.00/5.49 | (172) $false
% 21.00/5.49 |
% 21.00/5.49 |-The branch is then unsatisfiable
% 21.00/5.49 |-Branch two:
% 21.00/5.49 | (514) ~ (all_0_21_21 = e2)
% 21.00/5.49 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 21.00/5.49 |
% 21.00/5.49 +-Applying beta-rule and splitting (515), into two cases.
% 21.00/5.49 |-Branch one:
% 21.00/5.49 | (520) all_0_22_22 = e2
% 21.00/5.49 |
% 21.00/5.49 | Combining equations (560,520) yields a new equation:
% 21.00/5.49 | (511) e3 = e2
% 21.00/5.49 |
% 21.00/5.49 | Simplifying 511 yields:
% 21.00/5.49 | (352) e3 = e2
% 21.00/5.49 |
% 21.00/5.49 | Equations (352) can reduce 111 to:
% 21.00/5.49 | (172) $false
% 21.00/5.49 |
% 21.00/5.49 |-The branch is then unsatisfiable
% 21.00/5.49 |-Branch two:
% 21.00/5.49 | (531) ~ (all_0_22_22 = e2)
% 21.00/5.49 | (175) all_0_23_23 = e2
% 21.00/5.49 |
% 21.00/5.49 | Combining equations (175,182) yields a new equation:
% 21.00/5.49 | (499) e2 = e0
% 21.00/5.49 |
% 21.00/5.49 | Simplifying 499 yields:
% 21.00/5.49 | (500) e2 = e0
% 21.00/5.49 |
% 21.00/5.49 | Equations (500) can reduce 29 to:
% 21.00/5.49 | (172) $false
% 21.00/5.49 |
% 21.00/5.49 |-The branch is then unsatisfiable
% 21.00/5.49 |-Branch two:
% 21.00/5.49 | (206) ~ (all_0_12_12 = e3)
% 21.00/5.49 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 21.00/5.49 |
% 21.00/5.49 +-Applying beta-rule and splitting (78), into two cases.
% 21.00/5.49 |-Branch one:
% 21.00/5.49 | (254) all_0_12_12 = e3
% 21.00/5.49 |
% 21.00/5.49 | Equations (254) can reduce 206 to:
% 21.00/5.49 | (172) $false
% 21.00/5.49 |
% 21.00/5.49 |-The branch is then unsatisfiable
% 21.00/5.49 |-Branch two:
% 21.00/5.49 | (206) ~ (all_0_12_12 = e3)
% 21.00/5.49 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 21.00/5.49 |
% 21.00/5.49 +-Applying beta-rule and splitting (381), into two cases.
% 21.00/5.49 |-Branch one:
% 21.00/5.49 | (385) all_0_12_12 = e2
% 21.00/5.49 |
% 21.00/5.49 | Equations (385) can reduce 336 to:
% 21.00/5.49 | (172) $false
% 21.00/5.49 |
% 21.00/5.49 |-The branch is then unsatisfiable
% 21.00/5.49 |-Branch two:
% 21.00/5.49 | (336) ~ (all_0_12_12 = e2)
% 21.00/5.49 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 21.00/5.49 |
% 21.00/5.49 +-Applying beta-rule and splitting (388), into two cases.
% 21.00/5.49 |-Branch one:
% 21.00/5.49 | (389) all_0_12_12 = e1
% 21.00/5.49 |
% 21.00/5.49 | Equations (389) can reduce 307 to:
% 21.00/5.49 | (172) $false
% 21.00/5.49 |
% 21.00/5.49 |-The branch is then unsatisfiable
% 21.00/5.49 |-Branch two:
% 21.00/5.49 | (307) ~ (all_0_12_12 = e1)
% 21.00/5.49 | (392) all_0_12_12 = e0
% 21.00/5.49 |
% 21.00/5.49 | Equations (392) can reduce 606 to:
% 21.00/5.49 | (172) $false
% 21.00/5.49 |
% 21.00/5.49 |-The branch is then unsatisfiable
% 21.00/5.49 |-Branch two:
% 21.00/5.50 | (963) ~ (all_0_20_20 = e1)
% 21.00/5.50 | (613) all_0_20_20 = e0
% 21.00/5.50 |
% 21.00/5.50 | Equations (613) can reduce 186 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (319) ~ (all_0_22_22 = e3)
% 21.00/5.50 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (2882), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (520) all_0_22_22 = e2
% 21.00/5.50 |
% 21.00/5.50 | Equations (520) can reduce 531 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (531) ~ (all_0_22_22 = e2)
% 21.00/5.50 | (4223) all_0_22_22 = e1 | all_0_22_22 = e0
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (4223), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (864) all_0_22_22 = e1
% 21.00/5.50 |
% 21.00/5.50 | Equations (864) can reduce 975 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (975) ~ (all_0_22_22 = e1)
% 21.00/5.50 | (583) all_0_22_22 = e0
% 21.00/5.50 |
% 21.00/5.50 | Equations (583) can reduce 188 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.50 |
% 21.00/5.50 | Applying alpha-rule on (245) yields:
% 21.00/5.50 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.50 | (247) all_0_11_11 = e0
% 21.00/5.50 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.50 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.50 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.50 |
% 21.00/5.50 | Equations (247) can reduce 183 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.50 |
% 21.00/5.50 | Applying alpha-rule on (252) yields:
% 21.00/5.50 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.50 | (254) all_0_12_12 = e3
% 21.00/5.50 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.50 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.50 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (257), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (310) ~ (all_0_17_17 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Equations (368) can reduce 310 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (368) all_0_17_17 = e1
% 21.00/5.50 | (195) ~ (all_0_18_18 = e2)
% 21.00/5.50 |
% 21.00/5.50 | Equations (216) can reduce 195 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.50 |
% 21.00/5.50 | Applying alpha-rule on (259) yields:
% 21.00/5.50 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.50 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.50 | (262) all_0_14_14 = e1
% 21.00/5.50 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.50 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (257), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (310) ~ (all_0_17_17 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Equations (368) can reduce 310 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (368) all_0_17_17 = e1
% 21.00/5.50 | (195) ~ (all_0_18_18 = e2)
% 21.00/5.50 |
% 21.00/5.50 | Equations (216) can reduce 195 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.50 |
% 21.00/5.50 | Applying alpha-rule on (266) yields:
% 21.00/5.50 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.50 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.50 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.50 | (270) all_0_15_15 = e0
% 21.00/5.50 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.50 |
% 21.00/5.50 | Equations (270) can reduce 184 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.50 |
% 21.00/5.50 | Applying alpha-rule on (273) yields:
% 21.00/5.50 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.50 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.50 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.50 | (277) all_0_16_16 = e3
% 21.00/5.50 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.50 |
% 21.00/5.50 | Combining equations (608,277) yields a new equation:
% 21.00/5.50 | (323) e3 = e0
% 21.00/5.50 |
% 21.00/5.50 | Equations (323) can reduce 3 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.50 |
% 21.00/5.50 | Applying alpha-rule on (280) yields:
% 21.00/5.50 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.50 | (282) all_0_17_17 = e2
% 21.00/5.50 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.50 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.50 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.50 |
% 21.00/5.50 | Combining equations (368,282) yields a new equation:
% 21.00/5.50 | (742) e2 = e1
% 21.00/5.50 |
% 21.00/5.50 | Equations (742) can reduce 75 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.50 |
% 21.00/5.50 | Applying alpha-rule on (287) yields:
% 21.00/5.50 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.50 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.50 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.50 | (291) all_0_19_19 = e0
% 21.00/5.50 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.50 |
% 21.00/5.50 | Combining equations (331,291) yields a new equation:
% 21.00/5.50 | (564) e3 = e0
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 564 yields:
% 21.00/5.50 | (323) e3 = e0
% 21.00/5.50 |
% 21.00/5.50 | Equations (323) can reduce 3 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Applying alpha-rule on (294) yields:
% 21.00/5.50 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.00/5.50 | (296) ~ (all_0_23_23 = e0)
% 21.00/5.50 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.00/5.50 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.00/5.50 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.00/5.50 |
% 21.00/5.50 | Equations (182) can reduce 296 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (621) all_0_8_8 = e1
% 21.00/5.50 | (695) all_0_10_10 = e3
% 21.00/5.50 |
% 21.00/5.50 | Equations (621) can reduce 116 to:
% 21.00/5.50 | (3459) ~ (all_0_9_9 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 3459 yields:
% 21.00/5.50 | (423) ~ (all_0_9_9 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Equations (621) can reduce 124 to:
% 21.00/5.50 | (412) ~ (all_0_11_11 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 412 yields:
% 21.00/5.50 | (413) ~ (all_0_11_11 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Equations (621) can reduce 158 to:
% 21.00/5.50 | (4303) ~ (all_0_12_12 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 4303 yields:
% 21.00/5.50 | (307) ~ (all_0_12_12 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Equations (621) can reduce 125 to:
% 21.00/5.50 | (2141) ~ (all_0_20_20 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 2141 yields:
% 21.00/5.50 | (963) ~ (all_0_20_20 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Equations (621) can reduce 199 to:
% 21.00/5.50 | (157) ~ (e1 = e0)
% 21.00/5.50 |
% 21.00/5.50 | Equations (695) can reduce 166 to:
% 21.00/5.50 | (202) ~ (all_0_9_9 = e3)
% 21.00/5.50 |
% 21.00/5.50 | Equations (695) can reduce 23 to:
% 21.00/5.50 | (203) ~ (all_0_11_11 = e3)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 203 yields:
% 21.00/5.50 | (204) ~ (all_0_11_11 = e3)
% 21.00/5.50 |
% 21.00/5.50 | Equations (695) can reduce 40 to:
% 21.00/5.50 | (2797) ~ (all_0_14_14 = e3)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 2797 yields:
% 21.00/5.50 | (308) ~ (all_0_14_14 = e3)
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (128), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (952) all_0_20_20 = e1
% 21.00/5.50 |
% 21.00/5.50 | Equations (952) can reduce 963 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (963) ~ (all_0_20_20 = e1)
% 21.00/5.50 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (964), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (554) all_0_21_21 = e1
% 21.00/5.50 |
% 21.00/5.50 | Equations (554) can reduce 969 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (969) ~ (all_0_21_21 = e1)
% 21.00/5.50 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (970), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (864) all_0_22_22 = e1
% 21.00/5.50 |
% 21.00/5.50 | Equations (864) can reduce 160 to:
% 21.00/5.50 | (222) ~ (all_0_14_14 = e1)
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (134), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (516) all_0_14_14 = e3
% 21.00/5.50 |
% 21.00/5.50 | Equations (516) can reduce 308 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (308) ~ (all_0_14_14 = e3)
% 21.00/5.50 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (519), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (522) all_0_14_14 = e2
% 21.00/5.50 |
% 21.00/5.50 | Equations (522) can reduce 521 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (521) ~ (all_0_14_14 = e2)
% 21.00/5.50 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (525), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (262) all_0_14_14 = e1
% 21.00/5.50 |
% 21.00/5.50 | Equations (262) can reduce 222 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (222) ~ (all_0_14_14 = e1)
% 21.00/5.50 | (529) all_0_14_14 = e0
% 21.00/5.50 |
% 21.00/5.50 | Equations (529) can reduce 12 to:
% 21.00/5.50 | (373) ~ (all_0_13_13 = e0)
% 21.00/5.50 |
% 21.00/5.50 | Equations (529) can reduce 71 to:
% 21.00/5.50 | (657) ~ (all_0_15_15 = e0)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 657 yields:
% 21.00/5.50 | (184) ~ (all_0_15_15 = e0)
% 21.00/5.50 |
% 21.00/5.50 | Equations (529) can reduce 222 to:
% 21.00/5.50 | (193) ~ (e1 = e0)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 193 yields:
% 21.00/5.50 | (157) ~ (e1 = e0)
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (142), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (418) all_0_11_11 = e1
% 21.00/5.50 |
% 21.00/5.50 | Equations (418) can reduce 413 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (413) ~ (all_0_11_11 = e1)
% 21.00/5.50 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (489), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (490) all_0_15_15 = e1
% 21.00/5.50 |
% 21.00/5.50 | Equations (490) can reduce 129 to:
% 21.00/5.50 | (413) ~ (all_0_11_11 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Equations (490) can reduce 642 to:
% 21.00/5.50 | (313) ~ (e3 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 313 yields:
% 21.00/5.50 | (163) ~ (e3 = e1)
% 21.00/5.50 |
% 21.00/5.50 | Equations (490) can reduce 184 to:
% 21.00/5.50 | (157) ~ (e1 = e0)
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (95), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (399) all_0_11_11 = e3
% 21.00/5.50 |
% 21.00/5.50 | Equations (399) can reduce 204 to:
% 21.00/5.50 | (172) $false
% 21.00/5.50 |
% 21.00/5.50 |-The branch is then unsatisfiable
% 21.00/5.50 |-Branch two:
% 21.00/5.50 | (204) ~ (all_0_11_11 = e3)
% 21.00/5.50 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (402), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (414) all_0_11_11 = e2
% 21.00/5.50 |
% 21.00/5.50 | Equations (414) can reduce 54 to:
% 21.00/5.50 | (383) ~ (all_0_9_9 = e2)
% 21.00/5.50 |
% 21.00/5.50 | Equations (414) can reduce 413 to:
% 21.00/5.50 | (75) ~ (e2 = e1)
% 21.00/5.50 |
% 21.00/5.50 +-Applying beta-rule and splitting (34), into two cases.
% 21.00/5.50 |-Branch one:
% 21.00/5.50 | (424) all_0_9_9 = e0
% 21.00/5.50 |
% 21.00/5.50 | Equations (424) can reduce 202 to:
% 21.00/5.50 | (189) ~ (e3 = e0)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 189 yields:
% 21.00/5.50 | (3) ~ (e3 = e0)
% 21.00/5.50 |
% 21.00/5.50 | Equations (424) can reduce 383 to:
% 21.00/5.50 | (191) ~ (e2 = e0)
% 21.00/5.50 |
% 21.00/5.50 | Simplifying 191 yields:
% 21.00/5.50 | (29) ~ (e2 = e0)
% 21.00/5.51 |
% 21.00/5.51 | Equations (424) can reduce 423 to:
% 21.00/5.51 | (193) ~ (e1 = e0)
% 21.00/5.51 |
% 21.00/5.51 | Simplifying 193 yields:
% 21.00/5.51 | (157) ~ (e1 = e0)
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (99), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (223), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (224), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (225), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (226), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (227), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (228), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (229), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (230), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.51 |
% 21.00/5.51 | Applying alpha-rule on (231) yields:
% 21.00/5.51 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.51 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.51 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.51 | (235) all_0_9_9 = e2
% 21.00/5.51 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.51 |
% 21.00/5.51 | Combining equations (235,424) yields a new equation:
% 21.00/5.51 | (499) e2 = e0
% 21.00/5.51 |
% 21.00/5.51 | Simplifying 499 yields:
% 21.00/5.51 | (500) e2 = e0
% 21.00/5.51 |
% 21.00/5.51 | Equations (500) can reduce 29 to:
% 21.00/5.51 | (172) $false
% 21.00/5.51 |
% 21.00/5.51 |-The branch is then unsatisfiable
% 21.00/5.51 |-Branch two:
% 21.00/5.51 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.51 |
% 21.00/5.51 | Applying alpha-rule on (238) yields:
% 21.00/5.51 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.51 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.51 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.51 | (242) all_0_10_10 = e1
% 21.00/5.51 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.51 |
% 21.00/5.51 | Combining equations (242,695) yields a new equation:
% 21.00/5.51 | (556) e3 = e1
% 21.00/5.51 |
% 21.00/5.51 | Equations (556) can reduce 163 to:
% 21.00/5.51 | (172) $false
% 21.00/5.51 |
% 21.00/5.51 |-The branch is then unsatisfiable
% 21.00/5.51 |-Branch two:
% 21.00/5.51 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.51 |
% 21.00/5.51 | Applying alpha-rule on (245) yields:
% 21.00/5.51 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.51 | (247) all_0_11_11 = e0
% 21.00/5.51 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.51 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.51 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.51 |
% 21.00/5.51 | Combining equations (247,414) yields a new equation:
% 21.00/5.51 | (500) e2 = e0
% 21.00/5.51 |
% 21.00/5.51 | Equations (500) can reduce 29 to:
% 21.00/5.51 | (172) $false
% 21.00/5.51 |
% 21.00/5.51 |-The branch is then unsatisfiable
% 21.00/5.51 |-Branch two:
% 21.00/5.51 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.51 |
% 21.00/5.51 | Applying alpha-rule on (252) yields:
% 21.00/5.51 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.51 | (254) all_0_12_12 = e3
% 21.00/5.51 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.51 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.51 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.51 |
% 21.00/5.51 +-Applying beta-rule and splitting (257), into two cases.
% 21.00/5.51 |-Branch one:
% 21.00/5.51 | (310) ~ (all_0_17_17 = e1)
% 21.00/5.51 |
% 21.00/5.51 | Equations (368) can reduce 310 to:
% 21.00/5.51 | (172) $false
% 21.00/5.51 |
% 21.00/5.51 |-The branch is then unsatisfiable
% 21.00/5.51 |-Branch two:
% 21.00/5.51 | (368) all_0_17_17 = e1
% 21.00/5.51 | (195) ~ (all_0_18_18 = e2)
% 21.00/5.51 |
% 21.00/5.51 | Equations (216) can reduce 195 to:
% 21.00/5.51 | (172) $false
% 21.00/5.51 |
% 21.00/5.51 |-The branch is then unsatisfiable
% 21.00/5.51 |-Branch two:
% 21.00/5.51 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.51 |
% 21.00/5.51 | Applying alpha-rule on (259) yields:
% 21.00/5.51 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.51 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.51 | (262) all_0_14_14 = e1
% 21.00/5.51 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.51 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.51 |
% 21.00/5.51 | Combining equations (262,529) yields a new equation:
% 21.00/5.51 | (542) e1 = e0
% 21.00/5.51 |
% 21.00/5.51 | Simplifying 542 yields:
% 21.00/5.51 | (543) e1 = e0
% 21.00/5.51 |
% 21.00/5.51 | Equations (543) can reduce 157 to:
% 21.00/5.51 | (172) $false
% 21.00/5.51 |
% 21.00/5.51 |-The branch is then unsatisfiable
% 21.00/5.51 |-Branch two:
% 21.00/5.51 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.51 |
% 21.00/5.51 | Applying alpha-rule on (266) yields:
% 21.00/5.51 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.51 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.51 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.51 | (270) all_0_15_15 = e0
% 21.00/5.51 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.51 |
% 21.00/5.51 | Combining equations (490,270) yields a new equation:
% 21.00/5.51 | (542) e1 = e0
% 21.00/5.51 |
% 21.00/5.51 | Simplifying 542 yields:
% 21.00/5.51 | (543) e1 = e0
% 21.00/5.51 |
% 21.00/5.51 | Equations (543) can reduce 157 to:
% 21.00/5.51 | (172) $false
% 21.00/5.51 |
% 21.00/5.51 |-The branch is then unsatisfiable
% 21.00/5.51 |-Branch two:
% 21.00/5.51 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.51 |
% 21.00/5.51 | Applying alpha-rule on (273) yields:
% 21.00/5.51 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.51 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.51 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.51 | (277) all_0_16_16 = e3
% 21.00/5.51 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.51 |
% 21.00/5.52 | Combining equations (608,277) yields a new equation:
% 21.00/5.52 | (323) e3 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (323) can reduce 3 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.52 |
% 21.00/5.52 | Applying alpha-rule on (280) yields:
% 21.00/5.52 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.52 | (282) all_0_17_17 = e2
% 21.00/5.52 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.52 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.52 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (368,282) yields a new equation:
% 21.00/5.52 | (742) e2 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (742) can reduce 75 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.52 |
% 21.00/5.52 | Applying alpha-rule on (287) yields:
% 21.00/5.52 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.52 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.52 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.52 | (291) all_0_19_19 = e0
% 21.00/5.52 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (331,291) yields a new equation:
% 21.00/5.52 | (564) e3 = e0
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 564 yields:
% 21.00/5.52 | (323) e3 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (323) can reduce 3 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Applying alpha-rule on (294) yields:
% 21.00/5.52 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.00/5.52 | (296) ~ (all_0_23_23 = e0)
% 21.00/5.52 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.00/5.52 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.00/5.52 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.00/5.52 |
% 21.00/5.52 | Equations (182) can reduce 296 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (372) ~ (all_0_9_9 = e0)
% 21.00/5.52 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (664), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (447) all_0_13_13 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (447) can reduce 373 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (373) ~ (all_0_13_13 = e0)
% 21.00/5.52 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (668), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (371) all_0_17_17 = e0
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (368,371) yields a new equation:
% 21.00/5.52 | (542) e1 = e0
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 542 yields:
% 21.00/5.52 | (543) e1 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (543) can reduce 157 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (1184) ~ (all_0_17_17 = e0)
% 21.00/5.52 | (1185) all_0_21_21 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (1185) can reduce 187 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (343) ~ (all_0_11_11 = e2)
% 21.00/5.52 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (417), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (418) all_0_11_11 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (418) can reduce 413 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (413) ~ (all_0_11_11 = e1)
% 21.00/5.52 | (247) all_0_11_11 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (247) can reduce 183 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (536) ~ (all_0_15_15 = e1)
% 21.00/5.52 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (34), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (424) all_0_9_9 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (424) can reduce 423 to:
% 21.00/5.52 | (193) ~ (e1 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 193 yields:
% 21.00/5.52 | (157) ~ (e1 = e0)
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (148), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (389) all_0_12_12 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (389) can reduce 307 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (307) ~ (all_0_12_12 = e1)
% 21.00/5.52 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (1399), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (444) all_0_13_13 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (444) can reduce 167 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (167) ~ (all_0_13_13 = e1)
% 21.00/5.52 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (1715), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (262) all_0_14_14 = e1
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (529,262) yields a new equation:
% 21.00/5.52 | (543) e1 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (543) can reduce 157 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (222) ~ (all_0_14_14 = e1)
% 21.00/5.52 | (490) all_0_15_15 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (490) can reduce 536 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (372) ~ (all_0_9_9 = e0)
% 21.00/5.52 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (664), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (447) all_0_13_13 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (447) can reduce 373 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (373) ~ (all_0_13_13 = e0)
% 21.00/5.52 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (668), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (371) all_0_17_17 = e0
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (368,371) yields a new equation:
% 21.00/5.52 | (542) e1 = e0
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 542 yields:
% 21.00/5.52 | (543) e1 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (543) can reduce 157 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (1184) ~ (all_0_17_17 = e0)
% 21.00/5.52 | (1185) all_0_21_21 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (1185) can reduce 187 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (975) ~ (all_0_22_22 = e1)
% 21.00/5.52 | (179) all_0_23_23 = e1
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (179,182) yields a new equation:
% 21.00/5.52 | (542) e1 = e0
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 542 yields:
% 21.00/5.52 | (543) e1 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (543) can reduce 157 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (612) ~ (all_0_16_16 = e0)
% 21.00/5.52 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (653), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (371) all_0_17_17 = e0
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (371,368) yields a new equation:
% 21.00/5.52 | (543) e1 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (543) can reduce 157 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (1184) ~ (all_0_17_17 = e0)
% 21.00/5.52 | (1198) all_0_18_18 = e0 | all_0_19_19 = e0
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (1198), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (302) all_0_18_18 = e0
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (216,302) yields a new equation:
% 21.00/5.52 | (499) e2 = e0
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 499 yields:
% 21.00/5.52 | (500) e2 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (500) can reduce 29 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (197) ~ (all_0_18_18 = e0)
% 21.00/5.52 | (291) all_0_19_19 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (291) can reduce 185 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (171) all_0_23_23 = e3
% 21.00/5.52 | (613) all_0_20_20 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (613) can reduce 125 to:
% 21.00/5.52 | (199) ~ (all_0_8_8 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Equations (171) can reduce 131 to:
% 21.00/5.52 | (204) ~ (all_0_11_11 = e3)
% 21.00/5.52 |
% 21.00/5.52 | Equations (613) can reduce 42 to:
% 21.00/5.52 | (606) ~ (all_0_12_12 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Equations (171) can reduce 105 to:
% 21.00/5.52 | (642) ~ (all_0_15_15 = e3)
% 21.00/5.52 |
% 21.00/5.52 | Equations (613) can reduce 101 to:
% 21.00/5.52 | (612) ~ (all_0_16_16 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Equations (171) can reduce 122 to:
% 21.00/5.52 | (317) ~ (all_0_19_19 = e3)
% 21.00/5.52 |
% 21.00/5.52 | Equations (613) can reduce 7 to:
% 21.00/5.52 | (1547) ~ (all_0_21_21 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 1547 yields:
% 21.00/5.52 | (187) ~ (all_0_21_21 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Equations (613) can reduce 14 to:
% 21.00/5.52 | (659) ~ (all_0_22_22 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 659 yields:
% 21.00/5.52 | (188) ~ (all_0_22_22 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Equations (613,171) can reduce 156 to:
% 21.00/5.52 | (189) ~ (e3 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 189 yields:
% 21.00/5.52 | (3) ~ (e3 = e0)
% 21.00/5.52 |
% 21.00/5.52 | Equations (171) can reduce 31 to:
% 21.00/5.52 | (449) ~ (all_0_21_21 = e3)
% 21.00/5.52 |
% 21.00/5.52 | Equations (171) can reduce 169 to:
% 21.00/5.52 | (111) ~ (e3 = e2)
% 21.00/5.52 |
% 21.00/5.52 | Equations (171) can reduce 168 to:
% 21.00/5.52 | (163) ~ (e3 = e1)
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (127), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (211) ~ (all_0_18_18 = e3)
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (20), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (196) ~ (all_0_8_8 = e1)
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (94), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (197) ~ (all_0_18_18 = e0)
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (48), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (195) ~ (all_0_18_18 = e2)
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (33), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (212) all_0_18_18 = e3
% 21.00/5.52 |
% 21.00/5.52 | Equations (212) can reduce 211 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (211) ~ (all_0_18_18 = e3)
% 21.00/5.52 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (215), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (216) all_0_18_18 = e2
% 21.00/5.52 |
% 21.00/5.52 | Equations (216) can reduce 195 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (195) ~ (all_0_18_18 = e2)
% 21.00/5.52 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (219), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (220) all_0_18_18 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (220) can reduce 28 to:
% 21.00/5.52 | (770) ~ (all_0_16_16 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Equations (220) can reduce 43 to:
% 21.00/5.52 | (311) ~ (all_0_19_19 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 311 yields:
% 21.00/5.52 | (312) ~ (all_0_19_19 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Equations (220) can reduce 119 to:
% 21.00/5.52 | (3509) ~ (all_0_22_22 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 3509 yields:
% 21.00/5.52 | (975) ~ (all_0_22_22 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Equations (220) can reduce 211 to:
% 21.00/5.52 | (313) ~ (e3 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 313 yields:
% 21.00/5.52 | (163) ~ (e3 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Equations (220) can reduce 195 to:
% 21.00/5.52 | (924) ~ (e2 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 924 yields:
% 21.00/5.52 | (75) ~ (e2 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Equations (220) can reduce 197 to:
% 21.00/5.52 | (157) ~ (e1 = e0)
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (128), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (952) all_0_20_20 = e1
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (613,952) yields a new equation:
% 21.00/5.52 | (543) e1 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (543) can reduce 157 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (963) ~ (all_0_20_20 = e1)
% 21.00/5.52 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (964), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (554) all_0_21_21 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (554) can reduce 150 to:
% 21.00/5.52 | (3509) ~ (all_0_22_22 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 3509 yields:
% 21.00/5.52 | (975) ~ (all_0_22_22 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Equations (554) can reduce 449 to:
% 21.00/5.52 | (313) ~ (e3 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 313 yields:
% 21.00/5.52 | (163) ~ (e3 = e1)
% 21.00/5.52 |
% 21.00/5.52 | Equations (554) can reduce 187 to:
% 21.00/5.52 | (157) ~ (e1 = e0)
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (146), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (621) all_0_8_8 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (621) can reduce 196 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (196) ~ (all_0_8_8 = e1)
% 21.00/5.52 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (17), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (335) all_0_20_20 = e2
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (613,335) yields a new equation:
% 21.00/5.52 | (500) e2 = e0
% 21.00/5.52 |
% 21.00/5.52 | Equations (500) can reduce 29 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (466) ~ (all_0_20_20 = e2)
% 21.00/5.52 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (509), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (510) all_0_21_21 = e2
% 21.00/5.52 |
% 21.00/5.52 | Combining equations (510,554) yields a new equation:
% 21.00/5.52 | (966) e2 = e1
% 21.00/5.52 |
% 21.00/5.52 | Simplifying 966 yields:
% 21.00/5.52 | (742) e2 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (742) can reduce 75 to:
% 21.00/5.52 | (172) $false
% 21.00/5.52 |
% 21.00/5.52 |-The branch is then unsatisfiable
% 21.00/5.52 |-Branch two:
% 21.00/5.52 | (514) ~ (all_0_21_21 = e2)
% 21.00/5.52 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (515), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (520) all_0_22_22 = e2
% 21.00/5.52 |
% 21.00/5.52 | Equations (520) can reduce 975 to:
% 21.00/5.52 | (75) ~ (e2 = e1)
% 21.00/5.52 |
% 21.00/5.52 +-Applying beta-rule and splitting (778), into two cases.
% 21.00/5.52 |-Branch one:
% 21.00/5.52 | (389) all_0_12_12 = e1
% 21.00/5.52 |
% 21.00/5.52 | Equations (389) can reduce 93 to:
% 21.00/5.52 | (4597) ~ (all_0_13_13 = e1)
% 21.00/5.52 |
% 21.00/5.53 | Simplifying 4597 yields:
% 21.00/5.53 | (167) ~ (all_0_13_13 = e1)
% 21.00/5.53 |
% 21.00/5.53 | Equations (389) can reduce 60 to:
% 21.00/5.53 | (1573) ~ (all_0_14_14 = e1)
% 21.00/5.53 |
% 21.00/5.53 | Simplifying 1573 yields:
% 21.00/5.53 | (222) ~ (all_0_14_14 = e1)
% 21.00/5.53 |
% 21.00/5.53 | Equations (389) can reduce 30 to:
% 21.00/5.53 | (4601) ~ (all_0_15_15 = e1)
% 21.00/5.53 |
% 21.00/5.53 | Simplifying 4601 yields:
% 21.00/5.53 | (536) ~ (all_0_15_15 = e1)
% 21.00/5.53 |
% 21.00/5.53 | Equations (389) can reduce 606 to:
% 21.00/5.53 | (157) ~ (e1 = e0)
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (82), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (337) ~ (all_0_13_13 = e3)
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (142), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (418) all_0_11_11 = e1
% 21.00/5.53 |
% 21.00/5.53 | Equations (418) can reduce 23 to:
% 21.00/5.53 | (221) ~ (all_0_10_10 = e1)
% 21.00/5.53 |
% 21.00/5.53 | Equations (418) can reduce 204 to:
% 21.00/5.53 | (313) ~ (e3 = e1)
% 21.00/5.53 |
% 21.00/5.53 | Simplifying 313 yields:
% 21.00/5.53 | (163) ~ (e3 = e1)
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (99), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (223), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (224), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (225), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (226), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (227), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (228), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (229), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (230), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.53 |
% 21.00/5.53 | Applying alpha-rule on (231) yields:
% 21.00/5.53 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.53 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.53 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.53 | (235) all_0_9_9 = e2
% 21.00/5.53 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (234), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (170) ~ (all_0_23_23 = e3)
% 21.00/5.53 |
% 21.00/5.53 | Equations (171) can reduce 170 to:
% 21.00/5.53 | (172) $false
% 21.00/5.53 |
% 21.00/5.53 |-The branch is then unsatisfiable
% 21.00/5.53 |-Branch two:
% 21.00/5.53 | (171) all_0_23_23 = e3
% 21.00/5.53 | (186) ~ (all_0_20_20 = e0)
% 21.00/5.53 |
% 21.00/5.53 | Equations (613) can reduce 186 to:
% 21.00/5.53 | (172) $false
% 21.00/5.53 |
% 21.00/5.53 |-The branch is then unsatisfiable
% 21.00/5.53 |-Branch two:
% 21.00/5.53 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.53 |
% 21.00/5.53 | Applying alpha-rule on (238) yields:
% 21.00/5.53 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.53 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.53 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.53 | (242) all_0_10_10 = e1
% 21.00/5.53 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.53 |
% 21.00/5.53 | Equations (242) can reduce 221 to:
% 21.00/5.53 | (172) $false
% 21.00/5.53 |
% 21.00/5.53 |-The branch is then unsatisfiable
% 21.00/5.53 |-Branch two:
% 21.00/5.53 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.53 |
% 21.00/5.53 | Applying alpha-rule on (245) yields:
% 21.00/5.53 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.53 | (247) all_0_11_11 = e0
% 21.00/5.53 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.53 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.53 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.53 |
% 21.00/5.53 | Combining equations (247,418) yields a new equation:
% 21.00/5.53 | (543) e1 = e0
% 21.00/5.53 |
% 21.00/5.53 | Equations (543) can reduce 157 to:
% 21.00/5.53 | (172) $false
% 21.00/5.53 |
% 21.00/5.53 |-The branch is then unsatisfiable
% 21.00/5.53 |-Branch two:
% 21.00/5.53 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.53 |
% 21.00/5.53 | Applying alpha-rule on (252) yields:
% 21.00/5.53 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.53 | (254) all_0_12_12 = e3
% 21.00/5.53 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.53 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.53 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.53 |
% 21.00/5.53 | Combining equations (389,254) yields a new equation:
% 21.00/5.53 | (556) e3 = e1
% 21.00/5.53 |
% 21.00/5.53 | Equations (556) can reduce 163 to:
% 21.00/5.53 | (172) $false
% 21.00/5.53 |
% 21.00/5.53 |-The branch is then unsatisfiable
% 21.00/5.53 |-Branch two:
% 21.00/5.53 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.53 |
% 21.00/5.53 | Applying alpha-rule on (259) yields:
% 21.00/5.53 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.53 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.53 | (262) all_0_14_14 = e1
% 21.00/5.53 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.53 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.53 |
% 21.00/5.53 | Equations (262) can reduce 222 to:
% 21.00/5.53 | (172) $false
% 21.00/5.53 |
% 21.00/5.53 |-The branch is then unsatisfiable
% 21.00/5.53 |-Branch two:
% 21.00/5.53 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.53 |
% 21.00/5.53 | Applying alpha-rule on (266) yields:
% 21.00/5.53 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.53 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.53 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.53 | (270) all_0_15_15 = e0
% 21.00/5.53 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.53 |
% 21.00/5.53 | Equations (270) can reduce 135 to:
% 21.00/5.53 | (373) ~ (all_0_13_13 = e0)
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (102), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (347) all_0_13_13 = e3
% 21.00/5.53 |
% 21.00/5.53 | Equations (347) can reduce 337 to:
% 21.00/5.53 | (172) $false
% 21.00/5.53 |
% 21.00/5.53 |-The branch is then unsatisfiable
% 21.00/5.53 |-Branch two:
% 21.00/5.53 | (337) ~ (all_0_13_13 = e3)
% 21.00/5.53 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 21.00/5.53 |
% 21.00/5.53 +-Applying beta-rule and splitting (377), into two cases.
% 21.00/5.53 |-Branch one:
% 21.00/5.53 | (382) all_0_13_13 = e2
% 21.00/5.53 |
% 21.00/5.53 | Equations (382) can reduce 253 to:
% 21.00/5.53 | (172) $false
% 21.00/5.53 |
% 21.00/5.53 |-The branch is then unsatisfiable
% 21.00/5.53 |-Branch two:
% 21.00/5.53 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.53 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (443), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (444) all_0_13_13 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (444) can reduce 167 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (167) ~ (all_0_13_13 = e1)
% 21.00/5.54 | (447) all_0_13_13 = e0
% 21.00/5.54 |
% 21.00/5.54 | Equations (447) can reduce 373 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.54 |
% 21.00/5.54 | Applying alpha-rule on (273) yields:
% 21.00/5.54 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.54 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.54 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.54 | (277) all_0_16_16 = e3
% 21.00/5.54 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.54 |
% 21.00/5.54 | Equations (220) can reduce 275 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.54 |
% 21.00/5.54 | Applying alpha-rule on (280) yields:
% 21.00/5.54 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.54 | (282) all_0_17_17 = e2
% 21.00/5.54 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.54 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.54 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.54 |
% 21.00/5.54 | Equations (220) can reduce 275 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.54 |
% 21.00/5.54 | Applying alpha-rule on (287) yields:
% 21.00/5.54 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.54 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.54 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.54 | (291) all_0_19_19 = e0
% 21.00/5.54 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.54 |
% 21.00/5.54 | Equations (220) can reduce 275 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Applying alpha-rule on (294) yields:
% 21.00/5.54 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.00/5.54 | (296) ~ (all_0_23_23 = e0)
% 21.00/5.54 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.00/5.54 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.00/5.54 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.00/5.54 |
% 21.00/5.54 | Equations (171) can reduce 296 to:
% 21.00/5.54 | (3) ~ (e3 = e0)
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (295), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (327) all_0_20_20 = e3
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (613,327) yields a new equation:
% 21.00/5.54 | (323) e3 = e0
% 21.00/5.54 |
% 21.00/5.54 | Equations (323) can reduce 3 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (210) ~ (all_0_20_20 = e3)
% 21.00/5.54 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (4710), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (510) all_0_21_21 = e2
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (554,510) yields a new equation:
% 21.00/5.54 | (742) e2 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (742) can reduce 75 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (514) ~ (all_0_21_21 = e2)
% 21.00/5.54 | (864) all_0_22_22 = e1
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (520,864) yields a new equation:
% 21.00/5.54 | (966) e2 = e1
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 966 yields:
% 21.00/5.54 | (742) e2 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (742) can reduce 75 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (413) ~ (all_0_11_11 = e1)
% 21.00/5.54 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (489), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (490) all_0_15_15 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (490) can reduce 536 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (536) ~ (all_0_15_15 = e1)
% 21.00/5.54 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (165), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (254) all_0_12_12 = e3
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (254,389) yields a new equation:
% 21.00/5.54 | (555) e3 = e1
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 555 yields:
% 21.00/5.54 | (556) e3 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (556) can reduce 163 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (206) ~ (all_0_12_12 = e3)
% 21.00/5.54 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (714), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (347) all_0_13_13 = e3
% 21.00/5.54 |
% 21.00/5.54 | Equations (347) can reduce 337 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (337) ~ (all_0_13_13 = e3)
% 21.00/5.54 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (1007), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (516) all_0_14_14 = e3
% 21.00/5.54 |
% 21.00/5.54 | Equations (516) can reduce 222 to:
% 21.00/5.54 | (163) ~ (e3 = e1)
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (537), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (458) all_0_19_19 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (458) can reduce 312 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (312) ~ (all_0_19_19 = e1)
% 21.00/5.54 | (179) all_0_23_23 = e1
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (179,171) yields a new equation:
% 21.00/5.54 | (556) e3 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (556) can reduce 163 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (308) ~ (all_0_14_14 = e3)
% 21.00/5.54 | (726) all_0_15_15 = e3
% 21.00/5.54 |
% 21.00/5.54 | Equations (726) can reduce 642 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (347) all_0_13_13 = e3
% 21.00/5.54 | (385) all_0_12_12 = e2
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (385,389) yields a new equation:
% 21.00/5.54 | (966) e2 = e1
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 966 yields:
% 21.00/5.54 | (742) e2 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (742) can reduce 75 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (307) ~ (all_0_12_12 = e1)
% 21.00/5.54 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (2268), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (305) all_0_16_16 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (305) can reduce 770 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (770) ~ (all_0_16_16 = e1)
% 21.00/5.54 | (952) all_0_20_20 = e1
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (613,952) yields a new equation:
% 21.00/5.54 | (543) e1 = e0
% 21.00/5.54 |
% 21.00/5.54 | Equations (543) can reduce 157 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (531) ~ (all_0_22_22 = e2)
% 21.00/5.54 | (175) all_0_23_23 = e2
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (175,171) yields a new equation:
% 21.00/5.54 | (352) e3 = e2
% 21.00/5.54 |
% 21.00/5.54 | Equations (352) can reduce 111 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (969) ~ (all_0_21_21 = e1)
% 21.00/5.54 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (970), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (864) all_0_22_22 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (864) can reduce 975 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (975) ~ (all_0_22_22 = e1)
% 21.00/5.54 | (179) all_0_23_23 = e1
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (179,171) yields a new equation:
% 21.00/5.54 | (556) e3 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (556) can reduce 163 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.54 | (302) all_0_18_18 = e0
% 21.00/5.54 |
% 21.00/5.54 | Equations (302) can reduce 197 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (216) all_0_18_18 = e2
% 21.00/5.54 | (368) all_0_17_17 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (368) can reduce 136 to:
% 21.00/5.54 | (423) ~ (all_0_9_9 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Equations (216) can reduce 51 to:
% 21.00/5.54 | (985) ~ (all_0_10_10 = e2)
% 21.00/5.54 |
% 21.00/5.54 | Equations (216) can reduce 81 to:
% 21.00/5.54 | (521) ~ (all_0_14_14 = e2)
% 21.00/5.54 |
% 21.00/5.54 | Equations (368) can reduce 10 to:
% 21.00/5.54 | (311) ~ (all_0_19_19 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 311 yields:
% 21.00/5.54 | (312) ~ (all_0_19_19 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Equations (368) can reduce 76 to:
% 21.00/5.54 | (2325) ~ (all_0_21_21 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 2325 yields:
% 21.00/5.54 | (969) ~ (all_0_21_21 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Equations (216) can reduce 43 to:
% 21.00/5.54 | (4783) ~ (all_0_19_19 = e2)
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 4783 yields:
% 21.00/5.54 | (456) ~ (all_0_19_19 = e2)
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (52), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (331) all_0_19_19 = e3
% 21.00/5.54 |
% 21.00/5.54 | Equations (331) can reduce 317 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (317) ~ (all_0_19_19 = e3)
% 21.00/5.54 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (4), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (356) all_0_21_21 = e3
% 21.00/5.54 |
% 21.00/5.54 | Equations (356) can reduce 449 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (449) ~ (all_0_21_21 = e3)
% 21.00/5.54 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (2018), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (510) all_0_21_21 = e2
% 21.00/5.54 |
% 21.00/5.54 | Equations (510) can reduce 74 to:
% 21.00/5.54 | (383) ~ (all_0_9_9 = e2)
% 21.00/5.54 |
% 21.00/5.54 | Equations (510) can reduce 104 to:
% 21.00/5.54 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.54 |
% 21.00/5.54 | Equations (510) can reduce 150 to:
% 21.00/5.54 | (2581) ~ (all_0_22_22 = e2)
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 2581 yields:
% 21.00/5.54 | (531) ~ (all_0_22_22 = e2)
% 21.00/5.54 |
% 21.00/5.54 | Equations (510) can reduce 449 to:
% 21.00/5.54 | (345) ~ (e3 = e2)
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 345 yields:
% 21.00/5.54 | (111) ~ (e3 = e2)
% 21.00/5.54 |
% 21.00/5.54 | Equations (510) can reduce 969 to:
% 21.00/5.54 | (75) ~ (e2 = e1)
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (146), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (621) all_0_8_8 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (621) can reduce 196 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (196) ~ (all_0_8_8 = e1)
% 21.00/5.54 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (778), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (389) all_0_12_12 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (389) can reduce 60 to:
% 21.00/5.54 | (1573) ~ (all_0_14_14 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 1573 yields:
% 21.00/5.54 | (222) ~ (all_0_14_14 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Equations (389) can reduce 30 to:
% 21.00/5.54 | (4601) ~ (all_0_15_15 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 4601 yields:
% 21.00/5.54 | (536) ~ (all_0_15_15 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Equations (389) can reduce 45 to:
% 21.00/5.54 | (2507) ~ (all_0_16_16 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 2507 yields:
% 21.00/5.54 | (770) ~ (all_0_16_16 = e1)
% 21.00/5.54 |
% 21.00/5.54 | Equations (389) can reduce 606 to:
% 21.00/5.54 | (157) ~ (e1 = e0)
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (77), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (277) all_0_16_16 = e3
% 21.00/5.54 |
% 21.00/5.54 | Equations (277) can reduce 138 to:
% 21.00/5.54 | (316) ~ (all_0_19_19 = e3)
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 316 yields:
% 21.00/5.54 | (317) ~ (all_0_19_19 = e3)
% 21.00/5.54 |
% 21.00/5.54 | Equations (277) can reduce 770 to:
% 21.00/5.54 | (163) ~ (e3 = e1)
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (82), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (337) ~ (all_0_13_13 = e3)
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (128), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (952) all_0_20_20 = e1
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (613,952) yields a new equation:
% 21.00/5.54 | (543) e1 = e0
% 21.00/5.54 |
% 21.00/5.54 | Equations (543) can reduce 157 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (963) ~ (all_0_20_20 = e1)
% 21.00/5.54 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.54 |
% 21.00/5.54 +-Applying beta-rule and splitting (165), into two cases.
% 21.00/5.54 |-Branch one:
% 21.00/5.54 | (254) all_0_12_12 = e3
% 21.00/5.54 |
% 21.00/5.54 | Combining equations (254,389) yields a new equation:
% 21.00/5.54 | (555) e3 = e1
% 21.00/5.54 |
% 21.00/5.54 | Simplifying 555 yields:
% 21.00/5.54 | (556) e3 = e1
% 21.00/5.54 |
% 21.00/5.54 | Equations (556) can reduce 163 to:
% 21.00/5.54 | (172) $false
% 21.00/5.54 |
% 21.00/5.54 |-The branch is then unsatisfiable
% 21.00/5.54 |-Branch two:
% 21.00/5.54 | (206) ~ (all_0_12_12 = e3)
% 21.00/5.55 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (714), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (347) all_0_13_13 = e3
% 21.00/5.55 |
% 21.00/5.55 | Equations (347) can reduce 337 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (337) ~ (all_0_13_13 = e3)
% 21.00/5.55 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (1007), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (516) all_0_14_14 = e3
% 21.00/5.55 |
% 21.00/5.55 | Equations (516) can reduce 12 to:
% 21.00/5.55 | (337) ~ (all_0_13_13 = e3)
% 21.00/5.55 |
% 21.00/5.55 | Equations (516) can reduce 521 to:
% 21.00/5.55 | (111) ~ (e3 = e2)
% 21.00/5.55 |
% 21.00/5.55 | Equations (516) can reduce 222 to:
% 21.00/5.55 | (163) ~ (e3 = e1)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (964), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (554) all_0_21_21 = e1
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (510,554) yields a new equation:
% 21.00/5.55 | (966) e2 = e1
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 966 yields:
% 21.00/5.55 | (742) e2 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (742) can reduce 75 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (969) ~ (all_0_21_21 = e1)
% 21.00/5.55 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (510) can reduce 969 to:
% 21.00/5.55 | (75) ~ (e2 = e1)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (142), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (418) all_0_11_11 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (418) can reduce 54 to:
% 21.00/5.55 | (423) ~ (all_0_9_9 = e1)
% 21.00/5.55 |
% 21.00/5.55 | Equations (418) can reduce 132 to:
% 21.00/5.55 | (311) ~ (all_0_19_19 = e1)
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 311 yields:
% 21.00/5.55 | (312) ~ (all_0_19_19 = e1)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (16), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (492) all_0_8_8 = e2
% 21.00/5.55 |
% 21.00/5.55 | Equations (492) can reduce 116 to:
% 21.00/5.55 | (4849) ~ (all_0_9_9 = e2)
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 4849 yields:
% 21.00/5.55 | (383) ~ (all_0_9_9 = e2)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (73), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (198) ~ (all_0_8_8 = e2)
% 21.00/5.55 |
% 21.00/5.55 | Equations (492) can reduce 198 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (492) all_0_8_8 = e2
% 21.00/5.55 | (338) all_0_9_9 = e3
% 21.00/5.55 |
% 21.00/5.55 | Equations (338) can reduce 383 to:
% 21.00/5.55 | (111) ~ (e3 = e2)
% 21.00/5.55 |
% 21.00/5.55 | Equations (338) can reduce 423 to:
% 21.00/5.55 | (163) ~ (e3 = e1)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (334), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (342) all_0_19_19 = e2
% 21.00/5.55 |
% 21.00/5.55 | Equations (342) can reduce 456 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (456) ~ (all_0_19_19 = e2)
% 21.00/5.55 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (457), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (458) all_0_19_19 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (458) can reduce 312 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (312) ~ (all_0_19_19 = e1)
% 21.00/5.55 | (291) all_0_19_19 = e0
% 21.00/5.55 |
% 21.00/5.55 | Equations (291) can reduce 317 to:
% 21.00/5.55 | (189) ~ (e3 = e0)
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 189 yields:
% 21.00/5.55 | (3) ~ (e3 = e0)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (970), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (864) all_0_22_22 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (864) can reduce 531 to:
% 21.00/5.55 | (924) ~ (e2 = e1)
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 924 yields:
% 21.00/5.55 | (75) ~ (e2 = e1)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (37), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (200) all_0_8_8 = e3
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (200,492) yields a new equation:
% 21.00/5.55 | (511) e3 = e2
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 511 yields:
% 21.00/5.55 | (352) e3 = e2
% 21.00/5.55 |
% 21.00/5.55 | Equations (352) can reduce 111 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.55 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (34), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (424) all_0_9_9 = e0
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (424,338) yields a new equation:
% 21.00/5.55 | (323) e3 = e0
% 21.00/5.55 |
% 21.00/5.55 | Equations (323) can reduce 3 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (372) ~ (all_0_9_9 = e0)
% 21.00/5.55 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.00/5.55 |
% 21.00/5.55 | Equations (338) can reduce 372 to:
% 21.00/5.55 | (3) ~ (e3 = e0)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (4875), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (382) all_0_13_13 = e2
% 21.00/5.55 |
% 21.00/5.55 | Equations (382) can reduce 253 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.55 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (4885), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (220) all_0_18_18 = e1
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (220,216) yields a new equation:
% 21.00/5.55 | (742) e2 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (742) can reduce 75 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.55 | (182) all_0_23_23 = e0
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (171,182) yields a new equation:
% 21.00/5.55 | (564) e3 = e0
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 564 yields:
% 21.00/5.55 | (323) e3 = e0
% 21.00/5.55 |
% 21.00/5.55 | Equations (323) can reduce 3 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (975) ~ (all_0_22_22 = e1)
% 21.00/5.55 | (179) all_0_23_23 = e1
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (179,171) yields a new equation:
% 21.00/5.55 | (556) e3 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (556) can reduce 163 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (198) ~ (all_0_8_8 = e2)
% 21.00/5.55 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (496), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (235) all_0_9_9 = e2
% 21.00/5.55 |
% 21.00/5.55 | Equations (235) can reduce 383 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (383) ~ (all_0_9_9 = e2)
% 21.00/5.55 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (2041), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (730) all_0_10_10 = e2
% 21.00/5.55 |
% 21.00/5.55 | Equations (730) can reduce 985 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (985) ~ (all_0_10_10 = e2)
% 21.00/5.55 | (414) all_0_11_11 = e2
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (414,418) yields a new equation:
% 21.00/5.55 | (966) e2 = e1
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 966 yields:
% 21.00/5.55 | (742) e2 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (742) can reduce 75 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (413) ~ (all_0_11_11 = e1)
% 21.00/5.55 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (151), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (338) all_0_9_9 = e3
% 21.00/5.55 |
% 21.00/5.55 | Equations (338) can reduce 423 to:
% 21.00/5.55 | (163) ~ (e3 = e1)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (489), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (490) all_0_15_15 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (490) can reduce 536 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (536) ~ (all_0_15_15 = e1)
% 21.00/5.55 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (537), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (458) all_0_19_19 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (458) can reduce 312 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (312) ~ (all_0_19_19 = e1)
% 21.00/5.55 | (179) all_0_23_23 = e1
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (179,171) yields a new equation:
% 21.00/5.55 | (556) e3 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (556) can reduce 163 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (202) ~ (all_0_9_9 = e3)
% 21.00/5.55 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (341), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (347) all_0_13_13 = e3
% 21.00/5.55 |
% 21.00/5.55 | Equations (347) can reduce 337 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (337) ~ (all_0_13_13 = e3)
% 21.00/5.55 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (350), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (360) all_0_17_17 = e3
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (368,360) yields a new equation:
% 21.00/5.55 | (556) e3 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (556) can reduce 163 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (315) ~ (all_0_17_17 = e3)
% 21.00/5.55 | (356) all_0_21_21 = e3
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (510,356) yields a new equation:
% 21.00/5.55 | (352) e3 = e2
% 21.00/5.55 |
% 21.00/5.55 | Equations (352) can reduce 111 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (308) ~ (all_0_14_14 = e3)
% 21.00/5.55 | (726) all_0_15_15 = e3
% 21.00/5.55 |
% 21.00/5.55 | Equations (726) can reduce 642 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (347) all_0_13_13 = e3
% 21.00/5.55 | (385) all_0_12_12 = e2
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (385,389) yields a new equation:
% 21.00/5.55 | (966) e2 = e1
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 966 yields:
% 21.00/5.55 | (742) e2 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (742) can reduce 75 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (208) ~ (all_0_16_16 = e3)
% 21.00/5.55 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (1015), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (360) all_0_17_17 = e3
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (368,360) yields a new equation:
% 21.00/5.55 | (556) e3 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (556) can reduce 163 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (315) ~ (all_0_17_17 = e3)
% 21.00/5.55 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (1031), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (212) all_0_18_18 = e3
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (216,212) yields a new equation:
% 21.00/5.55 | (352) e3 = e2
% 21.00/5.55 |
% 21.00/5.55 | Equations (352) can reduce 111 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (211) ~ (all_0_18_18 = e3)
% 21.00/5.55 | (331) all_0_19_19 = e3
% 21.00/5.55 |
% 21.00/5.55 | Equations (331) can reduce 317 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (307) ~ (all_0_12_12 = e1)
% 21.00/5.55 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (128), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (952) all_0_20_20 = e1
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (613,952) yields a new equation:
% 21.00/5.55 | (543) e1 = e0
% 21.00/5.55 |
% 21.00/5.55 | Equations (543) can reduce 157 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (963) ~ (all_0_20_20 = e1)
% 21.00/5.55 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (964), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (554) all_0_21_21 = e1
% 21.00/5.55 |
% 21.00/5.55 | Combining equations (510,554) yields a new equation:
% 21.00/5.55 | (966) e2 = e1
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 966 yields:
% 21.00/5.55 | (742) e2 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (742) can reduce 75 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (969) ~ (all_0_21_21 = e1)
% 21.00/5.55 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (334), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (342) all_0_19_19 = e2
% 21.00/5.55 |
% 21.00/5.55 | Equations (342) can reduce 456 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (456) ~ (all_0_19_19 = e2)
% 21.00/5.55 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (970), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (864) all_0_22_22 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (864) can reduce 72 to:
% 21.00/5.55 | (221) ~ (all_0_10_10 = e1)
% 21.00/5.55 |
% 21.00/5.55 | Equations (864) can reduce 160 to:
% 21.00/5.55 | (222) ~ (all_0_14_14 = e1)
% 21.00/5.55 |
% 21.00/5.55 | Equations (864) can reduce 531 to:
% 21.00/5.55 | (924) ~ (e2 = e1)
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 924 yields:
% 21.00/5.55 | (75) ~ (e2 = e1)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (457), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (458) all_0_19_19 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (458) can reduce 312 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (312) ~ (all_0_19_19 = e1)
% 21.00/5.55 | (291) all_0_19_19 = e0
% 21.00/5.55 |
% 21.00/5.55 | Equations (291) can reduce 89 to:
% 21.00/5.55 | (184) ~ (all_0_15_15 = e0)
% 21.00/5.55 |
% 21.00/5.55 | Equations (291) can reduce 317 to:
% 21.00/5.55 | (189) ~ (e3 = e0)
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 189 yields:
% 21.00/5.55 | (3) ~ (e3 = e0)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (37), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (200) all_0_8_8 = e3
% 21.00/5.55 |
% 21.00/5.55 | Equations (200) can reduce 24 to:
% 21.00/5.55 | (1214) ~ (all_0_10_10 = e3)
% 21.00/5.55 |
% 21.00/5.55 | Simplifying 1214 yields:
% 21.00/5.55 | (306) ~ (all_0_10_10 = e3)
% 21.00/5.55 |
% 21.00/5.55 | Equations (200) can reduce 196 to:
% 21.00/5.55 | (163) ~ (e3 = e1)
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (148), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (389) all_0_12_12 = e1
% 21.00/5.55 |
% 21.00/5.55 | Equations (389) can reduce 307 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (307) ~ (all_0_12_12 = e1)
% 21.00/5.55 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.00/5.55 |
% 21.00/5.55 +-Applying beta-rule and splitting (50), into two cases.
% 21.00/5.55 |-Branch one:
% 21.00/5.55 | (695) all_0_10_10 = e3
% 21.00/5.55 |
% 21.00/5.55 | Equations (695) can reduce 306 to:
% 21.00/5.55 | (172) $false
% 21.00/5.55 |
% 21.00/5.55 |-The branch is then unsatisfiable
% 21.00/5.55 |-Branch two:
% 21.00/5.55 | (306) ~ (all_0_10_10 = e3)
% 21.00/5.55 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 21.00/5.55 |
% 21.00/5.56 +-Applying beta-rule and splitting (1231), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (730) all_0_10_10 = e2
% 21.00/5.56 |
% 21.00/5.56 | Equations (730) can reduce 985 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (985) ~ (all_0_10_10 = e2)
% 21.00/5.56 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (1235), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (242) all_0_10_10 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (242) can reduce 221 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (221) ~ (all_0_10_10 = e1)
% 21.00/5.56 | (395) all_0_10_10 = e0
% 21.00/5.56 |
% 21.00/5.56 | Equations (395) can reduce 40 to:
% 21.00/5.56 | (469) ~ (all_0_14_14 = e0)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 469 yields:
% 21.00/5.56 | (470) ~ (all_0_14_14 = e0)
% 21.00/5.56 |
% 21.00/5.56 | Equations (395) can reduce 221 to:
% 21.00/5.56 | (193) ~ (e1 = e0)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 193 yields:
% 21.00/5.56 | (157) ~ (e1 = e0)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (47), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (621) all_0_8_8 = e1
% 21.00/5.56 |
% 21.00/5.56 | Combining equations (621,200) yields a new equation:
% 21.00/5.56 | (556) e3 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (556) can reduce 163 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (196) ~ (all_0_8_8 = e1)
% 21.00/5.56 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (134), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (516) all_0_14_14 = e3
% 21.00/5.56 |
% 21.00/5.56 | Equations (516) can reduce 60 to:
% 21.00/5.56 | (206) ~ (all_0_12_12 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Equations (516) can reduce 71 to:
% 21.00/5.56 | (641) ~ (all_0_15_15 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 641 yields:
% 21.00/5.56 | (642) ~ (all_0_15_15 = e3)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (78), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (254) all_0_12_12 = e3
% 21.00/5.56 |
% 21.00/5.56 | Equations (254) can reduce 206 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (206) ~ (all_0_12_12 = e3)
% 21.00/5.56 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (751), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (411) all_0_9_9 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (411) can reduce 423 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (423) ~ (all_0_9_9 = e1)
% 21.00/5.56 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (381), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (385) all_0_12_12 = e2
% 21.00/5.56 |
% 21.00/5.56 | Equations (385) can reduce 30 to:
% 21.00/5.56 | (724) ~ (all_0_15_15 = e2)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 724 yields:
% 21.00/5.56 | (725) ~ (all_0_15_15 = e2)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (139), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (726) all_0_15_15 = e3
% 21.00/5.56 |
% 21.00/5.56 | Equations (726) can reduce 642 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (642) ~ (all_0_15_15 = e3)
% 21.00/5.56 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (900), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (242) all_0_10_10 = e1
% 21.00/5.56 |
% 21.00/5.56 | Combining equations (242,395) yields a new equation:
% 21.00/5.56 | (542) e1 = e0
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 542 yields:
% 21.00/5.56 | (543) e1 = e0
% 21.00/5.56 |
% 21.00/5.56 | Equations (543) can reduce 157 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (221) ~ (all_0_10_10 = e1)
% 21.00/5.56 | (418) all_0_11_11 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (418) can reduce 129 to:
% 21.00/5.56 | (4601) ~ (all_0_15_15 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 4601 yields:
% 21.00/5.56 | (536) ~ (all_0_15_15 = e1)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (729), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (752) all_0_15_15 = e2
% 21.00/5.56 |
% 21.00/5.56 | Equations (752) can reduce 725 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (725) ~ (all_0_15_15 = e2)
% 21.00/5.56 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (755), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (490) all_0_15_15 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (490) can reduce 536 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (536) ~ (all_0_15_15 = e1)
% 21.00/5.56 | (270) all_0_15_15 = e0
% 21.00/5.56 |
% 21.00/5.56 | Equations (270) can reduce 184 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (336) ~ (all_0_12_12 = e2)
% 21.00/5.56 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (388), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (389) all_0_12_12 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (389) can reduce 307 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (307) ~ (all_0_12_12 = e1)
% 21.00/5.56 | (392) all_0_12_12 = e0
% 21.00/5.56 |
% 21.00/5.56 | Equations (392) can reduce 606 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (308) ~ (all_0_14_14 = e3)
% 21.00/5.56 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (519), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (522) all_0_14_14 = e2
% 21.00/5.56 |
% 21.00/5.56 | Equations (522) can reduce 521 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (521) ~ (all_0_14_14 = e2)
% 21.00/5.56 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (525), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (262) all_0_14_14 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (262) can reduce 222 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (222) ~ (all_0_14_14 = e1)
% 21.00/5.56 | (529) all_0_14_14 = e0
% 21.00/5.56 |
% 21.00/5.56 | Equations (529) can reduce 470 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.56 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (4875), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (382) all_0_13_13 = e2
% 21.00/5.56 |
% 21.00/5.56 | Equations (382) can reduce 253 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.56 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (4885), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (220) all_0_18_18 = e1
% 21.00/5.56 |
% 21.00/5.56 | Combining equations (216,220) yields a new equation:
% 21.00/5.56 | (966) e2 = e1
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 966 yields:
% 21.00/5.56 | (742) e2 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (742) can reduce 75 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.56 | (182) all_0_23_23 = e0
% 21.00/5.56 |
% 21.00/5.56 | Combining equations (182,171) yields a new equation:
% 21.00/5.56 | (323) e3 = e0
% 21.00/5.56 |
% 21.00/5.56 | Equations (323) can reduce 3 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (975) ~ (all_0_22_22 = e1)
% 21.00/5.56 | (179) all_0_23_23 = e1
% 21.00/5.56 |
% 21.00/5.56 | Combining equations (179,171) yields a new equation:
% 21.00/5.56 | (556) e3 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (556) can reduce 163 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (514) ~ (all_0_21_21 = e2)
% 21.00/5.56 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (2022), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (554) all_0_21_21 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (554) can reduce 969 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (969) ~ (all_0_21_21 = e1)
% 21.00/5.56 | (1185) all_0_21_21 = e0
% 21.00/5.56 |
% 21.00/5.56 | Equations (1185) can reduce 187 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (302) all_0_18_18 = e0
% 21.00/5.56 | (458) all_0_19_19 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (302) can reduce 51 to:
% 21.00/5.56 | (426) ~ (all_0_10_10 = e0)
% 21.00/5.56 |
% 21.00/5.56 | Equations (458) can reduce 132 to:
% 21.00/5.56 | (413) ~ (all_0_11_11 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (302) can reduce 81 to:
% 21.00/5.56 | (470) ~ (all_0_14_14 = e0)
% 21.00/5.56 |
% 21.00/5.56 | Equations (458) can reduce 89 to:
% 21.00/5.56 | (536) ~ (all_0_15_15 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (302) can reduce 28 to:
% 21.00/5.56 | (612) ~ (all_0_16_16 = e0)
% 21.00/5.56 |
% 21.00/5.56 | Equations (458) can reduce 138 to:
% 21.00/5.56 | (770) ~ (all_0_16_16 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (302) can reduce 80 to:
% 21.00/5.56 | (1184) ~ (all_0_17_17 = e0)
% 21.00/5.56 |
% 21.00/5.56 | Equations (458) can reduce 10 to:
% 21.00/5.56 | (310) ~ (all_0_17_17 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (302) can reduce 119 to:
% 21.00/5.56 | (659) ~ (all_0_22_22 = e0)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 659 yields:
% 21.00/5.56 | (188) ~ (all_0_22_22 = e0)
% 21.00/5.56 |
% 21.00/5.56 | Equations (458) can reduce 317 to:
% 21.00/5.56 | (313) ~ (e3 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 313 yields:
% 21.00/5.56 | (163) ~ (e3 = e1)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (146), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (621) all_0_8_8 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (621) can reduce 196 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (196) ~ (all_0_8_8 = e1)
% 21.00/5.56 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (778), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (389) all_0_12_12 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (389) can reduce 158 to:
% 21.00/5.56 | (196) ~ (all_0_8_8 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (389) can reduce 93 to:
% 21.00/5.56 | (4597) ~ (all_0_13_13 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 4597 yields:
% 21.00/5.56 | (167) ~ (all_0_13_13 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (389) can reduce 60 to:
% 21.00/5.56 | (1573) ~ (all_0_14_14 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 1573 yields:
% 21.00/5.56 | (222) ~ (all_0_14_14 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (389) can reduce 30 to:
% 21.00/5.56 | (4601) ~ (all_0_15_15 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 4601 yields:
% 21.00/5.56 | (536) ~ (all_0_15_15 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (389) can reduce 45 to:
% 21.00/5.56 | (2507) ~ (all_0_16_16 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 2507 yields:
% 21.00/5.56 | (770) ~ (all_0_16_16 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (389) can reduce 606 to:
% 21.00/5.56 | (157) ~ (e1 = e0)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (82), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (337) ~ (all_0_13_13 = e3)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (165), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (254) all_0_12_12 = e3
% 21.00/5.56 |
% 21.00/5.56 | Combining equations (254,389) yields a new equation:
% 21.00/5.56 | (555) e3 = e1
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 555 yields:
% 21.00/5.56 | (556) e3 = e1
% 21.00/5.56 |
% 21.00/5.56 | Equations (556) can reduce 163 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (206) ~ (all_0_12_12 = e3)
% 21.00/5.56 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (714), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (347) all_0_13_13 = e3
% 21.00/5.56 |
% 21.00/5.56 | Equations (347) can reduce 337 to:
% 21.00/5.56 | (172) $false
% 21.00/5.56 |
% 21.00/5.56 |-The branch is then unsatisfiable
% 21.00/5.56 |-Branch two:
% 21.00/5.56 | (337) ~ (all_0_13_13 = e3)
% 21.00/5.56 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (1007), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (516) all_0_14_14 = e3
% 21.00/5.56 |
% 21.00/5.56 | Equations (516) can reduce 71 to:
% 21.00/5.56 | (641) ~ (all_0_15_15 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 641 yields:
% 21.00/5.56 | (642) ~ (all_0_15_15 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Equations (516) can reduce 160 to:
% 21.00/5.56 | (318) ~ (all_0_22_22 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 318 yields:
% 21.00/5.56 | (319) ~ (all_0_22_22 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Equations (516) can reduce 222 to:
% 21.00/5.56 | (163) ~ (e3 = e1)
% 21.00/5.56 |
% 21.00/5.56 | Equations (516) can reduce 470 to:
% 21.00/5.56 | (3) ~ (e3 = e0)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (73), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (198) ~ (all_0_8_8 = e2)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (26), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (200) all_0_8_8 = e3
% 21.00/5.56 |
% 21.00/5.56 | Equations (200) can reduce 124 to:
% 21.00/5.56 | (203) ~ (all_0_11_11 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 203 yields:
% 21.00/5.56 | (204) ~ (all_0_11_11 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Equations (200) can reduce 121 to:
% 21.00/5.56 | (207) ~ (all_0_16_16 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Simplifying 207 yields:
% 21.00/5.56 | (208) ~ (all_0_16_16 = e3)
% 21.00/5.56 |
% 21.00/5.56 | Equations (200) can reduce 198 to:
% 21.00/5.56 | (111) ~ (e3 = e2)
% 21.00/5.56 |
% 21.00/5.56 | Equations (200) can reduce 196 to:
% 21.00/5.56 | (163) ~ (e3 = e1)
% 21.00/5.56 |
% 21.00/5.56 +-Applying beta-rule and splitting (66), into two cases.
% 21.00/5.56 |-Branch one:
% 21.00/5.56 | (492) all_0_8_8 = e2
% 21.00/5.56 |
% 21.00/5.56 | Combining equations (200,492) yields a new equation:
% 21.00/5.57 | (511) e3 = e2
% 21.00/5.57 |
% 21.00/5.57 | Simplifying 511 yields:
% 21.00/5.57 | (352) e3 = e2
% 21.00/5.57 |
% 21.00/5.57 | Equations (352) can reduce 111 to:
% 21.00/5.57 | (172) $false
% 21.00/5.57 |
% 21.00/5.57 |-The branch is then unsatisfiable
% 21.00/5.57 |-Branch two:
% 21.00/5.57 | (198) ~ (all_0_8_8 = e2)
% 21.00/5.57 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (97), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (277) all_0_16_16 = e3
% 21.00/5.57 |
% 21.00/5.57 | Equations (277) can reduce 208 to:
% 21.00/5.57 | (172) $false
% 21.00/5.57 |
% 21.00/5.57 |-The branch is then unsatisfiable
% 21.00/5.57 |-Branch two:
% 21.00/5.57 | (208) ~ (all_0_16_16 = e3)
% 21.00/5.57 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (77), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (277) all_0_16_16 = e3
% 21.00/5.57 |
% 21.00/5.57 | Equations (277) can reduce 208 to:
% 21.00/5.57 | (172) $false
% 21.00/5.57 |
% 21.00/5.57 |-The branch is then unsatisfiable
% 21.00/5.57 |-Branch two:
% 21.00/5.57 | (208) ~ (all_0_16_16 = e3)
% 21.00/5.57 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (1810), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (685) all_0_16_16 = e2
% 21.00/5.57 |
% 21.00/5.57 | Equations (685) can reduce 144 to:
% 21.00/5.57 | (2237) ~ (all_0_17_17 = e2)
% 21.00/5.57 |
% 21.00/5.57 | Simplifying 2237 yields:
% 21.00/5.57 | (344) ~ (all_0_17_17 = e2)
% 21.00/5.57 |
% 21.00/5.57 | Equations (685) can reduce 208 to:
% 21.00/5.57 | (345) ~ (e3 = e2)
% 21.00/5.57 |
% 21.00/5.57 | Simplifying 345 yields:
% 21.00/5.57 | (111) ~ (e3 = e2)
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (99), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (223), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (224), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (225), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (226), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (227), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (228), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (229), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.00/5.57 |
% 21.00/5.57 +-Applying beta-rule and splitting (230), into two cases.
% 21.00/5.57 |-Branch one:
% 21.00/5.57 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.57 |
% 21.00/5.57 | Applying alpha-rule on (231) yields:
% 21.00/5.57 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.57 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.57 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.57 | (235) all_0_9_9 = e2
% 21.00/5.57 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.57 |
% 21.00/5.57 | Equations (200) can reduce 232 to:
% 21.00/5.57 | (172) $false
% 21.00/5.57 |
% 21.00/5.57 |-The branch is then unsatisfiable
% 21.00/5.57 |-Branch two:
% 21.00/5.57 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.57 |
% 21.00/5.57 | Applying alpha-rule on (238) yields:
% 21.00/5.57 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.57 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.57 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.57 | (242) all_0_10_10 = e1
% 21.00/5.57 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.57 |
% 21.00/5.57 | Equations (200) can reduce 232 to:
% 21.00/5.57 | (172) $false
% 21.00/5.57 |
% 21.00/5.57 |-The branch is then unsatisfiable
% 21.00/5.57 |-Branch two:
% 21.00/5.57 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.00/5.57 |
% 21.00/5.57 | Applying alpha-rule on (245) yields:
% 21.00/5.57 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.57 | (247) all_0_11_11 = e0
% 21.00/5.57 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.00/5.57 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.00/5.57 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.00/5.57 |
% 21.00/5.57 | Equations (200) can reduce 232 to:
% 21.00/5.57 | (172) $false
% 21.00/5.57 |
% 21.00/5.57 |-The branch is then unsatisfiable
% 21.00/5.57 |-Branch two:
% 21.00/5.57 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.57 |
% 21.00/5.57 | Applying alpha-rule on (252) yields:
% 21.00/5.57 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.57 | (254) all_0_12_12 = e3
% 21.00/5.57 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.57 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.57 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.57 |
% 21.00/5.57 | Combining equations (254,389) yields a new equation:
% 21.00/5.57 | (555) e3 = e1
% 21.00/5.57 |
% 21.00/5.57 | Simplifying 555 yields:
% 21.00/5.57 | (556) e3 = e1
% 21.00/5.57 |
% 21.00/5.57 | Equations (556) can reduce 163 to:
% 21.00/5.57 | (172) $false
% 21.00/5.57 |
% 21.00/5.57 |-The branch is then unsatisfiable
% 21.00/5.57 |-Branch two:
% 21.00/5.57 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.57 |
% 21.00/5.57 | Applying alpha-rule on (259) yields:
% 21.00/5.57 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.57 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.57 | (262) all_0_14_14 = e1
% 21.00/5.57 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.57 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.57 |
% 21.00/5.57 | Combining equations (516,262) yields a new equation:
% 21.00/5.57 | (555) e3 = e1
% 21.00/5.57 |
% 21.00/5.57 | Simplifying 555 yields:
% 21.00/5.57 | (556) e3 = e1
% 21.00/5.57 |
% 21.00/5.57 | Equations (556) can reduce 163 to:
% 21.00/5.57 | (172) $false
% 21.00/5.57 |
% 21.00/5.57 |-The branch is then unsatisfiable
% 21.00/5.57 |-Branch two:
% 21.00/5.57 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.00/5.57 |
% 21.00/5.57 | Applying alpha-rule on (266) yields:
% 21.00/5.57 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.57 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.00/5.58 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.00/5.58 | (270) all_0_15_15 = e0
% 21.00/5.58 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.00/5.58 |
% 21.00/5.58 | Equations (270) can reduce 129 to:
% 21.00/5.58 | (183) ~ (all_0_11_11 = e0)
% 21.00/5.58 |
% 21.00/5.58 | Equations (270) can reduce 135 to:
% 21.00/5.58 | (373) ~ (all_0_13_13 = e0)
% 21.00/5.58 |
% 21.00/5.58 | Equations (270) can reduce 536 to:
% 21.00/5.58 | (193) ~ (e1 = e0)
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 193 yields:
% 21.00/5.58 | (157) ~ (e1 = e0)
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (95), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (399) all_0_11_11 = e3
% 21.00/5.58 |
% 21.00/5.58 | Equations (399) can reduce 204 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (204) ~ (all_0_11_11 = e3)
% 21.00/5.58 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (402), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (414) all_0_11_11 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (414) can reduce 54 to:
% 21.00/5.58 | (383) ~ (all_0_9_9 = e2)
% 21.00/5.58 |
% 21.00/5.58 | Equations (414) can reduce 23 to:
% 21.00/5.58 | (985) ~ (all_0_10_10 = e2)
% 21.00/5.58 |
% 21.00/5.58 | Equations (414) can reduce 413 to:
% 21.00/5.58 | (75) ~ (e2 = e1)
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (61), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (235) all_0_9_9 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (235) can reduce 383 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (383) ~ (all_0_9_9 = e2)
% 21.00/5.58 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (930), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (382) all_0_13_13 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (382) can reduce 253 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.58 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (939), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (282) all_0_17_17 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (282) can reduce 344 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (344) ~ (all_0_17_17 = e2)
% 21.00/5.58 | (510) all_0_21_21 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (510) can reduce 74 to:
% 21.00/5.58 | (383) ~ (all_0_9_9 = e2)
% 21.00/5.58 |
% 21.00/5.58 | Equations (510) can reduce 150 to:
% 21.00/5.58 | (2581) ~ (all_0_22_22 = e2)
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 2581 yields:
% 21.00/5.58 | (531) ~ (all_0_22_22 = e2)
% 21.00/5.58 |
% 21.00/5.58 | Equations (510) can reduce 449 to:
% 21.00/5.58 | (345) ~ (e3 = e2)
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 345 yields:
% 21.00/5.58 | (111) ~ (e3 = e2)
% 21.00/5.58 |
% 21.00/5.58 | Equations (510) can reduce 187 to:
% 21.00/5.58 | (29) ~ (e2 = e0)
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (68), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (730) all_0_10_10 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (730) can reduce 985 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (985) ~ (all_0_10_10 = e2)
% 21.00/5.58 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (986), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (522) all_0_14_14 = e2
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (522,516) yields a new equation:
% 21.00/5.58 | (352) e3 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (352) can reduce 111 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (521) ~ (all_0_14_14 = e2)
% 21.00/5.58 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (128), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (952) all_0_20_20 = e1
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (613,952) yields a new equation:
% 21.00/5.58 | (543) e1 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (543) can reduce 157 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (963) ~ (all_0_20_20 = e1)
% 21.00/5.58 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (34), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (424) all_0_9_9 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (424) can reduce 383 to:
% 21.00/5.58 | (191) ~ (e2 = e0)
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 191 yields:
% 21.00/5.58 | (29) ~ (e2 = e0)
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (964), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (554) all_0_21_21 = e1
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (510,554) yields a new equation:
% 21.00/5.58 | (966) e2 = e1
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 966 yields:
% 21.00/5.58 | (742) e2 = e1
% 21.00/5.58 |
% 21.00/5.58 | Equations (742) can reduce 75 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (969) ~ (all_0_21_21 = e1)
% 21.00/5.58 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (970), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (864) all_0_22_22 = e1
% 21.00/5.58 |
% 21.00/5.58 | Equations (864) can reduce 531 to:
% 21.00/5.58 | (924) ~ (e2 = e1)
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 924 yields:
% 21.00/5.58 | (75) ~ (e2 = e1)
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (999), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (216) all_0_18_18 = e2
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (302,216) yields a new equation:
% 21.00/5.58 | (500) e2 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (500) can reduce 29 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (195) ~ (all_0_18_18 = e2)
% 21.00/5.58 | (520) all_0_22_22 = e2
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (864,520) yields a new equation:
% 21.00/5.58 | (742) e2 = e1
% 21.00/5.58 |
% 21.00/5.58 | Equations (742) can reduce 75 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (975) ~ (all_0_22_22 = e1)
% 21.00/5.58 | (179) all_0_23_23 = e1
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (171,179) yields a new equation:
% 21.00/5.58 | (555) e3 = e1
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 555 yields:
% 21.00/5.58 | (556) e3 = e1
% 21.00/5.58 |
% 21.00/5.58 | Equations (556) can reduce 163 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (372) ~ (all_0_9_9 = e0)
% 21.00/5.58 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (664), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (447) all_0_13_13 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (447) can reduce 373 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (373) ~ (all_0_13_13 = e0)
% 21.00/5.58 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (668), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (371) all_0_17_17 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (371) can reduce 1184 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (1184) ~ (all_0_17_17 = e0)
% 21.00/5.58 | (1185) all_0_21_21 = e0
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (510,1185) yields a new equation:
% 21.00/5.58 | (499) e2 = e0
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 499 yields:
% 21.00/5.58 | (500) e2 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (500) can reduce 29 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (343) ~ (all_0_11_11 = e2)
% 21.00/5.58 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (417), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (418) all_0_11_11 = e1
% 21.00/5.58 |
% 21.00/5.58 | Equations (418) can reduce 413 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (413) ~ (all_0_11_11 = e1)
% 21.00/5.58 | (247) all_0_11_11 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (247) can reduce 183 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.58 |
% 21.00/5.58 | Applying alpha-rule on (273) yields:
% 21.00/5.58 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.58 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.58 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.58 | (277) all_0_16_16 = e3
% 21.00/5.58 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (685,277) yields a new equation:
% 21.00/5.58 | (352) e3 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (352) can reduce 111 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.58 |
% 21.00/5.58 | Applying alpha-rule on (280) yields:
% 21.00/5.58 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.58 | (282) all_0_17_17 = e2
% 21.00/5.58 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.58 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.58 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.58 |
% 21.00/5.58 | Equations (282) can reduce 344 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.00/5.58 |
% 21.00/5.58 | Applying alpha-rule on (287) yields:
% 21.00/5.58 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.00/5.58 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.58 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.00/5.58 | (291) all_0_19_19 = e0
% 21.00/5.58 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (291,458) yields a new equation:
% 21.00/5.58 | (543) e1 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (543) can reduce 157 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.00/5.58 |
% 21.00/5.58 | Applying alpha-rule on (294) yields:
% 21.00/5.58 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.00/5.58 | (296) ~ (all_0_23_23 = e0)
% 21.00/5.58 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.00/5.58 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.00/5.58 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (297), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (312) ~ (all_0_19_19 = e1)
% 21.00/5.58 |
% 21.00/5.58 | Equations (458) can reduce 312 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (458) all_0_19_19 = e1
% 21.00/5.58 | (197) ~ (all_0_18_18 = e0)
% 21.00/5.58 |
% 21.00/5.58 | Equations (302) can reduce 197 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (688) ~ (all_0_16_16 = e2)
% 21.00/5.58 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (2231), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (385) all_0_12_12 = e2
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (385,389) yields a new equation:
% 21.00/5.58 | (966) e2 = e1
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 966 yields:
% 21.00/5.58 | (742) e2 = e1
% 21.00/5.58 |
% 21.00/5.58 | Equations (742) can reduce 75 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (336) ~ (all_0_12_12 = e2)
% 21.00/5.58 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (2235), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (685) all_0_16_16 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (685) can reduce 688 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (688) ~ (all_0_16_16 = e2)
% 21.00/5.58 | (335) all_0_20_20 = e2
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (613,335) yields a new equation:
% 21.00/5.58 | (500) e2 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (500) can reduce 29 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.58 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (37), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (200) all_0_8_8 = e3
% 21.00/5.58 |
% 21.00/5.58 | Equations (200) can reduce 232 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (232) ~ (all_0_8_8 = e3)
% 21.00/5.58 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (4875), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (382) all_0_13_13 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (382) can reduce 167 to:
% 21.00/5.58 | (75) ~ (e2 = e1)
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (17), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (335) all_0_20_20 = e2
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (613,335) yields a new equation:
% 21.00/5.58 | (500) e2 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (500) can reduce 29 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (466) ~ (all_0_20_20 = e2)
% 21.00/5.58 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (613) can reduce 466 to:
% 21.00/5.58 | (191) ~ (e2 = e0)
% 21.00/5.58 |
% 21.00/5.58 | Simplifying 191 yields:
% 21.00/5.58 | (29) ~ (e2 = e0)
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (66), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (492) all_0_8_8 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (492) can reduce 198 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (198) ~ (all_0_8_8 = e2)
% 21.00/5.58 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (2231), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (385) all_0_12_12 = e2
% 21.00/5.58 |
% 21.00/5.58 | Combining equations (389,385) yields a new equation:
% 21.00/5.58 | (742) e2 = e1
% 21.00/5.58 |
% 21.00/5.58 | Equations (742) can reduce 75 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (336) ~ (all_0_12_12 = e2)
% 21.00/5.58 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (2235), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (685) all_0_16_16 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (685) can reduce 121 to:
% 21.00/5.58 | (198) ~ (all_0_8_8 = e2)
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (616), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (492) all_0_8_8 = e2
% 21.00/5.58 |
% 21.00/5.58 | Equations (492) can reduce 198 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (198) ~ (all_0_8_8 = e2)
% 21.00/5.58 | (620) all_0_8_8 = e1 | all_0_8_8 = e0
% 21.00/5.58 |
% 21.00/5.58 +-Applying beta-rule and splitting (620), into two cases.
% 21.00/5.58 |-Branch one:
% 21.00/5.58 | (621) all_0_8_8 = e1
% 21.00/5.58 |
% 21.00/5.58 | Equations (621) can reduce 196 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.58 |-Branch two:
% 21.00/5.58 | (196) ~ (all_0_8_8 = e1)
% 21.00/5.58 | (322) all_0_8_8 = e0
% 21.00/5.58 |
% 21.00/5.58 | Equations (322) can reduce 199 to:
% 21.00/5.58 | (172) $false
% 21.00/5.58 |
% 21.00/5.58 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (688) ~ (all_0_16_16 = e2)
% 21.00/5.59 | (335) all_0_20_20 = e2
% 21.00/5.59 |
% 21.00/5.59 | Combining equations (613,335) yields a new equation:
% 21.00/5.59 | (500) e2 = e0
% 21.00/5.59 |
% 21.00/5.59 | Equations (500) can reduce 29 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.59 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (4885), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (220) all_0_18_18 = e1
% 21.00/5.59 |
% 21.00/5.59 | Combining equations (302,220) yields a new equation:
% 21.00/5.59 | (543) e1 = e0
% 21.00/5.59 |
% 21.00/5.59 | Equations (543) can reduce 157 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (275) ~ (all_0_18_18 = e1)
% 21.00/5.59 | (182) all_0_23_23 = e0
% 21.00/5.59 |
% 21.00/5.59 | Combining equations (182,171) yields a new equation:
% 21.00/5.59 | (323) e3 = e0
% 21.00/5.59 |
% 21.00/5.59 | Equations (323) can reduce 3 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (492) all_0_8_8 = e2
% 21.00/5.59 | (338) all_0_9_9 = e3
% 21.00/5.59 |
% 21.00/5.59 | Equations (492,338) can reduce 116 to:
% 21.00/5.59 | (345) ~ (e3 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 345 yields:
% 21.00/5.59 | (111) ~ (e3 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Equations (492) can reduce 24 to:
% 21.00/5.59 | (1208) ~ (all_0_10_10 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 1208 yields:
% 21.00/5.59 | (985) ~ (all_0_10_10 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Equations (492) can reduce 124 to:
% 21.00/5.59 | (1210) ~ (all_0_11_11 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 1210 yields:
% 21.00/5.59 | (343) ~ (all_0_11_11 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Equations (492) can reduce 121 to:
% 21.00/5.59 | (5415) ~ (all_0_16_16 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 5415 yields:
% 21.00/5.59 | (688) ~ (all_0_16_16 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Equations (492) can reduce 196 to:
% 21.00/5.59 | (75) ~ (e2 = e1)
% 21.00/5.59 |
% 21.00/5.59 | Equations (492) can reduce 199 to:
% 21.00/5.59 | (29) ~ (e2 = e0)
% 21.00/5.59 |
% 21.00/5.59 | Equations (338) can reduce 54 to:
% 21.00/5.59 | (203) ~ (all_0_11_11 = e3)
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 203 yields:
% 21.00/5.59 | (204) ~ (all_0_11_11 = e3)
% 21.00/5.59 |
% 21.00/5.59 | Equations (338) can reduce 74 to:
% 21.00/5.59 | (1837) ~ (all_0_21_21 = e3)
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 1837 yields:
% 21.00/5.59 | (449) ~ (all_0_21_21 = e3)
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (95), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (399) all_0_11_11 = e3
% 21.00/5.59 |
% 21.00/5.59 | Equations (399) can reduce 204 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (204) ~ (all_0_11_11 = e3)
% 21.00/5.59 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (68), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (730) all_0_10_10 = e2
% 21.00/5.59 |
% 21.00/5.59 | Equations (730) can reduce 985 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (985) ~ (all_0_10_10 = e2)
% 21.00/5.59 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (986), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (522) all_0_14_14 = e2
% 21.00/5.59 |
% 21.00/5.59 | Combining equations (516,522) yields a new equation:
% 21.00/5.59 | (511) e3 = e2
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 511 yields:
% 21.00/5.59 | (352) e3 = e2
% 21.00/5.59 |
% 21.00/5.59 | Equations (352) can reduce 111 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (521) ~ (all_0_14_14 = e2)
% 21.00/5.59 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (999), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (216) all_0_18_18 = e2
% 21.00/5.59 |
% 21.00/5.59 | Combining equations (302,216) yields a new equation:
% 21.00/5.59 | (500) e2 = e0
% 21.00/5.59 |
% 21.00/5.59 | Equations (500) can reduce 29 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (195) ~ (all_0_18_18 = e2)
% 21.00/5.59 | (520) all_0_22_22 = e2
% 21.00/5.59 |
% 21.00/5.59 | Equations (520) can reduce 72 to:
% 21.00/5.59 | (985) ~ (all_0_10_10 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Equations (520) can reduce 319 to:
% 21.00/5.59 | (345) ~ (e3 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 345 yields:
% 21.00/5.59 | (111) ~ (e3 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Equations (520) can reduce 188 to:
% 21.00/5.59 | (29) ~ (e2 = e0)
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (21), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (411) all_0_9_9 = e1
% 21.00/5.59 |
% 21.00/5.59 | Combining equations (411,338) yields a new equation:
% 21.00/5.59 | (556) e3 = e1
% 21.00/5.59 |
% 21.00/5.59 | Equations (556) can reduce 163 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (423) ~ (all_0_9_9 = e1)
% 21.00/5.59 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (63), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (322) all_0_8_8 = e0
% 21.00/5.59 |
% 21.00/5.59 | Combining equations (322,492) yields a new equation:
% 21.00/5.59 | (500) e2 = e0
% 21.00/5.59 |
% 21.00/5.59 | Equations (500) can reduce 29 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (199) ~ (all_0_8_8 = e0)
% 21.00/5.59 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (9), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (414) all_0_11_11 = e2
% 21.00/5.59 |
% 21.00/5.59 | Equations (414) can reduce 343 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (343) ~ (all_0_11_11 = e2)
% 21.00/5.59 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (432), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (424) all_0_9_9 = e0
% 21.00/5.59 |
% 21.00/5.59 | Combining equations (424,338) yields a new equation:
% 21.00/5.59 | (323) e3 = e0
% 21.00/5.59 |
% 21.00/5.59 | Equations (323) can reduce 3 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (372) ~ (all_0_9_9 = e0)
% 21.00/5.59 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (1762), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (752) all_0_15_15 = e2
% 21.00/5.59 |
% 21.00/5.59 | Equations (752) can reduce 135 to:
% 21.00/5.59 | (253) ~ (all_0_13_13 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Equations (752) can reduce 642 to:
% 21.00/5.59 | (345) ~ (e3 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 345 yields:
% 21.00/5.59 | (111) ~ (e3 = e2)
% 21.00/5.59 |
% 21.00/5.59 | Equations (752) can reduce 536 to:
% 21.00/5.59 | (75) ~ (e2 = e1)
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (436), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (395) all_0_10_10 = e0
% 21.00/5.59 |
% 21.00/5.59 | Equations (395) can reduce 426 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (426) ~ (all_0_10_10 = e0)
% 21.00/5.59 | (247) all_0_11_11 = e0
% 21.00/5.59 |
% 21.00/5.59 | Equations (247) can reduce 23 to:
% 21.00/5.59 | (426) ~ (all_0_10_10 = e0)
% 21.00/5.59 |
% 21.00/5.59 | Equations (247) can reduce 204 to:
% 21.00/5.59 | (189) ~ (e3 = e0)
% 21.00/5.59 |
% 21.00/5.59 | Simplifying 189 yields:
% 21.00/5.59 | (3) ~ (e3 = e0)
% 21.00/5.59 |
% 21.00/5.59 +-Applying beta-rule and splitting (61), into two cases.
% 21.00/5.59 |-Branch one:
% 21.00/5.59 | (235) all_0_9_9 = e2
% 21.00/5.59 |
% 21.00/5.59 | Combining equations (235,338) yields a new equation:
% 21.00/5.59 | (352) e3 = e2
% 21.00/5.59 |
% 21.00/5.59 | Equations (352) can reduce 111 to:
% 21.00/5.59 | (172) $false
% 21.00/5.59 |
% 21.00/5.59 |-The branch is then unsatisfiable
% 21.00/5.59 |-Branch two:
% 21.00/5.59 | (383) ~ (all_0_9_9 = e2)
% 21.35/5.59 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (338) can reduce 383 to:
% 21.35/5.59 | (111) ~ (e3 = e2)
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (37), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (200) all_0_8_8 = e3
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (200,492) yields a new equation:
% 21.35/5.59 | (511) e3 = e2
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 511 yields:
% 21.35/5.59 | (352) e3 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (352) can reduce 111 to:
% 21.35/5.59 | (172) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (232) ~ (all_0_8_8 = e3)
% 21.35/5.59 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (47), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (621) all_0_8_8 = e1
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (621,492) yields a new equation:
% 21.35/5.59 | (742) e2 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (742) can reduce 75 to:
% 21.35/5.59 | (172) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (196) ~ (all_0_8_8 = e1)
% 21.35/5.59 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (34), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (424) all_0_9_9 = e0
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (424,338) yields a new equation:
% 21.35/5.59 | (323) e3 = e0
% 21.35/5.59 |
% 21.35/5.59 | Equations (323) can reduce 3 to:
% 21.35/5.59 | (172) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (372) ~ (all_0_9_9 = e0)
% 21.35/5.59 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (546), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (444) all_0_13_13 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (444) can reduce 167 to:
% 21.35/5.59 | (172) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (167) ~ (all_0_13_13 = e1)
% 21.35/5.59 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (664), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (447) all_0_13_13 = e0
% 21.35/5.59 |
% 21.35/5.59 | Equations (447) can reduce 5 to:
% 21.35/5.59 | (1781) ~ (all_0_17_17 = e0)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 1781 yields:
% 21.35/5.59 | (1184) ~ (all_0_17_17 = e0)
% 21.35/5.59 |
% 21.35/5.59 | Equations (447) can reduce 104 to:
% 21.35/5.59 | (1547) ~ (all_0_21_21 = e0)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 1547 yields:
% 21.35/5.59 | (187) ~ (all_0_21_21 = e0)
% 21.35/5.59 |
% 21.35/5.59 | Equations (447) can reduce 253 to:
% 21.35/5.59 | (191) ~ (e2 = e0)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 191 yields:
% 21.35/5.59 | (29) ~ (e2 = e0)
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (550), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (368) all_0_17_17 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (368) can reduce 310 to:
% 21.35/5.59 | (172) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (310) ~ (all_0_17_17 = e1)
% 21.35/5.59 | (554) all_0_21_21 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (554) can reduce 76 to:
% 21.35/5.59 | (310) ~ (all_0_17_17 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Equations (554) can reduce 449 to:
% 21.35/5.59 | (313) ~ (e3 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 313 yields:
% 21.35/5.59 | (163) ~ (e3 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Equations (554) can reduce 187 to:
% 21.35/5.59 | (157) ~ (e1 = e0)
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (751), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (411) all_0_9_9 = e1
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (411,338) yields a new equation:
% 21.35/5.59 | (556) e3 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (556) can reduce 163 to:
% 21.35/5.59 | (172) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (423) ~ (all_0_9_9 = e1)
% 21.35/5.59 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (49), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (242) all_0_10_10 = e1
% 21.35/5.59 |
% 21.35/5.59 | Equations (242) can reduce 985 to:
% 21.35/5.59 | (924) ~ (e2 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 924 yields:
% 21.35/5.59 | (75) ~ (e2 = e1)
% 21.35/5.59 |
% 21.35/5.59 | Equations (242) can reduce 426 to:
% 21.35/5.59 | (157) ~ (e1 = e0)
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (97), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (277) all_0_16_16 = e3
% 21.35/5.59 |
% 21.35/5.59 | Equations (277) can reduce 144 to:
% 21.35/5.59 | (2518) ~ (all_0_17_17 = e3)
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 2518 yields:
% 21.35/5.59 | (315) ~ (all_0_17_17 = e3)
% 21.35/5.59 |
% 21.35/5.59 | Equations (277) can reduce 612 to:
% 21.35/5.59 | (3) ~ (e3 = e0)
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (133), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (360) all_0_17_17 = e3
% 21.35/5.59 |
% 21.35/5.59 | Equations (360) can reduce 315 to:
% 21.35/5.59 | (172) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (315) ~ (all_0_17_17 = e3)
% 21.35/5.59 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (363), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (282) all_0_17_17 = e2
% 21.35/5.59 |
% 21.35/5.59 | Equations (282) can reduce 1184 to:
% 21.35/5.59 | (29) ~ (e2 = e0)
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (4875), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (382) all_0_13_13 = e2
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (382,447) yields a new equation:
% 21.35/5.59 | (499) e2 = e0
% 21.35/5.59 |
% 21.35/5.59 | Simplifying 499 yields:
% 21.35/5.59 | (500) e2 = e0
% 21.35/5.59 |
% 21.35/5.59 | Equations (500) can reduce 29 to:
% 21.35/5.59 | (172) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (253) ~ (all_0_13_13 = e2)
% 21.35/5.59 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 21.35/5.59 |
% 21.35/5.59 +-Applying beta-rule and splitting (4885), into two cases.
% 21.35/5.59 |-Branch one:
% 21.35/5.59 | (220) all_0_18_18 = e1
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (302,220) yields a new equation:
% 21.35/5.59 | (543) e1 = e0
% 21.35/5.59 |
% 21.35/5.59 | Equations (543) can reduce 157 to:
% 21.35/5.59 | (172) $false
% 21.35/5.59 |
% 21.35/5.59 |-The branch is then unsatisfiable
% 21.35/5.59 |-Branch two:
% 21.35/5.59 | (275) ~ (all_0_18_18 = e1)
% 21.35/5.59 | (182) all_0_23_23 = e0
% 21.35/5.59 |
% 21.35/5.59 | Combining equations (182,171) yields a new equation:
% 21.35/5.59 | (323) e3 = e0
% 21.35/5.59 |
% 21.35/5.59 | Equations (323) can reduce 3 to:
% 21.35/5.59 | (172) $false
% 21.36/5.59 |
% 21.36/5.59 |-The branch is then unsatisfiable
% 21.36/5.59 |-Branch two:
% 21.36/5.59 | (344) ~ (all_0_17_17 = e2)
% 21.36/5.59 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 21.36/5.59 |
% 21.36/5.59 +-Applying beta-rule and splitting (367), into two cases.
% 21.36/5.59 |-Branch one:
% 21.36/5.59 | (368) all_0_17_17 = e1
% 21.36/5.59 |
% 21.36/5.59 | Equations (368) can reduce 310 to:
% 21.36/5.59 | (172) $false
% 21.36/5.59 |
% 21.36/5.59 |-The branch is then unsatisfiable
% 21.36/5.59 |-Branch two:
% 21.36/5.59 | (310) ~ (all_0_17_17 = e1)
% 21.36/5.59 | (371) all_0_17_17 = e0
% 21.36/5.59 |
% 21.36/5.59 | Equations (371) can reduce 1184 to:
% 21.36/5.59 | (172) $false
% 21.36/5.59 |
% 21.36/5.59 |-The branch is then unsatisfiable
% 21.36/5.59 |-Branch two:
% 21.36/5.59 | (208) ~ (all_0_16_16 = e3)
% 21.36/5.59 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.36/5.59 |
% 21.36/5.59 +-Applying beta-rule and splitting (113), into two cases.
% 21.36/5.59 |-Branch one:
% 21.36/5.59 | (685) all_0_16_16 = e2
% 21.36/5.59 |
% 21.36/5.59 | Equations (685) can reduce 688 to:
% 21.36/5.59 | (172) $false
% 21.36/5.59 |
% 21.36/5.59 |-The branch is then unsatisfiable
% 21.36/5.59 |-Branch two:
% 21.36/5.59 | (688) ~ (all_0_16_16 = e2)
% 21.36/5.59 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 21.36/5.59 |
% 21.36/5.59 +-Applying beta-rule and splitting (930), into two cases.
% 21.36/5.59 |-Branch one:
% 21.36/5.59 | (382) all_0_13_13 = e2
% 21.36/5.59 |
% 21.36/5.59 | Combining equations (447,382) yields a new equation:
% 21.36/5.59 | (500) e2 = e0
% 21.36/5.60 |
% 21.36/5.60 | Equations (500) can reduce 29 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (253) ~ (all_0_13_13 = e2)
% 21.36/5.60 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (689), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (282) all_0_17_17 = e2
% 21.36/5.60 |
% 21.36/5.60 | Equations (282) can reduce 144 to:
% 21.36/5.60 | (688) ~ (all_0_16_16 = e2)
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (1810), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (685) all_0_16_16 = e2
% 21.36/5.60 |
% 21.36/5.60 | Equations (685) can reduce 688 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (688) ~ (all_0_16_16 = e2)
% 21.36/5.60 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (2108), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (305) all_0_16_16 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (305) can reduce 770 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (770) ~ (all_0_16_16 = e1)
% 21.36/5.60 | (608) all_0_16_16 = e0
% 21.36/5.60 |
% 21.36/5.60 | Equations (608) can reduce 612 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (344) ~ (all_0_17_17 = e2)
% 21.36/5.60 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (939), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (282) all_0_17_17 = e2
% 21.36/5.60 |
% 21.36/5.60 | Equations (282) can reduce 344 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (344) ~ (all_0_17_17 = e2)
% 21.36/5.60 | (510) all_0_21_21 = e2
% 21.36/5.60 |
% 21.36/5.60 | Combining equations (554,510) yields a new equation:
% 21.36/5.60 | (742) e2 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (742) can reduce 75 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (221) ~ (all_0_10_10 = e1)
% 21.36/5.60 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (900), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (242) all_0_10_10 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (242) can reduce 221 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (221) ~ (all_0_10_10 = e1)
% 21.36/5.60 | (418) all_0_11_11 = e1
% 21.36/5.60 |
% 21.36/5.60 | Combining equations (247,418) yields a new equation:
% 21.36/5.60 | (543) e1 = e0
% 21.36/5.60 |
% 21.36/5.60 | Equations (543) can reduce 157 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (373) ~ (all_0_13_13 = e0)
% 21.36/5.60 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (550), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (368) all_0_17_17 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (368) can reduce 310 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (310) ~ (all_0_17_17 = e1)
% 21.36/5.60 | (554) all_0_21_21 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (554) can reduce 187 to:
% 21.36/5.60 | (157) ~ (e1 = e0)
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (668), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (371) all_0_17_17 = e0
% 21.36/5.60 |
% 21.36/5.60 | Equations (371) can reduce 1184 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (1184) ~ (all_0_17_17 = e0)
% 21.36/5.60 | (1185) all_0_21_21 = e0
% 21.36/5.60 |
% 21.36/5.60 | Combining equations (554,1185) yields a new equation:
% 21.36/5.60 | (542) e1 = e0
% 21.36/5.60 |
% 21.36/5.60 | Simplifying 542 yields:
% 21.36/5.60 | (543) e1 = e0
% 21.36/5.60 |
% 21.36/5.60 | Equations (543) can reduce 157 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (725) ~ (all_0_15_15 = e2)
% 21.36/5.60 | (3443) all_0_19_19 = e2 | all_0_23_23 = e2
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (3443), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (342) all_0_19_19 = e2
% 21.36/5.60 |
% 21.36/5.60 | Combining equations (458,342) yields a new equation:
% 21.36/5.60 | (742) e2 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (742) can reduce 75 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (456) ~ (all_0_19_19 = e2)
% 21.36/5.60 | (175) all_0_23_23 = e2
% 21.36/5.60 |
% 21.36/5.60 | Combining equations (171,175) yields a new equation:
% 21.36/5.60 | (511) e3 = e2
% 21.36/5.60 |
% 21.36/5.60 | Simplifying 511 yields:
% 21.36/5.60 | (352) e3 = e2
% 21.36/5.60 |
% 21.36/5.60 | Equations (352) can reduce 111 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (308) ~ (all_0_14_14 = e3)
% 21.36/5.60 | (726) all_0_15_15 = e3
% 21.36/5.60 |
% 21.36/5.60 | Equations (726) can reduce 642 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (347) all_0_13_13 = e3
% 21.36/5.60 | (385) all_0_12_12 = e2
% 21.36/5.60 |
% 21.36/5.60 | Combining equations (385,389) yields a new equation:
% 21.36/5.60 | (966) e2 = e1
% 21.36/5.60 |
% 21.36/5.60 | Simplifying 966 yields:
% 21.36/5.60 | (742) e2 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (742) can reduce 75 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (307) ~ (all_0_12_12 = e1)
% 21.36/5.60 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (148), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (389) all_0_12_12 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (389) can reduce 307 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (307) ~ (all_0_12_12 = e1)
% 21.36/5.60 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (1399), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (444) all_0_13_13 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (444) can reduce 167 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (167) ~ (all_0_13_13 = e1)
% 21.36/5.60 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (1715), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (262) all_0_14_14 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (262) can reduce 470 to:
% 21.36/5.60 | (157) ~ (e1 = e0)
% 21.36/5.60 |
% 21.36/5.60 +-Applying beta-rule and splitting (2268), into two cases.
% 21.36/5.60 |-Branch one:
% 21.36/5.60 | (305) all_0_16_16 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (305) can reduce 770 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (770) ~ (all_0_16_16 = e1)
% 21.36/5.60 | (952) all_0_20_20 = e1
% 21.36/5.60 |
% 21.36/5.60 | Combining equations (952,613) yields a new equation:
% 21.36/5.60 | (542) e1 = e0
% 21.36/5.60 |
% 21.36/5.60 | Simplifying 542 yields:
% 21.36/5.60 | (543) e1 = e0
% 21.36/5.60 |
% 21.36/5.60 | Equations (543) can reduce 157 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (222) ~ (all_0_14_14 = e1)
% 21.36/5.60 | (490) all_0_15_15 = e1
% 21.36/5.60 |
% 21.36/5.60 | Equations (490) can reduce 536 to:
% 21.36/5.60 | (172) $false
% 21.36/5.60 |
% 21.36/5.60 |-The branch is then unsatisfiable
% 21.36/5.60 |-Branch two:
% 21.36/5.60 | (621) all_0_8_8 = e1
% 21.36/5.60 | (695) all_0_10_10 = e3
% 21.36/5.60 |
% 21.36/5.60 | Equations (621) can reduce 116 to:
% 21.36/5.60 | (3459) ~ (all_0_9_9 = e1)
% 21.36/5.60 |
% 21.38/5.60 | Simplifying 3459 yields:
% 21.38/5.60 | (423) ~ (all_0_9_9 = e1)
% 21.38/5.60 |
% 21.38/5.60 | Equations (621) can reduce 124 to:
% 21.38/5.60 | (412) ~ (all_0_11_11 = e1)
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 412 yields:
% 21.38/5.60 | (413) ~ (all_0_11_11 = e1)
% 21.38/5.60 |
% 21.38/5.60 | Equations (621) can reduce 158 to:
% 21.38/5.60 | (4303) ~ (all_0_12_12 = e1)
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 4303 yields:
% 21.38/5.60 | (307) ~ (all_0_12_12 = e1)
% 21.38/5.60 |
% 21.38/5.60 | Equations (621) can reduce 199 to:
% 21.38/5.60 | (157) ~ (e1 = e0)
% 21.38/5.60 |
% 21.38/5.60 | Equations (695) can reduce 166 to:
% 21.38/5.60 | (202) ~ (all_0_9_9 = e3)
% 21.38/5.60 |
% 21.38/5.60 | Equations (695) can reduce 23 to:
% 21.38/5.60 | (203) ~ (all_0_11_11 = e3)
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 203 yields:
% 21.38/5.60 | (204) ~ (all_0_11_11 = e3)
% 21.38/5.60 |
% 21.38/5.60 | Equations (695) can reduce 40 to:
% 21.38/5.60 | (2797) ~ (all_0_14_14 = e3)
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 2797 yields:
% 21.38/5.60 | (308) ~ (all_0_14_14 = e3)
% 21.38/5.60 |
% 21.38/5.60 | Equations (695) can reduce 51 to:
% 21.38/5.60 | (680) ~ (all_0_18_18 = e3)
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 680 yields:
% 21.38/5.60 | (211) ~ (all_0_18_18 = e3)
% 21.38/5.60 |
% 21.38/5.60 | From (621) and (108) follows:
% 21.38/5.60 | (5665) op(e1, e3) = all_0_7_7
% 21.38/5.60 |
% 21.38/5.60 | Instantiating formula (152) with e1, e3, all_0_7_7, all_0_16_16 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_16_16, yields:
% 21.38/5.60 | (5666) all_0_7_7 = all_0_16_16
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (48), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (195) ~ (all_0_18_18 = e2)
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (94), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (197) ~ (all_0_18_18 = e0)
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (33), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (212) all_0_18_18 = e3
% 21.38/5.60 |
% 21.38/5.60 | Equations (212) can reduce 211 to:
% 21.38/5.60 | (172) $false
% 21.38/5.60 |
% 21.38/5.60 |-The branch is then unsatisfiable
% 21.38/5.60 |-Branch two:
% 21.38/5.60 | (211) ~ (all_0_18_18 = e3)
% 21.38/5.60 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (145), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (395) all_0_10_10 = e0
% 21.38/5.60 |
% 21.38/5.60 | Combining equations (695,395) yields a new equation:
% 21.38/5.60 | (564) e3 = e0
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 564 yields:
% 21.38/5.60 | (323) e3 = e0
% 21.38/5.60 |
% 21.38/5.60 | Equations (323) can reduce 3 to:
% 21.38/5.60 | (172) $false
% 21.38/5.60 |
% 21.38/5.60 |-The branch is then unsatisfiable
% 21.38/5.60 |-Branch two:
% 21.38/5.60 | (426) ~ (all_0_10_10 = e0)
% 21.38/5.60 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (215), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (216) all_0_18_18 = e2
% 21.38/5.60 |
% 21.38/5.60 | Equations (216) can reduce 195 to:
% 21.38/5.60 | (172) $false
% 21.38/5.60 |
% 21.38/5.60 |-The branch is then unsatisfiable
% 21.38/5.60 |-Branch two:
% 21.38/5.60 | (195) ~ (all_0_18_18 = e2)
% 21.38/5.60 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (427), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (529) all_0_14_14 = e0
% 21.38/5.60 |
% 21.38/5.60 | Equations (529) can reduce 60 to:
% 21.38/5.60 | (606) ~ (all_0_12_12 = e0)
% 21.38/5.60 |
% 21.38/5.60 | Equations (529) can reduce 12 to:
% 21.38/5.60 | (373) ~ (all_0_13_13 = e0)
% 21.38/5.60 |
% 21.38/5.60 | Equations (529) can reduce 71 to:
% 21.38/5.60 | (657) ~ (all_0_15_15 = e0)
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 657 yields:
% 21.38/5.60 | (184) ~ (all_0_15_15 = e0)
% 21.38/5.60 |
% 21.38/5.60 | Equations (529) can reduce 81 to:
% 21.38/5.60 | (673) ~ (all_0_18_18 = e0)
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 673 yields:
% 21.38/5.60 | (197) ~ (all_0_18_18 = e0)
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (68), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (730) all_0_10_10 = e2
% 21.38/5.60 |
% 21.38/5.60 | Combining equations (695,730) yields a new equation:
% 21.38/5.60 | (511) e3 = e2
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 511 yields:
% 21.38/5.60 | (352) e3 = e2
% 21.38/5.60 |
% 21.38/5.60 | Equations (352) can reduce 111 to:
% 21.38/5.60 | (172) $false
% 21.38/5.60 |
% 21.38/5.60 |-The branch is then unsatisfiable
% 21.38/5.60 |-Branch two:
% 21.38/5.60 | (985) ~ (all_0_10_10 = e2)
% 21.38/5.60 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (986), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (522) all_0_14_14 = e2
% 21.38/5.60 |
% 21.38/5.60 | Combining equations (522,529) yields a new equation:
% 21.38/5.60 | (499) e2 = e0
% 21.38/5.60 |
% 21.38/5.60 | Simplifying 499 yields:
% 21.38/5.60 | (500) e2 = e0
% 21.38/5.60 |
% 21.38/5.60 | Equations (500) can reduce 29 to:
% 21.38/5.60 | (172) $false
% 21.38/5.60 |
% 21.38/5.60 |-The branch is then unsatisfiable
% 21.38/5.60 |-Branch two:
% 21.38/5.60 | (521) ~ (all_0_14_14 = e2)
% 21.38/5.60 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (999), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (216) all_0_18_18 = e2
% 21.38/5.60 |
% 21.38/5.60 | Equations (216) can reduce 195 to:
% 21.38/5.60 | (172) $false
% 21.38/5.60 |
% 21.38/5.60 |-The branch is then unsatisfiable
% 21.38/5.60 |-Branch two:
% 21.38/5.60 | (195) ~ (all_0_18_18 = e2)
% 21.38/5.60 | (520) all_0_22_22 = e2
% 21.38/5.60 |
% 21.38/5.60 | Equations (520) can reduce 150 to:
% 21.38/5.60 | (514) ~ (all_0_21_21 = e2)
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (148), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (389) all_0_12_12 = e1
% 21.38/5.60 |
% 21.38/5.60 | Equations (389) can reduce 307 to:
% 21.38/5.60 | (172) $false
% 21.38/5.60 |
% 21.38/5.60 |-The branch is then unsatisfiable
% 21.38/5.60 |-Branch two:
% 21.38/5.60 | (307) ~ (all_0_12_12 = e1)
% 21.38/5.60 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.38/5.60 |
% 21.38/5.60 +-Applying beta-rule and splitting (128), into two cases.
% 21.38/5.60 |-Branch one:
% 21.38/5.60 | (952) all_0_20_20 = e1
% 21.38/5.60 |
% 21.38/5.60 | Combining equations (613,952) yields a new equation:
% 21.38/5.60 | (543) e1 = e0
% 21.38/5.60 |
% 21.38/5.61 | Equations (543) can reduce 157 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (963) ~ (all_0_20_20 = e1)
% 21.38/5.61 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (1399), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (444) all_0_13_13 = e1
% 21.38/5.61 |
% 21.38/5.61 | Equations (444) can reduce 167 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (167) ~ (all_0_13_13 = e1)
% 21.38/5.61 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (219), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (220) all_0_18_18 = e1
% 21.38/5.61 |
% 21.38/5.61 | Equations (220) can reduce 80 to:
% 21.38/5.61 | (310) ~ (all_0_17_17 = e1)
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (964), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (554) all_0_21_21 = e1
% 21.38/5.61 |
% 21.38/5.61 | Equations (554) can reduce 514 to:
% 21.38/5.61 | (924) ~ (e2 = e1)
% 21.38/5.61 |
% 21.38/5.61 | Simplifying 924 yields:
% 21.38/5.61 | (75) ~ (e2 = e1)
% 21.38/5.61 |
% 21.38/5.61 | Equations (554) can reduce 187 to:
% 21.38/5.61 | (157) ~ (e1 = e0)
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (1715), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (262) all_0_14_14 = e1
% 21.38/5.61 |
% 21.38/5.61 | Combining equations (529,262) yields a new equation:
% 21.38/5.61 | (543) e1 = e0
% 21.38/5.61 |
% 21.38/5.61 | Equations (543) can reduce 157 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (222) ~ (all_0_14_14 = e1)
% 21.38/5.61 | (490) all_0_15_15 = e1
% 21.38/5.61 |
% 21.38/5.61 | Equations (490) can reduce 30 to:
% 21.38/5.61 | (307) ~ (all_0_12_12 = e1)
% 21.38/5.61 |
% 21.38/5.61 | Equations (490) can reduce 135 to:
% 21.38/5.61 | (167) ~ (all_0_13_13 = e1)
% 21.38/5.61 |
% 21.38/5.61 | Equations (490) can reduce 89 to:
% 21.38/5.61 | (311) ~ (all_0_19_19 = e1)
% 21.38/5.61 |
% 21.38/5.61 | Simplifying 311 yields:
% 21.38/5.61 | (312) ~ (all_0_19_19 = e1)
% 21.38/5.61 |
% 21.38/5.61 | Equations (490) can reduce 642 to:
% 21.38/5.61 | (313) ~ (e3 = e1)
% 21.38/5.61 |
% 21.38/5.61 | Simplifying 313 yields:
% 21.38/5.61 | (163) ~ (e3 = e1)
% 21.38/5.61 |
% 21.38/5.61 | Equations (490) can reduce 184 to:
% 21.38/5.61 | (157) ~ (e1 = e0)
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (99), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (223), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (224), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (225), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (226), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (227), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (228), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (229), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (230), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.38/5.61 |
% 21.38/5.61 | Applying alpha-rule on (231) yields:
% 21.38/5.61 | (232) ~ (all_0_8_8 = e3)
% 21.38/5.61 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.38/5.61 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.38/5.61 | (235) all_0_9_9 = e2
% 21.38/5.61 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (234), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (170) ~ (all_0_23_23 = e3)
% 21.38/5.61 |
% 21.38/5.61 | Equations (171) can reduce 170 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (171) all_0_23_23 = e3
% 21.38/5.61 | (186) ~ (all_0_20_20 = e0)
% 21.38/5.61 |
% 21.38/5.61 | Equations (613) can reduce 186 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.38/5.61 |
% 21.38/5.61 | Applying alpha-rule on (238) yields:
% 21.38/5.61 | (232) ~ (all_0_8_8 = e3)
% 21.38/5.61 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.38/5.61 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.38/5.61 | (242) all_0_10_10 = e1
% 21.38/5.61 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.38/5.61 |
% 21.38/5.61 | Combining equations (242,695) yields a new equation:
% 21.38/5.61 | (556) e3 = e1
% 21.38/5.61 |
% 21.38/5.61 | Equations (556) can reduce 163 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.38/5.61 |
% 21.38/5.61 | Applying alpha-rule on (245) yields:
% 21.38/5.61 | (232) ~ (all_0_8_8 = e3)
% 21.38/5.61 | (247) all_0_11_11 = e0
% 21.38/5.61 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.38/5.61 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.38/5.61 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (234), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (170) ~ (all_0_23_23 = e3)
% 21.38/5.61 |
% 21.38/5.61 | Equations (171) can reduce 170 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (171) all_0_23_23 = e3
% 21.38/5.61 | (186) ~ (all_0_20_20 = e0)
% 21.38/5.61 |
% 21.38/5.61 | Equations (613) can reduce 186 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.38/5.61 |
% 21.38/5.61 | Applying alpha-rule on (252) yields:
% 21.38/5.61 | (253) ~ (all_0_13_13 = e2)
% 21.38/5.61 | (254) all_0_12_12 = e3
% 21.38/5.61 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.38/5.61 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.38/5.61 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.38/5.61 |
% 21.38/5.61 | Equations (254) can reduce 93 to:
% 21.38/5.61 | (1109) ~ (all_0_13_13 = e3)
% 21.38/5.61 |
% 21.38/5.61 | Simplifying 1109 yields:
% 21.38/5.61 | (337) ~ (all_0_13_13 = e3)
% 21.38/5.61 |
% 21.38/5.61 | Equations (254) can reduce 307 to:
% 21.38/5.61 | (163) ~ (e3 = e1)
% 21.38/5.61 |
% 21.38/5.61 | Equations (254) can reduce 606 to:
% 21.38/5.61 | (3) ~ (e3 = e0)
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (151), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (338) all_0_9_9 = e3
% 21.38/5.61 |
% 21.38/5.61 | Equations (338) can reduce 202 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (202) ~ (all_0_9_9 = e3)
% 21.38/5.61 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (341), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (347) all_0_13_13 = e3
% 21.38/5.61 |
% 21.38/5.61 | Equations (347) can reduce 337 to:
% 21.38/5.61 | (172) $false
% 21.38/5.61 |
% 21.38/5.61 |-The branch is then unsatisfiable
% 21.38/5.61 |-Branch two:
% 21.38/5.61 | (337) ~ (all_0_13_13 = e3)
% 21.38/5.61 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (350), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (360) all_0_17_17 = e3
% 21.38/5.61 |
% 21.38/5.61 | Equations (360) can reduce 5 to:
% 21.38/5.61 | (337) ~ (all_0_13_13 = e3)
% 21.38/5.61 |
% 21.38/5.61 | Equations (360) can reduce 10 to:
% 21.38/5.61 | (316) ~ (all_0_19_19 = e3)
% 21.38/5.61 |
% 21.38/5.61 | Simplifying 316 yields:
% 21.38/5.61 | (317) ~ (all_0_19_19 = e3)
% 21.38/5.61 |
% 21.38/5.61 +-Applying beta-rule and splitting (34), into two cases.
% 21.38/5.61 |-Branch one:
% 21.38/5.61 | (424) all_0_9_9 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (424) can reduce 22 to:
% 21.38/5.62 | (1374) ~ (all_0_13_13 = e0)
% 21.38/5.62 |
% 21.38/5.62 | Simplifying 1374 yields:
% 21.38/5.62 | (373) ~ (all_0_13_13 = e0)
% 21.38/5.62 |
% 21.38/5.62 +-Applying beta-rule and splitting (102), into two cases.
% 21.38/5.62 |-Branch one:
% 21.38/5.62 | (347) all_0_13_13 = e3
% 21.38/5.62 |
% 21.38/5.62 | Equations (347) can reduce 337 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (337) ~ (all_0_13_13 = e3)
% 21.38/5.62 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 21.38/5.62 |
% 21.38/5.62 +-Applying beta-rule and splitting (377), into two cases.
% 21.38/5.62 |-Branch one:
% 21.38/5.62 | (382) all_0_13_13 = e2
% 21.38/5.62 |
% 21.38/5.62 | Equations (382) can reduce 253 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (253) ~ (all_0_13_13 = e2)
% 21.38/5.62 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 21.38/5.62 |
% 21.38/5.62 +-Applying beta-rule and splitting (443), into two cases.
% 21.38/5.62 |-Branch one:
% 21.38/5.62 | (444) all_0_13_13 = e1
% 21.38/5.62 |
% 21.38/5.62 | Equations (444) can reduce 167 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (167) ~ (all_0_13_13 = e1)
% 21.38/5.62 | (447) all_0_13_13 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (447) can reduce 373 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (372) ~ (all_0_9_9 = e0)
% 21.38/5.62 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.38/5.62 |
% 21.38/5.62 +-Applying beta-rule and splitting (117), into two cases.
% 21.38/5.62 |-Branch one:
% 21.38/5.62 | (608) all_0_16_16 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (608) can reduce 612 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (612) ~ (all_0_16_16 = e0)
% 21.38/5.62 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 21.38/5.62 |
% 21.38/5.62 +-Applying beta-rule and splitting (653), into two cases.
% 21.38/5.62 |-Branch one:
% 21.38/5.62 | (371) all_0_17_17 = e0
% 21.38/5.62 |
% 21.38/5.62 | Combining equations (371,360) yields a new equation:
% 21.38/5.62 | (323) e3 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (323) can reduce 3 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (1184) ~ (all_0_17_17 = e0)
% 21.38/5.62 | (1198) all_0_18_18 = e0 | all_0_19_19 = e0
% 21.38/5.62 |
% 21.38/5.62 +-Applying beta-rule and splitting (1198), into two cases.
% 21.38/5.62 |-Branch one:
% 21.38/5.62 | (302) all_0_18_18 = e0
% 21.38/5.62 |
% 21.38/5.62 | Combining equations (220,302) yields a new equation:
% 21.38/5.62 | (542) e1 = e0
% 21.38/5.62 |
% 21.38/5.62 | Simplifying 542 yields:
% 21.38/5.62 | (543) e1 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (543) can reduce 157 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (197) ~ (all_0_18_18 = e0)
% 21.38/5.62 | (291) all_0_19_19 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (291) can reduce 317 to:
% 21.38/5.62 | (189) ~ (e3 = e0)
% 21.38/5.62 |
% 21.38/5.62 | Simplifying 189 yields:
% 21.38/5.62 | (3) ~ (e3 = e0)
% 21.38/5.62 |
% 21.38/5.62 | Equations (291) can reduce 312 to:
% 21.38/5.62 | (193) ~ (e1 = e0)
% 21.38/5.62 |
% 21.38/5.62 | Simplifying 193 yields:
% 21.38/5.62 | (157) ~ (e1 = e0)
% 21.38/5.62 |
% 21.38/5.62 +-Applying beta-rule and splitting (664), into two cases.
% 21.38/5.62 |-Branch one:
% 21.38/5.62 | (447) all_0_13_13 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (447) can reduce 373 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (373) ~ (all_0_13_13 = e0)
% 21.38/5.62 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 21.38/5.62 |
% 21.38/5.62 +-Applying beta-rule and splitting (668), into two cases.
% 21.38/5.62 |-Branch one:
% 21.38/5.62 | (371) all_0_17_17 = e0
% 21.38/5.62 |
% 21.38/5.62 | Combining equations (360,371) yields a new equation:
% 21.38/5.62 | (564) e3 = e0
% 21.38/5.62 |
% 21.38/5.62 | Simplifying 564 yields:
% 21.38/5.62 | (323) e3 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (323) can reduce 3 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (1184) ~ (all_0_17_17 = e0)
% 21.38/5.62 | (1185) all_0_21_21 = e0
% 21.38/5.62 |
% 21.38/5.62 | Combining equations (1185,554) yields a new equation:
% 21.38/5.62 | (543) e1 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (543) can reduce 157 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (315) ~ (all_0_17_17 = e3)
% 21.38/5.62 | (356) all_0_21_21 = e3
% 21.38/5.62 |
% 21.38/5.62 | Combining equations (356,554) yields a new equation:
% 21.38/5.62 | (555) e3 = e1
% 21.38/5.62 |
% 21.38/5.62 | Simplifying 555 yields:
% 21.38/5.62 | (556) e3 = e1
% 21.38/5.62 |
% 21.38/5.62 | Equations (556) can reduce 163 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.38/5.62 |
% 21.38/5.62 | Applying alpha-rule on (259) yields:
% 21.38/5.62 | (253) ~ (all_0_13_13 = e2)
% 21.38/5.62 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.38/5.62 | (262) all_0_14_14 = e1
% 21.38/5.62 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.38/5.62 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.38/5.62 |
% 21.38/5.62 | Combining equations (262,529) yields a new equation:
% 21.38/5.62 | (542) e1 = e0
% 21.38/5.62 |
% 21.38/5.62 | Simplifying 542 yields:
% 21.38/5.62 | (543) e1 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (543) can reduce 157 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.38/5.62 |
% 21.38/5.62 | Applying alpha-rule on (266) yields:
% 21.38/5.62 | (253) ~ (all_0_13_13 = e2)
% 21.38/5.62 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.38/5.62 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.38/5.62 | (270) all_0_15_15 = e0
% 21.38/5.62 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.38/5.62 |
% 21.38/5.62 | Combining equations (490,270) yields a new equation:
% 21.38/5.62 | (542) e1 = e0
% 21.38/5.62 |
% 21.38/5.62 | Simplifying 542 yields:
% 21.38/5.62 | (543) e1 = e0
% 21.38/5.62 |
% 21.38/5.62 | Equations (543) can reduce 157 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.38/5.62 |
% 21.38/5.62 | Applying alpha-rule on (273) yields:
% 21.38/5.62 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.38/5.62 | (275) ~ (all_0_18_18 = e1)
% 21.38/5.62 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.38/5.62 | (277) all_0_16_16 = e3
% 21.38/5.62 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.38/5.62 |
% 21.38/5.62 | Equations (220) can reduce 275 to:
% 21.38/5.62 | (172) $false
% 21.38/5.62 |
% 21.38/5.62 |-The branch is then unsatisfiable
% 21.38/5.62 |-Branch two:
% 21.38/5.62 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.38/5.62 |
% 21.38/5.62 | Applying alpha-rule on (280) yields:
% 21.38/5.62 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.43/5.62 | (282) all_0_17_17 = e2
% 21.43/5.62 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.62 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.43/5.62 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.43/5.62 |
% 21.43/5.62 | Equations (220) can reduce 275 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.43/5.62 |
% 21.43/5.62 | Applying alpha-rule on (287) yields:
% 21.43/5.62 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.43/5.62 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.62 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.43/5.62 | (291) all_0_19_19 = e0
% 21.43/5.62 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.43/5.62 |
% 21.43/5.62 | Equations (220) can reduce 275 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.43/5.62 |
% 21.43/5.62 | Applying alpha-rule on (294) yields:
% 21.43/5.62 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.43/5.62 | (296) ~ (all_0_23_23 = e0)
% 21.43/5.62 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.43/5.62 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.43/5.62 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.43/5.62 |
% 21.43/5.62 | Equations (171) can reduce 296 to:
% 21.43/5.62 | (3) ~ (e3 = e0)
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (295), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (327) all_0_20_20 = e3
% 21.43/5.62 |
% 21.43/5.62 | Combining equations (613,327) yields a new equation:
% 21.43/5.62 | (323) e3 = e0
% 21.43/5.62 |
% 21.43/5.62 | Equations (323) can reduce 3 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (210) ~ (all_0_20_20 = e3)
% 21.43/5.62 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (4710), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (510) all_0_21_21 = e2
% 21.43/5.62 |
% 21.43/5.62 | Combining equations (510,554) yields a new equation:
% 21.43/5.62 | (966) e2 = e1
% 21.43/5.62 |
% 21.43/5.62 | Simplifying 966 yields:
% 21.43/5.62 | (742) e2 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (742) can reduce 75 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (514) ~ (all_0_21_21 = e2)
% 21.43/5.62 | (864) all_0_22_22 = e1
% 21.43/5.62 |
% 21.43/5.62 | Combining equations (864,520) yields a new equation:
% 21.43/5.62 | (742) e2 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (742) can reduce 75 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (969) ~ (all_0_21_21 = e1)
% 21.43/5.62 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (21), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (411) all_0_9_9 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (411) can reduce 423 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.62 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (546), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (444) all_0_13_13 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (444) can reduce 167 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (167) ~ (all_0_13_13 = e1)
% 21.43/5.62 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (550), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (368) all_0_17_17 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (368) can reduce 310 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (310) ~ (all_0_17_17 = e1)
% 21.43/5.62 | (554) all_0_21_21 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (554) can reduce 969 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.62 | (302) all_0_18_18 = e0
% 21.43/5.62 |
% 21.43/5.62 | Equations (302) can reduce 197 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (470) ~ (all_0_14_14 = e0)
% 21.43/5.62 | (572) all_0_18_18 = e0 | all_0_22_22 = e0
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (219), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (220) all_0_18_18 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (220) can reduce 197 to:
% 21.43/5.62 | (157) ~ (e1 = e0)
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (572), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (302) all_0_18_18 = e0
% 21.43/5.62 |
% 21.43/5.62 | Combining equations (302,220) yields a new equation:
% 21.43/5.62 | (543) e1 = e0
% 21.43/5.62 |
% 21.43/5.62 | Equations (543) can reduce 157 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (197) ~ (all_0_18_18 = e0)
% 21.43/5.62 | (583) all_0_22_22 = e0
% 21.43/5.62 |
% 21.43/5.62 | Equations (583) can reduce 188 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.62 | (302) all_0_18_18 = e0
% 21.43/5.62 |
% 21.43/5.62 | Equations (302) can reduce 197 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (302) all_0_18_18 = e0
% 21.43/5.62 | (458) all_0_19_19 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (458) can reduce 132 to:
% 21.43/5.62 | (413) ~ (all_0_11_11 = e1)
% 21.43/5.62 |
% 21.43/5.62 | Equations (302) can reduce 81 to:
% 21.43/5.62 | (470) ~ (all_0_14_14 = e0)
% 21.43/5.62 |
% 21.43/5.62 | Equations (458) can reduce 89 to:
% 21.43/5.62 | (536) ~ (all_0_15_15 = e1)
% 21.43/5.62 |
% 21.43/5.62 | Equations (302) can reduce 28 to:
% 21.43/5.62 | (612) ~ (all_0_16_16 = e0)
% 21.43/5.62 |
% 21.43/5.62 | Equations (458) can reduce 138 to:
% 21.43/5.62 | (770) ~ (all_0_16_16 = e1)
% 21.43/5.62 |
% 21.43/5.62 | Equations (302) can reduce 80 to:
% 21.43/5.62 | (1184) ~ (all_0_17_17 = e0)
% 21.43/5.62 |
% 21.43/5.62 | Equations (458) can reduce 10 to:
% 21.43/5.62 | (310) ~ (all_0_17_17 = e1)
% 21.43/5.62 |
% 21.43/5.62 | Equations (302) can reduce 211 to:
% 21.43/5.62 | (189) ~ (e3 = e0)
% 21.43/5.62 |
% 21.43/5.62 | Simplifying 189 yields:
% 21.43/5.62 | (3) ~ (e3 = e0)
% 21.43/5.62 |
% 21.43/5.62 | Equations (302) can reduce 195 to:
% 21.43/5.62 | (191) ~ (e2 = e0)
% 21.43/5.62 |
% 21.43/5.62 | Simplifying 191 yields:
% 21.43/5.62 | (29) ~ (e2 = e0)
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (21), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (411) all_0_9_9 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (411) can reduce 423 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.62 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (546), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (444) all_0_13_13 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (444) can reduce 167 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (167) ~ (all_0_13_13 = e1)
% 21.43/5.62 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (148), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (389) all_0_12_12 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (389) can reduce 307 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (307) ~ (all_0_12_12 = e1)
% 21.43/5.62 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (1399), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (444) all_0_13_13 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (444) can reduce 167 to:
% 21.43/5.62 | (172) $false
% 21.43/5.62 |
% 21.43/5.62 |-The branch is then unsatisfiable
% 21.43/5.62 |-Branch two:
% 21.43/5.62 | (167) ~ (all_0_13_13 = e1)
% 21.43/5.62 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (1715), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (262) all_0_14_14 = e1
% 21.43/5.62 |
% 21.43/5.62 | Equations (262) can reduce 308 to:
% 21.43/5.62 | (313) ~ (e3 = e1)
% 21.43/5.62 |
% 21.43/5.62 | Simplifying 313 yields:
% 21.43/5.62 | (163) ~ (e3 = e1)
% 21.43/5.62 |
% 21.43/5.62 | Equations (262) can reduce 470 to:
% 21.43/5.62 | (157) ~ (e1 = e0)
% 21.43/5.62 |
% 21.43/5.62 +-Applying beta-rule and splitting (99), into two cases.
% 21.43/5.62 |-Branch one:
% 21.43/5.62 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (223), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (224), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (225), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (226), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (227), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (228), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (229), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (230), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.43/5.63 |
% 21.43/5.63 | Applying alpha-rule on (231) yields:
% 21.43/5.63 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.63 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.43/5.63 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.43/5.63 | (235) all_0_9_9 = e2
% 21.43/5.63 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (234), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (170) ~ (all_0_23_23 = e3)
% 21.43/5.63 |
% 21.43/5.63 | Equations (171) can reduce 170 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (171) all_0_23_23 = e3
% 21.43/5.63 | (186) ~ (all_0_20_20 = e0)
% 21.43/5.63 |
% 21.43/5.63 | Equations (613) can reduce 186 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.43/5.63 |
% 21.43/5.63 | Applying alpha-rule on (238) yields:
% 21.43/5.63 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.63 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.43/5.63 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.43/5.63 | (242) all_0_10_10 = e1
% 21.43/5.63 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.43/5.63 |
% 21.43/5.63 | Combining equations (242,695) yields a new equation:
% 21.43/5.63 | (556) e3 = e1
% 21.43/5.63 |
% 21.43/5.63 | Equations (556) can reduce 163 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.43/5.63 |
% 21.43/5.63 | Applying alpha-rule on (245) yields:
% 21.43/5.63 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.63 | (247) all_0_11_11 = e0
% 21.43/5.63 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.43/5.63 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.43/5.63 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (234), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (170) ~ (all_0_23_23 = e3)
% 21.43/5.63 |
% 21.43/5.63 | Equations (171) can reduce 170 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (171) all_0_23_23 = e3
% 21.43/5.63 | (186) ~ (all_0_20_20 = e0)
% 21.43/5.63 |
% 21.43/5.63 | Equations (613) can reduce 186 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.43/5.63 |
% 21.43/5.63 | Applying alpha-rule on (252) yields:
% 21.43/5.63 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.63 | (254) all_0_12_12 = e3
% 21.43/5.63 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.43/5.63 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.43/5.63 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.43/5.63 |
% 21.43/5.63 | Equations (254) can reduce 93 to:
% 21.43/5.63 | (1109) ~ (all_0_13_13 = e3)
% 21.43/5.63 |
% 21.43/5.63 | Simplifying 1109 yields:
% 21.43/5.63 | (337) ~ (all_0_13_13 = e3)
% 21.43/5.63 |
% 21.43/5.63 | Equations (254) can reduce 45 to:
% 21.43/5.63 | (207) ~ (all_0_16_16 = e3)
% 21.43/5.63 |
% 21.43/5.63 | Simplifying 207 yields:
% 21.43/5.63 | (208) ~ (all_0_16_16 = e3)
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (97), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (277) all_0_16_16 = e3
% 21.43/5.63 |
% 21.43/5.63 | Equations (277) can reduce 208 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (208) ~ (all_0_16_16 = e3)
% 21.43/5.63 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (1810), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (685) all_0_16_16 = e2
% 21.43/5.63 |
% 21.43/5.63 | Combining equations (685,5666) yields a new equation:
% 21.43/5.63 | (2491) all_0_7_7 = e2
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (83), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (2225) ~ (all_0_7_7 = e2)
% 21.43/5.63 |
% 21.43/5.63 | Equations (2491) can reduce 2225 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (2491) all_0_7_7 = e2
% 21.43/5.63 | (6032) ~ (all_0_6_6 = e0) | ~ (all_0_8_8 = e1)
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (133), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (360) all_0_17_17 = e3
% 21.43/5.63 |
% 21.43/5.63 | Equations (360) can reduce 310 to:
% 21.43/5.63 | (163) ~ (e3 = e1)
% 21.43/5.63 |
% 21.43/5.63 | Equations (360) can reduce 1184 to:
% 21.43/5.63 | (3) ~ (e3 = e0)
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (6032), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (196) ~ (all_0_8_8 = e1)
% 21.43/5.63 |
% 21.43/5.63 | Equations (621) can reduce 196 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (621) all_0_8_8 = e1
% 21.43/5.63 | (6039) ~ (all_0_6_6 = e0)
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (128), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (952) all_0_20_20 = e1
% 21.43/5.63 |
% 21.43/5.63 | Combining equations (952,613) yields a new equation:
% 21.43/5.63 | (542) e1 = e0
% 21.43/5.63 |
% 21.43/5.63 | Simplifying 542 yields:
% 21.43/5.63 | (543) e1 = e0
% 21.43/5.63 |
% 21.43/5.63 | Equations (543) can reduce 157 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (963) ~ (all_0_20_20 = e1)
% 21.43/5.63 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.43/5.63 |
% 21.43/5.63 | Equations (613) can reduce 963 to:
% 21.43/5.63 | (193) ~ (e1 = e0)
% 21.43/5.63 |
% 21.43/5.63 | Simplifying 193 yields:
% 21.43/5.63 | (157) ~ (e1 = e0)
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (37), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (200) all_0_8_8 = e3
% 21.43/5.63 |
% 21.43/5.63 | Combining equations (200,621) yields a new equation:
% 21.43/5.63 | (555) e3 = e1
% 21.43/5.63 |
% 21.43/5.63 | Simplifying 555 yields:
% 21.43/5.63 | (556) e3 = e1
% 21.43/5.63 |
% 21.43/5.63 | Equations (556) can reduce 163 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.63 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 21.43/5.63 |
% 21.43/5.63 +-Applying beta-rule and splitting (4875), into two cases.
% 21.43/5.63 |-Branch one:
% 21.43/5.63 | (382) all_0_13_13 = e2
% 21.43/5.63 |
% 21.43/5.63 | Equations (382) can reduce 253 to:
% 21.43/5.63 | (172) $false
% 21.43/5.63 |
% 21.43/5.63 |-The branch is then unsatisfiable
% 21.43/5.63 |-Branch two:
% 21.43/5.63 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.63 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 21.43/5.63 |
% 21.43/5.64 +-Applying beta-rule and splitting (4885), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (220) all_0_18_18 = e1
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (302,220) yields a new equation:
% 21.43/5.64 | (543) e1 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (543) can reduce 157 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.64 | (182) all_0_23_23 = e0
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (171,182) yields a new equation:
% 21.43/5.64 | (564) e3 = e0
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 564 yields:
% 21.43/5.64 | (323) e3 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (323) can reduce 3 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.64 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (151), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (338) all_0_9_9 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (338) can reduce 202 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.64 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (341), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (347) all_0_13_13 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (347) can reduce 337 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (337) ~ (all_0_13_13 = e3)
% 21.43/5.64 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (350), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (360) all_0_17_17 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (360) can reduce 315 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.64 | (356) all_0_21_21 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (356) can reduce 449 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (688) ~ (all_0_16_16 = e2)
% 21.43/5.64 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (2108), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (305) all_0_16_16 = e1
% 21.43/5.64 |
% 21.43/5.64 | Equations (305) can reduce 770 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (770) ~ (all_0_16_16 = e1)
% 21.43/5.64 | (608) all_0_16_16 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (608) can reduce 612 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.43/5.64 |
% 21.43/5.64 | Applying alpha-rule on (259) yields:
% 21.43/5.64 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.64 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.43/5.64 | (262) all_0_14_14 = e1
% 21.43/5.64 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.43/5.64 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (128), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (952) all_0_20_20 = e1
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (613,952) yields a new equation:
% 21.43/5.64 | (543) e1 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (543) can reduce 157 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (963) ~ (all_0_20_20 = e1)
% 21.43/5.64 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.43/5.64 |
% 21.43/5.64 | Equations (613) can reduce 963 to:
% 21.43/5.64 | (193) ~ (e1 = e0)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 193 yields:
% 21.43/5.64 | (157) ~ (e1 = e0)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (37), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (200) all_0_8_8 = e3
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (621,200) yields a new equation:
% 21.43/5.64 | (556) e3 = e1
% 21.43/5.64 |
% 21.43/5.64 | Equations (556) can reduce 163 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.64 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (4875), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (382) all_0_13_13 = e2
% 21.43/5.64 |
% 21.43/5.64 | Equations (382) can reduce 253 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.64 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (4885), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (220) all_0_18_18 = e1
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (302,220) yields a new equation:
% 21.43/5.64 | (543) e1 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (543) can reduce 157 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.64 | (182) all_0_23_23 = e0
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (182,171) yields a new equation:
% 21.43/5.64 | (323) e3 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (323) can reduce 3 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.43/5.64 |
% 21.43/5.64 | Applying alpha-rule on (266) yields:
% 21.43/5.64 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.64 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.43/5.64 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.43/5.64 | (270) all_0_15_15 = e0
% 21.43/5.64 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.43/5.64 |
% 21.43/5.64 | Equations (270) can reduce 129 to:
% 21.43/5.64 | (183) ~ (all_0_11_11 = e0)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (9), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (414) all_0_11_11 = e2
% 21.43/5.64 |
% 21.43/5.64 | Equations (414) can reduce 54 to:
% 21.43/5.64 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.64 |
% 21.43/5.64 | Equations (414) can reduce 204 to:
% 21.43/5.64 | (345) ~ (e3 = e2)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 345 yields:
% 21.43/5.64 | (111) ~ (e3 = e2)
% 21.43/5.64 |
% 21.43/5.64 | Equations (414) can reduce 413 to:
% 21.43/5.64 | (75) ~ (e2 = e1)
% 21.43/5.64 |
% 21.43/5.64 | Equations (414) can reduce 183 to:
% 21.43/5.64 | (29) ~ (e2 = e0)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (25), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (385) all_0_12_12 = e2
% 21.43/5.64 |
% 21.43/5.64 | Equations (385) can reduce 45 to:
% 21.43/5.64 | (5415) ~ (all_0_16_16 = e2)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 5415 yields:
% 21.43/5.64 | (688) ~ (all_0_16_16 = e2)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (165), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (254) all_0_12_12 = e3
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (385,254) yields a new equation:
% 21.43/5.64 | (352) e3 = e2
% 21.43/5.64 |
% 21.43/5.64 | Equations (352) can reduce 111 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (206) ~ (all_0_12_12 = e3)
% 21.43/5.64 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (97), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (277) all_0_16_16 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (277) can reduce 144 to:
% 21.43/5.64 | (2518) ~ (all_0_17_17 = e3)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 2518 yields:
% 21.43/5.64 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (714), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (347) all_0_13_13 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (347) can reduce 22 to:
% 21.43/5.64 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.64 |
% 21.43/5.64 | Equations (347) can reduce 5 to:
% 21.43/5.64 | (2518) ~ (all_0_17_17 = e3)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 2518 yields:
% 21.43/5.64 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.64 |
% 21.43/5.64 | Equations (347) can reduce 104 to:
% 21.43/5.64 | (1837) ~ (all_0_21_21 = e3)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 1837 yields:
% 21.43/5.64 | (449) ~ (all_0_21_21 = e3)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (69), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (338) all_0_9_9 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (338) can reduce 202 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.64 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (550), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (368) all_0_17_17 = e1
% 21.43/5.64 |
% 21.43/5.64 | Equations (368) can reduce 310 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (310) ~ (all_0_17_17 = e1)
% 21.43/5.64 | (554) all_0_21_21 = e1
% 21.43/5.64 |
% 21.43/5.64 | Equations (554) can reduce 74 to:
% 21.43/5.64 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.64 |
% 21.43/5.64 | Equations (554) can reduce 76 to:
% 21.43/5.64 | (310) ~ (all_0_17_17 = e1)
% 21.43/5.64 |
% 21.43/5.64 | Equations (554) can reduce 449 to:
% 21.43/5.64 | (313) ~ (e3 = e1)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 313 yields:
% 21.43/5.64 | (163) ~ (e3 = e1)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (133), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (360) all_0_17_17 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (360) can reduce 315 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.64 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (406), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (235) all_0_9_9 = e2
% 21.43/5.64 |
% 21.43/5.64 | Equations (235) can reduce 383 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.64 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (363), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (282) all_0_17_17 = e2
% 21.43/5.64 |
% 21.43/5.64 | Equations (282) can reduce 315 to:
% 21.43/5.64 | (345) ~ (e3 = e2)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 345 yields:
% 21.43/5.64 | (111) ~ (e3 = e2)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (410), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (411) all_0_9_9 = e1
% 21.43/5.64 |
% 21.43/5.64 | Equations (411) can reduce 423 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.64 | (424) all_0_9_9 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (424) can reduce 202 to:
% 21.43/5.64 | (189) ~ (e3 = e0)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 189 yields:
% 21.43/5.64 | (3) ~ (e3 = e0)
% 21.43/5.64 |
% 21.43/5.64 | Equations (424) can reduce 423 to:
% 21.43/5.64 | (193) ~ (e1 = e0)
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 193 yields:
% 21.43/5.64 | (157) ~ (e1 = e0)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (37), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (200) all_0_8_8 = e3
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (621,200) yields a new equation:
% 21.43/5.64 | (556) e3 = e1
% 21.43/5.64 |
% 21.43/5.64 | Equations (556) can reduce 163 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.64 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (68), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (730) all_0_10_10 = e2
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (695,730) yields a new equation:
% 21.43/5.64 | (511) e3 = e2
% 21.43/5.64 |
% 21.43/5.64 | Simplifying 511 yields:
% 21.43/5.64 | (352) e3 = e2
% 21.43/5.64 |
% 21.43/5.64 | Equations (352) can reduce 111 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (985) ~ (all_0_10_10 = e2)
% 21.43/5.64 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 21.43/5.64 |
% 21.43/5.64 | Equations (695) can reduce 985 to:
% 21.43/5.64 | (111) ~ (e3 = e2)
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (4875), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (382) all_0_13_13 = e2
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (382,347) yields a new equation:
% 21.43/5.64 | (352) e3 = e2
% 21.43/5.64 |
% 21.43/5.64 | Equations (352) can reduce 111 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.64 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (4885), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (220) all_0_18_18 = e1
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (302,220) yields a new equation:
% 21.43/5.64 | (543) e1 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (543) can reduce 157 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.64 | (182) all_0_23_23 = e0
% 21.43/5.64 |
% 21.43/5.64 | Combining equations (182,171) yields a new equation:
% 21.43/5.64 | (323) e3 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (323) can reduce 3 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.64 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (367), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (368) all_0_17_17 = e1
% 21.43/5.64 |
% 21.43/5.64 | Equations (368) can reduce 310 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (310) ~ (all_0_17_17 = e1)
% 21.43/5.64 | (371) all_0_17_17 = e0
% 21.43/5.64 |
% 21.43/5.64 | Equations (371) can reduce 1184 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (337) ~ (all_0_13_13 = e3)
% 21.43/5.64 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (133), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (360) all_0_17_17 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (360) can reduce 315 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.64 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.43/5.64 |
% 21.43/5.64 +-Applying beta-rule and splitting (69), into two cases.
% 21.43/5.64 |-Branch one:
% 21.43/5.64 | (338) all_0_9_9 = e3
% 21.43/5.64 |
% 21.43/5.64 | Equations (338) can reduce 202 to:
% 21.43/5.64 | (172) $false
% 21.43/5.64 |
% 21.43/5.64 |-The branch is then unsatisfiable
% 21.43/5.64 |-Branch two:
% 21.43/5.64 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.65 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (406), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (235) all_0_9_9 = e2
% 21.43/5.65 |
% 21.43/5.65 | Equations (235) can reduce 383 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.65 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (410), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (411) all_0_9_9 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (411) can reduce 423 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.65 | (424) all_0_9_9 = e0
% 21.43/5.65 |
% 21.43/5.65 | Equations (424) can reduce 136 to:
% 21.43/5.65 | (1781) ~ (all_0_17_17 = e0)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 1781 yields:
% 21.43/5.65 | (1184) ~ (all_0_17_17 = e0)
% 21.43/5.65 |
% 21.43/5.65 | Equations (424) can reduce 74 to:
% 21.43/5.65 | (1547) ~ (all_0_21_21 = e0)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 1547 yields:
% 21.43/5.65 | (187) ~ (all_0_21_21 = e0)
% 21.43/5.65 |
% 21.43/5.65 | Equations (424) can reduce 202 to:
% 21.43/5.65 | (189) ~ (e3 = e0)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 189 yields:
% 21.43/5.65 | (3) ~ (e3 = e0)
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (363), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (282) all_0_17_17 = e2
% 21.43/5.65 |
% 21.43/5.65 | Equations (282) can reduce 76 to:
% 21.43/5.65 | (2013) ~ (all_0_21_21 = e2)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 2013 yields:
% 21.43/5.65 | (514) ~ (all_0_21_21 = e2)
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (4), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (356) all_0_21_21 = e3
% 21.43/5.65 |
% 21.43/5.65 | Equations (356) can reduce 449 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (449) ~ (all_0_21_21 = e3)
% 21.43/5.65 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (2018), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (510) all_0_21_21 = e2
% 21.43/5.65 |
% 21.43/5.65 | Equations (510) can reduce 514 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (514) ~ (all_0_21_21 = e2)
% 21.43/5.65 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (2022), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (554) all_0_21_21 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (554) can reduce 449 to:
% 21.43/5.65 | (313) ~ (e3 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 313 yields:
% 21.43/5.65 | (163) ~ (e3 = e1)
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (151), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (338) all_0_9_9 = e3
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (338,424) yields a new equation:
% 21.43/5.65 | (564) e3 = e0
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 564 yields:
% 21.43/5.65 | (323) e3 = e0
% 21.43/5.65 |
% 21.43/5.65 | Equations (323) can reduce 3 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.65 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 21.43/5.65 |
% 21.43/5.65 | Equations (424) can reduce 202 to:
% 21.43/5.65 | (189) ~ (e3 = e0)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 189 yields:
% 21.43/5.65 | (3) ~ (e3 = e0)
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (1007), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (516) all_0_14_14 = e3
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (516,262) yields a new equation:
% 21.43/5.65 | (555) e3 = e1
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 555 yields:
% 21.43/5.65 | (556) e3 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (556) can reduce 163 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (308) ~ (all_0_14_14 = e3)
% 21.43/5.65 | (726) all_0_15_15 = e3
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (270,726) yields a new equation:
% 21.43/5.65 | (323) e3 = e0
% 21.43/5.65 |
% 21.43/5.65 | Equations (323) can reduce 3 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (969) ~ (all_0_21_21 = e1)
% 21.43/5.65 | (1185) all_0_21_21 = e0
% 21.43/5.65 |
% 21.43/5.65 | Equations (1185) can reduce 187 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.65 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (367), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (368) all_0_17_17 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (368) can reduce 310 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (310) ~ (all_0_17_17 = e1)
% 21.43/5.65 | (371) all_0_17_17 = e0
% 21.43/5.65 |
% 21.43/5.65 | Equations (371) can reduce 1184 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (208) ~ (all_0_16_16 = e3)
% 21.43/5.65 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (1810), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (685) all_0_16_16 = e2
% 21.43/5.65 |
% 21.43/5.65 | Equations (685) can reduce 688 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (688) ~ (all_0_16_16 = e2)
% 21.43/5.65 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (2108), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (305) all_0_16_16 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (305) can reduce 770 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (770) ~ (all_0_16_16 = e1)
% 21.43/5.65 | (608) all_0_16_16 = e0
% 21.43/5.65 |
% 21.43/5.65 | Equations (608) can reduce 612 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (336) ~ (all_0_12_12 = e2)
% 21.43/5.65 | (503) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (503), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (382) all_0_13_13 = e2
% 21.43/5.65 |
% 21.43/5.65 | Equations (382) can reduce 253 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.65 | (6289) all_0_14_14 = e2 | all_0_15_15 = e2
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (6289), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (522) all_0_14_14 = e2
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (262,522) yields a new equation:
% 21.43/5.65 | (742) e2 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (742) can reduce 75 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (521) ~ (all_0_14_14 = e2)
% 21.43/5.65 | (752) all_0_15_15 = e2
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (270,752) yields a new equation:
% 21.43/5.65 | (500) e2 = e0
% 21.43/5.65 |
% 21.43/5.65 | Equations (500) can reduce 29 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (343) ~ (all_0_11_11 = e2)
% 21.43/5.65 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (16), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (492) all_0_8_8 = e2
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (621,492) yields a new equation:
% 21.43/5.65 | (742) e2 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (742) can reduce 75 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (198) ~ (all_0_8_8 = e2)
% 21.43/5.65 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 21.43/5.65 |
% 21.43/5.65 | Equations (621) can reduce 198 to:
% 21.43/5.65 | (924) ~ (e2 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 924 yields:
% 21.43/5.65 | (75) ~ (e2 = e1)
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (1762), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (752) all_0_15_15 = e2
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (270,752) yields a new equation:
% 21.43/5.65 | (500) e2 = e0
% 21.43/5.65 |
% 21.43/5.65 | Equations (500) can reduce 29 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (725) ~ (all_0_15_15 = e2)
% 21.43/5.65 | (3443) all_0_19_19 = e2 | all_0_23_23 = e2
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (3443), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (342) all_0_19_19 = e2
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (342,458) yields a new equation:
% 21.43/5.65 | (966) e2 = e1
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 966 yields:
% 21.43/5.65 | (742) e2 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (742) can reduce 75 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (456) ~ (all_0_19_19 = e2)
% 21.43/5.65 | (175) all_0_23_23 = e2
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (175,171) yields a new equation:
% 21.43/5.65 | (352) e3 = e2
% 21.43/5.65 |
% 21.43/5.65 | Equations (352) can reduce 111 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.43/5.65 |
% 21.43/5.65 | Applying alpha-rule on (273) yields:
% 21.43/5.65 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.43/5.65 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.65 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.43/5.65 | (277) all_0_16_16 = e3
% 21.43/5.65 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (278), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (196) ~ (all_0_8_8 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Equations (621) can reduce 196 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (621) all_0_8_8 = e1
% 21.43/5.65 | (306) ~ (all_0_10_10 = e3)
% 21.43/5.65 |
% 21.43/5.65 | Equations (695) can reduce 306 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.43/5.65 |
% 21.43/5.65 | Applying alpha-rule on (280) yields:
% 21.43/5.65 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.43/5.65 | (282) all_0_17_17 = e2
% 21.43/5.65 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.65 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.43/5.65 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (278), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (196) ~ (all_0_8_8 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Equations (621) can reduce 196 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (621) all_0_8_8 = e1
% 21.43/5.65 | (306) ~ (all_0_10_10 = e3)
% 21.43/5.65 |
% 21.43/5.65 | Equations (695) can reduce 306 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.43/5.65 |
% 21.43/5.65 | Applying alpha-rule on (287) yields:
% 21.43/5.65 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.43/5.65 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.65 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.43/5.65 | (291) all_0_19_19 = e0
% 21.43/5.65 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.43/5.65 |
% 21.43/5.65 | Combining equations (291,458) yields a new equation:
% 21.43/5.65 | (543) e1 = e0
% 21.43/5.65 |
% 21.43/5.65 | Equations (543) can reduce 157 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Applying alpha-rule on (294) yields:
% 21.43/5.65 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.43/5.65 | (296) ~ (all_0_23_23 = e0)
% 21.43/5.65 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.43/5.65 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.43/5.65 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.43/5.65 |
% 21.43/5.65 +-Applying beta-rule and splitting (297), into two cases.
% 21.43/5.65 |-Branch one:
% 21.43/5.65 | (312) ~ (all_0_19_19 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Equations (458) can reduce 312 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (458) all_0_19_19 = e1
% 21.43/5.65 | (197) ~ (all_0_18_18 = e0)
% 21.43/5.65 |
% 21.43/5.65 | Equations (302) can reduce 197 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (222) ~ (all_0_14_14 = e1)
% 21.43/5.65 | (490) all_0_15_15 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (490) can reduce 536 to:
% 21.43/5.65 | (172) $false
% 21.43/5.65 |
% 21.43/5.65 |-The branch is then unsatisfiable
% 21.43/5.65 |-Branch two:
% 21.43/5.65 | (216) all_0_18_18 = e2
% 21.43/5.65 | (368) all_0_17_17 = e1
% 21.43/5.65 |
% 21.43/5.65 | Equations (368) can reduce 5 to:
% 21.43/5.65 | (167) ~ (all_0_13_13 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Equations (368) can reduce 144 to:
% 21.43/5.65 | (770) ~ (all_0_16_16 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Equations (216) can reduce 28 to:
% 21.43/5.65 | (688) ~ (all_0_16_16 = e2)
% 21.43/5.65 |
% 21.43/5.65 | Equations (368,216) can reduce 80 to:
% 21.43/5.65 | (924) ~ (e2 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 924 yields:
% 21.43/5.65 | (75) ~ (e2 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Equations (368) can reduce 10 to:
% 21.43/5.65 | (311) ~ (all_0_19_19 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 311 yields:
% 21.43/5.65 | (312) ~ (all_0_19_19 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Equations (368) can reduce 76 to:
% 21.43/5.65 | (2325) ~ (all_0_21_21 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Simplifying 2325 yields:
% 21.43/5.65 | (969) ~ (all_0_21_21 = e1)
% 21.43/5.65 |
% 21.43/5.65 | Equations (216) can reduce 43 to:
% 21.43/5.65 | (4783) ~ (all_0_19_19 = e2)
% 21.43/5.65 |
% 21.43/5.66 | Simplifying 4783 yields:
% 21.43/5.66 | (456) ~ (all_0_19_19 = e2)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (97), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (277) all_0_16_16 = e3
% 21.43/5.66 |
% 21.43/5.66 | Equations (277) can reduce 138 to:
% 21.43/5.66 | (316) ~ (all_0_19_19 = e3)
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 316 yields:
% 21.43/5.66 | (317) ~ (all_0_19_19 = e3)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (52), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (331) all_0_19_19 = e3
% 21.43/5.66 |
% 21.43/5.66 | Equations (331) can reduce 317 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (317) ~ (all_0_19_19 = e3)
% 21.43/5.66 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (334), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (342) all_0_19_19 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (342) can reduce 456 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (456) ~ (all_0_19_19 = e2)
% 21.43/5.66 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (457), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (458) all_0_19_19 = e1
% 21.43/5.66 |
% 21.43/5.66 | Equations (458) can reduce 312 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (312) ~ (all_0_19_19 = e1)
% 21.43/5.66 | (291) all_0_19_19 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (291) can reduce 89 to:
% 21.43/5.66 | (184) ~ (all_0_15_15 = e0)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (66), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (492) all_0_8_8 = e2
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (621,492) yields a new equation:
% 21.43/5.66 | (742) e2 = e1
% 21.43/5.66 |
% 21.43/5.66 | Equations (742) can reduce 75 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (198) ~ (all_0_8_8 = e2)
% 21.43/5.66 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (2231), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (385) all_0_12_12 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (385) can reduce 93 to:
% 21.43/5.66 | (6398) ~ (all_0_13_13 = e2)
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 6398 yields:
% 21.43/5.66 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.66 |
% 21.43/5.66 | Equations (385) can reduce 60 to:
% 21.43/5.66 | (6400) ~ (all_0_14_14 = e2)
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 6400 yields:
% 21.43/5.66 | (521) ~ (all_0_14_14 = e2)
% 21.43/5.66 |
% 21.43/5.66 | Equations (385) can reduce 30 to:
% 21.43/5.66 | (724) ~ (all_0_15_15 = e2)
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 724 yields:
% 21.43/5.66 | (725) ~ (all_0_15_15 = e2)
% 21.43/5.66 |
% 21.43/5.66 | Equations (385) can reduce 606 to:
% 21.43/5.66 | (29) ~ (e2 = e0)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (140), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (373) ~ (all_0_13_13 = e0)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (9), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (414) all_0_11_11 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (414) can reduce 413 to:
% 21.43/5.66 | (75) ~ (e2 = e1)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (102), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (347) all_0_13_13 = e3
% 21.43/5.66 |
% 21.43/5.66 | Equations (347) can reduce 253 to:
% 21.43/5.66 | (111) ~ (e3 = e2)
% 21.43/5.66 |
% 21.43/5.66 | Equations (347) can reduce 167 to:
% 21.43/5.66 | (163) ~ (e3 = e1)
% 21.43/5.66 |
% 21.43/5.66 | Equations (347) can reduce 373 to:
% 21.43/5.66 | (3) ~ (e3 = e0)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (37), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (200) all_0_8_8 = e3
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (200,621) yields a new equation:
% 21.43/5.66 | (555) e3 = e1
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 555 yields:
% 21.43/5.66 | (556) e3 = e1
% 21.43/5.66 |
% 21.43/5.66 | Equations (556) can reduce 163 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.66 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (4875), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (382) all_0_13_13 = e2
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (347,382) yields a new equation:
% 21.43/5.66 | (511) e3 = e2
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 511 yields:
% 21.43/5.66 | (352) e3 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (352) can reduce 111 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.66 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (4885), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (220) all_0_18_18 = e1
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (216,220) yields a new equation:
% 21.43/5.66 | (966) e2 = e1
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 966 yields:
% 21.43/5.66 | (742) e2 = e1
% 21.43/5.66 |
% 21.43/5.66 | Equations (742) can reduce 75 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.66 | (182) all_0_23_23 = e0
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (182,171) yields a new equation:
% 21.43/5.66 | (323) e3 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (323) can reduce 3 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (337) ~ (all_0_13_13 = e3)
% 21.43/5.66 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (377), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (382) all_0_13_13 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (382) can reduce 253 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.66 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (443), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (444) all_0_13_13 = e1
% 21.43/5.66 |
% 21.43/5.66 | Equations (444) can reduce 167 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (167) ~ (all_0_13_13 = e1)
% 21.43/5.66 | (447) all_0_13_13 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (447) can reduce 373 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (343) ~ (all_0_11_11 = e2)
% 21.43/5.66 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (139), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (726) all_0_15_15 = e3
% 21.43/5.66 |
% 21.43/5.66 | Equations (726) can reduce 642 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (642) ~ (all_0_15_15 = e3)
% 21.43/5.66 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (164), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (392) all_0_12_12 = e0
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (392,385) yields a new equation:
% 21.43/5.66 | (500) e2 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (500) can reduce 29 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (606) ~ (all_0_12_12 = e0)
% 21.43/5.66 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (1766), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (447) all_0_13_13 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (447) can reduce 373 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (373) ~ (all_0_13_13 = e0)
% 21.43/5.66 | (3431) all_0_14_14 = e0 | all_0_15_15 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (3431), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (529) all_0_14_14 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (529) can reduce 12 to:
% 21.43/5.66 | (373) ~ (all_0_13_13 = e0)
% 21.43/5.66 |
% 21.43/5.66 | Equations (529) can reduce 521 to:
% 21.43/5.66 | (191) ~ (e2 = e0)
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 191 yields:
% 21.43/5.66 | (29) ~ (e2 = e0)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (729), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (752) all_0_15_15 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (752) can reduce 725 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (725) ~ (all_0_15_15 = e2)
% 21.43/5.66 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (102), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (347) all_0_13_13 = e3
% 21.43/5.66 |
% 21.43/5.66 | Equations (347) can reduce 253 to:
% 21.43/5.66 | (111) ~ (e3 = e2)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (1762), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (752) all_0_15_15 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (752) can reduce 725 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (725) ~ (all_0_15_15 = e2)
% 21.43/5.66 | (3443) all_0_19_19 = e2 | all_0_23_23 = e2
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (3443), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (342) all_0_19_19 = e2
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (291,342) yields a new equation:
% 21.43/5.66 | (500) e2 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (500) can reduce 29 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (456) ~ (all_0_19_19 = e2)
% 21.43/5.66 | (175) all_0_23_23 = e2
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (175,171) yields a new equation:
% 21.43/5.66 | (352) e3 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (352) can reduce 111 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (337) ~ (all_0_13_13 = e3)
% 21.43/5.66 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (377), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (382) all_0_13_13 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (382) can reduce 253 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.66 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (443), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (444) all_0_13_13 = e1
% 21.43/5.66 |
% 21.43/5.66 | Equations (444) can reduce 167 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (167) ~ (all_0_13_13 = e1)
% 21.43/5.66 | (447) all_0_13_13 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (447) can reduce 373 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (470) ~ (all_0_14_14 = e0)
% 21.43/5.66 | (270) all_0_15_15 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (270) can reduce 184 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (447) all_0_13_13 = e0
% 21.43/5.66 | (752) all_0_15_15 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (752) can reduce 725 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (336) ~ (all_0_12_12 = e2)
% 21.43/5.66 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (4), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (356) all_0_21_21 = e3
% 21.43/5.66 |
% 21.43/5.66 | Equations (356) can reduce 449 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (449) ~ (all_0_21_21 = e3)
% 21.43/5.66 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (2018), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (510) all_0_21_21 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (510) can reduce 449 to:
% 21.43/5.66 | (345) ~ (e3 = e2)
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 345 yields:
% 21.43/5.66 | (111) ~ (e3 = e2)
% 21.43/5.66 |
% 21.43/5.66 | Equations (510) can reduce 187 to:
% 21.43/5.66 | (29) ~ (e2 = e0)
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (2235), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (685) all_0_16_16 = e2
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (685,277) yields a new equation:
% 21.43/5.66 | (352) e3 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (352) can reduce 111 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (688) ~ (all_0_16_16 = e2)
% 21.43/5.66 | (335) all_0_20_20 = e2
% 21.43/5.66 |
% 21.43/5.66 | Combining equations (335,613) yields a new equation:
% 21.43/5.66 | (499) e2 = e0
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 499 yields:
% 21.43/5.66 | (500) e2 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (500) can reduce 29 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (514) ~ (all_0_21_21 = e2)
% 21.43/5.66 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (2022), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (554) all_0_21_21 = e1
% 21.43/5.66 |
% 21.43/5.66 | Equations (554) can reduce 969 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (969) ~ (all_0_21_21 = e1)
% 21.43/5.66 | (1185) all_0_21_21 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (1185) can reduce 187 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (208) ~ (all_0_16_16 = e3)
% 21.43/5.66 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (1810), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (685) all_0_16_16 = e2
% 21.43/5.66 |
% 21.43/5.66 | Equations (685) can reduce 688 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (688) ~ (all_0_16_16 = e2)
% 21.43/5.66 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 21.43/5.66 |
% 21.43/5.66 +-Applying beta-rule and splitting (2108), into two cases.
% 21.43/5.66 |-Branch one:
% 21.43/5.66 | (305) all_0_16_16 = e1
% 21.43/5.66 |
% 21.43/5.66 | Equations (305) can reduce 770 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (770) ~ (all_0_16_16 = e1)
% 21.43/5.66 | (608) all_0_16_16 = e0
% 21.43/5.66 |
% 21.43/5.66 | Equations (608) can reduce 612 to:
% 21.43/5.66 | (172) $false
% 21.43/5.66 |
% 21.43/5.66 |-The branch is then unsatisfiable
% 21.43/5.66 |-Branch two:
% 21.43/5.66 | (212) all_0_18_18 = e3
% 21.43/5.66 | (305) all_0_16_16 = e1
% 21.43/5.66 |
% 21.43/5.66 | Equations (212) can reduce 51 to:
% 21.43/5.66 | (306) ~ (all_0_10_10 = e3)
% 21.43/5.66 |
% 21.43/5.66 | Equations (305) can reduce 45 to:
% 21.43/5.66 | (307) ~ (all_0_12_12 = e1)
% 21.43/5.66 |
% 21.43/5.66 | Equations (212) can reduce 81 to:
% 21.43/5.66 | (308) ~ (all_0_14_14 = e3)
% 21.43/5.66 |
% 21.43/5.66 | Equations (305) can reduce 144 to:
% 21.43/5.66 | (309) ~ (all_0_17_17 = e1)
% 21.43/5.66 |
% 21.43/5.66 | Simplifying 309 yields:
% 21.43/5.66 | (310) ~ (all_0_17_17 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (305,212) can reduce 28 to:
% 21.43/5.67 | (313) ~ (e3 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 313 yields:
% 21.43/5.67 | (163) ~ (e3 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (305) can reduce 138 to:
% 21.43/5.67 | (311) ~ (all_0_19_19 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 311 yields:
% 21.43/5.67 | (312) ~ (all_0_19_19 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (305) can reduce 612 to:
% 21.43/5.67 | (157) ~ (e1 = e0)
% 21.43/5.67 |
% 21.43/5.67 | Equations (212) can reduce 80 to:
% 21.43/5.67 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (212) can reduce 43 to:
% 21.43/5.67 | (316) ~ (all_0_19_19 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 316 yields:
% 21.43/5.67 | (317) ~ (all_0_19_19 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (212) can reduce 119 to:
% 21.43/5.67 | (318) ~ (all_0_22_22 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 318 yields:
% 21.43/5.67 | (319) ~ (all_0_22_22 = e3)
% 21.43/5.67 |
% 21.43/5.67 | From (212) and (115) follows:
% 21.43/5.67 | (6549) op(e3, e1) = all_0_3_3
% 21.43/5.67 |
% 21.43/5.67 | From (212) and (110) follows:
% 21.43/5.67 | (6550) op(e1, e1) = e3
% 21.43/5.67 |
% 21.43/5.67 | Instantiating formula (152) with e3, e1, all_0_3_3, all_0_10_10 and discharging atoms op(e3, e1) = all_0_3_3, op(e3, e1) = all_0_10_10, yields:
% 21.43/5.67 | (6551) all_0_3_3 = all_0_10_10
% 21.43/5.67 |
% 21.43/5.67 | From (6551) and (18) follows:
% 21.43/5.67 | (6552) op(all_0_10_10, e1) = all_0_2_2
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (140), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (373) ~ (all_0_13_13 = e0)
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (73), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (198) ~ (all_0_8_8 = e2)
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (26), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (200) all_0_8_8 = e3
% 21.43/5.67 |
% 21.43/5.67 | Equations (200) can reduce 116 to:
% 21.43/5.67 | (201) ~ (all_0_9_9 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 201 yields:
% 21.43/5.67 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (200) can reduce 24 to:
% 21.43/5.67 | (1214) ~ (all_0_10_10 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 1214 yields:
% 21.43/5.67 | (306) ~ (all_0_10_10 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (200) can reduce 124 to:
% 21.43/5.67 | (203) ~ (all_0_11_11 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 203 yields:
% 21.43/5.67 | (204) ~ (all_0_11_11 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (200) can reduce 158 to:
% 21.43/5.67 | (205) ~ (all_0_12_12 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 205 yields:
% 21.43/5.67 | (206) ~ (all_0_12_12 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (200) can reduce 198 to:
% 21.43/5.67 | (111) ~ (e3 = e2)
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (78), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (254) all_0_12_12 = e3
% 21.43/5.67 |
% 21.43/5.67 | Equations (254) can reduce 206 to:
% 21.43/5.67 | (172) $false
% 21.43/5.67 |
% 21.43/5.67 |-The branch is then unsatisfiable
% 21.43/5.67 |-Branch two:
% 21.43/5.67 | (206) ~ (all_0_12_12 = e3)
% 21.43/5.67 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (381), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (385) all_0_12_12 = e2
% 21.43/5.67 |
% 21.43/5.67 | Equations (385) can reduce 93 to:
% 21.43/5.67 | (6398) ~ (all_0_13_13 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 6398 yields:
% 21.43/5.67 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Equations (385) can reduce 60 to:
% 21.43/5.67 | (6400) ~ (all_0_14_14 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 6400 yields:
% 21.43/5.67 | (521) ~ (all_0_14_14 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Equations (385) can reduce 30 to:
% 21.43/5.67 | (724) ~ (all_0_15_15 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 724 yields:
% 21.43/5.67 | (725) ~ (all_0_15_15 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Equations (385) can reduce 307 to:
% 21.43/5.67 | (75) ~ (e2 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (385) can reduce 606 to:
% 21.43/5.67 | (29) ~ (e2 = e0)
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (151), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (338) all_0_9_9 = e3
% 21.43/5.67 |
% 21.43/5.67 | Equations (338) can reduce 202 to:
% 21.43/5.67 | (172) $false
% 21.43/5.67 |
% 21.43/5.67 |-The branch is then unsatisfiable
% 21.43/5.67 |-Branch two:
% 21.43/5.67 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.67 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (341), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (347) all_0_13_13 = e3
% 21.43/5.67 |
% 21.43/5.67 | Equations (347) can reduce 22 to:
% 21.43/5.67 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (347) can reduce 12 to:
% 21.43/5.67 | (2797) ~ (all_0_14_14 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 2797 yields:
% 21.43/5.67 | (308) ~ (all_0_14_14 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (347) can reduce 135 to:
% 21.43/5.67 | (641) ~ (all_0_15_15 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 641 yields:
% 21.43/5.67 | (642) ~ (all_0_15_15 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (347) can reduce 5 to:
% 21.43/5.67 | (2518) ~ (all_0_17_17 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 2518 yields:
% 21.43/5.67 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (347) can reduce 104 to:
% 21.43/5.67 | (1837) ~ (all_0_21_21 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 1837 yields:
% 21.43/5.67 | (449) ~ (all_0_21_21 = e3)
% 21.43/5.67 |
% 21.43/5.67 | Equations (347) can reduce 253 to:
% 21.43/5.67 | (111) ~ (e3 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Equations (347) can reduce 167 to:
% 21.43/5.67 | (163) ~ (e3 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (347) can reduce 373 to:
% 21.43/5.67 | (3) ~ (e3 = e0)
% 21.43/5.67 |
% 21.43/5.67 | From (347) and (62) follows:
% 21.43/5.67 | (6595) op(e3, e2) = all_0_5_5
% 21.43/5.67 |
% 21.43/5.67 | From (347) and (147) follows:
% 21.43/5.67 | (2863) op(e2, e2) = e3
% 21.43/5.67 |
% 21.43/5.67 | Instantiating formula (152) with e3, e2, all_0_5_5, all_0_9_9 and discharging atoms op(e3, e2) = all_0_5_5, op(e3, e2) = all_0_9_9, yields:
% 21.43/5.67 | (6597) all_0_5_5 = all_0_9_9
% 21.43/5.67 |
% 21.43/5.67 | From (6597) and (67) follows:
% 21.43/5.67 | (6598) op(all_0_9_9, e2) = all_0_4_4
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (58), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (6599) ~ (all_0_3_3 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Equations (6551) can reduce 6599 to:
% 21.43/5.67 | (985) ~ (all_0_10_10 = e2)
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (68), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (730) all_0_10_10 = e2
% 21.43/5.67 |
% 21.43/5.67 | Equations (730) can reduce 985 to:
% 21.43/5.67 | (172) $false
% 21.43/5.67 |
% 21.43/5.67 |-The branch is then unsatisfiable
% 21.43/5.67 |-Branch two:
% 21.43/5.67 | (985) ~ (all_0_10_10 = e2)
% 21.43/5.67 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (986), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (522) all_0_14_14 = e2
% 21.43/5.67 |
% 21.43/5.67 | Equations (522) can reduce 521 to:
% 21.43/5.67 | (172) $false
% 21.43/5.67 |
% 21.43/5.67 |-The branch is then unsatisfiable
% 21.43/5.67 |-Branch two:
% 21.43/5.67 | (521) ~ (all_0_14_14 = e2)
% 21.43/5.67 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (999), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (216) all_0_18_18 = e2
% 21.43/5.67 |
% 21.43/5.67 | Combining equations (216,212) yields a new equation:
% 21.43/5.67 | (352) e3 = e2
% 21.43/5.67 |
% 21.43/5.67 | Equations (352) can reduce 111 to:
% 21.43/5.67 | (172) $false
% 21.43/5.67 |
% 21.43/5.67 |-The branch is then unsatisfiable
% 21.43/5.67 |-Branch two:
% 21.43/5.67 | (195) ~ (all_0_18_18 = e2)
% 21.43/5.67 | (520) all_0_22_22 = e2
% 21.43/5.67 |
% 21.43/5.67 | Equations (520) can reduce 72 to:
% 21.43/5.67 | (985) ~ (all_0_10_10 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Equations (520) can reduce 160 to:
% 21.43/5.67 | (521) ~ (all_0_14_14 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Equations (520) can reduce 150 to:
% 21.43/5.67 | (514) ~ (all_0_21_21 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Equations (520) can reduce 319 to:
% 21.43/5.67 | (345) ~ (e3 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 345 yields:
% 21.43/5.67 | (111) ~ (e3 = e2)
% 21.43/5.67 |
% 21.43/5.67 | Equations (520) can reduce 188 to:
% 21.43/5.67 | (29) ~ (e2 = e0)
% 21.43/5.67 |
% 21.43/5.67 | From (520) and (8) follows:
% 21.43/5.67 | (6620) op(e0, e1) = e2
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (4), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (356) all_0_21_21 = e3
% 21.43/5.67 |
% 21.43/5.67 | Equations (356) can reduce 449 to:
% 21.43/5.67 | (172) $false
% 21.43/5.67 |
% 21.43/5.67 |-The branch is then unsatisfiable
% 21.43/5.67 |-Branch two:
% 21.43/5.67 | (449) ~ (all_0_21_21 = e3)
% 21.43/5.67 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (2018), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (510) all_0_21_21 = e2
% 21.43/5.67 |
% 21.43/5.67 | Equations (510) can reduce 514 to:
% 21.43/5.67 | (172) $false
% 21.43/5.67 |
% 21.43/5.67 |-The branch is then unsatisfiable
% 21.43/5.67 |-Branch two:
% 21.43/5.67 | (514) ~ (all_0_21_21 = e2)
% 21.43/5.67 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (2022), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (554) all_0_21_21 = e1
% 21.43/5.67 |
% 21.43/5.67 | Equations (554) can reduce 74 to:
% 21.43/5.67 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (554) can reduce 76 to:
% 21.43/5.67 | (310) ~ (all_0_17_17 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (554) can reduce 449 to:
% 21.43/5.67 | (313) ~ (e3 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 313 yields:
% 21.43/5.67 | (163) ~ (e3 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (554) can reduce 514 to:
% 21.43/5.67 | (924) ~ (e2 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 924 yields:
% 21.43/5.67 | (75) ~ (e2 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (554) can reduce 187 to:
% 21.43/5.67 | (157) ~ (e1 = e0)
% 21.43/5.67 |
% 21.43/5.67 | From (554) and (100) follows:
% 21.43/5.67 | (6637) op(e0, e2) = e1
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (118), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (6638) ~ (all_0_4_4 = e1)
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (38), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (1797) ~ (all_0_2_2 = e2)
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (50), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (695) all_0_10_10 = e3
% 21.43/5.67 |
% 21.43/5.67 | Equations (695) can reduce 306 to:
% 21.43/5.67 | (172) $false
% 21.43/5.67 |
% 21.43/5.67 |-The branch is then unsatisfiable
% 21.43/5.67 |-Branch two:
% 21.43/5.67 | (306) ~ (all_0_10_10 = e3)
% 21.43/5.67 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (47), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (621) all_0_8_8 = e1
% 21.43/5.67 |
% 21.43/5.67 | Combining equations (621,200) yields a new equation:
% 21.43/5.67 | (556) e3 = e1
% 21.43/5.67 |
% 21.43/5.67 | Equations (556) can reduce 163 to:
% 21.43/5.67 | (172) $false
% 21.43/5.67 |
% 21.43/5.67 |-The branch is then unsatisfiable
% 21.43/5.67 |-Branch two:
% 21.43/5.67 | (196) ~ (all_0_8_8 = e1)
% 21.43/5.67 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 21.43/5.67 |
% 21.43/5.67 +-Applying beta-rule and splitting (49), into two cases.
% 21.43/5.67 |-Branch one:
% 21.43/5.67 | (242) all_0_10_10 = e1
% 21.43/5.67 |
% 21.43/5.67 | Equations (242) can reduce 166 to:
% 21.43/5.67 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (242) can reduce 40 to:
% 21.43/5.67 | (1573) ~ (all_0_14_14 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 1573 yields:
% 21.43/5.67 | (222) ~ (all_0_14_14 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (242) can reduce 306 to:
% 21.43/5.67 | (313) ~ (e3 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Simplifying 313 yields:
% 21.43/5.67 | (163) ~ (e3 = e1)
% 21.43/5.67 |
% 21.43/5.67 | Equations (242) can reduce 985 to:
% 21.43/5.67 | (924) ~ (e2 = e1)
% 21.43/5.67 |
% 21.43/5.68 | Simplifying 924 yields:
% 21.43/5.68 | (75) ~ (e2 = e1)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (148), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (389) all_0_12_12 = e1
% 21.43/5.68 |
% 21.43/5.68 | Combining equations (385,389) yields a new equation:
% 21.43/5.68 | (966) e2 = e1
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 966 yields:
% 21.43/5.68 | (742) e2 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (742) can reduce 75 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (307) ~ (all_0_12_12 = e1)
% 21.43/5.68 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (1399), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (444) all_0_13_13 = e1
% 21.43/5.68 |
% 21.43/5.68 | Combining equations (444,347) yields a new equation:
% 21.43/5.68 | (556) e3 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (556) can reduce 163 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (167) ~ (all_0_13_13 = e1)
% 21.43/5.68 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (1715), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (262) all_0_14_14 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (262) can reduce 222 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (222) ~ (all_0_14_14 = e1)
% 21.43/5.68 | (490) all_0_15_15 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (490) can reduce 129 to:
% 21.43/5.68 | (413) ~ (all_0_11_11 = e1)
% 21.43/5.68 |
% 21.43/5.68 | Equations (490) can reduce 71 to:
% 21.43/5.68 | (222) ~ (all_0_14_14 = e1)
% 21.43/5.68 |
% 21.43/5.68 | Equations (490) can reduce 89 to:
% 21.43/5.68 | (311) ~ (all_0_19_19 = e1)
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 311 yields:
% 21.43/5.68 | (312) ~ (all_0_19_19 = e1)
% 21.43/5.68 |
% 21.43/5.68 | Equations (490) can reduce 642 to:
% 21.43/5.68 | (313) ~ (e3 = e1)
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 313 yields:
% 21.43/5.68 | (163) ~ (e3 = e1)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (134), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (516) all_0_14_14 = e3
% 21.43/5.68 |
% 21.43/5.68 | Equations (516) can reduce 308 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (308) ~ (all_0_14_14 = e3)
% 21.43/5.68 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (519), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (522) all_0_14_14 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (522) can reduce 521 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (521) ~ (all_0_14_14 = e2)
% 21.43/5.68 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (525), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (262) all_0_14_14 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (262) can reduce 222 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (222) ~ (all_0_14_14 = e1)
% 21.43/5.68 | (529) all_0_14_14 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (133), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (360) all_0_17_17 = e3
% 21.43/5.68 |
% 21.43/5.68 | Equations (360) can reduce 315 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.68 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (95), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (399) all_0_11_11 = e3
% 21.43/5.68 |
% 21.43/5.68 | Equations (399) can reduce 204 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (204) ~ (all_0_11_11 = e3)
% 21.43/5.68 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (52), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (331) all_0_19_19 = e3
% 21.43/5.68 |
% 21.43/5.68 | Equations (331) can reduce 317 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (317) ~ (all_0_19_19 = e3)
% 21.43/5.68 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (9), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (414) all_0_11_11 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (414) can reduce 54 to:
% 21.43/5.68 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Equations (414) can reduce 204 to:
% 21.43/5.68 | (345) ~ (e3 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 345 yields:
% 21.43/5.68 | (111) ~ (e3 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Equations (414) can reduce 413 to:
% 21.43/5.68 | (75) ~ (e2 = e1)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (69), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (338) all_0_9_9 = e3
% 21.43/5.68 |
% 21.43/5.68 | Equations (338) can reduce 202 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.68 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (113), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (685) all_0_16_16 = e2
% 21.43/5.68 |
% 21.43/5.68 | Combining equations (305,685) yields a new equation:
% 21.43/5.68 | (742) e2 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (742) can reduce 75 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (688) ~ (all_0_16_16 = e2)
% 21.43/5.68 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (305) can reduce 688 to:
% 21.43/5.68 | (924) ~ (e2 = e1)
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 924 yields:
% 21.43/5.68 | (75) ~ (e2 = e1)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (61), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (235) all_0_9_9 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (235) can reduce 383 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.68 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (930), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (382) all_0_13_13 = e2
% 21.43/5.68 |
% 21.43/5.68 | Combining equations (382,347) yields a new equation:
% 21.43/5.68 | (352) e3 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (352) can reduce 111 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.68 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (939), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (282) all_0_17_17 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (282) can reduce 136 to:
% 21.43/5.68 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (34), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (424) all_0_9_9 = e0
% 21.43/5.68 |
% 21.43/5.68 | From (424) and (6598) follows:
% 21.43/5.68 | (6730) op(e0, e2) = all_0_4_4
% 21.43/5.68 |
% 21.43/5.68 | Instantiating formula (152) with e0, e2, all_0_4_4, e1 and discharging atoms op(e0, e2) = all_0_4_4, op(e0, e2) = e1, yields:
% 21.43/5.68 | (6731) all_0_4_4 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (6731) can reduce 6638 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (372) ~ (all_0_9_9 = e0)
% 21.43/5.68 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (406), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (235) all_0_9_9 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (235) can reduce 383 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.68 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (410), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (411) all_0_9_9 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (411) can reduce 423 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.68 | (424) all_0_9_9 = e0
% 21.43/5.68 |
% 21.43/5.68 | Equations (424) can reduce 372 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.68 | (510) all_0_21_21 = e2
% 21.43/5.68 |
% 21.43/5.68 | Combining equations (554,510) yields a new equation:
% 21.43/5.68 | (742) e2 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (742) can reduce 75 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (343) ~ (all_0_11_11 = e2)
% 21.43/5.68 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (402), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (414) all_0_11_11 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (414) can reduce 343 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (343) ~ (all_0_11_11 = e2)
% 21.43/5.68 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (417), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (418) all_0_11_11 = e1
% 21.43/5.68 |
% 21.43/5.68 | Equations (418) can reduce 413 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (413) ~ (all_0_11_11 = e1)
% 21.43/5.68 | (247) all_0_11_11 = e0
% 21.43/5.68 |
% 21.43/5.68 | Equations (247) can reduce 54 to:
% 21.43/5.68 | (372) ~ (all_0_9_9 = e0)
% 21.43/5.68 |
% 21.43/5.68 | Equations (247) can reduce 132 to:
% 21.43/5.68 | (675) ~ (all_0_19_19 = e0)
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 675 yields:
% 21.43/5.68 | (185) ~ (all_0_19_19 = e0)
% 21.43/5.68 |
% 21.43/5.68 | Equations (247) can reduce 413 to:
% 21.43/5.68 | (193) ~ (e1 = e0)
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 193 yields:
% 21.43/5.68 | (157) ~ (e1 = e0)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (69), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (338) all_0_9_9 = e3
% 21.43/5.68 |
% 21.43/5.68 | Equations (338) can reduce 202 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.68 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (334), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (342) all_0_19_19 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (342) can reduce 10 to:
% 21.43/5.68 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Equations (342) can reduce 317 to:
% 21.43/5.68 | (345) ~ (e3 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 345 yields:
% 21.43/5.68 | (111) ~ (e3 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Equations (342) can reduce 312 to:
% 21.43/5.68 | (75) ~ (e2 = e1)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (16), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (492) all_0_8_8 = e2
% 21.43/5.68 |
% 21.43/5.68 | Combining equations (492,200) yields a new equation:
% 21.43/5.68 | (352) e3 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (352) can reduce 111 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (198) ~ (all_0_8_8 = e2)
% 21.43/5.68 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (200) can reduce 198 to:
% 21.43/5.68 | (111) ~ (e3 = e2)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (61), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (235) all_0_9_9 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (235) can reduce 136 to:
% 21.43/5.68 | (2237) ~ (all_0_17_17 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 2237 yields:
% 21.43/5.68 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Equations (235) can reduce 202 to:
% 21.43/5.68 | (345) ~ (e3 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 345 yields:
% 21.43/5.68 | (111) ~ (e3 = e2)
% 21.43/5.68 |
% 21.43/5.68 | Equations (235) can reduce 423 to:
% 21.43/5.68 | (75) ~ (e2 = e1)
% 21.43/5.68 |
% 21.43/5.68 | Equations (235) can reduce 372 to:
% 21.43/5.68 | (29) ~ (e2 = e0)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (117), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (608) all_0_16_16 = e0
% 21.43/5.68 |
% 21.43/5.68 | Combining equations (305,608) yields a new equation:
% 21.43/5.68 | (542) e1 = e0
% 21.43/5.68 |
% 21.43/5.68 | Simplifying 542 yields:
% 21.43/5.68 | (543) e1 = e0
% 21.43/5.68 |
% 21.43/5.68 | Equations (543) can reduce 157 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (612) ~ (all_0_16_16 = e0)
% 21.43/5.68 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 21.43/5.68 |
% 21.43/5.68 | Equations (305) can reduce 612 to:
% 21.43/5.68 | (157) ~ (e1 = e0)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (363), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (282) all_0_17_17 = e2
% 21.43/5.68 |
% 21.43/5.68 | Equations (282) can reduce 344 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.68 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (34), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (424) all_0_9_9 = e0
% 21.43/5.68 |
% 21.43/5.68 | Combining equations (424,235) yields a new equation:
% 21.43/5.68 | (500) e2 = e0
% 21.43/5.68 |
% 21.43/5.68 | Equations (500) can reduce 29 to:
% 21.43/5.68 | (172) $false
% 21.43/5.68 |
% 21.43/5.68 |-The branch is then unsatisfiable
% 21.43/5.68 |-Branch two:
% 21.43/5.68 | (372) ~ (all_0_9_9 = e0)
% 21.43/5.68 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.43/5.68 |
% 21.43/5.68 | Equations (235) can reduce 372 to:
% 21.43/5.68 | (29) ~ (e2 = e0)
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (99), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.43/5.68 |
% 21.43/5.68 +-Applying beta-rule and splitting (223), into two cases.
% 21.43/5.68 |-Branch one:
% 21.43/5.68 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (224), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (225), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (226), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (227), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (228), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (229), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (230), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (231) yields:
% 21.43/5.69 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.69 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.43/5.69 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.43/5.69 | (235) all_0_9_9 = e2
% 21.43/5.69 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.43/5.69 |
% 21.43/5.69 | Equations (200) can reduce 232 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (238) yields:
% 21.43/5.69 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.69 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.43/5.69 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.43/5.69 | (242) all_0_10_10 = e1
% 21.43/5.69 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.43/5.69 |
% 21.43/5.69 | Equations (200) can reduce 232 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (245) yields:
% 21.43/5.69 | (232) ~ (all_0_8_8 = e3)
% 21.43/5.69 | (247) all_0_11_11 = e0
% 21.43/5.69 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.43/5.69 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.43/5.69 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.43/5.69 |
% 21.43/5.69 | Equations (200) can reduce 232 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (252) yields:
% 21.43/5.69 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.69 | (254) all_0_12_12 = e3
% 21.43/5.69 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.43/5.69 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.43/5.69 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.43/5.69 |
% 21.43/5.69 | Combining equations (385,254) yields a new equation:
% 21.43/5.69 | (352) e3 = e2
% 21.43/5.69 |
% 21.43/5.69 | Equations (352) can reduce 111 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (259) yields:
% 21.43/5.69 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.69 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.43/5.69 | (262) all_0_14_14 = e1
% 21.43/5.69 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.43/5.69 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.43/5.69 |
% 21.43/5.69 | Combining equations (529,262) yields a new equation:
% 21.43/5.69 | (543) e1 = e0
% 21.43/5.69 |
% 21.43/5.69 | Equations (543) can reduce 157 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (266) yields:
% 21.43/5.69 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.69 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.43/5.69 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.43/5.69 | (270) all_0_15_15 = e0
% 21.43/5.69 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.43/5.69 |
% 21.43/5.69 | Combining equations (490,270) yields a new equation:
% 21.43/5.69 | (542) e1 = e0
% 21.43/5.69 |
% 21.43/5.69 | Simplifying 542 yields:
% 21.43/5.69 | (543) e1 = e0
% 21.43/5.69 |
% 21.43/5.69 | Equations (543) can reduce 157 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (273) yields:
% 21.43/5.69 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.43/5.69 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.69 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.43/5.69 | (277) all_0_16_16 = e3
% 21.43/5.69 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.43/5.69 |
% 21.43/5.69 | Combining equations (305,277) yields a new equation:
% 21.43/5.69 | (556) e3 = e1
% 21.43/5.69 |
% 21.43/5.69 | Equations (556) can reduce 163 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (280) yields:
% 21.43/5.69 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.43/5.69 | (282) all_0_17_17 = e2
% 21.43/5.69 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.69 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.43/5.69 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.43/5.69 |
% 21.43/5.69 | Equations (282) can reduce 344 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (287) yields:
% 21.43/5.69 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.43/5.69 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.69 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.43/5.69 | (291) all_0_19_19 = e0
% 21.43/5.69 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.43/5.69 |
% 21.43/5.69 | Combining equations (342,291) yields a new equation:
% 21.43/5.69 | (499) e2 = e0
% 21.43/5.69 |
% 21.43/5.69 | Simplifying 499 yields:
% 21.43/5.69 | (500) e2 = e0
% 21.43/5.69 |
% 21.43/5.69 | Equations (500) can reduce 29 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.43/5.69 |
% 21.43/5.69 | Applying alpha-rule on (294) yields:
% 21.43/5.69 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.43/5.69 | (296) ~ (all_0_23_23 = e0)
% 21.43/5.69 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.43/5.69 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.43/5.69 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (367), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (368) all_0_17_17 = e1
% 21.43/5.69 |
% 21.43/5.69 | Equations (368) can reduce 310 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (310) ~ (all_0_17_17 = e1)
% 21.43/5.69 | (371) all_0_17_17 = e0
% 21.43/5.69 |
% 21.43/5.69 | Equations (371) can reduce 315 to:
% 21.43/5.69 | (189) ~ (e3 = e0)
% 21.43/5.69 |
% 21.43/5.69 | Simplifying 189 yields:
% 21.43/5.69 | (3) ~ (e3 = e0)
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (295), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (327) all_0_20_20 = e3
% 21.43/5.69 |
% 21.43/5.69 | Combining equations (613,327) yields a new equation:
% 21.43/5.69 | (323) e3 = e0
% 21.43/5.69 |
% 21.43/5.69 | Equations (323) can reduce 3 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (210) ~ (all_0_20_20 = e3)
% 21.43/5.69 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 21.43/5.69 |
% 21.43/5.69 +-Applying beta-rule and splitting (4710), into two cases.
% 21.43/5.69 |-Branch one:
% 21.43/5.69 | (510) all_0_21_21 = e2
% 21.43/5.69 |
% 21.43/5.69 | Combining equations (554,510) yields a new equation:
% 21.43/5.69 | (742) e2 = e1
% 21.43/5.69 |
% 21.43/5.69 | Equations (742) can reduce 75 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (514) ~ (all_0_21_21 = e2)
% 21.43/5.69 | (864) all_0_22_22 = e1
% 21.43/5.69 |
% 21.43/5.69 | Combining equations (520,864) yields a new equation:
% 21.43/5.69 | (966) e2 = e1
% 21.43/5.69 |
% 21.43/5.69 | Simplifying 966 yields:
% 21.43/5.69 | (742) e2 = e1
% 21.43/5.69 |
% 21.43/5.69 | Equations (742) can reduce 75 to:
% 21.43/5.69 | (172) $false
% 21.43/5.69 |
% 21.43/5.69 |-The branch is then unsatisfiable
% 21.43/5.69 |-Branch two:
% 21.43/5.69 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.69 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 21.43/5.69 |
% 21.43/5.70 +-Applying beta-rule and splitting (930), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (382) all_0_13_13 = e2
% 21.43/5.70 |
% 21.43/5.70 | Combining equations (382,347) yields a new equation:
% 21.43/5.70 | (352) e3 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (352) can reduce 111 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.70 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (363), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (282) all_0_17_17 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (282) can reduce 344 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.70 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (939), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (282) all_0_17_17 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (282) can reduce 344 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.70 | (510) all_0_21_21 = e2
% 21.43/5.70 |
% 21.43/5.70 | Combining equations (554,510) yields a new equation:
% 21.43/5.70 | (742) e2 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (742) can reduce 75 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (456) ~ (all_0_19_19 = e2)
% 21.43/5.70 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (457), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (458) all_0_19_19 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (458) can reduce 312 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (312) ~ (all_0_19_19 = e1)
% 21.43/5.70 | (291) all_0_19_19 = e0
% 21.43/5.70 |
% 21.43/5.70 | Equations (291) can reduce 185 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (221) ~ (all_0_10_10 = e1)
% 21.43/5.70 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (751), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (411) all_0_9_9 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (411) can reduce 423 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.70 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (900), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (242) all_0_10_10 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (242) can reduce 221 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (221) ~ (all_0_10_10 = e1)
% 21.43/5.70 | (418) all_0_11_11 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (418) can reduce 54 to:
% 21.43/5.70 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.70 |
% 21.43/5.70 | Equations (418) can reduce 204 to:
% 21.43/5.70 | (313) ~ (e3 = e1)
% 21.43/5.70 |
% 21.43/5.70 | Simplifying 313 yields:
% 21.43/5.70 | (163) ~ (e3 = e1)
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (745), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (262) all_0_14_14 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (262) can reduce 40 to:
% 21.43/5.70 | (221) ~ (all_0_10_10 = e1)
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (16), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (492) all_0_8_8 = e2
% 21.43/5.70 |
% 21.43/5.70 | Combining equations (492,200) yields a new equation:
% 21.43/5.70 | (352) e3 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (352) can reduce 111 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (198) ~ (all_0_8_8 = e2)
% 21.43/5.70 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (496), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (235) all_0_9_9 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (235) can reduce 166 to:
% 21.43/5.70 | (1208) ~ (all_0_10_10 = e2)
% 21.43/5.70 |
% 21.43/5.70 | Simplifying 1208 yields:
% 21.43/5.70 | (985) ~ (all_0_10_10 = e2)
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (145), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (395) all_0_10_10 = e0
% 21.43/5.70 |
% 21.43/5.70 | From (395) and (6552) follows:
% 21.43/5.70 | (6953) op(e0, e1) = all_0_2_2
% 21.43/5.70 |
% 21.43/5.70 | Instantiating formula (152) with e0, e1, all_0_2_2, e2 and discharging atoms op(e0, e1) = all_0_2_2, op(e0, e1) = e2, yields:
% 21.43/5.70 | (3189) all_0_2_2 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (3189) can reduce 1797 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (426) ~ (all_0_10_10 = e0)
% 21.43/5.70 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (1231), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (730) all_0_10_10 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (730) can reduce 985 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (985) ~ (all_0_10_10 = e2)
% 21.43/5.70 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (1235), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (242) all_0_10_10 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (242) can reduce 221 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (221) ~ (all_0_10_10 = e1)
% 21.43/5.70 | (395) all_0_10_10 = e0
% 21.43/5.70 |
% 21.43/5.70 | Equations (395) can reduce 426 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.70 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (69), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (338) all_0_9_9 = e3
% 21.43/5.70 |
% 21.43/5.70 | Equations (338) can reduce 202 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.70 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (61), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (235) all_0_9_9 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (235) can reduce 383 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.70 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (406), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (235) all_0_9_9 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (235) can reduce 383 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.70 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (410), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (411) all_0_9_9 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (411) can reduce 423 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (423) ~ (all_0_9_9 = e1)
% 21.43/5.70 | (424) all_0_9_9 = e0
% 21.43/5.70 |
% 21.43/5.70 | Equations (424) can reduce 166 to:
% 21.43/5.70 | (630) ~ (all_0_10_10 = e0)
% 21.43/5.70 |
% 21.43/5.70 | Simplifying 630 yields:
% 21.43/5.70 | (426) ~ (all_0_10_10 = e0)
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (1231), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (730) all_0_10_10 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (730) can reduce 985 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (985) ~ (all_0_10_10 = e2)
% 21.43/5.70 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (145), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (395) all_0_10_10 = e0
% 21.43/5.70 |
% 21.43/5.70 | Equations (395) can reduce 426 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (426) ~ (all_0_10_10 = e0)
% 21.43/5.70 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (1235), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (242) all_0_10_10 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (242) can reduce 221 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (221) ~ (all_0_10_10 = e1)
% 21.43/5.70 | (395) all_0_10_10 = e0
% 21.43/5.70 |
% 21.43/5.70 | Equations (395) can reduce 426 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (222) ~ (all_0_14_14 = e1)
% 21.43/5.70 | (794) all_0_18_18 = e1 | all_0_22_22 = e1
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (794), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (220) all_0_18_18 = e1
% 21.43/5.70 |
% 21.43/5.70 | Combining equations (212,220) yields a new equation:
% 21.43/5.70 | (555) e3 = e1
% 21.43/5.70 |
% 21.43/5.70 | Simplifying 555 yields:
% 21.43/5.70 | (556) e3 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (556) can reduce 163 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (275) ~ (all_0_18_18 = e1)
% 21.43/5.70 | (864) all_0_22_22 = e1
% 21.43/5.70 |
% 21.43/5.70 | Combining equations (520,864) yields a new equation:
% 21.43/5.70 | (966) e2 = e1
% 21.43/5.70 |
% 21.43/5.70 | Simplifying 966 yields:
% 21.43/5.70 | (742) e2 = e1
% 21.43/5.70 |
% 21.43/5.70 | Equations (742) can reduce 75 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (3189) all_0_2_2 = e2
% 21.43/5.70 | (7012) ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e3)
% 21.43/5.70 |
% 21.43/5.70 | From (3189) and (6552) follows:
% 21.43/5.70 | (7013) op(all_0_10_10, e1) = e2
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (7012), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (211) ~ (all_0_18_18 = e3)
% 21.43/5.70 |
% 21.43/5.70 | Equations (212) can reduce 211 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (212) all_0_18_18 = e3
% 21.43/5.70 | (7017) ~ (all_0_3_3 = e0)
% 21.43/5.70 |
% 21.43/5.70 | Equations (6551) can reduce 7017 to:
% 21.43/5.70 | (426) ~ (all_0_10_10 = e0)
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (50), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (695) all_0_10_10 = e3
% 21.43/5.70 |
% 21.43/5.70 | Equations (695) can reduce 306 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (306) ~ (all_0_10_10 = e3)
% 21.43/5.70 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (1231), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (730) all_0_10_10 = e2
% 21.43/5.70 |
% 21.43/5.70 | Equations (730) can reduce 985 to:
% 21.43/5.70 | (172) $false
% 21.43/5.70 |
% 21.43/5.70 |-The branch is then unsatisfiable
% 21.43/5.70 |-Branch two:
% 21.43/5.70 | (985) ~ (all_0_10_10 = e2)
% 21.43/5.70 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 21.43/5.70 |
% 21.43/5.70 +-Applying beta-rule and splitting (1235), into two cases.
% 21.43/5.70 |-Branch one:
% 21.43/5.70 | (242) all_0_10_10 = e1
% 21.43/5.70 |
% 21.43/5.70 | From (242) and (7013) follows:
% 21.43/5.70 | (3240) op(e1, e1) = e2
% 21.43/5.70 |
% 21.43/5.70 | Instantiating formula (152) with e1, e1, e2, e3 and discharging atoms op(e1, e1) = e3, op(e1, e1) = e2, yields:
% 21.43/5.71 | (352) e3 = e2
% 21.43/5.71 |
% 21.43/5.71 | Equations (352) can reduce 111 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (221) ~ (all_0_10_10 = e1)
% 21.43/5.71 | (395) all_0_10_10 = e0
% 21.43/5.71 |
% 21.43/5.71 | Equations (395) can reduce 426 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (6731) all_0_4_4 = e1
% 21.43/5.71 | (7035) ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e3)
% 21.43/5.71 |
% 21.43/5.71 | From (6731) and (6598) follows:
% 21.43/5.71 | (7036) op(all_0_9_9, e2) = e1
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (7035), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (337) ~ (all_0_13_13 = e3)
% 21.43/5.71 |
% 21.43/5.71 | Equations (347) can reduce 337 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (347) all_0_13_13 = e3
% 21.43/5.71 | (7040) ~ (all_0_5_5 = e0)
% 21.43/5.71 |
% 21.43/5.71 | Equations (6597) can reduce 7040 to:
% 21.43/5.71 | (372) ~ (all_0_9_9 = e0)
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (34), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (424) all_0_9_9 = e0
% 21.43/5.71 |
% 21.43/5.71 | Equations (424) can reduce 372 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (372) ~ (all_0_9_9 = e0)
% 21.43/5.71 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (69), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (338) all_0_9_9 = e3
% 21.43/5.71 |
% 21.43/5.71 | Equations (338) can reduce 202 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (202) ~ (all_0_9_9 = e3)
% 21.43/5.71 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (664), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (447) all_0_13_13 = e0
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (347,447) yields a new equation:
% 21.43/5.71 | (564) e3 = e0
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 564 yields:
% 21.43/5.71 | (323) e3 = e0
% 21.43/5.71 |
% 21.43/5.71 | Equations (323) can reduce 3 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (373) ~ (all_0_13_13 = e0)
% 21.43/5.71 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (406), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (235) all_0_9_9 = e2
% 21.43/5.71 |
% 21.43/5.71 | From (235) and (7036) follows:
% 21.43/5.71 | (7057) op(e2, e2) = e1
% 21.43/5.71 |
% 21.43/5.71 | Instantiating formula (152) with e2, e2, e1, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e1, yields:
% 21.43/5.71 | (556) e3 = e1
% 21.43/5.71 |
% 21.43/5.71 | Equations (556) can reduce 163 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.71 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (61), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (235) all_0_9_9 = e2
% 21.43/5.71 |
% 21.43/5.71 | Equations (235) can reduce 383 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (383) ~ (all_0_9_9 = e2)
% 21.43/5.71 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (16), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (492) all_0_8_8 = e2
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (492,200) yields a new equation:
% 21.43/5.71 | (352) e3 = e2
% 21.43/5.71 |
% 21.43/5.71 | Equations (352) can reduce 111 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (198) ~ (all_0_8_8 = e2)
% 21.43/5.71 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 21.43/5.71 |
% 21.43/5.71 | Equations (200) can reduce 198 to:
% 21.43/5.71 | (111) ~ (e3 = e2)
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (668), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (371) all_0_17_17 = e0
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (930), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (382) all_0_13_13 = e2
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (347,382) yields a new equation:
% 21.43/5.71 | (511) e3 = e2
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 511 yields:
% 21.43/5.71 | (352) e3 = e2
% 21.43/5.71 |
% 21.43/5.71 | Equations (352) can reduce 111 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (253) ~ (all_0_13_13 = e2)
% 21.43/5.71 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (939), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (282) all_0_17_17 = e2
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (282,371) yields a new equation:
% 21.43/5.71 | (499) e2 = e0
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 499 yields:
% 21.43/5.71 | (500) e2 = e0
% 21.43/5.71 |
% 21.43/5.71 | Equations (500) can reduce 29 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.71 | (510) all_0_21_21 = e2
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (554,510) yields a new equation:
% 21.43/5.71 | (742) e2 = e1
% 21.43/5.71 |
% 21.43/5.71 | Equations (742) can reduce 75 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (1184) ~ (all_0_17_17 = e0)
% 21.43/5.71 | (1185) all_0_21_21 = e0
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (554,1185) yields a new equation:
% 21.43/5.71 | (542) e1 = e0
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 542 yields:
% 21.43/5.71 | (543) e1 = e0
% 21.43/5.71 |
% 21.43/5.71 | Equations (543) can reduce 157 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (969) ~ (all_0_21_21 = e1)
% 21.43/5.71 | (1185) all_0_21_21 = e0
% 21.43/5.71 |
% 21.43/5.71 | Equations (1185) can reduce 187 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (7095) all_0_3_3 = e2
% 21.43/5.71 | (7096) ~ (all_0_2_2 = e0) | ~ (all_0_18_18 = e3)
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (7095,6551) yields a new equation:
% 21.43/5.71 | (730) all_0_10_10 = e2
% 21.43/5.71 |
% 21.43/5.71 | Equations (730) can reduce 72 to:
% 21.43/5.71 | (2581) ~ (all_0_22_22 = e2)
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 2581 yields:
% 21.43/5.71 | (531) ~ (all_0_22_22 = e2)
% 21.43/5.71 |
% 21.43/5.71 | Equations (730) can reduce 306 to:
% 21.43/5.71 | (345) ~ (e3 = e2)
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 345 yields:
% 21.43/5.71 | (111) ~ (e3 = e2)
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (17), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (335) all_0_20_20 = e2
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (335,613) yields a new equation:
% 21.43/5.71 | (499) e2 = e0
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 499 yields:
% 21.43/5.71 | (500) e2 = e0
% 21.43/5.71 |
% 21.43/5.71 | Equations (500) can reduce 29 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (466) ~ (all_0_20_20 = e2)
% 21.43/5.71 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (509), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (510) all_0_21_21 = e2
% 21.43/5.71 |
% 21.43/5.71 | Equations (510) can reduce 76 to:
% 21.43/5.71 | (344) ~ (all_0_17_17 = e2)
% 21.43/5.71 |
% 21.43/5.71 | Equations (510) can reduce 449 to:
% 21.43/5.71 | (345) ~ (e3 = e2)
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 345 yields:
% 21.43/5.71 | (111) ~ (e3 = e2)
% 21.43/5.71 |
% 21.43/5.71 | Equations (510) can reduce 187 to:
% 21.43/5.71 | (29) ~ (e2 = e0)
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (145), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (395) all_0_10_10 = e0
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (395,730) yields a new equation:
% 21.43/5.71 | (500) e2 = e0
% 21.43/5.71 |
% 21.43/5.71 | Equations (500) can reduce 29 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (426) ~ (all_0_10_10 = e0)
% 21.43/5.71 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (427), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (529) all_0_14_14 = e0
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (148), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (389) all_0_12_12 = e1
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (389,385) yields a new equation:
% 21.43/5.71 | (742) e2 = e1
% 21.43/5.71 |
% 21.43/5.71 | Equations (742) can reduce 75 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (307) ~ (all_0_12_12 = e1)
% 21.43/5.71 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (1399), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (444) all_0_13_13 = e1
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (347,444) yields a new equation:
% 21.43/5.71 | (555) e3 = e1
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 555 yields:
% 21.43/5.71 | (556) e3 = e1
% 21.43/5.71 |
% 21.43/5.71 | Equations (556) can reduce 163 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (167) ~ (all_0_13_13 = e1)
% 21.43/5.71 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (1715), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (262) all_0_14_14 = e1
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (529,262) yields a new equation:
% 21.43/5.71 | (543) e1 = e0
% 21.43/5.71 |
% 21.43/5.71 | Equations (543) can reduce 157 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (222) ~ (all_0_14_14 = e1)
% 21.43/5.71 | (490) all_0_15_15 = e1
% 21.43/5.71 |
% 21.43/5.71 | Equations (490) can reduce 129 to:
% 21.43/5.71 | (413) ~ (all_0_11_11 = e1)
% 21.43/5.71 |
% 21.43/5.71 | Equations (490) can reduce 642 to:
% 21.43/5.71 | (313) ~ (e3 = e1)
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 313 yields:
% 21.43/5.71 | (163) ~ (e3 = e1)
% 21.43/5.71 |
% 21.43/5.71 | Equations (490) can reduce 725 to:
% 21.43/5.71 | (924) ~ (e2 = e1)
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 924 yields:
% 21.43/5.71 | (75) ~ (e2 = e1)
% 21.43/5.71 |
% 21.43/5.71 +-Applying beta-rule and splitting (113), into two cases.
% 21.43/5.71 |-Branch one:
% 21.43/5.71 | (685) all_0_16_16 = e2
% 21.43/5.71 |
% 21.43/5.71 | Combining equations (305,685) yields a new equation:
% 21.43/5.71 | (742) e2 = e1
% 21.43/5.71 |
% 21.43/5.71 | Equations (742) can reduce 75 to:
% 21.43/5.71 | (172) $false
% 21.43/5.71 |
% 21.43/5.71 |-The branch is then unsatisfiable
% 21.43/5.71 |-Branch two:
% 21.43/5.71 | (688) ~ (all_0_16_16 = e2)
% 21.43/5.71 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 21.43/5.71 |
% 21.43/5.71 | Equations (305) can reduce 688 to:
% 21.43/5.71 | (924) ~ (e2 = e1)
% 21.43/5.71 |
% 21.43/5.71 | Simplifying 924 yields:
% 21.43/5.71 | (75) ~ (e2 = e1)
% 21.43/5.72 |
% 21.43/5.72 +-Applying beta-rule and splitting (49), into two cases.
% 21.43/5.72 |-Branch one:
% 21.43/5.72 | (242) all_0_10_10 = e1
% 21.43/5.72 |
% 21.43/5.72 | Combining equations (242,730) yields a new equation:
% 21.43/5.72 | (742) e2 = e1
% 21.43/5.72 |
% 21.43/5.72 | Equations (742) can reduce 75 to:
% 21.43/5.72 | (172) $false
% 21.43/5.72 |
% 21.43/5.72 |-The branch is then unsatisfiable
% 21.43/5.72 |-Branch two:
% 21.43/5.72 | (221) ~ (all_0_10_10 = e1)
% 21.43/5.72 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 21.43/5.72 |
% 21.43/5.72 | Equations (730) can reduce 221 to:
% 21.43/5.72 | (75) ~ (e2 = e1)
% 21.43/5.72 |
% 21.43/5.72 +-Applying beta-rule and splitting (133), into two cases.
% 21.43/5.72 |-Branch one:
% 21.43/5.72 | (360) all_0_17_17 = e3
% 21.43/5.72 |
% 21.43/5.72 | Equations (360) can reduce 315 to:
% 21.43/5.72 | (172) $false
% 21.43/5.72 |
% 21.43/5.72 |-The branch is then unsatisfiable
% 21.43/5.72 |-Branch two:
% 21.43/5.72 | (315) ~ (all_0_17_17 = e3)
% 21.43/5.72 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.43/5.72 |
% 21.43/5.72 +-Applying beta-rule and splitting (21), into two cases.
% 21.43/5.72 |-Branch one:
% 21.78/5.72 | (411) all_0_9_9 = e1
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (411,6597) yields a new equation:
% 21.78/5.72 | (3186) all_0_5_5 = e1
% 21.78/5.72 |
% 21.78/5.72 | Equations (411) can reduce 136 to:
% 21.78/5.72 | (309) ~ (all_0_17_17 = e1)
% 21.78/5.72 |
% 21.78/5.72 | Simplifying 309 yields:
% 21.78/5.72 | (310) ~ (all_0_17_17 = e1)
% 21.78/5.72 |
% 21.78/5.72 | From (411) and (6598) follows:
% 21.78/5.72 | (2030) op(e1, e2) = all_0_4_4
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (130), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (2775) ~ (all_0_5_5 = e1)
% 21.78/5.72 |
% 21.78/5.72 | Equations (3186) can reduce 2775 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (3186) all_0_5_5 = e1
% 21.78/5.72 | (7165) ~ (all_0_4_4 = e0) | ~ (all_0_13_13 = e3)
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (689), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (282) all_0_17_17 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (282) can reduce 344 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (344) ~ (all_0_17_17 = e2)
% 21.78/5.72 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (694), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (216) all_0_18_18 = e2
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (212,216) yields a new equation:
% 21.78/5.72 | (511) e3 = e2
% 21.78/5.72 |
% 21.78/5.72 | Simplifying 511 yields:
% 21.78/5.72 | (352) e3 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (352) can reduce 111 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (195) ~ (all_0_18_18 = e2)
% 21.78/5.72 | (342) all_0_19_19 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (342) can reduce 10 to:
% 21.78/5.72 | (344) ~ (all_0_17_17 = e2)
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (363), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (282) all_0_17_17 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (282) can reduce 344 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (344) ~ (all_0_17_17 = e2)
% 21.78/5.72 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (367), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (368) all_0_17_17 = e1
% 21.78/5.72 |
% 21.78/5.72 | Equations (368) can reduce 310 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (310) ~ (all_0_17_17 = e1)
% 21.78/5.72 | (371) all_0_17_17 = e0
% 21.78/5.72 |
% 21.78/5.72 | From (371) and (114) follows:
% 21.78/5.72 | (7185) op(e1, e2) = e0
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (7165), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (337) ~ (all_0_13_13 = e3)
% 21.78/5.72 |
% 21.78/5.72 | Equations (347) can reduce 337 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (347) all_0_13_13 = e3
% 21.78/5.72 | (7189) ~ (all_0_4_4 = e0)
% 21.78/5.72 |
% 21.78/5.72 | Instantiating formula (152) with e1, e2, e0, all_0_4_4 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = e0, yields:
% 21.78/5.72 | (7190) all_0_4_4 = e0
% 21.78/5.72 |
% 21.78/5.72 | Equations (7190) can reduce 7189 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (423) ~ (all_0_9_9 = e1)
% 21.78/5.72 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (47), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (621) all_0_8_8 = e1
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (621,200) yields a new equation:
% 21.78/5.72 | (556) e3 = e1
% 21.78/5.72 |
% 21.78/5.72 | Equations (556) can reduce 163 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (196) ~ (all_0_8_8 = e1)
% 21.78/5.72 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (751), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (411) all_0_9_9 = e1
% 21.78/5.72 |
% 21.78/5.72 | Equations (411) can reduce 423 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (423) ~ (all_0_9_9 = e1)
% 21.78/5.72 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (900), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (242) all_0_10_10 = e1
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (730,242) yields a new equation:
% 21.78/5.72 | (966) e2 = e1
% 21.78/5.72 |
% 21.78/5.72 | Simplifying 966 yields:
% 21.78/5.72 | (742) e2 = e1
% 21.78/5.72 |
% 21.78/5.72 | Equations (742) can reduce 75 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (221) ~ (all_0_10_10 = e1)
% 21.78/5.72 | (418) all_0_11_11 = e1
% 21.78/5.72 |
% 21.78/5.72 | Equations (418) can reduce 413 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (470) ~ (all_0_14_14 = e0)
% 21.78/5.72 | (572) all_0_18_18 = e0 | all_0_22_22 = e0
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (572), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (302) all_0_18_18 = e0
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (212,302) yields a new equation:
% 21.78/5.72 | (564) e3 = e0
% 21.78/5.72 |
% 21.78/5.72 | Simplifying 564 yields:
% 21.78/5.72 | (323) e3 = e0
% 21.78/5.72 |
% 21.78/5.72 | Equations (323) can reduce 3 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (197) ~ (all_0_18_18 = e0)
% 21.78/5.72 | (583) all_0_22_22 = e0
% 21.78/5.72 |
% 21.78/5.72 | Equations (583) can reduce 188 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (514) ~ (all_0_21_21 = e2)
% 21.78/5.72 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (515), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (520) all_0_22_22 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (520) can reduce 531 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (531) ~ (all_0_22_22 = e2)
% 21.78/5.72 | (175) all_0_23_23 = e2
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (171,175) yields a new equation:
% 21.78/5.72 | (511) e3 = e2
% 21.78/5.72 |
% 21.78/5.72 | Simplifying 511 yields:
% 21.78/5.72 | (352) e3 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (352) can reduce 111 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (337) ~ (all_0_13_13 = e3)
% 21.78/5.72 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (350), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (360) all_0_17_17 = e3
% 21.78/5.72 |
% 21.78/5.72 | Equations (360) can reduce 315 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (315) ~ (all_0_17_17 = e3)
% 21.78/5.72 | (356) all_0_21_21 = e3
% 21.78/5.72 |
% 21.78/5.72 | Equations (356) can reduce 449 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (336) ~ (all_0_12_12 = e2)
% 21.78/5.72 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (66), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (492) all_0_8_8 = e2
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (200,492) yields a new equation:
% 21.78/5.72 | (511) e3 = e2
% 21.78/5.72 |
% 21.78/5.72 | Simplifying 511 yields:
% 21.78/5.72 | (352) e3 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (352) can reduce 111 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (198) ~ (all_0_8_8 = e2)
% 21.78/5.72 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (2231), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (385) all_0_12_12 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (385) can reduce 336 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (336) ~ (all_0_12_12 = e2)
% 21.78/5.72 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (2235), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (685) all_0_16_16 = e2
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (305,685) yields a new equation:
% 21.78/5.72 | (742) e2 = e1
% 21.78/5.72 |
% 21.78/5.72 | Equations (742) can reduce 75 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (688) ~ (all_0_16_16 = e2)
% 21.78/5.72 | (335) all_0_20_20 = e2
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (613,335) yields a new equation:
% 21.78/5.72 | (500) e2 = e0
% 21.78/5.72 |
% 21.78/5.72 | Equations (500) can reduce 29 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.72 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (149), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (200) all_0_8_8 = e3
% 21.78/5.72 |
% 21.78/5.72 | Equations (200) can reduce 232 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.72 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (1829), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (254) all_0_12_12 = e3
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (66), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (492) all_0_8_8 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (492) can reduce 198 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (198) ~ (all_0_8_8 = e2)
% 21.78/5.72 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (2231), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (385) all_0_12_12 = e2
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (254,385) yields a new equation:
% 21.78/5.72 | (511) e3 = e2
% 21.78/5.72 |
% 21.78/5.72 | Simplifying 511 yields:
% 21.78/5.72 | (352) e3 = e2
% 21.78/5.72 |
% 21.78/5.72 | Equations (352) can reduce 111 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (336) ~ (all_0_12_12 = e2)
% 21.78/5.72 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 21.78/5.72 |
% 21.78/5.72 +-Applying beta-rule and splitting (2235), into two cases.
% 21.78/5.72 |-Branch one:
% 21.78/5.72 | (685) all_0_16_16 = e2
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (305,685) yields a new equation:
% 21.78/5.72 | (742) e2 = e1
% 21.78/5.72 |
% 21.78/5.72 | Equations (742) can reduce 75 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (688) ~ (all_0_16_16 = e2)
% 21.78/5.72 | (335) all_0_20_20 = e2
% 21.78/5.72 |
% 21.78/5.72 | Combining equations (613,335) yields a new equation:
% 21.78/5.72 | (500) e2 = e0
% 21.78/5.72 |
% 21.78/5.72 | Equations (500) can reduce 29 to:
% 21.78/5.72 | (172) $false
% 21.78/5.72 |
% 21.78/5.72 |-The branch is then unsatisfiable
% 21.78/5.72 |-Branch two:
% 21.78/5.72 | (206) ~ (all_0_12_12 = e3)
% 21.78/5.72 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 21.78/5.72 |
% 21.78/5.73 +-Applying beta-rule and splitting (2092), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (277) all_0_16_16 = e3
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (305,277) yields a new equation:
% 21.78/5.73 | (556) e3 = e1
% 21.78/5.73 |
% 21.78/5.73 | Equations (556) can reduce 163 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (208) ~ (all_0_16_16 = e3)
% 21.78/5.73 | (327) all_0_20_20 = e3
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (613,327) yields a new equation:
% 21.78/5.73 | (323) e3 = e0
% 21.78/5.73 |
% 21.78/5.73 | Equations (323) can reduce 3 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (492) all_0_8_8 = e2
% 21.78/5.73 | (338) all_0_9_9 = e3
% 21.78/5.73 |
% 21.78/5.73 | Equations (492) can reduce 24 to:
% 21.78/5.73 | (1208) ~ (all_0_10_10 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 1208 yields:
% 21.78/5.73 | (985) ~ (all_0_10_10 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Equations (338) can reduce 22 to:
% 21.78/5.73 | (1109) ~ (all_0_13_13 = e3)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 1109 yields:
% 21.78/5.73 | (337) ~ (all_0_13_13 = e3)
% 21.78/5.73 |
% 21.78/5.73 | Equations (338) can reduce 74 to:
% 21.78/5.73 | (1837) ~ (all_0_21_21 = e3)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 1837 yields:
% 21.78/5.73 | (449) ~ (all_0_21_21 = e3)
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (34), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (424) all_0_9_9 = e0
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (338,424) yields a new equation:
% 21.78/5.73 | (564) e3 = e0
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 564 yields:
% 21.78/5.73 | (323) e3 = e0
% 21.78/5.73 |
% 21.78/5.73 | Equations (323) can reduce 3 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (372) ~ (all_0_9_9 = e0)
% 21.78/5.73 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 21.78/5.73 |
% 21.78/5.73 | Equations (338) can reduce 372 to:
% 21.78/5.73 | (3) ~ (e3 = e0)
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (102), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (347) all_0_13_13 = e3
% 21.78/5.73 |
% 21.78/5.73 | Equations (347) can reduce 337 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (337) ~ (all_0_13_13 = e3)
% 21.78/5.73 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (377), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (382) all_0_13_13 = e2
% 21.78/5.73 |
% 21.78/5.73 | Equations (382) can reduce 93 to:
% 21.78/5.73 | (336) ~ (all_0_12_12 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Equations (382) can reduce 12 to:
% 21.78/5.73 | (6400) ~ (all_0_14_14 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 6400 yields:
% 21.78/5.73 | (521) ~ (all_0_14_14 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Equations (382) can reduce 5 to:
% 21.78/5.73 | (2237) ~ (all_0_17_17 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 2237 yields:
% 21.78/5.73 | (344) ~ (all_0_17_17 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Equations (382) can reduce 104 to:
% 21.78/5.73 | (2013) ~ (all_0_21_21 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 2013 yields:
% 21.78/5.73 | (514) ~ (all_0_21_21 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Equations (382) can reduce 337 to:
% 21.78/5.73 | (345) ~ (e3 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 345 yields:
% 21.78/5.73 | (111) ~ (e3 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Equations (382) can reduce 167 to:
% 21.78/5.73 | (75) ~ (e2 = e1)
% 21.78/5.73 |
% 21.78/5.73 | Equations (382) can reduce 373 to:
% 21.78/5.73 | (29) ~ (e2 = e0)
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (149), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (200) all_0_8_8 = e3
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (492,200) yields a new equation:
% 21.78/5.73 | (352) e3 = e2
% 21.78/5.73 |
% 21.78/5.73 | Equations (352) can reduce 111 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.73 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (1829), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (254) all_0_12_12 = e3
% 21.78/5.73 |
% 21.78/5.73 | Equations (254) can reduce 336 to:
% 21.78/5.73 | (111) ~ (e3 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Equations (254) can reduce 307 to:
% 21.78/5.73 | (163) ~ (e3 = e1)
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (17), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (335) all_0_20_20 = e2
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (613,335) yields a new equation:
% 21.78/5.73 | (500) e2 = e0
% 21.78/5.73 |
% 21.78/5.73 | Equations (500) can reduce 29 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (466) ~ (all_0_20_20 = e2)
% 21.78/5.73 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 21.78/5.73 |
% 21.78/5.73 | Equations (613) can reduce 466 to:
% 21.78/5.73 | (191) ~ (e2 = e0)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 191 yields:
% 21.78/5.73 | (29) ~ (e2 = e0)
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (4), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (356) all_0_21_21 = e3
% 21.78/5.73 |
% 21.78/5.73 | Equations (356) can reduce 449 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (449) ~ (all_0_21_21 = e3)
% 21.78/5.73 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (21), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (411) all_0_9_9 = e1
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (411,338) yields a new equation:
% 21.78/5.73 | (556) e3 = e1
% 21.78/5.73 |
% 21.78/5.73 | Equations (556) can reduce 163 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (423) ~ (all_0_9_9 = e1)
% 21.78/5.73 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (546), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (444) all_0_13_13 = e1
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (382,444) yields a new equation:
% 21.78/5.73 | (966) e2 = e1
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 966 yields:
% 21.78/5.73 | (742) e2 = e1
% 21.78/5.73 |
% 21.78/5.73 | Equations (742) can reduce 75 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (167) ~ (all_0_13_13 = e1)
% 21.78/5.73 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (550), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (368) all_0_17_17 = e1
% 21.78/5.73 |
% 21.78/5.73 | Equations (368) can reduce 310 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (310) ~ (all_0_17_17 = e1)
% 21.78/5.73 | (554) all_0_21_21 = e1
% 21.78/5.73 |
% 21.78/5.73 | Equations (554) can reduce 449 to:
% 21.78/5.73 | (313) ~ (e3 = e1)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 313 yields:
% 21.78/5.73 | (163) ~ (e3 = e1)
% 21.78/5.73 |
% 21.78/5.73 | Equations (554) can reduce 514 to:
% 21.78/5.73 | (924) ~ (e2 = e1)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 924 yields:
% 21.78/5.73 | (75) ~ (e2 = e1)
% 21.78/5.73 |
% 21.78/5.73 | Equations (554) can reduce 187 to:
% 21.78/5.73 | (157) ~ (e1 = e0)
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (664), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (447) all_0_13_13 = e0
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (382,447) yields a new equation:
% 21.78/5.73 | (499) e2 = e0
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 499 yields:
% 21.78/5.73 | (500) e2 = e0
% 21.78/5.73 |
% 21.78/5.73 | Equations (500) can reduce 29 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (373) ~ (all_0_13_13 = e0)
% 21.78/5.73 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (668), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (371) all_0_17_17 = e0
% 21.78/5.73 |
% 21.78/5.73 | Equations (371) can reduce 10 to:
% 21.78/5.73 | (675) ~ (all_0_19_19 = e0)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 675 yields:
% 21.78/5.73 | (185) ~ (all_0_19_19 = e0)
% 21.78/5.73 |
% 21.78/5.73 | Equations (371) can reduce 344 to:
% 21.78/5.73 | (191) ~ (e2 = e0)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 191 yields:
% 21.78/5.73 | (29) ~ (e2 = e0)
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (113), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (685) all_0_16_16 = e2
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (305,685) yields a new equation:
% 21.78/5.73 | (742) e2 = e1
% 21.78/5.73 |
% 21.78/5.73 | Equations (742) can reduce 75 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (688) ~ (all_0_16_16 = e2)
% 21.78/5.73 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (689), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (282) all_0_17_17 = e2
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (371,282) yields a new equation:
% 21.78/5.73 | (500) e2 = e0
% 21.78/5.73 |
% 21.78/5.73 | Equations (500) can reduce 29 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (344) ~ (all_0_17_17 = e2)
% 21.78/5.73 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (52), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (331) all_0_19_19 = e3
% 21.78/5.73 |
% 21.78/5.73 | Equations (331) can reduce 317 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (317) ~ (all_0_19_19 = e3)
% 21.78/5.73 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (68), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (730) all_0_10_10 = e2
% 21.78/5.73 |
% 21.78/5.73 | Equations (730) can reduce 985 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (985) ~ (all_0_10_10 = e2)
% 21.78/5.73 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (986), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (522) all_0_14_14 = e2
% 21.78/5.73 |
% 21.78/5.73 | Equations (522) can reduce 521 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (521) ~ (all_0_14_14 = e2)
% 21.78/5.73 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (999), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (216) all_0_18_18 = e2
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (212,216) yields a new equation:
% 21.78/5.73 | (511) e3 = e2
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 511 yields:
% 21.78/5.73 | (352) e3 = e2
% 21.78/5.73 |
% 21.78/5.73 | Equations (352) can reduce 111 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (195) ~ (all_0_18_18 = e2)
% 21.78/5.73 | (520) all_0_22_22 = e2
% 21.78/5.73 |
% 21.78/5.73 | Equations (520) can reduce 319 to:
% 21.78/5.73 | (345) ~ (e3 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 345 yields:
% 21.78/5.73 | (111) ~ (e3 = e2)
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (694), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (216) all_0_18_18 = e2
% 21.78/5.73 |
% 21.78/5.73 | Combining equations (212,216) yields a new equation:
% 21.78/5.73 | (511) e3 = e2
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 511 yields:
% 21.78/5.73 | (352) e3 = e2
% 21.78/5.73 |
% 21.78/5.73 | Equations (352) can reduce 111 to:
% 21.78/5.73 | (172) $false
% 21.78/5.73 |
% 21.78/5.73 |-The branch is then unsatisfiable
% 21.78/5.73 |-Branch two:
% 21.78/5.73 | (195) ~ (all_0_18_18 = e2)
% 21.78/5.73 | (342) all_0_19_19 = e2
% 21.78/5.73 |
% 21.78/5.73 | Equations (342) can reduce 317 to:
% 21.78/5.73 | (345) ~ (e3 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Simplifying 345 yields:
% 21.78/5.73 | (111) ~ (e3 = e2)
% 21.78/5.73 |
% 21.78/5.73 | Equations (342) can reduce 312 to:
% 21.78/5.73 | (75) ~ (e2 = e1)
% 21.78/5.73 |
% 21.78/5.73 | Equations (342) can reduce 185 to:
% 21.78/5.73 | (29) ~ (e2 = e0)
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (99), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (223), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (224), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.78/5.73 |
% 21.78/5.73 +-Applying beta-rule and splitting (225), into two cases.
% 21.78/5.73 |-Branch one:
% 21.78/5.73 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (226), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (227), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (228), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (229), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (230), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (231) yields:
% 21.78/5.74 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.74 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.78/5.74 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.78/5.74 | (235) all_0_9_9 = e2
% 21.78/5.74 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (235,338) yields a new equation:
% 21.78/5.74 | (352) e3 = e2
% 21.78/5.74 |
% 21.78/5.74 | Equations (352) can reduce 111 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (238) yields:
% 21.78/5.74 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.74 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.78/5.74 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.78/5.74 | (242) all_0_10_10 = e1
% 21.78/5.74 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (234), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (170) ~ (all_0_23_23 = e3)
% 21.78/5.74 |
% 21.78/5.74 | Equations (171) can reduce 170 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (171) all_0_23_23 = e3
% 21.78/5.74 | (186) ~ (all_0_20_20 = e0)
% 21.78/5.74 |
% 21.78/5.74 | Equations (613) can reduce 186 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (245) yields:
% 21.78/5.74 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.74 | (247) all_0_11_11 = e0
% 21.78/5.74 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.78/5.74 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.78/5.74 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (233), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (770) ~ (all_0_16_16 = e1)
% 21.78/5.74 |
% 21.78/5.74 | Equations (305) can reduce 770 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (305) all_0_16_16 = e1
% 21.78/5.74 | (211) ~ (all_0_18_18 = e3)
% 21.78/5.74 |
% 21.78/5.74 | Equations (212) can reduce 211 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (252) yields:
% 21.78/5.74 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.74 | (254) all_0_12_12 = e3
% 21.78/5.74 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.78/5.74 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.78/5.74 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.78/5.74 |
% 21.78/5.74 | Equations (382) can reduce 253 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (259) yields:
% 21.78/5.74 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.74 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.78/5.74 | (262) all_0_14_14 = e1
% 21.78/5.74 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.78/5.74 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.78/5.74 |
% 21.78/5.74 | Equations (382) can reduce 253 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (266) yields:
% 21.78/5.74 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.74 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.78/5.74 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.78/5.74 | (270) all_0_15_15 = e0
% 21.78/5.74 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.78/5.74 |
% 21.78/5.74 | Equations (382) can reduce 253 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (273) yields:
% 21.78/5.74 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.78/5.74 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.74 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.78/5.74 | (277) all_0_16_16 = e3
% 21.78/5.74 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (305,277) yields a new equation:
% 21.78/5.74 | (556) e3 = e1
% 21.78/5.74 |
% 21.78/5.74 | Equations (556) can reduce 163 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (280) yields:
% 21.78/5.74 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.78/5.74 | (282) all_0_17_17 = e2
% 21.78/5.74 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.74 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.78/5.74 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (371,282) yields a new equation:
% 21.78/5.74 | (500) e2 = e0
% 21.78/5.74 |
% 21.78/5.74 | Equations (500) can reduce 29 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (287) yields:
% 21.78/5.74 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.78/5.74 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.74 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.78/5.74 | (291) all_0_19_19 = e0
% 21.78/5.74 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (342,291) yields a new equation:
% 21.78/5.74 | (499) e2 = e0
% 21.78/5.74 |
% 21.78/5.74 | Simplifying 499 yields:
% 21.78/5.74 | (500) e2 = e0
% 21.78/5.74 |
% 21.78/5.74 | Equations (500) can reduce 29 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.78/5.74 |
% 21.78/5.74 | Applying alpha-rule on (294) yields:
% 21.78/5.74 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.78/5.74 | (296) ~ (all_0_23_23 = e0)
% 21.78/5.74 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.78/5.74 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.78/5.74 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.78/5.74 |
% 21.78/5.74 | Equations (171) can reduce 296 to:
% 21.78/5.74 | (3) ~ (e3 = e0)
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (295), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (327) all_0_20_20 = e3
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (613,327) yields a new equation:
% 21.78/5.74 | (323) e3 = e0
% 21.78/5.74 |
% 21.78/5.74 | Equations (323) can reduce 3 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (210) ~ (all_0_20_20 = e3)
% 21.78/5.74 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (4710), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (510) all_0_21_21 = e2
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (554,510) yields a new equation:
% 21.78/5.74 | (742) e2 = e1
% 21.78/5.74 |
% 21.78/5.74 | Equations (742) can reduce 75 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (514) ~ (all_0_21_21 = e2)
% 21.78/5.74 | (864) all_0_22_22 = e1
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (520,864) yields a new equation:
% 21.78/5.74 | (966) e2 = e1
% 21.78/5.74 |
% 21.78/5.74 | Simplifying 966 yields:
% 21.78/5.74 | (742) e2 = e1
% 21.78/5.74 |
% 21.78/5.74 | Equations (742) can reduce 75 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (1184) ~ (all_0_17_17 = e0)
% 21.78/5.74 | (1185) all_0_21_21 = e0
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (1185,554) yields a new equation:
% 21.78/5.74 | (543) e1 = e0
% 21.78/5.74 |
% 21.78/5.74 | Equations (543) can reduce 157 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (206) ~ (all_0_12_12 = e3)
% 21.78/5.74 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (2092), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (277) all_0_16_16 = e3
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (305,277) yields a new equation:
% 21.78/5.74 | (556) e3 = e1
% 21.78/5.74 |
% 21.78/5.74 | Equations (556) can reduce 163 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (208) ~ (all_0_16_16 = e3)
% 21.78/5.74 | (327) all_0_20_20 = e3
% 21.78/5.74 |
% 21.78/5.74 | Combining equations (613,327) yields a new equation:
% 21.78/5.74 | (323) e3 = e0
% 21.78/5.74 |
% 21.78/5.74 | Equations (323) can reduce 3 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.74 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 21.78/5.74 |
% 21.78/5.74 +-Applying beta-rule and splitting (443), into two cases.
% 21.78/5.74 |-Branch one:
% 21.78/5.74 | (444) all_0_13_13 = e1
% 21.78/5.74 |
% 21.78/5.74 | Equations (444) can reduce 167 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (167) ~ (all_0_13_13 = e1)
% 21.78/5.74 | (447) all_0_13_13 = e0
% 21.78/5.74 |
% 21.78/5.74 | Equations (447) can reduce 373 to:
% 21.78/5.74 | (172) $false
% 21.78/5.74 |
% 21.78/5.74 |-The branch is then unsatisfiable
% 21.78/5.74 |-Branch two:
% 21.78/5.74 | (447) all_0_13_13 = e0
% 21.78/5.74 | (752) all_0_15_15 = e2
% 21.78/5.74 |
% 21.78/5.74 | Equations (447) can reduce 12 to:
% 21.78/5.74 | (469) ~ (all_0_14_14 = e0)
% 21.78/5.74 |
% 21.78/5.74 | Simplifying 469 yields:
% 21.78/5.74 | (470) ~ (all_0_14_14 = e0)
% 21.78/5.74 |
% 21.78/5.74 | Equations (447) can reduce 5 to:
% 21.78/5.74 | (1781) ~ (all_0_17_17 = e0)
% 21.78/5.74 |
% 21.78/5.74 | Simplifying 1781 yields:
% 21.78/5.74 | (1184) ~ (all_0_17_17 = e0)
% 21.78/5.74 |
% 21.78/5.74 | Equations (447) can reduce 167 to:
% 21.78/5.74 | (193) ~ (e1 = e0)
% 21.78/5.74 |
% 21.78/5.74 | Simplifying 193 yields:
% 21.78/5.74 | (157) ~ (e1 = e0)
% 21.78/5.74 |
% 21.78/5.75 | Equations (752) can reduce 71 to:
% 21.78/5.75 | (521) ~ (all_0_14_14 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Equations (752) can reduce 89 to:
% 21.78/5.75 | (4783) ~ (all_0_19_19 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 4783 yields:
% 21.78/5.75 | (456) ~ (all_0_19_19 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Equations (752) can reduce 642 to:
% 21.78/5.75 | (345) ~ (e3 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 345 yields:
% 21.78/5.75 | (111) ~ (e3 = e2)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (113), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (685) all_0_16_16 = e2
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (305,685) yields a new equation:
% 21.78/5.75 | (742) e2 = e1
% 21.78/5.75 |
% 21.78/5.75 | Equations (742) can reduce 75 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (688) ~ (all_0_16_16 = e2)
% 21.78/5.75 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (689), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (282) all_0_17_17 = e2
% 21.78/5.75 |
% 21.78/5.75 | Equations (282) can reduce 136 to:
% 21.78/5.75 | (383) ~ (all_0_9_9 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Equations (282) can reduce 10 to:
% 21.78/5.75 | (4783) ~ (all_0_19_19 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 4783 yields:
% 21.78/5.75 | (456) ~ (all_0_19_19 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Equations (282) can reduce 76 to:
% 21.78/5.75 | (2013) ~ (all_0_21_21 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 2013 yields:
% 21.78/5.75 | (514) ~ (all_0_21_21 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Equations (282) can reduce 315 to:
% 21.78/5.75 | (345) ~ (e3 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 345 yields:
% 21.78/5.75 | (111) ~ (e3 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Equations (282) can reduce 310 to:
% 21.78/5.75 | (75) ~ (e2 = e1)
% 21.78/5.75 |
% 21.78/5.75 | Equations (282) can reduce 1184 to:
% 21.78/5.75 | (29) ~ (e2 = e0)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (52), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (331) all_0_19_19 = e3
% 21.78/5.75 |
% 21.78/5.75 | Equations (331) can reduce 317 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (317) ~ (all_0_19_19 = e3)
% 21.78/5.75 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (78), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (254) all_0_12_12 = e3
% 21.78/5.75 |
% 21.78/5.75 | Equations (254) can reduce 158 to:
% 21.78/5.75 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.75 |
% 21.78/5.75 | Equations (254) can reduce 60 to:
% 21.78/5.75 | (2797) ~ (all_0_14_14 = e3)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 2797 yields:
% 21.78/5.75 | (308) ~ (all_0_14_14 = e3)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (92), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (200) all_0_8_8 = e3
% 21.78/5.75 |
% 21.78/5.75 | Equations (200) can reduce 232 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.75 | (7571) all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (7571), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (338) all_0_9_9 = e3
% 21.78/5.75 |
% 21.78/5.75 | Equations (338) can reduce 116 to:
% 21.78/5.75 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.75 |
% 21.78/5.75 | Equations (338) can reduce 166 to:
% 21.78/5.75 | (1214) ~ (all_0_10_10 = e3)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 1214 yields:
% 21.78/5.75 | (306) ~ (all_0_10_10 = e3)
% 21.78/5.75 |
% 21.78/5.75 | Equations (338) can reduce 54 to:
% 21.78/5.75 | (203) ~ (all_0_11_11 = e3)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 203 yields:
% 21.78/5.75 | (204) ~ (all_0_11_11 = e3)
% 21.78/5.75 |
% 21.78/5.75 | Equations (338) can reduce 383 to:
% 21.78/5.75 | (111) ~ (e3 = e2)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (134), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (516) all_0_14_14 = e3
% 21.78/5.75 |
% 21.78/5.75 | Equations (516) can reduce 308 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (308) ~ (all_0_14_14 = e3)
% 21.78/5.75 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (66), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (492) all_0_8_8 = e2
% 21.78/5.75 |
% 21.78/5.75 | Equations (492) can reduce 24 to:
% 21.78/5.75 | (1208) ~ (all_0_10_10 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 1208 yields:
% 21.78/5.75 | (985) ~ (all_0_10_10 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Equations (492) can reduce 124 to:
% 21.78/5.75 | (1210) ~ (all_0_11_11 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 1210 yields:
% 21.78/5.75 | (343) ~ (all_0_11_11 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Equations (492) can reduce 232 to:
% 21.78/5.75 | (345) ~ (e3 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 345 yields:
% 21.78/5.75 | (111) ~ (e3 = e2)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (334), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (342) all_0_19_19 = e2
% 21.78/5.75 |
% 21.78/5.75 | Equations (342) can reduce 456 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (456) ~ (all_0_19_19 = e2)
% 21.78/5.75 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (457), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (458) all_0_19_19 = e1
% 21.78/5.75 |
% 21.78/5.75 | Equations (458) can reduce 312 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (312) ~ (all_0_19_19 = e1)
% 21.78/5.75 | (291) all_0_19_19 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (291) can reduce 132 to:
% 21.78/5.75 | (183) ~ (all_0_11_11 = e0)
% 21.78/5.75 |
% 21.78/5.75 | Equations (291) can reduce 317 to:
% 21.78/5.75 | (189) ~ (e3 = e0)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 189 yields:
% 21.78/5.75 | (3) ~ (e3 = e0)
% 21.78/5.75 |
% 21.78/5.75 | Equations (291) can reduce 456 to:
% 21.78/5.75 | (191) ~ (e2 = e0)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 191 yields:
% 21.78/5.75 | (29) ~ (e2 = e0)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (95), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (399) all_0_11_11 = e3
% 21.78/5.75 |
% 21.78/5.75 | Equations (399) can reduce 204 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (204) ~ (all_0_11_11 = e3)
% 21.78/5.75 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (63), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (322) all_0_8_8 = e0
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (322,492) yields a new equation:
% 21.78/5.75 | (500) e2 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (500) can reduce 29 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (199) ~ (all_0_8_8 = e0)
% 21.78/5.75 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (402), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (414) all_0_11_11 = e2
% 21.78/5.75 |
% 21.78/5.75 | Equations (414) can reduce 343 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (343) ~ (all_0_11_11 = e2)
% 21.78/5.75 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (417), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (418) all_0_11_11 = e1
% 21.78/5.75 |
% 21.78/5.75 | Equations (418) can reduce 204 to:
% 21.78/5.75 | (313) ~ (e3 = e1)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 313 yields:
% 21.78/5.75 | (163) ~ (e3 = e1)
% 21.78/5.75 |
% 21.78/5.75 | Equations (418) can reduce 183 to:
% 21.78/5.75 | (157) ~ (e1 = e0)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (432), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (424) all_0_9_9 = e0
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (424,338) yields a new equation:
% 21.78/5.75 | (323) e3 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (323) can reduce 3 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (372) ~ (all_0_9_9 = e0)
% 21.78/5.75 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (436), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (395) all_0_10_10 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (395) can reduce 306 to:
% 21.78/5.75 | (189) ~ (e3 = e0)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 189 yields:
% 21.78/5.75 | (3) ~ (e3 = e0)
% 21.78/5.75 |
% 21.78/5.75 | Equations (395) can reduce 985 to:
% 21.78/5.75 | (191) ~ (e2 = e0)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 191 yields:
% 21.78/5.75 | (29) ~ (e2 = e0)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (37), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (200) all_0_8_8 = e3
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (492,200) yields a new equation:
% 21.78/5.75 | (352) e3 = e2
% 21.78/5.75 |
% 21.78/5.75 | Equations (352) can reduce 111 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.75 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (4875), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (382) all_0_13_13 = e2
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (447,382) yields a new equation:
% 21.78/5.75 | (500) e2 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (500) can reduce 29 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.75 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (4885), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (220) all_0_18_18 = e1
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (212,220) yields a new equation:
% 21.78/5.75 | (555) e3 = e1
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 555 yields:
% 21.78/5.75 | (556) e3 = e1
% 21.78/5.75 |
% 21.78/5.75 | Equations (556) can reduce 163 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.75 | (182) all_0_23_23 = e0
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (182,171) yields a new equation:
% 21.78/5.75 | (323) e3 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (323) can reduce 3 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (426) ~ (all_0_10_10 = e0)
% 21.78/5.75 | (247) all_0_11_11 = e0
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (418,247) yields a new equation:
% 21.78/5.75 | (542) e1 = e0
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 542 yields:
% 21.78/5.75 | (543) e1 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (543) can reduce 157 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (413) ~ (all_0_11_11 = e1)
% 21.78/5.75 | (247) all_0_11_11 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (247) can reduce 183 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (198) ~ (all_0_8_8 = e2)
% 21.78/5.75 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (519), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (522) all_0_14_14 = e2
% 21.78/5.75 |
% 21.78/5.75 | Equations (522) can reduce 521 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (521) ~ (all_0_14_14 = e2)
% 21.78/5.75 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (525), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (262) all_0_14_14 = e1
% 21.78/5.75 |
% 21.78/5.75 | Equations (262) can reduce 521 to:
% 21.78/5.75 | (924) ~ (e2 = e1)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 924 yields:
% 21.78/5.75 | (75) ~ (e2 = e1)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (2231), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (385) all_0_12_12 = e2
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (385,254) yields a new equation:
% 21.78/5.75 | (352) e3 = e2
% 21.78/5.75 |
% 21.78/5.75 | Equations (352) can reduce 111 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (336) ~ (all_0_12_12 = e2)
% 21.78/5.75 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (2235), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (685) all_0_16_16 = e2
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (305,685) yields a new equation:
% 21.78/5.75 | (742) e2 = e1
% 21.78/5.75 |
% 21.78/5.75 | Equations (742) can reduce 75 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (688) ~ (all_0_16_16 = e2)
% 21.78/5.75 | (335) all_0_20_20 = e2
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (335,613) yields a new equation:
% 21.78/5.75 | (499) e2 = e0
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 499 yields:
% 21.78/5.75 | (500) e2 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (500) can reduce 29 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (222) ~ (all_0_14_14 = e1)
% 21.78/5.75 | (529) all_0_14_14 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (529) can reduce 470 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (202) ~ (all_0_9_9 = e3)
% 21.78/5.75 | (7682) all_0_10_10 = e3 | all_0_11_11 = e3
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (7682), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (695) all_0_10_10 = e3
% 21.78/5.75 |
% 21.78/5.75 | Equations (695) can reduce 306 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (306) ~ (all_0_10_10 = e3)
% 21.78/5.75 | (399) all_0_11_11 = e3
% 21.78/5.75 |
% 21.78/5.75 | Equations (399) can reduce 204 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (206) ~ (all_0_12_12 = e3)
% 21.78/5.75 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (17), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (335) all_0_20_20 = e2
% 21.78/5.75 |
% 21.78/5.75 | Combining equations (613,335) yields a new equation:
% 21.78/5.75 | (500) e2 = e0
% 21.78/5.75 |
% 21.78/5.75 | Equations (500) can reduce 29 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (466) ~ (all_0_20_20 = e2)
% 21.78/5.75 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (509), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (510) all_0_21_21 = e2
% 21.78/5.75 |
% 21.78/5.75 | Equations (510) can reduce 514 to:
% 21.78/5.75 | (172) $false
% 21.78/5.75 |
% 21.78/5.75 |-The branch is then unsatisfiable
% 21.78/5.75 |-Branch two:
% 21.78/5.75 | (514) ~ (all_0_21_21 = e2)
% 21.78/5.75 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (515), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (520) all_0_22_22 = e2
% 21.78/5.75 |
% 21.78/5.75 | Equations (520) can reduce 319 to:
% 21.78/5.75 | (345) ~ (e3 = e2)
% 21.78/5.75 |
% 21.78/5.75 | Simplifying 345 yields:
% 21.78/5.75 | (111) ~ (e3 = e2)
% 21.78/5.75 |
% 21.78/5.75 +-Applying beta-rule and splitting (148), into two cases.
% 21.78/5.75 |-Branch one:
% 21.78/5.75 | (389) all_0_12_12 = e1
% 21.78/5.75 |
% 21.78/5.76 | Equations (389) can reduce 307 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (307) ~ (all_0_12_12 = e1)
% 21.78/5.76 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (1399), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (444) all_0_13_13 = e1
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (447,444) yields a new equation:
% 21.78/5.76 | (543) e1 = e0
% 21.78/5.76 |
% 21.78/5.76 | Equations (543) can reduce 157 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (167) ~ (all_0_13_13 = e1)
% 21.78/5.76 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (1715), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (262) all_0_14_14 = e1
% 21.78/5.76 |
% 21.78/5.76 | Equations (262) can reduce 308 to:
% 21.78/5.76 | (313) ~ (e3 = e1)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 313 yields:
% 21.78/5.76 | (163) ~ (e3 = e1)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (165), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (254) all_0_12_12 = e3
% 21.78/5.76 |
% 21.78/5.76 | Equations (254) can reduce 206 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (206) ~ (all_0_12_12 = e3)
% 21.78/5.76 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (714), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (347) all_0_13_13 = e3
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (347,447) yields a new equation:
% 21.78/5.76 | (564) e3 = e0
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 564 yields:
% 21.78/5.76 | (323) e3 = e0
% 21.78/5.76 |
% 21.78/5.76 | Equations (323) can reduce 3 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (337) ~ (all_0_13_13 = e3)
% 21.78/5.76 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (1007), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (516) all_0_14_14 = e3
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (516,262) yields a new equation:
% 21.78/5.76 | (555) e3 = e1
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 555 yields:
% 21.78/5.76 | (556) e3 = e1
% 21.78/5.76 |
% 21.78/5.76 | Equations (556) can reduce 163 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (308) ~ (all_0_14_14 = e3)
% 21.78/5.76 | (726) all_0_15_15 = e3
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (726,752) yields a new equation:
% 21.78/5.76 | (511) e3 = e2
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 511 yields:
% 21.78/5.76 | (352) e3 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (352) can reduce 111 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (222) ~ (all_0_14_14 = e1)
% 21.78/5.76 | (490) all_0_15_15 = e1
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (490,752) yields a new equation:
% 21.78/5.76 | (742) e2 = e1
% 21.78/5.76 |
% 21.78/5.76 | Equations (742) can reduce 75 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (531) ~ (all_0_22_22 = e2)
% 21.78/5.76 | (175) all_0_23_23 = e2
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (175,171) yields a new equation:
% 21.78/5.76 | (352) e3 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (352) can reduce 111 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (344) ~ (all_0_17_17 = e2)
% 21.78/5.76 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (694), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (216) all_0_18_18 = e2
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (212,216) yields a new equation:
% 21.78/5.76 | (511) e3 = e2
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 511 yields:
% 21.78/5.76 | (352) e3 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (352) can reduce 111 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (195) ~ (all_0_18_18 = e2)
% 21.78/5.76 | (342) all_0_19_19 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (342) can reduce 456 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (175) all_0_23_23 = e2
% 21.78/5.76 | (1185) all_0_21_21 = e0
% 21.78/5.76 |
% 21.78/5.76 | Equations (1185) can reduce 74 to:
% 21.78/5.76 | (372) ~ (all_0_9_9 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Equations (175) can reduce 131 to:
% 21.78/5.76 | (343) ~ (all_0_11_11 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (1185) can reduce 104 to:
% 21.78/5.76 | (373) ~ (all_0_13_13 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Equations (1185) can reduce 76 to:
% 21.78/5.76 | (1184) ~ (all_0_17_17 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Equations (175) can reduce 122 to:
% 21.78/5.76 | (456) ~ (all_0_19_19 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (1185) can reduce 7 to:
% 21.78/5.76 | (186) ~ (all_0_20_20 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Equations (175) can reduce 156 to:
% 21.78/5.76 | (466) ~ (all_0_20_20 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (1185) can reduce 150 to:
% 21.78/5.76 | (659) ~ (all_0_22_22 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 659 yields:
% 21.78/5.76 | (188) ~ (all_0_22_22 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Equations (1185,175) can reduce 31 to:
% 21.78/5.76 | (191) ~ (e2 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 191 yields:
% 21.78/5.76 | (29) ~ (e2 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Equations (175) can reduce 39 to:
% 21.78/5.76 | (531) ~ (all_0_22_22 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (175) can reduce 168 to:
% 21.78/5.76 | (75) ~ (e2 = e1)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (73), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (198) ~ (all_0_8_8 = e2)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (127), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (211) ~ (all_0_18_18 = e3)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (82), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (337) ~ (all_0_13_13 = e3)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (102), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (347) all_0_13_13 = e3
% 21.78/5.76 |
% 21.78/5.76 | Equations (347) can reduce 337 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (337) ~ (all_0_13_13 = e3)
% 21.78/5.76 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (377), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (382) all_0_13_13 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (382) can reduce 22 to:
% 21.78/5.76 | (383) ~ (all_0_9_9 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (382) can reduce 93 to:
% 21.78/5.76 | (336) ~ (all_0_12_12 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (382) can reduce 135 to:
% 21.78/5.76 | (724) ~ (all_0_15_15 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 724 yields:
% 21.78/5.76 | (725) ~ (all_0_15_15 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (382) can reduce 337 to:
% 21.78/5.76 | (345) ~ (e3 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 345 yields:
% 21.78/5.76 | (111) ~ (e3 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (382) can reduce 167 to:
% 21.78/5.76 | (75) ~ (e2 = e1)
% 21.78/5.76 |
% 21.78/5.76 | Equations (382) can reduce 373 to:
% 21.78/5.76 | (29) ~ (e2 = e0)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (16), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (492) all_0_8_8 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (492) can reduce 198 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (198) ~ (all_0_8_8 = e2)
% 21.78/5.76 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (66), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (492) all_0_8_8 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (492) can reduce 198 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (198) ~ (all_0_8_8 = e2)
% 21.78/5.76 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (2231), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (385) all_0_12_12 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (385) can reduce 336 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (336) ~ (all_0_12_12 = e2)
% 21.78/5.76 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (2235), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (685) all_0_16_16 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (685) can reduce 45 to:
% 21.78/5.76 | (336) ~ (all_0_12_12 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (685) can reduce 144 to:
% 21.78/5.76 | (2237) ~ (all_0_17_17 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 2237 yields:
% 21.78/5.76 | (344) ~ (all_0_17_17 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (685) can reduce 138 to:
% 21.78/5.76 | (4783) ~ (all_0_19_19 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 4783 yields:
% 21.78/5.76 | (456) ~ (all_0_19_19 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (685) can reduce 101 to:
% 21.78/5.76 | (1813) ~ (all_0_20_20 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 1813 yields:
% 21.78/5.76 | (466) ~ (all_0_20_20 = e2)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (496), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (235) all_0_9_9 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (235) can reduce 383 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (383) ~ (all_0_9_9 = e2)
% 21.78/5.76 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (68), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (730) all_0_10_10 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (730) can reduce 24 to:
% 21.78/5.76 | (198) ~ (all_0_8_8 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (730) can reduce 166 to:
% 21.78/5.76 | (383) ~ (all_0_9_9 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (730) can reduce 23 to:
% 21.78/5.76 | (1210) ~ (all_0_11_11 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 1210 yields:
% 21.78/5.76 | (343) ~ (all_0_11_11 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (730) can reduce 40 to:
% 21.78/5.76 | (6400) ~ (all_0_14_14 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 6400 yields:
% 21.78/5.76 | (521) ~ (all_0_14_14 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (730) can reduce 51 to:
% 21.78/5.76 | (732) ~ (all_0_18_18 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 732 yields:
% 21.78/5.76 | (195) ~ (all_0_18_18 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (730) can reduce 72 to:
% 21.78/5.76 | (2581) ~ (all_0_22_22 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 2581 yields:
% 21.78/5.76 | (531) ~ (all_0_22_22 = e2)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (20), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (196) ~ (all_0_8_8 = e1)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (64), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (199) ~ (all_0_8_8 = e0)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (26), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (200) all_0_8_8 = e3
% 21.78/5.76 |
% 21.78/5.76 | Equations (200) can reduce 116 to:
% 21.78/5.76 | (201) ~ (all_0_9_9 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 201 yields:
% 21.78/5.76 | (202) ~ (all_0_9_9 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Equations (200) can reduce 124 to:
% 21.78/5.76 | (203) ~ (all_0_11_11 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 203 yields:
% 21.78/5.76 | (204) ~ (all_0_11_11 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Equations (200) can reduce 158 to:
% 21.78/5.76 | (205) ~ (all_0_12_12 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 205 yields:
% 21.78/5.76 | (206) ~ (all_0_12_12 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Equations (200) can reduce 125 to:
% 21.78/5.76 | (209) ~ (all_0_20_20 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 209 yields:
% 21.78/5.76 | (210) ~ (all_0_20_20 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Equations (200) can reduce 198 to:
% 21.78/5.76 | (111) ~ (e3 = e2)
% 21.78/5.76 |
% 21.78/5.76 | Equations (200) can reduce 196 to:
% 21.78/5.76 | (163) ~ (e3 = e1)
% 21.78/5.76 |
% 21.78/5.76 | Equations (200) can reduce 199 to:
% 21.78/5.76 | (3) ~ (e3 = e0)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (63), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (322) all_0_8_8 = e0
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (322,200) yields a new equation:
% 21.78/5.76 | (323) e3 = e0
% 21.78/5.76 |
% 21.78/5.76 | Equations (323) can reduce 3 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (199) ~ (all_0_8_8 = e0)
% 21.78/5.76 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 21.78/5.76 |
% 21.78/5.76 | Equations (200) can reduce 199 to:
% 21.78/5.76 | (3) ~ (e3 = e0)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (69), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (338) all_0_9_9 = e3
% 21.78/5.76 |
% 21.78/5.76 | Equations (338) can reduce 202 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (202) ~ (all_0_9_9 = e3)
% 21.78/5.76 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (91), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (322) all_0_8_8 = e0
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (322,200) yields a new equation:
% 21.78/5.76 | (323) e3 = e0
% 21.78/5.76 |
% 21.78/5.76 | Equations (323) can reduce 3 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (199) ~ (all_0_8_8 = e0)
% 21.78/5.76 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (151), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (338) all_0_9_9 = e3
% 21.78/5.76 |
% 21.78/5.76 | Equations (338) can reduce 202 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (202) ~ (all_0_9_9 = e3)
% 21.78/5.76 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (341), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (347) all_0_13_13 = e3
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (382,347) yields a new equation:
% 21.78/5.76 | (352) e3 = e2
% 21.78/5.76 |
% 21.78/5.76 | Equations (352) can reduce 111 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (337) ~ (all_0_13_13 = e3)
% 21.78/5.76 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (432), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (424) all_0_9_9 = e0
% 21.78/5.76 |
% 21.78/5.76 | Equations (424) can reduce 372 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (372) ~ (all_0_9_9 = e0)
% 21.78/5.76 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (326), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (392) all_0_12_12 = e0
% 21.78/5.76 |
% 21.78/5.76 | Equations (392) can reduce 42 to:
% 21.78/5.76 | (634) ~ (all_0_20_20 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 634 yields:
% 21.78/5.76 | (186) ~ (all_0_20_20 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Equations (392) can reduce 206 to:
% 21.78/5.76 | (189) ~ (e3 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 189 yields:
% 21.78/5.76 | (3) ~ (e3 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Equations (392) can reduce 336 to:
% 21.78/5.76 | (191) ~ (e2 = e0)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 191 yields:
% 21.78/5.76 | (29) ~ (e2 = e0)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (350), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (360) all_0_17_17 = e3
% 21.78/5.76 |
% 21.78/5.76 | Equations (360) can reduce 80 to:
% 21.78/5.76 | (680) ~ (all_0_18_18 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 680 yields:
% 21.78/5.76 | (211) ~ (all_0_18_18 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Equations (360) can reduce 10 to:
% 21.78/5.76 | (316) ~ (all_0_19_19 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 316 yields:
% 21.78/5.76 | (317) ~ (all_0_19_19 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Equations (360) can reduce 344 to:
% 21.78/5.76 | (111) ~ (e3 = e2)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (65), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (399) all_0_11_11 = e3
% 21.78/5.76 |
% 21.78/5.76 | Equations (399) can reduce 204 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (204) ~ (all_0_11_11 = e3)
% 21.78/5.76 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (146), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (621) all_0_8_8 = e1
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (621,200) yields a new equation:
% 21.78/5.76 | (556) e3 = e1
% 21.78/5.76 |
% 21.78/5.76 | Equations (556) can reduce 163 to:
% 21.78/5.76 | (172) $false
% 21.78/5.76 |
% 21.78/5.76 |-The branch is then unsatisfiable
% 21.78/5.76 |-Branch two:
% 21.78/5.76 | (196) ~ (all_0_8_8 = e1)
% 21.78/5.76 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 21.78/5.76 |
% 21.78/5.76 | Equations (200) can reduce 196 to:
% 21.78/5.76 | (163) ~ (e3 = e1)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (1358), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (726) all_0_15_15 = e3
% 21.78/5.76 |
% 21.78/5.76 | Equations (726) can reduce 89 to:
% 21.78/5.76 | (316) ~ (all_0_19_19 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Simplifying 316 yields:
% 21.78/5.76 | (317) ~ (all_0_19_19 = e3)
% 21.78/5.76 |
% 21.78/5.76 | Equations (726) can reduce 725 to:
% 21.78/5.76 | (111) ~ (e3 = e2)
% 21.78/5.76 |
% 21.78/5.76 +-Applying beta-rule and splitting (148), into two cases.
% 21.78/5.76 |-Branch one:
% 21.78/5.76 | (389) all_0_12_12 = e1
% 21.78/5.76 |
% 21.78/5.76 | Combining equations (389,392) yields a new equation:
% 21.78/5.77 | (542) e1 = e0
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 542 yields:
% 21.78/5.77 | (543) e1 = e0
% 21.78/5.77 |
% 21.78/5.77 | Equations (543) can reduce 157 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (307) ~ (all_0_12_12 = e1)
% 21.78/5.77 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (1399), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (444) all_0_13_13 = e1
% 21.78/5.77 |
% 21.78/5.77 | Combining equations (382,444) yields a new equation:
% 21.78/5.77 | (966) e2 = e1
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 966 yields:
% 21.78/5.77 | (742) e2 = e1
% 21.78/5.77 |
% 21.78/5.77 | Equations (742) can reduce 75 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (167) ~ (all_0_13_13 = e1)
% 21.78/5.77 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (1715), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (262) all_0_14_14 = e1
% 21.78/5.77 |
% 21.78/5.77 | Equations (262) can reduce 81 to:
% 21.78/5.77 | (7898) ~ (all_0_18_18 = e1)
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 7898 yields:
% 21.78/5.77 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (436), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (395) all_0_10_10 = e0
% 21.78/5.77 |
% 21.78/5.77 | Combining equations (395,730) yields a new equation:
% 21.78/5.77 | (500) e2 = e0
% 21.78/5.77 |
% 21.78/5.77 | Equations (500) can reduce 29 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (426) ~ (all_0_10_10 = e0)
% 21.78/5.77 | (247) all_0_11_11 = e0
% 21.78/5.77 |
% 21.78/5.77 | Equations (247) can reduce 54 to:
% 21.78/5.77 | (372) ~ (all_0_9_9 = e0)
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (27), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (695) all_0_10_10 = e3
% 21.78/5.77 |
% 21.78/5.77 | Combining equations (695,730) yields a new equation:
% 21.78/5.77 | (511) e3 = e2
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 511 yields:
% 21.78/5.77 | (352) e3 = e2
% 21.78/5.77 |
% 21.78/5.77 | Equations (352) can reduce 111 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (306) ~ (all_0_10_10 = e3)
% 21.78/5.77 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 21.78/5.77 |
% 21.78/5.77 | Equations (730) can reduce 306 to:
% 21.78/5.77 | (345) ~ (e3 = e2)
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 345 yields:
% 21.78/5.77 | (111) ~ (e3 = e2)
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (33), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (212) all_0_18_18 = e3
% 21.78/5.77 |
% 21.78/5.77 | Equations (212) can reduce 211 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (211) ~ (all_0_18_18 = e3)
% 21.78/5.77 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (215), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (216) all_0_18_18 = e2
% 21.78/5.77 |
% 21.78/5.77 | Equations (216) can reduce 195 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (195) ~ (all_0_18_18 = e2)
% 21.78/5.77 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (219), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (220) all_0_18_18 = e1
% 21.78/5.77 |
% 21.78/5.77 | Equations (220) can reduce 275 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.77 | (302) all_0_18_18 = e0
% 21.78/5.77 |
% 21.78/5.77 | Equations (302) can reduce 43 to:
% 21.78/5.77 | (675) ~ (all_0_19_19 = e0)
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 675 yields:
% 21.78/5.77 | (185) ~ (all_0_19_19 = e0)
% 21.78/5.77 |
% 21.78/5.77 | Equations (302) can reduce 119 to:
% 21.78/5.77 | (659) ~ (all_0_22_22 = e0)
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 659 yields:
% 21.78/5.77 | (188) ~ (all_0_22_22 = e0)
% 21.78/5.77 |
% 21.78/5.77 | Equations (302) can reduce 211 to:
% 21.78/5.77 | (189) ~ (e3 = e0)
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 189 yields:
% 21.78/5.77 | (3) ~ (e3 = e0)
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (94), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (197) ~ (all_0_18_18 = e0)
% 21.78/5.77 |
% 21.78/5.77 | Equations (302) can reduce 197 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (302) all_0_18_18 = e0
% 21.78/5.77 | (458) all_0_19_19 = e1
% 21.78/5.77 |
% 21.78/5.77 | Equations (458) can reduce 317 to:
% 21.78/5.77 | (313) ~ (e3 = e1)
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 313 yields:
% 21.78/5.77 | (163) ~ (e3 = e1)
% 21.78/5.77 |
% 21.78/5.77 | Equations (458) can reduce 456 to:
% 21.78/5.77 | (924) ~ (e2 = e1)
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 924 yields:
% 21.78/5.77 | (75) ~ (e2 = e1)
% 21.78/5.77 |
% 21.78/5.77 | Equations (458) can reduce 185 to:
% 21.78/5.77 | (157) ~ (e1 = e0)
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (21), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (411) all_0_9_9 = e1
% 21.78/5.77 |
% 21.78/5.77 | Equations (411) can reduce 383 to:
% 21.78/5.77 | (924) ~ (e2 = e1)
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 924 yields:
% 21.78/5.77 | (75) ~ (e2 = e1)
% 21.78/5.77 |
% 21.78/5.77 | Equations (411) can reduce 372 to:
% 21.78/5.77 | (157) ~ (e1 = e0)
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (107), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (327) all_0_20_20 = e3
% 21.78/5.77 |
% 21.78/5.77 | Equations (327) can reduce 210 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (210) ~ (all_0_20_20 = e3)
% 21.78/5.77 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (355), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (356) all_0_21_21 = e3
% 21.78/5.77 |
% 21.78/5.77 | Combining equations (1185,356) yields a new equation:
% 21.78/5.77 | (323) e3 = e0
% 21.78/5.77 |
% 21.78/5.77 | Equations (323) can reduce 3 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (449) ~ (all_0_21_21 = e3)
% 21.78/5.77 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (450), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (560) all_0_22_22 = e3
% 21.78/5.77 |
% 21.78/5.77 | Equations (560) can reduce 531 to:
% 21.78/5.77 | (111) ~ (e3 = e2)
% 21.78/5.77 |
% 21.78/5.77 | Equations (560) can reduce 188 to:
% 21.78/5.77 | (3) ~ (e3 = e0)
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (128), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (952) all_0_20_20 = e1
% 21.78/5.77 |
% 21.78/5.77 | Equations (952) can reduce 466 to:
% 21.78/5.77 | (924) ~ (e2 = e1)
% 21.78/5.77 |
% 21.78/5.77 | Simplifying 924 yields:
% 21.78/5.77 | (75) ~ (e2 = e1)
% 21.78/5.77 |
% 21.78/5.77 | Equations (952) can reduce 186 to:
% 21.78/5.77 | (157) ~ (e1 = e0)
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (99), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (223), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (224), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (225), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (226), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (227), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (228), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (229), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.78/5.77 |
% 21.78/5.77 +-Applying beta-rule and splitting (230), into two cases.
% 21.78/5.77 |-Branch one:
% 21.78/5.77 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.78/5.77 |
% 21.78/5.77 | Applying alpha-rule on (231) yields:
% 21.78/5.77 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.77 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.78/5.77 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.78/5.77 | (235) all_0_9_9 = e2
% 21.78/5.77 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.78/5.77 |
% 21.78/5.77 | Combining equations (411,235) yields a new equation:
% 21.78/5.77 | (742) e2 = e1
% 21.78/5.77 |
% 21.78/5.77 | Equations (742) can reduce 75 to:
% 21.78/5.77 | (172) $false
% 21.78/5.77 |
% 21.78/5.77 |-The branch is then unsatisfiable
% 21.78/5.77 |-Branch two:
% 21.78/5.77 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.78/5.77 |
% 21.78/5.77 | Applying alpha-rule on (238) yields:
% 21.78/5.77 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.78 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.78/5.78 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.78/5.78 | (242) all_0_10_10 = e1
% 21.78/5.78 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (242,730) yields a new equation:
% 21.78/5.78 | (742) e2 = e1
% 21.78/5.78 |
% 21.78/5.78 | Equations (742) can reduce 75 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.78/5.78 |
% 21.78/5.78 | Applying alpha-rule on (245) yields:
% 21.78/5.78 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.78 | (247) all_0_11_11 = e0
% 21.78/5.78 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.78/5.78 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.78/5.78 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.78/5.78 |
% 21.78/5.78 | Equations (200) can reduce 232 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.78/5.78 |
% 21.78/5.78 | Applying alpha-rule on (252) yields:
% 21.78/5.78 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.78 | (254) all_0_12_12 = e3
% 21.78/5.78 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.78/5.78 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.78/5.78 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (392,254) yields a new equation:
% 21.78/5.78 | (323) e3 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (323) can reduce 3 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.78/5.78 |
% 21.78/5.78 | Applying alpha-rule on (259) yields:
% 21.78/5.78 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.78 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.78/5.78 | (262) all_0_14_14 = e1
% 21.78/5.78 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.78/5.78 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.78/5.78 |
% 21.78/5.78 | Equations (382) can reduce 253 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.78/5.78 |
% 21.78/5.78 | Applying alpha-rule on (266) yields:
% 21.78/5.78 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.78 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.78/5.78 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.78/5.78 | (270) all_0_15_15 = e0
% 21.78/5.78 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (726,270) yields a new equation:
% 21.78/5.78 | (564) e3 = e0
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 564 yields:
% 21.78/5.78 | (323) e3 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (323) can reduce 3 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.78/5.78 |
% 21.78/5.78 | Applying alpha-rule on (273) yields:
% 21.78/5.78 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.78/5.78 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.78 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.78/5.78 | (277) all_0_16_16 = e3
% 21.78/5.78 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (685,277) yields a new equation:
% 21.78/5.78 | (352) e3 = e2
% 21.78/5.78 |
% 21.78/5.78 | Equations (352) can reduce 111 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.78/5.78 |
% 21.78/5.78 | Applying alpha-rule on (280) yields:
% 21.78/5.78 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.78/5.78 | (282) all_0_17_17 = e2
% 21.78/5.78 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.78 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.78/5.78 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (360,282) yields a new equation:
% 21.78/5.78 | (511) e3 = e2
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 511 yields:
% 21.78/5.78 | (352) e3 = e2
% 21.78/5.78 |
% 21.78/5.78 | Equations (352) can reduce 111 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.78/5.78 |
% 21.78/5.78 | Applying alpha-rule on (287) yields:
% 21.78/5.78 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.78/5.78 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.78 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.78/5.78 | (291) all_0_19_19 = e0
% 21.78/5.78 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (458,291) yields a new equation:
% 21.78/5.78 | (542) e1 = e0
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 542 yields:
% 21.78/5.78 | (543) e1 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (543) can reduce 157 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.78/5.78 |
% 21.78/5.78 | Applying alpha-rule on (294) yields:
% 21.78/5.78 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.78/5.78 | (296) ~ (all_0_23_23 = e0)
% 21.78/5.78 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.78/5.78 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.78/5.78 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (297), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (312) ~ (all_0_19_19 = e1)
% 21.78/5.78 |
% 21.78/5.78 | Equations (458) can reduce 312 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (458) all_0_19_19 = e1
% 21.78/5.78 | (197) ~ (all_0_18_18 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Equations (302) can reduce 197 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (963) ~ (all_0_20_20 = e1)
% 21.78/5.78 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (778), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (389) all_0_12_12 = e1
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (392,389) yields a new equation:
% 21.78/5.78 | (543) e1 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (543) can reduce 157 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (307) ~ (all_0_12_12 = e1)
% 21.78/5.78 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (2268), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (305) all_0_16_16 = e1
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (685,305) yields a new equation:
% 21.78/5.78 | (966) e2 = e1
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 966 yields:
% 21.78/5.78 | (742) e2 = e1
% 21.78/5.78 |
% 21.78/5.78 | Equations (742) can reduce 75 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (770) ~ (all_0_16_16 = e1)
% 21.78/5.78 | (952) all_0_20_20 = e1
% 21.78/5.78 |
% 21.78/5.78 | Equations (952) can reduce 963 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (319) ~ (all_0_22_22 = e3)
% 21.78/5.78 | (171) all_0_23_23 = e3
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (171,175) yields a new equation:
% 21.78/5.78 | (511) e3 = e2
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 511 yields:
% 21.78/5.78 | (352) e3 = e2
% 21.78/5.78 |
% 21.78/5.78 | Equations (352) can reduce 111 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (423) ~ (all_0_9_9 = e1)
% 21.78/5.78 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (546), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (444) all_0_13_13 = e1
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (444,382) yields a new equation:
% 21.78/5.78 | (742) e2 = e1
% 21.78/5.78 |
% 21.78/5.78 | Equations (742) can reduce 75 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (167) ~ (all_0_13_13 = e1)
% 21.78/5.78 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (550), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (368) all_0_17_17 = e1
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (360,368) yields a new equation:
% 21.78/5.78 | (555) e3 = e1
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 555 yields:
% 21.78/5.78 | (556) e3 = e1
% 21.78/5.78 |
% 21.78/5.78 | Equations (556) can reduce 163 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (310) ~ (all_0_17_17 = e1)
% 21.78/5.78 | (554) all_0_21_21 = e1
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (1185,554) yields a new equation:
% 21.78/5.78 | (543) e1 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (543) can reduce 157 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (222) ~ (all_0_14_14 = e1)
% 21.78/5.78 | (490) all_0_15_15 = e1
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (726,490) yields a new equation:
% 21.78/5.78 | (555) e3 = e1
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 555 yields:
% 21.78/5.78 | (556) e3 = e1
% 21.78/5.78 |
% 21.78/5.78 | Equations (556) can reduce 163 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (642) ~ (all_0_15_15 = e3)
% 21.78/5.78 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (436), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (395) all_0_10_10 = e0
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (730,395) yields a new equation:
% 21.78/5.78 | (499) e2 = e0
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 499 yields:
% 21.78/5.78 | (500) e2 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (500) can reduce 29 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (426) ~ (all_0_10_10 = e0)
% 21.78/5.78 | (247) all_0_11_11 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (247) can reduce 129 to:
% 21.78/5.78 | (657) ~ (all_0_15_15 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 657 yields:
% 21.78/5.78 | (184) ~ (all_0_15_15 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Equations (247) can reduce 132 to:
% 21.78/5.78 | (675) ~ (all_0_19_19 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 675 yields:
% 21.78/5.78 | (185) ~ (all_0_19_19 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Equations (247) can reduce 204 to:
% 21.78/5.78 | (189) ~ (e3 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 189 yields:
% 21.78/5.78 | (3) ~ (e3 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Equations (247) can reduce 343 to:
% 21.78/5.78 | (191) ~ (e2 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 191 yields:
% 21.78/5.78 | (29) ~ (e2 = e0)
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (52), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (331) all_0_19_19 = e3
% 21.78/5.78 |
% 21.78/5.78 | Equations (331) can reduce 317 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (317) ~ (all_0_19_19 = e3)
% 21.78/5.78 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (117), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (608) all_0_16_16 = e0
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (685,608) yields a new equation:
% 21.78/5.78 | (499) e2 = e0
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 499 yields:
% 21.78/5.78 | (500) e2 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (500) can reduce 29 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (612) ~ (all_0_16_16 = e0)
% 21.78/5.78 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (334), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (342) all_0_19_19 = e2
% 21.78/5.78 |
% 21.78/5.78 | Equations (342) can reduce 456 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (456) ~ (all_0_19_19 = e2)
% 21.78/5.78 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (653), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (371) all_0_17_17 = e0
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (371,360) yields a new equation:
% 21.78/5.78 | (323) e3 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (323) can reduce 3 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (1184) ~ (all_0_17_17 = e0)
% 21.78/5.78 | (1198) all_0_18_18 = e0 | all_0_19_19 = e0
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (457), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (458) all_0_19_19 = e1
% 21.78/5.78 |
% 21.78/5.78 | Equations (458) can reduce 185 to:
% 21.78/5.78 | (157) ~ (e1 = e0)
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (1198), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (302) all_0_18_18 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (302) can reduce 81 to:
% 21.78/5.78 | (470) ~ (all_0_14_14 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Equations (302) can reduce 211 to:
% 21.78/5.78 | (189) ~ (e3 = e0)
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 189 yields:
% 21.78/5.78 | (3) ~ (e3 = e0)
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (107), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (327) all_0_20_20 = e3
% 21.78/5.78 |
% 21.78/5.78 | Equations (327) can reduce 210 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (210) ~ (all_0_20_20 = e3)
% 21.78/5.78 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (355), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (356) all_0_21_21 = e3
% 21.78/5.78 |
% 21.78/5.78 | Combining equations (356,1185) yields a new equation:
% 21.78/5.78 | (564) e3 = e0
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 564 yields:
% 21.78/5.78 | (323) e3 = e0
% 21.78/5.78 |
% 21.78/5.78 | Equations (323) can reduce 3 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (449) ~ (all_0_21_21 = e3)
% 21.78/5.78 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (450), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (560) all_0_22_22 = e3
% 21.78/5.78 |
% 21.78/5.78 | Equations (560) can reduce 160 to:
% 21.78/5.78 | (308) ~ (all_0_14_14 = e3)
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (134), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (516) all_0_14_14 = e3
% 21.78/5.78 |
% 21.78/5.78 | Equations (516) can reduce 308 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (308) ~ (all_0_14_14 = e3)
% 21.78/5.78 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (519), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (522) all_0_14_14 = e2
% 21.78/5.78 |
% 21.78/5.78 | Equations (522) can reduce 521 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (521) ~ (all_0_14_14 = e2)
% 21.78/5.78 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (525), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (262) all_0_14_14 = e1
% 21.78/5.78 |
% 21.78/5.78 | Equations (262) can reduce 71 to:
% 21.78/5.78 | (4601) ~ (all_0_15_15 = e1)
% 21.78/5.78 |
% 21.78/5.78 | Simplifying 4601 yields:
% 21.78/5.78 | (536) ~ (all_0_15_15 = e1)
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (139), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (726) all_0_15_15 = e3
% 21.78/5.78 |
% 21.78/5.78 | Equations (726) can reduce 642 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (642) ~ (all_0_15_15 = e3)
% 21.78/5.78 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (729), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (752) all_0_15_15 = e2
% 21.78/5.78 |
% 21.78/5.78 | Equations (752) can reduce 725 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.78 | (725) ~ (all_0_15_15 = e2)
% 21.78/5.78 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 21.78/5.78 |
% 21.78/5.78 +-Applying beta-rule and splitting (755), into two cases.
% 21.78/5.78 |-Branch one:
% 21.78/5.78 | (490) all_0_15_15 = e1
% 21.78/5.78 |
% 21.78/5.78 | Equations (490) can reduce 536 to:
% 21.78/5.78 | (172) $false
% 21.78/5.78 |
% 21.78/5.78 |-The branch is then unsatisfiable
% 21.78/5.78 |-Branch two:
% 21.78/5.79 | (536) ~ (all_0_15_15 = e1)
% 21.78/5.79 | (270) all_0_15_15 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (270) can reduce 184 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (222) ~ (all_0_14_14 = e1)
% 21.78/5.79 | (529) all_0_14_14 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (529) can reduce 470 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (319) ~ (all_0_22_22 = e3)
% 21.78/5.79 | (171) all_0_23_23 = e3
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (175,171) yields a new equation:
% 21.78/5.79 | (352) e3 = e2
% 21.78/5.79 |
% 21.78/5.79 | Equations (352) can reduce 111 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (197) ~ (all_0_18_18 = e0)
% 21.78/5.79 | (291) all_0_19_19 = e0
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (291,458) yields a new equation:
% 21.78/5.79 | (543) e1 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (543) can reduce 157 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (312) ~ (all_0_19_19 = e1)
% 21.78/5.79 | (291) all_0_19_19 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (291) can reduce 185 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (315) ~ (all_0_17_17 = e3)
% 21.78/5.79 | (356) all_0_21_21 = e3
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (1185,356) yields a new equation:
% 21.78/5.79 | (323) e3 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (323) can reduce 3 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (606) ~ (all_0_12_12 = e0)
% 21.78/5.79 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (436), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (395) all_0_10_10 = e0
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (730,395) yields a new equation:
% 21.78/5.79 | (499) e2 = e0
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 499 yields:
% 21.78/5.79 | (500) e2 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (500) can reduce 29 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (426) ~ (all_0_10_10 = e0)
% 21.78/5.79 | (247) all_0_11_11 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (247) can reduce 343 to:
% 21.78/5.79 | (191) ~ (e2 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 191 yields:
% 21.78/5.79 | (29) ~ (e2 = e0)
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (607), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (608) all_0_16_16 = e0
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (685,608) yields a new equation:
% 21.78/5.79 | (499) e2 = e0
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 499 yields:
% 21.78/5.79 | (500) e2 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (500) can reduce 29 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (612) ~ (all_0_16_16 = e0)
% 21.78/5.79 | (613) all_0_20_20 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (613) can reduce 186 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.79 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (63), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (322) all_0_8_8 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (322) can reduce 199 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (199) ~ (all_0_8_8 = e0)
% 21.78/5.79 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (91), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (322) all_0_8_8 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (322) can reduce 199 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (199) ~ (all_0_8_8 = e0)
% 21.78/5.79 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (326), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (392) all_0_12_12 = e0
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (149), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (200) all_0_8_8 = e3
% 21.78/5.79 |
% 21.78/5.79 | Equations (200) can reduce 232 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.79 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (1829), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (254) all_0_12_12 = e3
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (392,254) yields a new equation:
% 21.78/5.79 | (323) e3 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (323) can reduce 3 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (206) ~ (all_0_12_12 = e3)
% 21.78/5.79 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (2092), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (277) all_0_16_16 = e3
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (277,685) yields a new equation:
% 21.78/5.79 | (511) e3 = e2
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 511 yields:
% 21.78/5.79 | (352) e3 = e2
% 21.78/5.79 |
% 21.78/5.79 | Equations (352) can reduce 111 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (208) ~ (all_0_16_16 = e3)
% 21.78/5.79 | (327) all_0_20_20 = e3
% 21.78/5.79 |
% 21.78/5.79 | Equations (327) can reduce 14 to:
% 21.78/5.79 | (318) ~ (all_0_22_22 = e3)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 318 yields:
% 21.78/5.79 | (319) ~ (all_0_22_22 = e3)
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (143), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (560) all_0_22_22 = e3
% 21.78/5.79 |
% 21.78/5.79 | Equations (560) can reduce 319 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (319) ~ (all_0_22_22 = e3)
% 21.78/5.79 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (128), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (952) all_0_20_20 = e1
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (327,952) yields a new equation:
% 21.78/5.79 | (555) e3 = e1
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 555 yields:
% 21.78/5.79 | (556) e3 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (556) can reduce 163 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (963) ~ (all_0_20_20 = e1)
% 21.78/5.79 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (964), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (554) all_0_21_21 = e1
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (1185,554) yields a new equation:
% 21.78/5.79 | (543) e1 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (543) can reduce 157 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (969) ~ (all_0_21_21 = e1)
% 21.78/5.79 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (970), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (864) all_0_22_22 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (864) can reduce 119 to:
% 21.78/5.79 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.79 |
% 21.78/5.79 | Equations (864) can reduce 319 to:
% 21.78/5.79 | (313) ~ (e3 = e1)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 313 yields:
% 21.78/5.79 | (163) ~ (e3 = e1)
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (33), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (212) all_0_18_18 = e3
% 21.78/5.79 |
% 21.78/5.79 | Equations (212) can reduce 211 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (211) ~ (all_0_18_18 = e3)
% 21.78/5.79 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (215), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (216) all_0_18_18 = e2
% 21.78/5.79 |
% 21.78/5.79 | Equations (216) can reduce 195 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (195) ~ (all_0_18_18 = e2)
% 21.78/5.79 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (219), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (220) all_0_18_18 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (220) can reduce 275 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.79 | (302) all_0_18_18 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (302) can reduce 43 to:
% 21.78/5.79 | (675) ~ (all_0_19_19 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 675 yields:
% 21.78/5.79 | (185) ~ (all_0_19_19 = e0)
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (94), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (197) ~ (all_0_18_18 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Equations (302) can reduce 197 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (302) all_0_18_18 = e0
% 21.78/5.79 | (458) all_0_19_19 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (458) can reduce 456 to:
% 21.78/5.79 | (924) ~ (e2 = e1)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 924 yields:
% 21.78/5.79 | (75) ~ (e2 = e1)
% 21.78/5.79 |
% 21.78/5.79 | Equations (458) can reduce 185 to:
% 21.78/5.79 | (157) ~ (e1 = e0)
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (47), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (621) all_0_8_8 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (621) can reduce 196 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (196) ~ (all_0_8_8 = e1)
% 21.78/5.79 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (146), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (621) all_0_8_8 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (621) can reduce 196 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (196) ~ (all_0_8_8 = e1)
% 21.78/5.79 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (148), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (389) all_0_12_12 = e1
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (389,392) yields a new equation:
% 21.78/5.79 | (542) e1 = e0
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 542 yields:
% 21.78/5.79 | (543) e1 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (543) can reduce 157 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (307) ~ (all_0_12_12 = e1)
% 21.78/5.79 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (392) can reduce 307 to:
% 21.78/5.79 | (193) ~ (e1 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 193 yields:
% 21.78/5.79 | (157) ~ (e1 = e0)
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (778), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (389) all_0_12_12 = e1
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (389,392) yields a new equation:
% 21.78/5.79 | (542) e1 = e0
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 542 yields:
% 21.78/5.79 | (543) e1 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (543) can reduce 157 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (307) ~ (all_0_12_12 = e1)
% 21.78/5.79 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (2268), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (305) all_0_16_16 = e1
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (685,305) yields a new equation:
% 21.78/5.79 | (966) e2 = e1
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 966 yields:
% 21.78/5.79 | (742) e2 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (742) can reduce 75 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (770) ~ (all_0_16_16 = e1)
% 21.78/5.79 | (952) all_0_20_20 = e1
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (327,952) yields a new equation:
% 21.78/5.79 | (555) e3 = e1
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 555 yields:
% 21.78/5.79 | (556) e3 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (556) can reduce 163 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (975) ~ (all_0_22_22 = e1)
% 21.78/5.79 | (179) all_0_23_23 = e1
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (179,175) yields a new equation:
% 21.78/5.79 | (742) e2 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (742) can reduce 75 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (606) ~ (all_0_12_12 = e0)
% 21.78/5.79 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (607), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (608) all_0_16_16 = e0
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (685,608) yields a new equation:
% 21.78/5.79 | (499) e2 = e0
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 499 yields:
% 21.78/5.79 | (500) e2 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (500) can reduce 29 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (612) ~ (all_0_16_16 = e0)
% 21.78/5.79 | (613) all_0_20_20 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (613) can reduce 186 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (322) all_0_8_8 = e0
% 21.78/5.79 | (399) all_0_11_11 = e3
% 21.78/5.79 |
% 21.78/5.79 | Equations (322) can reduce 116 to:
% 21.78/5.79 | (628) ~ (all_0_9_9 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 628 yields:
% 21.78/5.79 | (372) ~ (all_0_9_9 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Equations (322) can reduce 158 to:
% 21.78/5.79 | (1740) ~ (all_0_12_12 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 1740 yields:
% 21.78/5.79 | (606) ~ (all_0_12_12 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Equations (322) can reduce 125 to:
% 21.78/5.79 | (634) ~ (all_0_20_20 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 634 yields:
% 21.78/5.79 | (186) ~ (all_0_20_20 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Equations (322) can reduce 196 to:
% 21.78/5.79 | (193) ~ (e1 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 193 yields:
% 21.78/5.79 | (157) ~ (e1 = e0)
% 21.78/5.79 |
% 21.78/5.79 | Equations (399) can reduce 129 to:
% 21.78/5.79 | (641) ~ (all_0_15_15 = e3)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 641 yields:
% 21.78/5.79 | (642) ~ (all_0_15_15 = e3)
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (47), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (621) all_0_8_8 = e1
% 21.78/5.79 |
% 21.78/5.79 | Combining equations (621,322) yields a new equation:
% 21.78/5.79 | (542) e1 = e0
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 542 yields:
% 21.78/5.79 | (543) e1 = e0
% 21.78/5.79 |
% 21.78/5.79 | Equations (543) can reduce 157 to:
% 21.78/5.79 | (172) $false
% 21.78/5.79 |
% 21.78/5.79 |-The branch is then unsatisfiable
% 21.78/5.79 |-Branch two:
% 21.78/5.79 | (196) ~ (all_0_8_8 = e1)
% 21.78/5.79 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (751), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (411) all_0_9_9 = e1
% 21.78/5.79 |
% 21.78/5.79 | Equations (411) can reduce 136 to:
% 21.78/5.79 | (309) ~ (all_0_17_17 = e1)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 309 yields:
% 21.78/5.79 | (310) ~ (all_0_17_17 = e1)
% 21.78/5.79 |
% 21.78/5.79 | Equations (411) can reduce 383 to:
% 21.78/5.79 | (924) ~ (e2 = e1)
% 21.78/5.79 |
% 21.78/5.79 | Simplifying 924 yields:
% 21.78/5.79 | (75) ~ (e2 = e1)
% 21.78/5.79 |
% 21.78/5.79 | Equations (411) can reduce 372 to:
% 21.78/5.79 | (157) ~ (e1 = e0)
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (133), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (360) all_0_17_17 = e3
% 21.78/5.79 |
% 21.78/5.79 | Equations (360) can reduce 344 to:
% 21.78/5.79 | (111) ~ (e3 = e2)
% 21.78/5.79 |
% 21.78/5.79 | Equations (360) can reduce 310 to:
% 21.78/5.79 | (163) ~ (e3 = e1)
% 21.78/5.79 |
% 21.78/5.79 | Equations (360) can reduce 1184 to:
% 21.78/5.79 | (3) ~ (e3 = e0)
% 21.78/5.79 |
% 21.78/5.79 +-Applying beta-rule and splitting (99), into two cases.
% 21.78/5.79 |-Branch one:
% 21.78/5.79 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (223), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (224), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (225), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (226), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (227), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (228), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (229), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (230), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.78/5.80 |
% 21.78/5.80 | Applying alpha-rule on (231) yields:
% 21.78/5.80 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.80 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.78/5.80 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.78/5.80 | (235) all_0_9_9 = e2
% 21.78/5.80 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.78/5.80 |
% 21.78/5.80 | Combining equations (411,235) yields a new equation:
% 21.78/5.80 | (742) e2 = e1
% 21.78/5.80 |
% 21.78/5.80 | Equations (742) can reduce 75 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.78/5.80 |
% 21.78/5.80 | Applying alpha-rule on (238) yields:
% 21.78/5.80 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.80 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.78/5.80 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.78/5.80 | (242) all_0_10_10 = e1
% 21.78/5.80 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.78/5.80 |
% 21.78/5.80 | Combining equations (242,730) yields a new equation:
% 21.78/5.80 | (742) e2 = e1
% 21.78/5.80 |
% 21.78/5.80 | Equations (742) can reduce 75 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 21.78/5.80 |
% 21.78/5.80 | Applying alpha-rule on (245) yields:
% 21.78/5.80 | (232) ~ (all_0_8_8 = e3)
% 21.78/5.80 | (247) all_0_11_11 = e0
% 21.78/5.80 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 21.78/5.80 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 21.78/5.80 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 21.78/5.80 |
% 21.78/5.80 | Combining equations (399,247) yields a new equation:
% 21.78/5.80 | (564) e3 = e0
% 21.78/5.80 |
% 21.78/5.80 | Simplifying 564 yields:
% 21.78/5.80 | (323) e3 = e0
% 21.78/5.80 |
% 21.78/5.80 | Equations (323) can reduce 3 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.78/5.80 |
% 21.78/5.80 | Applying alpha-rule on (252) yields:
% 21.78/5.80 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.80 | (254) all_0_12_12 = e3
% 21.78/5.80 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.78/5.80 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.78/5.80 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.78/5.80 |
% 21.78/5.80 | Equations (382) can reduce 253 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.78/5.80 |
% 21.78/5.80 | Applying alpha-rule on (259) yields:
% 21.78/5.80 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.80 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.78/5.80 | (262) all_0_14_14 = e1
% 21.78/5.80 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.78/5.80 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.78/5.80 |
% 21.78/5.80 | Equations (382) can reduce 253 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 21.78/5.80 |
% 21.78/5.80 | Applying alpha-rule on (266) yields:
% 21.78/5.80 | (253) ~ (all_0_13_13 = e2)
% 21.78/5.80 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 21.78/5.80 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 21.78/5.80 | (270) all_0_15_15 = e0
% 21.78/5.80 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 21.78/5.80 |
% 21.78/5.80 | Equations (382) can reduce 253 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.78/5.80 |
% 21.78/5.80 | Applying alpha-rule on (273) yields:
% 21.78/5.80 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.78/5.80 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.80 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.78/5.80 | (277) all_0_16_16 = e3
% 21.78/5.80 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.78/5.80 |
% 21.78/5.80 | Combining equations (685,277) yields a new equation:
% 21.78/5.80 | (352) e3 = e2
% 21.78/5.80 |
% 21.78/5.80 | Equations (352) can reduce 111 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.78/5.80 |
% 21.78/5.80 | Applying alpha-rule on (280) yields:
% 21.78/5.80 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.78/5.80 | (282) all_0_17_17 = e2
% 21.78/5.80 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.80 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.78/5.80 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.78/5.80 |
% 21.78/5.80 | Combining equations (282,360) yields a new equation:
% 21.78/5.80 | (352) e3 = e2
% 21.78/5.80 |
% 21.78/5.80 | Equations (352) can reduce 111 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 21.78/5.80 |
% 21.78/5.80 | Applying alpha-rule on (287) yields:
% 21.78/5.80 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 21.78/5.80 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.80 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 21.78/5.80 | (291) all_0_19_19 = e0
% 21.78/5.80 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 21.78/5.80 |
% 21.78/5.80 | Equations (291) can reduce 89 to:
% 21.78/5.80 | (184) ~ (all_0_15_15 = e0)
% 21.78/5.80 |
% 21.78/5.80 | Equations (291) can reduce 456 to:
% 21.78/5.80 | (191) ~ (e2 = e0)
% 21.78/5.80 |
% 21.78/5.80 | Simplifying 191 yields:
% 21.78/5.80 | (29) ~ (e2 = e0)
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (139), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (726) all_0_15_15 = e3
% 21.78/5.80 |
% 21.78/5.80 | Equations (726) can reduce 642 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (642) ~ (all_0_15_15 = e3)
% 21.78/5.80 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (161), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (305) all_0_16_16 = e1
% 21.78/5.80 |
% 21.78/5.80 | Combining equations (685,305) yields a new equation:
% 21.78/5.80 | (966) e2 = e1
% 21.78/5.80 |
% 21.78/5.80 | Simplifying 966 yields:
% 21.78/5.80 | (742) e2 = e1
% 21.78/5.80 |
% 21.78/5.80 | Equations (742) can reduce 75 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (770) ~ (all_0_16_16 = e1)
% 21.78/5.80 | (771) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 21.78/5.80 |
% 21.78/5.80 | Equations (685) can reduce 770 to:
% 21.78/5.80 | (75) ~ (e2 = e1)
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (142), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (418) all_0_11_11 = e1
% 21.78/5.80 |
% 21.78/5.80 | Combining equations (418,399) yields a new equation:
% 21.78/5.80 | (556) e3 = e1
% 21.78/5.80 |
% 21.78/5.80 | Equations (556) can reduce 163 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (413) ~ (all_0_11_11 = e1)
% 21.78/5.80 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (164), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (392) all_0_12_12 = e0
% 21.78/5.80 |
% 21.78/5.80 | Equations (392) can reduce 606 to:
% 21.78/5.80 | (172) $false
% 21.78/5.80 |
% 21.78/5.80 |-The branch is then unsatisfiable
% 21.78/5.80 |-Branch two:
% 21.78/5.80 | (606) ~ (all_0_12_12 = e0)
% 21.78/5.80 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (489), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (490) all_0_15_15 = e1
% 21.78/5.80 |
% 21.78/5.80 | Equations (490) can reduce 30 to:
% 21.78/5.80 | (307) ~ (all_0_12_12 = e1)
% 21.78/5.80 |
% 21.78/5.80 | Equations (490) can reduce 71 to:
% 21.78/5.80 | (222) ~ (all_0_14_14 = e1)
% 21.78/5.80 |
% 21.78/5.80 | Equations (490) can reduce 642 to:
% 21.78/5.80 | (313) ~ (e3 = e1)
% 21.78/5.80 |
% 21.78/5.80 | Simplifying 313 yields:
% 21.78/5.80 | (163) ~ (e3 = e1)
% 21.78/5.80 |
% 21.78/5.80 | Equations (490) can reduce 725 to:
% 21.78/5.80 | (924) ~ (e2 = e1)
% 21.78/5.80 |
% 21.78/5.80 | Simplifying 924 yields:
% 21.78/5.80 | (75) ~ (e2 = e1)
% 21.78/5.80 |
% 21.78/5.80 | Equations (490) can reduce 184 to:
% 21.78/5.80 | (157) ~ (e1 = e0)
% 21.78/5.80 |
% 21.78/5.80 +-Applying beta-rule and splitting (146), into two cases.
% 21.78/5.80 |-Branch one:
% 21.78/5.80 | (621) all_0_8_8 = e1
% 21.78/5.80 |
% 21.78/5.80 | Combining equations (621,322) yields a new equation:
% 21.78/5.81 | (542) e1 = e0
% 21.78/5.81 |
% 21.78/5.81 | Simplifying 542 yields:
% 21.78/5.81 | (543) e1 = e0
% 21.78/5.81 |
% 21.78/5.81 | Equations (543) can reduce 157 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (196) ~ (all_0_8_8 = e1)
% 21.78/5.81 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (778), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (389) all_0_12_12 = e1
% 21.78/5.81 |
% 21.78/5.81 | Equations (389) can reduce 307 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (307) ~ (all_0_12_12 = e1)
% 21.78/5.81 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (2268), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (305) all_0_16_16 = e1
% 21.78/5.81 |
% 21.78/5.81 | Combining equations (685,305) yields a new equation:
% 21.78/5.81 | (966) e2 = e1
% 21.78/5.81 |
% 21.78/5.81 | Simplifying 966 yields:
% 21.78/5.81 | (742) e2 = e1
% 21.78/5.81 |
% 21.78/5.81 | Equations (742) can reduce 75 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (770) ~ (all_0_16_16 = e1)
% 21.78/5.81 | (952) all_0_20_20 = e1
% 21.78/5.81 |
% 21.78/5.81 | Equations (952) can reduce 186 to:
% 21.78/5.81 | (157) ~ (e1 = e0)
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (107), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (327) all_0_20_20 = e3
% 21.78/5.81 |
% 21.78/5.81 | Combining equations (952,327) yields a new equation:
% 21.78/5.81 | (556) e3 = e1
% 21.78/5.81 |
% 21.78/5.81 | Equations (556) can reduce 163 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (210) ~ (all_0_20_20 = e3)
% 21.78/5.81 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 21.78/5.81 |
% 21.78/5.81 | Equations (952) can reduce 210 to:
% 21.78/5.81 | (313) ~ (e3 = e1)
% 21.78/5.81 |
% 21.78/5.81 | Simplifying 313 yields:
% 21.78/5.81 | (163) ~ (e3 = e1)
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (771), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (368) all_0_17_17 = e1
% 21.78/5.81 |
% 21.78/5.81 | Combining equations (360,368) yields a new equation:
% 21.78/5.81 | (555) e3 = e1
% 21.78/5.81 |
% 21.78/5.81 | Simplifying 555 yields:
% 21.78/5.81 | (556) e3 = e1
% 21.78/5.81 |
% 21.78/5.81 | Equations (556) can reduce 163 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (310) ~ (all_0_17_17 = e1)
% 21.78/5.81 | (920) all_0_18_18 = e1 | all_0_19_19 = e1
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (1766), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (447) all_0_13_13 = e0
% 21.78/5.81 |
% 21.78/5.81 | Combining equations (382,447) yields a new equation:
% 21.78/5.81 | (499) e2 = e0
% 21.78/5.81 |
% 21.78/5.81 | Simplifying 499 yields:
% 21.78/5.81 | (500) e2 = e0
% 21.78/5.81 |
% 21.78/5.81 | Equations (500) can reduce 29 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (373) ~ (all_0_13_13 = e0)
% 21.78/5.81 | (3431) all_0_14_14 = e0 | all_0_15_15 = e0
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (3431), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (529) all_0_14_14 = e0
% 21.78/5.81 |
% 21.78/5.81 | Equations (529) can reduce 222 to:
% 21.78/5.81 | (193) ~ (e1 = e0)
% 21.78/5.81 |
% 21.78/5.81 | Simplifying 193 yields:
% 21.78/5.81 | (157) ~ (e1 = e0)
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (920), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (220) all_0_18_18 = e1
% 21.78/5.81 |
% 21.78/5.81 | Equations (220) can reduce 275 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (275) ~ (all_0_18_18 = e1)
% 21.78/5.81 | (458) all_0_19_19 = e1
% 21.78/5.81 |
% 21.78/5.81 | Combining equations (291,458) yields a new equation:
% 21.78/5.81 | (543) e1 = e0
% 21.78/5.81 |
% 21.78/5.81 | Equations (543) can reduce 157 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (470) ~ (all_0_14_14 = e0)
% 21.78/5.81 | (270) all_0_15_15 = e0
% 21.78/5.81 |
% 21.78/5.81 | Combining equations (490,270) yields a new equation:
% 21.78/5.81 | (542) e1 = e0
% 21.78/5.81 |
% 21.78/5.81 | Simplifying 542 yields:
% 21.78/5.81 | (543) e1 = e0
% 21.78/5.81 |
% 21.78/5.81 | Equations (543) can reduce 157 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (536) ~ (all_0_15_15 = e1)
% 21.78/5.81 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (537), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (458) all_0_19_19 = e1
% 21.78/5.81 |
% 21.78/5.81 | Combining equations (458,291) yields a new equation:
% 21.78/5.81 | (542) e1 = e0
% 21.78/5.81 |
% 21.78/5.81 | Simplifying 542 yields:
% 21.78/5.81 | (543) e1 = e0
% 21.78/5.81 |
% 21.78/5.81 | Equations (543) can reduce 157 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (312) ~ (all_0_19_19 = e1)
% 21.78/5.81 | (179) all_0_23_23 = e1
% 21.78/5.81 |
% 21.78/5.81 | Combining equations (175,179) yields a new equation:
% 21.78/5.81 | (966) e2 = e1
% 21.78/5.81 |
% 21.78/5.81 | Simplifying 966 yields:
% 21.78/5.81 | (742) e2 = e1
% 21.78/5.81 |
% 21.78/5.81 | Equations (742) can reduce 75 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 21.78/5.81 |
% 21.78/5.81 | Applying alpha-rule on (294) yields:
% 21.78/5.81 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 21.78/5.81 | (296) ~ (all_0_23_23 = e0)
% 21.78/5.81 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 21.78/5.81 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 21.78/5.81 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (299), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (204) ~ (all_0_11_11 = e3)
% 21.78/5.81 |
% 21.78/5.81 | Equations (399) can reduce 204 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (399) all_0_11_11 = e3
% 21.78/5.81 | (199) ~ (all_0_8_8 = e0)
% 21.78/5.81 |
% 21.78/5.81 | Equations (322) can reduce 199 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (315) ~ (all_0_17_17 = e3)
% 21.78/5.81 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.78/5.81 |
% 21.78/5.81 +-Applying beta-rule and splitting (363), into two cases.
% 21.78/5.81 |-Branch one:
% 21.78/5.81 | (282) all_0_17_17 = e2
% 21.78/5.81 |
% 21.78/5.81 | Equations (282) can reduce 344 to:
% 21.78/5.81 | (172) $false
% 21.78/5.81 |
% 21.78/5.81 |-The branch is then unsatisfiable
% 21.78/5.81 |-Branch two:
% 21.78/5.81 | (344) ~ (all_0_17_17 = e2)
% 21.78/5.81 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (367), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (368) all_0_17_17 = e1
% 22.06/5.81 |
% 22.06/5.81 | Equations (368) can reduce 310 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (310) ~ (all_0_17_17 = e1)
% 22.06/5.81 | (371) all_0_17_17 = e0
% 22.06/5.81 |
% 22.06/5.81 | Equations (371) can reduce 1184 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (423) ~ (all_0_9_9 = e1)
% 22.06/5.81 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (900), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (242) all_0_10_10 = e1
% 22.06/5.81 |
% 22.06/5.81 | Combining equations (730,242) yields a new equation:
% 22.06/5.81 | (966) e2 = e1
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 966 yields:
% 22.06/5.81 | (742) e2 = e1
% 22.06/5.81 |
% 22.06/5.81 | Equations (742) can reduce 75 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (221) ~ (all_0_10_10 = e1)
% 22.06/5.81 | (418) all_0_11_11 = e1
% 22.06/5.81 |
% 22.06/5.81 | Combining equations (399,418) yields a new equation:
% 22.06/5.81 | (555) e3 = e1
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 555 yields:
% 22.06/5.81 | (556) e3 = e1
% 22.06/5.81 |
% 22.06/5.81 | Equations (556) can reduce 163 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (621) all_0_8_8 = e1
% 22.06/5.81 | (695) all_0_10_10 = e3
% 22.06/5.81 |
% 22.06/5.81 | Combining equations (695,730) yields a new equation:
% 22.06/5.81 | (511) e3 = e2
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 511 yields:
% 22.06/5.81 | (352) e3 = e2
% 22.06/5.81 |
% 22.06/5.81 | Equations (352) can reduce 111 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (985) ~ (all_0_10_10 = e2)
% 22.06/5.81 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (2041), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (730) all_0_10_10 = e2
% 22.06/5.81 |
% 22.06/5.81 | Equations (730) can reduce 985 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (985) ~ (all_0_10_10 = e2)
% 22.06/5.81 | (414) all_0_11_11 = e2
% 22.06/5.81 |
% 22.06/5.81 | Equations (414) can reduce 343 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (688) ~ (all_0_16_16 = e2)
% 22.06/5.81 | (335) all_0_20_20 = e2
% 22.06/5.81 |
% 22.06/5.81 | Equations (335) can reduce 466 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.81 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (443), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (444) all_0_13_13 = e1
% 22.06/5.81 |
% 22.06/5.81 | Equations (444) can reduce 167 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (167) ~ (all_0_13_13 = e1)
% 22.06/5.81 | (447) all_0_13_13 = e0
% 22.06/5.81 |
% 22.06/5.81 | Equations (447) can reduce 373 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (347) all_0_13_13 = e3
% 22.06/5.81 | (385) all_0_12_12 = e2
% 22.06/5.81 |
% 22.06/5.81 | Equations (347) can reduce 22 to:
% 22.06/5.81 | (202) ~ (all_0_9_9 = e3)
% 22.06/5.81 |
% 22.06/5.81 | Equations (385,347) can reduce 93 to:
% 22.06/5.81 | (345) ~ (e3 = e2)
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 345 yields:
% 22.06/5.81 | (111) ~ (e3 = e2)
% 22.06/5.81 |
% 22.06/5.81 | Equations (385) can reduce 60 to:
% 22.06/5.81 | (6400) ~ (all_0_14_14 = e2)
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 6400 yields:
% 22.06/5.81 | (521) ~ (all_0_14_14 = e2)
% 22.06/5.81 |
% 22.06/5.81 | Equations (385) can reduce 45 to:
% 22.06/5.81 | (5415) ~ (all_0_16_16 = e2)
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 5415 yields:
% 22.06/5.81 | (688) ~ (all_0_16_16 = e2)
% 22.06/5.81 |
% 22.06/5.81 | Equations (347) can reduce 12 to:
% 22.06/5.81 | (2797) ~ (all_0_14_14 = e3)
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 2797 yields:
% 22.06/5.81 | (308) ~ (all_0_14_14 = e3)
% 22.06/5.81 |
% 22.06/5.81 | Equations (347) can reduce 135 to:
% 22.06/5.81 | (641) ~ (all_0_15_15 = e3)
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 641 yields:
% 22.06/5.81 | (642) ~ (all_0_15_15 = e3)
% 22.06/5.81 |
% 22.06/5.81 | Equations (347) can reduce 5 to:
% 22.06/5.81 | (2518) ~ (all_0_17_17 = e3)
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 2518 yields:
% 22.06/5.81 | (315) ~ (all_0_17_17 = e3)
% 22.06/5.81 |
% 22.06/5.81 | Equations (347) can reduce 167 to:
% 22.06/5.81 | (163) ~ (e3 = e1)
% 22.06/5.81 |
% 22.06/5.81 | Equations (347) can reduce 373 to:
% 22.06/5.81 | (3) ~ (e3 = e0)
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (48), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (195) ~ (all_0_18_18 = e2)
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (113), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (685) all_0_16_16 = e2
% 22.06/5.81 |
% 22.06/5.81 | Equations (685) can reduce 688 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (688) ~ (all_0_16_16 = e2)
% 22.06/5.81 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (68), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (730) all_0_10_10 = e2
% 22.06/5.81 |
% 22.06/5.81 | Equations (730) can reduce 24 to:
% 22.06/5.81 | (198) ~ (all_0_8_8 = e2)
% 22.06/5.81 |
% 22.06/5.81 | Equations (730) can reduce 166 to:
% 22.06/5.81 | (383) ~ (all_0_9_9 = e2)
% 22.06/5.81 |
% 22.06/5.81 | Equations (730) can reduce 51 to:
% 22.06/5.81 | (732) ~ (all_0_18_18 = e2)
% 22.06/5.81 |
% 22.06/5.81 | Simplifying 732 yields:
% 22.06/5.81 | (195) ~ (all_0_18_18 = e2)
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (27), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (695) all_0_10_10 = e3
% 22.06/5.81 |
% 22.06/5.81 | Combining equations (730,695) yields a new equation:
% 22.06/5.81 | (352) e3 = e2
% 22.06/5.81 |
% 22.06/5.81 | Equations (352) can reduce 111 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.81 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (69), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (338) all_0_9_9 = e3
% 22.06/5.81 |
% 22.06/5.81 | Equations (338) can reduce 202 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (202) ~ (all_0_9_9 = e3)
% 22.06/5.81 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (698), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (516) all_0_14_14 = e3
% 22.06/5.81 |
% 22.06/5.81 | Equations (516) can reduce 308 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (308) ~ (all_0_14_14 = e3)
% 22.06/5.81 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (703), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (212) all_0_18_18 = e3
% 22.06/5.81 |
% 22.06/5.81 | Equations (212) can reduce 211 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (211) ~ (all_0_18_18 = e3)
% 22.06/5.81 | (560) all_0_22_22 = e3
% 22.06/5.81 |
% 22.06/5.81 | Equations (560) can reduce 119 to:
% 22.06/5.81 | (211) ~ (all_0_18_18 = e3)
% 22.06/5.81 |
% 22.06/5.81 | Equations (560) can reduce 188 to:
% 22.06/5.81 | (3) ~ (e3 = e0)
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (61), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (235) all_0_9_9 = e2
% 22.06/5.81 |
% 22.06/5.81 | Equations (235) can reduce 383 to:
% 22.06/5.81 | (172) $false
% 22.06/5.81 |
% 22.06/5.81 |-The branch is then unsatisfiable
% 22.06/5.81 |-Branch two:
% 22.06/5.81 | (383) ~ (all_0_9_9 = e2)
% 22.06/5.81 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 22.06/5.81 |
% 22.06/5.81 +-Applying beta-rule and splitting (128), into two cases.
% 22.06/5.81 |-Branch one:
% 22.06/5.81 | (952) all_0_20_20 = e1
% 22.06/5.81 |
% 22.06/5.81 | Equations (952) can reduce 101 to:
% 22.06/5.82 | (770) ~ (all_0_16_16 = e1)
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (406), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (235) all_0_9_9 = e2
% 22.06/5.82 |
% 22.06/5.82 | Equations (235) can reduce 383 to:
% 22.06/5.82 | (172) $false
% 22.06/5.82 |
% 22.06/5.82 |-The branch is then unsatisfiable
% 22.06/5.82 |-Branch two:
% 22.06/5.82 | (383) ~ (all_0_9_9 = e2)
% 22.06/5.82 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (410), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (411) all_0_9_9 = e1
% 22.06/5.82 |
% 22.06/5.82 | Equations (411) can reduce 116 to:
% 22.06/5.82 | (196) ~ (all_0_8_8 = e1)
% 22.06/5.82 |
% 22.06/5.82 | Equations (411) can reduce 136 to:
% 22.06/5.82 | (309) ~ (all_0_17_17 = e1)
% 22.06/5.82 |
% 22.06/5.82 | Simplifying 309 yields:
% 22.06/5.82 | (310) ~ (all_0_17_17 = e1)
% 22.06/5.82 |
% 22.06/5.82 | Equations (411) can reduce 202 to:
% 22.06/5.82 | (313) ~ (e3 = e1)
% 22.06/5.82 |
% 22.06/5.82 | Simplifying 313 yields:
% 22.06/5.82 | (163) ~ (e3 = e1)
% 22.06/5.82 |
% 22.06/5.82 | Equations (411) can reduce 372 to:
% 22.06/5.82 | (157) ~ (e1 = e0)
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (689), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (282) all_0_17_17 = e2
% 22.06/5.82 |
% 22.06/5.82 | Equations (282) can reduce 144 to:
% 22.06/5.82 | (688) ~ (all_0_16_16 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Equations (282) can reduce 80 to:
% 22.06/5.82 | (732) ~ (all_0_18_18 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Simplifying 732 yields:
% 22.06/5.82 | (195) ~ (all_0_18_18 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Equations (282) can reduce 10 to:
% 22.06/5.82 | (4783) ~ (all_0_19_19 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Simplifying 4783 yields:
% 22.06/5.82 | (456) ~ (all_0_19_19 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Equations (282) can reduce 315 to:
% 22.06/5.82 | (345) ~ (e3 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Simplifying 345 yields:
% 22.06/5.82 | (111) ~ (e3 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Equations (282) can reduce 310 to:
% 22.06/5.82 | (75) ~ (e2 = e1)
% 22.06/5.82 |
% 22.06/5.82 | Equations (282) can reduce 1184 to:
% 22.06/5.82 | (29) ~ (e2 = e0)
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (99), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (223), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (224), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (225), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (226), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (227), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (228), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (229), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (230), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.06/5.82 |
% 22.06/5.82 | Applying alpha-rule on (231) yields:
% 22.06/5.82 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.82 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.06/5.82 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.06/5.82 | (235) all_0_9_9 = e2
% 22.06/5.82 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.06/5.82 |
% 22.06/5.82 | Combining equations (235,411) yields a new equation:
% 22.06/5.82 | (966) e2 = e1
% 22.06/5.82 |
% 22.06/5.82 | Simplifying 966 yields:
% 22.06/5.82 | (742) e2 = e1
% 22.06/5.82 |
% 22.06/5.82 | Equations (742) can reduce 75 to:
% 22.06/5.82 | (172) $false
% 22.06/5.82 |
% 22.06/5.82 |-The branch is then unsatisfiable
% 22.06/5.82 |-Branch two:
% 22.06/5.82 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.06/5.82 |
% 22.06/5.82 | Applying alpha-rule on (238) yields:
% 22.06/5.82 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.82 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.06/5.82 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.06/5.82 | (242) all_0_10_10 = e1
% 22.06/5.82 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.06/5.82 |
% 22.06/5.82 | Combining equations (242,730) yields a new equation:
% 22.06/5.82 | (742) e2 = e1
% 22.06/5.82 |
% 22.06/5.82 | Equations (742) can reduce 75 to:
% 22.06/5.82 | (172) $false
% 22.06/5.82 |
% 22.06/5.82 |-The branch is then unsatisfiable
% 22.06/5.82 |-Branch two:
% 22.06/5.82 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.06/5.82 |
% 22.06/5.82 | Applying alpha-rule on (245) yields:
% 22.06/5.82 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.82 | (247) all_0_11_11 = e0
% 22.06/5.82 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.06/5.82 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.06/5.82 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (236), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (336) ~ (all_0_12_12 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Equations (385) can reduce 336 to:
% 22.06/5.82 | (172) $false
% 22.06/5.82 |
% 22.06/5.82 |-The branch is then unsatisfiable
% 22.06/5.82 |-Branch two:
% 22.06/5.82 | (385) all_0_12_12 = e2
% 22.06/5.82 | (337) ~ (all_0_13_13 = e3)
% 22.06/5.82 |
% 22.06/5.82 | Equations (347) can reduce 337 to:
% 22.06/5.82 | (172) $false
% 22.06/5.82 |
% 22.06/5.82 |-The branch is then unsatisfiable
% 22.06/5.82 |-Branch two:
% 22.06/5.82 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.06/5.82 |
% 22.06/5.82 | Applying alpha-rule on (252) yields:
% 22.06/5.82 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.82 | (254) all_0_12_12 = e3
% 22.06/5.82 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.06/5.82 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.06/5.82 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Combining equations (254,385) yields a new equation:
% 22.06/5.82 | (511) e3 = e2
% 22.06/5.82 |
% 22.06/5.82 | Simplifying 511 yields:
% 22.06/5.82 | (352) e3 = e2
% 22.06/5.82 |
% 22.06/5.82 | Equations (352) can reduce 111 to:
% 22.06/5.82 | (172) $false
% 22.06/5.82 |
% 22.06/5.82 |-The branch is then unsatisfiable
% 22.06/5.82 |-Branch two:
% 22.06/5.82 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.06/5.82 |
% 22.06/5.82 | Applying alpha-rule on (259) yields:
% 22.06/5.82 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.82 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.06/5.82 | (262) all_0_14_14 = e1
% 22.06/5.82 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.06/5.82 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (255), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (169) ~ (all_0_23_23 = e2)
% 22.06/5.82 |
% 22.06/5.82 | Equations (175) can reduce 169 to:
% 22.06/5.82 | (172) $false
% 22.06/5.82 |
% 22.06/5.82 |-The branch is then unsatisfiable
% 22.06/5.82 |-Branch two:
% 22.06/5.82 | (175) all_0_23_23 = e2
% 22.06/5.82 | (187) ~ (all_0_21_21 = e0)
% 22.06/5.82 |
% 22.06/5.82 | Equations (1185) can reduce 187 to:
% 22.06/5.82 | (172) $false
% 22.06/5.82 |
% 22.06/5.82 |-The branch is then unsatisfiable
% 22.06/5.82 |-Branch two:
% 22.06/5.82 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.06/5.82 |
% 22.06/5.82 | Applying alpha-rule on (266) yields:
% 22.06/5.82 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.82 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.06/5.82 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.06/5.82 | (270) all_0_15_15 = e0
% 22.06/5.82 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.06/5.82 |
% 22.06/5.82 +-Applying beta-rule and splitting (255), into two cases.
% 22.06/5.82 |-Branch one:
% 22.06/5.82 | (169) ~ (all_0_23_23 = e2)
% 22.06/5.83 |
% 22.06/5.83 | Equations (175) can reduce 169 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (175) all_0_23_23 = e2
% 22.06/5.83 | (187) ~ (all_0_21_21 = e0)
% 22.06/5.83 |
% 22.06/5.83 | Equations (1185) can reduce 187 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.06/5.83 |
% 22.06/5.83 | Applying alpha-rule on (273) yields:
% 22.06/5.83 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.06/5.83 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.83 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.06/5.83 | (277) all_0_16_16 = e3
% 22.06/5.83 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.06/5.83 |
% 22.06/5.83 | Equations (277) can reduce 121 to:
% 22.06/5.83 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.83 |
% 22.06/5.83 | Equations (277) can reduce 688 to:
% 22.06/5.83 | (111) ~ (e3 = e2)
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (37), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (200) all_0_8_8 = e3
% 22.06/5.83 |
% 22.06/5.83 | Equations (200) can reduce 232 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.83 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (4875), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (382) all_0_13_13 = e2
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (347,382) yields a new equation:
% 22.06/5.83 | (511) e3 = e2
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 511 yields:
% 22.06/5.83 | (352) e3 = e2
% 22.06/5.83 |
% 22.06/5.83 | Equations (352) can reduce 111 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.83 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (4885), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (220) all_0_18_18 = e1
% 22.06/5.83 |
% 22.06/5.83 | Equations (220) can reduce 275 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.83 | (182) all_0_23_23 = e0
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (175,182) yields a new equation:
% 22.06/5.83 | (499) e2 = e0
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 499 yields:
% 22.06/5.83 | (500) e2 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (500) can reduce 29 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.06/5.83 |
% 22.06/5.83 | Applying alpha-rule on (280) yields:
% 22.06/5.83 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.06/5.83 | (282) all_0_17_17 = e2
% 22.06/5.83 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.83 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.06/5.83 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (37), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (200) all_0_8_8 = e3
% 22.06/5.83 |
% 22.06/5.83 | Equations (200) can reduce 124 to:
% 22.06/5.83 | (203) ~ (all_0_11_11 = e3)
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 203 yields:
% 22.06/5.83 | (204) ~ (all_0_11_11 = e3)
% 22.06/5.83 |
% 22.06/5.83 | Equations (200) can reduce 198 to:
% 22.06/5.83 | (111) ~ (e3 = e2)
% 22.06/5.83 |
% 22.06/5.83 | Equations (200) can reduce 196 to:
% 22.06/5.83 | (163) ~ (e3 = e1)
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (63), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (322) all_0_8_8 = e0
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (322,200) yields a new equation:
% 22.06/5.83 | (323) e3 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (323) can reduce 3 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (199) ~ (all_0_8_8 = e0)
% 22.06/5.83 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (432), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (424) all_0_9_9 = e0
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (424,411) yields a new equation:
% 22.06/5.83 | (543) e1 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (543) can reduce 157 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (372) ~ (all_0_9_9 = e0)
% 22.06/5.83 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (436), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (395) all_0_10_10 = e0
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (395,730) yields a new equation:
% 22.06/5.83 | (500) e2 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (500) can reduce 29 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (426) ~ (all_0_10_10 = e0)
% 22.06/5.83 | (247) all_0_11_11 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (247) can reduce 204 to:
% 22.06/5.83 | (189) ~ (e3 = e0)
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 189 yields:
% 22.06/5.83 | (3) ~ (e3 = e0)
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (65), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (399) all_0_11_11 = e3
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (399,247) yields a new equation:
% 22.06/5.83 | (564) e3 = e0
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 564 yields:
% 22.06/5.83 | (323) e3 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (323) can reduce 3 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (204) ~ (all_0_11_11 = e3)
% 22.06/5.83 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (33), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (212) all_0_18_18 = e3
% 22.06/5.83 |
% 22.06/5.83 | Equations (212) can reduce 211 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (211) ~ (all_0_18_18 = e3)
% 22.06/5.83 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (139), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (726) all_0_15_15 = e3
% 22.06/5.83 |
% 22.06/5.83 | Equations (726) can reduce 642 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (642) ~ (all_0_15_15 = e3)
% 22.06/5.83 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (161), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (305) all_0_16_16 = e1
% 22.06/5.83 |
% 22.06/5.83 | Equations (305) can reduce 770 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (770) ~ (all_0_16_16 = e1)
% 22.06/5.83 | (771) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (215), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (216) all_0_18_18 = e2
% 22.06/5.83 |
% 22.06/5.83 | Equations (216) can reduce 195 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (195) ~ (all_0_18_18 = e2)
% 22.06/5.83 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (219), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (220) all_0_18_18 = e1
% 22.06/5.83 |
% 22.06/5.83 | Equations (220) can reduce 275 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.83 | (302) all_0_18_18 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (302) can reduce 275 to:
% 22.06/5.83 | (193) ~ (e1 = e0)
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 193 yields:
% 22.06/5.83 | (157) ~ (e1 = e0)
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (771), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (368) all_0_17_17 = e1
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (368,282) yields a new equation:
% 22.06/5.83 | (742) e2 = e1
% 22.06/5.83 |
% 22.06/5.83 | Equations (742) can reduce 75 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (310) ~ (all_0_17_17 = e1)
% 22.06/5.83 | (920) all_0_18_18 = e1 | all_0_19_19 = e1
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (920), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (220) all_0_18_18 = e1
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (302,220) yields a new equation:
% 22.06/5.83 | (543) e1 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (543) can reduce 157 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.83 | (458) all_0_19_19 = e1
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (1358), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (726) all_0_15_15 = e3
% 22.06/5.83 |
% 22.06/5.83 | Equations (726) can reduce 642 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (642) ~ (all_0_15_15 = e3)
% 22.06/5.83 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (8093), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (331) all_0_19_19 = e3
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (458,331) yields a new equation:
% 22.06/5.83 | (556) e3 = e1
% 22.06/5.83 |
% 22.06/5.83 | Equations (556) can reduce 163 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (317) ~ (all_0_19_19 = e3)
% 22.06/5.83 | (171) all_0_23_23 = e3
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (171,175) yields a new equation:
% 22.06/5.83 | (511) e3 = e2
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 511 yields:
% 22.06/5.83 | (352) e3 = e2
% 22.06/5.83 |
% 22.06/5.83 | Equations (352) can reduce 111 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.83 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (4875), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (382) all_0_13_13 = e2
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (347,382) yields a new equation:
% 22.06/5.83 | (511) e3 = e2
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 511 yields:
% 22.06/5.83 | (352) e3 = e2
% 22.06/5.83 |
% 22.06/5.83 | Equations (352) can reduce 111 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.83 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (4885), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (220) all_0_18_18 = e1
% 22.06/5.83 |
% 22.06/5.83 | Equations (220) can reduce 275 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.83 | (182) all_0_23_23 = e0
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (175,182) yields a new equation:
% 22.06/5.83 | (499) e2 = e0
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 499 yields:
% 22.06/5.83 | (500) e2 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (500) can reduce 29 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.06/5.83 |
% 22.06/5.83 | Applying alpha-rule on (287) yields:
% 22.06/5.83 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.06/5.83 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.83 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.06/5.83 | (291) all_0_19_19 = e0
% 22.06/5.83 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.06/5.83 |
% 22.06/5.83 | Equations (291) can reduce 132 to:
% 22.06/5.83 | (183) ~ (all_0_11_11 = e0)
% 22.06/5.83 |
% 22.06/5.83 | Equations (291) can reduce 456 to:
% 22.06/5.83 | (191) ~ (e2 = e0)
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 191 yields:
% 22.06/5.83 | (29) ~ (e2 = e0)
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (37), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (200) all_0_8_8 = e3
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (63), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (322) all_0_8_8 = e0
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (322,200) yields a new equation:
% 22.06/5.83 | (323) e3 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (323) can reduce 3 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (199) ~ (all_0_8_8 = e0)
% 22.06/5.83 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (432), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (424) all_0_9_9 = e0
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (424,411) yields a new equation:
% 22.06/5.83 | (543) e1 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (543) can reduce 157 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (372) ~ (all_0_9_9 = e0)
% 22.06/5.83 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (436), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (395) all_0_10_10 = e0
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (395,730) yields a new equation:
% 22.06/5.83 | (500) e2 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (500) can reduce 29 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (426) ~ (all_0_10_10 = e0)
% 22.06/5.83 | (247) all_0_11_11 = e0
% 22.06/5.83 |
% 22.06/5.83 | Equations (247) can reduce 183 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.83 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (4875), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (382) all_0_13_13 = e2
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (347,382) yields a new equation:
% 22.06/5.83 | (511) e3 = e2
% 22.06/5.83 |
% 22.06/5.83 | Simplifying 511 yields:
% 22.06/5.83 | (352) e3 = e2
% 22.06/5.83 |
% 22.06/5.83 | Equations (352) can reduce 111 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.83 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.83 |
% 22.06/5.83 +-Applying beta-rule and splitting (4885), into two cases.
% 22.06/5.83 |-Branch one:
% 22.06/5.83 | (220) all_0_18_18 = e1
% 22.06/5.83 |
% 22.06/5.83 | Equations (220) can reduce 275 to:
% 22.06/5.83 | (172) $false
% 22.06/5.83 |
% 22.06/5.83 |-The branch is then unsatisfiable
% 22.06/5.83 |-Branch two:
% 22.06/5.83 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.83 | (182) all_0_23_23 = e0
% 22.06/5.83 |
% 22.06/5.83 | Combining equations (175,182) yields a new equation:
% 22.06/5.84 | (499) e2 = e0
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 499 yields:
% 22.06/5.84 | (500) e2 = e0
% 22.06/5.84 |
% 22.06/5.84 | Equations (500) can reduce 29 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Applying alpha-rule on (294) yields:
% 22.06/5.84 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 22.06/5.84 | (296) ~ (all_0_23_23 = e0)
% 22.06/5.84 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 22.06/5.84 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 22.06/5.84 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 22.06/5.84 |
% 22.06/5.84 | Equations (175) can reduce 296 to:
% 22.06/5.84 | (29) ~ (e2 = e0)
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (295), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (327) all_0_20_20 = e3
% 22.06/5.84 |
% 22.06/5.84 | Combining equations (952,327) yields a new equation:
% 22.06/5.84 | (556) e3 = e1
% 22.06/5.84 |
% 22.06/5.84 | Equations (556) can reduce 163 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (210) ~ (all_0_20_20 = e3)
% 22.06/5.84 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 22.06/5.84 |
% 22.06/5.84 | Equations (952) can reduce 210 to:
% 22.06/5.84 | (313) ~ (e3 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 313 yields:
% 22.06/5.84 | (163) ~ (e3 = e1)
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (4710), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (510) all_0_21_21 = e2
% 22.06/5.84 |
% 22.06/5.84 | Combining equations (510,1185) yields a new equation:
% 22.06/5.84 | (499) e2 = e0
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 499 yields:
% 22.06/5.84 | (500) e2 = e0
% 22.06/5.84 |
% 22.06/5.84 | Equations (500) can reduce 29 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (514) ~ (all_0_21_21 = e2)
% 22.06/5.84 | (864) all_0_22_22 = e1
% 22.06/5.84 |
% 22.06/5.84 | Combining equations (864,560) yields a new equation:
% 22.06/5.84 | (556) e3 = e1
% 22.06/5.84 |
% 22.06/5.84 | Equations (556) can reduce 163 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (344) ~ (all_0_17_17 = e2)
% 22.06/5.84 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (694), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (216) all_0_18_18 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (216) can reduce 195 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (195) ~ (all_0_18_18 = e2)
% 22.06/5.84 | (342) all_0_19_19 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (342) can reduce 456 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (423) ~ (all_0_9_9 = e1)
% 22.06/5.84 | (424) all_0_9_9 = e0
% 22.06/5.84 |
% 22.06/5.84 | Equations (424) can reduce 372 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (963) ~ (all_0_20_20 = e1)
% 22.06/5.84 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (964), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (554) all_0_21_21 = e1
% 22.06/5.84 |
% 22.06/5.84 | Combining equations (1185,554) yields a new equation:
% 22.06/5.84 | (543) e1 = e0
% 22.06/5.84 |
% 22.06/5.84 | Equations (543) can reduce 157 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (969) ~ (all_0_21_21 = e1)
% 22.06/5.84 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (970), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (864) all_0_22_22 = e1
% 22.06/5.84 |
% 22.06/5.84 | Combining equations (560,864) yields a new equation:
% 22.06/5.84 | (555) e3 = e1
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 555 yields:
% 22.06/5.84 | (556) e3 = e1
% 22.06/5.84 |
% 22.06/5.84 | Equations (556) can reduce 163 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (975) ~ (all_0_22_22 = e1)
% 22.06/5.84 | (179) all_0_23_23 = e1
% 22.06/5.84 |
% 22.06/5.84 | Combining equations (179,175) yields a new equation:
% 22.06/5.84 | (742) e2 = e1
% 22.06/5.84 |
% 22.06/5.84 | Equations (742) can reduce 75 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (985) ~ (all_0_10_10 = e2)
% 22.06/5.84 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (689), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (282) all_0_17_17 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (282) can reduce 80 to:
% 22.06/5.84 | (732) ~ (all_0_18_18 = e2)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 732 yields:
% 22.06/5.84 | (195) ~ (all_0_18_18 = e2)
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (986), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (522) all_0_14_14 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (522) can reduce 521 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (521) ~ (all_0_14_14 = e2)
% 22.06/5.84 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (999), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (216) all_0_18_18 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (216) can reduce 195 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (195) ~ (all_0_18_18 = e2)
% 22.06/5.84 | (520) all_0_22_22 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (520) can reduce 531 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (344) ~ (all_0_17_17 = e2)
% 22.06/5.84 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (694), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (216) all_0_18_18 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (216) can reduce 195 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (195) ~ (all_0_18_18 = e2)
% 22.06/5.84 | (342) all_0_19_19 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (342) can reduce 456 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (216) all_0_18_18 = e2
% 22.06/5.84 | (368) all_0_17_17 = e1
% 22.06/5.84 |
% 22.06/5.84 | Equations (368) can reduce 136 to:
% 22.06/5.84 | (423) ~ (all_0_9_9 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Equations (368) can reduce 144 to:
% 22.06/5.84 | (770) ~ (all_0_16_16 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Equations (216) can reduce 28 to:
% 22.06/5.84 | (688) ~ (all_0_16_16 = e2)
% 22.06/5.84 |
% 22.06/5.84 | Equations (368,216) can reduce 80 to:
% 22.06/5.84 | (924) ~ (e2 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 924 yields:
% 22.06/5.84 | (75) ~ (e2 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Equations (368) can reduce 10 to:
% 22.06/5.84 | (311) ~ (all_0_19_19 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 311 yields:
% 22.06/5.84 | (312) ~ (all_0_19_19 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Equations (368) can reduce 315 to:
% 22.06/5.84 | (313) ~ (e3 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 313 yields:
% 22.06/5.84 | (163) ~ (e3 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Equations (216) can reduce 43 to:
% 22.06/5.84 | (4783) ~ (all_0_19_19 = e2)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 4783 yields:
% 22.06/5.84 | (456) ~ (all_0_19_19 = e2)
% 22.06/5.84 |
% 22.06/5.84 | Equations (216) can reduce 211 to:
% 22.06/5.84 | (345) ~ (e3 = e2)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 345 yields:
% 22.06/5.84 | (111) ~ (e3 = e2)
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (61), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (235) all_0_9_9 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (235) can reduce 116 to:
% 22.06/5.84 | (198) ~ (all_0_8_8 = e2)
% 22.06/5.84 |
% 22.06/5.84 | Equations (235) can reduce 202 to:
% 22.06/5.84 | (345) ~ (e3 = e2)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 345 yields:
% 22.06/5.84 | (111) ~ (e3 = e2)
% 22.06/5.84 |
% 22.06/5.84 | Equations (235) can reduce 423 to:
% 22.06/5.84 | (75) ~ (e2 = e1)
% 22.06/5.84 |
% 22.06/5.84 | Equations (235) can reduce 372 to:
% 22.06/5.84 | (29) ~ (e2 = e0)
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (37), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (200) all_0_8_8 = e3
% 22.06/5.84 |
% 22.06/5.84 | Equations (200) can reduce 24 to:
% 22.06/5.84 | (1214) ~ (all_0_10_10 = e3)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 1214 yields:
% 22.06/5.84 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.84 |
% 22.06/5.84 | Equations (200) can reduce 121 to:
% 22.06/5.84 | (207) ~ (all_0_16_16 = e3)
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 207 yields:
% 22.06/5.84 | (208) ~ (all_0_16_16 = e3)
% 22.06/5.84 |
% 22.06/5.84 | Equations (200) can reduce 198 to:
% 22.06/5.84 | (111) ~ (e3 = e2)
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (77), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (277) all_0_16_16 = e3
% 22.06/5.84 |
% 22.06/5.84 | Equations (277) can reduce 208 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (208) ~ (all_0_16_16 = e3)
% 22.06/5.84 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (1015), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (360) all_0_17_17 = e3
% 22.06/5.84 |
% 22.06/5.84 | Combining equations (368,360) yields a new equation:
% 22.06/5.84 | (556) e3 = e1
% 22.06/5.84 |
% 22.06/5.84 | Equations (556) can reduce 163 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (315) ~ (all_0_17_17 = e3)
% 22.06/5.84 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (1031), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (212) all_0_18_18 = e3
% 22.06/5.84 |
% 22.06/5.84 | Combining equations (212,216) yields a new equation:
% 22.06/5.84 | (511) e3 = e2
% 22.06/5.84 |
% 22.06/5.84 | Simplifying 511 yields:
% 22.06/5.84 | (352) e3 = e2
% 22.06/5.84 |
% 22.06/5.84 | Equations (352) can reduce 111 to:
% 22.06/5.84 | (172) $false
% 22.06/5.84 |
% 22.06/5.84 |-The branch is then unsatisfiable
% 22.06/5.84 |-Branch two:
% 22.06/5.84 | (211) ~ (all_0_18_18 = e3)
% 22.06/5.84 | (331) all_0_19_19 = e3
% 22.06/5.84 |
% 22.06/5.84 | Equations (331) can reduce 138 to:
% 22.06/5.84 | (208) ~ (all_0_16_16 = e3)
% 22.06/5.84 |
% 22.06/5.84 | Equations (331) can reduce 456 to:
% 22.06/5.84 | (111) ~ (e3 = e2)
% 22.06/5.84 |
% 22.06/5.84 | Equations (331) can reduce 312 to:
% 22.06/5.84 | (163) ~ (e3 = e1)
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (99), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (223), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (224), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.06/5.84 |
% 22.06/5.84 +-Applying beta-rule and splitting (225), into two cases.
% 22.06/5.84 |-Branch one:
% 22.06/5.84 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (226), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (227), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (228), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (229), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (230), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (231) yields:
% 22.06/5.85 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.85 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.06/5.85 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.06/5.85 | (235) all_0_9_9 = e2
% 22.06/5.85 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.06/5.85 |
% 22.06/5.85 | Equations (200) can reduce 232 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (238) yields:
% 22.06/5.85 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.85 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.06/5.85 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.06/5.85 | (242) all_0_10_10 = e1
% 22.06/5.85 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.06/5.85 |
% 22.06/5.85 | Equations (200) can reduce 232 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (245) yields:
% 22.06/5.85 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.85 | (247) all_0_11_11 = e0
% 22.06/5.85 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.06/5.85 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.06/5.85 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.06/5.85 |
% 22.06/5.85 | Equations (200) can reduce 232 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (252) yields:
% 22.06/5.85 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.85 | (254) all_0_12_12 = e3
% 22.06/5.85 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.06/5.85 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.06/5.85 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (254,385) yields a new equation:
% 22.06/5.85 | (511) e3 = e2
% 22.06/5.85 |
% 22.06/5.85 | Simplifying 511 yields:
% 22.06/5.85 | (352) e3 = e2
% 22.06/5.85 |
% 22.06/5.85 | Equations (352) can reduce 111 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (259) yields:
% 22.06/5.85 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.85 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.06/5.85 | (262) all_0_14_14 = e1
% 22.06/5.85 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.06/5.85 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (255), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (169) ~ (all_0_23_23 = e2)
% 22.06/5.85 |
% 22.06/5.85 | Equations (175) can reduce 169 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (175) all_0_23_23 = e2
% 22.06/5.85 | (187) ~ (all_0_21_21 = e0)
% 22.06/5.85 |
% 22.06/5.85 | Equations (1185) can reduce 187 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (266) yields:
% 22.06/5.85 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.85 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.06/5.85 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.06/5.85 | (270) all_0_15_15 = e0
% 22.06/5.85 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (257), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (310) ~ (all_0_17_17 = e1)
% 22.06/5.85 |
% 22.06/5.85 | Equations (368) can reduce 310 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (368) all_0_17_17 = e1
% 22.06/5.85 | (195) ~ (all_0_18_18 = e2)
% 22.06/5.85 |
% 22.06/5.85 | Equations (216) can reduce 195 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (273) yields:
% 22.06/5.85 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.06/5.85 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.85 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.06/5.85 | (277) all_0_16_16 = e3
% 22.06/5.85 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.06/5.85 |
% 22.06/5.85 | Equations (277) can reduce 208 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (280) yields:
% 22.06/5.85 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.06/5.85 | (282) all_0_17_17 = e2
% 22.06/5.85 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.85 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.06/5.85 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (368,282) yields a new equation:
% 22.06/5.85 | (742) e2 = e1
% 22.06/5.85 |
% 22.06/5.85 | Equations (742) can reduce 75 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (287) yields:
% 22.06/5.85 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.06/5.85 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.85 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.06/5.85 | (291) all_0_19_19 = e0
% 22.06/5.85 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (291,331) yields a new equation:
% 22.06/5.85 | (323) e3 = e0
% 22.06/5.85 |
% 22.06/5.85 | Equations (323) can reduce 3 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 22.06/5.85 |
% 22.06/5.85 | Applying alpha-rule on (294) yields:
% 22.06/5.85 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 22.06/5.85 | (296) ~ (all_0_23_23 = e0)
% 22.06/5.85 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 22.06/5.85 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 22.06/5.85 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 22.06/5.85 |
% 22.06/5.85 | Equations (175) can reduce 296 to:
% 22.06/5.85 | (29) ~ (e2 = e0)
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (117), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (608) all_0_16_16 = e0
% 22.06/5.85 |
% 22.06/5.85 | Equations (608) can reduce 688 to:
% 22.06/5.85 | (191) ~ (e2 = e0)
% 22.06/5.85 |
% 22.06/5.85 | Simplifying 191 yields:
% 22.06/5.85 | (29) ~ (e2 = e0)
% 22.06/5.85 |
% 22.06/5.85 | Equations (608) can reduce 770 to:
% 22.06/5.85 | (193) ~ (e1 = e0)
% 22.06/5.85 |
% 22.06/5.85 | Simplifying 193 yields:
% 22.06/5.85 | (157) ~ (e1 = e0)
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (27), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (695) all_0_10_10 = e3
% 22.06/5.85 |
% 22.06/5.85 | Equations (695) can reduce 306 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.85 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (698), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (516) all_0_14_14 = e3
% 22.06/5.85 |
% 22.06/5.85 | Equations (516) can reduce 308 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (308) ~ (all_0_14_14 = e3)
% 22.06/5.85 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (703), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (212) all_0_18_18 = e3
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (216,212) yields a new equation:
% 22.06/5.85 | (352) e3 = e2
% 22.06/5.85 |
% 22.06/5.85 | Equations (352) can reduce 111 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (211) ~ (all_0_18_18 = e3)
% 22.06/5.85 | (560) all_0_22_22 = e3
% 22.06/5.85 |
% 22.06/5.85 | Equations (560) can reduce 14 to:
% 22.06/5.85 | (210) ~ (all_0_20_20 = e3)
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (128), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (952) all_0_20_20 = e1
% 22.06/5.85 |
% 22.06/5.85 | Equations (952) can reduce 210 to:
% 22.06/5.85 | (313) ~ (e3 = e1)
% 22.06/5.85 |
% 22.06/5.85 | Simplifying 313 yields:
% 22.06/5.85 | (163) ~ (e3 = e1)
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (295), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (327) all_0_20_20 = e3
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (952,327) yields a new equation:
% 22.06/5.85 | (556) e3 = e1
% 22.06/5.85 |
% 22.06/5.85 | Equations (556) can reduce 163 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (210) ~ (all_0_20_20 = e3)
% 22.06/5.85 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 22.06/5.85 |
% 22.06/5.85 | Equations (952) can reduce 210 to:
% 22.06/5.85 | (313) ~ (e3 = e1)
% 22.06/5.85 |
% 22.06/5.85 | Simplifying 313 yields:
% 22.06/5.85 | (163) ~ (e3 = e1)
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (4710), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (510) all_0_21_21 = e2
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (1185,510) yields a new equation:
% 22.06/5.85 | (500) e2 = e0
% 22.06/5.85 |
% 22.06/5.85 | Equations (500) can reduce 29 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (514) ~ (all_0_21_21 = e2)
% 22.06/5.85 | (864) all_0_22_22 = e1
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (560,864) yields a new equation:
% 22.06/5.85 | (555) e3 = e1
% 22.06/5.85 |
% 22.06/5.85 | Simplifying 555 yields:
% 22.06/5.85 | (556) e3 = e1
% 22.06/5.85 |
% 22.06/5.85 | Equations (556) can reduce 163 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (963) ~ (all_0_20_20 = e1)
% 22.06/5.85 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (146), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (621) all_0_8_8 = e1
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (621,200) yields a new equation:
% 22.06/5.85 | (556) e3 = e1
% 22.06/5.85 |
% 22.06/5.85 | Equations (556) can reduce 163 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (196) ~ (all_0_8_8 = e1)
% 22.06/5.85 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (778), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (389) all_0_12_12 = e1
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (389,385) yields a new equation:
% 22.06/5.85 | (742) e2 = e1
% 22.06/5.85 |
% 22.06/5.85 | Equations (742) can reduce 75 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (307) ~ (all_0_12_12 = e1)
% 22.06/5.85 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (2268), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (305) all_0_16_16 = e1
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (608,305) yields a new equation:
% 22.06/5.85 | (543) e1 = e0
% 22.06/5.85 |
% 22.06/5.85 | Equations (543) can reduce 157 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (770) ~ (all_0_16_16 = e1)
% 22.06/5.85 | (952) all_0_20_20 = e1
% 22.06/5.85 |
% 22.06/5.85 | Equations (952) can reduce 963 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (612) ~ (all_0_16_16 = e0)
% 22.06/5.85 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (91), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (322) all_0_8_8 = e0
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (322,200) yields a new equation:
% 22.06/5.85 | (323) e3 = e0
% 22.06/5.85 |
% 22.06/5.85 | Equations (323) can reduce 3 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (199) ~ (all_0_8_8 = e0)
% 22.06/5.85 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 22.06/5.85 |
% 22.06/5.85 +-Applying beta-rule and splitting (326), into two cases.
% 22.06/5.85 |-Branch one:
% 22.06/5.85 | (392) all_0_12_12 = e0
% 22.06/5.85 |
% 22.06/5.85 | Combining equations (392,385) yields a new equation:
% 22.06/5.85 | (500) e2 = e0
% 22.06/5.85 |
% 22.06/5.85 | Equations (500) can reduce 29 to:
% 22.06/5.85 | (172) $false
% 22.06/5.85 |
% 22.06/5.85 |-The branch is then unsatisfiable
% 22.06/5.85 |-Branch two:
% 22.06/5.85 | (606) ~ (all_0_12_12 = e0)
% 22.06/5.85 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (607), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (608) all_0_16_16 = e0
% 22.06/5.86 |
% 22.06/5.86 | Equations (608) can reduce 612 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (612) ~ (all_0_16_16 = e0)
% 22.06/5.86 | (613) all_0_20_20 = e0
% 22.06/5.86 |
% 22.06/5.86 | Equations (613) can reduce 186 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.86 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (4875), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (382) all_0_13_13 = e2
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (347,382) yields a new equation:
% 22.06/5.86 | (511) e3 = e2
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 511 yields:
% 22.06/5.86 | (352) e3 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (352) can reduce 111 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.86 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (4885), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (220) all_0_18_18 = e1
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (220,216) yields a new equation:
% 22.06/5.86 | (742) e2 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (742) can reduce 75 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.86 | (182) all_0_23_23 = e0
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (182,175) yields a new equation:
% 22.06/5.86 | (500) e2 = e0
% 22.06/5.86 |
% 22.06/5.86 | Equations (500) can reduce 29 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (383) ~ (all_0_9_9 = e2)
% 22.06/5.86 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (930), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (382) all_0_13_13 = e2
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (347,382) yields a new equation:
% 22.06/5.86 | (511) e3 = e2
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 511 yields:
% 22.06/5.86 | (352) e3 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (352) can reduce 111 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.86 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (939), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (282) all_0_17_17 = e2
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (368,282) yields a new equation:
% 22.06/5.86 | (742) e2 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (742) can reduce 75 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (344) ~ (all_0_17_17 = e2)
% 22.06/5.86 | (510) all_0_21_21 = e2
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (1185,510) yields a new equation:
% 22.06/5.86 | (500) e2 = e0
% 22.06/5.86 |
% 22.06/5.86 | Equations (500) can reduce 29 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (212) all_0_18_18 = e3
% 22.06/5.86 | (305) all_0_16_16 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (212) can reduce 51 to:
% 22.06/5.86 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (305) can reduce 144 to:
% 22.06/5.86 | (309) ~ (all_0_17_17 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 309 yields:
% 22.06/5.86 | (310) ~ (all_0_17_17 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Equations (305,212) can reduce 28 to:
% 22.06/5.86 | (313) ~ (e3 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 313 yields:
% 22.06/5.86 | (163) ~ (e3 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Equations (305) can reduce 138 to:
% 22.06/5.86 | (311) ~ (all_0_19_19 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 311 yields:
% 22.06/5.86 | (312) ~ (all_0_19_19 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Equations (212) can reduce 80 to:
% 22.06/5.86 | (315) ~ (all_0_17_17 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (212) can reduce 43 to:
% 22.06/5.86 | (316) ~ (all_0_19_19 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 316 yields:
% 22.06/5.86 | (317) ~ (all_0_19_19 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (212) can reduce 119 to:
% 22.06/5.86 | (318) ~ (all_0_22_22 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 318 yields:
% 22.06/5.86 | (319) ~ (all_0_22_22 = e3)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (143), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (560) all_0_22_22 = e3
% 22.06/5.86 |
% 22.06/5.86 | Equations (560) can reduce 319 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (319) ~ (all_0_22_22 = e3)
% 22.06/5.86 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (21), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (411) all_0_9_9 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (411) can reduce 116 to:
% 22.06/5.86 | (196) ~ (all_0_8_8 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Equations (411) can reduce 54 to:
% 22.06/5.86 | (412) ~ (all_0_11_11 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 412 yields:
% 22.06/5.86 | (413) ~ (all_0_11_11 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Equations (411) can reduce 136 to:
% 22.06/5.86 | (309) ~ (all_0_17_17 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 309 yields:
% 22.06/5.86 | (310) ~ (all_0_17_17 = e1)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (151), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (338) all_0_9_9 = e3
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (338,411) yields a new equation:
% 22.06/5.86 | (555) e3 = e1
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 555 yields:
% 22.06/5.86 | (556) e3 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (556) can reduce 163 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (202) ~ (all_0_9_9 = e3)
% 22.06/5.86 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (341), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (347) all_0_13_13 = e3
% 22.06/5.86 |
% 22.06/5.86 | Equations (347) can reduce 135 to:
% 22.06/5.86 | (641) ~ (all_0_15_15 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 641 yields:
% 22.06/5.86 | (642) ~ (all_0_15_15 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (347) can reduce 5 to:
% 22.06/5.86 | (2518) ~ (all_0_17_17 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 2518 yields:
% 22.06/5.86 | (315) ~ (all_0_17_17 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (347) can reduce 373 to:
% 22.06/5.86 | (3) ~ (e3 = e0)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (82), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (337) ~ (all_0_13_13 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (347) can reduce 337 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (347) all_0_13_13 = e3
% 22.06/5.86 | (385) all_0_12_12 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (385) can reduce 158 to:
% 22.06/5.86 | (198) ~ (all_0_8_8 = e2)
% 22.06/5.86 |
% 22.06/5.86 | Equations (385) can reduce 42 to:
% 22.06/5.86 | (1813) ~ (all_0_20_20 = e2)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 1813 yields:
% 22.06/5.86 | (466) ~ (all_0_20_20 = e2)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (2882), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (520) all_0_22_22 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (520) can reduce 531 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (531) ~ (all_0_22_22 = e2)
% 22.06/5.86 | (4223) all_0_22_22 = e1 | all_0_22_22 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (4223), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (864) all_0_22_22 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (864) can reduce 72 to:
% 22.06/5.86 | (221) ~ (all_0_10_10 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Equations (864) can reduce 14 to:
% 22.06/5.86 | (963) ~ (all_0_20_20 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Equations (864) can reduce 531 to:
% 22.06/5.86 | (924) ~ (e2 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 924 yields:
% 22.06/5.86 | (75) ~ (e2 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Equations (864) can reduce 188 to:
% 22.06/5.86 | (157) ~ (e1 = e0)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (70), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (327) all_0_20_20 = e3
% 22.06/5.86 |
% 22.06/5.86 | Equations (327) can reduce 125 to:
% 22.06/5.86 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (327) can reduce 466 to:
% 22.06/5.86 | (111) ~ (e3 = e2)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (61), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (235) all_0_9_9 = e2
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (235,411) yields a new equation:
% 22.06/5.86 | (966) e2 = e1
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 966 yields:
% 22.06/5.86 | (742) e2 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (742) can reduce 75 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (383) ~ (all_0_9_9 = e2)
% 22.06/5.86 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (411) can reduce 383 to:
% 22.06/5.86 | (924) ~ (e2 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 924 yields:
% 22.06/5.86 | (75) ~ (e2 = e1)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (26), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (200) all_0_8_8 = e3
% 22.06/5.86 |
% 22.06/5.86 | Equations (200) can reduce 232 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.86 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (616), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (492) all_0_8_8 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (492) can reduce 198 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (198) ~ (all_0_8_8 = e2)
% 22.06/5.86 | (620) all_0_8_8 = e1 | all_0_8_8 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (65), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (399) all_0_11_11 = e3
% 22.06/5.86 |
% 22.06/5.86 | Equations (399) can reduce 124 to:
% 22.06/5.86 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (399) can reduce 23 to:
% 22.06/5.86 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (399) can reduce 129 to:
% 22.06/5.86 | (641) ~ (all_0_15_15 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 641 yields:
% 22.06/5.86 | (642) ~ (all_0_15_15 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (399) can reduce 132 to:
% 22.06/5.86 | (316) ~ (all_0_19_19 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 316 yields:
% 22.06/5.86 | (317) ~ (all_0_19_19 = e3)
% 22.06/5.86 |
% 22.06/5.86 | Equations (399) can reduce 343 to:
% 22.06/5.86 | (111) ~ (e3 = e2)
% 22.06/5.86 |
% 22.06/5.86 | Equations (399) can reduce 413 to:
% 22.06/5.86 | (163) ~ (e3 = e1)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (16), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (492) all_0_8_8 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (492) can reduce 198 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (198) ~ (all_0_8_8 = e2)
% 22.06/5.86 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (496), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (235) all_0_9_9 = e2
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (235,411) yields a new equation:
% 22.06/5.86 | (966) e2 = e1
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 966 yields:
% 22.06/5.86 | (742) e2 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (742) can reduce 75 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (383) ~ (all_0_9_9 = e2)
% 22.06/5.86 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (2041), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (730) all_0_10_10 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (730) can reduce 306 to:
% 22.06/5.86 | (345) ~ (e3 = e2)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 345 yields:
% 22.06/5.86 | (111) ~ (e3 = e2)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (52), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (331) all_0_19_19 = e3
% 22.06/5.86 |
% 22.06/5.86 | Equations (331) can reduce 317 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (317) ~ (all_0_19_19 = e3)
% 22.06/5.86 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (930), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (382) all_0_13_13 = e2
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (347,382) yields a new equation:
% 22.06/5.86 | (511) e3 = e2
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 511 yields:
% 22.06/5.86 | (352) e3 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (352) can reduce 111 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.86 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (939), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (282) all_0_17_17 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (282) can reduce 10 to:
% 22.06/5.86 | (4783) ~ (all_0_19_19 = e2)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 4783 yields:
% 22.06/5.86 | (456) ~ (all_0_19_19 = e2)
% 22.06/5.86 |
% 22.06/5.86 | Equations (282) can reduce 315 to:
% 22.06/5.86 | (345) ~ (e3 = e2)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 345 yields:
% 22.06/5.86 | (111) ~ (e3 = e2)
% 22.06/5.86 |
% 22.06/5.86 | Equations (282) can reduce 310 to:
% 22.06/5.86 | (75) ~ (e2 = e1)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (142), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (418) all_0_11_11 = e1
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (418,399) yields a new equation:
% 22.06/5.86 | (556) e3 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (556) can reduce 163 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (413) ~ (all_0_11_11 = e1)
% 22.06/5.86 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (148), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (389) all_0_12_12 = e1
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (389,385) yields a new equation:
% 22.06/5.86 | (742) e2 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (742) can reduce 75 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (307) ~ (all_0_12_12 = e1)
% 22.06/5.86 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (385) can reduce 307 to:
% 22.06/5.86 | (75) ~ (e2 = e1)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (489), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (490) all_0_15_15 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (490) can reduce 89 to:
% 22.06/5.86 | (311) ~ (all_0_19_19 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 311 yields:
% 22.06/5.86 | (312) ~ (all_0_19_19 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Equations (490) can reduce 642 to:
% 22.06/5.86 | (313) ~ (e3 = e1)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 313 yields:
% 22.06/5.86 | (163) ~ (e3 = e1)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (334), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (342) all_0_19_19 = e2
% 22.06/5.86 |
% 22.06/5.86 | Equations (342) can reduce 456 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (456) ~ (all_0_19_19 = e2)
% 22.06/5.86 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (457), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (458) all_0_19_19 = e1
% 22.06/5.86 |
% 22.06/5.86 | Equations (458) can reduce 312 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (312) ~ (all_0_19_19 = e1)
% 22.06/5.86 | (291) all_0_19_19 = e0
% 22.06/5.86 |
% 22.06/5.86 | Equations (291) can reduce 456 to:
% 22.06/5.86 | (191) ~ (e2 = e0)
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 191 yields:
% 22.06/5.86 | (29) ~ (e2 = e0)
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (37), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (200) all_0_8_8 = e3
% 22.06/5.86 |
% 22.06/5.86 | Equations (200) can reduce 232 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.86 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.86 |
% 22.06/5.86 +-Applying beta-rule and splitting (164), into two cases.
% 22.06/5.86 |-Branch one:
% 22.06/5.86 | (392) all_0_12_12 = e0
% 22.06/5.86 |
% 22.06/5.86 | Combining equations (385,392) yields a new equation:
% 22.06/5.86 | (499) e2 = e0
% 22.06/5.86 |
% 22.06/5.86 | Simplifying 499 yields:
% 22.06/5.86 | (500) e2 = e0
% 22.06/5.86 |
% 22.06/5.86 | Equations (500) can reduce 29 to:
% 22.06/5.86 | (172) $false
% 22.06/5.86 |
% 22.06/5.86 |-The branch is then unsatisfiable
% 22.06/5.86 |-Branch two:
% 22.06/5.86 | (606) ~ (all_0_12_12 = e0)
% 22.06/5.86 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 22.06/5.86 |
% 22.06/5.86 | Equations (385) can reduce 606 to:
% 22.06/5.86 | (29) ~ (e2 = e0)
% 22.06/5.86 |
% 22.06/5.87 +-Applying beta-rule and splitting (4875), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (382) all_0_13_13 = e2
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (347,382) yields a new equation:
% 22.06/5.87 | (511) e3 = e2
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 511 yields:
% 22.06/5.87 | (352) e3 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (352) can reduce 111 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (253) ~ (all_0_13_13 = e2)
% 22.06/5.87 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (4885), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (220) all_0_18_18 = e1
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (212,220) yields a new equation:
% 22.06/5.87 | (555) e3 = e1
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 555 yields:
% 22.06/5.87 | (556) e3 = e1
% 22.06/5.87 |
% 22.06/5.87 | Equations (556) can reduce 163 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.87 | (182) all_0_23_23 = e0
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (182,175) yields a new equation:
% 22.06/5.87 | (500) e2 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (500) can reduce 29 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (536) ~ (all_0_15_15 = e1)
% 22.06/5.87 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (537), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (458) all_0_19_19 = e1
% 22.06/5.87 |
% 22.06/5.87 | Equations (458) can reduce 312 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (312) ~ (all_0_19_19 = e1)
% 22.06/5.87 | (179) all_0_23_23 = e1
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (179,175) yields a new equation:
% 22.06/5.87 | (742) e2 = e1
% 22.06/5.87 |
% 22.06/5.87 | Equations (742) can reduce 75 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (344) ~ (all_0_17_17 = e2)
% 22.06/5.87 | (510) all_0_21_21 = e2
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (510,1185) yields a new equation:
% 22.06/5.87 | (499) e2 = e0
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 499 yields:
% 22.06/5.87 | (500) e2 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (500) can reduce 29 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (985) ~ (all_0_10_10 = e2)
% 22.06/5.87 | (414) all_0_11_11 = e2
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (414,399) yields a new equation:
% 22.06/5.87 | (352) e3 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (352) can reduce 111 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (204) ~ (all_0_11_11 = e3)
% 22.06/5.87 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (1358), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (726) all_0_15_15 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (726) can reduce 642 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (642) ~ (all_0_15_15 = e3)
% 22.06/5.87 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (8093), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (331) all_0_19_19 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (331) can reduce 317 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (317) ~ (all_0_19_19 = e3)
% 22.06/5.87 | (171) all_0_23_23 = e3
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (171,175) yields a new equation:
% 22.06/5.87 | (511) e3 = e2
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 511 yields:
% 22.06/5.87 | (352) e3 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (352) can reduce 111 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (210) ~ (all_0_20_20 = e3)
% 22.06/5.87 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (65), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (399) all_0_11_11 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (399) can reduce 343 to:
% 22.06/5.87 | (111) ~ (e3 = e2)
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (16), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (492) all_0_8_8 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (492) can reduce 198 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (198) ~ (all_0_8_8 = e2)
% 22.06/5.87 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (496), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (235) all_0_9_9 = e2
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (235,411) yields a new equation:
% 22.06/5.87 | (966) e2 = e1
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 966 yields:
% 22.06/5.87 | (742) e2 = e1
% 22.06/5.87 |
% 22.06/5.87 | Equations (742) can reduce 75 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (383) ~ (all_0_9_9 = e2)
% 22.06/5.87 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (2041), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (730) all_0_10_10 = e2
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (107), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (327) all_0_20_20 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (327) can reduce 210 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (210) ~ (all_0_20_20 = e3)
% 22.06/5.87 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (145), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (395) all_0_10_10 = e0
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (395,730) yields a new equation:
% 22.06/5.87 | (500) e2 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (500) can reduce 29 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (426) ~ (all_0_10_10 = e0)
% 22.06/5.87 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (730) can reduce 426 to:
% 22.06/5.87 | (29) ~ (e2 = e0)
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (330), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (335) all_0_20_20 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (335) can reduce 466 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (466) ~ (all_0_20_20 = e2)
% 22.06/5.87 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (355), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (356) all_0_21_21 = e3
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (356,1185) yields a new equation:
% 22.06/5.87 | (564) e3 = e0
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 564 yields:
% 22.06/5.87 | (323) e3 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (323) can reduce 3 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (449) ~ (all_0_21_21 = e3)
% 22.06/5.87 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (1185) can reduce 449 to:
% 22.06/5.87 | (189) ~ (e3 = e0)
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 189 yields:
% 22.06/5.87 | (3) ~ (e3 = e0)
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (63), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (322) all_0_8_8 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (322) can reduce 125 to:
% 22.06/5.87 | (634) ~ (all_0_20_20 = e0)
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 634 yields:
% 22.06/5.87 | (186) ~ (all_0_20_20 = e0)
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (467), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (952) all_0_20_20 = e1
% 22.06/5.87 |
% 22.06/5.87 | Equations (952) can reduce 963 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (963) ~ (all_0_20_20 = e1)
% 22.06/5.87 | (613) all_0_20_20 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (613) can reduce 186 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (199) ~ (all_0_8_8 = e0)
% 22.06/5.87 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (432), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (424) all_0_9_9 = e0
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (424,411) yields a new equation:
% 22.06/5.87 | (543) e1 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (543) can reduce 157 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (372) ~ (all_0_9_9 = e0)
% 22.06/5.87 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (436), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (395) all_0_10_10 = e0
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (395,730) yields a new equation:
% 22.06/5.87 | (500) e2 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (500) can reduce 29 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (426) ~ (all_0_10_10 = e0)
% 22.06/5.87 | (247) all_0_11_11 = e0
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (247,399) yields a new equation:
% 22.06/5.87 | (323) e3 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (323) can reduce 3 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (985) ~ (all_0_10_10 = e2)
% 22.06/5.87 | (414) all_0_11_11 = e2
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (399,414) yields a new equation:
% 22.06/5.87 | (511) e3 = e2
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 511 yields:
% 22.06/5.87 | (352) e3 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (352) can reduce 111 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (204) ~ (all_0_11_11 = e3)
% 22.06/5.87 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (107), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (327) all_0_20_20 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (327) can reduce 210 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (210) ~ (all_0_20_20 = e3)
% 22.06/5.87 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (95), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (399) all_0_11_11 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (399) can reduce 204 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (204) ~ (all_0_11_11 = e3)
% 22.06/5.87 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (402), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (414) all_0_11_11 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (414) can reduce 343 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (343) ~ (all_0_11_11 = e2)
% 22.06/5.87 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (417), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (418) all_0_11_11 = e1
% 22.06/5.87 |
% 22.06/5.87 | Equations (418) can reduce 413 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (413) ~ (all_0_11_11 = e1)
% 22.06/5.87 | (247) all_0_11_11 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (247) can reduce 124 to:
% 22.06/5.87 | (199) ~ (all_0_8_8 = e0)
% 22.06/5.87 |
% 22.06/5.87 | Equations (247) can reduce 23 to:
% 22.06/5.87 | (426) ~ (all_0_10_10 = e0)
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (68), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (730) all_0_10_10 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (730) can reduce 24 to:
% 22.06/5.87 | (198) ~ (all_0_8_8 = e2)
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (26), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (200) all_0_8_8 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (200) can reduce 198 to:
% 22.06/5.87 | (111) ~ (e3 = e2)
% 22.06/5.87 |
% 22.06/5.87 | Equations (200) can reduce 196 to:
% 22.06/5.87 | (163) ~ (e3 = e1)
% 22.06/5.87 |
% 22.06/5.87 | Equations (200) can reduce 199 to:
% 22.06/5.87 | (3) ~ (e3 = e0)
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (355), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (356) all_0_21_21 = e3
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (1185,356) yields a new equation:
% 22.06/5.87 | (323) e3 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (323) can reduce 3 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (449) ~ (all_0_21_21 = e3)
% 22.06/5.87 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (450), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (560) all_0_22_22 = e3
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (864,560) yields a new equation:
% 22.06/5.87 | (556) e3 = e1
% 22.06/5.87 |
% 22.06/5.87 | Equations (556) can reduce 163 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (319) ~ (all_0_22_22 = e3)
% 22.06/5.87 | (171) all_0_23_23 = e3
% 22.06/5.87 |
% 22.06/5.87 | Combining equations (171,175) yields a new equation:
% 22.06/5.87 | (511) e3 = e2
% 22.06/5.87 |
% 22.06/5.87 | Simplifying 511 yields:
% 22.06/5.87 | (352) e3 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (352) can reduce 111 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (232) ~ (all_0_8_8 = e3)
% 22.06/5.87 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (616), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (492) all_0_8_8 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (492) can reduce 198 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (198) ~ (all_0_8_8 = e2)
% 22.06/5.87 | (620) all_0_8_8 = e1 | all_0_8_8 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (620), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (621) all_0_8_8 = e1
% 22.06/5.87 |
% 22.06/5.87 | Equations (621) can reduce 196 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (196) ~ (all_0_8_8 = e1)
% 22.06/5.87 | (322) all_0_8_8 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (322) can reduce 199 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (985) ~ (all_0_10_10 = e2)
% 22.06/5.87 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (50), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (695) all_0_10_10 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (695) can reduce 306 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.87 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (1231), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (730) all_0_10_10 = e2
% 22.06/5.87 |
% 22.06/5.87 | Equations (730) can reduce 985 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (985) ~ (all_0_10_10 = e2)
% 22.06/5.87 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (1235), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (242) all_0_10_10 = e1
% 22.06/5.87 |
% 22.06/5.87 | Equations (242) can reduce 221 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (221) ~ (all_0_10_10 = e1)
% 22.06/5.87 | (395) all_0_10_10 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (395) can reduce 426 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (975) ~ (all_0_22_22 = e1)
% 22.06/5.87 | (583) all_0_22_22 = e0
% 22.06/5.87 |
% 22.06/5.87 | Equations (583) can reduce 188 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (337) ~ (all_0_13_13 = e3)
% 22.06/5.87 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 22.06/5.87 |
% 22.06/5.87 +-Applying beta-rule and splitting (350), into two cases.
% 22.06/5.87 |-Branch one:
% 22.06/5.87 | (360) all_0_17_17 = e3
% 22.06/5.87 |
% 22.06/5.87 | Equations (360) can reduce 315 to:
% 22.06/5.87 | (172) $false
% 22.06/5.87 |
% 22.06/5.87 |-The branch is then unsatisfiable
% 22.06/5.87 |-Branch two:
% 22.06/5.87 | (315) ~ (all_0_17_17 = e3)
% 22.06/5.88 | (356) all_0_21_21 = e3
% 22.06/5.88 |
% 22.06/5.88 | Combining equations (1185,356) yields a new equation:
% 22.06/5.88 | (323) e3 = e0
% 22.06/5.88 |
% 22.06/5.88 | Equations (323) can reduce 3 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (423) ~ (all_0_9_9 = e1)
% 22.06/5.88 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (546), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (444) all_0_13_13 = e1
% 22.06/5.88 |
% 22.06/5.88 | Equations (444) can reduce 167 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (167) ~ (all_0_13_13 = e1)
% 22.06/5.88 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (550), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (368) all_0_17_17 = e1
% 22.06/5.88 |
% 22.06/5.88 | Equations (368) can reduce 310 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (310) ~ (all_0_17_17 = e1)
% 22.06/5.88 | (554) all_0_21_21 = e1
% 22.06/5.88 |
% 22.06/5.88 | Combining equations (554,1185) yields a new equation:
% 22.06/5.88 | (542) e1 = e0
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 542 yields:
% 22.06/5.88 | (543) e1 = e0
% 22.06/5.88 |
% 22.06/5.88 | Equations (543) can reduce 157 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (492) all_0_8_8 = e2
% 22.06/5.88 | (338) all_0_9_9 = e3
% 22.06/5.88 |
% 22.06/5.88 | Equations (492,338) can reduce 116 to:
% 22.06/5.88 | (345) ~ (e3 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 345 yields:
% 22.06/5.88 | (111) ~ (e3 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (492) can reduce 124 to:
% 22.06/5.88 | (1210) ~ (all_0_11_11 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 1210 yields:
% 22.06/5.88 | (343) ~ (all_0_11_11 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (492) can reduce 121 to:
% 22.06/5.88 | (5415) ~ (all_0_16_16 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 5415 yields:
% 22.06/5.88 | (688) ~ (all_0_16_16 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (492) can reduce 125 to:
% 22.06/5.88 | (1813) ~ (all_0_20_20 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 1813 yields:
% 22.06/5.88 | (466) ~ (all_0_20_20 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (338) can reduce 166 to:
% 22.06/5.88 | (1214) ~ (all_0_10_10 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 1214 yields:
% 22.06/5.88 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Equations (338) can reduce 54 to:
% 22.06/5.88 | (203) ~ (all_0_11_11 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 203 yields:
% 22.06/5.88 | (204) ~ (all_0_11_11 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Equations (338) can reduce 136 to:
% 22.06/5.88 | (2518) ~ (all_0_17_17 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 2518 yields:
% 22.06/5.88 | (315) ~ (all_0_17_17 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Equations (338) can reduce 372 to:
% 22.06/5.88 | (3) ~ (e3 = e0)
% 22.06/5.88 |
% 22.06/5.88 | From (492) and (108) follows:
% 22.06/5.88 | (9532) op(e2, e3) = all_0_7_7
% 22.06/5.88 |
% 22.06/5.88 | From (492) and (44) follows:
% 22.06/5.88 | (2668) op(e3, e3) = e2
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (21), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (411) all_0_9_9 = e1
% 22.06/5.88 |
% 22.06/5.88 | Combining equations (338,411) yields a new equation:
% 22.06/5.88 | (555) e3 = e1
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 555 yields:
% 22.06/5.88 | (556) e3 = e1
% 22.06/5.88 |
% 22.06/5.88 | Equations (556) can reduce 163 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (423) ~ (all_0_9_9 = e1)
% 22.06/5.88 | (546) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (546), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (444) all_0_13_13 = e1
% 22.06/5.88 |
% 22.06/5.88 | Equations (444) can reduce 167 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (167) ~ (all_0_13_13 = e1)
% 22.06/5.88 | (550) all_0_17_17 = e1 | all_0_21_21 = e1
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (550), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (368) all_0_17_17 = e1
% 22.06/5.88 |
% 22.06/5.88 | Equations (368) can reduce 5 to:
% 22.06/5.88 | (167) ~ (all_0_13_13 = e1)
% 22.06/5.88 |
% 22.06/5.88 | Equations (368) can reduce 144 to:
% 22.06/5.88 | (770) ~ (all_0_16_16 = e1)
% 22.06/5.88 |
% 22.06/5.88 | Equations (368) can reduce 80 to:
% 22.06/5.88 | (7898) ~ (all_0_18_18 = e1)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 7898 yields:
% 22.06/5.88 | (275) ~ (all_0_18_18 = e1)
% 22.06/5.88 |
% 22.06/5.88 | Equations (368) can reduce 10 to:
% 22.06/5.88 | (311) ~ (all_0_19_19 = e1)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 311 yields:
% 22.06/5.88 | (312) ~ (all_0_19_19 = e1)
% 22.06/5.88 |
% 22.06/5.88 | Equations (368) can reduce 315 to:
% 22.06/5.88 | (313) ~ (e3 = e1)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 313 yields:
% 22.06/5.88 | (163) ~ (e3 = e1)
% 22.06/5.88 |
% 22.06/5.88 | Equations (368) can reduce 1184 to:
% 22.06/5.88 | (157) ~ (e1 = e0)
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (94), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (197) ~ (all_0_18_18 = e0)
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (61), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (235) all_0_9_9 = e2
% 22.06/5.88 |
% 22.06/5.88 | Combining equations (338,235) yields a new equation:
% 22.06/5.88 | (511) e3 = e2
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 511 yields:
% 22.06/5.88 | (352) e3 = e2
% 22.06/5.88 |
% 22.06/5.88 | Equations (352) can reduce 111 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (383) ~ (all_0_9_9 = e2)
% 22.06/5.88 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (930), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (382) all_0_13_13 = e2
% 22.06/5.88 |
% 22.06/5.88 | Equations (382) can reduce 93 to:
% 22.06/5.88 | (336) ~ (all_0_12_12 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (382) can reduce 135 to:
% 22.06/5.88 | (724) ~ (all_0_15_15 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 724 yields:
% 22.06/5.88 | (725) ~ (all_0_15_15 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (382) can reduce 167 to:
% 22.06/5.88 | (75) ~ (e2 = e1)
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (127), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (211) ~ (all_0_18_18 = e3)
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (113), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (685) all_0_16_16 = e2
% 22.06/5.88 |
% 22.06/5.88 | Equations (685) can reduce 688 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (688) ~ (all_0_16_16 = e2)
% 22.06/5.88 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (689), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (282) all_0_17_17 = e2
% 22.06/5.88 |
% 22.06/5.88 | Combining equations (282,368) yields a new equation:
% 22.06/5.88 | (966) e2 = e1
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 966 yields:
% 22.06/5.88 | (742) e2 = e1
% 22.06/5.88 |
% 22.06/5.88 | Equations (742) can reduce 75 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (344) ~ (all_0_17_17 = e2)
% 22.06/5.88 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (694), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (216) all_0_18_18 = e2
% 22.06/5.88 |
% 22.06/5.88 | Equations (216) can reduce 51 to:
% 22.06/5.88 | (985) ~ (all_0_10_10 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (216) can reduce 81 to:
% 22.06/5.88 | (521) ~ (all_0_14_14 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (216) can reduce 28 to:
% 22.06/5.88 | (688) ~ (all_0_16_16 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (216) can reduce 43 to:
% 22.06/5.88 | (4783) ~ (all_0_19_19 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 4783 yields:
% 22.06/5.88 | (456) ~ (all_0_19_19 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (216) can reduce 119 to:
% 22.06/5.88 | (2581) ~ (all_0_22_22 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 2581 yields:
% 22.06/5.88 | (531) ~ (all_0_22_22 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (216) can reduce 211 to:
% 22.06/5.88 | (345) ~ (e3 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 345 yields:
% 22.06/5.88 | (111) ~ (e3 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (216) can reduce 275 to:
% 22.06/5.88 | (75) ~ (e2 = e1)
% 22.06/5.88 |
% 22.06/5.88 | Equations (216) can reduce 197 to:
% 22.06/5.88 | (29) ~ (e2 = e0)
% 22.06/5.88 |
% 22.06/5.88 | From (216) and (115) follows:
% 22.06/5.88 | (9589) op(e2, e1) = all_0_3_3
% 22.06/5.88 |
% 22.06/5.88 | From (216) and (110) follows:
% 22.06/5.88 | (3240) op(e1, e1) = e2
% 22.06/5.88 |
% 22.06/5.88 | Instantiating formula (152) with e2, e3, all_0_7_7, all_0_12_12 and discharging atoms op(e2, e3) = all_0_7_7, op(e2, e3) = all_0_12_12, yields:
% 22.06/5.88 | (9591) all_0_7_7 = all_0_12_12
% 22.06/5.88 |
% 22.06/5.88 | Instantiating formula (152) with e2, e1, all_0_3_3, all_0_14_14 and discharging atoms op(e2, e1) = all_0_3_3, op(e2, e1) = all_0_14_14, yields:
% 22.06/5.88 | (9592) all_0_3_3 = all_0_14_14
% 22.06/5.88 |
% 22.06/5.88 | From (9592) and (18) follows:
% 22.06/5.88 | (9593) op(all_0_14_14, e1) = all_0_2_2
% 22.06/5.88 |
% 22.06/5.88 | From (9591) and (6) follows:
% 22.06/5.88 | (9594) op(all_0_12_12, e3) = all_0_6_6
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (15), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (1800) ~ (all_0_6_6 = e1)
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (13), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (3192) ~ (all_0_3_3 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Equations (9592) can reduce 3192 to:
% 22.06/5.88 | (308) ~ (all_0_14_14 = e3)
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (27), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (695) all_0_10_10 = e3
% 22.06/5.88 |
% 22.06/5.88 | Equations (695) can reduce 306 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.88 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (698), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (516) all_0_14_14 = e3
% 22.06/5.88 |
% 22.06/5.88 | Equations (516) can reduce 308 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (308) ~ (all_0_14_14 = e3)
% 22.06/5.88 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 22.06/5.88 |
% 22.06/5.88 +-Applying beta-rule and splitting (703), into two cases.
% 22.06/5.88 |-Branch one:
% 22.06/5.88 | (212) all_0_18_18 = e3
% 22.06/5.88 |
% 22.06/5.88 | Combining equations (212,216) yields a new equation:
% 22.06/5.88 | (511) e3 = e2
% 22.06/5.88 |
% 22.06/5.88 | Simplifying 511 yields:
% 22.06/5.88 | (352) e3 = e2
% 22.06/5.88 |
% 22.06/5.88 | Equations (352) can reduce 111 to:
% 22.06/5.88 | (172) $false
% 22.06/5.88 |
% 22.06/5.88 |-The branch is then unsatisfiable
% 22.06/5.88 |-Branch two:
% 22.06/5.88 | (211) ~ (all_0_18_18 = e3)
% 22.06/5.88 | (560) all_0_22_22 = e3
% 22.06/5.88 |
% 22.06/5.88 | Equations (560) can reduce 72 to:
% 22.06/5.88 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Equations (560) can reduce 160 to:
% 22.06/5.88 | (308) ~ (all_0_14_14 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Equations (560) can reduce 14 to:
% 22.06/5.88 | (210) ~ (all_0_20_20 = e3)
% 22.06/5.88 |
% 22.06/5.88 | Equations (560) can reduce 531 to:
% 22.06/5.88 | (111) ~ (e3 = e2)
% 22.06/5.88 |
% 22.06/5.88 | Equations (560) can reduce 188 to:
% 22.06/5.88 | (3) ~ (e3 = e0)
% 22.06/5.88 |
% 22.06/5.88 | From (560) and (8) follows:
% 22.06/5.88 | (9617) op(e0, e1) = e3
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (128), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (952) all_0_20_20 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (952) can reduce 42 to:
% 22.06/5.89 | (307) ~ (all_0_12_12 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Equations (952) can reduce 101 to:
% 22.06/5.89 | (770) ~ (all_0_16_16 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Equations (952) can reduce 210 to:
% 22.06/5.89 | (313) ~ (e3 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Simplifying 313 yields:
% 22.06/5.89 | (163) ~ (e3 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Equations (952) can reduce 466 to:
% 22.06/5.89 | (924) ~ (e2 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Simplifying 924 yields:
% 22.06/5.89 | (75) ~ (e2 = e1)
% 22.06/5.89 |
% 22.06/5.89 | From (952) and (87) follows:
% 22.06/5.89 | (9625) op(e0, e3) = e1
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (53), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (9626) ~ (all_0_2_2 = e3)
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (49), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (242) all_0_10_10 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (242) can reduce 23 to:
% 22.06/5.89 | (412) ~ (all_0_11_11 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Simplifying 412 yields:
% 22.06/5.89 | (413) ~ (all_0_11_11 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Equations (242) can reduce 985 to:
% 22.06/5.89 | (924) ~ (e2 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Simplifying 924 yields:
% 22.06/5.89 | (75) ~ (e2 = e1)
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (148), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (389) all_0_12_12 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (389) can reduce 307 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (307) ~ (all_0_12_12 = e1)
% 22.06/5.89 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (1399), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (444) all_0_13_13 = e1
% 22.06/5.89 |
% 22.06/5.89 | Combining equations (444,382) yields a new equation:
% 22.06/5.89 | (742) e2 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (742) can reduce 75 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (167) ~ (all_0_13_13 = e1)
% 22.06/5.89 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (382) can reduce 167 to:
% 22.06/5.89 | (75) ~ (e2 = e1)
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (134), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (516) all_0_14_14 = e3
% 22.06/5.89 |
% 22.06/5.89 | Equations (516) can reduce 308 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (308) ~ (all_0_14_14 = e3)
% 22.06/5.89 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (142), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (418) all_0_11_11 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (418) can reduce 413 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (413) ~ (all_0_11_11 = e1)
% 22.06/5.89 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (489), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (490) all_0_15_15 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (490) can reduce 71 to:
% 22.06/5.89 | (222) ~ (all_0_14_14 = e1)
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (519), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (522) all_0_14_14 = e2
% 22.06/5.89 |
% 22.06/5.89 | Equations (522) can reduce 521 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (521) ~ (all_0_14_14 = e2)
% 22.06/5.89 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (525), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (262) all_0_14_14 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (262) can reduce 222 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (222) ~ (all_0_14_14 = e1)
% 22.06/5.89 | (529) all_0_14_14 = e0
% 22.06/5.89 |
% 22.06/5.89 | From (529) and (9593) follows:
% 22.06/5.89 | (6953) op(e0, e1) = all_0_2_2
% 22.06/5.89 |
% 22.06/5.89 | Instantiating formula (152) with e0, e1, all_0_2_2, e3 and discharging atoms op(e0, e1) = all_0_2_2, op(e0, e1) = e3, yields:
% 22.06/5.89 | (9661) all_0_2_2 = e3
% 22.06/5.89 |
% 22.06/5.89 | Equations (9661) can reduce 9626 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (536) ~ (all_0_15_15 = e1)
% 22.06/5.89 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (537), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (458) all_0_19_19 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (458) can reduce 312 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (312) ~ (all_0_19_19 = e1)
% 22.06/5.89 | (179) all_0_23_23 = e1
% 22.06/5.89 |
% 22.06/5.89 | Combining equations (179,175) yields a new equation:
% 22.06/5.89 | (742) e2 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (742) can reduce 75 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (221) ~ (all_0_10_10 = e1)
% 22.06/5.89 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (50), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (695) all_0_10_10 = e3
% 22.06/5.89 |
% 22.06/5.89 | Equations (695) can reduce 306 to:
% 22.06/5.89 | (172) $false
% 22.06/5.89 |
% 22.06/5.89 |-The branch is then unsatisfiable
% 22.06/5.89 |-Branch two:
% 22.06/5.89 | (306) ~ (all_0_10_10 = e3)
% 22.06/5.89 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (745), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (262) all_0_14_14 = e1
% 22.06/5.89 |
% 22.06/5.89 | Equations (262) can reduce 40 to:
% 22.06/5.89 | (221) ~ (all_0_10_10 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Equations (262) can reduce 60 to:
% 22.06/5.89 | (307) ~ (all_0_12_12 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Equations (262) can reduce 308 to:
% 22.06/5.89 | (313) ~ (e3 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Simplifying 313 yields:
% 22.06/5.89 | (163) ~ (e3 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Equations (262) can reduce 521 to:
% 22.06/5.89 | (924) ~ (e2 = e1)
% 22.06/5.89 |
% 22.06/5.89 | Simplifying 924 yields:
% 22.06/5.89 | (75) ~ (e2 = e1)
% 22.06/5.89 |
% 22.06/5.89 | From (262) and (9593) follows:
% 22.06/5.89 | (2971) op(e1, e1) = all_0_2_2
% 22.06/5.89 |
% 22.06/5.89 +-Applying beta-rule and splitting (1231), into two cases.
% 22.06/5.89 |-Branch one:
% 22.06/5.89 | (730) all_0_10_10 = e2
% 22.06/5.89 |
% 22.38/5.89 | Equations (730) can reduce 985 to:
% 22.38/5.89 | (172) $false
% 22.38/5.89 |
% 22.38/5.89 |-The branch is then unsatisfiable
% 22.38/5.89 |-Branch two:
% 22.38/5.89 | (985) ~ (all_0_10_10 = e2)
% 22.38/5.89 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 22.38/5.89 |
% 22.38/5.89 +-Applying beta-rule and splitting (47), into two cases.
% 22.38/5.89 |-Branch one:
% 22.38/5.89 | (621) all_0_8_8 = e1
% 22.38/5.89 |
% 22.38/5.89 | Combining equations (621,492) yields a new equation:
% 22.38/5.89 | (742) e2 = e1
% 22.38/5.89 |
% 22.38/5.89 | Equations (742) can reduce 75 to:
% 22.38/5.89 | (172) $false
% 22.38/5.89 |
% 22.38/5.89 |-The branch is then unsatisfiable
% 22.38/5.89 |-Branch two:
% 22.38/5.89 | (196) ~ (all_0_8_8 = e1)
% 22.38/5.89 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.38/5.89 |
% 22.38/5.89 +-Applying beta-rule and splitting (142), into two cases.
% 22.38/5.89 |-Branch one:
% 22.38/5.89 | (418) all_0_11_11 = e1
% 22.38/5.89 |
% 22.38/5.89 | Equations (418) can reduce 23 to:
% 22.38/5.89 | (221) ~ (all_0_10_10 = e1)
% 22.38/5.89 |
% 22.38/5.89 | Equations (418) can reduce 129 to:
% 22.38/5.89 | (4601) ~ (all_0_15_15 = e1)
% 22.38/5.89 |
% 22.38/5.89 | Simplifying 4601 yields:
% 22.38/5.89 | (536) ~ (all_0_15_15 = e1)
% 22.38/5.89 |
% 22.38/5.89 | Equations (418) can reduce 132 to:
% 22.38/5.89 | (311) ~ (all_0_19_19 = e1)
% 22.38/5.89 |
% 22.38/5.89 | Simplifying 311 yields:
% 22.38/5.89 | (312) ~ (all_0_19_19 = e1)
% 22.38/5.89 |
% 22.38/5.89 | Equations (418) can reduce 204 to:
% 22.38/5.89 | (313) ~ (e3 = e1)
% 22.38/5.89 |
% 22.38/5.89 | Simplifying 313 yields:
% 22.38/5.89 | (163) ~ (e3 = e1)
% 22.38/5.89 |
% 22.38/5.89 | Equations (418) can reduce 343 to:
% 22.38/5.89 | (924) ~ (e2 = e1)
% 22.38/5.89 |
% 22.38/5.89 | Simplifying 924 yields:
% 22.38/5.89 | (75) ~ (e2 = e1)
% 22.38/5.89 |
% 22.38/5.89 +-Applying beta-rule and splitting (1235), into two cases.
% 22.38/5.89 |-Branch one:
% 22.38/5.89 | (242) all_0_10_10 = e1
% 22.38/5.89 |
% 22.38/5.89 | Equations (242) can reduce 221 to:
% 22.38/5.89 | (172) $false
% 22.38/5.89 |
% 22.38/5.89 |-The branch is then unsatisfiable
% 22.38/5.89 |-Branch two:
% 22.38/5.89 | (221) ~ (all_0_10_10 = e1)
% 22.38/5.89 | (395) all_0_10_10 = e0
% 22.38/5.89 |
% 22.38/5.89 | Equations (395) can reduce 306 to:
% 22.38/5.89 | (189) ~ (e3 = e0)
% 22.38/5.89 |
% 22.38/5.89 | Simplifying 189 yields:
% 22.38/5.89 | (3) ~ (e3 = e0)
% 22.38/5.89 |
% 22.38/5.89 | Equations (395) can reduce 985 to:
% 22.38/5.89 | (191) ~ (e2 = e0)
% 22.38/5.89 |
% 22.38/5.89 | Simplifying 191 yields:
% 22.38/5.89 | (29) ~ (e2 = e0)
% 22.38/5.89 |
% 22.38/5.89 | Equations (395) can reduce 221 to:
% 22.38/5.89 | (193) ~ (e1 = e0)
% 22.38/5.89 |
% 22.38/5.89 | Simplifying 193 yields:
% 22.38/5.89 | (157) ~ (e1 = e0)
% 22.38/5.89 |
% 22.38/5.89 | Instantiating formula (152) with e1, e1, all_0_2_2, e2 and discharging atoms op(e1, e1) = all_0_2_2, op(e1, e1) = e2, yields:
% 22.38/5.89 | (3189) all_0_2_2 = e2
% 22.38/5.89 |
% 22.38/5.89 | Equations (3189) can reduce 9626 to:
% 22.38/5.89 | (345) ~ (e3 = e2)
% 22.38/5.89 |
% 22.38/5.89 | Simplifying 345 yields:
% 22.38/5.89 | (111) ~ (e3 = e2)
% 22.38/5.89 |
% 22.38/5.89 +-Applying beta-rule and splitting (77), into two cases.
% 22.38/5.89 |-Branch one:
% 22.38/5.89 | (277) all_0_16_16 = e3
% 22.38/5.89 |
% 22.38/5.89 +-Applying beta-rule and splitting (117), into two cases.
% 22.38/5.89 |-Branch one:
% 22.38/5.89 | (608) all_0_16_16 = e0
% 22.38/5.89 |
% 22.38/5.89 | Combining equations (277,608) yields a new equation:
% 22.38/5.89 | (564) e3 = e0
% 22.38/5.89 |
% 22.38/5.89 | Simplifying 564 yields:
% 22.38/5.89 | (323) e3 = e0
% 22.38/5.89 |
% 22.38/5.89 | Equations (323) can reduce 3 to:
% 22.38/5.89 | (172) $false
% 22.38/5.89 |
% 22.38/5.89 |-The branch is then unsatisfiable
% 22.38/5.89 |-Branch two:
% 22.38/5.89 | (612) ~ (all_0_16_16 = e0)
% 22.38/5.89 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 22.38/5.89 |
% 22.38/5.89 | Equations (277) can reduce 612 to:
% 22.38/5.89 | (3) ~ (e3 = e0)
% 22.38/5.89 |
% 22.38/5.89 +-Applying beta-rule and splitting (91), into two cases.
% 22.38/5.89 |-Branch one:
% 22.38/5.89 | (322) all_0_8_8 = e0
% 22.38/5.89 |
% 22.38/5.89 | Combining equations (322,492) yields a new equation:
% 22.38/5.89 | (500) e2 = e0
% 22.38/5.89 |
% 22.38/5.89 | Equations (500) can reduce 29 to:
% 22.38/5.89 | (172) $false
% 22.38/5.89 |
% 22.38/5.89 |-The branch is then unsatisfiable
% 22.38/5.89 |-Branch two:
% 22.38/5.89 | (199) ~ (all_0_8_8 = e0)
% 22.38/5.89 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 22.38/5.89 |
% 22.38/5.89 +-Applying beta-rule and splitting (153), into two cases.
% 22.38/5.89 |-Branch one:
% 22.38/5.89 | (247) all_0_11_11 = e0
% 22.38/5.89 |
% 22.38/5.89 | Combining equations (247,418) yields a new equation:
% 22.38/5.89 | (543) e1 = e0
% 22.38/5.89 |
% 22.38/5.89 | Equations (543) can reduce 157 to:
% 22.38/5.89 | (172) $false
% 22.38/5.89 |
% 22.38/5.89 |-The branch is then unsatisfiable
% 22.38/5.89 |-Branch two:
% 22.38/5.89 | (183) ~ (all_0_11_11 = e0)
% 22.38/5.89 | (9734) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 22.38/5.89 |
% 22.38/5.89 | Equations (418) can reduce 183 to:
% 22.38/5.89 | (157) ~ (e1 = e0)
% 22.38/5.89 |
% 22.38/5.89 +-Applying beta-rule and splitting (164), into two cases.
% 22.38/5.89 |-Branch one:
% 22.38/5.89 | (392) all_0_12_12 = e0
% 22.38/5.89 |
% 22.38/5.89 | From (392) and (9594) follows:
% 22.38/5.89 | (9737) op(e0, e3) = all_0_6_6
% 22.38/5.89 |
% 22.38/5.89 | Instantiating formula (152) with e0, e3, all_0_6_6, e1 and discharging atoms op(e0, e3) = all_0_6_6, op(e0, e3) = e1, yields:
% 22.38/5.89 | (2170) all_0_6_6 = e1
% 22.38/5.90 |
% 22.38/5.90 | Equations (2170) can reduce 1800 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (606) ~ (all_0_12_12 = e0)
% 22.38/5.90 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (326), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (392) all_0_12_12 = e0
% 22.38/5.90 |
% 22.38/5.90 | Equations (392) can reduce 606 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (606) ~ (all_0_12_12 = e0)
% 22.38/5.90 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (607), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (608) all_0_16_16 = e0
% 22.38/5.90 |
% 22.38/5.90 | Combining equations (277,608) yields a new equation:
% 22.38/5.90 | (564) e3 = e0
% 22.38/5.90 |
% 22.38/5.90 | Simplifying 564 yields:
% 22.38/5.90 | (323) e3 = e0
% 22.38/5.90 |
% 22.38/5.90 | Equations (323) can reduce 3 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (612) ~ (all_0_16_16 = e0)
% 22.38/5.90 | (613) all_0_20_20 = e0
% 22.38/5.90 |
% 22.38/5.90 | Combining equations (952,613) yields a new equation:
% 22.38/5.90 | (542) e1 = e0
% 22.38/5.90 |
% 22.38/5.90 | Simplifying 542 yields:
% 22.38/5.90 | (543) e1 = e0
% 22.38/5.90 |
% 22.38/5.90 | Equations (543) can reduce 157 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (208) ~ (all_0_16_16 = e3)
% 22.38/5.90 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (97), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (277) all_0_16_16 = e3
% 22.38/5.90 |
% 22.38/5.90 | Equations (277) can reduce 208 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (208) ~ (all_0_16_16 = e3)
% 22.38/5.90 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (149), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (200) all_0_8_8 = e3
% 22.38/5.90 |
% 22.38/5.90 | Combining equations (200,492) yields a new equation:
% 22.38/5.90 | (511) e3 = e2
% 22.38/5.90 |
% 22.38/5.90 | Simplifying 511 yields:
% 22.38/5.90 | (352) e3 = e2
% 22.38/5.90 |
% 22.38/5.90 | Equations (352) can reduce 111 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (232) ~ (all_0_8_8 = e3)
% 22.38/5.90 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 22.38/5.90 |
% 22.38/5.90 | Equations (492) can reduce 232 to:
% 22.38/5.90 | (345) ~ (e3 = e2)
% 22.38/5.90 |
% 22.38/5.90 | Simplifying 345 yields:
% 22.38/5.90 | (111) ~ (e3 = e2)
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (1829), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (254) all_0_12_12 = e3
% 22.38/5.90 |
% 22.38/5.90 | Equations (254) can reduce 336 to:
% 22.38/5.90 | (111) ~ (e3 = e2)
% 22.38/5.90 |
% 22.38/5.90 | Equations (254) can reduce 307 to:
% 22.38/5.90 | (163) ~ (e3 = e1)
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (1015), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (360) all_0_17_17 = e3
% 22.38/5.90 |
% 22.38/5.90 | Combining equations (368,360) yields a new equation:
% 22.38/5.90 | (556) e3 = e1
% 22.38/5.90 |
% 22.38/5.90 | Equations (556) can reduce 163 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (315) ~ (all_0_17_17 = e3)
% 22.38/5.90 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (1810), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (685) all_0_16_16 = e2
% 22.38/5.90 |
% 22.38/5.90 | Equations (685) can reduce 688 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (688) ~ (all_0_16_16 = e2)
% 22.38/5.90 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (1031), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (212) all_0_18_18 = e3
% 22.38/5.90 |
% 22.38/5.90 | Combining equations (216,212) yields a new equation:
% 22.38/5.90 | (352) e3 = e2
% 22.38/5.90 |
% 22.38/5.90 | Equations (352) can reduce 111 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (211) ~ (all_0_18_18 = e3)
% 22.38/5.90 | (331) all_0_19_19 = e3
% 22.38/5.90 |
% 22.38/5.90 | Equations (331) can reduce 89 to:
% 22.38/5.90 | (642) ~ (all_0_15_15 = e3)
% 22.38/5.90 |
% 22.38/5.90 | Equations (331) can reduce 456 to:
% 22.38/5.90 | (111) ~ (e3 = e2)
% 22.38/5.90 |
% 22.38/5.90 | Equations (331) can reduce 312 to:
% 22.38/5.90 | (163) ~ (e3 = e1)
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (2108), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (305) all_0_16_16 = e1
% 22.38/5.90 |
% 22.38/5.90 | Equations (305) can reduce 770 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (770) ~ (all_0_16_16 = e1)
% 22.38/5.90 | (608) all_0_16_16 = e0
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (139), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (726) all_0_15_15 = e3
% 22.38/5.90 |
% 22.38/5.90 | Equations (726) can reduce 642 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (642) ~ (all_0_15_15 = e3)
% 22.38/5.90 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (729), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (752) all_0_15_15 = e2
% 22.38/5.90 |
% 22.38/5.90 | Equations (752) can reduce 725 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (725) ~ (all_0_15_15 = e2)
% 22.38/5.90 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (755), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (490) all_0_15_15 = e1
% 22.38/5.90 |
% 22.38/5.90 | Equations (490) can reduce 536 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.90 |-Branch two:
% 22.38/5.90 | (536) ~ (all_0_15_15 = e1)
% 22.38/5.90 | (270) all_0_15_15 = e0
% 22.38/5.90 |
% 22.38/5.90 | Equations (270) can reduce 642 to:
% 22.38/5.90 | (189) ~ (e3 = e0)
% 22.38/5.90 |
% 22.38/5.90 | Simplifying 189 yields:
% 22.38/5.90 | (3) ~ (e3 = e0)
% 22.38/5.90 |
% 22.38/5.90 | Equations (270) can reduce 536 to:
% 22.38/5.90 | (193) ~ (e1 = e0)
% 22.38/5.90 |
% 22.38/5.90 | Simplifying 193 yields:
% 22.38/5.90 | (157) ~ (e1 = e0)
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (99), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (223), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (224), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (225), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (226), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (227), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (228), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (229), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.38/5.90 |
% 22.38/5.90 +-Applying beta-rule and splitting (230), into two cases.
% 22.38/5.90 |-Branch one:
% 22.38/5.90 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.38/5.90 |
% 22.38/5.90 | Applying alpha-rule on (231) yields:
% 22.38/5.90 | (232) ~ (all_0_8_8 = e3)
% 22.38/5.90 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.38/5.90 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.38/5.90 | (235) all_0_9_9 = e2
% 22.38/5.90 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.38/5.90 |
% 22.38/5.90 | Combining equations (235,338) yields a new equation:
% 22.38/5.90 | (352) e3 = e2
% 22.38/5.90 |
% 22.38/5.90 | Equations (352) can reduce 111 to:
% 22.38/5.90 | (172) $false
% 22.38/5.90 |
% 22.38/5.90 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.38/5.91 |
% 22.38/5.91 | Applying alpha-rule on (238) yields:
% 22.38/5.91 | (232) ~ (all_0_8_8 = e3)
% 22.38/5.91 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.38/5.91 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.38/5.91 | (242) all_0_10_10 = e1
% 22.38/5.91 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (395,242) yields a new equation:
% 22.38/5.91 | (543) e1 = e0
% 22.38/5.91 |
% 22.38/5.91 | Equations (543) can reduce 157 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.38/5.91 |
% 22.38/5.91 | Applying alpha-rule on (245) yields:
% 22.38/5.91 | (232) ~ (all_0_8_8 = e3)
% 22.38/5.91 | (247) all_0_11_11 = e0
% 22.38/5.91 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.38/5.91 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.38/5.91 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (247,418) yields a new equation:
% 22.38/5.91 | (543) e1 = e0
% 22.38/5.91 |
% 22.38/5.91 | Equations (543) can reduce 157 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.38/5.91 |
% 22.38/5.91 | Applying alpha-rule on (252) yields:
% 22.38/5.91 | (253) ~ (all_0_13_13 = e2)
% 22.38/5.91 | (254) all_0_12_12 = e3
% 22.38/5.91 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.38/5.91 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.38/5.91 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.38/5.91 |
% 22.38/5.91 | Equations (382) can reduce 253 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.38/5.91 |
% 22.38/5.91 | Applying alpha-rule on (259) yields:
% 22.38/5.91 | (253) ~ (all_0_13_13 = e2)
% 22.38/5.91 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.38/5.91 | (262) all_0_14_14 = e1
% 22.38/5.91 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.38/5.91 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.38/5.91 |
% 22.38/5.91 | Equations (382) can reduce 253 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.38/5.91 |
% 22.38/5.91 | Applying alpha-rule on (266) yields:
% 22.38/5.91 | (253) ~ (all_0_13_13 = e2)
% 22.38/5.91 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.38/5.91 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.38/5.91 | (270) all_0_15_15 = e0
% 22.38/5.91 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.38/5.91 |
% 22.38/5.91 | Equations (382) can reduce 253 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.38/5.91 |
% 22.38/5.91 | Applying alpha-rule on (273) yields:
% 22.38/5.91 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.38/5.91 | (275) ~ (all_0_18_18 = e1)
% 22.38/5.91 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.38/5.91 | (277) all_0_16_16 = e3
% 22.38/5.91 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (608,277) yields a new equation:
% 22.38/5.91 | (323) e3 = e0
% 22.38/5.91 |
% 22.38/5.91 | Equations (323) can reduce 3 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.38/5.91 |
% 22.38/5.91 | Applying alpha-rule on (280) yields:
% 22.38/5.91 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.38/5.91 | (282) all_0_17_17 = e2
% 22.38/5.91 | (275) ~ (all_0_18_18 = e1)
% 22.38/5.91 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.38/5.91 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (368,282) yields a new equation:
% 22.38/5.91 | (742) e2 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (742) can reduce 75 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.38/5.91 |
% 22.38/5.91 | Applying alpha-rule on (287) yields:
% 22.38/5.91 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.38/5.91 | (275) ~ (all_0_18_18 = e1)
% 22.38/5.91 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.38/5.91 | (291) all_0_19_19 = e0
% 22.38/5.91 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (331,291) yields a new equation:
% 22.38/5.91 | (564) e3 = e0
% 22.38/5.91 |
% 22.38/5.91 | Simplifying 564 yields:
% 22.38/5.91 | (323) e3 = e0
% 22.38/5.91 |
% 22.38/5.91 | Equations (323) can reduce 3 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 22.38/5.91 |
% 22.38/5.91 | Applying alpha-rule on (294) yields:
% 22.38/5.91 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 22.38/5.91 | (296) ~ (all_0_23_23 = e0)
% 22.38/5.91 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 22.38/5.91 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 22.38/5.91 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 22.38/5.91 |
% 22.38/5.91 | Equations (175) can reduce 296 to:
% 22.38/5.91 | (29) ~ (e2 = e0)
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (295), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (327) all_0_20_20 = e3
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (952,327) yields a new equation:
% 22.38/5.91 | (556) e3 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (556) can reduce 163 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (210) ~ (all_0_20_20 = e3)
% 22.38/5.91 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (952) can reduce 210 to:
% 22.38/5.91 | (313) ~ (e3 = e1)
% 22.38/5.91 |
% 22.38/5.91 | Simplifying 313 yields:
% 22.38/5.91 | (163) ~ (e3 = e1)
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (4710), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (510) all_0_21_21 = e2
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (1185,510) yields a new equation:
% 22.38/5.91 | (500) e2 = e0
% 22.38/5.91 |
% 22.38/5.91 | Equations (500) can reduce 29 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (514) ~ (all_0_21_21 = e2)
% 22.38/5.91 | (864) all_0_22_22 = e1
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (560,864) yields a new equation:
% 22.38/5.91 | (555) e3 = e1
% 22.38/5.91 |
% 22.38/5.91 | Simplifying 555 yields:
% 22.38/5.91 | (556) e3 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (556) can reduce 163 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (206) ~ (all_0_12_12 = e3)
% 22.38/5.91 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (165), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (254) all_0_12_12 = e3
% 22.38/5.91 |
% 22.38/5.91 | Equations (254) can reduce 206 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (206) ~ (all_0_12_12 = e3)
% 22.38/5.91 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (1015), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (360) all_0_17_17 = e3
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (368,360) yields a new equation:
% 22.38/5.91 | (556) e3 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (556) can reduce 163 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (315) ~ (all_0_17_17 = e3)
% 22.38/5.91 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 22.38/5.91 |
% 22.38/5.91 | Equations (368) can reduce 315 to:
% 22.38/5.91 | (313) ~ (e3 = e1)
% 22.38/5.91 |
% 22.38/5.91 | Simplifying 313 yields:
% 22.38/5.91 | (163) ~ (e3 = e1)
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (714), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (347) all_0_13_13 = e3
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (347,382) yields a new equation:
% 22.38/5.91 | (511) e3 = e2
% 22.38/5.91 |
% 22.38/5.91 | Simplifying 511 yields:
% 22.38/5.91 | (352) e3 = e2
% 22.38/5.91 |
% 22.38/5.91 | Equations (352) can reduce 111 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (337) ~ (all_0_13_13 = e3)
% 22.38/5.91 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (1007), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (516) all_0_14_14 = e3
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (262,516) yields a new equation:
% 22.38/5.91 | (556) e3 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (556) can reduce 163 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (308) ~ (all_0_14_14 = e3)
% 22.38/5.91 | (726) all_0_15_15 = e3
% 22.38/5.91 |
% 22.38/5.91 | Equations (726) can reduce 536 to:
% 22.38/5.91 | (163) ~ (e3 = e1)
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (2092), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (277) all_0_16_16 = e3
% 22.38/5.91 |
% 22.38/5.91 | Equations (277) can reduce 208 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (208) ~ (all_0_16_16 = e3)
% 22.38/5.91 | (327) all_0_20_20 = e3
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (952,327) yields a new equation:
% 22.38/5.91 | (556) e3 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (556) can reduce 163 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (413) ~ (all_0_11_11 = e1)
% 22.38/5.91 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (751), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (411) all_0_9_9 = e1
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (411,338) yields a new equation:
% 22.38/5.91 | (556) e3 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (556) can reduce 163 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (423) ~ (all_0_9_9 = e1)
% 22.38/5.91 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (900), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (242) all_0_10_10 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (242) can reduce 221 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (221) ~ (all_0_10_10 = e1)
% 22.38/5.91 | (418) all_0_11_11 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (418) can reduce 413 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (222) ~ (all_0_14_14 = e1)
% 22.38/5.91 | (794) all_0_18_18 = e1 | all_0_22_22 = e1
% 22.38/5.91 |
% 22.38/5.91 +-Applying beta-rule and splitting (794), into two cases.
% 22.38/5.91 |-Branch one:
% 22.38/5.91 | (220) all_0_18_18 = e1
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (216,220) yields a new equation:
% 22.38/5.91 | (966) e2 = e1
% 22.38/5.91 |
% 22.38/5.91 | Simplifying 966 yields:
% 22.38/5.91 | (742) e2 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (742) can reduce 75 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (275) ~ (all_0_18_18 = e1)
% 22.38/5.91 | (864) all_0_22_22 = e1
% 22.38/5.91 |
% 22.38/5.91 | Combining equations (560,864) yields a new equation:
% 22.38/5.91 | (555) e3 = e1
% 22.38/5.91 |
% 22.38/5.91 | Simplifying 555 yields:
% 22.38/5.91 | (556) e3 = e1
% 22.38/5.91 |
% 22.38/5.91 | Equations (556) can reduce 163 to:
% 22.38/5.91 | (172) $false
% 22.38/5.91 |
% 22.38/5.91 |-The branch is then unsatisfiable
% 22.38/5.91 |-Branch two:
% 22.38/5.91 | (9661) all_0_2_2 = e3
% 22.38/5.91 | (9964) ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e2)
% 22.38/5.91 |
% 22.38/5.91 | From (9661) and (9593) follows:
% 22.38/5.91 | (9965) op(all_0_14_14, e1) = e3
% 22.38/5.91 |
% 22.38/5.92 +-Applying beta-rule and splitting (9964), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (195) ~ (all_0_18_18 = e2)
% 22.38/5.92 |
% 22.38/5.92 | Equations (216) can reduce 195 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (216) all_0_18_18 = e2
% 22.38/5.92 | (7017) ~ (all_0_3_3 = e0)
% 22.38/5.92 |
% 22.38/5.92 | Equations (9592) can reduce 7017 to:
% 22.38/5.92 | (470) ~ (all_0_14_14 = e0)
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (134), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (516) all_0_14_14 = e3
% 22.38/5.92 |
% 22.38/5.92 | Equations (516) can reduce 308 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (308) ~ (all_0_14_14 = e3)
% 22.38/5.92 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (519), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (522) all_0_14_14 = e2
% 22.38/5.92 |
% 22.38/5.92 | Equations (522) can reduce 521 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (521) ~ (all_0_14_14 = e2)
% 22.38/5.92 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (145), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (395) all_0_10_10 = e0
% 22.38/5.92 |
% 22.38/5.92 | Equations (395) can reduce 40 to:
% 22.38/5.92 | (469) ~ (all_0_14_14 = e0)
% 22.38/5.92 |
% 22.38/5.92 | Simplifying 469 yields:
% 22.38/5.92 | (470) ~ (all_0_14_14 = e0)
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (525), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (262) all_0_14_14 = e1
% 22.38/5.92 |
% 22.38/5.92 | From (262) and (9965) follows:
% 22.38/5.92 | (6550) op(e1, e1) = e3
% 22.38/5.92 |
% 22.38/5.92 | Instantiating formula (152) with e1, e1, e3, e2 and discharging atoms op(e1, e1) = e3, op(e1, e1) = e2, yields:
% 22.38/5.92 | (352) e3 = e2
% 22.38/5.92 |
% 22.38/5.92 | Equations (352) can reduce 111 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (222) ~ (all_0_14_14 = e1)
% 22.38/5.92 | (529) all_0_14_14 = e0
% 22.38/5.92 |
% 22.38/5.92 | Equations (529) can reduce 470 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (426) ~ (all_0_10_10 = e0)
% 22.38/5.92 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (525), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (262) all_0_14_14 = e1
% 22.38/5.92 |
% 22.38/5.92 | Equations (262) can reduce 470 to:
% 22.38/5.92 | (157) ~ (e1 = e0)
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (427), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (529) all_0_14_14 = e0
% 22.38/5.92 |
% 22.38/5.92 | Combining equations (262,529) yields a new equation:
% 22.38/5.92 | (542) e1 = e0
% 22.38/5.92 |
% 22.38/5.92 | Simplifying 542 yields:
% 22.38/5.92 | (543) e1 = e0
% 22.38/5.92 |
% 22.38/5.92 | Equations (543) can reduce 157 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (470) ~ (all_0_14_14 = e0)
% 22.38/5.92 | (572) all_0_18_18 = e0 | all_0_22_22 = e0
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (572), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (302) all_0_18_18 = e0
% 22.38/5.92 |
% 22.38/5.92 | Combining equations (216,302) yields a new equation:
% 22.38/5.92 | (499) e2 = e0
% 22.38/5.92 |
% 22.38/5.92 | Simplifying 499 yields:
% 22.38/5.92 | (500) e2 = e0
% 22.38/5.92 |
% 22.38/5.92 | Equations (500) can reduce 29 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (197) ~ (all_0_18_18 = e0)
% 22.38/5.92 | (583) all_0_22_22 = e0
% 22.38/5.92 |
% 22.38/5.92 | Combining equations (583,560) yields a new equation:
% 22.38/5.92 | (323) e3 = e0
% 22.38/5.92 |
% 22.38/5.92 | Equations (323) can reduce 3 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (222) ~ (all_0_14_14 = e1)
% 22.38/5.92 | (529) all_0_14_14 = e0
% 22.38/5.92 |
% 22.38/5.92 | Equations (529) can reduce 470 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (963) ~ (all_0_20_20 = e1)
% 22.38/5.92 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (146), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (621) all_0_8_8 = e1
% 22.38/5.92 |
% 22.38/5.92 | Combining equations (621,492) yields a new equation:
% 22.38/5.92 | (742) e2 = e1
% 22.38/5.92 |
% 22.38/5.92 | Equations (742) can reduce 75 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (196) ~ (all_0_8_8 = e1)
% 22.38/5.92 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (70), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (327) all_0_20_20 = e3
% 22.38/5.92 |
% 22.38/5.92 | Equations (327) can reduce 210 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (210) ~ (all_0_20_20 = e3)
% 22.38/5.92 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (330), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (335) all_0_20_20 = e2
% 22.38/5.92 |
% 22.38/5.92 | Equations (335) can reduce 466 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (466) ~ (all_0_20_20 = e2)
% 22.38/5.92 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (778), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (389) all_0_12_12 = e1
% 22.38/5.92 |
% 22.38/5.92 | Equations (389) can reduce 42 to:
% 22.38/5.92 | (2141) ~ (all_0_20_20 = e1)
% 22.38/5.92 |
% 22.38/5.92 | Simplifying 2141 yields:
% 22.38/5.92 | (963) ~ (all_0_20_20 = e1)
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (467), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (952) all_0_20_20 = e1
% 22.38/5.92 |
% 22.38/5.92 | Equations (952) can reduce 963 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (963) ~ (all_0_20_20 = e1)
% 22.38/5.92 | (613) all_0_20_20 = e0
% 22.38/5.92 |
% 22.38/5.92 | Equations (613) can reduce 186 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (307) ~ (all_0_12_12 = e1)
% 22.38/5.92 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (2268), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (305) all_0_16_16 = e1
% 22.38/5.92 |
% 22.38/5.92 | Equations (305) can reduce 770 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (770) ~ (all_0_16_16 = e1)
% 22.38/5.92 | (952) all_0_20_20 = e1
% 22.38/5.92 |
% 22.38/5.92 | Equations (952) can reduce 963 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (3427) all_0_3_3 = e3
% 22.38/5.92 | (10041) ~ (all_0_2_2 = e0) | ~ (all_0_18_18 = e2)
% 22.38/5.92 |
% 22.38/5.92 | Combining equations (3427,9592) yields a new equation:
% 22.38/5.92 | (516) all_0_14_14 = e3
% 22.38/5.92 |
% 22.38/5.92 | Equations (516) can reduce 40 to:
% 22.38/5.92 | (306) ~ (all_0_10_10 = e3)
% 22.38/5.92 |
% 22.38/5.92 | Equations (516) can reduce 71 to:
% 22.38/5.92 | (641) ~ (all_0_15_15 = e3)
% 22.38/5.92 |
% 22.38/5.92 | Simplifying 641 yields:
% 22.38/5.92 | (642) ~ (all_0_15_15 = e3)
% 22.38/5.92 |
% 22.38/5.92 | Equations (516) can reduce 160 to:
% 22.38/5.92 | (318) ~ (all_0_22_22 = e3)
% 22.38/5.92 |
% 22.38/5.92 | Simplifying 318 yields:
% 22.38/5.92 | (319) ~ (all_0_22_22 = e3)
% 22.38/5.92 |
% 22.38/5.92 | Equations (516) can reduce 521 to:
% 22.38/5.92 | (111) ~ (e3 = e2)
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (65), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (399) all_0_11_11 = e3
% 22.38/5.92 |
% 22.38/5.92 | Equations (399) can reduce 204 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (204) ~ (all_0_11_11 = e3)
% 22.38/5.92 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (107), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (327) all_0_20_20 = e3
% 22.38/5.92 |
% 22.38/5.92 | Equations (327) can reduce 14 to:
% 22.38/5.92 | (318) ~ (all_0_22_22 = e3)
% 22.38/5.92 |
% 22.38/5.92 | Simplifying 318 yields:
% 22.38/5.92 | (319) ~ (all_0_22_22 = e3)
% 22.38/5.92 |
% 22.38/5.92 | Equations (327) can reduce 466 to:
% 22.38/5.92 | (111) ~ (e3 = e2)
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (128), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (952) all_0_20_20 = e1
% 22.38/5.92 |
% 22.38/5.92 | Combining equations (952,327) yields a new equation:
% 22.38/5.92 | (556) e3 = e1
% 22.38/5.92 |
% 22.38/5.92 | Equations (556) can reduce 163 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (963) ~ (all_0_20_20 = e1)
% 22.38/5.92 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (1358), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (726) all_0_15_15 = e3
% 22.38/5.92 |
% 22.38/5.92 | Equations (726) can reduce 642 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (642) ~ (all_0_15_15 = e3)
% 22.38/5.92 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (8093), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (331) all_0_19_19 = e3
% 22.38/5.92 |
% 22.38/5.92 | Equations (331) can reduce 132 to:
% 22.38/5.92 | (204) ~ (all_0_11_11 = e3)
% 22.38/5.92 |
% 22.38/5.92 | Equations (331) can reduce 89 to:
% 22.38/5.92 | (642) ~ (all_0_15_15 = e3)
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (964), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (554) all_0_21_21 = e1
% 22.38/5.92 |
% 22.38/5.92 | Combining equations (1185,554) yields a new equation:
% 22.38/5.92 | (543) e1 = e0
% 22.38/5.92 |
% 22.38/5.92 | Equations (543) can reduce 157 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (969) ~ (all_0_21_21 = e1)
% 22.38/5.92 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (970), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (864) all_0_22_22 = e1
% 22.38/5.92 |
% 22.38/5.92 | Equations (864) can reduce 72 to:
% 22.38/5.92 | (221) ~ (all_0_10_10 = e1)
% 22.38/5.92 |
% 22.38/5.92 | Equations (864) can reduce 319 to:
% 22.38/5.92 | (313) ~ (e3 = e1)
% 22.38/5.92 |
% 22.38/5.92 | Simplifying 313 yields:
% 22.38/5.92 | (163) ~ (e3 = e1)
% 22.38/5.92 |
% 22.38/5.92 | Equations (864) can reduce 531 to:
% 22.38/5.92 | (924) ~ (e2 = e1)
% 22.38/5.92 |
% 22.38/5.92 | Simplifying 924 yields:
% 22.38/5.92 | (75) ~ (e2 = e1)
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (50), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (695) all_0_10_10 = e3
% 22.38/5.92 |
% 22.38/5.92 | Equations (695) can reduce 306 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (306) ~ (all_0_10_10 = e3)
% 22.38/5.92 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (1231), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (730) all_0_10_10 = e2
% 22.38/5.92 |
% 22.38/5.92 | Equations (730) can reduce 985 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (985) ~ (all_0_10_10 = e2)
% 22.38/5.92 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 22.38/5.92 |
% 22.38/5.92 +-Applying beta-rule and splitting (1235), into two cases.
% 22.38/5.92 |-Branch one:
% 22.38/5.92 | (242) all_0_10_10 = e1
% 22.38/5.92 |
% 22.38/5.92 | Equations (242) can reduce 221 to:
% 22.38/5.92 | (172) $false
% 22.38/5.92 |
% 22.38/5.92 |-The branch is then unsatisfiable
% 22.38/5.92 |-Branch two:
% 22.38/5.92 | (221) ~ (all_0_10_10 = e1)
% 22.38/5.92 | (395) all_0_10_10 = e0
% 22.38/5.92 |
% 22.38/5.92 | Equations (395) can reduce 23 to:
% 22.38/5.92 | (397) ~ (all_0_11_11 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 397 yields:
% 22.38/5.93 | (183) ~ (all_0_11_11 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Equations (395) can reduce 306 to:
% 22.38/5.93 | (189) ~ (e3 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 189 yields:
% 22.38/5.93 | (3) ~ (e3 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Equations (395) can reduce 985 to:
% 22.38/5.93 | (191) ~ (e2 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 191 yields:
% 22.38/5.93 | (29) ~ (e2 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Equations (395) can reduce 221 to:
% 22.38/5.93 | (193) ~ (e1 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 193 yields:
% 22.38/5.93 | (157) ~ (e1 = e0)
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (47), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (621) all_0_8_8 = e1
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (621,492) yields a new equation:
% 22.38/5.93 | (742) e2 = e1
% 22.38/5.93 |
% 22.38/5.93 | Equations (742) can reduce 75 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (196) ~ (all_0_8_8 = e1)
% 22.38/5.93 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (751), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (411) all_0_9_9 = e1
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (338,411) yields a new equation:
% 22.38/5.93 | (555) e3 = e1
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 555 yields:
% 22.38/5.93 | (556) e3 = e1
% 22.38/5.93 |
% 22.38/5.93 | Equations (556) can reduce 163 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (423) ~ (all_0_9_9 = e1)
% 22.38/5.93 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (900), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (242) all_0_10_10 = e1
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (395,242) yields a new equation:
% 22.38/5.93 | (543) e1 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (543) can reduce 157 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (221) ~ (all_0_10_10 = e1)
% 22.38/5.93 | (418) all_0_11_11 = e1
% 22.38/5.93 |
% 22.38/5.93 | Equations (418) can reduce 204 to:
% 22.38/5.93 | (313) ~ (e3 = e1)
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 313 yields:
% 22.38/5.93 | (163) ~ (e3 = e1)
% 22.38/5.93 |
% 22.38/5.93 | Equations (418) can reduce 343 to:
% 22.38/5.93 | (924) ~ (e2 = e1)
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 924 yields:
% 22.38/5.93 | (75) ~ (e2 = e1)
% 22.38/5.93 |
% 22.38/5.93 | Equations (418) can reduce 183 to:
% 22.38/5.93 | (157) ~ (e1 = e0)
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (153), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (247) all_0_11_11 = e0
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (418,247) yields a new equation:
% 22.38/5.93 | (542) e1 = e0
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 542 yields:
% 22.38/5.93 | (543) e1 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (543) can reduce 157 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (183) ~ (all_0_11_11 = e0)
% 22.38/5.93 | (9734) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (9734), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (270) all_0_15_15 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (270) can reduce 30 to:
% 22.38/5.93 | (606) ~ (all_0_12_12 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Equations (270) can reduce 642 to:
% 22.38/5.93 | (189) ~ (e3 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 189 yields:
% 22.38/5.93 | (3) ~ (e3 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Equations (270) can reduce 725 to:
% 22.38/5.93 | (191) ~ (e2 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 191 yields:
% 22.38/5.93 | (29) ~ (e2 = e0)
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (91), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (322) all_0_8_8 = e0
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (322,492) yields a new equation:
% 22.38/5.93 | (500) e2 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (500) can reduce 29 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (199) ~ (all_0_8_8 = e0)
% 22.38/5.93 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (326), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (392) all_0_12_12 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (392) can reduce 606 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (606) ~ (all_0_12_12 = e0)
% 22.38/5.93 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (607), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (608) all_0_16_16 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (608) can reduce 770 to:
% 22.38/5.93 | (193) ~ (e1 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 193 yields:
% 22.38/5.93 | (157) ~ (e1 = e0)
% 22.38/5.93 |
% 22.38/5.93 | From (608) and (35) follows:
% 22.38/5.93 | (10145) op(e1, e3) = e0
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (148), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (389) all_0_12_12 = e1
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (389,9591) yields a new equation:
% 22.38/5.93 | (2769) all_0_7_7 = e1
% 22.38/5.93 |
% 22.38/5.93 | From (389) and (9594) follows:
% 22.38/5.93 | (2085) op(e1, e3) = all_0_6_6
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (159), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (2497) ~ (all_0_7_7 = e1)
% 22.38/5.93 |
% 22.38/5.93 | Equations (2769) can reduce 2497 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (2769) all_0_7_7 = e1
% 22.38/5.93 | (10152) ~ (all_0_6_6 = e0) | ~ (all_0_8_8 = e2)
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (10152), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (198) ~ (all_0_8_8 = e2)
% 22.38/5.93 |
% 22.38/5.93 | Equations (492) can reduce 198 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (492) all_0_8_8 = e2
% 22.38/5.93 | (6039) ~ (all_0_6_6 = e0)
% 22.38/5.93 |
% 22.38/5.93 | Instantiating formula (152) with e1, e3, e0, all_0_6_6 and discharging atoms op(e1, e3) = all_0_6_6, op(e1, e3) = e0, yields:
% 22.38/5.93 | (1861) all_0_6_6 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (1861) can reduce 6039 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (307) ~ (all_0_12_12 = e1)
% 22.38/5.93 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (1399), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (444) all_0_13_13 = e1
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (444,382) yields a new equation:
% 22.38/5.93 | (742) e2 = e1
% 22.38/5.93 |
% 22.38/5.93 | Equations (742) can reduce 75 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (167) ~ (all_0_13_13 = e1)
% 22.38/5.93 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (1715), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (262) all_0_14_14 = e1
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (516,262) yields a new equation:
% 22.38/5.93 | (555) e3 = e1
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 555 yields:
% 22.38/5.93 | (556) e3 = e1
% 22.38/5.93 |
% 22.38/5.93 | Equations (556) can reduce 163 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (222) ~ (all_0_14_14 = e1)
% 22.38/5.93 | (490) all_0_15_15 = e1
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (270,490) yields a new equation:
% 22.38/5.93 | (543) e1 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (543) can reduce 157 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (612) ~ (all_0_16_16 = e0)
% 22.38/5.93 | (613) all_0_20_20 = e0
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (327,613) yields a new equation:
% 22.38/5.93 | (564) e3 = e0
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 564 yields:
% 22.38/5.93 | (323) e3 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (323) can reduce 3 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (184) ~ (all_0_15_15 = e0)
% 22.38/5.93 | (10180) all_0_19_19 = e0 | all_0_23_23 = e0
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (10180), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (291) all_0_19_19 = e0
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (331,291) yields a new equation:
% 22.38/5.93 | (564) e3 = e0
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 564 yields:
% 22.38/5.93 | (323) e3 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (323) can reduce 3 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (185) ~ (all_0_19_19 = e0)
% 22.38/5.93 | (182) all_0_23_23 = e0
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (182,175) yields a new equation:
% 22.38/5.93 | (500) e2 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (500) can reduce 29 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (975) ~ (all_0_22_22 = e1)
% 22.38/5.93 | (179) all_0_23_23 = e1
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (179,175) yields a new equation:
% 22.38/5.93 | (742) e2 = e1
% 22.38/5.93 |
% 22.38/5.93 | Equations (742) can reduce 75 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (317) ~ (all_0_19_19 = e3)
% 22.38/5.93 | (171) all_0_23_23 = e3
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (175,171) yields a new equation:
% 22.38/5.93 | (352) e3 = e2
% 22.38/5.93 |
% 22.38/5.93 | Equations (352) can reduce 111 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (210) ~ (all_0_20_20 = e3)
% 22.38/5.93 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (355), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (356) all_0_21_21 = e3
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (356,1185) yields a new equation:
% 22.38/5.93 | (564) e3 = e0
% 22.38/5.93 |
% 22.38/5.93 | Simplifying 564 yields:
% 22.38/5.93 | (323) e3 = e0
% 22.38/5.93 |
% 22.38/5.93 | Equations (323) can reduce 3 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (449) ~ (all_0_21_21 = e3)
% 22.38/5.93 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 22.38/5.93 |
% 22.38/5.93 +-Applying beta-rule and splitting (450), into two cases.
% 22.38/5.93 |-Branch one:
% 22.38/5.93 | (560) all_0_22_22 = e3
% 22.38/5.93 |
% 22.38/5.93 | Equations (560) can reduce 319 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.93 |-Branch two:
% 22.38/5.93 | (319) ~ (all_0_22_22 = e3)
% 22.38/5.93 | (171) all_0_23_23 = e3
% 22.38/5.93 |
% 22.38/5.93 | Combining equations (175,171) yields a new equation:
% 22.38/5.93 | (352) e3 = e2
% 22.38/5.93 |
% 22.38/5.93 | Equations (352) can reduce 111 to:
% 22.38/5.93 | (172) $false
% 22.38/5.93 |
% 22.38/5.93 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (2170) all_0_6_6 = e1
% 22.38/5.94 | (10212) ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e2)
% 22.38/5.94 |
% 22.38/5.94 | From (2170) and (9594) follows:
% 22.38/5.94 | (10213) op(all_0_12_12, e3) = e1
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (10212), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (198) ~ (all_0_8_8 = e2)
% 22.38/5.94 |
% 22.38/5.94 | Equations (492) can reduce 198 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (492) all_0_8_8 = e2
% 22.38/5.94 | (10217) ~ (all_0_7_7 = e0)
% 22.38/5.94 |
% 22.38/5.94 | Equations (9591) can reduce 10217 to:
% 22.38/5.94 | (606) ~ (all_0_12_12 = e0)
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (91), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (322) all_0_8_8 = e0
% 22.38/5.94 |
% 22.38/5.94 | Combining equations (322,492) yields a new equation:
% 22.38/5.94 | (500) e2 = e0
% 22.38/5.94 |
% 22.38/5.94 | Equations (500) can reduce 29 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (199) ~ (all_0_8_8 = e0)
% 22.38/5.94 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (326), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (392) all_0_12_12 = e0
% 22.38/5.94 |
% 22.38/5.94 | Equations (392) can reduce 606 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (606) ~ (all_0_12_12 = e0)
% 22.38/5.94 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (607), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (608) all_0_16_16 = e0
% 22.38/5.94 |
% 22.38/5.94 | Equations (608) can reduce 138 to:
% 22.38/5.94 | (675) ~ (all_0_19_19 = e0)
% 22.38/5.94 |
% 22.38/5.94 | Simplifying 675 yields:
% 22.38/5.94 | (185) ~ (all_0_19_19 = e0)
% 22.38/5.94 |
% 22.38/5.94 | Equations (608) can reduce 101 to:
% 22.38/5.94 | (634) ~ (all_0_20_20 = e0)
% 22.38/5.94 |
% 22.38/5.94 | Simplifying 634 yields:
% 22.38/5.94 | (186) ~ (all_0_20_20 = e0)
% 22.38/5.94 |
% 22.38/5.94 | Equations (608) can reduce 770 to:
% 22.38/5.94 | (193) ~ (e1 = e0)
% 22.38/5.94 |
% 22.38/5.94 | Simplifying 193 yields:
% 22.38/5.94 | (157) ~ (e1 = e0)
% 22.38/5.94 |
% 22.38/5.94 | From (608) and (35) follows:
% 22.38/5.94 | (10145) op(e1, e3) = e0
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (52), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (331) all_0_19_19 = e3
% 22.38/5.94 |
% 22.38/5.94 | Equations (331) can reduce 132 to:
% 22.38/5.94 | (204) ~ (all_0_11_11 = e3)
% 22.38/5.94 |
% 22.38/5.94 | Equations (331) can reduce 89 to:
% 22.38/5.94 | (642) ~ (all_0_15_15 = e3)
% 22.38/5.94 |
% 22.38/5.94 | Equations (331) can reduce 456 to:
% 22.38/5.94 | (111) ~ (e3 = e2)
% 22.38/5.94 |
% 22.38/5.94 | Equations (331) can reduce 312 to:
% 22.38/5.94 | (163) ~ (e3 = e1)
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (13), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (3192) ~ (all_0_3_3 = e3)
% 22.38/5.94 |
% 22.38/5.94 | Equations (9592) can reduce 3192 to:
% 22.38/5.94 | (308) ~ (all_0_14_14 = e3)
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (165), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (254) all_0_12_12 = e3
% 22.38/5.94 |
% 22.38/5.94 | From (254) and (10213) follows:
% 22.38/5.94 | (2256) op(e3, e3) = e1
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (146), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (621) all_0_8_8 = e1
% 22.38/5.94 |
% 22.38/5.94 | Combining equations (621,492) yields a new equation:
% 22.38/5.94 | (742) e2 = e1
% 22.38/5.94 |
% 22.38/5.94 | Equations (742) can reduce 75 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (196) ~ (all_0_8_8 = e1)
% 22.38/5.94 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (778), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (389) all_0_12_12 = e1
% 22.38/5.94 |
% 22.38/5.94 | Combining equations (389,254) yields a new equation:
% 22.38/5.94 | (556) e3 = e1
% 22.38/5.94 |
% 22.38/5.94 | Equations (556) can reduce 163 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (307) ~ (all_0_12_12 = e1)
% 22.38/5.94 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (2268), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (305) all_0_16_16 = e1
% 22.38/5.94 |
% 22.38/5.94 | Combining equations (608,305) yields a new equation:
% 22.38/5.94 | (543) e1 = e0
% 22.38/5.94 |
% 22.38/5.94 | Equations (543) can reduce 157 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (770) ~ (all_0_16_16 = e1)
% 22.38/5.94 | (952) all_0_20_20 = e1
% 22.38/5.94 |
% 22.38/5.94 | Equations (952) can reduce 466 to:
% 22.38/5.94 | (924) ~ (e2 = e1)
% 22.38/5.94 |
% 22.38/5.94 | Simplifying 924 yields:
% 22.38/5.94 | (75) ~ (e2 = e1)
% 22.38/5.94 |
% 22.38/5.94 | Instantiating formula (152) with e3, e3, e1, e2 and discharging atoms op(e3, e3) = e2, op(e3, e3) = e1, yields:
% 22.38/5.94 | (742) e2 = e1
% 22.38/5.94 |
% 22.38/5.94 | Equations (742) can reduce 75 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (206) ~ (all_0_12_12 = e3)
% 22.38/5.94 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (714), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (347) all_0_13_13 = e3
% 22.38/5.94 |
% 22.38/5.94 | Combining equations (347,382) yields a new equation:
% 22.38/5.94 | (511) e3 = e2
% 22.38/5.94 |
% 22.38/5.94 | Simplifying 511 yields:
% 22.38/5.94 | (352) e3 = e2
% 22.38/5.94 |
% 22.38/5.94 | Equations (352) can reduce 111 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (337) ~ (all_0_13_13 = e3)
% 22.38/5.94 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (1007), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (516) all_0_14_14 = e3
% 22.38/5.94 |
% 22.38/5.94 | Equations (516) can reduce 308 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (308) ~ (all_0_14_14 = e3)
% 22.38/5.94 | (726) all_0_15_15 = e3
% 22.38/5.94 |
% 22.38/5.94 | Equations (726) can reduce 642 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (3427) all_0_3_3 = e3
% 22.38/5.94 | (10041) ~ (all_0_2_2 = e0) | ~ (all_0_18_18 = e2)
% 22.38/5.94 |
% 22.38/5.94 | Combining equations (3427,9592) yields a new equation:
% 22.38/5.94 | (516) all_0_14_14 = e3
% 22.38/5.94 |
% 22.38/5.94 | Equations (516) can reduce 40 to:
% 22.38/5.94 | (306) ~ (all_0_10_10 = e3)
% 22.38/5.94 |
% 22.38/5.94 | Equations (516) can reduce 160 to:
% 22.38/5.94 | (318) ~ (all_0_22_22 = e3)
% 22.38/5.94 |
% 22.38/5.94 | Simplifying 318 yields:
% 22.38/5.94 | (319) ~ (all_0_22_22 = e3)
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (143), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (560) all_0_22_22 = e3
% 22.38/5.94 |
% 22.38/5.94 | Equations (560) can reduce 319 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (319) ~ (all_0_22_22 = e3)
% 22.38/5.94 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (2882), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (520) all_0_22_22 = e2
% 22.38/5.94 |
% 22.38/5.94 | Equations (520) can reduce 531 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (531) ~ (all_0_22_22 = e2)
% 22.38/5.94 | (4223) all_0_22_22 = e1 | all_0_22_22 = e0
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (4223), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (864) all_0_22_22 = e1
% 22.38/5.94 |
% 22.38/5.94 | Equations (864) can reduce 72 to:
% 22.38/5.94 | (221) ~ (all_0_10_10 = e1)
% 22.38/5.94 |
% 22.38/5.94 | Equations (864) can reduce 14 to:
% 22.38/5.94 | (963) ~ (all_0_20_20 = e1)
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (50), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (695) all_0_10_10 = e3
% 22.38/5.94 |
% 22.38/5.94 | Equations (695) can reduce 306 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (306) ~ (all_0_10_10 = e3)
% 22.38/5.94 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (1231), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (730) all_0_10_10 = e2
% 22.38/5.94 |
% 22.38/5.94 | Equations (730) can reduce 985 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (985) ~ (all_0_10_10 = e2)
% 22.38/5.94 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (1235), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (242) all_0_10_10 = e1
% 22.38/5.94 |
% 22.38/5.94 | Equations (242) can reduce 221 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (221) ~ (all_0_10_10 = e1)
% 22.38/5.94 | (395) all_0_10_10 = e0
% 22.38/5.94 |
% 22.38/5.94 | Equations (395) can reduce 23 to:
% 22.38/5.94 | (397) ~ (all_0_11_11 = e0)
% 22.38/5.94 |
% 22.38/5.94 | Simplifying 397 yields:
% 22.38/5.94 | (183) ~ (all_0_11_11 = e0)
% 22.38/5.94 |
% 22.38/5.94 | Equations (395) can reduce 985 to:
% 22.38/5.94 | (191) ~ (e2 = e0)
% 22.38/5.94 |
% 22.38/5.94 | Simplifying 191 yields:
% 22.38/5.94 | (29) ~ (e2 = e0)
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (95), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (399) all_0_11_11 = e3
% 22.38/5.94 |
% 22.38/5.94 | Equations (399) can reduce 204 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (204) ~ (all_0_11_11 = e3)
% 22.38/5.94 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 22.38/5.94 |
% 22.38/5.94 +-Applying beta-rule and splitting (153), into two cases.
% 22.38/5.94 |-Branch one:
% 22.38/5.94 | (247) all_0_11_11 = e0
% 22.38/5.94 |
% 22.38/5.94 | Equations (247) can reduce 183 to:
% 22.38/5.94 | (172) $false
% 22.38/5.94 |
% 22.38/5.94 |-The branch is then unsatisfiable
% 22.38/5.94 |-Branch two:
% 22.38/5.94 | (183) ~ (all_0_11_11 = e0)
% 22.38/5.94 | (9734) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (107), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (327) all_0_20_20 = e3
% 22.38/5.95 |
% 22.38/5.95 | Equations (327) can reduce 186 to:
% 22.38/5.95 | (3) ~ (e3 = e0)
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (9734), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (270) all_0_15_15 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (270) can reduce 129 to:
% 22.38/5.95 | (183) ~ (all_0_11_11 = e0)
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (148), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (389) all_0_12_12 = e1
% 22.38/5.95 |
% 22.38/5.95 | From (389) and (10213) follows:
% 22.38/5.95 | (2305) op(e1, e3) = e1
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (142), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (418) all_0_11_11 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (418) can reduce 183 to:
% 22.38/5.95 | (157) ~ (e1 = e0)
% 22.38/5.95 |
% 22.38/5.95 | Instantiating formula (152) with e1, e3, e1, e0 and discharging atoms op(e1, e3) = e1, op(e1, e3) = e0, yields:
% 22.38/5.95 | (543) e1 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (543) can reduce 157 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (413) ~ (all_0_11_11 = e1)
% 22.38/5.95 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (402), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (414) all_0_11_11 = e2
% 22.38/5.95 |
% 22.38/5.95 | Equations (414) can reduce 343 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (343) ~ (all_0_11_11 = e2)
% 22.38/5.95 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (417), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (418) all_0_11_11 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (418) can reduce 413 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (413) ~ (all_0_11_11 = e1)
% 22.38/5.95 | (247) all_0_11_11 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (247) can reduce 183 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (307) ~ (all_0_12_12 = e1)
% 22.38/5.95 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (142), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (418) all_0_11_11 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (418) can reduce 204 to:
% 22.38/5.95 | (313) ~ (e3 = e1)
% 22.38/5.95 |
% 22.38/5.95 | Simplifying 313 yields:
% 22.38/5.95 | (163) ~ (e3 = e1)
% 22.38/5.95 |
% 22.38/5.95 | Equations (418) can reduce 343 to:
% 22.38/5.95 | (924) ~ (e2 = e1)
% 22.38/5.95 |
% 22.38/5.95 | Simplifying 924 yields:
% 22.38/5.95 | (75) ~ (e2 = e1)
% 22.38/5.95 |
% 22.38/5.95 | Equations (418) can reduce 183 to:
% 22.38/5.95 | (157) ~ (e1 = e0)
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (1399), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (444) all_0_13_13 = e1
% 22.38/5.95 |
% 22.38/5.95 | Combining equations (382,444) yields a new equation:
% 22.38/5.95 | (966) e2 = e1
% 22.38/5.95 |
% 22.38/5.95 | Simplifying 966 yields:
% 22.38/5.95 | (742) e2 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (742) can reduce 75 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (167) ~ (all_0_13_13 = e1)
% 22.38/5.95 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (1715), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (262) all_0_14_14 = e1
% 22.38/5.95 |
% 22.38/5.95 | Combining equations (516,262) yields a new equation:
% 22.38/5.95 | (555) e3 = e1
% 22.38/5.95 |
% 22.38/5.95 | Simplifying 555 yields:
% 22.38/5.95 | (556) e3 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (556) can reduce 163 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (222) ~ (all_0_14_14 = e1)
% 22.38/5.95 | (490) all_0_15_15 = e1
% 22.38/5.95 |
% 22.38/5.95 | Combining equations (270,490) yields a new equation:
% 22.38/5.95 | (543) e1 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (543) can reduce 157 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (413) ~ (all_0_11_11 = e1)
% 22.38/5.95 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (402), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (414) all_0_11_11 = e2
% 22.38/5.95 |
% 22.38/5.95 | Equations (414) can reduce 343 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (343) ~ (all_0_11_11 = e2)
% 22.38/5.95 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (417), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (418) all_0_11_11 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (418) can reduce 413 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (413) ~ (all_0_11_11 = e1)
% 22.38/5.95 | (247) all_0_11_11 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (247) can reduce 183 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (184) ~ (all_0_15_15 = e0)
% 22.38/5.95 | (10180) all_0_19_19 = e0 | all_0_23_23 = e0
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (10180), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (291) all_0_19_19 = e0
% 22.38/5.95 |
% 22.38/5.95 | Combining equations (331,291) yields a new equation:
% 22.38/5.95 | (564) e3 = e0
% 22.38/5.95 |
% 22.38/5.95 | Simplifying 564 yields:
% 22.38/5.95 | (323) e3 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (323) can reduce 3 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (185) ~ (all_0_19_19 = e0)
% 22.38/5.95 | (182) all_0_23_23 = e0
% 22.38/5.95 |
% 22.38/5.95 | Combining equations (175,182) yields a new equation:
% 22.38/5.95 | (499) e2 = e0
% 22.38/5.95 |
% 22.38/5.95 | Simplifying 499 yields:
% 22.38/5.95 | (500) e2 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (500) can reduce 29 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (210) ~ (all_0_20_20 = e3)
% 22.38/5.95 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (70), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (327) all_0_20_20 = e3
% 22.38/5.95 |
% 22.38/5.95 | Equations (327) can reduce 210 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (210) ~ (all_0_20_20 = e3)
% 22.38/5.95 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (330), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (335) all_0_20_20 = e2
% 22.38/5.95 |
% 22.38/5.95 | Equations (335) can reduce 466 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (466) ~ (all_0_20_20 = e2)
% 22.38/5.95 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (467), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (952) all_0_20_20 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (952) can reduce 963 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (963) ~ (all_0_20_20 = e1)
% 22.38/5.95 | (613) all_0_20_20 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (613) can reduce 186 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (975) ~ (all_0_22_22 = e1)
% 22.38/5.95 | (583) all_0_22_22 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (583) can reduce 188 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (317) ~ (all_0_19_19 = e3)
% 22.38/5.95 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (334), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (342) all_0_19_19 = e2
% 22.38/5.95 |
% 22.38/5.95 | Equations (342) can reduce 456 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (456) ~ (all_0_19_19 = e2)
% 22.38/5.95 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (457), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (458) all_0_19_19 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (458) can reduce 312 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (312) ~ (all_0_19_19 = e1)
% 22.38/5.95 | (291) all_0_19_19 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (291) can reduce 185 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (612) ~ (all_0_16_16 = e0)
% 22.38/5.95 | (613) all_0_20_20 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (613) can reduce 186 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (195) ~ (all_0_18_18 = e2)
% 22.38/5.95 | (342) all_0_19_19 = e2
% 22.38/5.95 |
% 22.38/5.95 | Equations (342) can reduce 456 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (212) all_0_18_18 = e3
% 22.38/5.95 | (305) all_0_16_16 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (305) can reduce 770 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (253) ~ (all_0_13_13 = e2)
% 22.38/5.95 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (939), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (282) all_0_17_17 = e2
% 22.38/5.95 |
% 22.38/5.95 | Combining equations (368,282) yields a new equation:
% 22.38/5.95 | (742) e2 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (742) can reduce 75 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (344) ~ (all_0_17_17 = e2)
% 22.38/5.95 | (510) all_0_21_21 = e2
% 22.38/5.95 |
% 22.38/5.95 | Combining equations (1185,510) yields a new equation:
% 22.38/5.95 | (500) e2 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (500) can reduce 29 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (302) all_0_18_18 = e0
% 22.38/5.95 | (458) all_0_19_19 = e1
% 22.38/5.95 |
% 22.38/5.95 | Equations (458) can reduce 312 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (310) ~ (all_0_17_17 = e1)
% 22.38/5.95 | (554) all_0_21_21 = e1
% 22.38/5.95 |
% 22.38/5.95 | Combining equations (554,1185) yields a new equation:
% 22.38/5.95 | (542) e1 = e0
% 22.38/5.95 |
% 22.38/5.95 | Simplifying 542 yields:
% 22.38/5.95 | (543) e1 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (543) can reduce 157 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (179) all_0_23_23 = e1
% 22.38/5.95 | (583) all_0_22_22 = e0
% 22.38/5.95 |
% 22.38/5.95 | Equations (583) can reduce 72 to:
% 22.38/5.95 | (426) ~ (all_0_10_10 = e0)
% 22.38/5.95 |
% 22.38/5.95 | Equations (179) can reduce 131 to:
% 22.38/5.95 | (413) ~ (all_0_11_11 = e1)
% 22.38/5.95 |
% 22.38/5.95 | Equations (583) can reduce 160 to:
% 22.38/5.95 | (470) ~ (all_0_14_14 = e0)
% 22.38/5.95 |
% 22.38/5.95 | Equations (179) can reduce 105 to:
% 22.38/5.95 | (536) ~ (all_0_15_15 = e1)
% 22.38/5.95 |
% 22.38/5.95 | Equations (583) can reduce 119 to:
% 22.38/5.95 | (197) ~ (all_0_18_18 = e0)
% 22.38/5.95 |
% 22.38/5.95 | Equations (179) can reduce 122 to:
% 22.38/5.95 | (312) ~ (all_0_19_19 = e1)
% 22.38/5.95 |
% 22.38/5.95 | Equations (583) can reduce 14 to:
% 22.38/5.95 | (186) ~ (all_0_20_20 = e0)
% 22.38/5.95 |
% 22.38/5.95 | Equations (179) can reduce 156 to:
% 22.38/5.95 | (963) ~ (all_0_20_20 = e1)
% 22.38/5.95 |
% 22.38/5.95 | Equations (583) can reduce 150 to:
% 22.38/5.95 | (187) ~ (all_0_21_21 = e0)
% 22.38/5.95 |
% 22.38/5.95 | Equations (179) can reduce 31 to:
% 22.38/5.95 | (969) ~ (all_0_21_21 = e1)
% 22.38/5.95 |
% 22.38/5.95 | Equations (583,179) can reduce 39 to:
% 22.38/5.95 | (193) ~ (e1 = e0)
% 22.38/5.95 |
% 22.38/5.95 | Simplifying 193 yields:
% 22.38/5.95 | (157) ~ (e1 = e0)
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (48), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (195) ~ (all_0_18_18 = e2)
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (82), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (337) ~ (all_0_13_13 = e3)
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (140), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (373) ~ (all_0_13_13 = e0)
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (102), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (347) all_0_13_13 = e3
% 22.38/5.95 |
% 22.38/5.95 | Equations (347) can reduce 337 to:
% 22.38/5.95 | (172) $false
% 22.38/5.95 |
% 22.38/5.95 |-The branch is then unsatisfiable
% 22.38/5.95 |-Branch two:
% 22.38/5.95 | (337) ~ (all_0_13_13 = e3)
% 22.38/5.95 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 22.38/5.95 |
% 22.38/5.95 +-Applying beta-rule and splitting (377), into two cases.
% 22.38/5.95 |-Branch one:
% 22.38/5.95 | (382) all_0_13_13 = e2
% 22.38/5.95 |
% 22.38/5.95 | Equations (382) can reduce 12 to:
% 22.38/5.95 | (6400) ~ (all_0_14_14 = e2)
% 22.38/5.95 |
% 22.38/5.95 | Simplifying 6400 yields:
% 22.38/5.95 | (521) ~ (all_0_14_14 = e2)
% 22.38/5.95 |
% 22.38/5.95 | Equations (382) can reduce 5 to:
% 22.38/5.95 | (2237) ~ (all_0_17_17 = e2)
% 22.38/5.95 |
% 22.38/5.96 | Simplifying 2237 yields:
% 22.38/5.96 | (344) ~ (all_0_17_17 = e2)
% 22.38/5.96 |
% 22.38/5.96 | Equations (382) can reduce 104 to:
% 22.38/5.96 | (2013) ~ (all_0_21_21 = e2)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 2013 yields:
% 22.38/5.96 | (514) ~ (all_0_21_21 = e2)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (4), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (356) all_0_21_21 = e3
% 22.38/5.96 |
% 22.38/5.96 | Equations (356) can reduce 7 to:
% 22.38/5.96 | (210) ~ (all_0_20_20 = e3)
% 22.38/5.96 |
% 22.38/5.96 | Equations (356) can reduce 969 to:
% 22.38/5.96 | (163) ~ (e3 = e1)
% 22.38/5.96 |
% 22.38/5.96 | Equations (356) can reduce 187 to:
% 22.38/5.96 | (3) ~ (e3 = e0)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (70), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (327) all_0_20_20 = e3
% 22.38/5.96 |
% 22.38/5.96 | Equations (327) can reduce 210 to:
% 22.38/5.96 | (172) $false
% 22.38/5.96 |
% 22.38/5.96 |-The branch is then unsatisfiable
% 22.38/5.96 |-Branch two:
% 22.38/5.96 | (210) ~ (all_0_20_20 = e3)
% 22.38/5.96 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (330), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (335) all_0_20_20 = e2
% 22.38/5.96 |
% 22.38/5.96 | Equations (335) can reduce 42 to:
% 22.38/5.96 | (336) ~ (all_0_12_12 = e2)
% 22.38/5.96 |
% 22.38/5.96 | Equations (335) can reduce 210 to:
% 22.38/5.96 | (345) ~ (e3 = e2)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 345 yields:
% 22.38/5.96 | (111) ~ (e3 = e2)
% 22.38/5.96 |
% 22.38/5.96 | Equations (335) can reduce 963 to:
% 22.38/5.96 | (75) ~ (e2 = e1)
% 22.38/5.96 |
% 22.38/5.96 | Equations (335) can reduce 186 to:
% 22.38/5.96 | (29) ~ (e2 = e0)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (68), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (730) all_0_10_10 = e2
% 22.38/5.96 |
% 22.38/5.96 | Equations (730) can reduce 166 to:
% 22.38/5.96 | (383) ~ (all_0_9_9 = e2)
% 22.38/5.96 |
% 22.38/5.96 | Equations (730) can reduce 23 to:
% 22.38/5.96 | (1210) ~ (all_0_11_11 = e2)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 1210 yields:
% 22.38/5.96 | (343) ~ (all_0_11_11 = e2)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (99), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (223), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (224), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (225), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (226), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (227), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (228), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (229), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (230), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.38/5.96 |
% 22.38/5.96 | Applying alpha-rule on (231) yields:
% 22.38/5.96 | (232) ~ (all_0_8_8 = e3)
% 22.38/5.96 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.38/5.96 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.38/5.96 | (235) all_0_9_9 = e2
% 22.38/5.96 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.38/5.96 |
% 22.38/5.96 | Equations (235) can reduce 383 to:
% 22.38/5.96 | (172) $false
% 22.38/5.96 |
% 22.38/5.96 |-The branch is then unsatisfiable
% 22.38/5.96 |-Branch two:
% 22.38/5.96 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.38/5.96 |
% 22.38/5.96 | Applying alpha-rule on (238) yields:
% 22.38/5.96 | (232) ~ (all_0_8_8 = e3)
% 22.38/5.96 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.38/5.96 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.38/5.96 | (242) all_0_10_10 = e1
% 22.38/5.96 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.38/5.96 |
% 22.38/5.96 | Combining equations (242,730) yields a new equation:
% 22.38/5.96 | (742) e2 = e1
% 22.38/5.96 |
% 22.38/5.96 | Equations (742) can reduce 75 to:
% 22.38/5.96 | (172) $false
% 22.38/5.96 |
% 22.38/5.96 |-The branch is then unsatisfiable
% 22.38/5.96 |-Branch two:
% 22.38/5.96 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.38/5.96 |
% 22.38/5.96 | Applying alpha-rule on (245) yields:
% 22.38/5.96 | (232) ~ (all_0_8_8 = e3)
% 22.38/5.96 | (247) all_0_11_11 = e0
% 22.38/5.96 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.38/5.96 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.38/5.96 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.38/5.96 |
% 22.38/5.96 | Equations (247) can reduce 54 to:
% 22.38/5.96 | (372) ~ (all_0_9_9 = e0)
% 22.38/5.96 |
% 22.38/5.96 | Equations (247) can reduce 129 to:
% 22.38/5.96 | (657) ~ (all_0_15_15 = e0)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 657 yields:
% 22.38/5.96 | (184) ~ (all_0_15_15 = e0)
% 22.38/5.96 |
% 22.38/5.96 | Equations (247) can reduce 343 to:
% 22.38/5.96 | (191) ~ (e2 = e0)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 191 yields:
% 22.38/5.96 | (29) ~ (e2 = e0)
% 22.38/5.96 |
% 22.38/5.96 | Equations (247) can reduce 413 to:
% 22.38/5.96 | (193) ~ (e1 = e0)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 193 yields:
% 22.38/5.96 | (157) ~ (e1 = e0)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (20), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (196) ~ (all_0_8_8 = e1)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (34), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (424) all_0_9_9 = e0
% 22.38/5.96 |
% 22.38/5.96 | Equations (424) can reduce 372 to:
% 22.38/5.96 | (172) $false
% 22.38/5.96 |
% 22.38/5.96 |-The branch is then unsatisfiable
% 22.38/5.96 |-Branch two:
% 22.38/5.96 | (372) ~ (all_0_9_9 = e0)
% 22.38/5.96 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (164), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (392) all_0_12_12 = e0
% 22.38/5.96 |
% 22.38/5.96 | Equations (392) can reduce 336 to:
% 22.38/5.96 | (191) ~ (e2 = e0)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 191 yields:
% 22.38/5.96 | (29) ~ (e2 = e0)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (149), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (200) all_0_8_8 = e3
% 22.38/5.96 |
% 22.38/5.96 | Equations (200) can reduce 232 to:
% 22.38/5.96 | (172) $false
% 22.38/5.96 |
% 22.38/5.96 |-The branch is then unsatisfiable
% 22.38/5.96 |-Branch two:
% 22.38/5.96 | (232) ~ (all_0_8_8 = e3)
% 22.38/5.96 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (664), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (447) all_0_13_13 = e0
% 22.38/5.96 |
% 22.38/5.96 | Combining equations (382,447) yields a new equation:
% 22.38/5.96 | (499) e2 = e0
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 499 yields:
% 22.38/5.96 | (500) e2 = e0
% 22.38/5.96 |
% 22.38/5.96 | Equations (500) can reduce 29 to:
% 22.38/5.96 | (172) $false
% 22.38/5.96 |
% 22.38/5.96 |-The branch is then unsatisfiable
% 22.38/5.96 |-Branch two:
% 22.38/5.96 | (373) ~ (all_0_13_13 = e0)
% 22.38/5.96 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (1829), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (254) all_0_12_12 = e3
% 22.38/5.96 |
% 22.38/5.96 | Combining equations (254,392) yields a new equation:
% 22.38/5.96 | (564) e3 = e0
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 564 yields:
% 22.38/5.96 | (323) e3 = e0
% 22.38/5.96 |
% 22.38/5.96 | Equations (323) can reduce 3 to:
% 22.38/5.96 | (172) $false
% 22.38/5.96 |
% 22.38/5.96 |-The branch is then unsatisfiable
% 22.38/5.96 |-Branch two:
% 22.38/5.96 | (206) ~ (all_0_12_12 = e3)
% 22.38/5.96 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 22.38/5.96 |
% 22.38/5.96 | Equations (392) can reduce 206 to:
% 22.38/5.96 | (189) ~ (e3 = e0)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 189 yields:
% 22.38/5.96 | (3) ~ (e3 = e0)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (668), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (371) all_0_17_17 = e0
% 22.38/5.96 |
% 22.38/5.96 | Equations (371) can reduce 10 to:
% 22.38/5.96 | (675) ~ (all_0_19_19 = e0)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 675 yields:
% 22.38/5.96 | (185) ~ (all_0_19_19 = e0)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (2092), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (277) all_0_16_16 = e3
% 22.38/5.96 |
% 22.38/5.96 | Equations (277) can reduce 138 to:
% 22.38/5.96 | (316) ~ (all_0_19_19 = e3)
% 22.38/5.96 |
% 22.38/5.96 | Simplifying 316 yields:
% 22.38/5.96 | (317) ~ (all_0_19_19 = e3)
% 22.38/5.96 |
% 22.38/5.96 +-Applying beta-rule and splitting (52), into two cases.
% 22.38/5.96 |-Branch one:
% 22.38/5.96 | (331) all_0_19_19 = e3
% 22.38/5.97 |
% 22.38/5.97 | Equations (331) can reduce 317 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (317) ~ (all_0_19_19 = e3)
% 22.38/5.97 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (334), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (342) all_0_19_19 = e2
% 22.38/5.97 |
% 22.38/5.97 | Equations (342) can reduce 312 to:
% 22.38/5.97 | (75) ~ (e2 = e1)
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (146), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (621) all_0_8_8 = e1
% 22.38/5.97 |
% 22.38/5.97 | Equations (621) can reduce 196 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (196) ~ (all_0_8_8 = e1)
% 22.38/5.97 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (778), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (389) all_0_12_12 = e1
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (389,392) yields a new equation:
% 22.38/5.97 | (542) e1 = e0
% 22.38/5.97 |
% 22.38/5.97 | Simplifying 542 yields:
% 22.38/5.97 | (543) e1 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (543) can reduce 157 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (307) ~ (all_0_12_12 = e1)
% 22.38/5.97 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (2268), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (305) all_0_16_16 = e1
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (277,305) yields a new equation:
% 22.38/5.97 | (555) e3 = e1
% 22.38/5.97 |
% 22.38/5.97 | Simplifying 555 yields:
% 22.38/5.97 | (556) e3 = e1
% 22.38/5.97 |
% 22.38/5.97 | Equations (556) can reduce 163 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (770) ~ (all_0_16_16 = e1)
% 22.38/5.97 | (952) all_0_20_20 = e1
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (335,952) yields a new equation:
% 22.38/5.97 | (966) e2 = e1
% 22.38/5.97 |
% 22.38/5.97 | Simplifying 966 yields:
% 22.38/5.97 | (742) e2 = e1
% 22.38/5.97 |
% 22.38/5.97 | Equations (742) can reduce 75 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (456) ~ (all_0_19_19 = e2)
% 22.38/5.97 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (457), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (458) all_0_19_19 = e1
% 22.38/5.97 |
% 22.38/5.97 | Equations (458) can reduce 312 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (312) ~ (all_0_19_19 = e1)
% 22.38/5.97 | (291) all_0_19_19 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (291) can reduce 185 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (208) ~ (all_0_16_16 = e3)
% 22.38/5.97 | (327) all_0_20_20 = e3
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (335,327) yields a new equation:
% 22.38/5.97 | (352) e3 = e2
% 22.38/5.97 |
% 22.38/5.97 | Equations (352) can reduce 111 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (1184) ~ (all_0_17_17 = e0)
% 22.38/5.97 | (1185) all_0_21_21 = e0
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (1185,356) yields a new equation:
% 22.38/5.97 | (323) e3 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (323) can reduce 3 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (606) ~ (all_0_12_12 = e0)
% 22.38/5.97 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (1766), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (447) all_0_13_13 = e0
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (382,447) yields a new equation:
% 22.38/5.97 | (499) e2 = e0
% 22.38/5.97 |
% 22.38/5.97 | Simplifying 499 yields:
% 22.38/5.97 | (500) e2 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (500) can reduce 29 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (373) ~ (all_0_13_13 = e0)
% 22.38/5.97 | (3431) all_0_14_14 = e0 | all_0_15_15 = e0
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (3431), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (529) all_0_14_14 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (529) can reduce 470 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (470) ~ (all_0_14_14 = e0)
% 22.38/5.97 | (270) all_0_15_15 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (270) can reduce 184 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (621) all_0_8_8 = e1
% 22.38/5.97 | (695) all_0_10_10 = e3
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (695,730) yields a new equation:
% 22.38/5.97 | (511) e3 = e2
% 22.38/5.97 |
% 22.38/5.97 | Simplifying 511 yields:
% 22.38/5.97 | (352) e3 = e2
% 22.38/5.97 |
% 22.38/5.97 | Equations (352) can reduce 111 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.38/5.97 |
% 22.38/5.97 | Applying alpha-rule on (252) yields:
% 22.38/5.97 | (253) ~ (all_0_13_13 = e2)
% 22.38/5.97 | (254) all_0_12_12 = e3
% 22.38/5.97 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.38/5.97 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.38/5.97 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.38/5.97 |
% 22.38/5.97 | Equations (382) can reduce 253 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.38/5.97 |
% 22.38/5.97 | Applying alpha-rule on (259) yields:
% 22.38/5.97 | (253) ~ (all_0_13_13 = e2)
% 22.38/5.97 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.38/5.97 | (262) all_0_14_14 = e1
% 22.38/5.97 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.38/5.97 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.38/5.97 |
% 22.38/5.97 | Equations (382) can reduce 253 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.38/5.97 |
% 22.38/5.97 | Applying alpha-rule on (266) yields:
% 22.38/5.97 | (253) ~ (all_0_13_13 = e2)
% 22.38/5.97 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.38/5.97 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.38/5.97 | (270) all_0_15_15 = e0
% 22.38/5.97 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.38/5.97 |
% 22.38/5.97 | Equations (382) can reduce 253 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.38/5.97 |
% 22.38/5.97 | Applying alpha-rule on (273) yields:
% 22.38/5.97 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.38/5.97 | (275) ~ (all_0_18_18 = e1)
% 22.38/5.97 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.38/5.97 | (277) all_0_16_16 = e3
% 22.38/5.97 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (276), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (168) ~ (all_0_23_23 = e1)
% 22.38/5.97 |
% 22.38/5.97 | Equations (179) can reduce 168 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (179) all_0_23_23 = e1
% 22.38/5.97 | (188) ~ (all_0_22_22 = e0)
% 22.38/5.97 |
% 22.38/5.97 | Equations (583) can reduce 188 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.38/5.97 |
% 22.38/5.97 | Applying alpha-rule on (280) yields:
% 22.38/5.97 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.38/5.97 | (282) all_0_17_17 = e2
% 22.38/5.97 | (275) ~ (all_0_18_18 = e1)
% 22.38/5.97 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.38/5.97 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.38/5.97 |
% 22.38/5.97 | Equations (282) can reduce 344 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.38/5.97 |
% 22.38/5.97 | Applying alpha-rule on (287) yields:
% 22.38/5.97 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.38/5.97 | (275) ~ (all_0_18_18 = e1)
% 22.38/5.97 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.38/5.97 | (291) all_0_19_19 = e0
% 22.38/5.97 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (276), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (168) ~ (all_0_23_23 = e1)
% 22.38/5.97 |
% 22.38/5.97 | Equations (179) can reduce 168 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (179) all_0_23_23 = e1
% 22.38/5.97 | (188) ~ (all_0_22_22 = e0)
% 22.38/5.97 |
% 22.38/5.97 | Equations (583) can reduce 188 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 22.38/5.97 |
% 22.38/5.97 | Applying alpha-rule on (294) yields:
% 22.38/5.97 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 22.38/5.97 | (296) ~ (all_0_23_23 = e0)
% 22.38/5.97 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 22.38/5.97 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 22.38/5.97 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 22.38/5.97 |
% 22.38/5.97 | Equations (179) can reduce 296 to:
% 22.38/5.97 | (157) ~ (e1 = e0)
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (295), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (327) all_0_20_20 = e3
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (335,327) yields a new equation:
% 22.38/5.97 | (352) e3 = e2
% 22.38/5.97 |
% 22.38/5.97 | Equations (352) can reduce 111 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (210) ~ (all_0_20_20 = e3)
% 22.38/5.97 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 22.38/5.97 |
% 22.38/5.97 | Equations (335) can reduce 210 to:
% 22.38/5.97 | (345) ~ (e3 = e2)
% 22.38/5.97 |
% 22.38/5.97 | Simplifying 345 yields:
% 22.38/5.97 | (111) ~ (e3 = e2)
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (4710), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (510) all_0_21_21 = e2
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (510,356) yields a new equation:
% 22.38/5.97 | (352) e3 = e2
% 22.38/5.97 |
% 22.38/5.97 | Equations (352) can reduce 111 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (514) ~ (all_0_21_21 = e2)
% 22.38/5.97 | (864) all_0_22_22 = e1
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (583,864) yields a new equation:
% 22.38/5.97 | (543) e1 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (543) can reduce 157 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (985) ~ (all_0_10_10 = e2)
% 22.38/5.97 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (986), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (522) all_0_14_14 = e2
% 22.38/5.97 |
% 22.38/5.97 | Equations (522) can reduce 521 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (521) ~ (all_0_14_14 = e2)
% 22.38/5.97 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (999), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (216) all_0_18_18 = e2
% 22.38/5.97 |
% 22.38/5.97 | Equations (216) can reduce 195 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (195) ~ (all_0_18_18 = e2)
% 22.38/5.97 | (520) all_0_22_22 = e2
% 22.38/5.97 |
% 22.38/5.97 | Combining equations (583,520) yields a new equation:
% 22.38/5.97 | (500) e2 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (500) can reduce 29 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (466) ~ (all_0_20_20 = e2)
% 22.38/5.97 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (467), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (952) all_0_20_20 = e1
% 22.38/5.97 |
% 22.38/5.97 | Equations (952) can reduce 963 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (963) ~ (all_0_20_20 = e1)
% 22.38/5.97 | (613) all_0_20_20 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (613) can reduce 186 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (449) ~ (all_0_21_21 = e3)
% 22.38/5.97 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (2018), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (510) all_0_21_21 = e2
% 22.38/5.97 |
% 22.38/5.97 | Equations (510) can reduce 514 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (514) ~ (all_0_21_21 = e2)
% 22.38/5.97 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (2022), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (554) all_0_21_21 = e1
% 22.38/5.97 |
% 22.38/5.97 | Equations (554) can reduce 969 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (969) ~ (all_0_21_21 = e1)
% 22.38/5.97 | (1185) all_0_21_21 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (1185) can reduce 187 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (253) ~ (all_0_13_13 = e2)
% 22.38/5.97 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 22.38/5.97 |
% 22.38/5.97 +-Applying beta-rule and splitting (443), into two cases.
% 22.38/5.97 |-Branch one:
% 22.38/5.97 | (444) all_0_13_13 = e1
% 22.38/5.97 |
% 22.38/5.97 | Equations (444) can reduce 167 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (167) ~ (all_0_13_13 = e1)
% 22.38/5.97 | (447) all_0_13_13 = e0
% 22.38/5.97 |
% 22.38/5.97 | Equations (447) can reduce 373 to:
% 22.38/5.97 | (172) $false
% 22.38/5.97 |
% 22.38/5.97 |-The branch is then unsatisfiable
% 22.38/5.97 |-Branch two:
% 22.38/5.97 | (447) all_0_13_13 = e0
% 22.38/5.97 | (752) all_0_15_15 = e2
% 22.38/5.97 |
% 22.38/5.97 | Equations (447) can reduce 22 to:
% 22.38/5.97 | (372) ~ (all_0_9_9 = e0)
% 22.38/5.97 |
% 22.38/5.97 | Equations (447) can reduce 93 to:
% 22.38/5.97 | (606) ~ (all_0_12_12 = e0)
% 22.38/5.97 |
% 22.38/5.97 | Equations (752) can reduce 30 to:
% 22.38/5.97 | (336) ~ (all_0_12_12 = e2)
% 22.38/5.97 |
% 22.38/5.97 | Equations (447) can reduce 12 to:
% 22.38/5.97 | (469) ~ (all_0_14_14 = e0)
% 22.38/5.97 |
% 22.38/5.97 | Simplifying 469 yields:
% 22.38/5.97 | (470) ~ (all_0_14_14 = e0)
% 22.38/5.97 |
% 22.38/5.97 | Equations (447,752) can reduce 135 to:
% 22.38/5.97 | (191) ~ (e2 = e0)
% 22.38/5.97 |
% 22.38/5.97 | Simplifying 191 yields:
% 22.38/5.97 | (29) ~ (e2 = e0)
% 22.38/5.97 |
% 22.38/5.97 | Equations (447) can reduce 5 to:
% 22.38/5.98 | (1781) ~ (all_0_17_17 = e0)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 1781 yields:
% 22.38/5.98 | (1184) ~ (all_0_17_17 = e0)
% 22.38/5.98 |
% 22.38/5.98 | Equations (447) can reduce 104 to:
% 22.38/5.98 | (1547) ~ (all_0_21_21 = e0)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 1547 yields:
% 22.38/5.98 | (187) ~ (all_0_21_21 = e0)
% 22.38/5.98 |
% 22.38/5.98 | Equations (447) can reduce 337 to:
% 22.38/5.98 | (189) ~ (e3 = e0)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 189 yields:
% 22.38/5.98 | (3) ~ (e3 = e0)
% 22.38/5.98 |
% 22.38/5.98 | Equations (752) can reduce 71 to:
% 22.38/5.98 | (521) ~ (all_0_14_14 = e2)
% 22.38/5.98 |
% 22.38/5.98 | Equations (752) can reduce 89 to:
% 22.38/5.98 | (4783) ~ (all_0_19_19 = e2)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 4783 yields:
% 22.38/5.98 | (456) ~ (all_0_19_19 = e2)
% 22.38/5.98 |
% 22.38/5.98 | Equations (752) can reduce 536 to:
% 22.38/5.98 | (75) ~ (e2 = e1)
% 22.38/5.98 |
% 22.38/5.98 +-Applying beta-rule and splitting (68), into two cases.
% 22.38/5.98 |-Branch one:
% 22.38/5.98 | (730) all_0_10_10 = e2
% 22.38/5.98 |
% 22.38/5.98 | Equations (730) can reduce 166 to:
% 22.38/5.98 | (383) ~ (all_0_9_9 = e2)
% 22.38/5.98 |
% 22.38/5.98 | Equations (730) can reduce 40 to:
% 22.38/5.98 | (6400) ~ (all_0_14_14 = e2)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 6400 yields:
% 22.38/5.98 | (521) ~ (all_0_14_14 = e2)
% 22.38/5.98 |
% 22.38/5.98 | Equations (730) can reduce 51 to:
% 22.38/5.98 | (732) ~ (all_0_18_18 = e2)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 732 yields:
% 22.38/5.98 | (195) ~ (all_0_18_18 = e2)
% 22.38/5.98 |
% 22.38/5.98 | Equations (730) can reduce 426 to:
% 22.38/5.98 | (29) ~ (e2 = e0)
% 22.38/5.98 |
% 22.38/5.98 +-Applying beta-rule and splitting (20), into two cases.
% 22.38/5.98 |-Branch one:
% 22.38/5.98 | (196) ~ (all_0_8_8 = e1)
% 22.38/5.98 |
% 22.38/5.98 +-Applying beta-rule and splitting (47), into two cases.
% 22.38/5.98 |-Branch one:
% 22.38/5.98 | (621) all_0_8_8 = e1
% 22.38/5.98 |
% 22.38/5.98 | Equations (621) can reduce 196 to:
% 22.38/5.98 | (172) $false
% 22.38/5.98 |
% 22.38/5.98 |-The branch is then unsatisfiable
% 22.38/5.98 |-Branch two:
% 22.38/5.98 | (196) ~ (all_0_8_8 = e1)
% 22.38/5.98 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.38/5.98 |
% 22.38/5.98 +-Applying beta-rule and splitting (751), into two cases.
% 22.38/5.98 |-Branch one:
% 22.38/5.98 | (411) all_0_9_9 = e1
% 22.38/5.98 |
% 22.38/5.98 | Equations (411) can reduce 54 to:
% 22.38/5.98 | (412) ~ (all_0_11_11 = e1)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 412 yields:
% 22.38/5.98 | (413) ~ (all_0_11_11 = e1)
% 22.38/5.98 |
% 22.38/5.98 | Equations (411) can reduce 74 to:
% 22.38/5.98 | (2325) ~ (all_0_21_21 = e1)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 2325 yields:
% 22.38/5.98 | (969) ~ (all_0_21_21 = e1)
% 22.38/5.98 |
% 22.38/5.98 | Equations (411) can reduce 383 to:
% 22.38/5.98 | (924) ~ (e2 = e1)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 924 yields:
% 22.38/5.98 | (75) ~ (e2 = e1)
% 22.38/5.98 |
% 22.38/5.98 | Equations (411) can reduce 372 to:
% 22.38/5.98 | (157) ~ (e1 = e0)
% 22.38/5.98 |
% 22.38/5.98 +-Applying beta-rule and splitting (127), into two cases.
% 22.38/5.98 |-Branch one:
% 22.38/5.98 | (211) ~ (all_0_18_18 = e3)
% 22.38/5.98 |
% 22.38/5.98 +-Applying beta-rule and splitting (33), into two cases.
% 22.38/5.98 |-Branch one:
% 22.38/5.98 | (212) all_0_18_18 = e3
% 22.38/5.98 |
% 22.38/5.98 | Equations (212) can reduce 211 to:
% 22.38/5.98 | (172) $false
% 22.38/5.98 |
% 22.38/5.98 |-The branch is then unsatisfiable
% 22.38/5.98 |-Branch two:
% 22.38/5.98 | (211) ~ (all_0_18_18 = e3)
% 22.38/5.98 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 22.38/5.98 |
% 22.38/5.98 +-Applying beta-rule and splitting (215), into two cases.
% 22.38/5.98 |-Branch one:
% 22.38/5.98 | (216) all_0_18_18 = e2
% 22.38/5.98 |
% 22.38/5.98 | Equations (216) can reduce 195 to:
% 22.38/5.98 | (172) $false
% 22.38/5.98 |
% 22.38/5.98 |-The branch is then unsatisfiable
% 22.38/5.98 |-Branch two:
% 22.38/5.98 | (195) ~ (all_0_18_18 = e2)
% 22.38/5.98 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 22.38/5.98 |
% 22.38/5.98 +-Applying beta-rule and splitting (219), into two cases.
% 22.38/5.98 |-Branch one:
% 22.38/5.98 | (220) all_0_18_18 = e1
% 22.38/5.98 |
% 22.38/5.98 | Equations (220) can reduce 43 to:
% 22.38/5.98 | (311) ~ (all_0_19_19 = e1)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 311 yields:
% 22.38/5.98 | (312) ~ (all_0_19_19 = e1)
% 22.38/5.98 |
% 22.38/5.98 | Equations (220) can reduce 211 to:
% 22.38/5.98 | (313) ~ (e3 = e1)
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 313 yields:
% 22.38/5.98 | (163) ~ (e3 = e1)
% 22.38/5.98 |
% 22.38/5.98 +-Applying beta-rule and splitting (27), into two cases.
% 22.38/5.98 |-Branch one:
% 22.38/5.98 | (695) all_0_10_10 = e3
% 22.38/5.98 |
% 22.38/5.98 | Combining equations (695,730) yields a new equation:
% 22.38/5.98 | (511) e3 = e2
% 22.38/5.98 |
% 22.38/5.98 | Simplifying 511 yields:
% 22.38/5.98 | (352) e3 = e2
% 22.38/5.98 |
% 22.38/5.98 | Equations (352) can reduce 111 to:
% 22.38/5.98 | (172) $false
% 22.38/5.98 |
% 22.38/5.98 |-The branch is then unsatisfiable
% 22.38/5.98 |-Branch two:
% 22.38/5.98 | (306) ~ (all_0_10_10 = e3)
% 22.38/5.98 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 22.38/5.98 |
% 22.38/5.98 | Equations (730) can reduce 306 to:
% 22.38/5.98 | (345) ~ (e3 = e2)
% 22.72/5.98 |
% 22.72/5.98 | Simplifying 345 yields:
% 22.72/5.98 | (111) ~ (e3 = e2)
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (698), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (516) all_0_14_14 = e3
% 22.72/5.98 |
% 22.72/5.98 | Equations (516) can reduce 60 to:
% 22.72/5.98 | (206) ~ (all_0_12_12 = e3)
% 22.72/5.98 |
% 22.72/5.98 | Equations (516) can reduce 521 to:
% 22.72/5.98 | (111) ~ (e3 = e2)
% 22.72/5.98 |
% 22.72/5.98 | Equations (516) can reduce 470 to:
% 22.72/5.98 | (3) ~ (e3 = e0)
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (78), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (254) all_0_12_12 = e3
% 22.72/5.98 |
% 22.72/5.98 | Equations (254) can reduce 206 to:
% 22.72/5.98 | (172) $false
% 22.72/5.98 |
% 22.72/5.98 |-The branch is then unsatisfiable
% 22.72/5.98 |-Branch two:
% 22.72/5.98 | (206) ~ (all_0_12_12 = e3)
% 22.72/5.98 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (381), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (385) all_0_12_12 = e2
% 22.72/5.98 |
% 22.72/5.98 | Equations (385) can reduce 336 to:
% 22.72/5.98 | (172) $false
% 22.72/5.98 |
% 22.72/5.98 |-The branch is then unsatisfiable
% 22.72/5.98 |-Branch two:
% 22.72/5.98 | (336) ~ (all_0_12_12 = e2)
% 22.72/5.98 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (388), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (389) all_0_12_12 = e1
% 22.72/5.98 |
% 22.72/5.98 | Equations (389) can reduce 42 to:
% 22.72/5.98 | (2141) ~ (all_0_20_20 = e1)
% 22.72/5.98 |
% 22.72/5.98 | Simplifying 2141 yields:
% 22.72/5.98 | (963) ~ (all_0_20_20 = e1)
% 22.72/5.98 |
% 22.72/5.98 | Equations (389) can reduce 206 to:
% 22.72/5.98 | (313) ~ (e3 = e1)
% 22.72/5.98 |
% 22.72/5.98 | Simplifying 313 yields:
% 22.72/5.98 | (163) ~ (e3 = e1)
% 22.72/5.98 |
% 22.72/5.98 | Equations (389) can reduce 336 to:
% 22.72/5.98 | (924) ~ (e2 = e1)
% 22.72/5.98 |
% 22.72/5.98 | Simplifying 924 yields:
% 22.72/5.98 | (75) ~ (e2 = e1)
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (99), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (223), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (224), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (225), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (226), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.72/5.98 |
% 22.72/5.98 +-Applying beta-rule and splitting (227), into two cases.
% 22.72/5.98 |-Branch one:
% 22.72/5.98 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.75/5.98 |
% 22.75/5.98 +-Applying beta-rule and splitting (228), into two cases.
% 22.75/5.98 |-Branch one:
% 22.75/5.98 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (229), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (230), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.75/5.99 |
% 22.75/5.99 | Applying alpha-rule on (231) yields:
% 22.75/5.99 | (232) ~ (all_0_8_8 = e3)
% 22.75/5.99 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.75/5.99 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.75/5.99 | (235) all_0_9_9 = e2
% 22.75/5.99 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (235,411) yields a new equation:
% 22.75/5.99 | (966) e2 = e1
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 966 yields:
% 22.75/5.99 | (742) e2 = e1
% 22.75/5.99 |
% 22.75/5.99 | Equations (742) can reduce 75 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.75/5.99 |
% 22.75/5.99 | Applying alpha-rule on (238) yields:
% 22.75/5.99 | (232) ~ (all_0_8_8 = e3)
% 22.75/5.99 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.75/5.99 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.75/5.99 | (242) all_0_10_10 = e1
% 22.75/5.99 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (242,730) yields a new equation:
% 22.75/5.99 | (742) e2 = e1
% 22.75/5.99 |
% 22.75/5.99 | Equations (742) can reduce 75 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.75/5.99 |
% 22.75/5.99 | Applying alpha-rule on (245) yields:
% 22.75/5.99 | (232) ~ (all_0_8_8 = e3)
% 22.75/5.99 | (247) all_0_11_11 = e0
% 22.75/5.99 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.75/5.99 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.75/5.99 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.75/5.99 |
% 22.75/5.99 | Equations (247) can reduce 132 to:
% 22.75/5.99 | (675) ~ (all_0_19_19 = e0)
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 675 yields:
% 22.75/5.99 | (185) ~ (all_0_19_19 = e0)
% 22.75/5.99 |
% 22.75/5.99 | Equations (247) can reduce 413 to:
% 22.75/5.99 | (193) ~ (e1 = e0)
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 193 yields:
% 22.75/5.99 | (157) ~ (e1 = e0)
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (26), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (200) all_0_8_8 = e3
% 22.75/5.99 |
% 22.75/5.99 | Equations (200) can reduce 232 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (232) ~ (all_0_8_8 = e3)
% 22.75/5.99 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (92), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (200) all_0_8_8 = e3
% 22.75/5.99 |
% 22.75/5.99 | Equations (200) can reduce 232 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (232) ~ (all_0_8_8 = e3)
% 22.75/5.99 | (7571) all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (65), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (399) all_0_11_11 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (399,247) yields a new equation:
% 22.75/5.99 | (564) e3 = e0
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 564 yields:
% 22.75/5.99 | (323) e3 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (323) can reduce 3 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (204) ~ (all_0_11_11 = e3)
% 22.75/5.99 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (1358), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (726) all_0_15_15 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (752,726) yields a new equation:
% 22.75/5.99 | (352) e3 = e2
% 22.75/5.99 |
% 22.75/5.99 | Equations (352) can reduce 111 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (642) ~ (all_0_15_15 = e3)
% 22.75/5.99 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (8093), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (331) all_0_19_19 = e3
% 22.75/5.99 |
% 22.75/5.99 | Equations (331) can reduce 138 to:
% 22.75/5.99 | (208) ~ (all_0_16_16 = e3)
% 22.75/5.99 |
% 22.75/5.99 | Equations (331) can reduce 312 to:
% 22.75/5.99 | (163) ~ (e3 = e1)
% 22.75/5.99 |
% 22.75/5.99 | Equations (331) can reduce 185 to:
% 22.75/5.99 | (3) ~ (e3 = e0)
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (151), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (338) all_0_9_9 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (338,411) yields a new equation:
% 22.75/5.99 | (555) e3 = e1
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 555 yields:
% 22.75/5.99 | (556) e3 = e1
% 22.75/5.99 |
% 22.75/5.99 | Equations (556) can reduce 163 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (202) ~ (all_0_9_9 = e3)
% 22.75/5.99 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 22.75/5.99 |
% 22.75/5.99 | Equations (411) can reduce 202 to:
% 22.75/5.99 | (313) ~ (e3 = e1)
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 313 yields:
% 22.75/5.99 | (163) ~ (e3 = e1)
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (117), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (608) all_0_16_16 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (608) can reduce 101 to:
% 22.75/5.99 | (634) ~ (all_0_20_20 = e0)
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 634 yields:
% 22.75/5.99 | (186) ~ (all_0_20_20 = e0)
% 22.75/5.99 |
% 22.75/5.99 | Equations (608) can reduce 208 to:
% 22.75/5.99 | (189) ~ (e3 = e0)
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 189 yields:
% 22.75/5.99 | (3) ~ (e3 = e0)
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (341), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (347) all_0_13_13 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (447,347) yields a new equation:
% 22.75/5.99 | (323) e3 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (323) can reduce 3 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (337) ~ (all_0_13_13 = e3)
% 22.75/5.99 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 22.75/5.99 |
% 22.75/5.99 | Equations (447) can reduce 337 to:
% 22.75/5.99 | (189) ~ (e3 = e0)
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 189 yields:
% 22.75/5.99 | (3) ~ (e3 = e0)
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (149), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (200) all_0_8_8 = e3
% 22.75/5.99 |
% 22.75/5.99 | Equations (200) can reduce 232 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (232) ~ (all_0_8_8 = e3)
% 22.75/5.99 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (1829), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (254) all_0_12_12 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (254,389) yields a new equation:
% 22.75/5.99 | (555) e3 = e1
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 555 yields:
% 22.75/5.99 | (556) e3 = e1
% 22.75/5.99 |
% 22.75/5.99 | Equations (556) can reduce 163 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (206) ~ (all_0_12_12 = e3)
% 22.75/5.99 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (2092), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (277) all_0_16_16 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (608,277) yields a new equation:
% 22.75/5.99 | (323) e3 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (323) can reduce 3 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (208) ~ (all_0_16_16 = e3)
% 22.75/5.99 | (327) all_0_20_20 = e3
% 22.75/5.99 |
% 22.75/5.99 | Equations (327) can reduce 7 to:
% 22.75/5.99 | (1837) ~ (all_0_21_21 = e3)
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 1837 yields:
% 22.75/5.99 | (449) ~ (all_0_21_21 = e3)
% 22.75/5.99 |
% 22.75/5.99 | Equations (327) can reduce 963 to:
% 22.75/5.99 | (163) ~ (e3 = e1)
% 22.75/5.99 |
% 22.75/5.99 | Equations (327) can reduce 186 to:
% 22.75/5.99 | (3) ~ (e3 = e0)
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (4), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (356) all_0_21_21 = e3
% 22.75/5.99 |
% 22.75/5.99 | Equations (356) can reduce 449 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (449) ~ (all_0_21_21 = e3)
% 22.75/5.99 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (2018), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (510) all_0_21_21 = e2
% 22.75/5.99 |
% 22.75/5.99 | Equations (510) can reduce 449 to:
% 22.75/5.99 | (345) ~ (e3 = e2)
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 345 yields:
% 22.75/5.99 | (111) ~ (e3 = e2)
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (7571), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (338) all_0_9_9 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (411,338) yields a new equation:
% 22.75/5.99 | (556) e3 = e1
% 22.75/5.99 |
% 22.75/5.99 | Equations (556) can reduce 163 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (202) ~ (all_0_9_9 = e3)
% 22.75/5.99 | (7682) all_0_10_10 = e3 | all_0_11_11 = e3
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (7682), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (695) all_0_10_10 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (695,730) yields a new equation:
% 22.75/5.99 | (511) e3 = e2
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 511 yields:
% 22.75/5.99 | (352) e3 = e2
% 22.75/5.99 |
% 22.75/5.99 | Equations (352) can reduce 111 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (306) ~ (all_0_10_10 = e3)
% 22.75/5.99 | (399) all_0_11_11 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (247,399) yields a new equation:
% 22.75/5.99 | (323) e3 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (323) can reduce 3 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (514) ~ (all_0_21_21 = e2)
% 22.75/5.99 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (2022), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (554) all_0_21_21 = e1
% 22.75/5.99 |
% 22.75/5.99 | Equations (554) can reduce 969 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (969) ~ (all_0_21_21 = e1)
% 22.75/5.99 | (1185) all_0_21_21 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (1185) can reduce 187 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (612) ~ (all_0_16_16 = e0)
% 22.75/5.99 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (653), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (371) all_0_17_17 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (371) can reduce 1184 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (1184) ~ (all_0_17_17 = e0)
% 22.75/5.99 | (1198) all_0_18_18 = e0 | all_0_19_19 = e0
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (341), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (347) all_0_13_13 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (447,347) yields a new equation:
% 22.75/5.99 | (323) e3 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (323) can reduce 3 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (337) ~ (all_0_13_13 = e3)
% 22.75/5.99 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 22.75/5.99 |
% 22.75/5.99 | Equations (447) can reduce 337 to:
% 22.75/5.99 | (189) ~ (e3 = e0)
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 189 yields:
% 22.75/5.99 | (3) ~ (e3 = e0)
% 22.75/5.99 |
% 22.75/5.99 +-Applying beta-rule and splitting (1198), into two cases.
% 22.75/5.99 |-Branch one:
% 22.75/5.99 | (302) all_0_18_18 = e0
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (220,302) yields a new equation:
% 22.75/5.99 | (542) e1 = e0
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 542 yields:
% 22.75/5.99 | (543) e1 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (543) can reduce 157 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (197) ~ (all_0_18_18 = e0)
% 22.75/5.99 | (291) all_0_19_19 = e0
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (331,291) yields a new equation:
% 22.75/5.99 | (564) e3 = e0
% 22.75/5.99 |
% 22.75/5.99 | Simplifying 564 yields:
% 22.75/5.99 | (323) e3 = e0
% 22.75/5.99 |
% 22.75/5.99 | Equations (323) can reduce 3 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (317) ~ (all_0_19_19 = e3)
% 22.75/5.99 | (171) all_0_23_23 = e3
% 22.75/5.99 |
% 22.75/5.99 | Combining equations (179,171) yields a new equation:
% 22.75/5.99 | (556) e3 = e1
% 22.75/5.99 |
% 22.75/5.99 | Equations (556) can reduce 163 to:
% 22.75/5.99 | (172) $false
% 22.75/5.99 |
% 22.75/5.99 |-The branch is then unsatisfiable
% 22.75/5.99 |-Branch two:
% 22.75/5.99 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.75/5.99 |
% 22.75/5.99 | Applying alpha-rule on (252) yields:
% 22.75/5.99 | (253) ~ (all_0_13_13 = e2)
% 22.75/5.99 | (254) all_0_12_12 = e3
% 22.75/5.99 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.75/5.99 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.75/5.99 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (254,389) yields a new equation:
% 22.75/6.00 | (555) e3 = e1
% 22.75/6.00 |
% 22.75/6.00 | Simplifying 555 yields:
% 22.75/6.00 | (556) e3 = e1
% 22.75/6.00 |
% 22.75/6.00 | Equations (556) can reduce 163 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.75/6.00 |
% 22.75/6.00 | Applying alpha-rule on (259) yields:
% 22.75/6.00 | (253) ~ (all_0_13_13 = e2)
% 22.75/6.00 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.75/6.00 | (262) all_0_14_14 = e1
% 22.75/6.00 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.75/6.00 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (516,262) yields a new equation:
% 22.75/6.00 | (555) e3 = e1
% 22.75/6.00 |
% 22.75/6.00 | Simplifying 555 yields:
% 22.75/6.00 | (556) e3 = e1
% 22.75/6.00 |
% 22.75/6.00 | Equations (556) can reduce 163 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.75/6.00 |
% 22.75/6.00 | Applying alpha-rule on (266) yields:
% 22.75/6.00 | (253) ~ (all_0_13_13 = e2)
% 22.75/6.00 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.75/6.00 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.75/6.00 | (270) all_0_15_15 = e0
% 22.75/6.00 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (752,270) yields a new equation:
% 22.75/6.00 | (499) e2 = e0
% 22.75/6.00 |
% 22.75/6.00 | Simplifying 499 yields:
% 22.75/6.00 | (500) e2 = e0
% 22.75/6.00 |
% 22.75/6.00 | Equations (500) can reduce 29 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.75/6.00 |
% 22.75/6.00 | Applying alpha-rule on (273) yields:
% 22.75/6.00 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.75/6.00 | (275) ~ (all_0_18_18 = e1)
% 22.75/6.00 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.75/6.00 | (277) all_0_16_16 = e3
% 22.75/6.00 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.75/6.00 |
% 22.75/6.00 | Equations (220) can reduce 275 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.75/6.00 |
% 22.75/6.00 | Applying alpha-rule on (280) yields:
% 22.75/6.00 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.75/6.00 | (282) all_0_17_17 = e2
% 22.75/6.00 | (275) ~ (all_0_18_18 = e1)
% 22.75/6.00 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.75/6.00 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.75/6.00 |
% 22.75/6.00 | Equations (220) can reduce 275 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.75/6.00 |
% 22.75/6.00 | Applying alpha-rule on (287) yields:
% 22.75/6.00 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.75/6.00 | (275) ~ (all_0_18_18 = e1)
% 22.75/6.00 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.75/6.00 | (291) all_0_19_19 = e0
% 22.75/6.00 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.75/6.00 |
% 22.75/6.00 | Equations (220) can reduce 275 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 22.75/6.00 |
% 22.75/6.00 | Applying alpha-rule on (294) yields:
% 22.75/6.00 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 22.75/6.00 | (296) ~ (all_0_23_23 = e0)
% 22.75/6.00 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 22.75/6.00 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 22.75/6.00 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (298), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (725) ~ (all_0_15_15 = e2)
% 22.75/6.00 |
% 22.75/6.00 | Equations (752) can reduce 725 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (752) all_0_15_15 = e2
% 22.75/6.00 | (373) ~ (all_0_13_13 = e0)
% 22.75/6.00 |
% 22.75/6.00 | Equations (447) can reduce 373 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (307) ~ (all_0_12_12 = e1)
% 22.75/6.00 | (392) all_0_12_12 = e0
% 22.75/6.00 |
% 22.75/6.00 | Equations (392) can reduce 606 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (308) ~ (all_0_14_14 = e3)
% 22.75/6.00 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (165), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (254) all_0_12_12 = e3
% 22.75/6.00 |
% 22.75/6.00 | Equations (254) can reduce 42 to:
% 22.75/6.00 | (209) ~ (all_0_20_20 = e3)
% 22.75/6.00 |
% 22.75/6.00 | Simplifying 209 yields:
% 22.75/6.00 | (210) ~ (all_0_20_20 = e3)
% 22.75/6.00 |
% 22.75/6.00 | Equations (254) can reduce 606 to:
% 22.75/6.00 | (3) ~ (e3 = e0)
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (107), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (327) all_0_20_20 = e3
% 22.75/6.00 |
% 22.75/6.00 | Equations (327) can reduce 210 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (210) ~ (all_0_20_20 = e3)
% 22.75/6.00 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (355), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (356) all_0_21_21 = e3
% 22.75/6.00 |
% 22.75/6.00 | Equations (356) can reduce 969 to:
% 22.75/6.00 | (163) ~ (e3 = e1)
% 22.75/6.00 |
% 22.75/6.00 | Equations (356) can reduce 187 to:
% 22.75/6.00 | (3) ~ (e3 = e0)
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (703), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (212) all_0_18_18 = e3
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (220,212) yields a new equation:
% 22.75/6.00 | (556) e3 = e1
% 22.75/6.00 |
% 22.75/6.00 | Equations (556) can reduce 163 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (211) ~ (all_0_18_18 = e3)
% 22.75/6.00 | (560) all_0_22_22 = e3
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (560,583) yields a new equation:
% 22.75/6.00 | (564) e3 = e0
% 22.75/6.00 |
% 22.75/6.00 | Simplifying 564 yields:
% 22.75/6.00 | (323) e3 = e0
% 22.75/6.00 |
% 22.75/6.00 | Equations (323) can reduce 3 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (449) ~ (all_0_21_21 = e3)
% 22.75/6.00 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (450), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (560) all_0_22_22 = e3
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (583,560) yields a new equation:
% 22.75/6.00 | (323) e3 = e0
% 22.75/6.00 |
% 22.75/6.00 | Equations (323) can reduce 3 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (319) ~ (all_0_22_22 = e3)
% 22.75/6.00 | (171) all_0_23_23 = e3
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (171,179) yields a new equation:
% 22.75/6.00 | (555) e3 = e1
% 22.75/6.00 |
% 22.75/6.00 | Simplifying 555 yields:
% 22.75/6.00 | (556) e3 = e1
% 22.75/6.00 |
% 22.75/6.00 | Equations (556) can reduce 163 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (206) ~ (all_0_12_12 = e3)
% 22.75/6.00 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (714), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (347) all_0_13_13 = e3
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (447,347) yields a new equation:
% 22.75/6.00 | (323) e3 = e0
% 22.75/6.00 |
% 22.75/6.00 | Equations (323) can reduce 3 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (337) ~ (all_0_13_13 = e3)
% 22.75/6.00 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (1007), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (516) all_0_14_14 = e3
% 22.75/6.00 |
% 22.75/6.00 | Equations (516) can reduce 308 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (308) ~ (all_0_14_14 = e3)
% 22.75/6.00 | (726) all_0_15_15 = e3
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (752,726) yields a new equation:
% 22.75/6.00 | (352) e3 = e2
% 22.75/6.00 |
% 22.75/6.00 | Equations (352) can reduce 111 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (275) ~ (all_0_18_18 = e1)
% 22.75/6.00 | (302) all_0_18_18 = e0
% 22.75/6.00 |
% 22.75/6.00 | Equations (302) can reduce 197 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (212) all_0_18_18 = e3
% 22.75/6.00 | (305) all_0_16_16 = e1
% 22.75/6.00 |
% 22.75/6.00 | Equations (305) can reduce 45 to:
% 22.75/6.00 | (307) ~ (all_0_12_12 = e1)
% 22.75/6.00 |
% 22.75/6.00 | Equations (212) can reduce 195 to:
% 22.75/6.00 | (111) ~ (e3 = e2)
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (113), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (685) all_0_16_16 = e2
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (305,685) yields a new equation:
% 22.75/6.00 | (742) e2 = e1
% 22.75/6.00 |
% 22.75/6.00 | Equations (742) can reduce 75 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (688) ~ (all_0_16_16 = e2)
% 22.75/6.00 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (689), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (282) all_0_17_17 = e2
% 22.75/6.00 |
% 22.75/6.00 | Equations (282) can reduce 1184 to:
% 22.75/6.00 | (29) ~ (e2 = e0)
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (78), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (254) all_0_12_12 = e3
% 22.75/6.00 |
% 22.75/6.00 | Equations (254) can reduce 158 to:
% 22.75/6.00 | (232) ~ (all_0_8_8 = e3)
% 22.75/6.00 |
% 22.75/6.00 | Equations (254) can reduce 307 to:
% 22.75/6.00 | (163) ~ (e3 = e1)
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (37), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (200) all_0_8_8 = e3
% 22.75/6.00 |
% 22.75/6.00 | Equations (200) can reduce 232 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (232) ~ (all_0_8_8 = e3)
% 22.75/6.00 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (4875), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (382) all_0_13_13 = e2
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (447,382) yields a new equation:
% 22.75/6.00 | (500) e2 = e0
% 22.75/6.00 |
% 22.75/6.00 | Equations (500) can reduce 29 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (253) ~ (all_0_13_13 = e2)
% 22.75/6.00 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (4885), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (220) all_0_18_18 = e1
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (220,212) yields a new equation:
% 22.75/6.00 | (556) e3 = e1
% 22.75/6.00 |
% 22.75/6.00 | Equations (556) can reduce 163 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (275) ~ (all_0_18_18 = e1)
% 22.75/6.00 | (182) all_0_23_23 = e0
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (179,182) yields a new equation:
% 22.75/6.00 | (542) e1 = e0
% 22.75/6.00 |
% 22.75/6.00 | Simplifying 542 yields:
% 22.75/6.00 | (543) e1 = e0
% 22.75/6.00 |
% 22.75/6.00 | Equations (543) can reduce 157 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (206) ~ (all_0_12_12 = e3)
% 22.75/6.00 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (381), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (385) all_0_12_12 = e2
% 22.75/6.00 |
% 22.75/6.00 | Equations (385) can reduce 336 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (336) ~ (all_0_12_12 = e2)
% 22.75/6.00 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (388), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (389) all_0_12_12 = e1
% 22.75/6.00 |
% 22.75/6.00 | Equations (389) can reduce 307 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (307) ~ (all_0_12_12 = e1)
% 22.75/6.00 | (392) all_0_12_12 = e0
% 22.75/6.00 |
% 22.75/6.00 | Equations (392) can reduce 606 to:
% 22.75/6.00 | (172) $false
% 22.75/6.00 |
% 22.75/6.00 |-The branch is then unsatisfiable
% 22.75/6.00 |-Branch two:
% 22.75/6.00 | (344) ~ (all_0_17_17 = e2)
% 22.75/6.00 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 22.75/6.00 |
% 22.75/6.00 +-Applying beta-rule and splitting (694), into two cases.
% 22.75/6.00 |-Branch one:
% 22.75/6.00 | (216) all_0_18_18 = e2
% 22.75/6.00 |
% 22.75/6.00 | Combining equations (216,212) yields a new equation:
% 22.75/6.00 | (352) e3 = e2
% 22.80/6.00 |
% 22.80/6.00 | Equations (352) can reduce 111 to:
% 22.80/6.00 | (172) $false
% 22.80/6.00 |
% 22.80/6.00 |-The branch is then unsatisfiable
% 22.80/6.00 |-Branch two:
% 22.80/6.00 | (195) ~ (all_0_18_18 = e2)
% 22.80/6.00 | (342) all_0_19_19 = e2
% 22.80/6.00 |
% 22.80/6.00 | Equations (342) can reduce 456 to:
% 22.80/6.00 | (172) $false
% 22.80/6.00 |
% 22.80/6.00 |-The branch is then unsatisfiable
% 22.80/6.00 |-Branch two:
% 22.80/6.00 | (423) ~ (all_0_9_9 = e1)
% 22.80/6.00 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 22.80/6.00 |
% 22.80/6.00 +-Applying beta-rule and splitting (900), into two cases.
% 22.80/6.00 |-Branch one:
% 22.80/6.00 | (242) all_0_10_10 = e1
% 22.80/6.00 |
% 22.80/6.00 | Combining equations (242,730) yields a new equation:
% 22.80/6.00 | (742) e2 = e1
% 22.80/6.00 |
% 22.80/6.00 | Equations (742) can reduce 75 to:
% 22.80/6.00 | (172) $false
% 22.80/6.00 |
% 22.80/6.00 |-The branch is then unsatisfiable
% 22.80/6.00 |-Branch two:
% 22.80/6.00 | (221) ~ (all_0_10_10 = e1)
% 22.80/6.00 | (418) all_0_11_11 = e1
% 22.80/6.00 |
% 22.80/6.00 | Equations (418) can reduce 413 to:
% 22.80/6.00 | (172) $false
% 22.80/6.00 |
% 22.80/6.00 |-The branch is then unsatisfiable
% 22.80/6.00 |-Branch two:
% 22.80/6.00 | (621) all_0_8_8 = e1
% 22.80/6.00 | (695) all_0_10_10 = e3
% 22.80/6.00 |
% 22.80/6.00 | Combining equations (695,730) yields a new equation:
% 22.80/6.00 | (511) e3 = e2
% 22.80/6.00 |
% 22.80/6.00 | Simplifying 511 yields:
% 22.80/6.00 | (352) e3 = e2
% 22.80/6.00 |
% 22.80/6.00 | Equations (352) can reduce 111 to:
% 22.80/6.00 | (172) $false
% 22.80/6.00 |
% 22.80/6.00 |-The branch is then unsatisfiable
% 22.80/6.00 |-Branch two:
% 22.80/6.00 | (985) ~ (all_0_10_10 = e2)
% 22.80/6.00 | (986) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 22.80/6.00 |
% 22.80/6.00 +-Applying beta-rule and splitting (986), into two cases.
% 22.80/6.00 |-Branch one:
% 22.80/6.00 | (522) all_0_14_14 = e2
% 22.80/6.00 |
% 22.80/6.00 | Equations (522) can reduce 521 to:
% 22.80/6.00 | (172) $false
% 22.80/6.00 |
% 22.80/6.00 |-The branch is then unsatisfiable
% 22.80/6.00 |-Branch two:
% 22.80/6.00 | (521) ~ (all_0_14_14 = e2)
% 22.80/6.00 | (999) all_0_18_18 = e2 | all_0_22_22 = e2
% 22.80/6.00 |
% 22.80/6.00 +-Applying beta-rule and splitting (999), into two cases.
% 22.80/6.00 |-Branch one:
% 22.80/6.00 | (216) all_0_18_18 = e2
% 22.80/6.00 |
% 22.80/6.00 | Equations (216) can reduce 195 to:
% 22.80/6.00 | (172) $false
% 22.80/6.00 |
% 22.80/6.00 |-The branch is then unsatisfiable
% 22.80/6.00 |-Branch two:
% 22.80/6.00 | (195) ~ (all_0_18_18 = e2)
% 22.80/6.00 | (520) all_0_22_22 = e2
% 22.80/6.00 |
% 22.80/6.00 | Combining equations (520,583) yields a new equation:
% 22.80/6.00 | (499) e2 = e0
% 22.80/6.00 |
% 22.80/6.00 | Simplifying 499 yields:
% 22.80/6.00 | (500) e2 = e0
% 22.80/6.00 |
% 22.80/6.00 | Equations (500) can reduce 29 to:
% 22.80/6.00 | (172) $false
% 22.80/6.00 |
% 22.80/6.00 |-The branch is then unsatisfiable
% 22.80/6.00 |-Branch two:
% 22.80/6.00 | (347) all_0_13_13 = e3
% 22.80/6.00 | (385) all_0_12_12 = e2
% 22.80/6.00 |
% 22.80/6.00 | Equations (385) can reduce 30 to:
% 22.80/6.00 | (724) ~ (all_0_15_15 = e2)
% 22.80/6.00 |
% 22.80/6.00 | Simplifying 724 yields:
% 22.80/6.00 | (725) ~ (all_0_15_15 = e2)
% 22.80/6.00 |
% 22.80/6.00 | Equations (347) can reduce 135 to:
% 22.80/6.00 | (641) ~ (all_0_15_15 = e3)
% 22.80/6.00 |
% 22.80/6.00 | Simplifying 641 yields:
% 22.80/6.00 | (642) ~ (all_0_15_15 = e3)
% 22.80/6.00 |
% 22.80/6.00 | Equations (347) can reduce 104 to:
% 22.80/6.01 | (1837) ~ (all_0_21_21 = e3)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 1837 yields:
% 22.80/6.01 | (449) ~ (all_0_21_21 = e3)
% 22.80/6.01 |
% 22.80/6.01 | Equations (347) can reduce 167 to:
% 22.80/6.01 | (163) ~ (e3 = e1)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (139), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (726) all_0_15_15 = e3
% 22.80/6.01 |
% 22.80/6.01 | Equations (726) can reduce 642 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (642) ~ (all_0_15_15 = e3)
% 22.80/6.01 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (148), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (389) all_0_12_12 = e1
% 22.80/6.01 |
% 22.80/6.01 | Combining equations (389,385) yields a new equation:
% 22.80/6.01 | (742) e2 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (742) can reduce 75 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (307) ~ (all_0_12_12 = e1)
% 22.80/6.01 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (1399), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (444) all_0_13_13 = e1
% 22.80/6.01 |
% 22.80/6.01 | Combining equations (347,444) yields a new equation:
% 22.80/6.01 | (555) e3 = e1
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 555 yields:
% 22.80/6.01 | (556) e3 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (556) can reduce 163 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (167) ~ (all_0_13_13 = e1)
% 22.80/6.01 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (1715), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (262) all_0_14_14 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (262) can reduce 71 to:
% 22.80/6.01 | (4601) ~ (all_0_15_15 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 4601 yields:
% 22.80/6.01 | (536) ~ (all_0_15_15 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Equations (262) can reduce 81 to:
% 22.80/6.01 | (7898) ~ (all_0_18_18 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 7898 yields:
% 22.80/6.01 | (275) ~ (all_0_18_18 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Equations (262) can reduce 470 to:
% 22.80/6.01 | (157) ~ (e1 = e0)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (33), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (212) all_0_18_18 = e3
% 22.80/6.01 |
% 22.80/6.01 | Equations (212) can reduce 195 to:
% 22.80/6.01 | (111) ~ (e3 = e2)
% 22.80/6.01 |
% 22.80/6.01 | Equations (212) can reduce 275 to:
% 22.80/6.01 | (163) ~ (e3 = e1)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (37), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (200) all_0_8_8 = e3
% 22.80/6.01 |
% 22.80/6.01 | Equations (200) can reduce 121 to:
% 22.80/6.01 | (207) ~ (all_0_16_16 = e3)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 207 yields:
% 22.80/6.01 | (208) ~ (all_0_16_16 = e3)
% 22.80/6.01 |
% 22.80/6.01 | Equations (200) can reduce 125 to:
% 22.80/6.01 | (209) ~ (all_0_20_20 = e3)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 209 yields:
% 22.80/6.01 | (210) ~ (all_0_20_20 = e3)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (729), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (752) all_0_15_15 = e2
% 22.80/6.01 |
% 22.80/6.01 | Equations (752) can reduce 725 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (725) ~ (all_0_15_15 = e2)
% 22.80/6.01 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (755), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (490) all_0_15_15 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (490) can reduce 536 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (536) ~ (all_0_15_15 = e1)
% 22.80/6.01 | (270) all_0_15_15 = e0
% 22.80/6.01 |
% 22.80/6.01 | Equations (270) can reduce 642 to:
% 22.80/6.01 | (189) ~ (e3 = e0)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 189 yields:
% 22.80/6.01 | (3) ~ (e3 = e0)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (127), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (211) ~ (all_0_18_18 = e3)
% 22.80/6.01 |
% 22.80/6.01 | Equations (212) can reduce 211 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (212) all_0_18_18 = e3
% 22.80/6.01 | (305) all_0_16_16 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (305) can reduce 208 to:
% 22.80/6.01 | (313) ~ (e3 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 313 yields:
% 22.80/6.01 | (163) ~ (e3 = e1)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (91), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (322) all_0_8_8 = e0
% 22.80/6.01 |
% 22.80/6.01 | Combining equations (322,200) yields a new equation:
% 22.80/6.01 | (323) e3 = e0
% 22.80/6.01 |
% 22.80/6.01 | Equations (323) can reduce 3 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (199) ~ (all_0_8_8 = e0)
% 22.80/6.01 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 22.80/6.01 |
% 22.80/6.01 | Equations (200) can reduce 199 to:
% 22.80/6.01 | (3) ~ (e3 = e0)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (107), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (327) all_0_20_20 = e3
% 22.80/6.01 |
% 22.80/6.01 | Equations (327) can reduce 210 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (210) ~ (all_0_20_20 = e3)
% 22.80/6.01 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (355), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (356) all_0_21_21 = e3
% 22.80/6.01 |
% 22.80/6.01 | Equations (356) can reduce 449 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (449) ~ (all_0_21_21 = e3)
% 22.80/6.01 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (450), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (560) all_0_22_22 = e3
% 22.80/6.01 |
% 22.80/6.01 | Combining equations (583,560) yields a new equation:
% 22.80/6.01 | (323) e3 = e0
% 22.80/6.01 |
% 22.80/6.01 | Equations (323) can reduce 3 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (319) ~ (all_0_22_22 = e3)
% 22.80/6.01 | (171) all_0_23_23 = e3
% 22.80/6.01 |
% 22.80/6.01 | Combining equations (171,179) yields a new equation:
% 22.80/6.01 | (555) e3 = e1
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 555 yields:
% 22.80/6.01 | (556) e3 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (556) can reduce 163 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (232) ~ (all_0_8_8 = e3)
% 22.80/6.01 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (4875), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (382) all_0_13_13 = e2
% 22.80/6.01 |
% 22.80/6.01 | Combining equations (347,382) yields a new equation:
% 22.80/6.01 | (511) e3 = e2
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 511 yields:
% 22.80/6.01 | (352) e3 = e2
% 22.80/6.01 |
% 22.80/6.01 | Equations (352) can reduce 111 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (253) ~ (all_0_13_13 = e2)
% 22.80/6.01 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (4885), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (220) all_0_18_18 = e1
% 22.80/6.01 |
% 22.80/6.01 | Combining equations (220,212) yields a new equation:
% 22.80/6.01 | (556) e3 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (556) can reduce 163 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (275) ~ (all_0_18_18 = e1)
% 22.80/6.01 | (182) all_0_23_23 = e0
% 22.80/6.01 |
% 22.80/6.01 | Combining equations (179,182) yields a new equation:
% 22.80/6.01 | (542) e1 = e0
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 542 yields:
% 22.80/6.01 | (543) e1 = e0
% 22.80/6.01 |
% 22.80/6.01 | Equations (543) can reduce 157 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (211) ~ (all_0_18_18 = e3)
% 22.80/6.01 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (215), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (216) all_0_18_18 = e2
% 22.80/6.01 |
% 22.80/6.01 | Equations (216) can reduce 195 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (195) ~ (all_0_18_18 = e2)
% 22.80/6.01 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (219), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (220) all_0_18_18 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (220) can reduce 275 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (275) ~ (all_0_18_18 = e1)
% 22.80/6.01 | (302) all_0_18_18 = e0
% 22.80/6.01 |
% 22.80/6.01 | Equations (302) can reduce 197 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (222) ~ (all_0_14_14 = e1)
% 22.80/6.01 | (490) all_0_15_15 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (490) can reduce 536 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (216) all_0_18_18 = e2
% 22.80/6.01 | (368) all_0_17_17 = e1
% 22.80/6.01 |
% 22.80/6.01 | Equations (368) can reduce 136 to:
% 22.80/6.01 | (423) ~ (all_0_9_9 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Equations (216) can reduce 51 to:
% 22.80/6.01 | (985) ~ (all_0_10_10 = e2)
% 22.80/6.01 |
% 22.80/6.01 | Equations (368) can reduce 5 to:
% 22.80/6.01 | (167) ~ (all_0_13_13 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Equations (216) can reduce 81 to:
% 22.80/6.01 | (521) ~ (all_0_14_14 = e2)
% 22.80/6.01 |
% 22.80/6.01 | Equations (368) can reduce 144 to:
% 22.80/6.01 | (770) ~ (all_0_16_16 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Equations (216) can reduce 28 to:
% 22.80/6.01 | (688) ~ (all_0_16_16 = e2)
% 22.80/6.01 |
% 22.80/6.01 | Equations (368,216) can reduce 80 to:
% 22.80/6.01 | (924) ~ (e2 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 924 yields:
% 22.80/6.01 | (75) ~ (e2 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Equations (368) can reduce 10 to:
% 22.80/6.01 | (311) ~ (all_0_19_19 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 311 yields:
% 22.80/6.01 | (312) ~ (all_0_19_19 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Equations (368) can reduce 76 to:
% 22.80/6.01 | (2325) ~ (all_0_21_21 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 2325 yields:
% 22.80/6.01 | (969) ~ (all_0_21_21 = e1)
% 22.80/6.01 |
% 22.80/6.01 | Equations (216) can reduce 197 to:
% 22.80/6.01 | (29) ~ (e2 = e0)
% 22.80/6.01 |
% 22.80/6.01 | From (216) and (115) follows:
% 22.80/6.01 | (9589) op(e2, e1) = all_0_3_3
% 22.80/6.01 |
% 22.80/6.01 | Instantiating formula (152) with e2, e1, all_0_3_3, all_0_14_14 and discharging atoms op(e2, e1) = all_0_3_3, op(e2, e1) = all_0_14_14, yields:
% 22.80/6.01 | (9592) all_0_3_3 = all_0_14_14
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (64), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (199) ~ (all_0_8_8 = e0)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (140), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (373) ~ (all_0_13_13 = e0)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (34), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (424) all_0_9_9 = e0
% 22.80/6.01 |
% 22.80/6.01 | Equations (424) can reduce 54 to:
% 22.80/6.01 | (397) ~ (all_0_11_11 = e0)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 397 yields:
% 22.80/6.01 | (183) ~ (all_0_11_11 = e0)
% 22.80/6.01 |
% 22.80/6.01 | Equations (424) can reduce 22 to:
% 22.80/6.01 | (1374) ~ (all_0_13_13 = e0)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 1374 yields:
% 22.80/6.01 | (373) ~ (all_0_13_13 = e0)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (73), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (198) ~ (all_0_8_8 = e2)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (16), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (492) all_0_8_8 = e2
% 22.80/6.01 |
% 22.80/6.01 | Equations (492) can reduce 198 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (198) ~ (all_0_8_8 = e2)
% 22.80/6.01 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (496), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (235) all_0_9_9 = e2
% 22.80/6.01 |
% 22.80/6.01 | Combining equations (424,235) yields a new equation:
% 22.80/6.01 | (500) e2 = e0
% 22.80/6.01 |
% 22.80/6.01 | Equations (500) can reduce 29 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (383) ~ (all_0_9_9 = e2)
% 22.80/6.01 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (2041), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (730) all_0_10_10 = e2
% 22.80/6.01 |
% 22.80/6.01 | Equations (730) can reduce 985 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (985) ~ (all_0_10_10 = e2)
% 22.80/6.01 | (414) all_0_11_11 = e2
% 22.80/6.01 |
% 22.80/6.01 | Equations (414) can reduce 23 to:
% 22.80/6.01 | (985) ~ (all_0_10_10 = e2)
% 22.80/6.01 |
% 22.80/6.01 | Equations (414) can reduce 132 to:
% 22.80/6.01 | (4783) ~ (all_0_19_19 = e2)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 4783 yields:
% 22.80/6.01 | (456) ~ (all_0_19_19 = e2)
% 22.80/6.01 |
% 22.80/6.01 | Equations (414) can reduce 183 to:
% 22.80/6.01 | (29) ~ (e2 = e0)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (82), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (337) ~ (all_0_13_13 = e3)
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (102), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (347) all_0_13_13 = e3
% 22.80/6.01 |
% 22.80/6.01 | Equations (347) can reduce 337 to:
% 22.80/6.01 | (172) $false
% 22.80/6.01 |
% 22.80/6.01 |-The branch is then unsatisfiable
% 22.80/6.01 |-Branch two:
% 22.80/6.01 | (337) ~ (all_0_13_13 = e3)
% 22.80/6.01 | (377) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 22.80/6.01 |
% 22.80/6.01 +-Applying beta-rule and splitting (377), into two cases.
% 22.80/6.01 |-Branch one:
% 22.80/6.01 | (382) all_0_13_13 = e2
% 22.80/6.01 |
% 22.80/6.01 | Equations (382) can reduce 12 to:
% 22.80/6.01 | (6400) ~ (all_0_14_14 = e2)
% 22.80/6.01 |
% 22.80/6.01 | Simplifying 6400 yields:
% 22.80/6.01 | (521) ~ (all_0_14_14 = e2)
% 22.80/6.01 |
% 22.80/6.01 | Equations (382) can reduce 135 to:
% 22.80/6.02 | (724) ~ (all_0_15_15 = e2)
% 22.80/6.02 |
% 22.80/6.02 | Simplifying 724 yields:
% 22.80/6.02 | (725) ~ (all_0_15_15 = e2)
% 22.80/6.02 |
% 22.80/6.02 | Equations (382) can reduce 104 to:
% 22.80/6.02 | (2013) ~ (all_0_21_21 = e2)
% 22.80/6.02 |
% 22.84/6.02 | Simplifying 2013 yields:
% 22.84/6.02 | (514) ~ (all_0_21_21 = e2)
% 22.84/6.02 |
% 22.84/6.02 | Equations (382) can reduce 337 to:
% 22.84/6.02 | (345) ~ (e3 = e2)
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 345 yields:
% 22.84/6.02 | (111) ~ (e3 = e2)
% 22.84/6.02 |
% 22.84/6.02 | Equations (382) can reduce 167 to:
% 22.84/6.02 | (75) ~ (e2 = e1)
% 22.84/6.02 |
% 22.84/6.02 | Equations (382) can reduce 373 to:
% 22.84/6.02 | (29) ~ (e2 = e0)
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (17), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (335) all_0_20_20 = e2
% 22.84/6.02 |
% 22.84/6.02 | Equations (335) can reduce 42 to:
% 22.84/6.02 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.02 |
% 22.84/6.02 | Equations (335) can reduce 7 to:
% 22.84/6.02 | (2013) ~ (all_0_21_21 = e2)
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 2013 yields:
% 22.84/6.02 | (514) ~ (all_0_21_21 = e2)
% 22.84/6.02 |
% 22.84/6.02 | Equations (335) can reduce 963 to:
% 22.84/6.02 | (75) ~ (e2 = e1)
% 22.84/6.02 |
% 22.84/6.02 | Equations (335) can reduce 186 to:
% 22.84/6.02 | (29) ~ (e2 = e0)
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (99), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (223), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (224), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (225), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (226), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (227), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (228), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (229), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (230), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.84/6.02 |
% 22.84/6.02 | Applying alpha-rule on (231) yields:
% 22.84/6.02 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.02 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.84/6.02 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.84/6.02 | (235) all_0_9_9 = e2
% 22.84/6.02 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.84/6.02 |
% 22.84/6.02 | Combining equations (424,235) yields a new equation:
% 22.84/6.02 | (500) e2 = e0
% 22.84/6.02 |
% 22.84/6.02 | Equations (500) can reduce 29 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.84/6.02 |
% 22.84/6.02 | Applying alpha-rule on (238) yields:
% 22.84/6.02 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.02 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.84/6.02 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.84/6.02 | (242) all_0_10_10 = e1
% 22.84/6.02 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (27), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (695) all_0_10_10 = e3
% 22.84/6.02 |
% 22.84/6.02 | Combining equations (695,242) yields a new equation:
% 22.84/6.02 | (555) e3 = e1
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 555 yields:
% 22.84/6.02 | (556) e3 = e1
% 22.84/6.02 |
% 22.84/6.02 | Equations (556) can reduce 163 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (306) ~ (all_0_10_10 = e3)
% 22.84/6.02 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (698), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (516) all_0_14_14 = e3
% 22.84/6.02 |
% 22.84/6.02 | Equations (516) can reduce 60 to:
% 22.84/6.02 | (206) ~ (all_0_12_12 = e3)
% 22.84/6.02 |
% 22.84/6.02 | Equations (516) can reduce 71 to:
% 22.84/6.02 | (641) ~ (all_0_15_15 = e3)
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 641 yields:
% 22.84/6.02 | (642) ~ (all_0_15_15 = e3)
% 22.84/6.02 |
% 22.84/6.02 | Equations (516) can reduce 521 to:
% 22.84/6.02 | (111) ~ (e3 = e2)
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (26), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (200) all_0_8_8 = e3
% 22.84/6.02 |
% 22.84/6.02 | Equations (200) can reduce 232 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.02 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (92), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (200) all_0_8_8 = e3
% 22.84/6.02 |
% 22.84/6.02 | Equations (200) can reduce 232 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.02 | (7571) all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (139), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (726) all_0_15_15 = e3
% 22.84/6.02 |
% 22.84/6.02 | Equations (726) can reduce 642 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (642) ~ (all_0_15_15 = e3)
% 22.84/6.02 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (729), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (752) all_0_15_15 = e2
% 22.84/6.02 |
% 22.84/6.02 | Equations (752) can reduce 725 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (725) ~ (all_0_15_15 = e2)
% 22.84/6.02 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (755), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (490) all_0_15_15 = e1
% 22.84/6.02 |
% 22.84/6.02 | Equations (490) can reduce 536 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (536) ~ (all_0_15_15 = e1)
% 22.84/6.02 | (270) all_0_15_15 = e0
% 22.84/6.02 |
% 22.84/6.02 | Equations (270) can reduce 89 to:
% 22.84/6.02 | (675) ~ (all_0_19_19 = e0)
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 675 yields:
% 22.84/6.02 | (185) ~ (all_0_19_19 = e0)
% 22.84/6.02 |
% 22.84/6.02 | Equations (270) can reduce 642 to:
% 22.84/6.02 | (189) ~ (e3 = e0)
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 189 yields:
% 22.84/6.02 | (3) ~ (e3 = e0)
% 22.84/6.02 |
% 22.84/6.02 | Equations (270) can reduce 725 to:
% 22.84/6.02 | (191) ~ (e2 = e0)
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 191 yields:
% 22.84/6.02 | (29) ~ (e2 = e0)
% 22.84/6.02 |
% 22.84/6.02 | Equations (270) can reduce 536 to:
% 22.84/6.02 | (193) ~ (e1 = e0)
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 193 yields:
% 22.84/6.02 | (157) ~ (e1 = e0)
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (117), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (608) all_0_16_16 = e0
% 22.84/6.02 |
% 22.84/6.02 | Equations (608) can reduce 45 to:
% 22.84/6.02 | (606) ~ (all_0_12_12 = e0)
% 22.84/6.02 |
% 22.84/6.02 | Equations (608) can reduce 138 to:
% 22.84/6.02 | (675) ~ (all_0_19_19 = e0)
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 675 yields:
% 22.84/6.02 | (185) ~ (all_0_19_19 = e0)
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (77), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (277) all_0_16_16 = e3
% 22.84/6.02 |
% 22.84/6.02 | Combining equations (277,608) yields a new equation:
% 22.84/6.02 | (564) e3 = e0
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 564 yields:
% 22.84/6.02 | (323) e3 = e0
% 22.84/6.02 |
% 22.84/6.02 | Equations (323) can reduce 3 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (208) ~ (all_0_16_16 = e3)
% 22.84/6.02 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (78), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (254) all_0_12_12 = e3
% 22.84/6.02 |
% 22.84/6.02 | Equations (254) can reduce 206 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (206) ~ (all_0_12_12 = e3)
% 22.84/6.02 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (381), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (385) all_0_12_12 = e2
% 22.84/6.02 |
% 22.84/6.02 | Equations (385) can reduce 336 to:
% 22.84/6.02 | (172) $false
% 22.84/6.02 |
% 22.84/6.02 |-The branch is then unsatisfiable
% 22.84/6.02 |-Branch two:
% 22.84/6.02 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.02 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (388), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.02 | (389) all_0_12_12 = e1
% 22.84/6.02 |
% 22.84/6.02 | Equations (389) can reduce 206 to:
% 22.84/6.02 | (313) ~ (e3 = e1)
% 22.84/6.02 |
% 22.84/6.02 | Simplifying 313 yields:
% 22.84/6.02 | (163) ~ (e3 = e1)
% 22.84/6.02 |
% 22.84/6.02 +-Applying beta-rule and splitting (1015), into two cases.
% 22.84/6.02 |-Branch one:
% 22.84/6.03 | (360) all_0_17_17 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (368,360) yields a new equation:
% 22.84/6.03 | (556) e3 = e1
% 22.84/6.03 |
% 22.84/6.03 | Equations (556) can reduce 163 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (315) ~ (all_0_17_17 = e3)
% 22.84/6.03 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (1031), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (212) all_0_18_18 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (216,212) yields a new equation:
% 22.84/6.03 | (352) e3 = e2
% 22.84/6.03 |
% 22.84/6.03 | Equations (352) can reduce 111 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (211) ~ (all_0_18_18 = e3)
% 22.84/6.03 | (331) all_0_19_19 = e3
% 22.84/6.03 |
% 22.84/6.03 | Equations (331) can reduce 456 to:
% 22.84/6.03 | (111) ~ (e3 = e2)
% 22.84/6.03 |
% 22.84/6.03 | Equations (331) can reduce 312 to:
% 22.84/6.03 | (163) ~ (e3 = e1)
% 22.84/6.03 |
% 22.84/6.03 | Equations (331) can reduce 185 to:
% 22.84/6.03 | (3) ~ (e3 = e0)
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (107), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (327) all_0_20_20 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (335,327) yields a new equation:
% 22.84/6.03 | (352) e3 = e2
% 22.84/6.03 |
% 22.84/6.03 | Equations (352) can reduce 111 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (210) ~ (all_0_20_20 = e3)
% 22.84/6.03 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 22.84/6.03 |
% 22.84/6.03 | Equations (335) can reduce 210 to:
% 22.84/6.03 | (345) ~ (e3 = e2)
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 345 yields:
% 22.84/6.03 | (111) ~ (e3 = e2)
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (151), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (338) all_0_9_9 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (424,338) yields a new equation:
% 22.84/6.03 | (323) e3 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (323) can reduce 3 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (202) ~ (all_0_9_9 = e3)
% 22.84/6.03 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 22.84/6.03 |
% 22.84/6.03 | Equations (424) can reduce 202 to:
% 22.84/6.03 | (189) ~ (e3 = e0)
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 189 yields:
% 22.84/6.03 | (3) ~ (e3 = e0)
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (7571), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (338) all_0_9_9 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (424,338) yields a new equation:
% 22.84/6.03 | (323) e3 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (323) can reduce 3 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (202) ~ (all_0_9_9 = e3)
% 22.84/6.03 | (7682) all_0_10_10 = e3 | all_0_11_11 = e3
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (355), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (356) all_0_21_21 = e3
% 22.84/6.03 |
% 22.84/6.03 | Equations (356) can reduce 514 to:
% 22.84/6.03 | (111) ~ (e3 = e2)
% 22.84/6.03 |
% 22.84/6.03 | Equations (356) can reduce 969 to:
% 22.84/6.03 | (163) ~ (e3 = e1)
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (7682), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (695) all_0_10_10 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (695,242) yields a new equation:
% 22.84/6.03 | (555) e3 = e1
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 555 yields:
% 22.84/6.03 | (556) e3 = e1
% 22.84/6.03 |
% 22.84/6.03 | Equations (556) can reduce 163 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (306) ~ (all_0_10_10 = e3)
% 22.84/6.03 | (399) all_0_11_11 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (414,399) yields a new equation:
% 22.84/6.03 | (352) e3 = e2
% 22.84/6.03 |
% 22.84/6.03 | Equations (352) can reduce 111 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (449) ~ (all_0_21_21 = e3)
% 22.84/6.03 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (4), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (356) all_0_21_21 = e3
% 22.84/6.03 |
% 22.84/6.03 | Equations (356) can reduce 449 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (449) ~ (all_0_21_21 = e3)
% 22.84/6.03 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (341), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (347) all_0_13_13 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (382,347) yields a new equation:
% 22.84/6.03 | (352) e3 = e2
% 22.84/6.03 |
% 22.84/6.03 | Equations (352) can reduce 111 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (337) ~ (all_0_13_13 = e3)
% 22.84/6.03 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (350), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (360) all_0_17_17 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (360,368) yields a new equation:
% 22.84/6.03 | (555) e3 = e1
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 555 yields:
% 22.84/6.03 | (556) e3 = e1
% 22.84/6.03 |
% 22.84/6.03 | Equations (556) can reduce 163 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (315) ~ (all_0_17_17 = e3)
% 22.84/6.03 | (356) all_0_21_21 = e3
% 22.84/6.03 |
% 22.84/6.03 | Equations (356) can reduce 449 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (307) ~ (all_0_12_12 = e1)
% 22.84/6.03 | (392) all_0_12_12 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (392) can reduce 606 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (612) ~ (all_0_16_16 = e0)
% 22.84/6.03 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (653), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (371) all_0_17_17 = e0
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (368,371) yields a new equation:
% 22.84/6.03 | (542) e1 = e0
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 542 yields:
% 22.84/6.03 | (543) e1 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (543) can reduce 157 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (1184) ~ (all_0_17_17 = e0)
% 22.84/6.03 | (1198) all_0_18_18 = e0 | all_0_19_19 = e0
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (1198), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (302) all_0_18_18 = e0
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (216,302) yields a new equation:
% 22.84/6.03 | (499) e2 = e0
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 499 yields:
% 22.84/6.03 | (500) e2 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (500) can reduce 29 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (197) ~ (all_0_18_18 = e0)
% 22.84/6.03 | (291) all_0_19_19 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (291) can reduce 185 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (308) ~ (all_0_14_14 = e3)
% 22.84/6.03 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (703), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (212) all_0_18_18 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (216,212) yields a new equation:
% 22.84/6.03 | (352) e3 = e2
% 22.84/6.03 |
% 22.84/6.03 | Equations (352) can reduce 111 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (211) ~ (all_0_18_18 = e3)
% 22.84/6.03 | (560) all_0_22_22 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (560,583) yields a new equation:
% 22.84/6.03 | (564) e3 = e0
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 564 yields:
% 22.84/6.03 | (323) e3 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (323) can reduce 3 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.84/6.03 |
% 22.84/6.03 | Applying alpha-rule on (245) yields:
% 22.84/6.03 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.03 | (247) all_0_11_11 = e0
% 22.84/6.03 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.84/6.03 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.84/6.03 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (247,414) yields a new equation:
% 22.84/6.03 | (500) e2 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (500) can reduce 29 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.84/6.03 |
% 22.84/6.03 | Applying alpha-rule on (252) yields:
% 22.84/6.03 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.03 | (254) all_0_12_12 = e3
% 22.84/6.03 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.84/6.03 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.84/6.03 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.84/6.03 |
% 22.84/6.03 | Equations (382) can reduce 253 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.84/6.03 |
% 22.84/6.03 | Applying alpha-rule on (259) yields:
% 22.84/6.03 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.03 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.84/6.03 | (262) all_0_14_14 = e1
% 22.84/6.03 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.84/6.03 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.84/6.03 |
% 22.84/6.03 | Equations (382) can reduce 253 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.84/6.03 |
% 22.84/6.03 | Applying alpha-rule on (266) yields:
% 22.84/6.03 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.03 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.84/6.03 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.84/6.03 | (270) all_0_15_15 = e0
% 22.84/6.03 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.84/6.03 |
% 22.84/6.03 | Equations (382) can reduce 253 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.84/6.03 |
% 22.84/6.03 | Applying alpha-rule on (273) yields:
% 22.84/6.03 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.84/6.03 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.03 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.84/6.03 | (277) all_0_16_16 = e3
% 22.84/6.03 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (276), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (168) ~ (all_0_23_23 = e1)
% 22.84/6.03 |
% 22.84/6.03 | Equations (179) can reduce 168 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (179) all_0_23_23 = e1
% 22.84/6.03 | (188) ~ (all_0_22_22 = e0)
% 22.84/6.03 |
% 22.84/6.03 | Equations (583) can reduce 188 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.84/6.03 |
% 22.84/6.03 | Applying alpha-rule on (280) yields:
% 22.84/6.03 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.84/6.03 | (282) all_0_17_17 = e2
% 22.84/6.03 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.03 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.84/6.03 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (368,282) yields a new equation:
% 22.84/6.03 | (742) e2 = e1
% 22.84/6.03 |
% 22.84/6.03 | Equations (742) can reduce 75 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.84/6.03 |
% 22.84/6.03 | Applying alpha-rule on (287) yields:
% 22.84/6.03 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.84/6.03 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.03 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.84/6.03 | (291) all_0_19_19 = e0
% 22.84/6.03 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (276), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (168) ~ (all_0_23_23 = e1)
% 22.84/6.03 |
% 22.84/6.03 | Equations (179) can reduce 168 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (179) all_0_23_23 = e1
% 22.84/6.03 | (188) ~ (all_0_22_22 = e0)
% 22.84/6.03 |
% 22.84/6.03 | Equations (583) can reduce 188 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 22.84/6.03 |
% 22.84/6.03 | Applying alpha-rule on (294) yields:
% 22.84/6.03 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 22.84/6.03 | (296) ~ (all_0_23_23 = e0)
% 22.84/6.03 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 22.84/6.03 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 22.84/6.03 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 22.84/6.03 |
% 22.84/6.03 | Equations (179) can reduce 296 to:
% 22.84/6.03 | (157) ~ (e1 = e0)
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (107), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (327) all_0_20_20 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (327,335) yields a new equation:
% 22.84/6.03 | (511) e3 = e2
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 511 yields:
% 22.84/6.03 | (352) e3 = e2
% 22.84/6.03 |
% 22.84/6.03 | Equations (352) can reduce 111 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (210) ~ (all_0_20_20 = e3)
% 22.84/6.03 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (355), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (356) all_0_21_21 = e3
% 22.84/6.03 |
% 22.84/6.03 | Equations (356) can reduce 514 to:
% 22.84/6.03 | (111) ~ (e3 = e2)
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (295), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (327) all_0_20_20 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (335,327) yields a new equation:
% 22.84/6.03 | (352) e3 = e2
% 22.84/6.03 |
% 22.84/6.03 | Equations (352) can reduce 111 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (210) ~ (all_0_20_20 = e3)
% 22.84/6.03 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 22.84/6.03 |
% 22.84/6.03 | Equations (335) can reduce 210 to:
% 22.84/6.03 | (345) ~ (e3 = e2)
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 345 yields:
% 22.84/6.03 | (111) ~ (e3 = e2)
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (4710), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (510) all_0_21_21 = e2
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (510,356) yields a new equation:
% 22.84/6.03 | (352) e3 = e2
% 22.84/6.03 |
% 22.84/6.03 | Equations (352) can reduce 111 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (514) ~ (all_0_21_21 = e2)
% 22.84/6.03 | (864) all_0_22_22 = e1
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (864,583) yields a new equation:
% 22.84/6.03 | (542) e1 = e0
% 22.84/6.03 |
% 22.84/6.03 | Simplifying 542 yields:
% 22.84/6.03 | (543) e1 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (543) can reduce 157 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (449) ~ (all_0_21_21 = e3)
% 22.84/6.03 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 22.84/6.03 |
% 22.84/6.03 +-Applying beta-rule and splitting (450), into two cases.
% 22.84/6.03 |-Branch one:
% 22.84/6.03 | (560) all_0_22_22 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (583,560) yields a new equation:
% 22.84/6.03 | (323) e3 = e0
% 22.84/6.03 |
% 22.84/6.03 | Equations (323) can reduce 3 to:
% 22.84/6.03 | (172) $false
% 22.84/6.03 |
% 22.84/6.03 |-The branch is then unsatisfiable
% 22.84/6.03 |-Branch two:
% 22.84/6.03 | (319) ~ (all_0_22_22 = e3)
% 22.84/6.03 | (171) all_0_23_23 = e3
% 22.84/6.03 |
% 22.84/6.03 | Combining equations (171,179) yields a new equation:
% 22.84/6.04 | (555) e3 = e1
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 555 yields:
% 22.84/6.04 | (556) e3 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (556) can reduce 163 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (466) ~ (all_0_20_20 = e2)
% 22.84/6.04 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (509), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (510) all_0_21_21 = e2
% 22.84/6.04 |
% 22.84/6.04 | Equations (510) can reduce 514 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (514) ~ (all_0_21_21 = e2)
% 22.84/6.04 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (515), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (520) all_0_22_22 = e2
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (583,520) yields a new equation:
% 22.84/6.04 | (500) e2 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (500) can reduce 29 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (531) ~ (all_0_22_22 = e2)
% 22.84/6.04 | (175) all_0_23_23 = e2
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (175,179) yields a new equation:
% 22.84/6.04 | (966) e2 = e1
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 966 yields:
% 22.84/6.04 | (742) e2 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (742) can reduce 75 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.04 | (443) all_0_13_13 = e1 | all_0_13_13 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (443), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (444) all_0_13_13 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (444) can reduce 167 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (167) ~ (all_0_13_13 = e1)
% 22.84/6.04 | (447) all_0_13_13 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (447) can reduce 373 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (347) all_0_13_13 = e3
% 22.84/6.04 | (385) all_0_12_12 = e2
% 22.84/6.04 |
% 22.84/6.04 | Equations (385) can reduce 60 to:
% 22.84/6.04 | (6400) ~ (all_0_14_14 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 6400 yields:
% 22.84/6.04 | (521) ~ (all_0_14_14 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Equations (385) can reduce 30 to:
% 22.84/6.04 | (724) ~ (all_0_15_15 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 724 yields:
% 22.84/6.04 | (725) ~ (all_0_15_15 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Equations (385) can reduce 42 to:
% 22.84/6.04 | (1813) ~ (all_0_20_20 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 1813 yields:
% 22.84/6.04 | (466) ~ (all_0_20_20 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Equations (347) can reduce 12 to:
% 22.84/6.04 | (2797) ~ (all_0_14_14 = e3)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 2797 yields:
% 22.84/6.04 | (308) ~ (all_0_14_14 = e3)
% 22.84/6.04 |
% 22.84/6.04 | Equations (347) can reduce 135 to:
% 22.84/6.04 | (641) ~ (all_0_15_15 = e3)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 641 yields:
% 22.84/6.04 | (642) ~ (all_0_15_15 = e3)
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (134), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (516) all_0_14_14 = e3
% 22.84/6.04 |
% 22.84/6.04 | Equations (516) can reduce 308 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (308) ~ (all_0_14_14 = e3)
% 22.84/6.04 | (519) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (519), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (522) all_0_14_14 = e2
% 22.84/6.04 |
% 22.84/6.04 | Equations (522) can reduce 521 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (521) ~ (all_0_14_14 = e2)
% 22.84/6.04 | (525) all_0_14_14 = e1 | all_0_14_14 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (525), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (262) all_0_14_14 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (262) can reduce 71 to:
% 22.84/6.04 | (4601) ~ (all_0_15_15 = e1)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 4601 yields:
% 22.84/6.04 | (536) ~ (all_0_15_15 = e1)
% 22.84/6.04 |
% 22.84/6.04 | Equations (262) can reduce 521 to:
% 22.84/6.04 | (924) ~ (e2 = e1)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 924 yields:
% 22.84/6.04 | (75) ~ (e2 = e1)
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (70), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (327) all_0_20_20 = e3
% 22.84/6.04 |
% 22.84/6.04 | Equations (327) can reduce 7 to:
% 22.84/6.04 | (1837) ~ (all_0_21_21 = e3)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 1837 yields:
% 22.84/6.04 | (449) ~ (all_0_21_21 = e3)
% 22.84/6.04 |
% 22.84/6.04 | Equations (327) can reduce 963 to:
% 22.84/6.04 | (163) ~ (e3 = e1)
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (27), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (695) all_0_10_10 = e3
% 22.84/6.04 |
% 22.84/6.04 | Equations (695) can reduce 24 to:
% 22.84/6.04 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.04 |
% 22.84/6.04 | Equations (695) can reduce 985 to:
% 22.84/6.04 | (111) ~ (e3 = e2)
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (17), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (335) all_0_20_20 = e2
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (327,335) yields a new equation:
% 22.84/6.04 | (511) e3 = e2
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 511 yields:
% 22.84/6.04 | (352) e3 = e2
% 22.84/6.04 |
% 22.84/6.04 | Equations (352) can reduce 111 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (466) ~ (all_0_20_20 = e2)
% 22.84/6.04 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (509), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (510) all_0_21_21 = e2
% 22.84/6.04 |
% 22.84/6.04 | Equations (510) can reduce 449 to:
% 22.84/6.04 | (345) ~ (e3 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 345 yields:
% 22.84/6.04 | (111) ~ (e3 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Equations (510) can reduce 969 to:
% 22.84/6.04 | (75) ~ (e2 = e1)
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (26), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (200) all_0_8_8 = e3
% 22.84/6.04 |
% 22.84/6.04 | Equations (200) can reduce 232 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.04 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (37), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (200) all_0_8_8 = e3
% 22.84/6.04 |
% 22.84/6.04 | Equations (200) can reduce 232 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.04 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (139), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (726) all_0_15_15 = e3
% 22.84/6.04 |
% 22.84/6.04 | Equations (726) can reduce 642 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (642) ~ (all_0_15_15 = e3)
% 22.84/6.04 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (729), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (752) all_0_15_15 = e2
% 22.84/6.04 |
% 22.84/6.04 | Equations (752) can reduce 725 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (725) ~ (all_0_15_15 = e2)
% 22.84/6.04 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (755), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (490) all_0_15_15 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (490) can reduce 536 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (536) ~ (all_0_15_15 = e1)
% 22.84/6.04 | (270) all_0_15_15 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (270) can reduce 536 to:
% 22.84/6.04 | (193) ~ (e1 = e0)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 193 yields:
% 22.84/6.04 | (157) ~ (e1 = e0)
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (4875), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (382) all_0_13_13 = e2
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (347,382) yields a new equation:
% 22.84/6.04 | (511) e3 = e2
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 511 yields:
% 22.84/6.04 | (352) e3 = e2
% 22.84/6.04 |
% 22.84/6.04 | Equations (352) can reduce 111 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.04 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (4885), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (220) all_0_18_18 = e1
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (216,220) yields a new equation:
% 22.84/6.04 | (966) e2 = e1
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 966 yields:
% 22.84/6.04 | (742) e2 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (742) can reduce 75 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.04 | (182) all_0_23_23 = e0
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (182,179) yields a new equation:
% 22.84/6.04 | (543) e1 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (543) can reduce 157 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (514) ~ (all_0_21_21 = e2)
% 22.84/6.04 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (515), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (520) all_0_22_22 = e2
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (583,520) yields a new equation:
% 22.84/6.04 | (500) e2 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (500) can reduce 29 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (531) ~ (all_0_22_22 = e2)
% 22.84/6.04 | (175) all_0_23_23 = e2
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (175,179) yields a new equation:
% 22.84/6.04 | (966) e2 = e1
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 966 yields:
% 22.84/6.04 | (742) e2 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (742) can reduce 75 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (306) ~ (all_0_10_10 = e3)
% 22.84/6.04 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (20), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (196) ~ (all_0_8_8 = e1)
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (146), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (621) all_0_8_8 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (621) can reduce 196 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (196) ~ (all_0_8_8 = e1)
% 22.84/6.04 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (778), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (389) all_0_12_12 = e1
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (389,385) yields a new equation:
% 22.84/6.04 | (742) e2 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (742) can reduce 75 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (307) ~ (all_0_12_12 = e1)
% 22.84/6.04 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (2268), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (305) all_0_16_16 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (305) can reduce 770 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (770) ~ (all_0_16_16 = e1)
% 22.84/6.04 | (952) all_0_20_20 = e1
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (327,952) yields a new equation:
% 22.84/6.04 | (555) e3 = e1
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 555 yields:
% 22.84/6.04 | (556) e3 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (556) can reduce 163 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (621) all_0_8_8 = e1
% 22.84/6.04 | (695) all_0_10_10 = e3
% 22.84/6.04 |
% 22.84/6.04 | Equations (695) can reduce 306 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (210) ~ (all_0_20_20 = e3)
% 22.84/6.04 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (330), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (335) all_0_20_20 = e2
% 22.84/6.04 |
% 22.84/6.04 | Equations (335) can reduce 466 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (466) ~ (all_0_20_20 = e2)
% 22.84/6.04 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (467), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (952) all_0_20_20 = e1
% 22.84/6.04 |
% 22.84/6.04 | Equations (952) can reduce 963 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (963) ~ (all_0_20_20 = e1)
% 22.84/6.04 | (613) all_0_20_20 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (613) can reduce 186 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (222) ~ (all_0_14_14 = e1)
% 22.84/6.04 | (529) all_0_14_14 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (529) can reduce 470 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (492) all_0_8_8 = e2
% 22.84/6.04 | (338) all_0_9_9 = e3
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (424,338) yields a new equation:
% 22.84/6.04 | (323) e3 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (323) can reduce 3 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (372) ~ (all_0_9_9 = e0)
% 22.84/6.04 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (664), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (447) all_0_13_13 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (447) can reduce 373 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (373) ~ (all_0_13_13 = e0)
% 22.84/6.04 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 22.84/6.04 |
% 22.84/6.04 +-Applying beta-rule and splitting (668), into two cases.
% 22.84/6.04 |-Branch one:
% 22.84/6.04 | (371) all_0_17_17 = e0
% 22.84/6.04 |
% 22.84/6.04 | Combining equations (368,371) yields a new equation:
% 22.84/6.04 | (542) e1 = e0
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 542 yields:
% 22.84/6.04 | (543) e1 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (543) can reduce 157 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (1184) ~ (all_0_17_17 = e0)
% 22.84/6.04 | (1185) all_0_21_21 = e0
% 22.84/6.04 |
% 22.84/6.04 | Equations (1185) can reduce 187 to:
% 22.84/6.04 | (172) $false
% 22.84/6.04 |
% 22.84/6.04 |-The branch is then unsatisfiable
% 22.84/6.04 |-Branch two:
% 22.84/6.04 | (447) all_0_13_13 = e0
% 22.84/6.04 | (752) all_0_15_15 = e2
% 22.84/6.04 |
% 22.84/6.04 | Equations (447) can reduce 22 to:
% 22.84/6.04 | (372) ~ (all_0_9_9 = e0)
% 22.84/6.04 |
% 22.84/6.04 | Equations (752) can reduce 129 to:
% 22.84/6.04 | (343) ~ (all_0_11_11 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Equations (752) can reduce 30 to:
% 22.84/6.04 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.04 |
% 22.84/6.04 | Equations (447,752) can reduce 135 to:
% 22.84/6.04 | (191) ~ (e2 = e0)
% 22.84/6.04 |
% 22.84/6.04 | Simplifying 191 yields:
% 22.84/6.04 | (29) ~ (e2 = e0)
% 22.84/6.04 |
% 22.84/6.04 | Equations (447) can reduce 104 to:
% 22.84/6.05 | (1547) ~ (all_0_21_21 = e0)
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 1547 yields:
% 22.84/6.05 | (187) ~ (all_0_21_21 = e0)
% 22.84/6.05 |
% 22.84/6.05 | Equations (447) can reduce 167 to:
% 22.84/6.05 | (193) ~ (e1 = e0)
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 193 yields:
% 22.84/6.05 | (157) ~ (e1 = e0)
% 22.84/6.05 |
% 22.84/6.05 | Equations (752) can reduce 536 to:
% 22.84/6.05 | (75) ~ (e2 = e1)
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (37), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (200) all_0_8_8 = e3
% 22.84/6.05 |
% 22.84/6.05 | Equations (200) can reduce 116 to:
% 22.84/6.05 | (201) ~ (all_0_9_9 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 201 yields:
% 22.84/6.05 | (202) ~ (all_0_9_9 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Equations (200) can reduce 124 to:
% 22.84/6.05 | (203) ~ (all_0_11_11 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 203 yields:
% 22.84/6.05 | (204) ~ (all_0_11_11 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Equations (200) can reduce 158 to:
% 22.84/6.05 | (205) ~ (all_0_12_12 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 205 yields:
% 22.84/6.05 | (206) ~ (all_0_12_12 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Equations (200) can reduce 121 to:
% 22.84/6.05 | (207) ~ (all_0_16_16 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 207 yields:
% 22.84/6.05 | (208) ~ (all_0_16_16 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Equations (200) can reduce 199 to:
% 22.84/6.05 | (3) ~ (e3 = e0)
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (66), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (492) all_0_8_8 = e2
% 22.84/6.05 |
% 22.84/6.05 | Combining equations (200,492) yields a new equation:
% 22.84/6.05 | (511) e3 = e2
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 511 yields:
% 22.84/6.05 | (352) e3 = e2
% 22.84/6.05 |
% 22.84/6.05 | Equations (352) can reduce 111 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (198) ~ (all_0_8_8 = e2)
% 22.84/6.05 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (2231), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (385) all_0_12_12 = e2
% 22.84/6.05 |
% 22.84/6.05 | Equations (385) can reduce 336 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.05 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (2235), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (685) all_0_16_16 = e2
% 22.84/6.05 |
% 22.84/6.05 | Equations (685) can reduce 688 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (688) ~ (all_0_16_16 = e2)
% 22.84/6.05 | (335) all_0_20_20 = e2
% 22.84/6.05 |
% 22.84/6.05 | Equations (335) can reduce 7 to:
% 22.84/6.05 | (2013) ~ (all_0_21_21 = e2)
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 2013 yields:
% 22.84/6.05 | (514) ~ (all_0_21_21 = e2)
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (77), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (277) all_0_16_16 = e3
% 22.84/6.05 |
% 22.84/6.05 | Equations (277) can reduce 208 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (208) ~ (all_0_16_16 = e3)
% 22.84/6.05 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (1015), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (360) all_0_17_17 = e3
% 22.84/6.05 |
% 22.84/6.05 | Combining equations (368,360) yields a new equation:
% 22.84/6.05 | (556) e3 = e1
% 22.84/6.05 |
% 22.84/6.05 | Equations (556) can reduce 163 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (315) ~ (all_0_17_17 = e3)
% 22.84/6.05 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 22.84/6.05 |
% 22.84/6.05 | Equations (368) can reduce 315 to:
% 22.84/6.05 | (313) ~ (e3 = e1)
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 313 yields:
% 22.84/6.05 | (163) ~ (e3 = e1)
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (47), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (621) all_0_8_8 = e1
% 22.84/6.05 |
% 22.84/6.05 | Combining equations (200,621) yields a new equation:
% 22.84/6.05 | (555) e3 = e1
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 555 yields:
% 22.84/6.05 | (556) e3 = e1
% 22.84/6.05 |
% 22.84/6.05 | Equations (556) can reduce 163 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (196) ~ (all_0_8_8 = e1)
% 22.84/6.05 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 22.84/6.05 |
% 22.84/6.05 | Equations (200) can reduce 196 to:
% 22.84/6.05 | (163) ~ (e3 = e1)
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (151), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (338) all_0_9_9 = e3
% 22.84/6.05 |
% 22.84/6.05 | Equations (338) can reduce 202 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (202) ~ (all_0_9_9 = e3)
% 22.84/6.05 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (341), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (347) all_0_13_13 = e3
% 22.84/6.05 |
% 22.84/6.05 | Combining equations (347,447) yields a new equation:
% 22.84/6.05 | (564) e3 = e0
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 564 yields:
% 22.84/6.05 | (323) e3 = e0
% 22.84/6.05 |
% 22.84/6.05 | Equations (323) can reduce 3 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (337) ~ (all_0_13_13 = e3)
% 22.84/6.05 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (350), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (360) all_0_17_17 = e3
% 22.84/6.05 |
% 22.84/6.05 | Combining equations (368,360) yields a new equation:
% 22.84/6.05 | (556) e3 = e1
% 22.84/6.05 |
% 22.84/6.05 | Equations (556) can reduce 163 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (315) ~ (all_0_17_17 = e3)
% 22.84/6.05 | (356) all_0_21_21 = e3
% 22.84/6.05 |
% 22.84/6.05 | Equations (356) can reduce 74 to:
% 22.84/6.05 | (202) ~ (all_0_9_9 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Equations (356) can reduce 514 to:
% 22.84/6.05 | (111) ~ (e3 = e2)
% 22.84/6.05 |
% 22.84/6.05 | Equations (356) can reduce 969 to:
% 22.84/6.05 | (163) ~ (e3 = e1)
% 22.84/6.05 |
% 22.84/6.05 | Equations (356) can reduce 187 to:
% 22.84/6.05 | (3) ~ (e3 = e0)
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (16), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (492) all_0_8_8 = e2
% 22.84/6.05 |
% 22.84/6.05 | Combining equations (492,200) yields a new equation:
% 22.84/6.05 | (352) e3 = e2
% 22.84/6.05 |
% 22.84/6.05 | Equations (352) can reduce 111 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (198) ~ (all_0_8_8 = e2)
% 22.84/6.05 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (65), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (399) all_0_11_11 = e3
% 22.84/6.05 |
% 22.84/6.05 | Equations (399) can reduce 204 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (204) ~ (all_0_11_11 = e3)
% 22.84/6.05 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (496), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (235) all_0_9_9 = e2
% 22.84/6.05 |
% 22.84/6.05 | Equations (235) can reduce 202 to:
% 22.84/6.05 | (345) ~ (e3 = e2)
% 22.84/6.05 |
% 22.84/6.05 | Simplifying 345 yields:
% 22.84/6.05 | (111) ~ (e3 = e2)
% 22.84/6.05 |
% 22.84/6.05 | Equations (235) can reduce 423 to:
% 22.84/6.05 | (75) ~ (e2 = e1)
% 22.84/6.05 |
% 22.84/6.05 | Equations (235) can reduce 372 to:
% 22.84/6.05 | (29) ~ (e2 = e0)
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (99), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (223), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (224), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (225), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (226), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (227), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (228), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (229), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.84/6.05 |
% 22.84/6.05 +-Applying beta-rule and splitting (230), into two cases.
% 22.84/6.05 |-Branch one:
% 22.84/6.05 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.84/6.05 |
% 22.84/6.05 | Applying alpha-rule on (231) yields:
% 22.84/6.05 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.05 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.84/6.05 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.84/6.05 | (235) all_0_9_9 = e2
% 22.84/6.05 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Equations (200) can reduce 232 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.84/6.05 |
% 22.84/6.05 | Applying alpha-rule on (238) yields:
% 22.84/6.05 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.05 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.84/6.05 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.84/6.05 | (242) all_0_10_10 = e1
% 22.84/6.05 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Equations (200) can reduce 232 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.84/6.05 |
% 22.84/6.05 | Applying alpha-rule on (245) yields:
% 22.84/6.05 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.05 | (247) all_0_11_11 = e0
% 22.84/6.05 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.84/6.05 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.84/6.05 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.84/6.05 |
% 22.84/6.05 | Equations (200) can reduce 232 to:
% 22.84/6.05 | (172) $false
% 22.84/6.05 |
% 22.84/6.05 |-The branch is then unsatisfiable
% 22.84/6.05 |-Branch two:
% 22.84/6.05 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.84/6.05 |
% 22.84/6.05 | Applying alpha-rule on (252) yields:
% 22.84/6.05 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.05 | (254) all_0_12_12 = e3
% 22.84/6.05 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.84/6.06 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.84/6.06 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.84/6.06 |
% 22.84/6.06 | Equations (254) can reduce 206 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.84/6.06 |
% 22.84/6.06 | Applying alpha-rule on (259) yields:
% 22.84/6.06 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.06 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.84/6.06 | (262) all_0_14_14 = e1
% 22.84/6.06 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.84/6.06 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (257), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (310) ~ (all_0_17_17 = e1)
% 22.84/6.06 |
% 22.84/6.06 | Equations (368) can reduce 310 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (368) all_0_17_17 = e1
% 22.84/6.06 | (195) ~ (all_0_18_18 = e2)
% 22.84/6.06 |
% 22.84/6.06 | Equations (216) can reduce 195 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.84/6.06 |
% 22.84/6.06 | Applying alpha-rule on (266) yields:
% 22.84/6.06 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.06 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.84/6.06 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.84/6.06 | (270) all_0_15_15 = e0
% 22.84/6.06 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (752,270) yields a new equation:
% 22.84/6.06 | (499) e2 = e0
% 22.84/6.06 |
% 22.84/6.06 | Simplifying 499 yields:
% 22.84/6.06 | (500) e2 = e0
% 22.84/6.06 |
% 22.84/6.06 | Equations (500) can reduce 29 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.84/6.06 |
% 22.84/6.06 | Applying alpha-rule on (273) yields:
% 22.84/6.06 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.84/6.06 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.06 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.84/6.06 | (277) all_0_16_16 = e3
% 22.84/6.06 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.84/6.06 |
% 22.84/6.06 | Equations (277) can reduce 208 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.84/6.06 |
% 22.84/6.06 | Applying alpha-rule on (280) yields:
% 22.84/6.06 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.84/6.06 | (282) all_0_17_17 = e2
% 22.84/6.06 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.06 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.84/6.06 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (368,282) yields a new equation:
% 22.84/6.06 | (742) e2 = e1
% 22.84/6.06 |
% 22.84/6.06 | Equations (742) can reduce 75 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.84/6.06 |
% 22.84/6.06 | Applying alpha-rule on (287) yields:
% 22.84/6.06 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.84/6.06 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.06 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.84/6.06 | (291) all_0_19_19 = e0
% 22.84/6.06 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (1358), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (726) all_0_15_15 = e3
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (726,752) yields a new equation:
% 22.84/6.06 | (511) e3 = e2
% 22.84/6.06 |
% 22.84/6.06 | Simplifying 511 yields:
% 22.84/6.06 | (352) e3 = e2
% 22.84/6.06 |
% 22.84/6.06 | Equations (352) can reduce 111 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (642) ~ (all_0_15_15 = e3)
% 22.84/6.06 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (8093), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (331) all_0_19_19 = e3
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (291,331) yields a new equation:
% 22.84/6.06 | (323) e3 = e0
% 22.84/6.06 |
% 22.84/6.06 | Equations (323) can reduce 3 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (317) ~ (all_0_19_19 = e3)
% 22.84/6.06 | (171) all_0_23_23 = e3
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (171,179) yields a new equation:
% 22.84/6.06 | (555) e3 = e1
% 22.84/6.06 |
% 22.84/6.06 | Simplifying 555 yields:
% 22.84/6.06 | (556) e3 = e1
% 22.84/6.06 |
% 22.84/6.06 | Equations (556) can reduce 163 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 22.84/6.06 |
% 22.84/6.06 | Applying alpha-rule on (294) yields:
% 22.84/6.06 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 22.84/6.06 | (296) ~ (all_0_23_23 = e0)
% 22.84/6.06 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 22.84/6.06 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 22.84/6.06 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (298), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (725) ~ (all_0_15_15 = e2)
% 22.84/6.06 |
% 22.84/6.06 | Equations (752) can reduce 725 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (752) all_0_15_15 = e2
% 22.84/6.06 | (373) ~ (all_0_13_13 = e0)
% 22.84/6.06 |
% 22.84/6.06 | Equations (447) can reduce 373 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (383) ~ (all_0_9_9 = e2)
% 22.84/6.06 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (2041), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (730) all_0_10_10 = e2
% 22.84/6.06 |
% 22.84/6.06 | Equations (730) can reduce 985 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (985) ~ (all_0_10_10 = e2)
% 22.84/6.06 | (414) all_0_11_11 = e2
% 22.84/6.06 |
% 22.84/6.06 | Equations (414) can reduce 343 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.06 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (4875), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (382) all_0_13_13 = e2
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (447,382) yields a new equation:
% 22.84/6.06 | (500) e2 = e0
% 22.84/6.06 |
% 22.84/6.06 | Equations (500) can reduce 29 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.06 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (4885), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (220) all_0_18_18 = e1
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (216,220) yields a new equation:
% 22.84/6.06 | (966) e2 = e1
% 22.84/6.06 |
% 22.84/6.06 | Simplifying 966 yields:
% 22.84/6.06 | (742) e2 = e1
% 22.84/6.06 |
% 22.84/6.06 | Equations (742) can reduce 75 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.06 | (182) all_0_23_23 = e0
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (182,179) yields a new equation:
% 22.84/6.06 | (543) e1 = e0
% 22.84/6.06 |
% 22.84/6.06 | Equations (543) can reduce 157 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (322) all_0_8_8 = e0
% 22.84/6.06 | (399) all_0_11_11 = e3
% 22.84/6.06 |
% 22.84/6.06 | Equations (322) can reduce 158 to:
% 22.84/6.06 | (1740) ~ (all_0_12_12 = e0)
% 22.84/6.06 |
% 22.84/6.06 | Simplifying 1740 yields:
% 22.84/6.06 | (606) ~ (all_0_12_12 = e0)
% 22.84/6.06 |
% 22.84/6.06 | Equations (322) can reduce 121 to:
% 22.84/6.06 | (632) ~ (all_0_16_16 = e0)
% 22.84/6.06 |
% 22.84/6.06 | Simplifying 632 yields:
% 22.84/6.06 | (612) ~ (all_0_16_16 = e0)
% 22.84/6.06 |
% 22.84/6.06 | Equations (399) can reduce 23 to:
% 22.84/6.06 | (306) ~ (all_0_10_10 = e3)
% 22.84/6.06 |
% 22.84/6.06 | Equations (399) can reduce 132 to:
% 22.84/6.06 | (316) ~ (all_0_19_19 = e3)
% 22.84/6.06 |
% 22.84/6.06 | Simplifying 316 yields:
% 22.84/6.06 | (317) ~ (all_0_19_19 = e3)
% 22.84/6.06 |
% 22.84/6.06 | Equations (399) can reduce 413 to:
% 22.84/6.06 | (163) ~ (e3 = e1)
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (77), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (277) all_0_16_16 = e3
% 22.84/6.06 |
% 22.84/6.06 | Equations (277) can reduce 688 to:
% 22.84/6.06 | (111) ~ (e3 = e2)
% 22.84/6.06 |
% 22.84/6.06 | Equations (277) can reduce 770 to:
% 22.84/6.06 | (163) ~ (e3 = e1)
% 22.84/6.06 |
% 22.84/6.06 | Equations (277) can reduce 612 to:
% 22.84/6.06 | (3) ~ (e3 = e0)
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (146), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (621) all_0_8_8 = e1
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (322,621) yields a new equation:
% 22.84/6.06 | (543) e1 = e0
% 22.84/6.06 |
% 22.84/6.06 | Equations (543) can reduce 157 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (196) ~ (all_0_8_8 = e1)
% 22.84/6.06 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (27), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (695) all_0_10_10 = e3
% 22.84/6.06 |
% 22.84/6.06 | Equations (695) can reduce 306 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (306) ~ (all_0_10_10 = e3)
% 22.84/6.06 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (698), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (516) all_0_14_14 = e3
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (516,9592) yields a new equation:
% 22.84/6.06 | (3427) all_0_3_3 = e3
% 22.84/6.06 |
% 22.84/6.06 | Equations (516) can reduce 71 to:
% 22.84/6.06 | (641) ~ (all_0_15_15 = e3)
% 22.84/6.06 |
% 22.84/6.06 | Simplifying 641 yields:
% 22.84/6.06 | (642) ~ (all_0_15_15 = e3)
% 22.84/6.06 |
% 22.84/6.06 | Equations (516) can reduce 521 to:
% 22.84/6.06 | (111) ~ (e3 = e2)
% 22.84/6.06 |
% 22.84/6.06 | Equations (516) can reduce 470 to:
% 22.84/6.06 | (3) ~ (e3 = e0)
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (37), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (200) all_0_8_8 = e3
% 22.84/6.06 |
% 22.84/6.06 | Combining equations (322,200) yields a new equation:
% 22.84/6.06 | (323) e3 = e0
% 22.84/6.06 |
% 22.84/6.06 | Equations (323) can reduce 3 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.06 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.84/6.06 |
% 22.84/6.06 | Equations (322) can reduce 232 to:
% 22.84/6.06 | (189) ~ (e3 = e0)
% 22.84/6.06 |
% 22.84/6.06 | Simplifying 189 yields:
% 22.84/6.06 | (3) ~ (e3 = e0)
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (13), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (3192) ~ (all_0_3_3 = e3)
% 22.84/6.06 |
% 22.84/6.06 | Equations (3427) can reduce 3192 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (3427) all_0_3_3 = e3
% 22.84/6.06 | (10041) ~ (all_0_2_2 = e0) | ~ (all_0_18_18 = e2)
% 22.84/6.06 |
% 22.84/6.06 +-Applying beta-rule and splitting (10041), into two cases.
% 22.84/6.06 |-Branch one:
% 22.84/6.06 | (195) ~ (all_0_18_18 = e2)
% 22.84/6.06 |
% 22.84/6.06 | Equations (216) can reduce 195 to:
% 22.84/6.06 | (172) $false
% 22.84/6.06 |
% 22.84/6.06 |-The branch is then unsatisfiable
% 22.84/6.06 |-Branch two:
% 22.84/6.06 | (216) all_0_18_18 = e2
% 22.84/6.07 | (11991) ~ (all_0_2_2 = e0)
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (778), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (389) all_0_12_12 = e1
% 22.84/6.07 |
% 22.84/6.07 | Equations (389) can reduce 30 to:
% 22.84/6.07 | (4601) ~ (all_0_15_15 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 4601 yields:
% 22.84/6.07 | (536) ~ (all_0_15_15 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Equations (389) can reduce 42 to:
% 22.84/6.07 | (2141) ~ (all_0_20_20 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 2141 yields:
% 22.84/6.07 | (963) ~ (all_0_20_20 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Equations (389) can reduce 606 to:
% 22.84/6.07 | (157) ~ (e1 = e0)
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (117), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (608) all_0_16_16 = e0
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (277,608) yields a new equation:
% 22.84/6.07 | (564) e3 = e0
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 564 yields:
% 22.84/6.07 | (323) e3 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (323) can reduce 3 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (612) ~ (all_0_16_16 = e0)
% 22.84/6.07 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (66), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (492) all_0_8_8 = e2
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (492,322) yields a new equation:
% 22.84/6.07 | (499) e2 = e0
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 499 yields:
% 22.84/6.07 | (500) e2 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (500) can reduce 29 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (198) ~ (all_0_8_8 = e2)
% 22.84/6.07 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.07 |
% 22.84/6.07 | Equations (322) can reduce 198 to:
% 22.84/6.07 | (191) ~ (e2 = e0)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 191 yields:
% 22.84/6.07 | (29) ~ (e2 = e0)
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (653), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (371) all_0_17_17 = e0
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (368,371) yields a new equation:
% 22.84/6.07 | (542) e1 = e0
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 542 yields:
% 22.84/6.07 | (543) e1 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (543) can reduce 157 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (1184) ~ (all_0_17_17 = e0)
% 22.84/6.07 | (1198) all_0_18_18 = e0 | all_0_19_19 = e0
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (2231), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (385) all_0_12_12 = e2
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (385,389) yields a new equation:
% 22.84/6.07 | (966) e2 = e1
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 966 yields:
% 22.84/6.07 | (742) e2 = e1
% 22.84/6.07 |
% 22.84/6.07 | Equations (742) can reduce 75 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.07 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (1198), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (302) all_0_18_18 = e0
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (302,216) yields a new equation:
% 22.84/6.07 | (500) e2 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (500) can reduce 29 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (197) ~ (all_0_18_18 = e0)
% 22.84/6.07 | (291) all_0_19_19 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (291) can reduce 89 to:
% 22.84/6.07 | (184) ~ (all_0_15_15 = e0)
% 22.84/6.07 |
% 22.84/6.07 | Equations (291) can reduce 312 to:
% 22.84/6.07 | (193) ~ (e1 = e0)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 193 yields:
% 22.84/6.07 | (157) ~ (e1 = e0)
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (2235), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (685) all_0_16_16 = e2
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (277,685) yields a new equation:
% 22.84/6.07 | (511) e3 = e2
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 511 yields:
% 22.84/6.07 | (352) e3 = e2
% 22.84/6.07 |
% 22.84/6.07 | Equations (352) can reduce 111 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (688) ~ (all_0_16_16 = e2)
% 22.84/6.07 | (335) all_0_20_20 = e2
% 22.84/6.07 |
% 22.84/6.07 | Equations (335) can reduce 963 to:
% 22.84/6.07 | (75) ~ (e2 = e1)
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (139), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (726) all_0_15_15 = e3
% 22.84/6.07 |
% 22.84/6.07 | Equations (726) can reduce 642 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (642) ~ (all_0_15_15 = e3)
% 22.84/6.07 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (4875), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (382) all_0_13_13 = e2
% 22.84/6.07 |
% 22.84/6.07 | Equations (382) can reduce 135 to:
% 22.84/6.07 | (724) ~ (all_0_15_15 = e2)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 724 yields:
% 22.84/6.07 | (725) ~ (all_0_15_15 = e2)
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (729), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (752) all_0_15_15 = e2
% 22.84/6.07 |
% 22.84/6.07 | Equations (752) can reduce 725 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (725) ~ (all_0_15_15 = e2)
% 22.84/6.07 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (755), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (490) all_0_15_15 = e1
% 22.84/6.07 |
% 22.84/6.07 | Equations (490) can reduce 536 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (536) ~ (all_0_15_15 = e1)
% 22.84/6.07 | (270) all_0_15_15 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (270) can reduce 184 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.07 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (4885), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (220) all_0_18_18 = e1
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (216,220) yields a new equation:
% 22.84/6.07 | (966) e2 = e1
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 966 yields:
% 22.84/6.07 | (742) e2 = e1
% 22.84/6.07 |
% 22.84/6.07 | Equations (742) can reduce 75 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.07 | (182) all_0_23_23 = e0
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (182,179) yields a new equation:
% 22.84/6.07 | (543) e1 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (543) can reduce 157 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (307) ~ (all_0_12_12 = e1)
% 22.84/6.07 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (148), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (389) all_0_12_12 = e1
% 22.84/6.07 |
% 22.84/6.07 | Equations (389) can reduce 307 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (307) ~ (all_0_12_12 = e1)
% 22.84/6.07 | (1399) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (1399), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (444) all_0_13_13 = e1
% 22.84/6.07 |
% 22.84/6.07 | Equations (444) can reduce 167 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (167) ~ (all_0_13_13 = e1)
% 22.84/6.07 | (1715) all_0_14_14 = e1 | all_0_15_15 = e1
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (1715), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (262) all_0_14_14 = e1
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (262,516) yields a new equation:
% 22.84/6.07 | (556) e3 = e1
% 22.84/6.07 |
% 22.84/6.07 | Equations (556) can reduce 163 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (222) ~ (all_0_14_14 = e1)
% 22.84/6.07 | (490) all_0_15_15 = e1
% 22.84/6.07 |
% 22.84/6.07 | Equations (490) can reduce 536 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (308) ~ (all_0_14_14 = e3)
% 22.84/6.07 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (37), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (200) all_0_8_8 = e3
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (322,200) yields a new equation:
% 22.84/6.07 | (323) e3 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (323) can reduce 3 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.07 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (322) can reduce 232 to:
% 22.84/6.07 | (189) ~ (e3 = e0)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 189 yields:
% 22.84/6.07 | (3) ~ (e3 = e0)
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (703), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (212) all_0_18_18 = e3
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (212,216) yields a new equation:
% 22.84/6.07 | (511) e3 = e2
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 511 yields:
% 22.84/6.07 | (352) e3 = e2
% 22.84/6.07 |
% 22.84/6.07 | Equations (352) can reduce 111 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (211) ~ (all_0_18_18 = e3)
% 22.84/6.07 | (560) all_0_22_22 = e3
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (583,560) yields a new equation:
% 22.84/6.07 | (323) e3 = e0
% 22.84/6.07 |
% 22.84/6.07 | Equations (323) can reduce 3 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (208) ~ (all_0_16_16 = e3)
% 22.84/6.07 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (1015), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (360) all_0_17_17 = e3
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (368,360) yields a new equation:
% 22.84/6.07 | (556) e3 = e1
% 22.84/6.07 |
% 22.84/6.07 | Equations (556) can reduce 163 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (315) ~ (all_0_17_17 = e3)
% 22.84/6.07 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 22.84/6.07 |
% 22.84/6.07 +-Applying beta-rule and splitting (1031), into two cases.
% 22.84/6.07 |-Branch one:
% 22.84/6.07 | (212) all_0_18_18 = e3
% 22.84/6.07 |
% 22.84/6.07 | Combining equations (212,216) yields a new equation:
% 22.84/6.07 | (511) e3 = e2
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 511 yields:
% 22.84/6.07 | (352) e3 = e2
% 22.84/6.07 |
% 22.84/6.07 | Equations (352) can reduce 111 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (211) ~ (all_0_18_18 = e3)
% 22.84/6.07 | (331) all_0_19_19 = e3
% 22.84/6.07 |
% 22.84/6.07 | Equations (331) can reduce 317 to:
% 22.84/6.07 | (172) $false
% 22.84/6.07 |
% 22.84/6.07 |-The branch is then unsatisfiable
% 22.84/6.07 |-Branch two:
% 22.84/6.07 | (444) all_0_13_13 = e1
% 22.84/6.07 | (522) all_0_14_14 = e2
% 22.84/6.07 |
% 22.84/6.07 | Equations (444) can reduce 22 to:
% 22.84/6.07 | (423) ~ (all_0_9_9 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Equations (522) can reduce 40 to:
% 22.84/6.07 | (985) ~ (all_0_10_10 = e2)
% 22.84/6.07 |
% 22.84/6.07 | Equations (444) can reduce 93 to:
% 22.84/6.07 | (307) ~ (all_0_12_12 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Equations (522) can reduce 60 to:
% 22.84/6.07 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.07 |
% 22.84/6.07 | Equations (444,522) can reduce 12 to:
% 22.84/6.07 | (924) ~ (e2 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 924 yields:
% 22.84/6.07 | (75) ~ (e2 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Equations (444) can reduce 135 to:
% 22.84/6.07 | (4601) ~ (all_0_15_15 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 4601 yields:
% 22.84/6.07 | (536) ~ (all_0_15_15 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Equations (444) can reduce 5 to:
% 22.84/6.07 | (309) ~ (all_0_17_17 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 309 yields:
% 22.84/6.07 | (310) ~ (all_0_17_17 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Equations (444) can reduce 104 to:
% 22.84/6.07 | (2325) ~ (all_0_21_21 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 2325 yields:
% 22.84/6.07 | (969) ~ (all_0_21_21 = e1)
% 22.84/6.07 |
% 22.84/6.07 | Equations (522) can reduce 71 to:
% 22.84/6.07 | (724) ~ (all_0_15_15 = e2)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 724 yields:
% 22.84/6.07 | (725) ~ (all_0_15_15 = e2)
% 22.84/6.07 |
% 22.84/6.07 | Equations (522) can reduce 81 to:
% 22.84/6.07 | (732) ~ (all_0_18_18 = e2)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 732 yields:
% 22.84/6.07 | (195) ~ (all_0_18_18 = e2)
% 22.84/6.07 |
% 22.84/6.07 | Equations (522) can reduce 160 to:
% 22.84/6.07 | (2581) ~ (all_0_22_22 = e2)
% 22.84/6.07 |
% 22.84/6.07 | Simplifying 2581 yields:
% 22.84/6.07 | (531) ~ (all_0_22_22 = e2)
% 22.84/6.07 |
% 22.84/6.07 | From (444) and (62) follows:
% 22.84/6.07 | (12132) op(e1, e2) = all_0_5_5
% 22.84/6.08 |
% 22.84/6.08 | From (444) and (147) follows:
% 22.84/6.08 | (7057) op(e2, e2) = e1
% 22.84/6.08 |
% 22.84/6.08 | Instantiating formula (152) with e1, e2, all_0_5_5, all_0_17_17 and discharging atoms op(e1, e2) = all_0_5_5, op(e1, e2) = all_0_17_17, yields:
% 22.84/6.08 | (12134) all_0_5_5 = all_0_17_17
% 22.84/6.08 |
% 22.84/6.08 | From (12134) and (67) follows:
% 22.84/6.08 | (12135) op(all_0_17_17, e2) = all_0_4_4
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (73), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (198) ~ (all_0_8_8 = e2)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (137), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (168) ~ (all_0_23_23 = e1)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (109), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (169) ~ (all_0_23_23 = e2)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (127), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (211) ~ (all_0_18_18 = e3)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (94), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (197) ~ (all_0_18_18 = e0)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (33), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (212) all_0_18_18 = e3
% 22.84/6.08 |
% 22.84/6.08 | Equations (212) can reduce 211 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (211) ~ (all_0_18_18 = e3)
% 22.84/6.08 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (215), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (216) all_0_18_18 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (216) can reduce 195 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (195) ~ (all_0_18_18 = e2)
% 22.84/6.08 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (219), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (220) all_0_18_18 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (220) can reduce 43 to:
% 22.84/6.08 | (311) ~ (all_0_19_19 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 311 yields:
% 22.84/6.08 | (312) ~ (all_0_19_19 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Equations (220) can reduce 119 to:
% 22.84/6.08 | (3509) ~ (all_0_22_22 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 3509 yields:
% 22.84/6.08 | (975) ~ (all_0_22_22 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Equations (220) can reduce 195 to:
% 22.84/6.08 | (924) ~ (e2 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 924 yields:
% 22.84/6.08 | (75) ~ (e2 = e1)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (128), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (952) all_0_20_20 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (952) can reduce 101 to:
% 22.84/6.08 | (770) ~ (all_0_16_16 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Equations (952) can reduce 7 to:
% 22.84/6.08 | (2325) ~ (all_0_21_21 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 2325 yields:
% 22.84/6.08 | (969) ~ (all_0_21_21 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Equations (952) can reduce 156 to:
% 22.84/6.08 | (12160) ~ (all_0_23_23 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 12160 yields:
% 22.84/6.08 | (168) ~ (all_0_23_23 = e1)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (17), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (335) all_0_20_20 = e2
% 22.84/6.08 |
% 22.84/6.08 | Combining equations (335,952) yields a new equation:
% 22.84/6.08 | (966) e2 = e1
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 966 yields:
% 22.84/6.08 | (742) e2 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (742) can reduce 75 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (466) ~ (all_0_20_20 = e2)
% 22.84/6.08 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (66), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (492) all_0_8_8 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (492) can reduce 198 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (198) ~ (all_0_8_8 = e2)
% 22.84/6.08 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (509), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (510) all_0_21_21 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (510) can reduce 31 to:
% 22.84/6.08 | (12173) ~ (all_0_23_23 = e2)
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 12173 yields:
% 22.84/6.08 | (169) ~ (all_0_23_23 = e2)
% 22.84/6.08 |
% 22.84/6.08 | Equations (510) can reduce 969 to:
% 22.84/6.08 | (75) ~ (e2 = e1)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (2231), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (385) all_0_12_12 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (385) can reduce 336 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.08 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (2235), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (685) all_0_16_16 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (685) can reduce 138 to:
% 22.84/6.08 | (4783) ~ (all_0_19_19 = e2)
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 4783 yields:
% 22.84/6.08 | (456) ~ (all_0_19_19 = e2)
% 22.84/6.08 |
% 22.84/6.08 | Equations (685) can reduce 770 to:
% 22.84/6.08 | (75) ~ (e2 = e1)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (142), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (418) all_0_11_11 = e1
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (9), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (414) all_0_11_11 = e2
% 22.84/6.08 |
% 22.84/6.08 | Combining equations (414,418) yields a new equation:
% 22.84/6.08 | (966) e2 = e1
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 966 yields:
% 22.84/6.08 | (742) e2 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (742) can reduce 75 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (343) ~ (all_0_11_11 = e2)
% 22.84/6.08 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (1762), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (752) all_0_15_15 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (752) can reduce 725 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (725) ~ (all_0_15_15 = e2)
% 22.84/6.08 | (3443) all_0_19_19 = e2 | all_0_23_23 = e2
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (3443), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (342) all_0_19_19 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (342) can reduce 456 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (456) ~ (all_0_19_19 = e2)
% 22.84/6.08 | (175) all_0_23_23 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (175) can reduce 169 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (413) ~ (all_0_11_11 = e1)
% 22.84/6.08 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (489), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (490) all_0_15_15 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (490) can reduce 536 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (536) ~ (all_0_15_15 = e1)
% 22.84/6.08 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (537), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (458) all_0_19_19 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (458) can reduce 312 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (312) ~ (all_0_19_19 = e1)
% 22.84/6.08 | (179) all_0_23_23 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (179) can reduce 168 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (688) ~ (all_0_16_16 = e2)
% 22.84/6.08 | (335) all_0_20_20 = e2
% 22.84/6.08 |
% 22.84/6.08 | Combining equations (952,335) yields a new equation:
% 22.84/6.08 | (742) e2 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (742) can reduce 75 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (514) ~ (all_0_21_21 = e2)
% 22.84/6.08 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (515), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (520) all_0_22_22 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (520) can reduce 531 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (531) ~ (all_0_22_22 = e2)
% 22.84/6.08 | (175) all_0_23_23 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (175) can reduce 169 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (963) ~ (all_0_20_20 = e1)
% 22.84/6.08 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (964), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (554) all_0_21_21 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (554) can reduce 969 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (969) ~ (all_0_21_21 = e1)
% 22.84/6.08 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (970), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (864) all_0_22_22 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (864) can reduce 975 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (975) ~ (all_0_22_22 = e1)
% 22.84/6.08 | (179) all_0_23_23 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (179) can reduce 168 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.08 | (302) all_0_18_18 = e0
% 22.84/6.08 |
% 22.84/6.08 | Equations (302) can reduce 197 to:
% 22.84/6.08 | (172) $false
% 22.84/6.08 |
% 22.84/6.08 |-The branch is then unsatisfiable
% 22.84/6.08 |-Branch two:
% 22.84/6.08 | (302) all_0_18_18 = e0
% 22.84/6.08 | (458) all_0_19_19 = e1
% 22.84/6.08 |
% 22.84/6.08 | Equations (302) can reduce 51 to:
% 22.84/6.08 | (426) ~ (all_0_10_10 = e0)
% 22.84/6.08 |
% 22.84/6.08 | Equations (458) can reduce 132 to:
% 22.84/6.08 | (413) ~ (all_0_11_11 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Equations (458) can reduce 89 to:
% 22.84/6.08 | (536) ~ (all_0_15_15 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Equations (458) can reduce 138 to:
% 22.84/6.08 | (770) ~ (all_0_16_16 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Equations (458) can reduce 10 to:
% 22.84/6.08 | (310) ~ (all_0_17_17 = e1)
% 22.84/6.08 |
% 22.84/6.08 | Equations (302,458) can reduce 43 to:
% 22.84/6.08 | (193) ~ (e1 = e0)
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 193 yields:
% 22.84/6.08 | (157) ~ (e1 = e0)
% 22.84/6.08 |
% 22.84/6.08 | Equations (302) can reduce 119 to:
% 22.84/6.08 | (659) ~ (all_0_22_22 = e0)
% 22.84/6.08 |
% 22.84/6.08 | Simplifying 659 yields:
% 22.84/6.08 | (188) ~ (all_0_22_22 = e0)
% 22.84/6.08 |
% 22.84/6.08 +-Applying beta-rule and splitting (9), into two cases.
% 22.84/6.08 |-Branch one:
% 22.84/6.08 | (414) all_0_11_11 = e2
% 22.84/6.08 |
% 22.84/6.08 | Equations (414) can reduce 124 to:
% 22.84/6.08 | (198) ~ (all_0_8_8 = e2)
% 22.84/6.08 |
% 22.84/6.08 | Equations (414) can reduce 54 to:
% 22.84/6.08 | (383) ~ (all_0_9_9 = e2)
% 22.84/6.08 |
% 22.84/6.08 | Equations (414) can reduce 23 to:
% 22.84/6.08 | (985) ~ (all_0_10_10 = e2)
% 22.84/6.08 |
% 22.84/6.08 | Equations (414) can reduce 131 to:
% 22.84/6.08 | (12173) ~ (all_0_23_23 = e2)
% 22.84/6.08 |
% 22.84/6.09 | Simplifying 12173 yields:
% 22.84/6.09 | (169) ~ (all_0_23_23 = e2)
% 22.84/6.09 |
% 22.84/6.09 | Equations (414) can reduce 413 to:
% 22.84/6.09 | (75) ~ (e2 = e1)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (64), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (199) ~ (all_0_8_8 = e0)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (63), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (322) all_0_8_8 = e0
% 22.84/6.09 |
% 22.84/6.09 | Equations (322) can reduce 199 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (199) ~ (all_0_8_8 = e0)
% 22.84/6.09 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (432), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (424) all_0_9_9 = e0
% 22.84/6.09 |
% 22.84/6.09 | Equations (424) can reduce 116 to:
% 22.84/6.09 | (199) ~ (all_0_8_8 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Equations (424) can reduce 166 to:
% 22.84/6.09 | (630) ~ (all_0_10_10 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 630 yields:
% 22.84/6.09 | (426) ~ (all_0_10_10 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Equations (424) can reduce 74 to:
% 22.84/6.09 | (1547) ~ (all_0_21_21 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 1547 yields:
% 22.84/6.09 | (187) ~ (all_0_21_21 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Equations (424) can reduce 423 to:
% 22.84/6.09 | (193) ~ (e1 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 193 yields:
% 22.84/6.09 | (157) ~ (e1 = e0)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (20), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (196) ~ (all_0_8_8 = e1)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (146), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (621) all_0_8_8 = e1
% 22.84/6.09 |
% 22.84/6.09 | Equations (621) can reduce 196 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (196) ~ (all_0_8_8 = e1)
% 22.84/6.09 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (778), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (389) all_0_12_12 = e1
% 22.84/6.09 |
% 22.84/6.09 | Equations (389) can reduce 307 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (307) ~ (all_0_12_12 = e1)
% 22.84/6.09 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (2268), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (305) all_0_16_16 = e1
% 22.84/6.09 |
% 22.84/6.09 | Equations (305) can reduce 770 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (770) ~ (all_0_16_16 = e1)
% 22.84/6.09 | (952) all_0_20_20 = e1
% 22.84/6.09 |
% 22.84/6.09 | Equations (952) can reduce 42 to:
% 22.84/6.09 | (307) ~ (all_0_12_12 = e1)
% 22.84/6.09 |
% 22.84/6.09 | Equations (952) can reduce 101 to:
% 22.84/6.09 | (770) ~ (all_0_16_16 = e1)
% 22.84/6.09 |
% 22.84/6.09 | Equations (952) can reduce 7 to:
% 22.84/6.09 | (2325) ~ (all_0_21_21 = e1)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 2325 yields:
% 22.84/6.09 | (969) ~ (all_0_21_21 = e1)
% 22.84/6.09 |
% 22.84/6.09 | Equations (952) can reduce 14 to:
% 22.84/6.09 | (3509) ~ (all_0_22_22 = e1)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 3509 yields:
% 22.84/6.09 | (975) ~ (all_0_22_22 = e1)
% 22.84/6.09 |
% 22.84/6.09 | Equations (952) can reduce 156 to:
% 22.84/6.09 | (12160) ~ (all_0_23_23 = e1)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 12160 yields:
% 22.84/6.09 | (168) ~ (all_0_23_23 = e1)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (65), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (399) all_0_11_11 = e3
% 22.84/6.09 |
% 22.84/6.09 | Combining equations (399,414) yields a new equation:
% 22.84/6.09 | (511) e3 = e2
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 511 yields:
% 22.84/6.09 | (352) e3 = e2
% 22.84/6.09 |
% 22.84/6.09 | Equations (352) can reduce 111 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (204) ~ (all_0_11_11 = e3)
% 22.84/6.09 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (1358), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (726) all_0_15_15 = e3
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (143), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (560) all_0_22_22 = e3
% 22.84/6.09 |
% 22.84/6.09 | Equations (560) can reduce 72 to:
% 22.84/6.09 | (306) ~ (all_0_10_10 = e3)
% 22.84/6.09 |
% 22.84/6.09 | Equations (560) can reduce 531 to:
% 22.84/6.09 | (111) ~ (e3 = e2)
% 22.84/6.09 |
% 22.84/6.09 | Equations (560) can reduce 188 to:
% 22.84/6.09 | (3) ~ (e3 = e0)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (151), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (338) all_0_9_9 = e3
% 22.84/6.09 |
% 22.84/6.09 | Combining equations (338,424) yields a new equation:
% 22.84/6.09 | (564) e3 = e0
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 564 yields:
% 22.84/6.09 | (323) e3 = e0
% 22.84/6.09 |
% 22.84/6.09 | Equations (323) can reduce 3 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (202) ~ (all_0_9_9 = e3)
% 22.84/6.09 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 22.84/6.09 |
% 22.84/6.09 | Equations (424) can reduce 202 to:
% 22.84/6.09 | (189) ~ (e3 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 189 yields:
% 22.84/6.09 | (3) ~ (e3 = e0)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (66), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (492) all_0_8_8 = e2
% 22.84/6.09 |
% 22.84/6.09 | Equations (492) can reduce 198 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (198) ~ (all_0_8_8 = e2)
% 22.84/6.09 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (92), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (200) all_0_8_8 = e3
% 22.84/6.09 |
% 22.84/6.09 | Equations (200) can reduce 158 to:
% 22.84/6.09 | (205) ~ (all_0_12_12 = e3)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 205 yields:
% 22.84/6.09 | (206) ~ (all_0_12_12 = e3)
% 22.84/6.09 |
% 22.84/6.09 | Equations (200) can reduce 121 to:
% 22.84/6.09 | (207) ~ (all_0_16_16 = e3)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 207 yields:
% 22.84/6.09 | (208) ~ (all_0_16_16 = e3)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (2231), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (385) all_0_12_12 = e2
% 22.84/6.09 |
% 22.84/6.09 | Equations (385) can reduce 336 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.09 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (2235), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (685) all_0_16_16 = e2
% 22.84/6.09 |
% 22.84/6.09 | Equations (685) can reduce 45 to:
% 22.84/6.09 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.09 |
% 22.84/6.09 | Equations (685) can reduce 144 to:
% 22.84/6.09 | (2237) ~ (all_0_17_17 = e2)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 2237 yields:
% 22.84/6.09 | (344) ~ (all_0_17_17 = e2)
% 22.84/6.09 |
% 22.84/6.09 | Equations (685) can reduce 208 to:
% 22.84/6.09 | (345) ~ (e3 = e2)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 345 yields:
% 22.84/6.09 | (111) ~ (e3 = e2)
% 22.84/6.09 |
% 22.84/6.09 | Equations (685) can reduce 770 to:
% 22.84/6.09 | (75) ~ (e2 = e1)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (17), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (335) all_0_20_20 = e2
% 22.84/6.09 |
% 22.84/6.09 | Combining equations (952,335) yields a new equation:
% 22.84/6.09 | (742) e2 = e1
% 22.84/6.09 |
% 22.84/6.09 | Equations (742) can reduce 75 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (466) ~ (all_0_20_20 = e2)
% 22.84/6.09 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 22.84/6.09 |
% 22.84/6.09 | Equations (952) can reduce 466 to:
% 22.84/6.09 | (924) ~ (e2 = e1)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 924 yields:
% 22.84/6.09 | (75) ~ (e2 = e1)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (78), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (254) all_0_12_12 = e3
% 22.84/6.09 |
% 22.84/6.09 | Equations (254) can reduce 206 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (206) ~ (all_0_12_12 = e3)
% 22.84/6.09 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (381), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (385) all_0_12_12 = e2
% 22.84/6.09 |
% 22.84/6.09 | Equations (385) can reduce 336 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.09 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (388), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (389) all_0_12_12 = e1
% 22.84/6.09 |
% 22.84/6.09 | Equations (389) can reduce 307 to:
% 22.84/6.09 | (172) $false
% 22.84/6.09 |
% 22.84/6.09 |-The branch is then unsatisfiable
% 22.84/6.09 |-Branch two:
% 22.84/6.09 | (307) ~ (all_0_12_12 = e1)
% 22.84/6.09 | (392) all_0_12_12 = e0
% 22.84/6.09 |
% 22.84/6.09 | Equations (392) can reduce 206 to:
% 22.84/6.09 | (189) ~ (e3 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 189 yields:
% 22.84/6.09 | (3) ~ (e3 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Equations (392) can reduce 336 to:
% 22.84/6.09 | (191) ~ (e2 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 191 yields:
% 22.84/6.09 | (29) ~ (e2 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Equations (392) can reduce 307 to:
% 22.84/6.09 | (193) ~ (e1 = e0)
% 22.84/6.09 |
% 22.84/6.09 | Simplifying 193 yields:
% 22.84/6.09 | (157) ~ (e1 = e0)
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (99), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (223), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (224), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 22.84/6.09 |
% 22.84/6.09 +-Applying beta-rule and splitting (225), into two cases.
% 22.84/6.09 |-Branch one:
% 22.84/6.09 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (226), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (227), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (228), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (229), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (230), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (231) yields:
% 22.84/6.10 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.10 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.84/6.10 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.84/6.10 | (235) all_0_9_9 = e2
% 22.84/6.10 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (235,424) yields a new equation:
% 22.84/6.10 | (499) e2 = e0
% 22.84/6.10 |
% 22.84/6.10 | Simplifying 499 yields:
% 22.84/6.10 | (500) e2 = e0
% 22.84/6.10 |
% 22.84/6.10 | Equations (500) can reduce 29 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (238) yields:
% 22.84/6.10 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.10 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.84/6.10 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.84/6.10 | (242) all_0_10_10 = e1
% 22.84/6.10 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.84/6.10 |
% 22.84/6.10 | Equations (200) can reduce 232 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (245) yields:
% 22.84/6.10 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.10 | (247) all_0_11_11 = e0
% 22.84/6.10 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 22.84/6.10 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 22.84/6.10 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (247,414) yields a new equation:
% 22.84/6.10 | (500) e2 = e0
% 22.84/6.10 |
% 22.84/6.10 | Equations (500) can reduce 29 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (252) yields:
% 22.84/6.10 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.10 | (254) all_0_12_12 = e3
% 22.84/6.10 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.84/6.10 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.84/6.10 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (254,392) yields a new equation:
% 22.84/6.10 | (564) e3 = e0
% 22.84/6.10 |
% 22.84/6.10 | Simplifying 564 yields:
% 22.84/6.10 | (323) e3 = e0
% 22.84/6.10 |
% 22.84/6.10 | Equations (323) can reduce 3 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (259) yields:
% 22.84/6.10 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.10 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.84/6.10 | (262) all_0_14_14 = e1
% 22.84/6.10 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.84/6.10 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (522,262) yields a new equation:
% 22.84/6.10 | (966) e2 = e1
% 22.84/6.10 |
% 22.84/6.10 | Simplifying 966 yields:
% 22.84/6.10 | (742) e2 = e1
% 22.84/6.10 |
% 22.84/6.10 | Equations (742) can reduce 75 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (266) yields:
% 22.84/6.10 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.10 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 22.84/6.10 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 22.84/6.10 | (270) all_0_15_15 = e0
% 22.84/6.10 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (270,726) yields a new equation:
% 22.84/6.10 | (323) e3 = e0
% 22.84/6.10 |
% 22.84/6.10 | Equations (323) can reduce 3 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (273) yields:
% 22.84/6.10 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.84/6.10 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.10 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.84/6.10 | (277) all_0_16_16 = e3
% 22.84/6.10 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (685,277) yields a new equation:
% 22.84/6.10 | (352) e3 = e2
% 22.84/6.10 |
% 22.84/6.10 | Equations (352) can reduce 111 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (280) yields:
% 22.84/6.10 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.84/6.10 | (282) all_0_17_17 = e2
% 22.84/6.10 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.10 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.84/6.10 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.84/6.10 |
% 22.84/6.10 | Equations (282) can reduce 344 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (287) yields:
% 22.84/6.10 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 22.84/6.10 | (275) ~ (all_0_18_18 = e1)
% 22.84/6.10 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 22.84/6.10 | (291) all_0_19_19 = e0
% 22.84/6.10 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (458,291) yields a new equation:
% 22.84/6.10 | (542) e1 = e0
% 22.84/6.10 |
% 22.84/6.10 | Simplifying 542 yields:
% 22.84/6.10 | (543) e1 = e0
% 22.84/6.10 |
% 22.84/6.10 | Equations (543) can reduce 157 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 22.84/6.10 |
% 22.84/6.10 | Applying alpha-rule on (294) yields:
% 22.84/6.10 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 22.84/6.10 | (296) ~ (all_0_23_23 = e0)
% 22.84/6.10 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 22.84/6.10 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 22.84/6.10 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (297), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (312) ~ (all_0_19_19 = e1)
% 22.84/6.10 |
% 22.84/6.10 | Equations (458) can reduce 312 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (458) all_0_19_19 = e1
% 22.84/6.10 | (197) ~ (all_0_18_18 = e0)
% 22.84/6.10 |
% 22.84/6.10 | Equations (302) can reduce 197 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (688) ~ (all_0_16_16 = e2)
% 22.84/6.10 | (335) all_0_20_20 = e2
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (335,952) yields a new equation:
% 22.84/6.10 | (966) e2 = e1
% 22.84/6.10 |
% 22.84/6.10 | Simplifying 966 yields:
% 22.84/6.10 | (742) e2 = e1
% 22.84/6.10 |
% 22.84/6.10 | Equations (742) can reduce 75 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (232) ~ (all_0_8_8 = e3)
% 22.84/6.10 | (7571) all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (7571), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (338) all_0_9_9 = e3
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (338,424) yields a new equation:
% 22.84/6.10 | (564) e3 = e0
% 22.84/6.10 |
% 22.84/6.10 | Simplifying 564 yields:
% 22.84/6.10 | (323) e3 = e0
% 22.84/6.10 |
% 22.84/6.10 | Equations (323) can reduce 3 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (202) ~ (all_0_9_9 = e3)
% 22.84/6.10 | (7682) all_0_10_10 = e3 | all_0_11_11 = e3
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (7682), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (695) all_0_10_10 = e3
% 22.84/6.10 |
% 22.84/6.10 | Equations (695) can reduce 306 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (306) ~ (all_0_10_10 = e3)
% 22.84/6.10 | (399) all_0_11_11 = e3
% 22.84/6.10 |
% 22.84/6.10 | Combining equations (399,414) yields a new equation:
% 22.84/6.10 | (511) e3 = e2
% 22.84/6.10 |
% 22.84/6.10 | Simplifying 511 yields:
% 22.84/6.10 | (352) e3 = e2
% 22.84/6.10 |
% 22.84/6.10 | Equations (352) can reduce 111 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (319) ~ (all_0_22_22 = e3)
% 22.84/6.10 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (66), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (492) all_0_8_8 = e2
% 22.84/6.10 |
% 22.84/6.10 | Equations (492) can reduce 198 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (198) ~ (all_0_8_8 = e2)
% 22.84/6.10 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (2231), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (385) all_0_12_12 = e2
% 22.84/6.10 |
% 22.84/6.10 | Equations (385) can reduce 336 to:
% 22.84/6.10 | (172) $false
% 22.84/6.10 |
% 22.84/6.10 |-The branch is then unsatisfiable
% 22.84/6.10 |-Branch two:
% 22.84/6.10 | (336) ~ (all_0_12_12 = e2)
% 22.84/6.10 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 22.84/6.10 |
% 22.84/6.10 +-Applying beta-rule and splitting (2235), into two cases.
% 22.84/6.10 |-Branch one:
% 22.84/6.10 | (685) all_0_16_16 = e2
% 22.84/6.10 |
% 22.84/6.10 | Equations (685) can reduce 144 to:
% 22.84/6.10 | (2237) ~ (all_0_17_17 = e2)
% 22.84/6.10 |
% 22.84/6.11 | Simplifying 2237 yields:
% 22.84/6.11 | (344) ~ (all_0_17_17 = e2)
% 22.84/6.11 |
% 22.84/6.11 | Equations (685) can reduce 770 to:
% 22.84/6.11 | (75) ~ (e2 = e1)
% 22.84/6.11 |
% 22.84/6.11 +-Applying beta-rule and splitting (84), into two cases.
% 22.84/6.11 |-Branch one:
% 22.84/6.11 | (613) all_0_20_20 = e0
% 22.84/6.11 |
% 22.84/6.11 | Combining equations (952,613) yields a new equation:
% 22.84/6.11 | (542) e1 = e0
% 22.84/6.11 |
% 22.84/6.11 | Simplifying 542 yields:
% 22.84/6.11 | (543) e1 = e0
% 22.84/6.11 |
% 22.84/6.11 | Equations (543) can reduce 157 to:
% 22.84/6.11 | (172) $false
% 22.84/6.11 |
% 22.84/6.11 |-The branch is then unsatisfiable
% 22.84/6.11 |-Branch two:
% 22.84/6.11 | (186) ~ (all_0_20_20 = e0)
% 22.84/6.11 | (12484) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0
% 22.84/6.11 |
% 22.84/6.11 +-Applying beta-rule and splitting (12484), into two cases.
% 22.84/6.11 |-Branch one:
% 22.84/6.11 | (1185) all_0_21_21 = e0
% 22.84/6.11 |
% 22.84/6.11 | Equations (1185) can reduce 187 to:
% 22.84/6.11 | (172) $false
% 22.84/6.11 |
% 22.84/6.11 |-The branch is then unsatisfiable
% 22.84/6.11 |-Branch two:
% 22.84/6.11 | (187) ~ (all_0_21_21 = e0)
% 22.84/6.11 | (12488) all_0_22_22 = e0 | all_0_23_23 = e0
% 22.84/6.11 |
% 22.84/6.11 +-Applying beta-rule and splitting (12488), into two cases.
% 22.84/6.11 |-Branch one:
% 22.84/6.11 | (583) all_0_22_22 = e0
% 22.84/6.11 |
% 22.84/6.11 | Equations (583) can reduce 188 to:
% 22.84/6.11 | (172) $false
% 22.84/6.11 |
% 22.84/6.11 |-The branch is then unsatisfiable
% 22.84/6.11 |-Branch two:
% 22.84/6.11 | (188) ~ (all_0_22_22 = e0)
% 22.84/6.11 | (182) all_0_23_23 = e0
% 22.84/6.11 |
% 22.84/6.11 | Equations (182) can reduce 39 to:
% 22.84/6.11 | (188) ~ (all_0_22_22 = e0)
% 22.84/6.11 |
% 22.84/6.11 | Equations (182) can reduce 169 to:
% 22.84/6.11 | (191) ~ (e2 = e0)
% 22.84/6.11 |
% 22.84/6.11 | Simplifying 191 yields:
% 22.84/6.11 | (29) ~ (e2 = e0)
% 22.84/6.11 |
% 22.84/6.11 +-Applying beta-rule and splitting (61), into two cases.
% 22.84/6.11 |-Branch one:
% 22.84/6.11 | (235) all_0_9_9 = e2
% 22.84/6.11 |
% 22.84/6.11 | Combining equations (235,424) yields a new equation:
% 22.84/6.11 | (499) e2 = e0
% 22.84/6.11 |
% 22.84/6.11 | Simplifying 499 yields:
% 22.84/6.11 | (500) e2 = e0
% 22.84/6.11 |
% 22.84/6.11 | Equations (500) can reduce 29 to:
% 22.84/6.11 | (172) $false
% 22.84/6.11 |
% 22.84/6.11 |-The branch is then unsatisfiable
% 22.84/6.11 |-Branch two:
% 22.84/6.11 | (383) ~ (all_0_9_9 = e2)
% 22.84/6.11 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 22.84/6.11 |
% 22.84/6.11 +-Applying beta-rule and splitting (930), into two cases.
% 22.84/6.11 |-Branch one:
% 22.84/6.11 | (382) all_0_13_13 = e2
% 22.84/6.11 |
% 22.84/6.11 | Combining equations (382,444) yields a new equation:
% 22.84/6.11 | (966) e2 = e1
% 22.84/6.11 |
% 22.84/6.11 | Simplifying 966 yields:
% 22.84/6.11 | (742) e2 = e1
% 22.84/6.11 |
% 22.84/6.11 | Equations (742) can reduce 75 to:
% 22.84/6.11 | (172) $false
% 22.84/6.11 |
% 22.84/6.11 |-The branch is then unsatisfiable
% 22.84/6.11 |-Branch two:
% 22.84/6.11 | (253) ~ (all_0_13_13 = e2)
% 22.84/6.11 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 22.84/6.11 |
% 22.84/6.11 +-Applying beta-rule and splitting (939), into two cases.
% 22.84/6.11 |-Branch one:
% 22.84/6.11 | (282) all_0_17_17 = e2
% 22.84/6.11 |
% 22.84/6.11 | Equations (282) can reduce 344 to:
% 22.84/6.11 | (172) $false
% 22.84/6.11 |
% 22.84/6.11 |-The branch is then unsatisfiable
% 22.84/6.11 |-Branch two:
% 22.84/6.11 | (344) ~ (all_0_17_17 = e2)
% 22.84/6.11 | (510) all_0_21_21 = e2
% 22.84/6.11 |
% 22.84/6.11 | Equations (510) can reduce 150 to:
% 22.84/6.11 | (2581) ~ (all_0_22_22 = e2)
% 22.84/6.11 |
% 22.84/6.11 | Simplifying 2581 yields:
% 22.84/6.11 | (531) ~ (all_0_22_22 = e2)
% 22.84/6.11 |
% 22.84/6.11 +-Applying beta-rule and splitting (2882), into two cases.
% 22.84/6.11 |-Branch one:
% 22.84/6.11 | (520) all_0_22_22 = e2
% 22.84/6.11 |
% 22.84/6.11 | Equations (520) can reduce 531 to:
% 22.84/6.11 | (172) $false
% 22.84/6.11 |
% 22.84/6.11 |-The branch is then unsatisfiable
% 22.84/6.11 |-Branch two:
% 22.84/6.11 | (531) ~ (all_0_22_22 = e2)
% 22.84/6.11 | (4223) all_0_22_22 = e1 | all_0_22_22 = e0
% 22.84/6.11 |
% 22.84/6.11 +-Applying beta-rule and splitting (4223), into two cases.
% 22.84/6.11 |-Branch one:
% 22.84/6.11 | (864) all_0_22_22 = e1
% 22.84/6.11 |
% 22.84/6.11 | Equations (864) can reduce 975 to:
% 22.84/6.11 | (172) $false
% 22.84/6.11 |
% 22.84/6.11 |-The branch is then unsatisfiable
% 22.84/6.11 |-Branch two:
% 22.84/6.11 | (975) ~ (all_0_22_22 = e1)
% 22.84/6.11 | (583) all_0_22_22 = e0
% 22.84/6.11 |
% 23.14/6.11 | Equations (583) can reduce 188 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (688) ~ (all_0_16_16 = e2)
% 23.14/6.11 | (335) all_0_20_20 = e2
% 23.14/6.11 |
% 23.14/6.11 | Combining equations (335,952) yields a new equation:
% 23.14/6.11 | (966) e2 = e1
% 23.14/6.11 |
% 23.14/6.11 | Simplifying 966 yields:
% 23.14/6.11 | (742) e2 = e1
% 23.14/6.11 |
% 23.14/6.11 | Equations (742) can reduce 75 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (642) ~ (all_0_15_15 = e3)
% 23.14/6.11 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (143), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (560) all_0_22_22 = e3
% 23.14/6.11 |
% 23.14/6.11 | Equations (560) can reduce 72 to:
% 23.14/6.11 | (306) ~ (all_0_10_10 = e3)
% 23.14/6.11 |
% 23.14/6.11 | Equations (560) can reduce 150 to:
% 23.14/6.11 | (449) ~ (all_0_21_21 = e3)
% 23.14/6.11 |
% 23.14/6.11 | Equations (560) can reduce 39 to:
% 23.14/6.11 | (12533) ~ (all_0_23_23 = e3)
% 23.14/6.11 |
% 23.14/6.11 | Simplifying 12533 yields:
% 23.14/6.11 | (170) ~ (all_0_23_23 = e3)
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (154), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (171) all_0_23_23 = e3
% 23.14/6.11 |
% 23.14/6.11 | Equations (171) can reduce 170 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (170) ~ (all_0_23_23 = e3)
% 23.14/6.11 | (174) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (4), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (356) all_0_21_21 = e3
% 23.14/6.11 |
% 23.14/6.11 | Equations (356) can reduce 449 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (449) ~ (all_0_21_21 = e3)
% 23.14/6.11 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (174), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (175) all_0_23_23 = e2
% 23.14/6.11 |
% 23.14/6.11 | Equations (175) can reduce 169 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (169) ~ (all_0_23_23 = e2)
% 23.14/6.11 | (178) all_0_23_23 = e1 | all_0_23_23 = e0
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (178), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (179) all_0_23_23 = e1
% 23.14/6.11 |
% 23.14/6.11 | Equations (179) can reduce 168 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (168) ~ (all_0_23_23 = e1)
% 23.14/6.11 | (182) all_0_23_23 = e0
% 23.14/6.11 |
% 23.14/6.11 | Equations (182) can reduce 31 to:
% 23.14/6.11 | (187) ~ (all_0_21_21 = e0)
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (50), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (695) all_0_10_10 = e3
% 23.14/6.11 |
% 23.14/6.11 | Equations (695) can reduce 306 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (306) ~ (all_0_10_10 = e3)
% 23.14/6.11 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (2018), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (510) all_0_21_21 = e2
% 23.14/6.11 |
% 23.14/6.11 | Equations (510) can reduce 76 to:
% 23.14/6.11 | (344) ~ (all_0_17_17 = e2)
% 23.14/6.11 |
% 23.14/6.11 | Equations (510) can reduce 449 to:
% 23.14/6.11 | (345) ~ (e3 = e2)
% 23.14/6.11 |
% 23.14/6.11 | Simplifying 345 yields:
% 23.14/6.11 | (111) ~ (e3 = e2)
% 23.14/6.11 |
% 23.14/6.11 | Equations (510) can reduce 187 to:
% 23.14/6.11 | (29) ~ (e2 = e0)
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (1231), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (730) all_0_10_10 = e2
% 23.14/6.11 |
% 23.14/6.11 | Equations (730) can reduce 985 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (985) ~ (all_0_10_10 = e2)
% 23.14/6.11 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (1235), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (242) all_0_10_10 = e1
% 23.14/6.11 |
% 23.14/6.11 | Equations (242) can reduce 24 to:
% 23.14/6.11 | (196) ~ (all_0_8_8 = e1)
% 23.14/6.11 |
% 23.14/6.11 | Equations (242) can reduce 306 to:
% 23.14/6.11 | (313) ~ (e3 = e1)
% 23.14/6.11 |
% 23.14/6.11 | Simplifying 313 yields:
% 23.14/6.11 | (163) ~ (e3 = e1)
% 23.14/6.11 |
% 23.14/6.11 | Equations (242) can reduce 985 to:
% 23.14/6.11 | (924) ~ (e2 = e1)
% 23.14/6.11 |
% 23.14/6.11 | Simplifying 924 yields:
% 23.14/6.11 | (75) ~ (e2 = e1)
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (113), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (685) all_0_16_16 = e2
% 23.14/6.11 |
% 23.14/6.11 | Equations (685) can reduce 121 to:
% 23.14/6.11 | (198) ~ (all_0_8_8 = e2)
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (165), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (254) all_0_12_12 = e3
% 23.14/6.11 |
% 23.14/6.11 | Equations (254) can reduce 158 to:
% 23.14/6.11 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (26), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (200) all_0_8_8 = e3
% 23.14/6.11 |
% 23.14/6.11 | Equations (200) can reduce 232 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.11 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (616), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (492) all_0_8_8 = e2
% 23.14/6.11 |
% 23.14/6.11 | Equations (492) can reduce 198 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (198) ~ (all_0_8_8 = e2)
% 23.14/6.11 | (620) all_0_8_8 = e1 | all_0_8_8 = e0
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (620), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (621) all_0_8_8 = e1
% 23.14/6.11 |
% 23.14/6.11 | Equations (621) can reduce 196 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (196) ~ (all_0_8_8 = e1)
% 23.14/6.11 | (322) all_0_8_8 = e0
% 23.14/6.11 |
% 23.14/6.11 | Equations (322) can reduce 199 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.11 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (714), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (347) all_0_13_13 = e3
% 23.14/6.11 |
% 23.14/6.11 | Combining equations (347,444) yields a new equation:
% 23.14/6.11 | (555) e3 = e1
% 23.14/6.11 |
% 23.14/6.11 | Simplifying 555 yields:
% 23.14/6.11 | (556) e3 = e1
% 23.14/6.11 |
% 23.14/6.11 | Equations (556) can reduce 163 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (337) ~ (all_0_13_13 = e3)
% 23.14/6.11 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 23.14/6.11 |
% 23.14/6.11 +-Applying beta-rule and splitting (1007), into two cases.
% 23.14/6.11 |-Branch one:
% 23.14/6.11 | (516) all_0_14_14 = e3
% 23.14/6.11 |
% 23.14/6.11 | Combining equations (522,516) yields a new equation:
% 23.14/6.11 | (352) e3 = e2
% 23.14/6.11 |
% 23.14/6.11 | Equations (352) can reduce 111 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.11 |-Branch two:
% 23.14/6.11 | (308) ~ (all_0_14_14 = e3)
% 23.14/6.11 | (726) all_0_15_15 = e3
% 23.14/6.11 |
% 23.14/6.11 | Equations (726) can reduce 642 to:
% 23.14/6.11 | (172) $false
% 23.14/6.11 |
% 23.14/6.11 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (688) ~ (all_0_16_16 = e2)
% 23.14/6.12 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (689), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (282) all_0_17_17 = e2
% 23.14/6.12 |
% 23.14/6.12 | Equations (282) can reduce 344 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (344) ~ (all_0_17_17 = e2)
% 23.14/6.12 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (694), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (216) all_0_18_18 = e2
% 23.14/6.12 |
% 23.14/6.12 | Combining equations (302,216) yields a new equation:
% 23.14/6.12 | (500) e2 = e0
% 23.14/6.12 |
% 23.14/6.12 | Equations (500) can reduce 29 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (195) ~ (all_0_18_18 = e2)
% 23.14/6.12 | (342) all_0_19_19 = e2
% 23.14/6.12 |
% 23.14/6.12 | Combining equations (458,342) yields a new equation:
% 23.14/6.12 | (742) e2 = e1
% 23.14/6.12 |
% 23.14/6.12 | Equations (742) can reduce 75 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (221) ~ (all_0_10_10 = e1)
% 23.14/6.12 | (395) all_0_10_10 = e0
% 23.14/6.12 |
% 23.14/6.12 | Equations (395) can reduce 426 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (514) ~ (all_0_21_21 = e2)
% 23.14/6.12 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (2022), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (554) all_0_21_21 = e1
% 23.14/6.12 |
% 23.14/6.12 | Equations (554) can reduce 969 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (969) ~ (all_0_21_21 = e1)
% 23.14/6.12 | (1185) all_0_21_21 = e0
% 23.14/6.12 |
% 23.14/6.12 | Equations (1185) can reduce 187 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (319) ~ (all_0_22_22 = e3)
% 23.14/6.12 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (2882), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (520) all_0_22_22 = e2
% 23.14/6.12 |
% 23.14/6.12 | Equations (520) can reduce 531 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (531) ~ (all_0_22_22 = e2)
% 23.14/6.12 | (4223) all_0_22_22 = e1 | all_0_22_22 = e0
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (4223), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (864) all_0_22_22 = e1
% 23.14/6.12 |
% 23.14/6.12 | Equations (864) can reduce 975 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (975) ~ (all_0_22_22 = e1)
% 23.14/6.12 | (583) all_0_22_22 = e0
% 23.14/6.12 |
% 23.14/6.12 | Equations (583) can reduce 188 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (621) all_0_8_8 = e1
% 23.14/6.12 | (695) all_0_10_10 = e3
% 23.14/6.12 |
% 23.14/6.12 | Equations (621,695) can reduce 24 to:
% 23.14/6.12 | (313) ~ (e3 = e1)
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 313 yields:
% 23.14/6.12 | (163) ~ (e3 = e1)
% 23.14/6.12 |
% 23.14/6.12 | Equations (621) can reduce 158 to:
% 23.14/6.12 | (4303) ~ (all_0_12_12 = e1)
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 4303 yields:
% 23.14/6.12 | (307) ~ (all_0_12_12 = e1)
% 23.14/6.12 |
% 23.14/6.12 | Equations (695) can reduce 72 to:
% 23.14/6.12 | (318) ~ (all_0_22_22 = e3)
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 318 yields:
% 23.14/6.12 | (319) ~ (all_0_22_22 = e3)
% 23.14/6.12 |
% 23.14/6.12 | Equations (695) can reduce 985 to:
% 23.14/6.12 | (111) ~ (e3 = e2)
% 23.14/6.12 |
% 23.14/6.12 | Equations (695) can reduce 426 to:
% 23.14/6.12 | (3) ~ (e3 = e0)
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (143), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (560) all_0_22_22 = e3
% 23.14/6.12 |
% 23.14/6.12 | Equations (560) can reduce 319 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (319) ~ (all_0_22_22 = e3)
% 23.14/6.12 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (2882), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (520) all_0_22_22 = e2
% 23.14/6.12 |
% 23.14/6.12 | Equations (520) can reduce 531 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (531) ~ (all_0_22_22 = e2)
% 23.14/6.12 | (4223) all_0_22_22 = e1 | all_0_22_22 = e0
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (37), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (200) all_0_8_8 = e3
% 23.14/6.12 |
% 23.14/6.12 | Combining equations (621,200) yields a new equation:
% 23.14/6.12 | (556) e3 = e1
% 23.14/6.12 |
% 23.14/6.12 | Equations (556) can reduce 163 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.12 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (4223), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (864) all_0_22_22 = e1
% 23.14/6.12 |
% 23.14/6.12 | Equations (864) can reduce 319 to:
% 23.14/6.12 | (313) ~ (e3 = e1)
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 313 yields:
% 23.14/6.12 | (163) ~ (e3 = e1)
% 23.14/6.12 |
% 23.14/6.12 | Equations (864) can reduce 531 to:
% 23.14/6.12 | (924) ~ (e2 = e1)
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 924 yields:
% 23.14/6.12 | (75) ~ (e2 = e1)
% 23.14/6.12 |
% 23.14/6.12 | Equations (864) can reduce 188 to:
% 23.14/6.12 | (157) ~ (e1 = e0)
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (4875), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (382) all_0_13_13 = e2
% 23.14/6.12 |
% 23.14/6.12 | Combining equations (444,382) yields a new equation:
% 23.14/6.12 | (742) e2 = e1
% 23.14/6.12 |
% 23.14/6.12 | Equations (742) can reduce 75 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.12 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 23.14/6.12 |
% 23.14/6.12 | Equations (444) can reduce 253 to:
% 23.14/6.12 | (924) ~ (e2 = e1)
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 924 yields:
% 23.14/6.12 | (75) ~ (e2 = e1)
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (4885), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (220) all_0_18_18 = e1
% 23.14/6.12 |
% 23.14/6.12 | Combining equations (220,302) yields a new equation:
% 23.14/6.12 | (542) e1 = e0
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 542 yields:
% 23.14/6.12 | (543) e1 = e0
% 23.14/6.12 |
% 23.14/6.12 | Equations (543) can reduce 157 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.12 | (182) all_0_23_23 = e0
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (65), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (399) all_0_11_11 = e3
% 23.14/6.12 |
% 23.14/6.12 | Combining equations (414,399) yields a new equation:
% 23.14/6.12 | (352) e3 = e2
% 23.14/6.12 |
% 23.14/6.12 | Equations (352) can reduce 111 to:
% 23.14/6.12 | (172) $false
% 23.14/6.12 |
% 23.14/6.12 |-The branch is then unsatisfiable
% 23.14/6.12 |-Branch two:
% 23.14/6.12 | (204) ~ (all_0_11_11 = e3)
% 23.14/6.12 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (139), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (726) all_0_15_15 = e3
% 23.14/6.12 |
% 23.14/6.12 | Equations (726) can reduce 30 to:
% 23.14/6.12 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.12 |
% 23.14/6.12 | Equations (726) can reduce 536 to:
% 23.14/6.12 | (163) ~ (e3 = e1)
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (164), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (392) all_0_12_12 = e0
% 23.14/6.12 |
% 23.14/6.12 | Equations (392) can reduce 206 to:
% 23.14/6.12 | (189) ~ (e3 = e0)
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 189 yields:
% 23.14/6.12 | (3) ~ (e3 = e0)
% 23.14/6.12 |
% 23.14/6.12 | Equations (392) can reduce 336 to:
% 23.14/6.12 | (191) ~ (e2 = e0)
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 191 yields:
% 23.14/6.12 | (29) ~ (e2 = e0)
% 23.14/6.12 |
% 23.14/6.12 | Equations (392) can reduce 307 to:
% 23.14/6.12 | (193) ~ (e1 = e0)
% 23.14/6.12 |
% 23.14/6.12 | Simplifying 193 yields:
% 23.14/6.12 | (157) ~ (e1 = e0)
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (99), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (223), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (224), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (225), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.14/6.12 |
% 23.14/6.12 +-Applying beta-rule and splitting (226), into two cases.
% 23.14/6.12 |-Branch one:
% 23.14/6.12 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (227), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (228), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (229), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (230), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (231) yields:
% 23.14/6.13 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.13 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.14/6.13 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.14/6.13 | (235) all_0_9_9 = e2
% 23.14/6.13 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Combining equations (235,424) yields a new equation:
% 23.14/6.13 | (499) e2 = e0
% 23.14/6.13 |
% 23.14/6.13 | Simplifying 499 yields:
% 23.14/6.13 | (500) e2 = e0
% 23.14/6.13 |
% 23.14/6.13 | Equations (500) can reduce 29 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (238) yields:
% 23.14/6.13 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.13 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.14/6.13 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.14/6.13 | (242) all_0_10_10 = e1
% 23.14/6.13 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Combining equations (242,695) yields a new equation:
% 23.14/6.13 | (556) e3 = e1
% 23.14/6.13 |
% 23.14/6.13 | Equations (556) can reduce 163 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (245) yields:
% 23.14/6.13 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.13 | (247) all_0_11_11 = e0
% 23.14/6.13 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.14/6.13 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.14/6.13 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Combining equations (247,414) yields a new equation:
% 23.14/6.13 | (500) e2 = e0
% 23.14/6.13 |
% 23.14/6.13 | Equations (500) can reduce 29 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (252) yields:
% 23.14/6.13 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.13 | (254) all_0_12_12 = e3
% 23.14/6.13 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.14/6.13 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.14/6.13 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.14/6.13 |
% 23.14/6.13 | Combining equations (392,254) yields a new equation:
% 23.14/6.13 | (323) e3 = e0
% 23.14/6.13 |
% 23.14/6.13 | Equations (323) can reduce 3 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (259) yields:
% 23.14/6.13 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.13 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.14/6.13 | (262) all_0_14_14 = e1
% 23.14/6.13 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.14/6.13 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.14/6.13 |
% 23.14/6.13 | Combining equations (262,522) yields a new equation:
% 23.14/6.13 | (742) e2 = e1
% 23.14/6.13 |
% 23.14/6.13 | Equations (742) can reduce 75 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (266) yields:
% 23.14/6.13 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.13 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.14/6.13 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.14/6.13 | (270) all_0_15_15 = e0
% 23.14/6.13 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.14/6.13 |
% 23.14/6.13 | Combining equations (726,270) yields a new equation:
% 23.14/6.13 | (564) e3 = e0
% 23.14/6.13 |
% 23.14/6.13 | Simplifying 564 yields:
% 23.14/6.13 | (323) e3 = e0
% 23.14/6.13 |
% 23.14/6.13 | Equations (323) can reduce 3 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (273) yields:
% 23.14/6.13 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.14/6.13 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.13 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.14/6.13 | (277) all_0_16_16 = e3
% 23.14/6.13 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (274), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (167) ~ (all_0_13_13 = e1)
% 23.14/6.13 |
% 23.14/6.13 | Equations (444) can reduce 167 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (444) all_0_13_13 = e1
% 23.14/6.13 | (521) ~ (all_0_14_14 = e2)
% 23.14/6.13 |
% 23.14/6.13 | Equations (522) can reduce 521 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (280) yields:
% 23.14/6.13 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.14/6.13 | (282) all_0_17_17 = e2
% 23.14/6.13 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.13 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.14/6.13 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (274), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (167) ~ (all_0_13_13 = e1)
% 23.14/6.13 |
% 23.14/6.13 | Equations (444) can reduce 167 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (444) all_0_13_13 = e1
% 23.14/6.13 | (521) ~ (all_0_14_14 = e2)
% 23.14/6.13 |
% 23.14/6.13 | Equations (522) can reduce 521 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (287) yields:
% 23.14/6.13 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.14/6.13 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.13 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.14/6.13 | (291) all_0_19_19 = e0
% 23.14/6.13 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Combining equations (458,291) yields a new equation:
% 23.14/6.13 | (542) e1 = e0
% 23.14/6.13 |
% 23.14/6.13 | Simplifying 542 yields:
% 23.14/6.13 | (543) e1 = e0
% 23.14/6.13 |
% 23.14/6.13 | Equations (543) can reduce 157 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 23.14/6.13 |
% 23.14/6.13 | Applying alpha-rule on (294) yields:
% 23.14/6.13 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 23.14/6.13 | (296) ~ (all_0_23_23 = e0)
% 23.14/6.13 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 23.14/6.13 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 23.14/6.13 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Equations (182) can reduce 296 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (606) ~ (all_0_12_12 = e0)
% 23.14/6.13 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (78), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (254) all_0_12_12 = e3
% 23.14/6.13 |
% 23.14/6.13 | Equations (254) can reduce 206 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.13 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (381), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (385) all_0_12_12 = e2
% 23.14/6.13 |
% 23.14/6.13 | Equations (385) can reduce 336 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (336) ~ (all_0_12_12 = e2)
% 23.14/6.13 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (388), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (389) all_0_12_12 = e1
% 23.14/6.13 |
% 23.14/6.13 | Equations (389) can reduce 307 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (307) ~ (all_0_12_12 = e1)
% 23.14/6.13 | (392) all_0_12_12 = e0
% 23.14/6.13 |
% 23.14/6.13 | Equations (392) can reduce 606 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (642) ~ (all_0_15_15 = e3)
% 23.14/6.13 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (1358), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (726) all_0_15_15 = e3
% 23.14/6.13 |
% 23.14/6.13 | Equations (726) can reduce 642 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (642) ~ (all_0_15_15 = e3)
% 23.14/6.13 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (8093), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (331) all_0_19_19 = e3
% 23.14/6.13 |
% 23.14/6.13 | Combining equations (458,331) yields a new equation:
% 23.14/6.13 | (556) e3 = e1
% 23.14/6.13 |
% 23.14/6.13 | Equations (556) can reduce 163 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (317) ~ (all_0_19_19 = e3)
% 23.14/6.13 | (171) all_0_23_23 = e3
% 23.14/6.13 |
% 23.14/6.13 | Combining equations (171,182) yields a new equation:
% 23.14/6.13 | (564) e3 = e0
% 23.14/6.13 |
% 23.14/6.13 | Simplifying 564 yields:
% 23.14/6.13 | (323) e3 = e0
% 23.14/6.13 |
% 23.14/6.13 | Equations (323) can reduce 3 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (975) ~ (all_0_22_22 = e1)
% 23.14/6.13 | (583) all_0_22_22 = e0
% 23.14/6.13 |
% 23.14/6.13 | Equations (583) can reduce 188 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (372) ~ (all_0_9_9 = e0)
% 23.14/6.13 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (69), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (338) all_0_9_9 = e3
% 23.14/6.13 |
% 23.14/6.13 | Equations (338) can reduce 116 to:
% 23.14/6.13 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Equations (338) can reduce 166 to:
% 23.14/6.13 | (1214) ~ (all_0_10_10 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Simplifying 1214 yields:
% 23.14/6.13 | (306) ~ (all_0_10_10 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Equations (338) can reduce 136 to:
% 23.14/6.13 | (2518) ~ (all_0_17_17 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Simplifying 2518 yields:
% 23.14/6.13 | (315) ~ (all_0_17_17 = e3)
% 23.14/6.13 |
% 23.14/6.13 | Equations (338) can reduce 383 to:
% 23.14/6.13 | (111) ~ (e3 = e2)
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (20), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (196) ~ (all_0_8_8 = e1)
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (146), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (621) all_0_8_8 = e1
% 23.14/6.13 |
% 23.14/6.13 | Equations (621) can reduce 196 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (196) ~ (all_0_8_8 = e1)
% 23.14/6.13 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (133), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (360) all_0_17_17 = e3
% 23.14/6.13 |
% 23.14/6.13 | Equations (360) can reduce 315 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (315) ~ (all_0_17_17 = e3)
% 23.14/6.13 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (363), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (282) all_0_17_17 = e2
% 23.14/6.13 |
% 23.14/6.13 | Equations (282) can reduce 76 to:
% 23.14/6.13 | (2013) ~ (all_0_21_21 = e2)
% 23.14/6.13 |
% 23.14/6.13 | Simplifying 2013 yields:
% 23.14/6.13 | (514) ~ (all_0_21_21 = e2)
% 23.14/6.13 |
% 23.14/6.13 | Equations (282) can reduce 310 to:
% 23.14/6.13 | (75) ~ (e2 = e1)
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (778), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (389) all_0_12_12 = e1
% 23.14/6.13 |
% 23.14/6.13 | Equations (389) can reduce 307 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (307) ~ (all_0_12_12 = e1)
% 23.14/6.13 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (17), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (335) all_0_20_20 = e2
% 23.14/6.13 |
% 23.14/6.13 +-Applying beta-rule and splitting (2268), into two cases.
% 23.14/6.13 |-Branch one:
% 23.14/6.13 | (305) all_0_16_16 = e1
% 23.14/6.13 |
% 23.14/6.13 | Equations (305) can reduce 770 to:
% 23.14/6.13 | (172) $false
% 23.14/6.13 |
% 23.14/6.13 |-The branch is then unsatisfiable
% 23.14/6.13 |-Branch two:
% 23.14/6.13 | (770) ~ (all_0_16_16 = e1)
% 23.14/6.13 | (952) all_0_20_20 = e1
% 23.14/6.13 |
% 23.14/6.14 | Combining equations (335,952) yields a new equation:
% 23.14/6.14 | (966) e2 = e1
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 966 yields:
% 23.14/6.14 | (742) e2 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (742) can reduce 75 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (466) ~ (all_0_20_20 = e2)
% 23.14/6.14 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (509), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (510) all_0_21_21 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (510) can reduce 514 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (514) ~ (all_0_21_21 = e2)
% 23.14/6.14 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (515), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (520) all_0_22_22 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (520) can reduce 531 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (531) ~ (all_0_22_22 = e2)
% 23.14/6.14 | (175) all_0_23_23 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (175) can reduce 169 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (344) ~ (all_0_17_17 = e2)
% 23.14/6.14 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (61), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (235) all_0_9_9 = e2
% 23.14/6.14 |
% 23.14/6.14 | Combining equations (235,338) yields a new equation:
% 23.14/6.14 | (352) e3 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (352) can reduce 111 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (383) ~ (all_0_9_9 = e2)
% 23.14/6.14 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (930), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (382) all_0_13_13 = e2
% 23.14/6.14 |
% 23.14/6.14 | Combining equations (444,382) yields a new equation:
% 23.14/6.14 | (742) e2 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (742) can reduce 75 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.14 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (939), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (282) all_0_17_17 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (282) can reduce 344 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (344) ~ (all_0_17_17 = e2)
% 23.14/6.14 | (510) all_0_21_21 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (510) can reduce 31 to:
% 23.14/6.14 | (12173) ~ (all_0_23_23 = e2)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 12173 yields:
% 23.14/6.14 | (169) ~ (all_0_23_23 = e2)
% 23.14/6.14 |
% 23.14/6.14 | Equations (510) can reduce 969 to:
% 23.14/6.14 | (75) ~ (e2 = e1)
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (37), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (200) all_0_8_8 = e3
% 23.14/6.14 |
% 23.14/6.14 | Equations (200) can reduce 232 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.14 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (4875), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (382) all_0_13_13 = e2
% 23.14/6.14 |
% 23.14/6.14 | Combining equations (444,382) yields a new equation:
% 23.14/6.14 | (742) e2 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (742) can reduce 75 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.14 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (4885), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (220) all_0_18_18 = e1
% 23.14/6.14 |
% 23.14/6.14 | Combining equations (302,220) yields a new equation:
% 23.14/6.14 | (543) e1 = e0
% 23.14/6.14 |
% 23.14/6.14 | Equations (543) can reduce 157 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.14 | (182) all_0_23_23 = e0
% 23.14/6.14 |
% 23.14/6.14 | Equations (182) can reduce 169 to:
% 23.14/6.14 | (191) ~ (e2 = e0)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 191 yields:
% 23.14/6.14 | (29) ~ (e2 = e0)
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (436), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (395) all_0_10_10 = e0
% 23.14/6.14 |
% 23.14/6.14 | Equations (395) can reduce 426 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (426) ~ (all_0_10_10 = e0)
% 23.14/6.14 | (247) all_0_11_11 = e0
% 23.14/6.14 |
% 23.14/6.14 | Combining equations (247,414) yields a new equation:
% 23.14/6.14 | (500) e2 = e0
% 23.14/6.14 |
% 23.14/6.14 | Equations (500) can reduce 29 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (621) all_0_8_8 = e1
% 23.14/6.14 | (695) all_0_10_10 = e3
% 23.14/6.14 |
% 23.14/6.14 | Equations (695) can reduce 306 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (202) ~ (all_0_9_9 = e3)
% 23.14/6.14 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (406), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (235) all_0_9_9 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (235) can reduce 383 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (383) ~ (all_0_9_9 = e2)
% 23.14/6.14 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (34), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (424) all_0_9_9 = e0
% 23.14/6.14 |
% 23.14/6.14 | Equations (424) can reduce 372 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (372) ~ (all_0_9_9 = e0)
% 23.14/6.14 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (410), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (411) all_0_9_9 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (411) can reduce 423 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (423) ~ (all_0_9_9 = e1)
% 23.14/6.14 | (424) all_0_9_9 = e0
% 23.14/6.14 |
% 23.14/6.14 | Equations (424) can reduce 372 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (322) all_0_8_8 = e0
% 23.14/6.14 | (399) all_0_11_11 = e3
% 23.14/6.14 |
% 23.14/6.14 | Combining equations (399,414) yields a new equation:
% 23.14/6.14 | (511) e3 = e2
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 511 yields:
% 23.14/6.14 | (352) e3 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (352) can reduce 111 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (343) ~ (all_0_11_11 = e2)
% 23.14/6.14 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (1762), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (752) all_0_15_15 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (752) can reduce 725 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (725) ~ (all_0_15_15 = e2)
% 23.14/6.14 | (3443) all_0_19_19 = e2 | all_0_23_23 = e2
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (3443), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (342) all_0_19_19 = e2
% 23.14/6.14 |
% 23.14/6.14 | Combining equations (342,458) yields a new equation:
% 23.14/6.14 | (966) e2 = e1
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 966 yields:
% 23.14/6.14 | (742) e2 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (742) can reduce 75 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (456) ~ (all_0_19_19 = e2)
% 23.14/6.14 | (175) all_0_23_23 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (175) can reduce 169 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (212) all_0_18_18 = e3
% 23.14/6.14 | (305) all_0_16_16 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (212) can reduce 51 to:
% 23.14/6.14 | (306) ~ (all_0_10_10 = e3)
% 23.14/6.14 |
% 23.14/6.14 | Equations (305) can reduce 45 to:
% 23.14/6.14 | (307) ~ (all_0_12_12 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Equations (305) can reduce 144 to:
% 23.14/6.14 | (309) ~ (all_0_17_17 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 309 yields:
% 23.14/6.14 | (310) ~ (all_0_17_17 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Equations (305) can reduce 138 to:
% 23.14/6.14 | (311) ~ (all_0_19_19 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 311 yields:
% 23.14/6.14 | (312) ~ (all_0_19_19 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Equations (305) can reduce 101 to:
% 23.14/6.14 | (2141) ~ (all_0_20_20 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 2141 yields:
% 23.14/6.14 | (963) ~ (all_0_20_20 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Equations (212) can reduce 80 to:
% 23.14/6.14 | (315) ~ (all_0_17_17 = e3)
% 23.14/6.14 |
% 23.14/6.14 | Equations (212) can reduce 43 to:
% 23.14/6.14 | (316) ~ (all_0_19_19 = e3)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 316 yields:
% 23.14/6.14 | (317) ~ (all_0_19_19 = e3)
% 23.14/6.14 |
% 23.14/6.14 | Equations (212) can reduce 119 to:
% 23.14/6.14 | (318) ~ (all_0_22_22 = e3)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 318 yields:
% 23.14/6.14 | (319) ~ (all_0_22_22 = e3)
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (128), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (952) all_0_20_20 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (952) can reduce 963 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (963) ~ (all_0_20_20 = e1)
% 23.14/6.14 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (66), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (492) all_0_8_8 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (492) can reduce 198 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (198) ~ (all_0_8_8 = e2)
% 23.14/6.14 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (964), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (554) all_0_21_21 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (554) can reduce 969 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (969) ~ (all_0_21_21 = e1)
% 23.14/6.14 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (970), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (864) all_0_22_22 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (864) can reduce 72 to:
% 23.14/6.14 | (221) ~ (all_0_10_10 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Equations (864) can reduce 14 to:
% 23.14/6.14 | (963) ~ (all_0_20_20 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Equations (864) can reduce 150 to:
% 23.14/6.14 | (969) ~ (all_0_21_21 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Equations (864) can reduce 39 to:
% 23.14/6.14 | (12160) ~ (all_0_23_23 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 12160 yields:
% 23.14/6.14 | (168) ~ (all_0_23_23 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Equations (864) can reduce 319 to:
% 23.14/6.14 | (313) ~ (e3 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 313 yields:
% 23.14/6.14 | (163) ~ (e3 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Equations (864) can reduce 531 to:
% 23.14/6.14 | (924) ~ (e2 = e1)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 924 yields:
% 23.14/6.14 | (75) ~ (e2 = e1)
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (50), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (695) all_0_10_10 = e3
% 23.14/6.14 |
% 23.14/6.14 | Equations (695) can reduce 306 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (306) ~ (all_0_10_10 = e3)
% 23.14/6.14 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (2231), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (385) all_0_12_12 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (385) can reduce 336 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (336) ~ (all_0_12_12 = e2)
% 23.14/6.14 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 23.14/6.14 |
% 23.14/6.14 +-Applying beta-rule and splitting (2235), into two cases.
% 23.14/6.14 |-Branch one:
% 23.14/6.14 | (685) all_0_16_16 = e2
% 23.14/6.14 |
% 23.14/6.14 | Combining equations (305,685) yields a new equation:
% 23.14/6.14 | (742) e2 = e1
% 23.14/6.14 |
% 23.14/6.14 | Equations (742) can reduce 75 to:
% 23.14/6.14 | (172) $false
% 23.14/6.14 |
% 23.14/6.14 |-The branch is then unsatisfiable
% 23.14/6.14 |-Branch two:
% 23.14/6.14 | (688) ~ (all_0_16_16 = e2)
% 23.14/6.14 | (335) all_0_20_20 = e2
% 23.14/6.14 |
% 23.14/6.14 | Equations (335) can reduce 42 to:
% 23.14/6.14 | (336) ~ (all_0_12_12 = e2)
% 23.14/6.14 |
% 23.14/6.14 | Equations (335) can reduce 7 to:
% 23.14/6.14 | (2013) ~ (all_0_21_21 = e2)
% 23.14/6.14 |
% 23.14/6.14 | Simplifying 2013 yields:
% 23.14/6.14 | (514) ~ (all_0_21_21 = e2)
% 23.14/6.14 |
% 23.14/6.14 | Equations (335) can reduce 156 to:
% 23.14/6.14 | (12173) ~ (all_0_23_23 = e2)
% 23.14/6.14 |
% 23.14/6.15 | Simplifying 12173 yields:
% 23.14/6.15 | (169) ~ (all_0_23_23 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Equations (335) can reduce 963 to:
% 23.14/6.15 | (75) ~ (e2 = e1)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (79), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (170) ~ (all_0_23_23 = e3)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (145), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (395) all_0_10_10 = e0
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (142), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (418) all_0_11_11 = e1
% 23.14/6.15 |
% 23.14/6.15 | Equations (418) can reduce 124 to:
% 23.14/6.15 | (196) ~ (all_0_8_8 = e1)
% 23.14/6.15 |
% 23.14/6.15 | Equations (418) can reduce 54 to:
% 23.14/6.15 | (423) ~ (all_0_9_9 = e1)
% 23.14/6.15 |
% 23.14/6.15 | Equations (418) can reduce 129 to:
% 23.14/6.15 | (4601) ~ (all_0_15_15 = e1)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 4601 yields:
% 23.14/6.15 | (536) ~ (all_0_15_15 = e1)
% 23.14/6.15 |
% 23.14/6.15 | Equations (418) can reduce 132 to:
% 23.14/6.15 | (311) ~ (all_0_19_19 = e1)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 311 yields:
% 23.14/6.15 | (312) ~ (all_0_19_19 = e1)
% 23.14/6.15 |
% 23.14/6.15 | Equations (418) can reduce 131 to:
% 23.14/6.15 | (12160) ~ (all_0_23_23 = e1)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 12160 yields:
% 23.14/6.15 | (168) ~ (all_0_23_23 = e1)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (9), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (414) all_0_11_11 = e2
% 23.14/6.15 |
% 23.14/6.15 | Combining equations (418,414) yields a new equation:
% 23.14/6.15 | (742) e2 = e1
% 23.14/6.15 |
% 23.14/6.15 | Equations (742) can reduce 75 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (343) ~ (all_0_11_11 = e2)
% 23.14/6.15 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (65), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (399) all_0_11_11 = e3
% 23.14/6.15 |
% 23.14/6.15 | Combining equations (418,399) yields a new equation:
% 23.14/6.15 | (556) e3 = e1
% 23.14/6.15 |
% 23.14/6.15 | Equations (556) can reduce 163 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (204) ~ (all_0_11_11 = e3)
% 23.14/6.15 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (1762), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (752) all_0_15_15 = e2
% 23.14/6.15 |
% 23.14/6.15 | Equations (752) can reduce 725 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (725) ~ (all_0_15_15 = e2)
% 23.14/6.15 | (3443) all_0_19_19 = e2 | all_0_23_23 = e2
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (3443), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (342) all_0_19_19 = e2
% 23.14/6.15 |
% 23.14/6.15 | Equations (342) can reduce 89 to:
% 23.14/6.15 | (725) ~ (all_0_15_15 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Equations (342) can reduce 10 to:
% 23.14/6.15 | (344) ~ (all_0_17_17 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Equations (342) can reduce 122 to:
% 23.14/6.15 | (12173) ~ (all_0_23_23 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 12173 yields:
% 23.14/6.15 | (169) ~ (all_0_23_23 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Equations (342) can reduce 317 to:
% 23.14/6.15 | (345) ~ (e3 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 345 yields:
% 23.14/6.15 | (111) ~ (e3 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Equations (342) can reduce 312 to:
% 23.14/6.15 | (75) ~ (e2 = e1)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (1358), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (726) all_0_15_15 = e3
% 23.14/6.15 |
% 23.14/6.15 | Equations (726) can reduce 30 to:
% 23.14/6.15 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.15 |
% 23.14/6.15 | Equations (726) can reduce 105 to:
% 23.14/6.15 | (12533) ~ (all_0_23_23 = e3)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 12533 yields:
% 23.14/6.15 | (170) ~ (all_0_23_23 = e3)
% 23.14/6.15 |
% 23.14/6.15 | Equations (726) can reduce 725 to:
% 23.14/6.15 | (111) ~ (e3 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Equations (726) can reduce 536 to:
% 23.14/6.15 | (163) ~ (e3 = e1)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (149), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (200) all_0_8_8 = e3
% 23.14/6.15 |
% 23.14/6.15 | Equations (200) can reduce 116 to:
% 23.14/6.15 | (201) ~ (all_0_9_9 = e3)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 201 yields:
% 23.14/6.15 | (202) ~ (all_0_9_9 = e3)
% 23.14/6.15 |
% 23.14/6.15 | Equations (200) can reduce 158 to:
% 23.14/6.15 | (205) ~ (all_0_12_12 = e3)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 205 yields:
% 23.14/6.15 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.15 |
% 23.14/6.15 | Equations (200) can reduce 196 to:
% 23.14/6.15 | (163) ~ (e3 = e1)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (61), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (235) all_0_9_9 = e2
% 23.14/6.15 |
% 23.14/6.15 | Equations (235) can reduce 136 to:
% 23.14/6.15 | (2237) ~ (all_0_17_17 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 2237 yields:
% 23.14/6.15 | (344) ~ (all_0_17_17 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Equations (235) can reduce 202 to:
% 23.14/6.15 | (345) ~ (e3 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 345 yields:
% 23.14/6.15 | (111) ~ (e3 = e2)
% 23.14/6.15 |
% 23.14/6.15 | Equations (235) can reduce 423 to:
% 23.14/6.15 | (75) ~ (e2 = e1)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (78), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (254) all_0_12_12 = e3
% 23.14/6.15 |
% 23.14/6.15 | Equations (254) can reduce 206 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.15 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (381), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (385) all_0_12_12 = e2
% 23.14/6.15 |
% 23.14/6.15 | Equations (385) can reduce 336 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (336) ~ (all_0_12_12 = e2)
% 23.14/6.15 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (388), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (389) all_0_12_12 = e1
% 23.14/6.15 |
% 23.14/6.15 | Equations (389) can reduce 307 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (307) ~ (all_0_12_12 = e1)
% 23.14/6.15 | (392) all_0_12_12 = e0
% 23.14/6.15 |
% 23.14/6.15 | Equations (392) can reduce 206 to:
% 23.14/6.15 | (189) ~ (e3 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 189 yields:
% 23.14/6.15 | (3) ~ (e3 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Equations (392) can reduce 336 to:
% 23.14/6.15 | (191) ~ (e2 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 191 yields:
% 23.14/6.15 | (29) ~ (e2 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Equations (392) can reduce 307 to:
% 23.14/6.15 | (193) ~ (e1 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 193 yields:
% 23.14/6.15 | (157) ~ (e1 = e0)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (151), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (338) all_0_9_9 = e3
% 23.14/6.15 |
% 23.14/6.15 | Combining equations (338,235) yields a new equation:
% 23.14/6.15 | (511) e3 = e2
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 511 yields:
% 23.14/6.15 | (352) e3 = e2
% 23.14/6.15 |
% 23.14/6.15 | Equations (352) can reduce 111 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (202) ~ (all_0_9_9 = e3)
% 23.14/6.15 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (117), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (608) all_0_16_16 = e0
% 23.14/6.15 |
% 23.14/6.15 | Combining equations (305,608) yields a new equation:
% 23.14/6.15 | (542) e1 = e0
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 542 yields:
% 23.14/6.15 | (543) e1 = e0
% 23.14/6.15 |
% 23.14/6.15 | Equations (543) can reduce 157 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (612) ~ (all_0_16_16 = e0)
% 23.14/6.15 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 23.14/6.15 |
% 23.14/6.15 | Equations (305) can reduce 612 to:
% 23.14/6.15 | (157) ~ (e1 = e0)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (341), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (347) all_0_13_13 = e3
% 23.14/6.15 |
% 23.14/6.15 | Combining equations (444,347) yields a new equation:
% 23.14/6.15 | (556) e3 = e1
% 23.14/6.15 |
% 23.14/6.15 | Equations (556) can reduce 163 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (337) ~ (all_0_13_13 = e3)
% 23.14/6.15 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (653), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (371) all_0_17_17 = e0
% 23.14/6.15 |
% 23.14/6.15 | Equations (371) can reduce 76 to:
% 23.14/6.15 | (1547) ~ (all_0_21_21 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 1547 yields:
% 23.14/6.15 | (187) ~ (all_0_21_21 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Equations (371) can reduce 315 to:
% 23.14/6.15 | (189) ~ (e3 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 189 yields:
% 23.14/6.15 | (3) ~ (e3 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Equations (371) can reduce 344 to:
% 23.14/6.15 | (191) ~ (e2 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 191 yields:
% 23.14/6.15 | (29) ~ (e2 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Equations (371) can reduce 310 to:
% 23.14/6.15 | (193) ~ (e1 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 193 yields:
% 23.14/6.15 | (157) ~ (e1 = e0)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (350), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (360) all_0_17_17 = e3
% 23.14/6.15 |
% 23.14/6.15 | Combining equations (371,360) yields a new equation:
% 23.14/6.15 | (323) e3 = e0
% 23.14/6.15 |
% 23.14/6.15 | Equations (323) can reduce 3 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (315) ~ (all_0_17_17 = e3)
% 23.14/6.15 | (356) all_0_21_21 = e3
% 23.14/6.15 |
% 23.14/6.15 | Equations (356) can reduce 31 to:
% 23.14/6.15 | (12533) ~ (all_0_23_23 = e3)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 12533 yields:
% 23.14/6.15 | (170) ~ (all_0_23_23 = e3)
% 23.14/6.15 |
% 23.14/6.15 | Equations (356) can reduce 969 to:
% 23.14/6.15 | (163) ~ (e3 = e1)
% 23.14/6.15 |
% 23.14/6.15 | Equations (356) can reduce 187 to:
% 23.14/6.15 | (3) ~ (e3 = e0)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (84), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (613) all_0_20_20 = e0
% 23.14/6.15 |
% 23.14/6.15 | Combining equations (335,613) yields a new equation:
% 23.14/6.15 | (499) e2 = e0
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 499 yields:
% 23.14/6.15 | (500) e2 = e0
% 23.14/6.15 |
% 23.14/6.15 | Equations (500) can reduce 29 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (186) ~ (all_0_20_20 = e0)
% 23.14/6.15 | (12484) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (12484), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (1185) all_0_21_21 = e0
% 23.14/6.15 |
% 23.14/6.15 | Combining equations (356,1185) yields a new equation:
% 23.14/6.15 | (564) e3 = e0
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 564 yields:
% 23.14/6.15 | (323) e3 = e0
% 23.14/6.15 |
% 23.14/6.15 | Equations (323) can reduce 3 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (187) ~ (all_0_21_21 = e0)
% 23.14/6.15 | (12488) all_0_22_22 = e0 | all_0_23_23 = e0
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (12488), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (583) all_0_22_22 = e0
% 23.14/6.15 |
% 23.14/6.15 | Combining equations (583,864) yields a new equation:
% 23.14/6.15 | (543) e1 = e0
% 23.14/6.15 |
% 23.14/6.15 | Equations (543) can reduce 157 to:
% 23.14/6.15 | (172) $false
% 23.14/6.15 |
% 23.14/6.15 |-The branch is then unsatisfiable
% 23.14/6.15 |-Branch two:
% 23.14/6.15 | (188) ~ (all_0_22_22 = e0)
% 23.14/6.15 | (182) all_0_23_23 = e0
% 23.14/6.15 |
% 23.14/6.15 | Equations (182) can reduce 170 to:
% 23.14/6.15 | (189) ~ (e3 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 189 yields:
% 23.14/6.15 | (3) ~ (e3 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Equations (182) can reduce 169 to:
% 23.14/6.15 | (191) ~ (e2 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 191 yields:
% 23.14/6.15 | (29) ~ (e2 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Equations (182) can reduce 168 to:
% 23.14/6.15 | (193) ~ (e1 = e0)
% 23.14/6.15 |
% 23.14/6.15 | Simplifying 193 yields:
% 23.14/6.15 | (157) ~ (e1 = e0)
% 23.14/6.15 |
% 23.14/6.15 +-Applying beta-rule and splitting (99), into two cases.
% 23.14/6.15 |-Branch one:
% 23.14/6.15 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.14/6.16 |
% 23.14/6.16 +-Applying beta-rule and splitting (223), into two cases.
% 23.14/6.16 |-Branch one:
% 23.14/6.16 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.14/6.16 |
% 23.14/6.16 +-Applying beta-rule and splitting (224), into two cases.
% 23.14/6.16 |-Branch one:
% 23.14/6.16 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.14/6.16 |
% 23.14/6.16 +-Applying beta-rule and splitting (225), into two cases.
% 23.14/6.16 |-Branch one:
% 23.14/6.16 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.14/6.16 |
% 23.14/6.16 +-Applying beta-rule and splitting (226), into two cases.
% 23.14/6.16 |-Branch one:
% 23.14/6.16 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.14/6.16 |
% 23.14/6.16 +-Applying beta-rule and splitting (227), into two cases.
% 23.14/6.16 |-Branch one:
% 23.14/6.16 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.14/6.16 |
% 23.14/6.16 +-Applying beta-rule and splitting (228), into two cases.
% 23.14/6.16 |-Branch one:
% 23.14/6.16 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.14/6.16 |
% 23.14/6.16 +-Applying beta-rule and splitting (229), into two cases.
% 23.14/6.16 |-Branch one:
% 23.14/6.16 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.14/6.16 |
% 23.14/6.16 +-Applying beta-rule and splitting (230), into two cases.
% 23.14/6.16 |-Branch one:
% 23.14/6.16 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (231) yields:
% 23.14/6.16 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.16 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.14/6.16 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.14/6.16 | (235) all_0_9_9 = e2
% 23.14/6.16 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.14/6.16 |
% 23.14/6.16 | Equations (200) can reduce 232 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (238) yields:
% 23.14/6.16 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.16 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.14/6.16 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.14/6.16 | (242) all_0_10_10 = e1
% 23.14/6.16 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.14/6.16 |
% 23.14/6.16 | Combining equations (242,395) yields a new equation:
% 23.14/6.16 | (542) e1 = e0
% 23.14/6.16 |
% 23.14/6.16 | Simplifying 542 yields:
% 23.14/6.16 | (543) e1 = e0
% 23.14/6.16 |
% 23.14/6.16 | Equations (543) can reduce 157 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (245) yields:
% 23.14/6.16 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.16 | (247) all_0_11_11 = e0
% 23.14/6.16 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.14/6.16 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.14/6.16 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.14/6.16 |
% 23.14/6.16 | Combining equations (418,247) yields a new equation:
% 23.14/6.16 | (542) e1 = e0
% 23.14/6.16 |
% 23.14/6.16 | Simplifying 542 yields:
% 23.14/6.16 | (543) e1 = e0
% 23.14/6.16 |
% 23.14/6.16 | Equations (543) can reduce 157 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (252) yields:
% 23.14/6.16 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.16 | (254) all_0_12_12 = e3
% 23.14/6.16 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.14/6.16 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.14/6.16 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.14/6.16 |
% 23.14/6.16 | Combining equations (392,254) yields a new equation:
% 23.14/6.16 | (323) e3 = e0
% 23.14/6.16 |
% 23.14/6.16 | Equations (323) can reduce 3 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (259) yields:
% 23.14/6.16 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.16 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.14/6.16 | (262) all_0_14_14 = e1
% 23.14/6.16 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.14/6.16 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.14/6.16 |
% 23.14/6.16 | Combining equations (262,522) yields a new equation:
% 23.14/6.16 | (742) e2 = e1
% 23.14/6.16 |
% 23.14/6.16 | Equations (742) can reduce 75 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (266) yields:
% 23.14/6.16 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.16 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.14/6.16 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.14/6.16 | (270) all_0_15_15 = e0
% 23.14/6.16 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.14/6.16 |
% 23.14/6.16 | Combining equations (726,270) yields a new equation:
% 23.14/6.16 | (564) e3 = e0
% 23.14/6.16 |
% 23.14/6.16 | Simplifying 564 yields:
% 23.14/6.16 | (323) e3 = e0
% 23.14/6.16 |
% 23.14/6.16 | Equations (323) can reduce 3 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (273) yields:
% 23.14/6.16 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.14/6.16 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.16 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.14/6.16 | (277) all_0_16_16 = e3
% 23.14/6.16 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.14/6.16 |
% 23.14/6.16 | Combining equations (305,277) yields a new equation:
% 23.14/6.16 | (556) e3 = e1
% 23.14/6.16 |
% 23.14/6.16 | Equations (556) can reduce 163 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (280) yields:
% 23.14/6.16 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.14/6.16 | (282) all_0_17_17 = e2
% 23.14/6.16 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.16 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.14/6.16 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.14/6.16 |
% 23.14/6.16 | Combining equations (371,282) yields a new equation:
% 23.14/6.16 | (500) e2 = e0
% 23.14/6.16 |
% 23.14/6.16 | Equations (500) can reduce 29 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (287) yields:
% 23.14/6.16 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.14/6.16 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.16 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.14/6.16 | (291) all_0_19_19 = e0
% 23.14/6.16 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.14/6.16 |
% 23.14/6.16 | Combining equations (342,291) yields a new equation:
% 23.14/6.16 | (499) e2 = e0
% 23.14/6.16 |
% 23.14/6.16 | Simplifying 499 yields:
% 23.14/6.16 | (500) e2 = e0
% 23.14/6.16 |
% 23.14/6.16 | Equations (500) can reduce 29 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 23.14/6.16 |
% 23.14/6.16 | Applying alpha-rule on (294) yields:
% 23.14/6.16 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 23.14/6.16 | (296) ~ (all_0_23_23 = e0)
% 23.14/6.16 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 23.14/6.16 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 23.14/6.16 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 23.14/6.16 |
% 23.14/6.16 | Equations (182) can reduce 296 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.16 | (1184) ~ (all_0_17_17 = e0)
% 23.14/6.16 | (1198) all_0_18_18 = e0 | all_0_19_19 = e0
% 23.14/6.16 |
% 23.14/6.16 +-Applying beta-rule and splitting (34), into two cases.
% 23.14/6.16 |-Branch one:
% 23.14/6.16 | (424) all_0_9_9 = e0
% 23.14/6.16 |
% 23.14/6.16 | Combining equations (424,235) yields a new equation:
% 23.14/6.16 | (500) e2 = e0
% 23.14/6.16 |
% 23.14/6.16 | Equations (500) can reduce 29 to:
% 23.14/6.16 | (172) $false
% 23.14/6.16 |
% 23.14/6.16 |-The branch is then unsatisfiable
% 23.14/6.16 |-Branch two:
% 23.14/6.17 | (372) ~ (all_0_9_9 = e0)
% 23.14/6.17 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (235) can reduce 372 to:
% 23.14/6.17 | (29) ~ (e2 = e0)
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (350), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (360) all_0_17_17 = e3
% 23.14/6.17 |
% 23.14/6.17 | Equations (360) can reduce 315 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (315) ~ (all_0_17_17 = e3)
% 23.14/6.17 | (356) all_0_21_21 = e3
% 23.14/6.17 |
% 23.14/6.17 | Equations (356) can reduce 31 to:
% 23.14/6.17 | (12533) ~ (all_0_23_23 = e3)
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 12533 yields:
% 23.14/6.17 | (170) ~ (all_0_23_23 = e3)
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (84), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (613) all_0_20_20 = e0
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (613,335) yields a new equation:
% 23.14/6.17 | (500) e2 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (500) can reduce 29 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (186) ~ (all_0_20_20 = e0)
% 23.14/6.17 | (12484) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (12484), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (1185) all_0_21_21 = e0
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (356,1185) yields a new equation:
% 23.14/6.17 | (564) e3 = e0
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 564 yields:
% 23.14/6.17 | (323) e3 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (323) can reduce 3 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (187) ~ (all_0_21_21 = e0)
% 23.14/6.17 | (12488) all_0_22_22 = e0 | all_0_23_23 = e0
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (12488), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (583) all_0_22_22 = e0
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (583,864) yields a new equation:
% 23.14/6.17 | (543) e1 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (543) can reduce 157 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (188) ~ (all_0_22_22 = e0)
% 23.14/6.17 | (182) all_0_23_23 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (182) can reduce 170 to:
% 23.14/6.17 | (189) ~ (e3 = e0)
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 189 yields:
% 23.14/6.17 | (3) ~ (e3 = e0)
% 23.14/6.17 |
% 23.14/6.17 | Equations (182) can reduce 169 to:
% 23.14/6.17 | (191) ~ (e2 = e0)
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 191 yields:
% 23.14/6.17 | (29) ~ (e2 = e0)
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (1198), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (302) all_0_18_18 = e0
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (302,212) yields a new equation:
% 23.14/6.17 | (323) e3 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (323) can reduce 3 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (197) ~ (all_0_18_18 = e0)
% 23.14/6.17 | (291) all_0_19_19 = e0
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (342,291) yields a new equation:
% 23.14/6.17 | (499) e2 = e0
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 499 yields:
% 23.14/6.17 | (500) e2 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (500) can reduce 29 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (383) ~ (all_0_9_9 = e2)
% 23.14/6.17 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (930), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (382) all_0_13_13 = e2
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (382,444) yields a new equation:
% 23.14/6.17 | (966) e2 = e1
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 966 yields:
% 23.14/6.17 | (742) e2 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (742) can reduce 75 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.17 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (939), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (282) all_0_17_17 = e2
% 23.14/6.17 |
% 23.14/6.17 | Equations (282) can reduce 344 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (344) ~ (all_0_17_17 = e2)
% 23.14/6.17 | (510) all_0_21_21 = e2
% 23.14/6.17 |
% 23.14/6.17 | Equations (510) can reduce 514 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.17 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (78), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (254) all_0_12_12 = e3
% 23.14/6.17 |
% 23.14/6.17 | Equations (254) can reduce 206 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.17 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (37), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (200) all_0_8_8 = e3
% 23.14/6.17 |
% 23.14/6.17 | Equations (200) can reduce 232 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.17 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (381), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (385) all_0_12_12 = e2
% 23.14/6.17 |
% 23.14/6.17 | Equations (385) can reduce 336 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (336) ~ (all_0_12_12 = e2)
% 23.14/6.17 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (388), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (389) all_0_12_12 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (389) can reduce 307 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (307) ~ (all_0_12_12 = e1)
% 23.14/6.17 | (392) all_0_12_12 = e0
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (4875), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (382) all_0_13_13 = e2
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (382,444) yields a new equation:
% 23.14/6.17 | (966) e2 = e1
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 966 yields:
% 23.14/6.17 | (742) e2 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (742) can reduce 75 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.17 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (4885), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (220) all_0_18_18 = e1
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (212,220) yields a new equation:
% 23.14/6.17 | (555) e3 = e1
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 555 yields:
% 23.14/6.17 | (556) e3 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (556) can reduce 163 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.17 | (182) all_0_23_23 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (212) can reduce 275 to:
% 23.14/6.17 | (163) ~ (e3 = e1)
% 23.14/6.17 |
% 23.14/6.17 | Equations (182) can reduce 170 to:
% 23.14/6.17 | (189) ~ (e3 = e0)
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 189 yields:
% 23.14/6.17 | (3) ~ (e3 = e0)
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (1829), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (254) all_0_12_12 = e3
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (254,392) yields a new equation:
% 23.14/6.17 | (564) e3 = e0
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 564 yields:
% 23.14/6.17 | (323) e3 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (323) can reduce 3 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.17 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (2092), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (277) all_0_16_16 = e3
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (305,277) yields a new equation:
% 23.14/6.17 | (556) e3 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (556) can reduce 163 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (208) ~ (all_0_16_16 = e3)
% 23.14/6.17 | (327) all_0_20_20 = e3
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (335,327) yields a new equation:
% 23.14/6.17 | (352) e3 = e2
% 23.14/6.17 |
% 23.14/6.17 | Equations (352) can reduce 111 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (642) ~ (all_0_15_15 = e3)
% 23.14/6.17 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (8093), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (331) all_0_19_19 = e3
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (331,342) yields a new equation:
% 23.14/6.17 | (511) e3 = e2
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 511 yields:
% 23.14/6.17 | (352) e3 = e2
% 23.14/6.17 |
% 23.14/6.17 | Equations (352) can reduce 111 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (317) ~ (all_0_19_19 = e3)
% 23.14/6.17 | (171) all_0_23_23 = e3
% 23.14/6.17 |
% 23.14/6.17 | Equations (171) can reduce 170 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (456) ~ (all_0_19_19 = e2)
% 23.14/6.17 | (175) all_0_23_23 = e2
% 23.14/6.17 |
% 23.14/6.17 | Equations (175) can reduce 169 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (413) ~ (all_0_11_11 = e1)
% 23.14/6.17 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (489), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (490) all_0_15_15 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (490) can reduce 536 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (536) ~ (all_0_15_15 = e1)
% 23.14/6.17 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (537), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (458) all_0_19_19 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (458) can reduce 312 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (312) ~ (all_0_19_19 = e1)
% 23.14/6.17 | (179) all_0_23_23 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (179) can reduce 168 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (426) ~ (all_0_10_10 = e0)
% 23.14/6.17 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (1231), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (730) all_0_10_10 = e2
% 23.14/6.17 |
% 23.14/6.17 | Equations (730) can reduce 985 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (985) ~ (all_0_10_10 = e2)
% 23.14/6.17 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 23.14/6.17 |
% 23.14/6.17 +-Applying beta-rule and splitting (1235), into two cases.
% 23.14/6.17 |-Branch one:
% 23.14/6.17 | (242) all_0_10_10 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (242) can reduce 221 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (221) ~ (all_0_10_10 = e1)
% 23.14/6.17 | (395) all_0_10_10 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (395) can reduce 426 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (171) all_0_23_23 = e3
% 23.14/6.17 | (613) all_0_20_20 = e0
% 23.14/6.17 |
% 23.14/6.17 | Combining equations (335,613) yields a new equation:
% 23.14/6.17 | (499) e2 = e0
% 23.14/6.17 |
% 23.14/6.17 | Simplifying 499 yields:
% 23.14/6.17 | (500) e2 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (500) can reduce 29 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (975) ~ (all_0_22_22 = e1)
% 23.14/6.17 | (179) all_0_23_23 = e1
% 23.14/6.17 |
% 23.14/6.17 | Equations (179) can reduce 168 to:
% 23.14/6.17 | (172) $false
% 23.14/6.17 |
% 23.14/6.17 |-The branch is then unsatisfiable
% 23.14/6.17 |-Branch two:
% 23.14/6.17 | (175) all_0_23_23 = e2
% 23.14/6.17 | (1185) all_0_21_21 = e0
% 23.14/6.17 |
% 23.14/6.17 | Equations (175) can reduce 131 to:
% 23.14/6.17 | (343) ~ (all_0_11_11 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (175) can reduce 105 to:
% 23.14/6.18 | (725) ~ (all_0_15_15 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (1185) can reduce 76 to:
% 23.14/6.18 | (1184) ~ (all_0_17_17 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Equations (1185) can reduce 7 to:
% 23.14/6.18 | (186) ~ (all_0_20_20 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Equations (175) can reduce 156 to:
% 23.14/6.18 | (466) ~ (all_0_20_20 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (1185) can reduce 150 to:
% 23.14/6.18 | (659) ~ (all_0_22_22 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 659 yields:
% 23.14/6.18 | (188) ~ (all_0_22_22 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Equations (175) can reduce 39 to:
% 23.14/6.18 | (531) ~ (all_0_22_22 = e2)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (16), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (492) all_0_8_8 = e2
% 23.14/6.18 |
% 23.14/6.18 | Equations (492) can reduce 198 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (198) ~ (all_0_8_8 = e2)
% 23.14/6.18 | (496) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (496), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (235) all_0_9_9 = e2
% 23.14/6.18 |
% 23.14/6.18 | Equations (235) can reduce 116 to:
% 23.14/6.18 | (198) ~ (all_0_8_8 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (235) can reduce 166 to:
% 23.14/6.18 | (1208) ~ (all_0_10_10 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 1208 yields:
% 23.14/6.18 | (985) ~ (all_0_10_10 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (235) can reduce 54 to:
% 23.14/6.18 | (1210) ~ (all_0_11_11 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 1210 yields:
% 23.14/6.18 | (343) ~ (all_0_11_11 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (235) can reduce 423 to:
% 23.14/6.18 | (75) ~ (e2 = e1)
% 23.14/6.18 |
% 23.14/6.18 | From (235) and (126) follows:
% 23.14/6.18 | (13381) op(e3, e2) = e2
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (113), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (685) all_0_16_16 = e2
% 23.14/6.18 |
% 23.14/6.18 | Equations (685) can reduce 121 to:
% 23.14/6.18 | (198) ~ (all_0_8_8 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (685) can reduce 144 to:
% 23.14/6.18 | (2237) ~ (all_0_17_17 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 2237 yields:
% 23.14/6.18 | (344) ~ (all_0_17_17 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (685) can reduce 28 to:
% 23.14/6.18 | (732) ~ (all_0_18_18 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 732 yields:
% 23.14/6.18 | (195) ~ (all_0_18_18 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (685) can reduce 138 to:
% 23.14/6.18 | (4783) ~ (all_0_19_19 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 4783 yields:
% 23.14/6.18 | (456) ~ (all_0_19_19 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (685) can reduce 101 to:
% 23.14/6.18 | (1813) ~ (all_0_20_20 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 1813 yields:
% 23.14/6.18 | (466) ~ (all_0_20_20 = e2)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (133), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (360) all_0_17_17 = e3
% 23.14/6.18 |
% 23.14/6.18 | Combining equations (360,12134) yields a new equation:
% 23.14/6.18 | (13393) all_0_5_5 = e3
% 23.14/6.18 |
% 23.14/6.18 | Equations (360) can reduce 80 to:
% 23.14/6.18 | (680) ~ (all_0_18_18 = e3)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 680 yields:
% 23.14/6.18 | (211) ~ (all_0_18_18 = e3)
% 23.14/6.18 |
% 23.14/6.18 | Equations (360) can reduce 344 to:
% 23.14/6.18 | (111) ~ (e3 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (360) can reduce 1184 to:
% 23.14/6.18 | (3) ~ (e3 = e0)
% 23.14/6.18 |
% 23.14/6.18 | From (360) and (12135) follows:
% 23.14/6.18 | (13398) op(e3, e2) = all_0_4_4
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (120), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (13399) ~ (all_0_5_5 = e3)
% 23.14/6.18 |
% 23.14/6.18 | Equations (13393) can reduce 13399 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (13393) all_0_5_5 = e3
% 23.14/6.18 | (13402) ~ (all_0_4_4 = e0) | ~ (all_0_13_13 = e1)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (13402), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (167) ~ (all_0_13_13 = e1)
% 23.14/6.18 |
% 23.14/6.18 | Equations (444) can reduce 167 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (444) all_0_13_13 = e1
% 23.14/6.18 | (7189) ~ (all_0_4_4 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Instantiating formula (152) with e3, e2, e2, all_0_4_4 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = e2, yields:
% 23.14/6.18 | (13407) all_0_4_4 = e2
% 23.14/6.18 |
% 23.14/6.18 | Equations (13407) can reduce 7189 to:
% 23.14/6.18 | (29) ~ (e2 = e0)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (94), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (197) ~ (all_0_18_18 = e0)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (33), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (212) all_0_18_18 = e3
% 23.14/6.18 |
% 23.14/6.18 | Equations (212) can reduce 211 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (211) ~ (all_0_18_18 = e3)
% 23.14/6.18 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (145), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (395) all_0_10_10 = e0
% 23.14/6.18 |
% 23.14/6.18 | Equations (395) can reduce 24 to:
% 23.14/6.18 | (199) ~ (all_0_8_8 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Equations (395) can reduce 23 to:
% 23.14/6.18 | (397) ~ (all_0_11_11 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 397 yields:
% 23.14/6.18 | (183) ~ (all_0_11_11 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Equations (395) can reduce 72 to:
% 23.14/6.18 | (659) ~ (all_0_22_22 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 659 yields:
% 23.14/6.18 | (188) ~ (all_0_22_22 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Equations (395) can reduce 985 to:
% 23.14/6.18 | (191) ~ (e2 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 191 yields:
% 23.14/6.18 | (29) ~ (e2 = e0)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (20), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (196) ~ (all_0_8_8 = e1)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (27), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (695) all_0_10_10 = e3
% 23.14/6.18 |
% 23.14/6.18 | Combining equations (395,695) yields a new equation:
% 23.14/6.18 | (323) e3 = e0
% 23.14/6.18 |
% 23.14/6.18 | Equations (323) can reduce 3 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (306) ~ (all_0_10_10 = e3)
% 23.14/6.18 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (698), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (516) all_0_14_14 = e3
% 23.14/6.18 |
% 23.14/6.18 | Combining equations (522,516) yields a new equation:
% 23.14/6.18 | (352) e3 = e2
% 23.14/6.18 |
% 23.14/6.18 | Equations (352) can reduce 111 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (308) ~ (all_0_14_14 = e3)
% 23.14/6.18 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (117), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (608) all_0_16_16 = e0
% 23.14/6.18 |
% 23.14/6.18 | Combining equations (685,608) yields a new equation:
% 23.14/6.18 | (499) e2 = e0
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 499 yields:
% 23.14/6.18 | (500) e2 = e0
% 23.14/6.18 |
% 23.14/6.18 | Equations (500) can reduce 29 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (612) ~ (all_0_16_16 = e0)
% 23.14/6.18 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 23.14/6.18 |
% 23.14/6.18 | Equations (685) can reduce 612 to:
% 23.14/6.18 | (29) ~ (e2 = e0)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (26), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (200) all_0_8_8 = e3
% 23.14/6.18 |
% 23.14/6.18 | Equations (200) can reduce 158 to:
% 23.14/6.18 | (205) ~ (all_0_12_12 = e3)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 205 yields:
% 23.14/6.18 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.18 |
% 23.14/6.18 | Equations (200) can reduce 198 to:
% 23.14/6.18 | (111) ~ (e3 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (200) can reduce 196 to:
% 23.14/6.18 | (163) ~ (e3 = e1)
% 23.14/6.18 |
% 23.14/6.18 | Equations (200) can reduce 199 to:
% 23.14/6.18 | (3) ~ (e3 = e0)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (165), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (254) all_0_12_12 = e3
% 23.14/6.18 |
% 23.14/6.18 | Equations (254) can reduce 206 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (206) ~ (all_0_12_12 = e3)
% 23.14/6.18 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (714), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (347) all_0_13_13 = e3
% 23.14/6.18 |
% 23.14/6.18 | Combining equations (444,347) yields a new equation:
% 23.14/6.18 | (556) e3 = e1
% 23.14/6.18 |
% 23.14/6.18 | Equations (556) can reduce 163 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (337) ~ (all_0_13_13 = e3)
% 23.14/6.18 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (1007), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (516) all_0_14_14 = e3
% 23.14/6.18 |
% 23.14/6.18 | Combining equations (522,516) yields a new equation:
% 23.14/6.18 | (352) e3 = e2
% 23.14/6.18 |
% 23.14/6.18 | Equations (352) can reduce 111 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (308) ~ (all_0_14_14 = e3)
% 23.14/6.18 | (726) all_0_15_15 = e3
% 23.14/6.18 |
% 23.14/6.18 | Equations (726) can reduce 129 to:
% 23.14/6.18 | (204) ~ (all_0_11_11 = e3)
% 23.14/6.18 |
% 23.14/6.18 | Equations (726) can reduce 536 to:
% 23.14/6.18 | (163) ~ (e3 = e1)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (91), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (322) all_0_8_8 = e0
% 23.14/6.18 |
% 23.14/6.18 | Combining equations (322,200) yields a new equation:
% 23.14/6.18 | (323) e3 = e0
% 23.14/6.18 |
% 23.14/6.18 | Equations (323) can reduce 3 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (199) ~ (all_0_8_8 = e0)
% 23.14/6.18 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (326), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (392) all_0_12_12 = e0
% 23.14/6.18 |
% 23.14/6.18 | Equations (392) can reduce 307 to:
% 23.14/6.18 | (193) ~ (e1 = e0)
% 23.14/6.18 |
% 23.14/6.18 | Simplifying 193 yields:
% 23.14/6.18 | (157) ~ (e1 = e0)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (703), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (212) all_0_18_18 = e3
% 23.14/6.18 |
% 23.14/6.18 | Equations (212) can reduce 211 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (211) ~ (all_0_18_18 = e3)
% 23.14/6.18 | (560) all_0_22_22 = e3
% 23.14/6.18 |
% 23.14/6.18 | Equations (560) can reduce 14 to:
% 23.14/6.18 | (210) ~ (all_0_20_20 = e3)
% 23.14/6.18 |
% 23.14/6.18 | Equations (560) can reduce 531 to:
% 23.14/6.18 | (111) ~ (e3 = e2)
% 23.14/6.18 |
% 23.14/6.18 | Equations (560) can reduce 188 to:
% 23.14/6.18 | (3) ~ (e3 = e0)
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (47), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (621) all_0_8_8 = e1
% 23.14/6.18 |
% 23.14/6.18 | Combining equations (621,200) yields a new equation:
% 23.14/6.18 | (556) e3 = e1
% 23.14/6.18 |
% 23.14/6.18 | Equations (556) can reduce 163 to:
% 23.14/6.18 | (172) $false
% 23.14/6.18 |
% 23.14/6.18 |-The branch is then unsatisfiable
% 23.14/6.18 |-Branch two:
% 23.14/6.18 | (196) ~ (all_0_8_8 = e1)
% 23.14/6.18 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (99), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (223), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.14/6.18 |
% 23.14/6.18 +-Applying beta-rule and splitting (224), into two cases.
% 23.14/6.18 |-Branch one:
% 23.14/6.18 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (225), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (226), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (227), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (228), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (229), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (230), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (231) yields:
% 23.14/6.19 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.19 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.14/6.19 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.14/6.19 | (235) all_0_9_9 = e2
% 23.14/6.19 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.14/6.19 |
% 23.14/6.19 | Equations (200) can reduce 232 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (238) yields:
% 23.14/6.19 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.19 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.14/6.19 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.14/6.19 | (242) all_0_10_10 = e1
% 23.14/6.19 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (242,395) yields a new equation:
% 23.14/6.19 | (542) e1 = e0
% 23.14/6.19 |
% 23.14/6.19 | Simplifying 542 yields:
% 23.14/6.19 | (543) e1 = e0
% 23.14/6.19 |
% 23.14/6.19 | Equations (543) can reduce 157 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (245) yields:
% 23.14/6.19 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.19 | (247) all_0_11_11 = e0
% 23.14/6.19 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.14/6.19 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.14/6.19 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.14/6.19 |
% 23.14/6.19 | Equations (247) can reduce 183 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (252) yields:
% 23.14/6.19 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.19 | (254) all_0_12_12 = e3
% 23.14/6.19 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.14/6.19 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.14/6.19 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (254,392) yields a new equation:
% 23.14/6.19 | (564) e3 = e0
% 23.14/6.19 |
% 23.14/6.19 | Simplifying 564 yields:
% 23.14/6.19 | (323) e3 = e0
% 23.14/6.19 |
% 23.14/6.19 | Equations (323) can reduce 3 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (259) yields:
% 23.14/6.19 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.19 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.14/6.19 | (262) all_0_14_14 = e1
% 23.14/6.19 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.14/6.19 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (522,262) yields a new equation:
% 23.14/6.19 | (966) e2 = e1
% 23.14/6.19 |
% 23.14/6.19 | Simplifying 966 yields:
% 23.14/6.19 | (742) e2 = e1
% 23.14/6.19 |
% 23.14/6.19 | Equations (742) can reduce 75 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (266) yields:
% 23.14/6.19 | (253) ~ (all_0_13_13 = e2)
% 23.14/6.19 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.14/6.19 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.14/6.19 | (270) all_0_15_15 = e0
% 23.14/6.19 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (726,270) yields a new equation:
% 23.14/6.19 | (564) e3 = e0
% 23.14/6.19 |
% 23.14/6.19 | Simplifying 564 yields:
% 23.14/6.19 | (323) e3 = e0
% 23.14/6.19 |
% 23.14/6.19 | Equations (323) can reduce 3 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (273) yields:
% 23.14/6.19 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.14/6.19 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.19 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.14/6.19 | (277) all_0_16_16 = e3
% 23.14/6.19 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (685,277) yields a new equation:
% 23.14/6.19 | (352) e3 = e2
% 23.14/6.19 |
% 23.14/6.19 | Equations (352) can reduce 111 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (280) yields:
% 23.14/6.19 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.14/6.19 | (282) all_0_17_17 = e2
% 23.14/6.19 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.19 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.14/6.19 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (360,282) yields a new equation:
% 23.14/6.19 | (511) e3 = e2
% 23.14/6.19 |
% 23.14/6.19 | Simplifying 511 yields:
% 23.14/6.19 | (352) e3 = e2
% 23.14/6.19 |
% 23.14/6.19 | Equations (352) can reduce 111 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (287) yields:
% 23.14/6.19 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.14/6.19 | (275) ~ (all_0_18_18 = e1)
% 23.14/6.19 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.14/6.19 | (291) all_0_19_19 = e0
% 23.14/6.19 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (274), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (167) ~ (all_0_13_13 = e1)
% 23.14/6.19 |
% 23.14/6.19 | Equations (444) can reduce 167 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (444) all_0_13_13 = e1
% 23.14/6.19 | (521) ~ (all_0_14_14 = e2)
% 23.14/6.19 |
% 23.14/6.19 | Equations (522) can reduce 521 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 23.14/6.19 |
% 23.14/6.19 | Applying alpha-rule on (294) yields:
% 23.14/6.19 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 23.14/6.19 | (296) ~ (all_0_23_23 = e0)
% 23.14/6.19 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 23.14/6.19 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 23.14/6.19 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 23.14/6.19 |
% 23.14/6.19 | Equations (175) can reduce 296 to:
% 23.14/6.19 | (29) ~ (e2 = e0)
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (751), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (411) all_0_9_9 = e1
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (411,235) yields a new equation:
% 23.14/6.19 | (742) e2 = e1
% 23.14/6.19 |
% 23.14/6.19 | Equations (742) can reduce 75 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (423) ~ (all_0_9_9 = e1)
% 23.14/6.19 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (900), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (242) all_0_10_10 = e1
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (242,395) yields a new equation:
% 23.14/6.19 | (542) e1 = e0
% 23.14/6.19 |
% 23.14/6.19 | Simplifying 542 yields:
% 23.14/6.19 | (543) e1 = e0
% 23.14/6.19 |
% 23.14/6.19 | Equations (543) can reduce 157 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (221) ~ (all_0_10_10 = e1)
% 23.14/6.19 | (418) all_0_11_11 = e1
% 23.14/6.19 |
% 23.14/6.19 | Equations (418) can reduce 204 to:
% 23.14/6.19 | (313) ~ (e3 = e1)
% 23.14/6.19 |
% 23.14/6.19 | Simplifying 313 yields:
% 23.14/6.19 | (163) ~ (e3 = e1)
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (295), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (327) all_0_20_20 = e3
% 23.14/6.19 |
% 23.14/6.19 | Equations (327) can reduce 210 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (210) ~ (all_0_20_20 = e3)
% 23.14/6.19 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (4710), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (510) all_0_21_21 = e2
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (1185,510) yields a new equation:
% 23.14/6.19 | (500) e2 = e0
% 23.14/6.19 |
% 23.14/6.19 | Equations (500) can reduce 29 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (514) ~ (all_0_21_21 = e2)
% 23.14/6.19 | (864) all_0_22_22 = e1
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (560,864) yields a new equation:
% 23.14/6.19 | (555) e3 = e1
% 23.14/6.19 |
% 23.14/6.19 | Simplifying 555 yields:
% 23.14/6.19 | (556) e3 = e1
% 23.14/6.19 |
% 23.14/6.19 | Equations (556) can reduce 163 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (606) ~ (all_0_12_12 = e0)
% 23.14/6.19 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (607), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (608) all_0_16_16 = e0
% 23.14/6.19 |
% 23.14/6.19 | Combining equations (685,608) yields a new equation:
% 23.14/6.19 | (499) e2 = e0
% 23.14/6.19 |
% 23.14/6.19 | Simplifying 499 yields:
% 23.14/6.19 | (500) e2 = e0
% 23.14/6.19 |
% 23.14/6.19 | Equations (500) can reduce 29 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (612) ~ (all_0_16_16 = e0)
% 23.14/6.19 | (613) all_0_20_20 = e0
% 23.14/6.19 |
% 23.14/6.19 | Equations (613) can reduce 186 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (232) ~ (all_0_8_8 = e3)
% 23.14/6.19 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (146), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (621) all_0_8_8 = e1
% 23.14/6.19 |
% 23.14/6.19 | Equations (621) can reduce 196 to:
% 23.14/6.19 | (172) $false
% 23.14/6.19 |
% 23.14/6.19 |-The branch is then unsatisfiable
% 23.14/6.19 |-Branch two:
% 23.14/6.19 | (196) ~ (all_0_8_8 = e1)
% 23.14/6.19 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 23.14/6.19 |
% 23.14/6.19 +-Applying beta-rule and splitting (778), into two cases.
% 23.14/6.19 |-Branch one:
% 23.14/6.19 | (389) all_0_12_12 = e1
% 23.30/6.19 |
% 23.30/6.19 | Equations (389) can reduce 307 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (307) ~ (all_0_12_12 = e1)
% 23.30/6.19 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (2268), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (305) all_0_16_16 = e1
% 23.30/6.19 |
% 23.30/6.19 | Combining equations (685,305) yields a new equation:
% 23.30/6.19 | (966) e2 = e1
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 966 yields:
% 23.30/6.19 | (742) e2 = e1
% 23.30/6.19 |
% 23.30/6.19 | Equations (742) can reduce 75 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (770) ~ (all_0_16_16 = e1)
% 23.30/6.19 | (952) all_0_20_20 = e1
% 23.30/6.19 |
% 23.30/6.19 | Equations (952) can reduce 125 to:
% 23.30/6.19 | (196) ~ (all_0_8_8 = e1)
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (616), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (492) all_0_8_8 = e2
% 23.30/6.19 |
% 23.30/6.19 | Equations (492) can reduce 198 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (198) ~ (all_0_8_8 = e2)
% 23.30/6.19 | (620) all_0_8_8 = e1 | all_0_8_8 = e0
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (620), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (621) all_0_8_8 = e1
% 23.30/6.19 |
% 23.30/6.19 | Equations (621) can reduce 196 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (196) ~ (all_0_8_8 = e1)
% 23.30/6.19 | (322) all_0_8_8 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (322) can reduce 199 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (621) all_0_8_8 = e1
% 23.30/6.19 | (695) all_0_10_10 = e3
% 23.30/6.19 |
% 23.30/6.19 | Combining equations (395,695) yields a new equation:
% 23.30/6.19 | (323) e3 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (323) can reduce 3 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (426) ~ (all_0_10_10 = e0)
% 23.30/6.19 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (117), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (608) all_0_16_16 = e0
% 23.30/6.19 |
% 23.30/6.19 | Combining equations (685,608) yields a new equation:
% 23.30/6.19 | (499) e2 = e0
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 499 yields:
% 23.30/6.19 | (500) e2 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (500) can reduce 29 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (612) ~ (all_0_16_16 = e0)
% 23.30/6.19 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (685) can reduce 612 to:
% 23.30/6.19 | (29) ~ (e2 = e0)
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (427), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (529) all_0_14_14 = e0
% 23.30/6.19 |
% 23.30/6.19 | Combining equations (522,529) yields a new equation:
% 23.30/6.19 | (499) e2 = e0
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 499 yields:
% 23.30/6.19 | (500) e2 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (500) can reduce 29 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (470) ~ (all_0_14_14 = e0)
% 23.30/6.19 | (572) all_0_18_18 = e0 | all_0_22_22 = e0
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (572), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (302) all_0_18_18 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (302) can reduce 197 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (197) ~ (all_0_18_18 = e0)
% 23.30/6.19 | (583) all_0_22_22 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (583) can reduce 188 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (302) all_0_18_18 = e0
% 23.30/6.19 | (458) all_0_19_19 = e1
% 23.30/6.19 |
% 23.30/6.19 | Equations (302) can reduce 51 to:
% 23.30/6.19 | (426) ~ (all_0_10_10 = e0)
% 23.30/6.19 |
% 23.30/6.19 | Equations (302,458) can reduce 43 to:
% 23.30/6.19 | (193) ~ (e1 = e0)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 193 yields:
% 23.30/6.19 | (157) ~ (e1 = e0)
% 23.30/6.19 |
% 23.30/6.19 | Equations (302) can reduce 119 to:
% 23.30/6.19 | (659) ~ (all_0_22_22 = e0)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 659 yields:
% 23.30/6.19 | (188) ~ (all_0_22_22 = e0)
% 23.30/6.19 |
% 23.30/6.19 | Equations (302) can reduce 195 to:
% 23.30/6.19 | (191) ~ (e2 = e0)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 191 yields:
% 23.30/6.19 | (29) ~ (e2 = e0)
% 23.30/6.19 |
% 23.30/6.19 | Equations (458) can reduce 456 to:
% 23.30/6.19 | (924) ~ (e2 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 924 yields:
% 23.30/6.19 | (75) ~ (e2 = e1)
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (37), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (200) all_0_8_8 = e3
% 23.30/6.19 |
% 23.30/6.19 | Equations (200) can reduce 124 to:
% 23.30/6.19 | (203) ~ (all_0_11_11 = e3)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 203 yields:
% 23.30/6.19 | (204) ~ (all_0_11_11 = e3)
% 23.30/6.19 |
% 23.30/6.19 | Equations (200) can reduce 125 to:
% 23.30/6.19 | (209) ~ (all_0_20_20 = e3)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 209 yields:
% 23.30/6.19 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (70), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (327) all_0_20_20 = e3
% 23.30/6.19 |
% 23.30/6.19 | Equations (327) can reduce 210 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.19 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (330), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (335) all_0_20_20 = e2
% 23.30/6.19 |
% 23.30/6.19 | Equations (335) can reduce 466 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.19 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (467), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (952) all_0_20_20 = e1
% 23.30/6.19 |
% 23.30/6.19 | Equations (952) can reduce 42 to:
% 23.30/6.19 | (307) ~ (all_0_12_12 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Equations (952) can reduce 14 to:
% 23.30/6.19 | (3509) ~ (all_0_22_22 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 3509 yields:
% 23.30/6.19 | (975) ~ (all_0_22_22 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Equations (952) can reduce 466 to:
% 23.30/6.19 | (924) ~ (e2 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 924 yields:
% 23.30/6.19 | (75) ~ (e2 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Equations (952) can reduce 186 to:
% 23.30/6.19 | (157) ~ (e1 = e0)
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (143), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (560) all_0_22_22 = e3
% 23.30/6.19 |
% 23.30/6.19 | Equations (560) can reduce 72 to:
% 23.30/6.19 | (306) ~ (all_0_10_10 = e3)
% 23.30/6.19 |
% 23.30/6.19 | Equations (560) can reduce 531 to:
% 23.30/6.19 | (111) ~ (e3 = e2)
% 23.30/6.19 |
% 23.30/6.19 | Equations (560) can reduce 975 to:
% 23.30/6.19 | (163) ~ (e3 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Equations (560) can reduce 188 to:
% 23.30/6.19 | (3) ~ (e3 = e0)
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (49), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (242) all_0_10_10 = e1
% 23.30/6.19 |
% 23.30/6.19 | Equations (242) can reduce 23 to:
% 23.30/6.19 | (412) ~ (all_0_11_11 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 412 yields:
% 23.30/6.19 | (413) ~ (all_0_11_11 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Equations (242) can reduce 306 to:
% 23.30/6.19 | (313) ~ (e3 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 313 yields:
% 23.30/6.19 | (163) ~ (e3 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Equations (242) can reduce 985 to:
% 23.30/6.19 | (924) ~ (e2 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 924 yields:
% 23.30/6.19 | (75) ~ (e2 = e1)
% 23.30/6.19 |
% 23.30/6.19 | Equations (242) can reduce 426 to:
% 23.30/6.19 | (157) ~ (e1 = e0)
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (91), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (322) all_0_8_8 = e0
% 23.30/6.19 |
% 23.30/6.19 | Combining equations (322,200) yields a new equation:
% 23.30/6.19 | (323) e3 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (323) can reduce 3 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (199) ~ (all_0_8_8 = e0)
% 23.30/6.19 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (200) can reduce 199 to:
% 23.30/6.19 | (3) ~ (e3 = e0)
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (65), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (399) all_0_11_11 = e3
% 23.30/6.19 |
% 23.30/6.19 | Equations (399) can reduce 204 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (204) ~ (all_0_11_11 = e3)
% 23.30/6.19 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (63), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (322) all_0_8_8 = e0
% 23.30/6.19 |
% 23.30/6.19 | Combining equations (322,200) yields a new equation:
% 23.30/6.19 | (323) e3 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (323) can reduce 3 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (199) ~ (all_0_8_8 = e0)
% 23.30/6.19 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (432), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (424) all_0_9_9 = e0
% 23.30/6.19 |
% 23.30/6.19 | Combining equations (424,235) yields a new equation:
% 23.30/6.19 | (500) e2 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (500) can reduce 29 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (372) ~ (all_0_9_9 = e0)
% 23.30/6.19 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 23.30/6.19 |
% 23.30/6.19 +-Applying beta-rule and splitting (436), into two cases.
% 23.30/6.19 |-Branch one:
% 23.30/6.19 | (395) all_0_10_10 = e0
% 23.30/6.19 |
% 23.30/6.19 | Combining equations (395,242) yields a new equation:
% 23.30/6.19 | (543) e1 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (543) can reduce 157 to:
% 23.30/6.19 | (172) $false
% 23.30/6.19 |
% 23.30/6.19 |-The branch is then unsatisfiable
% 23.30/6.19 |-Branch two:
% 23.30/6.19 | (426) ~ (all_0_10_10 = e0)
% 23.30/6.19 | (247) all_0_11_11 = e0
% 23.30/6.19 |
% 23.30/6.19 | Equations (247) can reduce 129 to:
% 23.30/6.19 | (657) ~ (all_0_15_15 = e0)
% 23.30/6.19 |
% 23.30/6.19 | Simplifying 657 yields:
% 23.30/6.19 | (184) ~ (all_0_15_15 = e0)
% 23.30/6.19 |
% 23.30/6.19 | Equations (247) can reduce 343 to:
% 23.30/6.19 | (191) ~ (e2 = e0)
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 191 yields:
% 23.30/6.20 | (29) ~ (e2 = e0)
% 23.30/6.20 |
% 23.30/6.20 | Equations (247) can reduce 413 to:
% 23.30/6.20 | (193) ~ (e1 = e0)
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 193 yields:
% 23.30/6.20 | (157) ~ (e1 = e0)
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (164), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (392) all_0_12_12 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (392) can reduce 30 to:
% 23.30/6.20 | (657) ~ (all_0_15_15 = e0)
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 657 yields:
% 23.30/6.20 | (184) ~ (all_0_15_15 = e0)
% 23.30/6.20 |
% 23.30/6.20 | Equations (392) can reduce 307 to:
% 23.30/6.20 | (193) ~ (e1 = e0)
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 193 yields:
% 23.30/6.20 | (157) ~ (e1 = e0)
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (139), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (726) all_0_15_15 = e3
% 23.30/6.20 |
% 23.30/6.20 | Equations (726) can reduce 725 to:
% 23.30/6.20 | (111) ~ (e3 = e2)
% 23.30/6.20 |
% 23.30/6.20 | Equations (726) can reduce 184 to:
% 23.30/6.20 | (3) ~ (e3 = e0)
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (99), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (223), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (224), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (225), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (226), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (227), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (228), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (229), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (230), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (231) yields:
% 23.30/6.20 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.20 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.30/6.20 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.30/6.20 | (235) all_0_9_9 = e2
% 23.30/6.20 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.30/6.20 |
% 23.30/6.20 | Equations (200) can reduce 232 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (238) yields:
% 23.30/6.20 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.20 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.30/6.20 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.30/6.20 | (242) all_0_10_10 = e1
% 23.30/6.20 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.30/6.20 |
% 23.30/6.20 | Equations (200) can reduce 232 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (245) yields:
% 23.30/6.20 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.20 | (247) all_0_11_11 = e0
% 23.30/6.20 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.30/6.20 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.30/6.20 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.30/6.20 |
% 23.30/6.20 | Equations (200) can reduce 232 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (252) yields:
% 23.30/6.20 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.20 | (254) all_0_12_12 = e3
% 23.30/6.20 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.30/6.20 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.30/6.20 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (392,254) yields a new equation:
% 23.30/6.20 | (323) e3 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (323) can reduce 3 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (259) yields:
% 23.30/6.20 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.20 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.30/6.20 | (262) all_0_14_14 = e1
% 23.30/6.20 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.30/6.20 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (262,522) yields a new equation:
% 23.30/6.20 | (742) e2 = e1
% 23.30/6.20 |
% 23.30/6.20 | Equations (742) can reduce 75 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (266) yields:
% 23.30/6.20 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.20 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.30/6.20 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.30/6.20 | (270) all_0_15_15 = e0
% 23.30/6.20 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (726,270) yields a new equation:
% 23.30/6.20 | (564) e3 = e0
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 564 yields:
% 23.30/6.20 | (323) e3 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (323) can reduce 3 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (273) yields:
% 23.30/6.20 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.30/6.20 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.20 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.30/6.20 | (277) all_0_16_16 = e3
% 23.30/6.20 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (685,277) yields a new equation:
% 23.30/6.20 | (352) e3 = e2
% 23.30/6.20 |
% 23.30/6.20 | Equations (352) can reduce 111 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (280) yields:
% 23.30/6.20 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.30/6.20 | (282) all_0_17_17 = e2
% 23.30/6.20 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.20 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.30/6.20 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (360,282) yields a new equation:
% 23.30/6.20 | (511) e3 = e2
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 511 yields:
% 23.30/6.20 | (352) e3 = e2
% 23.30/6.20 |
% 23.30/6.20 | Equations (352) can reduce 111 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (287) yields:
% 23.30/6.20 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.30/6.20 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.20 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.30/6.20 | (291) all_0_19_19 = e0
% 23.30/6.20 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (458,291) yields a new equation:
% 23.30/6.20 | (542) e1 = e0
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 542 yields:
% 23.30/6.20 | (543) e1 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (543) can reduce 157 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 23.30/6.20 |
% 23.30/6.20 | Applying alpha-rule on (294) yields:
% 23.30/6.20 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 23.30/6.20 | (296) ~ (all_0_23_23 = e0)
% 23.30/6.20 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 23.30/6.20 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 23.30/6.20 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (297), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (312) ~ (all_0_19_19 = e1)
% 23.30/6.20 |
% 23.30/6.20 | Equations (458) can reduce 312 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (458) all_0_19_19 = e1
% 23.30/6.20 | (197) ~ (all_0_18_18 = e0)
% 23.30/6.20 |
% 23.30/6.20 | Equations (302) can reduce 197 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (642) ~ (all_0_15_15 = e3)
% 23.30/6.20 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (1358), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (726) all_0_15_15 = e3
% 23.30/6.20 |
% 23.30/6.20 | Equations (726) can reduce 642 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (642) ~ (all_0_15_15 = e3)
% 23.30/6.20 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (8093), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (331) all_0_19_19 = e3
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (458,331) yields a new equation:
% 23.30/6.20 | (556) e3 = e1
% 23.30/6.20 |
% 23.30/6.20 | Equations (556) can reduce 163 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (317) ~ (all_0_19_19 = e3)
% 23.30/6.20 | (171) all_0_23_23 = e3
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (171,175) yields a new equation:
% 23.30/6.20 | (511) e3 = e2
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 511 yields:
% 23.30/6.20 | (352) e3 = e2
% 23.30/6.20 |
% 23.30/6.20 | Equations (352) can reduce 111 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (606) ~ (all_0_12_12 = e0)
% 23.30/6.20 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (1766), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (447) all_0_13_13 = e0
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (444,447) yields a new equation:
% 23.30/6.20 | (542) e1 = e0
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 542 yields:
% 23.30/6.20 | (543) e1 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (543) can reduce 157 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (373) ~ (all_0_13_13 = e0)
% 23.30/6.20 | (3431) all_0_14_14 = e0 | all_0_15_15 = e0
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (3431), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (529) all_0_14_14 = e0
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (522,529) yields a new equation:
% 23.30/6.20 | (499) e2 = e0
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 499 yields:
% 23.30/6.20 | (500) e2 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (500) can reduce 29 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (470) ~ (all_0_14_14 = e0)
% 23.30/6.20 | (270) all_0_15_15 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (270) can reduce 184 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (221) ~ (all_0_10_10 = e1)
% 23.30/6.20 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (745), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (262) all_0_14_14 = e1
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (262,522) yields a new equation:
% 23.30/6.20 | (742) e2 = e1
% 23.30/6.20 |
% 23.30/6.20 | Equations (742) can reduce 75 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (222) ~ (all_0_14_14 = e1)
% 23.30/6.20 | (794) all_0_18_18 = e1 | all_0_22_22 = e1
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (794), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (220) all_0_18_18 = e1
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (302,220) yields a new equation:
% 23.30/6.20 | (543) e1 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (543) can reduce 157 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.20 | (864) all_0_22_22 = e1
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (560,864) yields a new equation:
% 23.30/6.20 | (555) e3 = e1
% 23.30/6.20 |
% 23.30/6.20 | Simplifying 555 yields:
% 23.30/6.20 | (556) e3 = e1
% 23.30/6.20 |
% 23.30/6.20 | Equations (556) can reduce 163 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (319) ~ (all_0_22_22 = e3)
% 23.30/6.20 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (2882), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (520) all_0_22_22 = e2
% 23.30/6.20 |
% 23.30/6.20 | Equations (520) can reduce 531 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (531) ~ (all_0_22_22 = e2)
% 23.30/6.20 | (4223) all_0_22_22 = e1 | all_0_22_22 = e0
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (4223), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (864) all_0_22_22 = e1
% 23.30/6.20 |
% 23.30/6.20 | Equations (864) can reduce 975 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (975) ~ (all_0_22_22 = e1)
% 23.30/6.20 | (583) all_0_22_22 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (583) can reduce 188 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (963) ~ (all_0_20_20 = e1)
% 23.30/6.20 | (613) all_0_20_20 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (613) can reduce 186 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.20 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (4875), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (382) all_0_13_13 = e2
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (444,382) yields a new equation:
% 23.30/6.20 | (742) e2 = e1
% 23.30/6.20 |
% 23.30/6.20 | Equations (742) can reduce 75 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.20 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 23.30/6.20 |
% 23.30/6.20 +-Applying beta-rule and splitting (4885), into two cases.
% 23.30/6.20 |-Branch one:
% 23.30/6.20 | (220) all_0_18_18 = e1
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (302,220) yields a new equation:
% 23.30/6.20 | (543) e1 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (543) can reduce 157 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.20 |-Branch two:
% 23.30/6.20 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.20 | (182) all_0_23_23 = e0
% 23.30/6.20 |
% 23.30/6.20 | Combining equations (182,175) yields a new equation:
% 23.30/6.20 | (500) e2 = e0
% 23.30/6.20 |
% 23.30/6.20 | Equations (500) can reduce 29 to:
% 23.30/6.20 | (172) $false
% 23.30/6.20 |
% 23.30/6.20 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (315) ~ (all_0_17_17 = e3)
% 23.30/6.21 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (363), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (282) all_0_17_17 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (282) can reduce 344 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.21 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (367), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (368) all_0_17_17 = e1
% 23.30/6.21 |
% 23.30/6.21 | Equations (368) can reduce 310 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (310) ~ (all_0_17_17 = e1)
% 23.30/6.21 | (371) all_0_17_17 = e0
% 23.30/6.21 |
% 23.30/6.21 | Equations (371) can reduce 1184 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.21 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (66), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (492) all_0_8_8 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (492) can reduce 198 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (198) ~ (all_0_8_8 = e2)
% 23.30/6.21 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (2231), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (385) all_0_12_12 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (385) can reduce 336 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (336) ~ (all_0_12_12 = e2)
% 23.30/6.21 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (2235), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (685) all_0_16_16 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (685) can reduce 688 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.21 | (335) all_0_20_20 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (335) can reduce 466 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (383) ~ (all_0_9_9 = e2)
% 23.30/6.21 | (2041) all_0_10_10 = e2 | all_0_11_11 = e2
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (2041), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (730) all_0_10_10 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (730) can reduce 985 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (985) ~ (all_0_10_10 = e2)
% 23.30/6.21 | (414) all_0_11_11 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (414) can reduce 343 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (179) all_0_23_23 = e1
% 23.30/6.21 | (583) all_0_22_22 = e0
% 23.30/6.21 |
% 23.30/6.21 | Equations (583) can reduce 72 to:
% 23.30/6.21 | (426) ~ (all_0_10_10 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Equations (179) can reduce 131 to:
% 23.30/6.21 | (413) ~ (all_0_11_11 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (179) can reduce 105 to:
% 23.30/6.21 | (536) ~ (all_0_15_15 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (583) can reduce 119 to:
% 23.30/6.21 | (197) ~ (all_0_18_18 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Equations (583) can reduce 14 to:
% 23.30/6.21 | (186) ~ (all_0_20_20 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Equations (583) can reduce 150 to:
% 23.30/6.21 | (187) ~ (all_0_21_21 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Equations (179) can reduce 31 to:
% 23.30/6.21 | (969) ~ (all_0_21_21 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (583,179) can reduce 39 to:
% 23.30/6.21 | (193) ~ (e1 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 193 yields:
% 23.30/6.21 | (157) ~ (e1 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Equations (583) can reduce 531 to:
% 23.30/6.21 | (191) ~ (e2 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 191 yields:
% 23.30/6.21 | (29) ~ (e2 = e0)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (127), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (211) ~ (all_0_18_18 = e3)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (33), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (212) all_0_18_18 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (212) can reduce 211 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (211) ~ (all_0_18_18 = e3)
% 23.30/6.21 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (27), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (695) all_0_10_10 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (695) can reduce 24 to:
% 23.30/6.21 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Equations (695) can reduce 166 to:
% 23.30/6.21 | (202) ~ (all_0_9_9 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Equations (695) can reduce 23 to:
% 23.30/6.21 | (203) ~ (all_0_11_11 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 203 yields:
% 23.30/6.21 | (204) ~ (all_0_11_11 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Equations (695) can reduce 985 to:
% 23.30/6.21 | (111) ~ (e3 = e2)
% 23.30/6.21 |
% 23.30/6.21 | Equations (695) can reduce 426 to:
% 23.30/6.21 | (3) ~ (e3 = e0)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (64), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (199) ~ (all_0_8_8 = e0)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (37), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (200) all_0_8_8 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (200) can reduce 232 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.21 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (26), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (200) all_0_8_8 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (200) can reduce 232 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.21 | (616) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (49), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (242) all_0_10_10 = e1
% 23.30/6.21 |
% 23.30/6.21 | Combining equations (695,242) yields a new equation:
% 23.30/6.21 | (555) e3 = e1
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 555 yields:
% 23.30/6.21 | (556) e3 = e1
% 23.30/6.21 |
% 23.30/6.21 | Equations (556) can reduce 163 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (221) ~ (all_0_10_10 = e1)
% 23.30/6.21 | (745) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (745), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (262) all_0_14_14 = e1
% 23.30/6.21 |
% 23.30/6.21 | Combining equations (262,522) yields a new equation:
% 23.30/6.21 | (742) e2 = e1
% 23.30/6.21 |
% 23.30/6.21 | Equations (742) can reduce 75 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (222) ~ (all_0_14_14 = e1)
% 23.30/6.21 | (794) all_0_18_18 = e1 | all_0_22_22 = e1
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (794), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (220) all_0_18_18 = e1
% 23.30/6.21 |
% 23.30/6.21 | Equations (220) can reduce 80 to:
% 23.30/6.21 | (310) ~ (all_0_17_17 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (220) can reduce 43 to:
% 23.30/6.21 | (311) ~ (all_0_19_19 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 311 yields:
% 23.30/6.21 | (312) ~ (all_0_19_19 = e1)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (146), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (621) all_0_8_8 = e1
% 23.30/6.21 |
% 23.30/6.21 | Equations (621) can reduce 116 to:
% 23.30/6.21 | (3459) ~ (all_0_9_9 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 3459 yields:
% 23.30/6.21 | (423) ~ (all_0_9_9 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (621) can reduce 124 to:
% 23.30/6.21 | (412) ~ (all_0_11_11 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 412 yields:
% 23.30/6.21 | (413) ~ (all_0_11_11 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (621) can reduce 158 to:
% 23.30/6.21 | (4303) ~ (all_0_12_12 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 4303 yields:
% 23.30/6.21 | (307) ~ (all_0_12_12 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (621) can reduce 121 to:
% 23.30/6.21 | (2507) ~ (all_0_16_16 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 2507 yields:
% 23.30/6.21 | (770) ~ (all_0_16_16 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (621) can reduce 125 to:
% 23.30/6.21 | (2141) ~ (all_0_20_20 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 2141 yields:
% 23.30/6.21 | (963) ~ (all_0_20_20 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (621) can reduce 232 to:
% 23.30/6.21 | (313) ~ (e3 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 313 yields:
% 23.30/6.21 | (163) ~ (e3 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (621) can reduce 198 to:
% 23.30/6.21 | (924) ~ (e2 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 924 yields:
% 23.30/6.21 | (75) ~ (e2 = e1)
% 23.30/6.21 |
% 23.30/6.21 | Equations (621) can reduce 199 to:
% 23.30/6.21 | (157) ~ (e1 = e0)
% 23.30/6.21 |
% 23.30/6.21 | From (621) and (108) follows:
% 23.30/6.21 | (5665) op(e1, e3) = all_0_7_7
% 23.30/6.21 |
% 23.30/6.21 | From (621) and (44) follows:
% 23.30/6.21 | (2256) op(e3, e3) = e1
% 23.30/6.21 |
% 23.30/6.21 | Instantiating formula (152) with e1, e3, all_0_7_7, all_0_16_16 and discharging atoms op(e1, e3) = all_0_7_7, op(e1, e3) = all_0_16_16, yields:
% 23.30/6.21 | (5666) all_0_7_7 = all_0_16_16
% 23.30/6.21 |
% 23.30/6.21 | From (5666) and (6) follows:
% 23.30/6.21 | (14006) op(all_0_16_16, e3) = all_0_6_6
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (85), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (1799) ~ (all_0_6_6 = e2)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (2), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (1798) ~ (all_0_4_4 = e3)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (83), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (2225) ~ (all_0_7_7 = e2)
% 23.30/6.21 |
% 23.30/6.21 | Equations (5666) can reduce 2225 to:
% 23.30/6.21 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (66), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (492) all_0_8_8 = e2
% 23.30/6.21 |
% 23.30/6.21 | Combining equations (621,492) yields a new equation:
% 23.30/6.21 | (742) e2 = e1
% 23.30/6.21 |
% 23.30/6.21 | Equations (742) can reduce 75 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (198) ~ (all_0_8_8 = e2)
% 23.30/6.21 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (2231), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (385) all_0_12_12 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (385) can reduce 336 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (336) ~ (all_0_12_12 = e2)
% 23.30/6.21 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (2235), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (685) all_0_16_16 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (685) can reduce 688 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.21 | (335) all_0_20_20 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (335) can reduce 42 to:
% 23.30/6.21 | (336) ~ (all_0_12_12 = e2)
% 23.30/6.21 |
% 23.30/6.21 | Equations (335) can reduce 101 to:
% 23.30/6.21 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.21 |
% 23.30/6.21 | Equations (335) can reduce 7 to:
% 23.30/6.21 | (2013) ~ (all_0_21_21 = e2)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 2013 yields:
% 23.30/6.21 | (514) ~ (all_0_21_21 = e2)
% 23.30/6.21 |
% 23.30/6.21 | From (335) and (87) follows:
% 23.30/6.21 | (14028) op(e0, e3) = e2
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (107), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (327) all_0_20_20 = e3
% 23.30/6.21 |
% 23.30/6.21 | Combining equations (327,335) yields a new equation:
% 23.30/6.21 | (511) e3 = e2
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 511 yields:
% 23.30/6.21 | (352) e3 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (352) can reduce 111 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.21 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (355), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (356) all_0_21_21 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (356) can reduce 74 to:
% 23.30/6.21 | (202) ~ (all_0_9_9 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Equations (356) can reduce 76 to:
% 23.30/6.21 | (315) ~ (all_0_17_17 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Equations (356) can reduce 514 to:
% 23.30/6.21 | (111) ~ (e3 = e2)
% 23.30/6.21 |
% 23.30/6.21 | Equations (356) can reduce 969 to:
% 23.30/6.21 | (163) ~ (e3 = e1)
% 23.30/6.21 |
% 23.30/6.21 | From (356) and (100) follows:
% 23.30/6.21 | (14040) op(e0, e2) = e3
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (95), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (399) all_0_11_11 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (399) can reduce 204 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (204) ~ (all_0_11_11 = e3)
% 23.30/6.21 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (77), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (277) all_0_16_16 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (277) can reduce 45 to:
% 23.30/6.21 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Equations (277) can reduce 144 to:
% 23.30/6.21 | (2518) ~ (all_0_17_17 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 2518 yields:
% 23.30/6.21 | (315) ~ (all_0_17_17 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Equations (277) can reduce 688 to:
% 23.30/6.21 | (111) ~ (e3 = e2)
% 23.30/6.21 |
% 23.30/6.21 | Equations (277) can reduce 770 to:
% 23.30/6.21 | (163) ~ (e3 = e1)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (165), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (254) all_0_12_12 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (254) can reduce 206 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.21 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (65), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (399) all_0_11_11 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (399) can reduce 204 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (204) ~ (all_0_11_11 = e3)
% 23.30/6.21 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (714), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (347) all_0_13_13 = e3
% 23.30/6.21 |
% 23.30/6.21 | Combining equations (444,347) yields a new equation:
% 23.30/6.21 | (556) e3 = e1
% 23.30/6.21 |
% 23.30/6.21 | Equations (556) can reduce 163 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (337) ~ (all_0_13_13 = e3)
% 23.30/6.21 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (1358), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (726) all_0_15_15 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (726) can reduce 129 to:
% 23.30/6.21 | (204) ~ (all_0_11_11 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Equations (726) can reduce 30 to:
% 23.30/6.21 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.21 |
% 23.30/6.21 | Equations (726) can reduce 725 to:
% 23.30/6.21 | (111) ~ (e3 = e2)
% 23.30/6.21 |
% 23.30/6.21 | Equations (726) can reduce 536 to:
% 23.30/6.21 | (163) ~ (e3 = e1)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (78), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (254) all_0_12_12 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (254) can reduce 206 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.21 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (381), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (385) all_0_12_12 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (385) can reduce 336 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (336) ~ (all_0_12_12 = e2)
% 23.30/6.21 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (388), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (389) all_0_12_12 = e1
% 23.30/6.21 |
% 23.30/6.21 | Equations (389) can reduce 307 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (307) ~ (all_0_12_12 = e1)
% 23.30/6.21 | (392) all_0_12_12 = e0
% 23.30/6.21 |
% 23.30/6.21 | Equations (392) can reduce 206 to:
% 23.30/6.21 | (189) ~ (e3 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 189 yields:
% 23.30/6.21 | (3) ~ (e3 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Equations (392) can reduce 336 to:
% 23.30/6.21 | (191) ~ (e2 = e0)
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 191 yields:
% 23.30/6.21 | (29) ~ (e2 = e0)
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (113), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (685) all_0_16_16 = e2
% 23.30/6.21 |
% 23.30/6.21 | Combining equations (277,685) yields a new equation:
% 23.30/6.21 | (511) e3 = e2
% 23.30/6.21 |
% 23.30/6.21 | Simplifying 511 yields:
% 23.30/6.21 | (352) e3 = e2
% 23.30/6.21 |
% 23.30/6.21 | Equations (352) can reduce 111 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.21 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 23.30/6.21 |
% 23.30/6.21 +-Applying beta-rule and splitting (69), into two cases.
% 23.30/6.21 |-Branch one:
% 23.30/6.21 | (338) all_0_9_9 = e3
% 23.30/6.21 |
% 23.30/6.21 | Equations (338) can reduce 202 to:
% 23.30/6.21 | (172) $false
% 23.30/6.21 |
% 23.30/6.21 |-The branch is then unsatisfiable
% 23.30/6.21 |-Branch two:
% 23.30/6.21 | (202) ~ (all_0_9_9 = e3)
% 23.30/6.21 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (9), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (414) all_0_11_11 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (414) can reduce 54 to:
% 23.30/6.22 | (383) ~ (all_0_9_9 = e2)
% 23.30/6.22 |
% 23.30/6.22 | Equations (414) can reduce 204 to:
% 23.30/6.22 | (345) ~ (e3 = e2)
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 345 yields:
% 23.30/6.22 | (111) ~ (e3 = e2)
% 23.30/6.22 |
% 23.30/6.22 | Equations (414) can reduce 413 to:
% 23.30/6.22 | (75) ~ (e2 = e1)
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (61), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (235) all_0_9_9 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (235) can reduce 383 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (383) ~ (all_0_9_9 = e2)
% 23.30/6.22 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (99), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (223), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (224), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (225), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (226), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (227), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (228), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (229), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (230), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (231) yields:
% 23.30/6.22 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.22 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.30/6.22 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.30/6.22 | (235) all_0_9_9 = e2
% 23.30/6.22 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.30/6.22 |
% 23.30/6.22 | Equations (235) can reduce 383 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (238) yields:
% 23.30/6.22 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.22 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.30/6.22 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.30/6.22 | (242) all_0_10_10 = e1
% 23.30/6.22 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (242,695) yields a new equation:
% 23.30/6.22 | (556) e3 = e1
% 23.30/6.22 |
% 23.30/6.22 | Equations (556) can reduce 163 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (245) yields:
% 23.30/6.22 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.22 | (247) all_0_11_11 = e0
% 23.30/6.22 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.30/6.22 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.30/6.22 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (247,414) yields a new equation:
% 23.30/6.22 | (500) e2 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (500) can reduce 29 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (252) yields:
% 23.30/6.22 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.22 | (254) all_0_12_12 = e3
% 23.30/6.22 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.30/6.22 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.30/6.22 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (254,392) yields a new equation:
% 23.30/6.22 | (564) e3 = e0
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 564 yields:
% 23.30/6.22 | (323) e3 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (323) can reduce 3 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (259) yields:
% 23.30/6.22 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.22 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.30/6.22 | (262) all_0_14_14 = e1
% 23.30/6.22 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.30/6.22 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (262,522) yields a new equation:
% 23.30/6.22 | (742) e2 = e1
% 23.30/6.22 |
% 23.30/6.22 | Equations (742) can reduce 75 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (266) yields:
% 23.30/6.22 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.22 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.30/6.22 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.30/6.22 | (270) all_0_15_15 = e0
% 23.30/6.22 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (726,270) yields a new equation:
% 23.30/6.22 | (564) e3 = e0
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 564 yields:
% 23.30/6.22 | (323) e3 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (323) can reduce 3 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (273) yields:
% 23.30/6.22 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.30/6.22 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.22 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.30/6.22 | (277) all_0_16_16 = e3
% 23.30/6.22 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.30/6.22 |
% 23.30/6.22 | Equations (220) can reduce 275 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (280) yields:
% 23.30/6.22 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.30/6.22 | (282) all_0_17_17 = e2
% 23.30/6.22 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.22 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.30/6.22 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.30/6.22 |
% 23.30/6.22 | Equations (220) can reduce 275 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (287) yields:
% 23.30/6.22 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.30/6.22 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.22 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.30/6.22 | (291) all_0_19_19 = e0
% 23.30/6.22 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.30/6.22 |
% 23.30/6.22 | Equations (220) can reduce 275 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 23.30/6.22 |
% 23.30/6.22 | Applying alpha-rule on (294) yields:
% 23.30/6.22 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 23.30/6.22 | (296) ~ (all_0_23_23 = e0)
% 23.30/6.22 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 23.30/6.22 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 23.30/6.22 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (406), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (235) all_0_9_9 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (235) can reduce 383 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (383) ~ (all_0_9_9 = e2)
% 23.30/6.22 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (410), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (411) all_0_9_9 = e1
% 23.30/6.22 |
% 23.30/6.22 | Equations (411) can reduce 423 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (423) ~ (all_0_9_9 = e1)
% 23.30/6.22 | (424) all_0_9_9 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (424) can reduce 202 to:
% 23.30/6.22 | (189) ~ (e3 = e0)
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 189 yields:
% 23.30/6.22 | (3) ~ (e3 = e0)
% 23.30/6.22 |
% 23.30/6.22 | Equations (424) can reduce 383 to:
% 23.30/6.22 | (191) ~ (e2 = e0)
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 191 yields:
% 23.30/6.22 | (29) ~ (e2 = e0)
% 23.30/6.22 |
% 23.30/6.22 | Equations (424) can reduce 423 to:
% 23.30/6.22 | (193) ~ (e1 = e0)
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 193 yields:
% 23.30/6.22 | (157) ~ (e1 = e0)
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (133), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (360) all_0_17_17 = e3
% 23.30/6.22 |
% 23.30/6.22 | Equations (360) can reduce 315 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (315) ~ (all_0_17_17 = e3)
% 23.30/6.22 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (153), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (247) all_0_11_11 = e0
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (247,414) yields a new equation:
% 23.30/6.22 | (500) e2 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (500) can reduce 29 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (183) ~ (all_0_11_11 = e0)
% 23.30/6.22 | (9734) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (689), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (282) all_0_17_17 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (282) can reduce 315 to:
% 23.30/6.22 | (345) ~ (e3 = e2)
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 345 yields:
% 23.30/6.22 | (111) ~ (e3 = e2)
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (117), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (608) all_0_16_16 = e0
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (277,608) yields a new equation:
% 23.30/6.22 | (564) e3 = e0
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 564 yields:
% 23.30/6.22 | (323) e3 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (323) can reduce 3 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (612) ~ (all_0_16_16 = e0)
% 23.30/6.22 | (653) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (277) can reduce 612 to:
% 23.30/6.22 | (3) ~ (e3 = e0)
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (295), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (327) all_0_20_20 = e3
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (335,327) yields a new equation:
% 23.30/6.22 | (352) e3 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (352) can reduce 111 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.22 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 23.30/6.22 |
% 23.30/6.22 | Equations (335) can reduce 210 to:
% 23.30/6.22 | (345) ~ (e3 = e2)
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 345 yields:
% 23.30/6.22 | (111) ~ (e3 = e2)
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (9734), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (270) all_0_15_15 = e0
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (726,270) yields a new equation:
% 23.30/6.22 | (564) e3 = e0
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 564 yields:
% 23.30/6.22 | (323) e3 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (323) can reduce 3 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (184) ~ (all_0_15_15 = e0)
% 23.30/6.22 | (10180) all_0_19_19 = e0 | all_0_23_23 = e0
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (10180), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (291) all_0_19_19 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (291) can reduce 312 to:
% 23.30/6.22 | (193) ~ (e1 = e0)
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 193 yields:
% 23.30/6.22 | (157) ~ (e1 = e0)
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (4710), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (510) all_0_21_21 = e2
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (356,510) yields a new equation:
% 23.30/6.22 | (511) e3 = e2
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 511 yields:
% 23.30/6.22 | (352) e3 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (352) can reduce 111 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (514) ~ (all_0_21_21 = e2)
% 23.30/6.22 | (864) all_0_22_22 = e1
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (583,864) yields a new equation:
% 23.30/6.22 | (543) e1 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (543) can reduce 157 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (185) ~ (all_0_19_19 = e0)
% 23.30/6.22 | (182) all_0_23_23 = e0
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (182,179) yields a new equation:
% 23.30/6.22 | (543) e1 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (543) can reduce 157 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.22 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (930), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (382) all_0_13_13 = e2
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (382,444) yields a new equation:
% 23.30/6.22 | (966) e2 = e1
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 966 yields:
% 23.30/6.22 | (742) e2 = e1
% 23.30/6.22 |
% 23.30/6.22 | Equations (742) can reduce 75 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.22 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (939), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (282) all_0_17_17 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (282) can reduce 344 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.22 | (510) all_0_21_21 = e2
% 23.30/6.22 |
% 23.30/6.22 | Combining equations (356,510) yields a new equation:
% 23.30/6.22 | (511) e3 = e2
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 511 yields:
% 23.30/6.22 | (352) e3 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (352) can reduce 111 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (343) ~ (all_0_11_11 = e2)
% 23.30/6.22 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (402), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (414) all_0_11_11 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (414) can reduce 343 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (343) ~ (all_0_11_11 = e2)
% 23.30/6.22 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (417), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (418) all_0_11_11 = e1
% 23.30/6.22 |
% 23.30/6.22 | Equations (418) can reduce 413 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (413) ~ (all_0_11_11 = e1)
% 23.30/6.22 | (247) all_0_11_11 = e0
% 23.30/6.22 |
% 23.30/6.22 | Equations (247) can reduce 54 to:
% 23.30/6.22 | (372) ~ (all_0_9_9 = e0)
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (61), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (235) all_0_9_9 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (235) can reduce 136 to:
% 23.30/6.22 | (2237) ~ (all_0_17_17 = e2)
% 23.30/6.22 |
% 23.30/6.22 | Simplifying 2237 yields:
% 23.30/6.22 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (133), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (360) all_0_17_17 = e3
% 23.30/6.22 |
% 23.30/6.22 | Equations (360) can reduce 315 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (315) ~ (all_0_17_17 = e3)
% 23.30/6.22 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 23.30/6.22 |
% 23.30/6.22 +-Applying beta-rule and splitting (363), into two cases.
% 23.30/6.22 |-Branch one:
% 23.30/6.22 | (282) all_0_17_17 = e2
% 23.30/6.22 |
% 23.30/6.22 | Equations (282) can reduce 344 to:
% 23.30/6.22 | (172) $false
% 23.30/6.22 |
% 23.30/6.22 |-The branch is then unsatisfiable
% 23.30/6.22 |-Branch two:
% 23.30/6.22 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.22 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (367), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (368) all_0_17_17 = e1
% 23.30/6.23 |
% 23.30/6.23 | Equations (368) can reduce 310 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (310) ~ (all_0_17_17 = e1)
% 23.30/6.23 | (371) all_0_17_17 = e0
% 23.30/6.23 |
% 23.30/6.23 | From (371) and (12135) follows:
% 23.30/6.23 | (6730) op(e0, e2) = all_0_4_4
% 23.30/6.23 |
% 23.30/6.23 | Instantiating formula (152) with e0, e2, all_0_4_4, e3 and discharging atoms op(e0, e2) = all_0_4_4, op(e0, e2) = e3, yields:
% 23.30/6.23 | (2031) all_0_4_4 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (2031) can reduce 1798 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (383) ~ (all_0_9_9 = e2)
% 23.30/6.23 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (34), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (424) all_0_9_9 = e0
% 23.30/6.23 |
% 23.30/6.23 | Equations (424) can reduce 372 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (372) ~ (all_0_9_9 = e0)
% 23.30/6.23 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (406), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (235) all_0_9_9 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (235) can reduce 383 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (383) ~ (all_0_9_9 = e2)
% 23.30/6.23 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (410), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (411) all_0_9_9 = e1
% 23.30/6.23 |
% 23.30/6.23 | Equations (411) can reduce 423 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (423) ~ (all_0_9_9 = e1)
% 23.30/6.23 | (424) all_0_9_9 = e0
% 23.30/6.23 |
% 23.30/6.23 | Equations (424) can reduce 372 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (642) ~ (all_0_15_15 = e3)
% 23.30/6.23 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (139), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (726) all_0_15_15 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (726) can reduce 642 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (642) ~ (all_0_15_15 = e3)
% 23.30/6.23 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (1007), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (516) all_0_14_14 = e3
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (516,522) yields a new equation:
% 23.30/6.23 | (511) e3 = e2
% 23.30/6.23 |
% 23.30/6.23 | Simplifying 511 yields:
% 23.30/6.23 | (352) e3 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (352) can reduce 111 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (308) ~ (all_0_14_14 = e3)
% 23.30/6.23 | (726) all_0_15_15 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (726) can reduce 642 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.23 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (149), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (200) all_0_8_8 = e3
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (200,621) yields a new equation:
% 23.30/6.23 | (555) e3 = e1
% 23.30/6.23 |
% 23.30/6.23 | Simplifying 555 yields:
% 23.30/6.23 | (556) e3 = e1
% 23.30/6.23 |
% 23.30/6.23 | Equations (556) can reduce 163 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.23 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (621) can reduce 232 to:
% 23.30/6.23 | (313) ~ (e3 = e1)
% 23.30/6.23 |
% 23.30/6.23 | Simplifying 313 yields:
% 23.30/6.23 | (163) ~ (e3 = e1)
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (1015), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (360) all_0_17_17 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (360) can reduce 315 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (315) ~ (all_0_17_17 = e3)
% 23.30/6.23 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (1031), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (212) all_0_18_18 = e3
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (220,212) yields a new equation:
% 23.30/6.23 | (556) e3 = e1
% 23.30/6.23 |
% 23.30/6.23 | Equations (556) can reduce 163 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (211) ~ (all_0_18_18 = e3)
% 23.30/6.23 | (331) all_0_19_19 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (331) can reduce 138 to:
% 23.30/6.23 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (1829), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (254) all_0_12_12 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (254) can reduce 45 to:
% 23.30/6.23 | (207) ~ (all_0_16_16 = e3)
% 23.30/6.23 |
% 23.30/6.23 | Simplifying 207 yields:
% 23.30/6.23 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (97), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (277) all_0_16_16 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (277) can reduce 208 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.23 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (1810), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (685) all_0_16_16 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (685) can reduce 688 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.23 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (2108), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (305) all_0_16_16 = e1
% 23.30/6.23 |
% 23.30/6.23 | Equations (305) can reduce 770 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (770) ~ (all_0_16_16 = e1)
% 23.30/6.23 | (608) all_0_16_16 = e0
% 23.30/6.23 |
% 23.30/6.23 | From (608) and (14006) follows:
% 23.30/6.23 | (9737) op(e0, e3) = all_0_6_6
% 23.30/6.23 |
% 23.30/6.23 | Instantiating formula (152) with e0, e3, all_0_6_6, e2 and discharging atoms op(e0, e3) = all_0_6_6, op(e0, e3) = e2, yields:
% 23.30/6.23 | (2086) all_0_6_6 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (2086) can reduce 1799 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.23 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (2092), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (277) all_0_16_16 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (277) can reduce 208 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.23 | (327) all_0_20_20 = e3
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (335,327) yields a new equation:
% 23.30/6.23 | (352) e3 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (352) can reduce 111 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (449) ~ (all_0_21_21 = e3)
% 23.30/6.23 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (450), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (560) all_0_22_22 = e3
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (583,560) yields a new equation:
% 23.30/6.23 | (323) e3 = e0
% 23.30/6.23 |
% 23.30/6.23 | Equations (323) can reduce 3 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (319) ~ (all_0_22_22 = e3)
% 23.30/6.23 | (171) all_0_23_23 = e3
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (171,179) yields a new equation:
% 23.30/6.23 | (555) e3 = e1
% 23.30/6.23 |
% 23.30/6.23 | Simplifying 555 yields:
% 23.30/6.23 | (556) e3 = e1
% 23.30/6.23 |
% 23.30/6.23 | Equations (556) can reduce 163 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (2491) all_0_7_7 = e2
% 23.30/6.23 | (6032) ~ (all_0_6_6 = e0) | ~ (all_0_8_8 = e1)
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (2491,5666) yields a new equation:
% 23.30/6.23 | (685) all_0_16_16 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (685) can reduce 45 to:
% 23.30/6.23 | (336) ~ (all_0_12_12 = e2)
% 23.30/6.23 |
% 23.30/6.23 | Equations (685) can reduce 101 to:
% 23.30/6.23 | (1813) ~ (all_0_20_20 = e2)
% 23.30/6.23 |
% 23.30/6.23 | Simplifying 1813 yields:
% 23.30/6.23 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.23 |
% 23.30/6.23 | Equations (685) can reduce 770 to:
% 23.30/6.23 | (75) ~ (e2 = e1)
% 23.30/6.23 |
% 23.30/6.23 | From (685) and (14006) follows:
% 23.30/6.23 | (2169) op(e2, e3) = all_0_6_6
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (6032), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (196) ~ (all_0_8_8 = e1)
% 23.30/6.23 |
% 23.30/6.23 | Equations (621) can reduce 196 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (621) all_0_8_8 = e1
% 23.30/6.23 | (6039) ~ (all_0_6_6 = e0)
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (17), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (335) all_0_20_20 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (335) can reduce 466 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.23 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (509), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (510) all_0_21_21 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (510) can reduce 7 to:
% 23.30/6.23 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (70), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (327) all_0_20_20 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (327) can reduce 42 to:
% 23.30/6.23 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (78), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (254) all_0_12_12 = e3
% 23.30/6.23 |
% 23.30/6.23 | Equations (254) can reduce 206 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.23 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (91), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (322) all_0_8_8 = e0
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (322,621) yields a new equation:
% 23.30/6.23 | (543) e1 = e0
% 23.30/6.23 |
% 23.30/6.23 | Equations (543) can reduce 157 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (199) ~ (all_0_8_8 = e0)
% 23.30/6.23 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (381), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (385) all_0_12_12 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (385) can reduce 336 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (336) ~ (all_0_12_12 = e2)
% 23.30/6.23 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (326), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (392) all_0_12_12 = e0
% 23.30/6.23 |
% 23.30/6.23 | From (392) and (162) follows:
% 23.30/6.23 | (14411) op(e2, e3) = e0
% 23.30/6.23 |
% 23.30/6.23 | Instantiating formula (152) with e2, e3, e0, all_0_6_6 and discharging atoms op(e2, e3) = all_0_6_6, op(e2, e3) = e0, yields:
% 23.30/6.23 | (1861) all_0_6_6 = e0
% 23.30/6.23 |
% 23.30/6.23 | Equations (1861) can reduce 6039 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (606) ~ (all_0_12_12 = e0)
% 23.30/6.23 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (388), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (389) all_0_12_12 = e1
% 23.30/6.23 |
% 23.30/6.23 | Equations (389) can reduce 307 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (307) ~ (all_0_12_12 = e1)
% 23.30/6.23 | (392) all_0_12_12 = e0
% 23.30/6.23 |
% 23.30/6.23 | Equations (392) can reduce 606 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.23 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (330), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (335) all_0_20_20 = e2
% 23.30/6.23 |
% 23.30/6.23 | Equations (335) can reduce 466 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.23 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (467), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (952) all_0_20_20 = e1
% 23.30/6.23 |
% 23.30/6.23 | Equations (952) can reduce 963 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (963) ~ (all_0_20_20 = e1)
% 23.30/6.23 | (613) all_0_20_20 = e0
% 23.30/6.23 |
% 23.30/6.23 | Equations (613) can reduce 186 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (514) ~ (all_0_21_21 = e2)
% 23.30/6.23 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 23.30/6.23 |
% 23.30/6.23 +-Applying beta-rule and splitting (515), into two cases.
% 23.30/6.23 |-Branch one:
% 23.30/6.23 | (520) all_0_22_22 = e2
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (583,520) yields a new equation:
% 23.30/6.23 | (500) e2 = e0
% 23.30/6.23 |
% 23.30/6.23 | Equations (500) can reduce 29 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (531) ~ (all_0_22_22 = e2)
% 23.30/6.23 | (175) all_0_23_23 = e2
% 23.30/6.23 |
% 23.30/6.23 | Combining equations (175,179) yields a new equation:
% 23.30/6.23 | (966) e2 = e1
% 23.30/6.23 |
% 23.30/6.23 | Simplifying 966 yields:
% 23.30/6.23 | (742) e2 = e1
% 23.30/6.23 |
% 23.30/6.23 | Equations (742) can reduce 75 to:
% 23.30/6.23 | (172) $false
% 23.30/6.23 |
% 23.30/6.23 |-The branch is then unsatisfiable
% 23.30/6.23 |-Branch two:
% 23.30/6.23 | (2031) all_0_4_4 = e3
% 23.30/6.24 | (14443) ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e1)
% 23.30/6.24 |
% 23.30/6.24 | From (2031) and (12135) follows:
% 23.30/6.24 | (14444) op(all_0_17_17, e2) = e3
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (14443), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (167) ~ (all_0_13_13 = e1)
% 23.30/6.24 |
% 23.30/6.24 | Equations (444) can reduce 167 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (444) all_0_13_13 = e1
% 23.30/6.24 | (7040) ~ (all_0_5_5 = e0)
% 23.30/6.24 |
% 23.30/6.24 | Equations (12134) can reduce 7040 to:
% 23.30/6.24 | (1184) ~ (all_0_17_17 = e0)
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (34), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (424) all_0_9_9 = e0
% 23.30/6.24 |
% 23.30/6.24 | Equations (424) can reduce 54 to:
% 23.30/6.24 | (397) ~ (all_0_11_11 = e0)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 397 yields:
% 23.30/6.24 | (183) ~ (all_0_11_11 = e0)
% 23.30/6.24 |
% 23.30/6.24 | Equations (424) can reduce 136 to:
% 23.30/6.24 | (1781) ~ (all_0_17_17 = e0)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 1781 yields:
% 23.30/6.24 | (1184) ~ (all_0_17_17 = e0)
% 23.30/6.24 |
% 23.30/6.24 | Equations (424) can reduce 202 to:
% 23.30/6.24 | (189) ~ (e3 = e0)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 189 yields:
% 23.30/6.24 | (3) ~ (e3 = e0)
% 23.30/6.24 |
% 23.30/6.24 | Equations (424) can reduce 423 to:
% 23.30/6.24 | (193) ~ (e1 = e0)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 193 yields:
% 23.30/6.24 | (157) ~ (e1 = e0)
% 23.30/6.24 |
% 23.30/6.24 | From (424) and (126) follows:
% 23.30/6.24 | (14459) op(e3, e2) = e0
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (95), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (399) all_0_11_11 = e3
% 23.30/6.24 |
% 23.30/6.24 | Equations (399) can reduce 204 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (204) ~ (all_0_11_11 = e3)
% 23.30/6.24 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (402), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (414) all_0_11_11 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (414) can reduce 129 to:
% 23.30/6.24 | (724) ~ (all_0_15_15 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 724 yields:
% 23.30/6.24 | (725) ~ (all_0_15_15 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Equations (414) can reduce 132 to:
% 23.30/6.24 | (4783) ~ (all_0_19_19 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 4783 yields:
% 23.30/6.24 | (456) ~ (all_0_19_19 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Equations (414) can reduce 204 to:
% 23.30/6.24 | (345) ~ (e3 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 345 yields:
% 23.30/6.24 | (111) ~ (e3 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Equations (414) can reduce 413 to:
% 23.30/6.24 | (75) ~ (e2 = e1)
% 23.30/6.24 |
% 23.30/6.24 | Equations (414) can reduce 183 to:
% 23.30/6.24 | (29) ~ (e2 = e0)
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (83), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (2225) ~ (all_0_7_7 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Equations (5666) can reduce 2225 to:
% 23.30/6.24 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (113), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (685) all_0_16_16 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (685) can reduce 688 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.24 | (689) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (689), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (282) all_0_17_17 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (282) can reduce 144 to:
% 23.30/6.24 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Equations (282) can reduce 310 to:
% 23.30/6.24 | (75) ~ (e2 = e1)
% 23.30/6.24 |
% 23.30/6.24 | From (282) and (14444) follows:
% 23.30/6.24 | (2863) op(e2, e2) = e3
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (4), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (356) all_0_21_21 = e3
% 23.30/6.24 |
% 23.30/6.24 | Equations (356) can reduce 969 to:
% 23.30/6.24 | (163) ~ (e3 = e1)
% 23.30/6.24 |
% 23.30/6.24 | Instantiating formula (152) with e2, e2, e3, e1 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e1, yields:
% 23.30/6.24 | (556) e3 = e1
% 23.30/6.24 |
% 23.30/6.24 | Equations (556) can reduce 163 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (449) ~ (all_0_21_21 = e3)
% 23.30/6.24 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (66), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (492) all_0_8_8 = e2
% 23.30/6.24 |
% 23.30/6.24 | Combining equations (492,621) yields a new equation:
% 23.30/6.24 | (966) e2 = e1
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 966 yields:
% 23.30/6.24 | (742) e2 = e1
% 23.30/6.24 |
% 23.30/6.24 | Equations (742) can reduce 75 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (198) ~ (all_0_8_8 = e2)
% 23.30/6.24 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (107), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (327) all_0_20_20 = e3
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (2231), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (385) all_0_12_12 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (385) can reduce 336 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (336) ~ (all_0_12_12 = e2)
% 23.30/6.24 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (17), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (335) all_0_20_20 = e2
% 23.30/6.24 |
% 23.30/6.24 | Combining equations (335,327) yields a new equation:
% 23.30/6.24 | (352) e3 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (352) can reduce 111 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.24 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (327) can reduce 466 to:
% 23.30/6.24 | (111) ~ (e3 = e2)
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (2235), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (685) all_0_16_16 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (685) can reduce 688 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.24 | (335) all_0_20_20 = e2
% 23.30/6.24 |
% 23.30/6.24 | Combining equations (335,327) yields a new equation:
% 23.30/6.24 | (352) e3 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (352) can reduce 111 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.24 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (355), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (356) all_0_21_21 = e3
% 23.30/6.24 |
% 23.30/6.24 | Equations (356) can reduce 449 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (449) ~ (all_0_21_21 = e3)
% 23.30/6.24 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (450), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (560) all_0_22_22 = e3
% 23.30/6.24 |
% 23.30/6.24 | Combining equations (560,583) yields a new equation:
% 23.30/6.24 | (564) e3 = e0
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 564 yields:
% 23.30/6.24 | (323) e3 = e0
% 23.30/6.24 |
% 23.30/6.24 | Equations (323) can reduce 3 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (319) ~ (all_0_22_22 = e3)
% 23.30/6.24 | (171) all_0_23_23 = e3
% 23.30/6.24 |
% 23.30/6.24 | Combining equations (179,171) yields a new equation:
% 23.30/6.24 | (556) e3 = e1
% 23.30/6.24 |
% 23.30/6.24 | Equations (556) can reduce 163 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.24 | (694) all_0_18_18 = e2 | all_0_19_19 = e2
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (66), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (492) all_0_8_8 = e2
% 23.30/6.24 |
% 23.30/6.24 | Combining equations (492,621) yields a new equation:
% 23.30/6.24 | (966) e2 = e1
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 966 yields:
% 23.30/6.24 | (742) e2 = e1
% 23.30/6.24 |
% 23.30/6.24 | Equations (742) can reduce 75 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (198) ~ (all_0_8_8 = e2)
% 23.30/6.24 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (2231), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (385) all_0_12_12 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (385) can reduce 336 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (336) ~ (all_0_12_12 = e2)
% 23.30/6.24 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (2235), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (685) all_0_16_16 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (685) can reduce 688 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.24 | (335) all_0_20_20 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (335) can reduce 963 to:
% 23.30/6.24 | (75) ~ (e2 = e1)
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (694), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (216) all_0_18_18 = e2
% 23.30/6.24 |
% 23.30/6.24 | Combining equations (220,216) yields a new equation:
% 23.30/6.24 | (742) e2 = e1
% 23.30/6.24 |
% 23.30/6.24 | Equations (742) can reduce 75 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (195) ~ (all_0_18_18 = e2)
% 23.30/6.24 | (342) all_0_19_19 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (342) can reduce 456 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (2491) all_0_7_7 = e2
% 23.30/6.24 | (6032) ~ (all_0_6_6 = e0) | ~ (all_0_8_8 = e1)
% 23.30/6.24 |
% 23.30/6.24 | Combining equations (2491,5666) yields a new equation:
% 23.30/6.24 | (685) all_0_16_16 = e2
% 23.30/6.24 |
% 23.30/6.24 | Equations (685) can reduce 144 to:
% 23.30/6.24 | (2237) ~ (all_0_17_17 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 2237 yields:
% 23.30/6.24 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Equations (685) can reduce 138 to:
% 23.30/6.24 | (4783) ~ (all_0_19_19 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 4783 yields:
% 23.30/6.24 | (456) ~ (all_0_19_19 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Equations (685) can reduce 101 to:
% 23.30/6.24 | (1813) ~ (all_0_20_20 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 1813 yields:
% 23.30/6.24 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.24 |
% 23.30/6.24 | Equations (685) can reduce 770 to:
% 23.30/6.24 | (75) ~ (e2 = e1)
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (61), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (235) all_0_9_9 = e2
% 23.30/6.24 |
% 23.30/6.24 | Combining equations (235,424) yields a new equation:
% 23.30/6.24 | (499) e2 = e0
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 499 yields:
% 23.30/6.24 | (500) e2 = e0
% 23.30/6.24 |
% 23.30/6.24 | Equations (500) can reduce 29 to:
% 23.30/6.24 | (172) $false
% 23.30/6.24 |
% 23.30/6.24 |-The branch is then unsatisfiable
% 23.30/6.24 |-Branch two:
% 23.30/6.24 | (383) ~ (all_0_9_9 = e2)
% 23.30/6.24 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 23.30/6.24 |
% 23.30/6.24 +-Applying beta-rule and splitting (133), into two cases.
% 23.30/6.24 |-Branch one:
% 23.30/6.24 | (360) all_0_17_17 = e3
% 23.30/6.24 |
% 23.30/6.24 | Equations (360) can reduce 10 to:
% 23.30/6.24 | (316) ~ (all_0_19_19 = e3)
% 23.30/6.24 |
% 23.30/6.24 | Simplifying 316 yields:
% 23.30/6.24 | (317) ~ (all_0_19_19 = e3)
% 23.30/6.24 |
% 23.30/6.24 | Equations (360) can reduce 344 to:
% 23.30/6.24 | (111) ~ (e3 = e2)
% 23.30/6.24 |
% 23.30/6.24 | From (360) and (14444) follows:
% 23.30/6.25 | (2997) op(e3, e2) = e3
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (930), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (382) all_0_13_13 = e2
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (444,382) yields a new equation:
% 23.30/6.25 | (742) e2 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (742) can reduce 75 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.25 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (6032), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (196) ~ (all_0_8_8 = e1)
% 23.30/6.25 |
% 23.30/6.25 | Equations (621) can reduce 196 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (621) all_0_8_8 = e1
% 23.30/6.25 | (6039) ~ (all_0_6_6 = e0)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (52), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (331) all_0_19_19 = e3
% 23.30/6.25 |
% 23.30/6.25 | Equations (331) can reduce 317 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (317) ~ (all_0_19_19 = e3)
% 23.30/6.25 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (65), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (399) all_0_11_11 = e3
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (399,414) yields a new equation:
% 23.30/6.25 | (511) e3 = e2
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 511 yields:
% 23.30/6.25 | (352) e3 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (352) can reduce 111 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (204) ~ (all_0_11_11 = e3)
% 23.30/6.25 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 23.30/6.25 |
% 23.30/6.25 | Equations (414) can reduce 204 to:
% 23.30/6.25 | (345) ~ (e3 = e2)
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 345 yields:
% 23.30/6.25 | (111) ~ (e3 = e2)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (70), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (327) all_0_20_20 = e3
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (91), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (322) all_0_8_8 = e0
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (322,621) yields a new equation:
% 23.30/6.25 | (543) e1 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (543) can reduce 157 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (199) ~ (all_0_8_8 = e0)
% 23.30/6.25 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (334), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (342) all_0_19_19 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (342) can reduce 456 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (456) ~ (all_0_19_19 = e2)
% 23.30/6.25 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (457), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (458) all_0_19_19 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (458) can reduce 312 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (312) ~ (all_0_19_19 = e1)
% 23.30/6.25 | (291) all_0_19_19 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (291) can reduce 89 to:
% 23.30/6.25 | (184) ~ (all_0_15_15 = e0)
% 23.30/6.25 |
% 23.30/6.25 | Equations (291) can reduce 456 to:
% 23.30/6.25 | (191) ~ (e2 = e0)
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 191 yields:
% 23.30/6.25 | (29) ~ (e2 = e0)
% 23.30/6.25 |
% 23.30/6.25 | Equations (291) can reduce 312 to:
% 23.30/6.25 | (193) ~ (e1 = e0)
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 193 yields:
% 23.30/6.25 | (157) ~ (e1 = e0)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (139), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (726) all_0_15_15 = e3
% 23.30/6.25 |
% 23.30/6.25 | Equations (726) can reduce 30 to:
% 23.30/6.25 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.25 |
% 23.30/6.25 | Equations (726) can reduce 184 to:
% 23.30/6.25 | (3) ~ (e3 = e0)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (326), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (392) all_0_12_12 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (392) can reduce 206 to:
% 23.30/6.25 | (189) ~ (e3 = e0)
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 189 yields:
% 23.30/6.25 | (3) ~ (e3 = e0)
% 23.30/6.25 |
% 23.30/6.25 | Instantiating formula (152) with e3, e2, e3, e0 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e0, yields:
% 23.30/6.25 | (323) e3 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (323) can reduce 3 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (606) ~ (all_0_12_12 = e0)
% 23.30/6.25 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (607), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (608) all_0_16_16 = e0
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (685,608) yields a new equation:
% 23.30/6.25 | (499) e2 = e0
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 499 yields:
% 23.30/6.25 | (500) e2 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (500) can reduce 29 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (612) ~ (all_0_16_16 = e0)
% 23.30/6.25 | (613) all_0_20_20 = e0
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (327,613) yields a new equation:
% 23.30/6.25 | (564) e3 = e0
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 564 yields:
% 23.30/6.25 | (323) e3 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (323) can reduce 3 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (642) ~ (all_0_15_15 = e3)
% 23.30/6.25 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (164), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (392) all_0_12_12 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (392) can reduce 30 to:
% 23.30/6.25 | (657) ~ (all_0_15_15 = e0)
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 657 yields:
% 23.30/6.25 | (184) ~ (all_0_15_15 = e0)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (729), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (752) all_0_15_15 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (752) can reduce 725 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (725) ~ (all_0_15_15 = e2)
% 23.30/6.25 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (755), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (490) all_0_15_15 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (490) can reduce 536 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (536) ~ (all_0_15_15 = e1)
% 23.30/6.25 | (270) all_0_15_15 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (270) can reduce 184 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (606) ~ (all_0_12_12 = e0)
% 23.30/6.25 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (1766), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (447) all_0_13_13 = e0
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (444,447) yields a new equation:
% 23.30/6.25 | (542) e1 = e0
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 542 yields:
% 23.30/6.25 | (543) e1 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (543) can reduce 157 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (373) ~ (all_0_13_13 = e0)
% 23.30/6.25 | (3431) all_0_14_14 = e0 | all_0_15_15 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (3431), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (529) all_0_14_14 = e0
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (522,529) yields a new equation:
% 23.30/6.25 | (499) e2 = e0
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 499 yields:
% 23.30/6.25 | (500) e2 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (500) can reduce 29 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (470) ~ (all_0_14_14 = e0)
% 23.30/6.25 | (270) all_0_15_15 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (270) can reduce 184 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.25 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (939), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (282) all_0_17_17 = e2
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (360,282) yields a new equation:
% 23.30/6.25 | (511) e3 = e2
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 511 yields:
% 23.30/6.25 | (352) e3 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (352) can reduce 111 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.25 | (510) all_0_21_21 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (510) can reduce 7 to:
% 23.30/6.25 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (330), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (335) all_0_20_20 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (335) can reduce 466 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.25 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (467), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (952) all_0_20_20 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (952) can reduce 963 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (963) ~ (all_0_20_20 = e1)
% 23.30/6.25 | (613) all_0_20_20 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (613) can reduce 186 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (315) ~ (all_0_17_17 = e3)
% 23.30/6.25 | (363) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (70), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (327) all_0_20_20 = e3
% 23.30/6.25 |
% 23.30/6.25 | Equations (327) can reduce 7 to:
% 23.30/6.25 | (1837) ~ (all_0_21_21 = e3)
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 1837 yields:
% 23.30/6.25 | (449) ~ (all_0_21_21 = e3)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (930), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (382) all_0_13_13 = e2
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (444,382) yields a new equation:
% 23.30/6.25 | (742) e2 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (742) can reduce 75 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.25 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (4), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (356) all_0_21_21 = e3
% 23.30/6.25 |
% 23.30/6.25 | Equations (356) can reduce 449 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (449) ~ (all_0_21_21 = e3)
% 23.30/6.25 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (2018), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (510) all_0_21_21 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (510) can reduce 76 to:
% 23.30/6.25 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (363), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (282) all_0_17_17 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (282) can reduce 344 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.25 | (367) all_0_17_17 = e1 | all_0_17_17 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (367), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (368) all_0_17_17 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (368) can reduce 310 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (310) ~ (all_0_17_17 = e1)
% 23.30/6.25 | (371) all_0_17_17 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (371) can reduce 1184 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (514) ~ (all_0_21_21 = e2)
% 23.30/6.25 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (939), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (282) all_0_17_17 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (282) can reduce 344 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (344) ~ (all_0_17_17 = e2)
% 23.30/6.25 | (510) all_0_21_21 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (510) can reduce 514 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.25 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (330), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (335) all_0_20_20 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (335) can reduce 466 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.25 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (467), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (952) all_0_20_20 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (952) can reduce 963 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (963) ~ (all_0_20_20 = e1)
% 23.30/6.25 | (613) all_0_20_20 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (613) can reduce 186 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (343) ~ (all_0_11_11 = e2)
% 23.30/6.25 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (417), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (418) all_0_11_11 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (418) can reduce 413 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (413) ~ (all_0_11_11 = e1)
% 23.30/6.25 | (247) all_0_11_11 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (247) can reduce 183 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (372) ~ (all_0_9_9 = e0)
% 23.30/6.25 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (63), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (322) all_0_8_8 = e0
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (322,621) yields a new equation:
% 23.30/6.25 | (543) e1 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (543) can reduce 157 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (199) ~ (all_0_8_8 = e0)
% 23.30/6.25 | (432) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (621) can reduce 199 to:
% 23.30/6.25 | (157) ~ (e1 = e0)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (69), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (338) all_0_9_9 = e3
% 23.30/6.25 |
% 23.30/6.25 | Equations (338) can reduce 202 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (202) ~ (all_0_9_9 = e3)
% 23.30/6.25 | (406) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (664), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (447) all_0_13_13 = e0
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (444,447) yields a new equation:
% 23.30/6.25 | (542) e1 = e0
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 542 yields:
% 23.30/6.25 | (543) e1 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (543) can reduce 157 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (373) ~ (all_0_13_13 = e0)
% 23.30/6.25 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (432), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (424) all_0_9_9 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (424) can reduce 372 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (372) ~ (all_0_9_9 = e0)
% 23.30/6.25 | (436) all_0_10_10 = e0 | all_0_11_11 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (406), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (235) all_0_9_9 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (235) can reduce 74 to:
% 23.30/6.25 | (2013) ~ (all_0_21_21 = e2)
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 2013 yields:
% 23.30/6.25 | (514) ~ (all_0_21_21 = e2)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (4), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (356) all_0_21_21 = e3
% 23.30/6.25 |
% 23.30/6.25 | Equations (356) can reduce 187 to:
% 23.30/6.25 | (3) ~ (e3 = e0)
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (668), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (371) all_0_17_17 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (371) can reduce 1184 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (1184) ~ (all_0_17_17 = e0)
% 23.30/6.25 | (1185) all_0_21_21 = e0
% 23.30/6.25 |
% 23.30/6.25 | Combining equations (356,1185) yields a new equation:
% 23.30/6.25 | (564) e3 = e0
% 23.30/6.25 |
% 23.30/6.25 | Simplifying 564 yields:
% 23.30/6.25 | (323) e3 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (323) can reduce 3 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (449) ~ (all_0_21_21 = e3)
% 23.30/6.25 | (2018) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (2018), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (510) all_0_21_21 = e2
% 23.30/6.25 |
% 23.30/6.25 | Equations (510) can reduce 514 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (514) ~ (all_0_21_21 = e2)
% 23.30/6.25 | (2022) all_0_21_21 = e1 | all_0_21_21 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (2022), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (554) all_0_21_21 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (554) can reduce 969 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (969) ~ (all_0_21_21 = e1)
% 23.30/6.25 | (1185) all_0_21_21 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (1185) can reduce 187 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (383) ~ (all_0_9_9 = e2)
% 23.30/6.25 | (410) all_0_9_9 = e1 | all_0_9_9 = e0
% 23.30/6.25 |
% 23.30/6.25 +-Applying beta-rule and splitting (410), into two cases.
% 23.30/6.25 |-Branch one:
% 23.30/6.25 | (411) all_0_9_9 = e1
% 23.30/6.25 |
% 23.30/6.25 | Equations (411) can reduce 423 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.25 |-Branch two:
% 23.30/6.25 | (423) ~ (all_0_9_9 = e1)
% 23.30/6.25 | (424) all_0_9_9 = e0
% 23.30/6.25 |
% 23.30/6.25 | Equations (424) can reduce 372 to:
% 23.30/6.25 | (172) $false
% 23.30/6.25 |
% 23.30/6.25 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (2086) all_0_6_6 = e2
% 23.30/6.26 | (14779) ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e1)
% 23.30/6.26 |
% 23.30/6.26 | From (2086) and (14006) follows:
% 23.30/6.26 | (14780) op(all_0_16_16, e3) = e2
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (14779), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (196) ~ (all_0_8_8 = e1)
% 23.30/6.26 |
% 23.30/6.26 | Equations (621) can reduce 196 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (621) all_0_8_8 = e1
% 23.30/6.26 | (10217) ~ (all_0_7_7 = e0)
% 23.30/6.26 |
% 23.30/6.26 | Equations (5666) can reduce 10217 to:
% 23.30/6.26 | (612) ~ (all_0_16_16 = e0)
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (91), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (322) all_0_8_8 = e0
% 23.30/6.26 |
% 23.30/6.26 | Combining equations (322,621) yields a new equation:
% 23.30/6.26 | (543) e1 = e0
% 23.30/6.26 |
% 23.30/6.26 | Equations (543) can reduce 157 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (199) ~ (all_0_8_8 = e0)
% 23.30/6.26 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (326), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (392) all_0_12_12 = e0
% 23.30/6.26 |
% 23.30/6.26 | Equations (392) can reduce 30 to:
% 23.30/6.26 | (657) ~ (all_0_15_15 = e0)
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 657 yields:
% 23.30/6.26 | (184) ~ (all_0_15_15 = e0)
% 23.30/6.26 |
% 23.30/6.26 | Equations (392) can reduce 45 to:
% 23.30/6.26 | (632) ~ (all_0_16_16 = e0)
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 632 yields:
% 23.30/6.26 | (612) ~ (all_0_16_16 = e0)
% 23.30/6.26 |
% 23.30/6.26 | Equations (392) can reduce 336 to:
% 23.30/6.26 | (191) ~ (e2 = e0)
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 191 yields:
% 23.30/6.26 | (29) ~ (e2 = e0)
% 23.30/6.26 |
% 23.30/6.26 | From (392) and (162) follows:
% 23.30/6.26 | (14411) op(e2, e3) = e0
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (139), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (726) all_0_15_15 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (726) can reduce 89 to:
% 23.30/6.26 | (316) ~ (all_0_19_19 = e3)
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 316 yields:
% 23.30/6.26 | (317) ~ (all_0_19_19 = e3)
% 23.30/6.26 |
% 23.30/6.26 | Equations (726) can reduce 725 to:
% 23.30/6.26 | (111) ~ (e3 = e2)
% 23.30/6.26 |
% 23.30/6.26 | Equations (726) can reduce 536 to:
% 23.30/6.26 | (163) ~ (e3 = e1)
% 23.30/6.26 |
% 23.30/6.26 | Equations (726) can reduce 184 to:
% 23.30/6.26 | (3) ~ (e3 = e0)
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (120), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (13399) ~ (all_0_5_5 = e3)
% 23.30/6.26 |
% 23.30/6.26 | Equations (12134) can reduce 13399 to:
% 23.30/6.26 | (315) ~ (all_0_17_17 = e3)
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (77), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (277) all_0_16_16 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (277) can reduce 101 to:
% 23.30/6.26 | (209) ~ (all_0_20_20 = e3)
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 209 yields:
% 23.30/6.26 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.26 |
% 23.30/6.26 | From (277) and (14780) follows:
% 23.30/6.26 | (2668) op(e3, e3) = e2
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (66), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (492) all_0_8_8 = e2
% 23.30/6.26 |
% 23.30/6.26 | Combining equations (492,621) yields a new equation:
% 23.30/6.26 | (966) e2 = e1
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 966 yields:
% 23.30/6.26 | (742) e2 = e1
% 23.30/6.26 |
% 23.30/6.26 | Equations (742) can reduce 75 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (198) ~ (all_0_8_8 = e2)
% 23.30/6.26 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (70), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (327) all_0_20_20 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (327) can reduce 210 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.26 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (2231), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (385) all_0_12_12 = e2
% 23.30/6.26 |
% 23.30/6.26 | Combining equations (385,392) yields a new equation:
% 23.30/6.26 | (499) e2 = e0
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 499 yields:
% 23.30/6.26 | (500) e2 = e0
% 23.30/6.26 |
% 23.30/6.26 | Equations (500) can reduce 29 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (336) ~ (all_0_12_12 = e2)
% 23.30/6.26 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (330), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (335) all_0_20_20 = e2
% 23.30/6.26 |
% 23.30/6.26 | Equations (335) can reduce 963 to:
% 23.30/6.26 | (75) ~ (e2 = e1)
% 23.30/6.26 |
% 23.30/6.26 | Instantiating formula (152) with e3, e3, e2, e1 and discharging atoms op(e3, e3) = e2, op(e3, e3) = e1, yields:
% 23.30/6.26 | (742) e2 = e1
% 23.30/6.26 |
% 23.30/6.26 | Equations (742) can reduce 75 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.26 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (17), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (335) all_0_20_20 = e2
% 23.30/6.26 |
% 23.30/6.26 | Equations (335) can reduce 466 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (466) ~ (all_0_20_20 = e2)
% 23.30/6.26 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (2235), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (685) all_0_16_16 = e2
% 23.30/6.26 |
% 23.30/6.26 | Combining equations (277,685) yields a new equation:
% 23.30/6.26 | (511) e3 = e2
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 511 yields:
% 23.30/6.26 | (352) e3 = e2
% 23.30/6.26 |
% 23.30/6.26 | Equations (352) can reduce 111 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.26 | (335) all_0_20_20 = e2
% 23.30/6.26 |
% 23.30/6.26 | Equations (335) can reduce 466 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.26 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (149), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (200) all_0_8_8 = e3
% 23.30/6.26 |
% 23.30/6.26 | Combining equations (200,621) yields a new equation:
% 23.30/6.26 | (555) e3 = e1
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 555 yields:
% 23.30/6.26 | (556) e3 = e1
% 23.30/6.26 |
% 23.30/6.26 | Equations (556) can reduce 163 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.26 | (1829) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (1829), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (254) all_0_12_12 = e3
% 23.30/6.26 |
% 23.30/6.26 | Combining equations (254,392) yields a new equation:
% 23.30/6.26 | (564) e3 = e0
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 564 yields:
% 23.30/6.26 | (323) e3 = e0
% 23.30/6.26 |
% 23.30/6.26 | Equations (323) can reduce 3 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.26 | (2092) all_0_16_16 = e3 | all_0_20_20 = e3
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (97), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (277) all_0_16_16 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (277) can reduce 208 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.26 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (1015), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (360) all_0_17_17 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (360) can reduce 315 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (315) ~ (all_0_17_17 = e3)
% 23.30/6.26 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (2092), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (277) all_0_16_16 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (277) can reduce 208 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.26 | (327) all_0_20_20 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (327) can reduce 963 to:
% 23.30/6.26 | (163) ~ (e3 = e1)
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (151), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (338) all_0_9_9 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (338) can reduce 202 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (202) ~ (all_0_9_9 = e3)
% 23.30/6.26 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (52), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (331) all_0_19_19 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (331) can reduce 317 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (317) ~ (all_0_19_19 = e3)
% 23.30/6.26 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (341), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (347) all_0_13_13 = e3
% 23.30/6.26 |
% 23.30/6.26 | Combining equations (347,444) yields a new equation:
% 23.30/6.26 | (555) e3 = e1
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 555 yields:
% 23.30/6.26 | (556) e3 = e1
% 23.30/6.26 |
% 23.30/6.26 | Equations (556) can reduce 163 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (337) ~ (all_0_13_13 = e3)
% 23.30/6.26 | (350) all_0_17_17 = e3 | all_0_21_21 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (444) can reduce 337 to:
% 23.30/6.26 | (313) ~ (e3 = e1)
% 23.30/6.26 |
% 23.30/6.26 | Simplifying 313 yields:
% 23.30/6.26 | (163) ~ (e3 = e1)
% 23.30/6.26 |
% 23.30/6.26 +-Applying beta-rule and splitting (1031), into two cases.
% 23.30/6.26 |-Branch one:
% 23.30/6.26 | (212) all_0_18_18 = e3
% 23.30/6.26 |
% 23.30/6.26 | Combining equations (220,212) yields a new equation:
% 23.30/6.26 | (556) e3 = e1
% 23.30/6.26 |
% 23.30/6.26 | Equations (556) can reduce 163 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (211) ~ (all_0_18_18 = e3)
% 23.30/6.26 | (331) all_0_19_19 = e3
% 23.30/6.26 |
% 23.30/6.26 | Equations (331) can reduce 317 to:
% 23.30/6.26 | (172) $false
% 23.30/6.26 |
% 23.30/6.26 |-The branch is then unsatisfiable
% 23.30/6.26 |-Branch two:
% 23.30/6.26 | (13393) all_0_5_5 = e3
% 23.30/6.27 | (13402) ~ (all_0_4_4 = e0) | ~ (all_0_13_13 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Combining equations (13393,12134) yields a new equation:
% 23.30/6.27 | (360) all_0_17_17 = e3
% 23.30/6.27 |
% 23.30/6.27 | Equations (360) can reduce 144 to:
% 23.30/6.27 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Equations (360) can reduce 10 to:
% 23.30/6.27 | (316) ~ (all_0_19_19 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 316 yields:
% 23.30/6.27 | (317) ~ (all_0_19_19 = e3)
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (97), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (277) all_0_16_16 = e3
% 23.30/6.27 |
% 23.30/6.27 | Equations (277) can reduce 208 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (208) ~ (all_0_16_16 = e3)
% 23.30/6.27 | (1810) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (1810), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (685) all_0_16_16 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (685) can reduce 138 to:
% 23.30/6.27 | (4783) ~ (all_0_19_19 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 4783 yields:
% 23.30/6.27 | (456) ~ (all_0_19_19 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Equations (685) can reduce 208 to:
% 23.30/6.27 | (345) ~ (e3 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 345 yields:
% 23.30/6.27 | (111) ~ (e3 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Equations (685) can reduce 770 to:
% 23.30/6.27 | (75) ~ (e2 = e1)
% 23.30/6.27 |
% 23.30/6.27 | From (685) and (14780) follows:
% 23.30/6.27 | (2595) op(e2, e3) = e2
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (52), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (331) all_0_19_19 = e3
% 23.30/6.27 |
% 23.30/6.27 | Equations (331) can reduce 317 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (317) ~ (all_0_19_19 = e3)
% 23.30/6.27 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (9), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (414) all_0_11_11 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (414) can reduce 132 to:
% 23.30/6.27 | (4783) ~ (all_0_19_19 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 4783 yields:
% 23.30/6.27 | (456) ~ (all_0_19_19 = e2)
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (334), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (342) all_0_19_19 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (342) can reduce 456 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (456) ~ (all_0_19_19 = e2)
% 23.30/6.27 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (457), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (458) all_0_19_19 = e1
% 23.30/6.27 |
% 23.30/6.27 | Equations (458) can reduce 312 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (312) ~ (all_0_19_19 = e1)
% 23.30/6.27 | (291) all_0_19_19 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (291) can reduce 456 to:
% 23.30/6.27 | (191) ~ (e2 = e0)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 191 yields:
% 23.30/6.27 | (29) ~ (e2 = e0)
% 23.30/6.27 |
% 23.30/6.27 | Instantiating formula (152) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 23.30/6.27 | (500) e2 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (500) can reduce 29 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (343) ~ (all_0_11_11 = e2)
% 23.30/6.27 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (1762), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (752) all_0_15_15 = e2
% 23.30/6.27 |
% 23.30/6.27 | Combining equations (726,752) yields a new equation:
% 23.30/6.27 | (511) e3 = e2
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 511 yields:
% 23.30/6.27 | (352) e3 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (352) can reduce 111 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (725) ~ (all_0_15_15 = e2)
% 23.30/6.27 | (3443) all_0_19_19 = e2 | all_0_23_23 = e2
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (3443), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (342) all_0_19_19 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (342) can reduce 456 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (456) ~ (all_0_19_19 = e2)
% 23.30/6.27 | (175) all_0_23_23 = e2
% 23.30/6.27 |
% 23.30/6.27 | Combining equations (179,175) yields a new equation:
% 23.30/6.27 | (742) e2 = e1
% 23.30/6.27 |
% 23.30/6.27 | Equations (742) can reduce 75 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (688) ~ (all_0_16_16 = e2)
% 23.30/6.27 | (2108) all_0_16_16 = e1 | all_0_16_16 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (2108), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (305) all_0_16_16 = e1
% 23.30/6.27 |
% 23.30/6.27 | Equations (305) can reduce 770 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (770) ~ (all_0_16_16 = e1)
% 23.30/6.27 | (608) all_0_16_16 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (608) can reduce 612 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (642) ~ (all_0_15_15 = e3)
% 23.30/6.27 | (729) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (729), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (752) all_0_15_15 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (752) can reduce 725 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (725) ~ (all_0_15_15 = e2)
% 23.30/6.27 | (755) all_0_15_15 = e1 | all_0_15_15 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (755), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (490) all_0_15_15 = e1
% 23.30/6.27 |
% 23.30/6.27 | Equations (490) can reduce 536 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (536) ~ (all_0_15_15 = e1)
% 23.30/6.27 | (270) all_0_15_15 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (270) can reduce 184 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (606) ~ (all_0_12_12 = e0)
% 23.30/6.27 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (607), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (608) all_0_16_16 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (608) can reduce 612 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (612) ~ (all_0_16_16 = e0)
% 23.30/6.27 | (613) all_0_20_20 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (613) can reduce 186 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (196) ~ (all_0_8_8 = e1)
% 23.30/6.27 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (47), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (621) all_0_8_8 = e1
% 23.30/6.27 |
% 23.30/6.27 | Equations (621) can reduce 196 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (196) ~ (all_0_8_8 = e1)
% 23.30/6.27 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (616), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (492) all_0_8_8 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (492) can reduce 198 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (198) ~ (all_0_8_8 = e2)
% 23.30/6.27 | (620) all_0_8_8 = e1 | all_0_8_8 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (620), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (621) all_0_8_8 = e1
% 23.30/6.27 |
% 23.30/6.27 | Equations (621) can reduce 196 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (196) ~ (all_0_8_8 = e1)
% 23.30/6.27 | (322) all_0_8_8 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (322) can reduce 199 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.27 | (864) all_0_22_22 = e1
% 23.30/6.27 |
% 23.30/6.27 | Combining equations (583,864) yields a new equation:
% 23.30/6.27 | (543) e1 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (543) can reduce 157 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (322) all_0_8_8 = e0
% 23.30/6.27 | (399) all_0_11_11 = e3
% 23.30/6.27 |
% 23.30/6.27 | Equations (399) can reduce 204 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (306) ~ (all_0_10_10 = e3)
% 23.30/6.27 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (215), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (216) all_0_18_18 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (216) can reduce 195 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (195) ~ (all_0_18_18 = e2)
% 23.30/6.27 | (219) all_0_18_18 = e1 | all_0_18_18 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (219), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (220) all_0_18_18 = e1
% 23.30/6.27 |
% 23.30/6.27 | Equations (220) can reduce 211 to:
% 23.30/6.27 | (313) ~ (e3 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 313 yields:
% 23.30/6.27 | (163) ~ (e3 = e1)
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (698), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (516) all_0_14_14 = e3
% 23.30/6.27 |
% 23.30/6.27 | Combining equations (522,516) yields a new equation:
% 23.30/6.27 | (352) e3 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (352) can reduce 111 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (308) ~ (all_0_14_14 = e3)
% 23.30/6.27 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (703), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (212) all_0_18_18 = e3
% 23.30/6.27 |
% 23.30/6.27 | Combining equations (212,220) yields a new equation:
% 23.30/6.27 | (555) e3 = e1
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 555 yields:
% 23.30/6.27 | (556) e3 = e1
% 23.30/6.27 |
% 23.30/6.27 | Equations (556) can reduce 163 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (211) ~ (all_0_18_18 = e3)
% 23.30/6.27 | (560) all_0_22_22 = e3
% 23.30/6.27 |
% 23.30/6.27 | Combining equations (583,560) yields a new equation:
% 23.30/6.27 | (323) e3 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (323) can reduce 3 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (275) ~ (all_0_18_18 = e1)
% 23.30/6.27 | (302) all_0_18_18 = e0
% 23.30/6.27 |
% 23.30/6.27 | Equations (302) can reduce 197 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (212) all_0_18_18 = e3
% 23.30/6.27 | (305) all_0_16_16 = e1
% 23.30/6.27 |
% 23.30/6.27 | Equations (305) can reduce 121 to:
% 23.30/6.27 | (196) ~ (all_0_8_8 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Equations (305) can reduce 45 to:
% 23.30/6.27 | (307) ~ (all_0_12_12 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Equations (305,212) can reduce 28 to:
% 23.30/6.27 | (313) ~ (e3 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 313 yields:
% 23.30/6.27 | (163) ~ (e3 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Equations (305) can reduce 138 to:
% 23.30/6.27 | (311) ~ (all_0_19_19 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 311 yields:
% 23.30/6.27 | (312) ~ (all_0_19_19 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Equations (305) can reduce 101 to:
% 23.30/6.27 | (2141) ~ (all_0_20_20 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 2141 yields:
% 23.30/6.27 | (963) ~ (all_0_20_20 = e1)
% 23.30/6.27 |
% 23.30/6.27 | Equations (212) can reduce 43 to:
% 23.30/6.27 | (316) ~ (all_0_19_19 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 316 yields:
% 23.30/6.27 | (317) ~ (all_0_19_19 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Equations (212) can reduce 197 to:
% 23.30/6.27 | (3) ~ (e3 = e0)
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (37), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (200) all_0_8_8 = e3
% 23.30/6.27 |
% 23.30/6.27 | Equations (200) can reduce 116 to:
% 23.30/6.27 | (201) ~ (all_0_9_9 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 201 yields:
% 23.30/6.27 | (202) ~ (all_0_9_9 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Equations (200) can reduce 24 to:
% 23.30/6.27 | (1214) ~ (all_0_10_10 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 1214 yields:
% 23.30/6.27 | (306) ~ (all_0_10_10 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Equations (200) can reduce 124 to:
% 23.30/6.27 | (203) ~ (all_0_11_11 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 203 yields:
% 23.30/6.27 | (204) ~ (all_0_11_11 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Equations (200) can reduce 158 to:
% 23.30/6.27 | (205) ~ (all_0_12_12 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 205 yields:
% 23.30/6.27 | (206) ~ (all_0_12_12 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Equations (200) can reduce 125 to:
% 23.30/6.27 | (209) ~ (all_0_20_20 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 209 yields:
% 23.30/6.27 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.27 |
% 23.30/6.27 | Equations (200) can reduce 198 to:
% 23.30/6.27 | (111) ~ (e3 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Equations (200) can reduce 196 to:
% 23.30/6.27 | (163) ~ (e3 = e1)
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (70), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (327) all_0_20_20 = e3
% 23.30/6.27 |
% 23.30/6.27 | Equations (327) can reduce 210 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (210) ~ (all_0_20_20 = e3)
% 23.30/6.27 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (330), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (335) all_0_20_20 = e2
% 23.30/6.27 |
% 23.30/6.27 | Equations (335) can reduce 7 to:
% 23.30/6.27 | (2013) ~ (all_0_21_21 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 2013 yields:
% 23.30/6.27 | (514) ~ (all_0_21_21 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Equations (335) can reduce 210 to:
% 23.30/6.27 | (345) ~ (e3 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Simplifying 345 yields:
% 23.30/6.27 | (111) ~ (e3 = e2)
% 23.30/6.27 |
% 23.30/6.27 | Equations (335) can reduce 963 to:
% 23.30/6.27 | (75) ~ (e2 = e1)
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (50), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (695) all_0_10_10 = e3
% 23.30/6.27 |
% 23.30/6.27 | Equations (695) can reduce 306 to:
% 23.30/6.27 | (172) $false
% 23.30/6.27 |
% 23.30/6.27 |-The branch is then unsatisfiable
% 23.30/6.27 |-Branch two:
% 23.30/6.27 | (306) ~ (all_0_10_10 = e3)
% 23.30/6.27 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 23.30/6.27 |
% 23.30/6.27 +-Applying beta-rule and splitting (99), into two cases.
% 23.30/6.27 |-Branch one:
% 23.30/6.27 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.30/6.28 |
% 23.30/6.28 +-Applying beta-rule and splitting (223), into two cases.
% 23.30/6.28 |-Branch one:
% 23.30/6.28 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.30/6.28 |
% 23.30/6.28 +-Applying beta-rule and splitting (224), into two cases.
% 23.30/6.28 |-Branch one:
% 23.30/6.28 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.30/6.28 |
% 23.30/6.28 +-Applying beta-rule and splitting (225), into two cases.
% 23.30/6.28 |-Branch one:
% 23.30/6.28 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.30/6.28 |
% 23.30/6.28 +-Applying beta-rule and splitting (226), into two cases.
% 23.30/6.28 |-Branch one:
% 23.30/6.28 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.30/6.28 |
% 23.30/6.28 +-Applying beta-rule and splitting (227), into two cases.
% 23.30/6.28 |-Branch one:
% 23.30/6.28 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.30/6.28 |
% 23.30/6.28 +-Applying beta-rule and splitting (228), into two cases.
% 23.30/6.28 |-Branch one:
% 23.30/6.28 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.30/6.28 |
% 23.30/6.28 +-Applying beta-rule and splitting (229), into two cases.
% 23.30/6.28 |-Branch one:
% 23.30/6.28 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.30/6.28 |
% 23.30/6.28 +-Applying beta-rule and splitting (230), into two cases.
% 23.30/6.28 |-Branch one:
% 23.30/6.28 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.30/6.28 |
% 23.30/6.28 | Applying alpha-rule on (231) yields:
% 23.30/6.28 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.28 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.30/6.28 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.30/6.28 | (235) all_0_9_9 = e2
% 23.30/6.28 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.30/6.28 |
% 23.30/6.28 | Equations (200) can reduce 232 to:
% 23.30/6.28 | (172) $false
% 23.30/6.28 |
% 23.30/6.28 |-The branch is then unsatisfiable
% 23.30/6.28 |-Branch two:
% 23.30/6.28 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.30/6.28 |
% 23.30/6.28 | Applying alpha-rule on (238) yields:
% 23.30/6.28 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.28 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.30/6.28 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.30/6.28 | (242) all_0_10_10 = e1
% 23.30/6.28 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.30/6.28 |
% 23.30/6.28 | Equations (200) can reduce 232 to:
% 23.30/6.28 | (172) $false
% 23.30/6.28 |
% 23.30/6.28 |-The branch is then unsatisfiable
% 23.30/6.28 |-Branch two:
% 23.30/6.28 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.30/6.28 |
% 23.30/6.28 | Applying alpha-rule on (245) yields:
% 23.30/6.28 | (232) ~ (all_0_8_8 = e3)
% 23.30/6.28 | (247) all_0_11_11 = e0
% 23.30/6.28 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.30/6.28 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.30/6.28 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.30/6.28 |
% 23.30/6.28 | Equations (200) can reduce 232 to:
% 23.30/6.28 | (172) $false
% 23.30/6.28 |
% 23.30/6.28 |-The branch is then unsatisfiable
% 23.30/6.28 |-Branch two:
% 23.30/6.28 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.30/6.28 |
% 23.30/6.28 | Applying alpha-rule on (252) yields:
% 23.30/6.28 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.28 | (254) all_0_12_12 = e3
% 23.30/6.28 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.30/6.28 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.30/6.28 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.30/6.28 |
% 23.30/6.28 | Equations (254) can reduce 206 to:
% 23.30/6.28 | (172) $false
% 23.30/6.28 |
% 23.30/6.28 |-The branch is then unsatisfiable
% 23.30/6.28 |-Branch two:
% 23.30/6.28 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.30/6.28 |
% 23.30/6.28 | Applying alpha-rule on (259) yields:
% 23.30/6.28 | (253) ~ (all_0_13_13 = e2)
% 23.30/6.28 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.30/6.28 | (262) all_0_14_14 = e1
% 23.30/6.28 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.30/6.28 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.30/6.28 |
% 23.30/6.28 | Combining equations (522,262) yields a new equation:
% 23.30/6.28 | (966) e2 = e1
% 23.30/6.28 |
% 23.30/6.28 | Simplifying 966 yields:
% 23.30/6.28 | (742) e2 = e1
% 23.30/6.28 |
% 23.30/6.28 | Equations (742) can reduce 75 to:
% 23.30/6.28 | (172) $false
% 23.30/6.28 |
% 23.30/6.28 |-The branch is then unsatisfiable
% 23.30/6.28 |-Branch two:
% 23.45/6.28 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.45/6.28 |
% 23.45/6.28 | Applying alpha-rule on (266) yields:
% 23.45/6.28 | (253) ~ (all_0_13_13 = e2)
% 23.45/6.28 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.45/6.28 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.45/6.28 | (270) all_0_15_15 = e0
% 23.45/6.28 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.45/6.28 |
% 23.45/6.28 | Equations (270) can reduce 89 to:
% 23.45/6.28 | (675) ~ (all_0_19_19 = e0)
% 23.45/6.28 |
% 23.45/6.28 | Simplifying 675 yields:
% 23.45/6.28 | (185) ~ (all_0_19_19 = e0)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (52), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (331) all_0_19_19 = e3
% 23.45/6.28 |
% 23.45/6.28 | Equations (331) can reduce 317 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (317) ~ (all_0_19_19 = e3)
% 23.45/6.28 | (334) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (334), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (342) all_0_19_19 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (342) can reduce 10 to:
% 23.45/6.28 | (344) ~ (all_0_17_17 = e2)
% 23.45/6.28 |
% 23.45/6.28 | Equations (342) can reduce 312 to:
% 23.45/6.28 | (75) ~ (e2 = e1)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (61), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (235) all_0_9_9 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (235) can reduce 202 to:
% 23.45/6.28 | (345) ~ (e3 = e2)
% 23.45/6.28 |
% 23.45/6.28 | Simplifying 345 yields:
% 23.45/6.28 | (111) ~ (e3 = e2)
% 23.45/6.28 |
% 23.45/6.28 | Equations (235) can reduce 423 to:
% 23.45/6.28 | (75) ~ (e2 = e1)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (47), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (621) all_0_8_8 = e1
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (621,200) yields a new equation:
% 23.45/6.28 | (556) e3 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (556) can reduce 163 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (196) ~ (all_0_8_8 = e1)
% 23.45/6.28 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (751), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (411) all_0_9_9 = e1
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (411,235) yields a new equation:
% 23.45/6.28 | (742) e2 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (742) can reduce 75 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (423) ~ (all_0_9_9 = e1)
% 23.45/6.28 | (900) all_0_10_10 = e1 | all_0_11_11 = e1
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (900), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (242) all_0_10_10 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (242) can reduce 306 to:
% 23.45/6.28 | (313) ~ (e3 = e1)
% 23.45/6.28 |
% 23.45/6.28 | Simplifying 313 yields:
% 23.45/6.28 | (163) ~ (e3 = e1)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (65), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (399) all_0_11_11 = e3
% 23.45/6.28 |
% 23.45/6.28 | Equations (399) can reduce 204 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (204) ~ (all_0_11_11 = e3)
% 23.45/6.28 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (151), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (338) all_0_9_9 = e3
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (338,235) yields a new equation:
% 23.45/6.28 | (511) e3 = e2
% 23.45/6.28 |
% 23.45/6.28 | Simplifying 511 yields:
% 23.45/6.28 | (352) e3 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (352) can reduce 111 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (202) ~ (all_0_9_9 = e3)
% 23.45/6.28 | (341) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 23.45/6.28 |
% 23.45/6.28 | Equations (235) can reduce 202 to:
% 23.45/6.28 | (345) ~ (e3 = e2)
% 23.45/6.28 |
% 23.45/6.28 | Simplifying 345 yields:
% 23.45/6.28 | (111) ~ (e3 = e2)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (1358), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (726) all_0_15_15 = e3
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (270,726) yields a new equation:
% 23.45/6.28 | (323) e3 = e0
% 23.45/6.28 |
% 23.45/6.28 | Equations (323) can reduce 3 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (642) ~ (all_0_15_15 = e3)
% 23.45/6.28 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (8093), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (331) all_0_19_19 = e3
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (342,331) yields a new equation:
% 23.45/6.28 | (352) e3 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (352) can reduce 111 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (317) ~ (all_0_19_19 = e3)
% 23.45/6.28 | (171) all_0_23_23 = e3
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (179,171) yields a new equation:
% 23.45/6.28 | (556) e3 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (556) can reduce 163 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (221) ~ (all_0_10_10 = e1)
% 23.45/6.28 | (418) all_0_11_11 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (418) can reduce 413 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (383) ~ (all_0_9_9 = e2)
% 23.45/6.28 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (930), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (382) all_0_13_13 = e2
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (382,444) yields a new equation:
% 23.45/6.28 | (966) e2 = e1
% 23.45/6.28 |
% 23.45/6.28 | Simplifying 966 yields:
% 23.45/6.28 | (742) e2 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (742) can reduce 75 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (253) ~ (all_0_13_13 = e2)
% 23.45/6.28 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (939), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (282) all_0_17_17 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (282) can reduce 344 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (344) ~ (all_0_17_17 = e2)
% 23.45/6.28 | (510) all_0_21_21 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (510) can reduce 514 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (456) ~ (all_0_19_19 = e2)
% 23.45/6.28 | (457) all_0_19_19 = e1 | all_0_19_19 = e0
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (457), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (458) all_0_19_19 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (458) can reduce 312 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (312) ~ (all_0_19_19 = e1)
% 23.45/6.28 | (291) all_0_19_19 = e0
% 23.45/6.28 |
% 23.45/6.28 | Equations (291) can reduce 185 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.45/6.28 |
% 23.45/6.28 | Applying alpha-rule on (273) yields:
% 23.45/6.28 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.45/6.28 | (275) ~ (all_0_18_18 = e1)
% 23.45/6.28 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.45/6.28 | (277) all_0_16_16 = e3
% 23.45/6.28 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (305,277) yields a new equation:
% 23.45/6.28 | (556) e3 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (556) can reduce 163 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.45/6.28 |
% 23.45/6.28 | Applying alpha-rule on (280) yields:
% 23.45/6.28 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.45/6.28 | (282) all_0_17_17 = e2
% 23.45/6.28 | (275) ~ (all_0_18_18 = e1)
% 23.45/6.28 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.45/6.28 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (274), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (167) ~ (all_0_13_13 = e1)
% 23.45/6.28 |
% 23.45/6.28 | Equations (444) can reduce 167 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (444) all_0_13_13 = e1
% 23.45/6.28 | (521) ~ (all_0_14_14 = e2)
% 23.45/6.28 |
% 23.45/6.28 | Equations (522) can reduce 521 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.45/6.28 |
% 23.45/6.28 | Applying alpha-rule on (287) yields:
% 23.45/6.28 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.45/6.28 | (275) ~ (all_0_18_18 = e1)
% 23.45/6.28 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.45/6.28 | (291) all_0_19_19 = e0
% 23.45/6.28 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (276), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (168) ~ (all_0_23_23 = e1)
% 23.45/6.28 |
% 23.45/6.28 | Equations (179) can reduce 168 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (179) all_0_23_23 = e1
% 23.45/6.28 | (188) ~ (all_0_22_22 = e0)
% 23.45/6.28 |
% 23.45/6.28 | Equations (583) can reduce 188 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 23.45/6.28 |
% 23.45/6.28 | Applying alpha-rule on (294) yields:
% 23.45/6.28 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 23.45/6.28 | (296) ~ (all_0_23_23 = e0)
% 23.45/6.28 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 23.45/6.28 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 23.45/6.28 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 23.45/6.28 |
% 23.45/6.28 | Equations (179) can reduce 296 to:
% 23.45/6.28 | (157) ~ (e1 = e0)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (295), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (327) all_0_20_20 = e3
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (327,335) yields a new equation:
% 23.45/6.28 | (511) e3 = e2
% 23.45/6.28 |
% 23.45/6.28 | Simplifying 511 yields:
% 23.45/6.28 | (352) e3 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (352) can reduce 111 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (210) ~ (all_0_20_20 = e3)
% 23.45/6.28 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (4710), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (510) all_0_21_21 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (510) can reduce 514 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (514) ~ (all_0_21_21 = e2)
% 23.45/6.28 | (864) all_0_22_22 = e1
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (583,864) yields a new equation:
% 23.45/6.28 | (543) e1 = e0
% 23.45/6.28 |
% 23.45/6.28 | Equations (543) can reduce 157 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (466) ~ (all_0_20_20 = e2)
% 23.45/6.28 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (47), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (621) all_0_8_8 = e1
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (200,621) yields a new equation:
% 23.45/6.28 | (555) e3 = e1
% 23.45/6.28 |
% 23.45/6.28 | Simplifying 555 yields:
% 23.45/6.28 | (556) e3 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (556) can reduce 163 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (196) ~ (all_0_8_8 = e1)
% 23.45/6.28 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (200) can reduce 196 to:
% 23.45/6.28 | (163) ~ (e3 = e1)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (17), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (335) all_0_20_20 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (335) can reduce 466 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (466) ~ (all_0_20_20 = e2)
% 23.45/6.28 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (165), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (254) all_0_12_12 = e3
% 23.45/6.28 |
% 23.45/6.28 | Equations (254) can reduce 206 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (206) ~ (all_0_12_12 = e3)
% 23.45/6.28 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (78), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (254) all_0_12_12 = e3
% 23.45/6.28 |
% 23.45/6.28 | Equations (254) can reduce 206 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (206) ~ (all_0_12_12 = e3)
% 23.45/6.28 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (714), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (347) all_0_13_13 = e3
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (347,444) yields a new equation:
% 23.45/6.28 | (555) e3 = e1
% 23.45/6.28 |
% 23.45/6.28 | Simplifying 555 yields:
% 23.45/6.28 | (556) e3 = e1
% 23.45/6.28 |
% 23.45/6.28 | Equations (556) can reduce 163 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (337) ~ (all_0_13_13 = e3)
% 23.45/6.28 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (1007), into two cases.
% 23.45/6.28 |-Branch one:
% 23.45/6.28 | (516) all_0_14_14 = e3
% 23.45/6.28 |
% 23.45/6.28 | Combining equations (522,516) yields a new equation:
% 23.45/6.28 | (352) e3 = e2
% 23.45/6.28 |
% 23.45/6.28 | Equations (352) can reduce 111 to:
% 23.45/6.28 | (172) $false
% 23.45/6.28 |
% 23.45/6.28 |-The branch is then unsatisfiable
% 23.45/6.28 |-Branch two:
% 23.45/6.28 | (308) ~ (all_0_14_14 = e3)
% 23.45/6.28 | (726) all_0_15_15 = e3
% 23.45/6.28 |
% 23.45/6.28 | Equations (726) can reduce 725 to:
% 23.45/6.28 | (111) ~ (e3 = e2)
% 23.45/6.28 |
% 23.45/6.28 +-Applying beta-rule and splitting (381), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (385) all_0_12_12 = e2
% 23.45/6.29 |
% 23.45/6.29 | Equations (385) can reduce 336 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (336) ~ (all_0_12_12 = e2)
% 23.45/6.29 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (388), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (389) all_0_12_12 = e1
% 23.45/6.29 |
% 23.45/6.29 | Equations (389) can reduce 307 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (307) ~ (all_0_12_12 = e1)
% 23.45/6.29 | (392) all_0_12_12 = e0
% 23.45/6.29 |
% 23.45/6.29 | Equations (392) can reduce 336 to:
% 23.45/6.29 | (191) ~ (e2 = e0)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 191 yields:
% 23.45/6.29 | (29) ~ (e2 = e0)
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (66), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (492) all_0_8_8 = e2
% 23.45/6.29 |
% 23.45/6.29 | Combining equations (492,200) yields a new equation:
% 23.45/6.29 | (352) e3 = e2
% 23.45/6.29 |
% 23.45/6.29 | Equations (352) can reduce 111 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (198) ~ (all_0_8_8 = e2)
% 23.45/6.29 | (2231) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (2231), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (385) all_0_12_12 = e2
% 23.45/6.29 |
% 23.45/6.29 | Combining equations (385,392) yields a new equation:
% 23.45/6.29 | (499) e2 = e0
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 499 yields:
% 23.45/6.29 | (500) e2 = e0
% 23.45/6.29 |
% 23.45/6.29 | Equations (500) can reduce 29 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (336) ~ (all_0_12_12 = e2)
% 23.45/6.29 | (2235) all_0_16_16 = e2 | all_0_20_20 = e2
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (2235), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (685) all_0_16_16 = e2
% 23.45/6.29 |
% 23.45/6.29 | Combining equations (305,685) yields a new equation:
% 23.45/6.29 | (742) e2 = e1
% 23.45/6.29 |
% 23.45/6.29 | Equations (742) can reduce 75 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (688) ~ (all_0_16_16 = e2)
% 23.45/6.29 | (335) all_0_20_20 = e2
% 23.45/6.29 |
% 23.45/6.29 | Equations (335) can reduce 466 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (232) ~ (all_0_8_8 = e3)
% 23.45/6.29 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (4875), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (382) all_0_13_13 = e2
% 23.45/6.29 |
% 23.45/6.29 | Combining equations (444,382) yields a new equation:
% 23.45/6.29 | (742) e2 = e1
% 23.45/6.29 |
% 23.45/6.29 | Equations (742) can reduce 75 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (253) ~ (all_0_13_13 = e2)
% 23.45/6.29 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (4885), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (220) all_0_18_18 = e1
% 23.45/6.29 |
% 23.45/6.29 | Combining equations (212,220) yields a new equation:
% 23.45/6.29 | (555) e3 = e1
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 555 yields:
% 23.45/6.29 | (556) e3 = e1
% 23.45/6.29 |
% 23.45/6.29 | Equations (556) can reduce 163 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (275) ~ (all_0_18_18 = e1)
% 23.45/6.29 | (182) all_0_23_23 = e0
% 23.45/6.29 |
% 23.45/6.29 | Combining equations (182,179) yields a new equation:
% 23.45/6.29 | (543) e1 = e0
% 23.45/6.29 |
% 23.45/6.29 | Equations (543) can reduce 157 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (492) all_0_8_8 = e2
% 23.45/6.29 | (338) all_0_9_9 = e3
% 23.45/6.29 |
% 23.45/6.29 | Equations (492,338) can reduce 116 to:
% 23.45/6.29 | (345) ~ (e3 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 345 yields:
% 23.45/6.29 | (111) ~ (e3 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (492) can reduce 24 to:
% 23.45/6.29 | (1208) ~ (all_0_10_10 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 1208 yields:
% 23.45/6.29 | (985) ~ (all_0_10_10 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (492) can reduce 124 to:
% 23.45/6.29 | (1210) ~ (all_0_11_11 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 1210 yields:
% 23.45/6.29 | (343) ~ (all_0_11_11 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (492) can reduce 158 to:
% 23.45/6.29 | (1212) ~ (all_0_12_12 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 1212 yields:
% 23.45/6.29 | (336) ~ (all_0_12_12 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (492) can reduce 125 to:
% 23.45/6.29 | (1813) ~ (all_0_20_20 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 1813 yields:
% 23.45/6.29 | (466) ~ (all_0_20_20 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (338) can reduce 166 to:
% 23.45/6.29 | (1214) ~ (all_0_10_10 = e3)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 1214 yields:
% 23.45/6.29 | (306) ~ (all_0_10_10 = e3)
% 23.45/6.29 |
% 23.45/6.29 | Equations (338) can reduce 54 to:
% 23.45/6.29 | (203) ~ (all_0_11_11 = e3)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 203 yields:
% 23.45/6.29 | (204) ~ (all_0_11_11 = e3)
% 23.45/6.29 |
% 23.45/6.29 | Equations (338) can reduce 136 to:
% 23.45/6.29 | (2518) ~ (all_0_17_17 = e3)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 2518 yields:
% 23.45/6.29 | (315) ~ (all_0_17_17 = e3)
% 23.45/6.29 |
% 23.45/6.29 | Equations (338) can reduce 423 to:
% 23.45/6.29 | (163) ~ (e3 = e1)
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (109), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (169) ~ (all_0_23_23 = e2)
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (17), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (335) all_0_20_20 = e2
% 23.45/6.29 |
% 23.45/6.29 | Equations (335) can reduce 466 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (466) ~ (all_0_20_20 = e2)
% 23.45/6.29 | (509) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (9), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (414) all_0_11_11 = e2
% 23.45/6.29 |
% 23.45/6.29 | Equations (414) can reduce 343 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (343) ~ (all_0_11_11 = e2)
% 23.45/6.29 | (1762) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (509), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (510) all_0_21_21 = e2
% 23.45/6.29 |
% 23.45/6.29 | Equations (510) can reduce 7 to:
% 23.45/6.29 | (466) ~ (all_0_20_20 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (510) can reduce 150 to:
% 23.45/6.29 | (2581) ~ (all_0_22_22 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 2581 yields:
% 23.45/6.29 | (531) ~ (all_0_22_22 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (510) can reduce 31 to:
% 23.45/6.29 | (12173) ~ (all_0_23_23 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 12173 yields:
% 23.45/6.29 | (169) ~ (all_0_23_23 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (510) can reduce 969 to:
% 23.45/6.29 | (75) ~ (e2 = e1)
% 23.45/6.29 |
% 23.45/6.29 | From (510) and (100) follows:
% 23.45/6.29 | (15338) op(e0, e2) = e2
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (34), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (424) all_0_9_9 = e0
% 23.45/6.29 |
% 23.45/6.29 | Combining equations (338,424) yields a new equation:
% 23.45/6.29 | (564) e3 = e0
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 564 yields:
% 23.45/6.29 | (323) e3 = e0
% 23.45/6.29 |
% 23.45/6.29 | Equations (323) can reduce 3 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (372) ~ (all_0_9_9 = e0)
% 23.45/6.29 | (664) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (664), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (447) all_0_13_13 = e0
% 23.45/6.29 |
% 23.45/6.29 | Combining equations (447,444) yields a new equation:
% 23.45/6.29 | (543) e1 = e0
% 23.45/6.29 |
% 23.45/6.29 | Equations (543) can reduce 157 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (373) ~ (all_0_13_13 = e0)
% 23.45/6.29 | (668) all_0_17_17 = e0 | all_0_21_21 = e0
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (668), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (371) all_0_17_17 = e0
% 23.45/6.29 |
% 23.45/6.29 | Combining equations (371,12134) yields a new equation:
% 23.45/6.29 | (15351) all_0_5_5 = e0
% 23.45/6.29 |
% 23.45/6.29 | Equations (371) can reduce 80 to:
% 23.45/6.29 | (673) ~ (all_0_18_18 = e0)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 673 yields:
% 23.45/6.29 | (197) ~ (all_0_18_18 = e0)
% 23.45/6.29 |
% 23.45/6.29 | Equations (371) can reduce 315 to:
% 23.45/6.29 | (189) ~ (e3 = e0)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 189 yields:
% 23.45/6.29 | (3) ~ (e3 = e0)
% 23.45/6.29 |
% 23.45/6.29 | Equations (371) can reduce 310 to:
% 23.45/6.29 | (193) ~ (e1 = e0)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 193 yields:
% 23.45/6.29 | (157) ~ (e1 = e0)
% 23.45/6.29 |
% 23.45/6.29 | From (371) and (12135) follows:
% 23.45/6.29 | (6730) op(e0, e2) = all_0_4_4
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (2), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (1798) ~ (all_0_4_4 = e3)
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (1762), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (752) all_0_15_15 = e2
% 23.45/6.29 |
% 23.45/6.29 | Equations (752) can reduce 725 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (725) ~ (all_0_15_15 = e2)
% 23.45/6.29 | (3443) all_0_19_19 = e2 | all_0_23_23 = e2
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (3443), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (342) all_0_19_19 = e2
% 23.45/6.29 |
% 23.45/6.29 | Equations (342) can reduce 132 to:
% 23.45/6.29 | (343) ~ (all_0_11_11 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (342) can reduce 89 to:
% 23.45/6.29 | (725) ~ (all_0_15_15 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (342) can reduce 138 to:
% 23.45/6.29 | (688) ~ (all_0_16_16 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (342) can reduce 43 to:
% 23.45/6.29 | (195) ~ (all_0_18_18 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Equations (342) can reduce 122 to:
% 23.45/6.29 | (12173) ~ (all_0_23_23 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 12173 yields:
% 23.45/6.29 | (169) ~ (all_0_23_23 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Instantiating formula (152) with e0, e2, e2, all_0_4_4 and discharging atoms op(e0, e2) = all_0_4_4, op(e0, e2) = e2, yields:
% 23.45/6.29 | (13407) all_0_4_4 = e2
% 23.45/6.29 |
% 23.45/6.29 | Equations (13407) can reduce 1798 to:
% 23.45/6.29 | (345) ~ (e3 = e2)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 345 yields:
% 23.45/6.29 | (111) ~ (e3 = e2)
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (127), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (211) ~ (all_0_18_18 = e3)
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (77), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (277) all_0_16_16 = e3
% 23.45/6.29 |
% 23.45/6.29 | Equations (277) can reduce 45 to:
% 23.45/6.29 | (206) ~ (all_0_12_12 = e3)
% 23.45/6.29 |
% 23.45/6.29 | Equations (277) can reduce 28 to:
% 23.45/6.29 | (680) ~ (all_0_18_18 = e3)
% 23.45/6.29 |
% 23.45/6.29 | Simplifying 680 yields:
% 23.45/6.29 | (211) ~ (all_0_18_18 = e3)
% 23.45/6.29 |
% 23.45/6.29 | Equations (277) can reduce 688 to:
% 23.45/6.29 | (111) ~ (e3 = e2)
% 23.45/6.29 |
% 23.45/6.29 +-Applying beta-rule and splitting (78), into two cases.
% 23.45/6.29 |-Branch one:
% 23.45/6.29 | (254) all_0_12_12 = e3
% 23.45/6.29 |
% 23.45/6.29 | Equations (254) can reduce 206 to:
% 23.45/6.29 | (172) $false
% 23.45/6.29 |
% 23.45/6.29 |-The branch is then unsatisfiable
% 23.45/6.29 |-Branch two:
% 23.45/6.29 | (206) ~ (all_0_12_12 = e3)
% 23.45/6.29 | (381) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 23.45/6.29 |
% 23.45/6.30 +-Applying beta-rule and splitting (146), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (621) all_0_8_8 = e1
% 23.45/6.30 |
% 23.45/6.30 | Combining equations (621,492) yields a new equation:
% 23.45/6.30 | (742) e2 = e1
% 23.45/6.30 |
% 23.45/6.30 | Equations (742) can reduce 75 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (196) ~ (all_0_8_8 = e1)
% 23.45/6.30 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 23.45/6.30 |
% 23.45/6.30 | Equations (492) can reduce 196 to:
% 23.45/6.30 | (75) ~ (e2 = e1)
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (165), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (254) all_0_12_12 = e3
% 23.45/6.30 |
% 23.45/6.30 | Equations (254) can reduce 206 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (206) ~ (all_0_12_12 = e3)
% 23.45/6.30 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (381), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (385) all_0_12_12 = e2
% 23.45/6.30 |
% 23.45/6.30 | Equations (385) can reduce 336 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (336) ~ (all_0_12_12 = e2)
% 23.45/6.30 | (388) all_0_12_12 = e1 | all_0_12_12 = e0
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (778), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (389) all_0_12_12 = e1
% 23.45/6.30 |
% 23.45/6.30 | Equations (389) can reduce 307 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (307) ~ (all_0_12_12 = e1)
% 23.45/6.30 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (714), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (347) all_0_13_13 = e3
% 23.45/6.30 |
% 23.45/6.30 | Combining equations (347,444) yields a new equation:
% 23.45/6.30 | (555) e3 = e1
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 555 yields:
% 23.45/6.30 | (556) e3 = e1
% 23.45/6.30 |
% 23.45/6.30 | Equations (556) can reduce 163 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (337) ~ (all_0_13_13 = e3)
% 23.45/6.30 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 23.45/6.30 |
% 23.45/6.30 | Equations (444) can reduce 337 to:
% 23.45/6.30 | (313) ~ (e3 = e1)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 313 yields:
% 23.45/6.30 | (163) ~ (e3 = e1)
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (161), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (305) all_0_16_16 = e1
% 23.45/6.30 |
% 23.45/6.30 | Combining equations (277,305) yields a new equation:
% 23.45/6.30 | (555) e3 = e1
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 555 yields:
% 23.45/6.30 | (556) e3 = e1
% 23.45/6.30 |
% 23.45/6.30 | Equations (556) can reduce 163 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (770) ~ (all_0_16_16 = e1)
% 23.45/6.30 | (771) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (771), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (368) all_0_17_17 = e1
% 23.45/6.30 |
% 23.45/6.30 | Combining equations (368,371) yields a new equation:
% 23.45/6.30 | (542) e1 = e0
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 542 yields:
% 23.45/6.30 | (543) e1 = e0
% 23.45/6.30 |
% 23.45/6.30 | Equations (543) can reduce 157 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (310) ~ (all_0_17_17 = e1)
% 23.45/6.30 | (920) all_0_18_18 = e1 | all_0_19_19 = e1
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (920), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (220) all_0_18_18 = e1
% 23.45/6.30 |
% 23.45/6.30 | Equations (220) can reduce 51 to:
% 23.45/6.30 | (221) ~ (all_0_10_10 = e1)
% 23.45/6.30 |
% 23.45/6.30 | Equations (220) can reduce 211 to:
% 23.45/6.30 | (313) ~ (e3 = e1)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 313 yields:
% 23.45/6.30 | (163) ~ (e3 = e1)
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (27), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (695) all_0_10_10 = e3
% 23.45/6.30 |
% 23.45/6.30 | Equations (695) can reduce 306 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (306) ~ (all_0_10_10 = e3)
% 23.45/6.30 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (698), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (516) all_0_14_14 = e3
% 23.45/6.30 |
% 23.45/6.30 | Combining equations (522,516) yields a new equation:
% 23.45/6.30 | (352) e3 = e2
% 23.45/6.30 |
% 23.45/6.30 | Equations (352) can reduce 111 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (308) ~ (all_0_14_14 = e3)
% 23.45/6.30 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (50), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (695) all_0_10_10 = e3
% 23.45/6.30 |
% 23.45/6.30 | Equations (695) can reduce 306 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (306) ~ (all_0_10_10 = e3)
% 23.45/6.30 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (703), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (212) all_0_18_18 = e3
% 23.45/6.30 |
% 23.45/6.30 | Combining equations (212,220) yields a new equation:
% 23.45/6.30 | (555) e3 = e1
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 555 yields:
% 23.45/6.30 | (556) e3 = e1
% 23.45/6.30 |
% 23.45/6.30 | Equations (556) can reduce 163 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (211) ~ (all_0_18_18 = e3)
% 23.45/6.30 | (560) all_0_22_22 = e3
% 23.45/6.30 |
% 23.45/6.30 | Equations (560) can reduce 72 to:
% 23.45/6.30 | (306) ~ (all_0_10_10 = e3)
% 23.45/6.30 |
% 23.45/6.30 | Equations (560) can reduce 14 to:
% 23.45/6.30 | (210) ~ (all_0_20_20 = e3)
% 23.45/6.30 |
% 23.45/6.30 | Equations (560) can reduce 39 to:
% 23.45/6.30 | (12533) ~ (all_0_23_23 = e3)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 12533 yields:
% 23.45/6.30 | (170) ~ (all_0_23_23 = e3)
% 23.45/6.30 |
% 23.45/6.30 | Equations (560) can reduce 531 to:
% 23.45/6.30 | (111) ~ (e3 = e2)
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (1231), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (730) all_0_10_10 = e2
% 23.45/6.30 |
% 23.45/6.30 | Equations (730) can reduce 985 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (985) ~ (all_0_10_10 = e2)
% 23.45/6.30 | (1235) all_0_10_10 = e1 | all_0_10_10 = e0
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (1235), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (242) all_0_10_10 = e1
% 23.45/6.30 |
% 23.45/6.30 | Equations (242) can reduce 221 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (221) ~ (all_0_10_10 = e1)
% 23.45/6.30 | (395) all_0_10_10 = e0
% 23.45/6.30 |
% 23.45/6.30 | Equations (395) can reduce 23 to:
% 23.45/6.30 | (397) ~ (all_0_11_11 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 397 yields:
% 23.45/6.30 | (183) ~ (all_0_11_11 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Equations (395) can reduce 306 to:
% 23.45/6.30 | (189) ~ (e3 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 189 yields:
% 23.45/6.30 | (3) ~ (e3 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Equations (395) can reduce 985 to:
% 23.45/6.30 | (191) ~ (e2 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 191 yields:
% 23.45/6.30 | (29) ~ (e2 = e0)
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (154), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (171) all_0_23_23 = e3
% 23.45/6.30 |
% 23.45/6.30 | Equations (171) can reduce 170 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (170) ~ (all_0_23_23 = e3)
% 23.45/6.30 | (174) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (65), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (399) all_0_11_11 = e3
% 23.45/6.30 |
% 23.45/6.30 | Equations (399) can reduce 204 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (204) ~ (all_0_11_11 = e3)
% 23.45/6.30 | (1358) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (1358), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (726) all_0_15_15 = e3
% 23.45/6.30 |
% 23.45/6.30 | Equations (726) can reduce 129 to:
% 23.45/6.30 | (204) ~ (all_0_11_11 = e3)
% 23.45/6.30 |
% 23.45/6.30 | Equations (726) can reduce 30 to:
% 23.45/6.30 | (206) ~ (all_0_12_12 = e3)
% 23.45/6.30 |
% 23.45/6.30 | Equations (726) can reduce 105 to:
% 23.45/6.30 | (12533) ~ (all_0_23_23 = e3)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 12533 yields:
% 23.45/6.30 | (170) ~ (all_0_23_23 = e3)
% 23.45/6.30 |
% 23.45/6.30 | Equations (726) can reduce 725 to:
% 23.45/6.30 | (111) ~ (e3 = e2)
% 23.45/6.30 |
% 23.45/6.30 | Equations (726) can reduce 536 to:
% 23.45/6.30 | (163) ~ (e3 = e1)
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (164), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (392) all_0_12_12 = e0
% 23.45/6.30 |
% 23.45/6.30 | Equations (392) can reduce 42 to:
% 23.45/6.30 | (634) ~ (all_0_20_20 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 634 yields:
% 23.45/6.30 | (186) ~ (all_0_20_20 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Equations (392) can reduce 206 to:
% 23.45/6.30 | (189) ~ (e3 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 189 yields:
% 23.45/6.30 | (3) ~ (e3 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Equations (392) can reduce 336 to:
% 23.45/6.30 | (191) ~ (e2 = e0)
% 23.45/6.30 |
% 23.45/6.30 | Simplifying 191 yields:
% 23.45/6.30 | (29) ~ (e2 = e0)
% 23.45/6.30 |
% 23.45/6.30 +-Applying beta-rule and splitting (95), into two cases.
% 23.45/6.30 |-Branch one:
% 23.45/6.30 | (399) all_0_11_11 = e3
% 23.45/6.30 |
% 23.45/6.30 | Equations (399) can reduce 204 to:
% 23.45/6.30 | (172) $false
% 23.45/6.30 |
% 23.45/6.30 |-The branch is then unsatisfiable
% 23.45/6.30 |-Branch two:
% 23.45/6.30 | (204) ~ (all_0_11_11 = e3)
% 23.50/6.30 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (142), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (418) all_0_11_11 = e1
% 23.50/6.30 |
% 23.50/6.30 | Equations (418) can reduce 204 to:
% 23.50/6.30 | (313) ~ (e3 = e1)
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 313 yields:
% 23.50/6.30 | (163) ~ (e3 = e1)
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (2268), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (305) all_0_16_16 = e1
% 23.50/6.30 |
% 23.50/6.30 | Combining equations (277,305) yields a new equation:
% 23.50/6.30 | (555) e3 = e1
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 555 yields:
% 23.50/6.30 | (556) e3 = e1
% 23.50/6.30 |
% 23.50/6.30 | Equations (556) can reduce 163 to:
% 23.50/6.30 | (172) $false
% 23.50/6.30 |
% 23.50/6.30 |-The branch is then unsatisfiable
% 23.50/6.30 |-Branch two:
% 23.50/6.30 | (770) ~ (all_0_16_16 = e1)
% 23.50/6.30 | (952) all_0_20_20 = e1
% 23.50/6.30 |
% 23.50/6.30 | Equations (952) can reduce 156 to:
% 23.50/6.30 | (12160) ~ (all_0_23_23 = e1)
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 12160 yields:
% 23.50/6.30 | (168) ~ (all_0_23_23 = e1)
% 23.50/6.30 |
% 23.50/6.30 | Equations (952) can reduce 466 to:
% 23.50/6.30 | (924) ~ (e2 = e1)
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 924 yields:
% 23.50/6.30 | (75) ~ (e2 = e1)
% 23.50/6.30 |
% 23.50/6.30 | Equations (952) can reduce 186 to:
% 23.50/6.30 | (157) ~ (e1 = e0)
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (153), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (247) all_0_11_11 = e0
% 23.50/6.30 |
% 23.50/6.30 | Combining equations (418,247) yields a new equation:
% 23.50/6.30 | (542) e1 = e0
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 542 yields:
% 23.50/6.30 | (543) e1 = e0
% 23.50/6.30 |
% 23.50/6.30 | Equations (543) can reduce 157 to:
% 23.50/6.30 | (172) $false
% 23.50/6.30 |
% 23.50/6.30 |-The branch is then unsatisfiable
% 23.50/6.30 |-Branch two:
% 23.50/6.30 | (183) ~ (all_0_11_11 = e0)
% 23.50/6.30 | (9734) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (9734), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (270) all_0_15_15 = e0
% 23.50/6.30 |
% 23.50/6.30 | Combining equations (726,270) yields a new equation:
% 23.50/6.30 | (564) e3 = e0
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 564 yields:
% 23.50/6.30 | (323) e3 = e0
% 23.50/6.30 |
% 23.50/6.30 | Equations (323) can reduce 3 to:
% 23.50/6.30 | (172) $false
% 23.50/6.30 |
% 23.50/6.30 |-The branch is then unsatisfiable
% 23.50/6.30 |-Branch two:
% 23.50/6.30 | (184) ~ (all_0_15_15 = e0)
% 23.50/6.30 | (10180) all_0_19_19 = e0 | all_0_23_23 = e0
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (10180), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (291) all_0_19_19 = e0
% 23.50/6.30 |
% 23.50/6.30 | Combining equations (342,291) yields a new equation:
% 23.50/6.30 | (499) e2 = e0
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 499 yields:
% 23.50/6.30 | (500) e2 = e0
% 23.50/6.30 |
% 23.50/6.30 | Equations (500) can reduce 29 to:
% 23.50/6.30 | (172) $false
% 23.50/6.30 |
% 23.50/6.30 |-The branch is then unsatisfiable
% 23.50/6.30 |-Branch two:
% 23.50/6.30 | (185) ~ (all_0_19_19 = e0)
% 23.50/6.30 | (182) all_0_23_23 = e0
% 23.50/6.30 |
% 23.50/6.30 | Equations (182) can reduce 170 to:
% 23.50/6.30 | (189) ~ (e3 = e0)
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 189 yields:
% 23.50/6.30 | (3) ~ (e3 = e0)
% 23.50/6.30 |
% 23.50/6.30 | Equations (182) can reduce 169 to:
% 23.50/6.30 | (191) ~ (e2 = e0)
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 191 yields:
% 23.50/6.30 | (29) ~ (e2 = e0)
% 23.50/6.30 |
% 23.50/6.30 | Equations (182) can reduce 168 to:
% 23.50/6.30 | (193) ~ (e1 = e0)
% 23.50/6.30 |
% 23.50/6.30 | Simplifying 193 yields:
% 23.50/6.30 | (157) ~ (e1 = e0)
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (99), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (223), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (224), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (225), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.50/6.30 |
% 23.50/6.30 +-Applying beta-rule and splitting (226), into two cases.
% 23.50/6.30 |-Branch one:
% 23.50/6.30 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (227), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (228), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (229), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (230), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (231) yields:
% 23.50/6.31 | (232) ~ (all_0_8_8 = e3)
% 23.50/6.31 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.50/6.31 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.50/6.31 | (235) all_0_9_9 = e2
% 23.50/6.31 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (338,235) yields a new equation:
% 23.50/6.31 | (511) e3 = e2
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 511 yields:
% 23.50/6.31 | (352) e3 = e2
% 23.50/6.31 |
% 23.50/6.31 | Equations (352) can reduce 111 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (238) yields:
% 23.50/6.31 | (232) ~ (all_0_8_8 = e3)
% 23.50/6.31 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.50/6.31 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.50/6.31 | (242) all_0_10_10 = e1
% 23.50/6.31 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (242,395) yields a new equation:
% 23.50/6.31 | (542) e1 = e0
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 542 yields:
% 23.50/6.31 | (543) e1 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (543) can reduce 157 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (245) yields:
% 23.50/6.31 | (232) ~ (all_0_8_8 = e3)
% 23.50/6.31 | (247) all_0_11_11 = e0
% 23.50/6.31 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.50/6.31 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.50/6.31 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (418,247) yields a new equation:
% 23.50/6.31 | (542) e1 = e0
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 542 yields:
% 23.50/6.31 | (543) e1 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (543) can reduce 157 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (252) yields:
% 23.50/6.31 | (253) ~ (all_0_13_13 = e2)
% 23.50/6.31 | (254) all_0_12_12 = e3
% 23.50/6.31 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.50/6.31 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.50/6.31 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (392,254) yields a new equation:
% 23.50/6.31 | (323) e3 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (323) can reduce 3 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (259) yields:
% 23.50/6.31 | (253) ~ (all_0_13_13 = e2)
% 23.50/6.31 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.50/6.31 | (262) all_0_14_14 = e1
% 23.50/6.31 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.50/6.31 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (262,522) yields a new equation:
% 23.50/6.31 | (742) e2 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (742) can reduce 75 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (266) yields:
% 23.50/6.31 | (253) ~ (all_0_13_13 = e2)
% 23.50/6.31 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.50/6.31 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.50/6.31 | (270) all_0_15_15 = e0
% 23.50/6.31 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (726,270) yields a new equation:
% 23.50/6.31 | (564) e3 = e0
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 564 yields:
% 23.50/6.31 | (323) e3 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (323) can reduce 3 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (273) yields:
% 23.50/6.31 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.50/6.31 | (275) ~ (all_0_18_18 = e1)
% 23.50/6.31 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.50/6.31 | (277) all_0_16_16 = e3
% 23.50/6.31 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.50/6.31 |
% 23.50/6.31 | Equations (220) can reduce 275 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (280) yields:
% 23.50/6.31 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.50/6.31 | (282) all_0_17_17 = e2
% 23.50/6.31 | (275) ~ (all_0_18_18 = e1)
% 23.50/6.31 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.50/6.31 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (371,282) yields a new equation:
% 23.50/6.31 | (500) e2 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (500) can reduce 29 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (287) yields:
% 23.50/6.31 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.50/6.31 | (275) ~ (all_0_18_18 = e1)
% 23.50/6.31 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.50/6.31 | (291) all_0_19_19 = e0
% 23.50/6.31 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (342,291) yields a new equation:
% 23.50/6.31 | (499) e2 = e0
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 499 yields:
% 23.50/6.31 | (500) e2 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (500) can reduce 29 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Applying alpha-rule on (294) yields:
% 23.50/6.31 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 23.50/6.31 | (296) ~ (all_0_23_23 = e0)
% 23.50/6.31 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 23.50/6.31 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 23.50/6.31 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 23.50/6.31 |
% 23.50/6.31 | Equations (182) can reduce 296 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (413) ~ (all_0_11_11 = e1)
% 23.50/6.31 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (70), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (327) all_0_20_20 = e3
% 23.50/6.31 |
% 23.50/6.31 | Equations (327) can reduce 210 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (210) ~ (all_0_20_20 = e3)
% 23.50/6.31 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (2268), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (305) all_0_16_16 = e1
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (305,277) yields a new equation:
% 23.50/6.31 | (556) e3 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (556) can reduce 163 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (770) ~ (all_0_16_16 = e1)
% 23.50/6.31 | (952) all_0_20_20 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (952) can reduce 156 to:
% 23.50/6.31 | (12160) ~ (all_0_23_23 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 12160 yields:
% 23.50/6.31 | (168) ~ (all_0_23_23 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Equations (952) can reduce 210 to:
% 23.50/6.31 | (313) ~ (e3 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 313 yields:
% 23.50/6.31 | (163) ~ (e3 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Equations (952) can reduce 466 to:
% 23.50/6.31 | (924) ~ (e2 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 924 yields:
% 23.50/6.31 | (75) ~ (e2 = e1)
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (489), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (490) all_0_15_15 = e1
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (726,490) yields a new equation:
% 23.50/6.31 | (555) e3 = e1
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 555 yields:
% 23.50/6.31 | (556) e3 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (556) can reduce 163 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (536) ~ (all_0_15_15 = e1)
% 23.50/6.31 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (537), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (458) all_0_19_19 = e1
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (342,458) yields a new equation:
% 23.50/6.31 | (966) e2 = e1
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 966 yields:
% 23.50/6.31 | (742) e2 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (742) can reduce 75 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (312) ~ (all_0_19_19 = e1)
% 23.50/6.31 | (179) all_0_23_23 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (179) can reduce 168 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (606) ~ (all_0_12_12 = e0)
% 23.50/6.31 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (95), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (399) all_0_11_11 = e3
% 23.50/6.31 |
% 23.50/6.31 | Equations (399) can reduce 204 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (204) ~ (all_0_11_11 = e3)
% 23.50/6.31 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (142), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (418) all_0_11_11 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (418) can reduce 204 to:
% 23.50/6.31 | (313) ~ (e3 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 313 yields:
% 23.50/6.31 | (163) ~ (e3 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Equations (418) can reduce 183 to:
% 23.50/6.31 | (157) ~ (e1 = e0)
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (91), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (322) all_0_8_8 = e0
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (322,492) yields a new equation:
% 23.50/6.31 | (500) e2 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (500) can reduce 29 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (199) ~ (all_0_8_8 = e0)
% 23.50/6.31 | (326) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (326), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (392) all_0_12_12 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (392) can reduce 606 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (606) ~ (all_0_12_12 = e0)
% 23.50/6.31 | (607) all_0_16_16 = e0 | all_0_20_20 = e0
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (1766), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (447) all_0_13_13 = e0
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (447,444) yields a new equation:
% 23.50/6.31 | (543) e1 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (543) can reduce 157 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (373) ~ (all_0_13_13 = e0)
% 23.50/6.31 | (3431) all_0_14_14 = e0 | all_0_15_15 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (444) can reduce 373 to:
% 23.50/6.31 | (157) ~ (e1 = e0)
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (607), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (608) all_0_16_16 = e0
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (608,277) yields a new equation:
% 23.50/6.31 | (323) e3 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (323) can reduce 3 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (612) ~ (all_0_16_16 = e0)
% 23.50/6.31 | (613) all_0_20_20 = e0
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (2268), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (305) all_0_16_16 = e1
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (277,305) yields a new equation:
% 23.50/6.31 | (555) e3 = e1
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 555 yields:
% 23.50/6.31 | (556) e3 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (556) can reduce 163 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (770) ~ (all_0_16_16 = e1)
% 23.50/6.31 | (952) all_0_20_20 = e1
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (952,613) yields a new equation:
% 23.50/6.31 | (542) e1 = e0
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 542 yields:
% 23.50/6.31 | (543) e1 = e0
% 23.50/6.31 |
% 23.50/6.31 | Equations (543) can reduce 157 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (413) ~ (all_0_11_11 = e1)
% 23.50/6.31 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (128), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (952) all_0_20_20 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (952) can reduce 156 to:
% 23.50/6.31 | (12160) ~ (all_0_23_23 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 12160 yields:
% 23.50/6.31 | (168) ~ (all_0_23_23 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Equations (952) can reduce 210 to:
% 23.50/6.31 | (313) ~ (e3 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 313 yields:
% 23.50/6.31 | (163) ~ (e3 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Equations (952) can reduce 466 to:
% 23.50/6.31 | (924) ~ (e2 = e1)
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 924 yields:
% 23.50/6.31 | (75) ~ (e2 = e1)
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (489), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (490) all_0_15_15 = e1
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (726,490) yields a new equation:
% 23.50/6.31 | (555) e3 = e1
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 555 yields:
% 23.50/6.31 | (556) e3 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (556) can reduce 163 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (536) ~ (all_0_15_15 = e1)
% 23.50/6.31 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (47), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (621) all_0_8_8 = e1
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (621,492) yields a new equation:
% 23.50/6.31 | (742) e2 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (742) can reduce 75 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (196) ~ (all_0_8_8 = e1)
% 23.50/6.31 | (751) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (492) can reduce 196 to:
% 23.50/6.31 | (75) ~ (e2 = e1)
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (537), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (458) all_0_19_19 = e1
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (342,458) yields a new equation:
% 23.50/6.31 | (966) e2 = e1
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 966 yields:
% 23.50/6.31 | (742) e2 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (742) can reduce 75 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (312) ~ (all_0_19_19 = e1)
% 23.50/6.31 | (179) all_0_23_23 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (179) can reduce 168 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (963) ~ (all_0_20_20 = e1)
% 23.50/6.31 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 23.50/6.31 |
% 23.50/6.31 +-Applying beta-rule and splitting (2268), into two cases.
% 23.50/6.31 |-Branch one:
% 23.50/6.31 | (305) all_0_16_16 = e1
% 23.50/6.31 |
% 23.50/6.31 | Combining equations (277,305) yields a new equation:
% 23.50/6.31 | (555) e3 = e1
% 23.50/6.31 |
% 23.50/6.31 | Simplifying 555 yields:
% 23.50/6.31 | (556) e3 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (556) can reduce 163 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (770) ~ (all_0_16_16 = e1)
% 23.50/6.31 | (952) all_0_20_20 = e1
% 23.50/6.31 |
% 23.50/6.31 | Equations (952) can reduce 963 to:
% 23.50/6.31 | (172) $false
% 23.50/6.31 |
% 23.50/6.31 |-The branch is then unsatisfiable
% 23.50/6.31 |-Branch two:
% 23.50/6.31 | (642) ~ (all_0_15_15 = e3)
% 23.50/6.32 | (8093) all_0_19_19 = e3 | all_0_23_23 = e3
% 23.50/6.32 |
% 23.50/6.32 +-Applying beta-rule and splitting (8093), into two cases.
% 23.50/6.32 |-Branch one:
% 23.50/6.32 | (331) all_0_19_19 = e3
% 23.50/6.32 |
% 23.50/6.32 | Combining equations (331,342) yields a new equation:
% 23.50/6.32 | (511) e3 = e2
% 23.50/6.32 |
% 23.50/6.32 | Simplifying 511 yields:
% 23.50/6.32 | (352) e3 = e2
% 23.50/6.32 |
% 23.50/6.32 | Equations (352) can reduce 111 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (317) ~ (all_0_19_19 = e3)
% 23.50/6.32 | (171) all_0_23_23 = e3
% 23.50/6.32 |
% 23.50/6.32 | Equations (171) can reduce 170 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (275) ~ (all_0_18_18 = e1)
% 23.50/6.32 | (458) all_0_19_19 = e1
% 23.50/6.32 |
% 23.50/6.32 | Combining equations (342,458) yields a new equation:
% 23.50/6.32 | (966) e2 = e1
% 23.50/6.32 |
% 23.50/6.32 | Simplifying 966 yields:
% 23.50/6.32 | (742) e2 = e1
% 23.50/6.32 |
% 23.50/6.32 | Equations (742) can reduce 75 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (208) ~ (all_0_16_16 = e3)
% 23.50/6.32 | (1015) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 23.50/6.32 |
% 23.50/6.32 +-Applying beta-rule and splitting (27), into two cases.
% 23.50/6.32 |-Branch one:
% 23.50/6.32 | (695) all_0_10_10 = e3
% 23.50/6.32 |
% 23.50/6.32 | Equations (695) can reduce 306 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (306) ~ (all_0_10_10 = e3)
% 23.50/6.32 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 23.50/6.32 |
% 23.50/6.32 +-Applying beta-rule and splitting (33), into two cases.
% 23.50/6.32 |-Branch one:
% 23.50/6.32 | (212) all_0_18_18 = e3
% 23.50/6.32 |
% 23.50/6.32 | Equations (212) can reduce 211 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (211) ~ (all_0_18_18 = e3)
% 23.50/6.32 | (215) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 23.50/6.32 |
% 23.50/6.32 +-Applying beta-rule and splitting (698), into two cases.
% 23.50/6.32 |-Branch one:
% 23.50/6.32 | (516) all_0_14_14 = e3
% 23.50/6.32 |
% 23.50/6.32 | Combining equations (522,516) yields a new equation:
% 23.50/6.32 | (352) e3 = e2
% 23.50/6.32 |
% 23.50/6.32 | Equations (352) can reduce 111 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (308) ~ (all_0_14_14 = e3)
% 23.50/6.32 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 23.50/6.32 |
% 23.50/6.32 | Equations (522) can reduce 308 to:
% 23.50/6.32 | (345) ~ (e3 = e2)
% 23.50/6.32 |
% 23.50/6.32 | Simplifying 345 yields:
% 23.50/6.32 | (111) ~ (e3 = e2)
% 23.50/6.32 |
% 23.50/6.32 +-Applying beta-rule and splitting (1015), into two cases.
% 23.50/6.32 |-Branch one:
% 23.50/6.32 | (360) all_0_17_17 = e3
% 23.50/6.32 |
% 23.50/6.32 | Combining equations (371,360) yields a new equation:
% 23.50/6.32 | (323) e3 = e0
% 23.50/6.32 |
% 23.50/6.32 | Equations (323) can reduce 3 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (315) ~ (all_0_17_17 = e3)
% 23.50/6.32 | (1031) all_0_18_18 = e3 | all_0_19_19 = e3
% 23.50/6.32 |
% 23.50/6.32 +-Applying beta-rule and splitting (1031), into two cases.
% 23.50/6.32 |-Branch one:
% 23.50/6.32 | (212) all_0_18_18 = e3
% 23.50/6.32 |
% 23.50/6.32 | Equations (212) can reduce 211 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (211) ~ (all_0_18_18 = e3)
% 23.50/6.32 | (331) all_0_19_19 = e3
% 23.50/6.32 |
% 23.50/6.32 | Combining equations (342,331) yields a new equation:
% 23.50/6.32 | (352) e3 = e2
% 23.50/6.32 |
% 23.50/6.32 | Equations (352) can reduce 111 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (212) all_0_18_18 = e3
% 23.50/6.32 | (305) all_0_16_16 = e1
% 23.50/6.32 |
% 23.50/6.32 | Equations (305,212) can reduce 28 to:
% 23.50/6.32 | (313) ~ (e3 = e1)
% 23.50/6.32 |
% 23.50/6.32 | Simplifying 313 yields:
% 23.50/6.32 | (163) ~ (e3 = e1)
% 23.50/6.32 |
% 23.50/6.32 | Equations (305) can reduce 688 to:
% 23.50/6.32 | (924) ~ (e2 = e1)
% 23.50/6.32 |
% 23.50/6.32 | Simplifying 924 yields:
% 23.50/6.32 | (75) ~ (e2 = e1)
% 23.50/6.32 |
% 23.50/6.32 | Equations (212) can reduce 119 to:
% 23.50/6.32 | (318) ~ (all_0_22_22 = e3)
% 23.50/6.32 |
% 23.50/6.32 | Simplifying 318 yields:
% 23.50/6.32 | (319) ~ (all_0_22_22 = e3)
% 23.50/6.32 |
% 23.50/6.32 | Equations (212) can reduce 195 to:
% 23.50/6.32 | (111) ~ (e3 = e2)
% 23.50/6.32 |
% 23.50/6.32 | Equations (212) can reduce 197 to:
% 23.50/6.32 | (3) ~ (e3 = e0)
% 23.50/6.32 |
% 23.50/6.32 +-Applying beta-rule and splitting (37), into two cases.
% 23.50/6.32 |-Branch one:
% 23.50/6.32 | (200) all_0_8_8 = e3
% 23.50/6.32 |
% 23.50/6.32 | Combining equations (200,492) yields a new equation:
% 23.50/6.32 | (511) e3 = e2
% 23.50/6.32 |
% 23.50/6.32 | Simplifying 511 yields:
% 23.50/6.32 | (352) e3 = e2
% 23.50/6.32 |
% 23.50/6.32 | Equations (352) can reduce 111 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (232) ~ (all_0_8_8 = e3)
% 23.50/6.32 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 23.50/6.32 |
% 23.50/6.32 | Equations (492) can reduce 232 to:
% 23.50/6.32 | (345) ~ (e3 = e2)
% 23.50/6.32 |
% 23.50/6.32 | Simplifying 345 yields:
% 23.50/6.32 | (111) ~ (e3 = e2)
% 23.50/6.32 |
% 23.50/6.32 +-Applying beta-rule and splitting (4875), into two cases.
% 23.50/6.32 |-Branch one:
% 23.50/6.32 | (382) all_0_13_13 = e2
% 23.50/6.32 |
% 23.50/6.32 | Combining equations (382,444) yields a new equation:
% 23.50/6.32 | (966) e2 = e1
% 23.50/6.32 |
% 23.50/6.32 | Simplifying 966 yields:
% 23.50/6.32 | (742) e2 = e1
% 23.50/6.32 |
% 23.50/6.32 | Equations (742) can reduce 75 to:
% 23.50/6.32 | (172) $false
% 23.50/6.32 |
% 23.50/6.32 |-The branch is then unsatisfiable
% 23.50/6.32 |-Branch two:
% 23.50/6.32 | (253) ~ (all_0_13_13 = e2)
% 23.50/6.32 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 23.50/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (4885), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (220) all_0_18_18 = e1
% 23.54/6.32 |
% 23.54/6.32 | Combining equations (220,212) yields a new equation:
% 23.54/6.32 | (556) e3 = e1
% 23.54/6.32 |
% 23.54/6.32 | Equations (556) can reduce 163 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (275) ~ (all_0_18_18 = e1)
% 23.54/6.32 | (182) all_0_23_23 = e0
% 23.54/6.32 |
% 23.54/6.32 | Equations (182) can reduce 131 to:
% 23.54/6.32 | (183) ~ (all_0_11_11 = e0)
% 23.54/6.32 |
% 23.54/6.32 | Equations (182) can reduce 105 to:
% 23.54/6.32 | (184) ~ (all_0_15_15 = e0)
% 23.54/6.32 |
% 23.54/6.32 | Equations (182) can reduce 39 to:
% 23.54/6.32 | (188) ~ (all_0_22_22 = e0)
% 23.54/6.32 |
% 23.54/6.32 | Equations (182) can reduce 169 to:
% 23.54/6.32 | (191) ~ (e2 = e0)
% 23.54/6.32 |
% 23.54/6.32 | Simplifying 191 yields:
% 23.54/6.32 | (29) ~ (e2 = e0)
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (143), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (560) all_0_22_22 = e3
% 23.54/6.32 |
% 23.54/6.32 | Equations (560) can reduce 319 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (319) ~ (all_0_22_22 = e3)
% 23.54/6.32 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (2882), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (520) all_0_22_22 = e2
% 23.54/6.32 |
% 23.54/6.32 | Equations (520) can reduce 531 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (531) ~ (all_0_22_22 = e2)
% 23.54/6.32 | (4223) all_0_22_22 = e1 | all_0_22_22 = e0
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (4223), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (864) all_0_22_22 = e1
% 23.54/6.32 |
% 23.54/6.32 | Equations (864) can reduce 14 to:
% 23.54/6.32 | (963) ~ (all_0_20_20 = e1)
% 23.54/6.32 |
% 23.54/6.32 | Equations (864) can reduce 319 to:
% 23.54/6.32 | (313) ~ (e3 = e1)
% 23.54/6.32 |
% 23.54/6.32 | Simplifying 313 yields:
% 23.54/6.32 | (163) ~ (e3 = e1)
% 23.54/6.32 |
% 23.54/6.32 | Equations (864) can reduce 188 to:
% 23.54/6.32 | (157) ~ (e1 = e0)
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (107), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (327) all_0_20_20 = e3
% 23.54/6.32 |
% 23.54/6.32 | Equations (327) can reduce 42 to:
% 23.54/6.32 | (206) ~ (all_0_12_12 = e3)
% 23.54/6.32 |
% 23.54/6.32 | Equations (327) can reduce 466 to:
% 23.54/6.32 | (111) ~ (e3 = e2)
% 23.54/6.32 |
% 23.54/6.32 | Equations (327) can reduce 963 to:
% 23.54/6.32 | (163) ~ (e3 = e1)
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (165), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (254) all_0_12_12 = e3
% 23.54/6.32 |
% 23.54/6.32 | Equations (254) can reduce 206 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (206) ~ (all_0_12_12 = e3)
% 23.54/6.32 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (95), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (399) all_0_11_11 = e3
% 23.54/6.32 |
% 23.54/6.32 | Equations (399) can reduce 204 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (204) ~ (all_0_11_11 = e3)
% 23.54/6.32 | (402) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (714), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (347) all_0_13_13 = e3
% 23.54/6.32 |
% 23.54/6.32 | Combining equations (347,444) yields a new equation:
% 23.54/6.32 | (555) e3 = e1
% 23.54/6.32 |
% 23.54/6.32 | Simplifying 555 yields:
% 23.54/6.32 | (556) e3 = e1
% 23.54/6.32 |
% 23.54/6.32 | Equations (556) can reduce 163 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (337) ~ (all_0_13_13 = e3)
% 23.54/6.32 | (1007) all_0_14_14 = e3 | all_0_15_15 = e3
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (402), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (414) all_0_11_11 = e2
% 23.54/6.32 |
% 23.54/6.32 | Equations (414) can reduce 343 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (343) ~ (all_0_11_11 = e2)
% 23.54/6.32 | (417) all_0_11_11 = e1 | all_0_11_11 = e0
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (417), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (418) all_0_11_11 = e1
% 23.54/6.32 |
% 23.54/6.32 | Equations (418) can reduce 23 to:
% 23.54/6.32 | (221) ~ (all_0_10_10 = e1)
% 23.54/6.32 |
% 23.54/6.32 | Equations (418) can reduce 129 to:
% 23.54/6.32 | (4601) ~ (all_0_15_15 = e1)
% 23.54/6.32 |
% 23.54/6.32 | Simplifying 4601 yields:
% 23.54/6.32 | (536) ~ (all_0_15_15 = e1)
% 23.54/6.32 |
% 23.54/6.32 | Equations (418) can reduce 343 to:
% 23.54/6.32 | (924) ~ (e2 = e1)
% 23.54/6.32 |
% 23.54/6.32 | Simplifying 924 yields:
% 23.54/6.32 | (75) ~ (e2 = e1)
% 23.54/6.32 |
% 23.54/6.32 | Equations (418) can reduce 183 to:
% 23.54/6.32 | (157) ~ (e1 = e0)
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (1007), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (516) all_0_14_14 = e3
% 23.54/6.32 |
% 23.54/6.32 | Combining equations (516,522) yields a new equation:
% 23.54/6.32 | (511) e3 = e2
% 23.54/6.32 |
% 23.54/6.32 | Simplifying 511 yields:
% 23.54/6.32 | (352) e3 = e2
% 23.54/6.32 |
% 23.54/6.32 | Equations (352) can reduce 111 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (308) ~ (all_0_14_14 = e3)
% 23.54/6.32 | (726) all_0_15_15 = e3
% 23.54/6.32 |
% 23.54/6.32 | Equations (726) can reduce 30 to:
% 23.54/6.32 | (206) ~ (all_0_12_12 = e3)
% 23.54/6.32 |
% 23.54/6.32 | Equations (726) can reduce 725 to:
% 23.54/6.32 | (111) ~ (e3 = e2)
% 23.54/6.32 |
% 23.54/6.32 | Equations (726) can reduce 536 to:
% 23.54/6.32 | (163) ~ (e3 = e1)
% 23.54/6.32 |
% 23.54/6.32 | Equations (726) can reduce 184 to:
% 23.54/6.32 | (3) ~ (e3 = e0)
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (99), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (223), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (224), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (225), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (226), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (227), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (228), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (229), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.54/6.32 |
% 23.54/6.32 +-Applying beta-rule and splitting (230), into two cases.
% 23.54/6.32 |-Branch one:
% 23.54/6.32 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.54/6.32 |
% 23.54/6.32 | Applying alpha-rule on (231) yields:
% 23.54/6.32 | (232) ~ (all_0_8_8 = e3)
% 23.54/6.32 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.54/6.32 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.54/6.32 | (235) all_0_9_9 = e2
% 23.54/6.32 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.54/6.32 |
% 23.54/6.32 | Combining equations (338,235) yields a new equation:
% 23.54/6.32 | (511) e3 = e2
% 23.54/6.32 |
% 23.54/6.32 | Simplifying 511 yields:
% 23.54/6.32 | (352) e3 = e2
% 23.54/6.32 |
% 23.54/6.32 | Equations (352) can reduce 111 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.54/6.32 |
% 23.54/6.32 | Applying alpha-rule on (238) yields:
% 23.54/6.32 | (232) ~ (all_0_8_8 = e3)
% 23.54/6.32 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.54/6.32 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.54/6.32 | (242) all_0_10_10 = e1
% 23.54/6.32 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.54/6.32 |
% 23.54/6.32 | Equations (242) can reduce 221 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.54/6.32 |
% 23.54/6.32 | Applying alpha-rule on (245) yields:
% 23.54/6.32 | (232) ~ (all_0_8_8 = e3)
% 23.54/6.32 | (247) all_0_11_11 = e0
% 23.54/6.32 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.54/6.32 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.54/6.32 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.54/6.32 |
% 23.54/6.32 | Combining equations (247,418) yields a new equation:
% 23.54/6.32 | (543) e1 = e0
% 23.54/6.32 |
% 23.54/6.32 | Equations (543) can reduce 157 to:
% 23.54/6.32 | (172) $false
% 23.54/6.32 |
% 23.54/6.32 |-The branch is then unsatisfiable
% 23.54/6.32 |-Branch two:
% 23.54/6.32 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.54/6.33 |
% 23.54/6.33 | Applying alpha-rule on (252) yields:
% 23.54/6.33 | (253) ~ (all_0_13_13 = e2)
% 23.54/6.33 | (254) all_0_12_12 = e3
% 23.54/6.33 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.54/6.33 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.54/6.33 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.54/6.33 |
% 23.54/6.33 | Equations (254) can reduce 206 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.54/6.33 |
% 23.54/6.33 | Applying alpha-rule on (259) yields:
% 23.54/6.33 | (253) ~ (all_0_13_13 = e2)
% 23.54/6.33 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.54/6.33 | (262) all_0_14_14 = e1
% 23.54/6.33 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.54/6.33 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (522,262) yields a new equation:
% 23.54/6.33 | (966) e2 = e1
% 23.54/6.33 |
% 23.54/6.33 | Simplifying 966 yields:
% 23.54/6.33 | (742) e2 = e1
% 23.54/6.33 |
% 23.54/6.33 | Equations (742) can reduce 75 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.54/6.33 |
% 23.54/6.33 | Applying alpha-rule on (266) yields:
% 23.54/6.33 | (253) ~ (all_0_13_13 = e2)
% 23.54/6.33 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.54/6.33 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.54/6.33 | (270) all_0_15_15 = e0
% 23.54/6.33 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (726,270) yields a new equation:
% 23.54/6.33 | (564) e3 = e0
% 23.54/6.33 |
% 23.54/6.33 | Simplifying 564 yields:
% 23.54/6.33 | (323) e3 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (323) can reduce 3 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.54/6.33 |
% 23.54/6.33 | Applying alpha-rule on (273) yields:
% 23.54/6.33 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.54/6.33 | (275) ~ (all_0_18_18 = e1)
% 23.54/6.33 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.54/6.33 | (277) all_0_16_16 = e3
% 23.54/6.33 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (305,277) yields a new equation:
% 23.54/6.33 | (556) e3 = e1
% 23.54/6.33 |
% 23.54/6.33 | Equations (556) can reduce 163 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.54/6.33 |
% 23.54/6.33 | Applying alpha-rule on (280) yields:
% 23.54/6.33 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.54/6.33 | (282) all_0_17_17 = e2
% 23.54/6.33 | (275) ~ (all_0_18_18 = e1)
% 23.54/6.33 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.54/6.33 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (371,282) yields a new equation:
% 23.54/6.33 | (500) e2 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (500) can reduce 29 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.54/6.33 |
% 23.54/6.33 | Applying alpha-rule on (287) yields:
% 23.54/6.33 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.54/6.33 | (275) ~ (all_0_18_18 = e1)
% 23.54/6.33 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.54/6.33 | (291) all_0_19_19 = e0
% 23.54/6.33 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (342,291) yields a new equation:
% 23.54/6.33 | (499) e2 = e0
% 23.54/6.33 |
% 23.54/6.33 | Simplifying 499 yields:
% 23.54/6.33 | (500) e2 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (500) can reduce 29 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 23.54/6.33 |
% 23.54/6.33 | Applying alpha-rule on (294) yields:
% 23.54/6.33 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 23.54/6.33 | (296) ~ (all_0_23_23 = e0)
% 23.54/6.33 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 23.54/6.33 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 23.54/6.33 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 23.54/6.33 |
% 23.54/6.33 | Equations (182) can reduce 296 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (413) ~ (all_0_11_11 = e1)
% 23.54/6.33 | (247) all_0_11_11 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (247) can reduce 183 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (210) ~ (all_0_20_20 = e3)
% 23.54/6.33 | (355) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 23.54/6.33 |
% 23.54/6.33 +-Applying beta-rule and splitting (164), into two cases.
% 23.54/6.33 |-Branch one:
% 23.54/6.33 | (392) all_0_12_12 = e0
% 23.54/6.33 |
% 23.54/6.33 +-Applying beta-rule and splitting (165), into two cases.
% 23.54/6.33 |-Branch one:
% 23.54/6.33 | (254) all_0_12_12 = e3
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (254,392) yields a new equation:
% 23.54/6.33 | (564) e3 = e0
% 23.54/6.33 |
% 23.54/6.33 | Simplifying 564 yields:
% 23.54/6.33 | (323) e3 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (323) can reduce 3 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (206) ~ (all_0_12_12 = e3)
% 23.54/6.33 | (714) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 23.54/6.33 |
% 23.54/6.33 | Equations (392) can reduce 206 to:
% 23.54/6.33 | (189) ~ (e3 = e0)
% 23.54/6.33 |
% 23.54/6.33 | Simplifying 189 yields:
% 23.54/6.33 | (3) ~ (e3 = e0)
% 23.54/6.33 |
% 23.54/6.33 +-Applying beta-rule and splitting (355), into two cases.
% 23.54/6.33 |-Branch one:
% 23.54/6.33 | (356) all_0_21_21 = e3
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (510,356) yields a new equation:
% 23.54/6.33 | (352) e3 = e2
% 23.54/6.33 |
% 23.54/6.33 | Equations (352) can reduce 111 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (449) ~ (all_0_21_21 = e3)
% 23.54/6.33 | (450) all_0_22_22 = e3 | all_0_23_23 = e3
% 23.54/6.33 |
% 23.54/6.33 +-Applying beta-rule and splitting (450), into two cases.
% 23.54/6.33 |-Branch one:
% 23.54/6.33 | (560) all_0_22_22 = e3
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (864,560) yields a new equation:
% 23.54/6.33 | (556) e3 = e1
% 23.54/6.33 |
% 23.54/6.33 | Equations (556) can reduce 163 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (319) ~ (all_0_22_22 = e3)
% 23.54/6.33 | (171) all_0_23_23 = e3
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (171,182) yields a new equation:
% 23.54/6.33 | (564) e3 = e0
% 23.54/6.33 |
% 23.54/6.33 | Simplifying 564 yields:
% 23.54/6.33 | (323) e3 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (323) can reduce 3 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (606) ~ (all_0_12_12 = e0)
% 23.54/6.33 | (1766) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 23.54/6.33 |
% 23.54/6.33 +-Applying beta-rule and splitting (1766), into two cases.
% 23.54/6.33 |-Branch one:
% 23.54/6.33 | (447) all_0_13_13 = e0
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (447,444) yields a new equation:
% 23.54/6.33 | (543) e1 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (543) can reduce 157 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (373) ~ (all_0_13_13 = e0)
% 23.54/6.33 | (3431) all_0_14_14 = e0 | all_0_15_15 = e0
% 23.54/6.33 |
% 23.54/6.33 +-Applying beta-rule and splitting (3431), into two cases.
% 23.54/6.33 |-Branch one:
% 23.54/6.33 | (529) all_0_14_14 = e0
% 23.54/6.33 |
% 23.54/6.33 | Combining equations (529,522) yields a new equation:
% 23.54/6.33 | (500) e2 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (500) can reduce 29 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (470) ~ (all_0_14_14 = e0)
% 23.54/6.33 | (270) all_0_15_15 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (270) can reduce 184 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (975) ~ (all_0_22_22 = e1)
% 23.54/6.33 | (583) all_0_22_22 = e0
% 23.54/6.33 |
% 23.54/6.33 | Equations (583) can reduce 188 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (456) ~ (all_0_19_19 = e2)
% 23.54/6.33 | (175) all_0_23_23 = e2
% 23.54/6.33 |
% 23.54/6.33 | Equations (175) can reduce 169 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (2031) all_0_4_4 = e3
% 23.54/6.33 | (14443) ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e1)
% 23.54/6.33 |
% 23.54/6.33 +-Applying beta-rule and splitting (14443), into two cases.
% 23.54/6.33 |-Branch one:
% 23.54/6.33 | (167) ~ (all_0_13_13 = e1)
% 23.54/6.33 |
% 23.54/6.33 | Equations (444) can reduce 167 to:
% 23.54/6.33 | (172) $false
% 23.54/6.33 |
% 23.54/6.33 |-The branch is then unsatisfiable
% 23.54/6.33 |-Branch two:
% 23.54/6.33 | (444) all_0_13_13 = e1
% 23.56/6.34 | (7040) ~ (all_0_5_5 = e0)
% 23.56/6.34 |
% 23.56/6.34 | Equations (15351) can reduce 7040 to:
% 23.56/6.34 | (172) $false
% 23.56/6.34 |
% 23.56/6.34 |-The branch is then unsatisfiable
% 23.56/6.34 |-Branch two:
% 23.56/6.34 | (1184) ~ (all_0_17_17 = e0)
% 23.56/6.34 | (1185) all_0_21_21 = e0
% 23.56/6.34 |
% 23.56/6.34 | Combining equations (510,1185) yields a new equation:
% 23.56/6.34 | (499) e2 = e0
% 23.56/6.34 |
% 23.56/6.34 | Simplifying 499 yields:
% 23.56/6.34 | (500) e2 = e0
% 23.56/6.34 |
% 23.56/6.34 | Equations (500) can reduce 29 to:
% 23.56/6.34 | (172) $false
% 23.56/6.34 |
% 23.56/6.34 |-The branch is then unsatisfiable
% 23.56/6.34 |-Branch two:
% 23.56/6.34 | (514) ~ (all_0_21_21 = e2)
% 23.56/6.34 | (515) all_0_22_22 = e2 | all_0_23_23 = e2
% 23.56/6.34 |
% 23.56/6.34 +-Applying beta-rule and splitting (515), into two cases.
% 23.56/6.34 |-Branch one:
% 23.56/6.34 | (520) all_0_22_22 = e2
% 23.56/6.34 |
% 23.56/6.34 | Equations (520) can reduce 531 to:
% 23.56/6.34 | (172) $false
% 23.56/6.34 |
% 23.56/6.34 |-The branch is then unsatisfiable
% 23.56/6.34 |-Branch two:
% 23.56/6.34 | (531) ~ (all_0_22_22 = e2)
% 23.56/6.34 | (175) all_0_23_23 = e2
% 23.56/6.34 |
% 23.56/6.34 | Equations (175) can reduce 169 to:
% 23.56/6.34 | (172) $false
% 23.56/6.34 |
% 23.56/6.34 |-The branch is then unsatisfiable
% 23.56/6.34 |-Branch two:
% 23.56/6.34 | (175) all_0_23_23 = e2
% 23.56/6.34 | (1185) all_0_21_21 = e0
% 23.56/6.34 |
% 23.56/6.34 | Equations (175) can reduce 131 to:
% 23.56/6.34 | (343) ~ (all_0_11_11 = e2)
% 23.56/6.34 |
% 23.56/6.34 | Equations (1185) can reduce 76 to:
% 23.56/6.34 | (1184) ~ (all_0_17_17 = e0)
% 23.56/6.34 |
% 23.56/6.34 | Equations (1185) can reduce 7 to:
% 23.56/6.34 | (186) ~ (all_0_20_20 = e0)
% 23.56/6.34 |
% 23.56/6.34 | Equations (175) can reduce 156 to:
% 23.56/6.34 | (466) ~ (all_0_20_20 = e2)
% 23.56/6.34 |
% 23.56/6.35 | Equations (1185) can reduce 150 to:
% 23.56/6.35 | (659) ~ (all_0_22_22 = e0)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 659 yields:
% 23.56/6.35 | (188) ~ (all_0_22_22 = e0)
% 23.56/6.35 |
% 23.56/6.35 | Equations (1185,175) can reduce 31 to:
% 23.56/6.35 | (191) ~ (e2 = e0)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 191 yields:
% 23.56/6.35 | (29) ~ (e2 = e0)
% 23.56/6.35 |
% 23.56/6.35 | Equations (1185) can reduce 969 to:
% 23.56/6.35 | (193) ~ (e1 = e0)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 193 yields:
% 23.56/6.35 | (157) ~ (e1 = e0)
% 23.56/6.35 |
% 23.56/6.35 | Equations (175) can reduce 39 to:
% 23.56/6.35 | (531) ~ (all_0_22_22 = e2)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (61), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (235) all_0_9_9 = e2
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (338,235) yields a new equation:
% 23.56/6.35 | (511) e3 = e2
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 511 yields:
% 23.56/6.35 | (352) e3 = e2
% 23.56/6.35 |
% 23.56/6.35 | Equations (352) can reduce 111 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (383) ~ (all_0_9_9 = e2)
% 23.56/6.35 | (930) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (930), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (382) all_0_13_13 = e2
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (444,382) yields a new equation:
% 23.56/6.35 | (742) e2 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (742) can reduce 75 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (253) ~ (all_0_13_13 = e2)
% 23.56/6.35 | (939) all_0_17_17 = e2 | all_0_21_21 = e2
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (939), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (282) all_0_17_17 = e2
% 23.56/6.35 |
% 23.56/6.35 | Equations (282) can reduce 80 to:
% 23.56/6.35 | (732) ~ (all_0_18_18 = e2)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 732 yields:
% 23.56/6.35 | (195) ~ (all_0_18_18 = e2)
% 23.56/6.35 |
% 23.56/6.35 | Equations (282) can reduce 315 to:
% 23.56/6.35 | (345) ~ (e3 = e2)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 345 yields:
% 23.56/6.35 | (111) ~ (e3 = e2)
% 23.56/6.35 |
% 23.56/6.35 | Equations (282) can reduce 310 to:
% 23.56/6.35 | (75) ~ (e2 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Equations (282) can reduce 1184 to:
% 23.56/6.35 | (29) ~ (e2 = e0)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (37), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (200) all_0_8_8 = e3
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (492,200) yields a new equation:
% 23.56/6.35 | (352) e3 = e2
% 23.56/6.35 |
% 23.56/6.35 | Equations (352) can reduce 111 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (232) ~ (all_0_8_8 = e3)
% 23.56/6.35 | (4875) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 23.56/6.35 |
% 23.56/6.35 | Equations (492) can reduce 232 to:
% 23.56/6.35 | (345) ~ (e3 = e2)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 345 yields:
% 23.56/6.35 | (111) ~ (e3 = e2)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (4875), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (382) all_0_13_13 = e2
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (444,382) yields a new equation:
% 23.56/6.35 | (742) e2 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (742) can reduce 75 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (253) ~ (all_0_13_13 = e2)
% 23.56/6.35 | (4885) all_0_18_18 = e1 | all_0_23_23 = e0
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (4885), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (220) all_0_18_18 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (220) can reduce 28 to:
% 23.56/6.35 | (770) ~ (all_0_16_16 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Equations (220) can reduce 43 to:
% 23.56/6.35 | (311) ~ (all_0_19_19 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 311 yields:
% 23.56/6.35 | (312) ~ (all_0_19_19 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Equations (220) can reduce 119 to:
% 23.56/6.35 | (3509) ~ (all_0_22_22 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 3509 yields:
% 23.56/6.35 | (975) ~ (all_0_22_22 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Equations (220) can reduce 195 to:
% 23.56/6.35 | (924) ~ (e2 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 924 yields:
% 23.56/6.35 | (75) ~ (e2 = e1)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (142), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (418) all_0_11_11 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (418) can reduce 204 to:
% 23.56/6.35 | (313) ~ (e3 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 313 yields:
% 23.56/6.35 | (163) ~ (e3 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Equations (418) can reduce 343 to:
% 23.56/6.35 | (924) ~ (e2 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 924 yields:
% 23.56/6.35 | (75) ~ (e2 = e1)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (50), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (695) all_0_10_10 = e3
% 23.56/6.35 |
% 23.56/6.35 | Equations (695) can reduce 306 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (306) ~ (all_0_10_10 = e3)
% 23.56/6.35 | (1231) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (27), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (695) all_0_10_10 = e3
% 23.56/6.35 |
% 23.56/6.35 | Equations (695) can reduce 306 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (306) ~ (all_0_10_10 = e3)
% 23.56/6.35 | (698) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (143), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (560) all_0_22_22 = e3
% 23.56/6.35 |
% 23.56/6.35 | Equations (560) can reduce 14 to:
% 23.56/6.35 | (210) ~ (all_0_20_20 = e3)
% 23.56/6.35 |
% 23.56/6.35 | Equations (560) can reduce 531 to:
% 23.56/6.35 | (111) ~ (e3 = e2)
% 23.56/6.35 |
% 23.56/6.35 | Equations (560) can reduce 975 to:
% 23.56/6.35 | (163) ~ (e3 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Equations (560) can reduce 188 to:
% 23.56/6.35 | (3) ~ (e3 = e0)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (145), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (395) all_0_10_10 = e0
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (70), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (327) all_0_20_20 = e3
% 23.56/6.35 |
% 23.56/6.35 | Equations (327) can reduce 210 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (210) ~ (all_0_20_20 = e3)
% 23.56/6.35 | (330) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (330), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (335) all_0_20_20 = e2
% 23.56/6.35 |
% 23.56/6.35 | Equations (335) can reduce 466 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (466) ~ (all_0_20_20 = e2)
% 23.56/6.35 | (467) all_0_20_20 = e1 | all_0_20_20 = e0
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (467), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (952) all_0_20_20 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (952) can reduce 210 to:
% 23.56/6.35 | (313) ~ (e3 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 313 yields:
% 23.56/6.35 | (163) ~ (e3 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Equations (952) can reduce 466 to:
% 23.56/6.35 | (924) ~ (e2 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 924 yields:
% 23.56/6.35 | (75) ~ (e2 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Equations (952) can reduce 186 to:
% 23.56/6.35 | (157) ~ (e1 = e0)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (99), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (223) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (223), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (224) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))) | (all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (224), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (225) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)))
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (225), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (226) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (226), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (227) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))) | (all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (227), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (228) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)))
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (228), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (229) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (229), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (230) (all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))) | (all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)))
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (230), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (231) all_0_9_9 = e2 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (231) yields:
% 23.56/6.35 | (232) ~ (all_0_8_8 = e3)
% 23.56/6.35 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.56/6.35 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.56/6.35 | (235) all_0_9_9 = e2
% 23.56/6.35 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (235,338) yields a new equation:
% 23.56/6.35 | (352) e3 = e2
% 23.56/6.35 |
% 23.56/6.35 | Equations (352) can reduce 111 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (238) all_0_10_10 = e1 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (238) yields:
% 23.56/6.35 | (232) ~ (all_0_8_8 = e3)
% 23.56/6.35 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.56/6.35 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.56/6.35 | (242) all_0_10_10 = e1
% 23.56/6.35 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (242,395) yields a new equation:
% 23.56/6.35 | (542) e1 = e0
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 542 yields:
% 23.56/6.35 | (543) e1 = e0
% 23.56/6.35 |
% 23.56/6.35 | Equations (543) can reduce 157 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (245) all_0_11_11 = e0 & ~ (all_0_8_8 = e3) & ( ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3))
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (245) yields:
% 23.56/6.35 | (232) ~ (all_0_8_8 = e3)
% 23.56/6.35 | (247) all_0_11_11 = e0
% 23.56/6.35 | (233) ~ (all_0_16_16 = e1) | ~ (all_0_18_18 = e3)
% 23.56/6.35 | (234) ~ (all_0_20_20 = e0) | ~ (all_0_23_23 = e3)
% 23.56/6.35 | (236) ~ (all_0_12_12 = e2) | ~ (all_0_13_13 = e3)
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (247,418) yields a new equation:
% 23.56/6.35 | (543) e1 = e0
% 23.56/6.35 |
% 23.56/6.35 | Equations (543) can reduce 157 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (252) all_0_12_12 = e3 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (252) yields:
% 23.56/6.35 | (253) ~ (all_0_13_13 = e2)
% 23.56/6.35 | (254) all_0_12_12 = e3
% 23.56/6.35 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.56/6.35 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.56/6.35 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (255), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (169) ~ (all_0_23_23 = e2)
% 23.56/6.35 |
% 23.56/6.35 | Equations (175) can reduce 169 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (175) all_0_23_23 = e2
% 23.56/6.35 | (187) ~ (all_0_21_21 = e0)
% 23.56/6.35 |
% 23.56/6.35 | Equations (1185) can reduce 187 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (259) all_0_14_14 = e1 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (259) yields:
% 23.56/6.35 | (253) ~ (all_0_13_13 = e2)
% 23.56/6.35 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.56/6.35 | (262) all_0_14_14 = e1
% 23.56/6.35 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.56/6.35 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (522,262) yields a new equation:
% 23.56/6.35 | (966) e2 = e1
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 966 yields:
% 23.56/6.35 | (742) e2 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (742) can reduce 75 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (266) all_0_15_15 = e0 & ~ (all_0_13_13 = e2) & ( ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)) & ( ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2))
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (266) yields:
% 23.56/6.35 | (253) ~ (all_0_13_13 = e2)
% 23.56/6.35 | (255) ~ (all_0_21_21 = e0) | ~ (all_0_23_23 = e2)
% 23.56/6.35 | (256) ~ (all_0_8_8 = e2) | ~ (all_0_9_9 = e3)
% 23.56/6.35 | (270) all_0_15_15 = e0
% 23.56/6.35 | (257) ~ (all_0_17_17 = e1) | ~ (all_0_18_18 = e2)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (256), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (198) ~ (all_0_8_8 = e2)
% 23.56/6.35 |
% 23.56/6.35 | Equations (492) can reduce 198 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (492) all_0_8_8 = e2
% 23.56/6.35 | (202) ~ (all_0_9_9 = e3)
% 23.56/6.35 |
% 23.56/6.35 | Equations (338) can reduce 202 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (273) all_0_16_16 = e3 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (273) yields:
% 23.56/6.35 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.56/6.35 | (275) ~ (all_0_18_18 = e1)
% 23.56/6.35 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.56/6.35 | (277) all_0_16_16 = e3
% 23.56/6.35 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.56/6.35 |
% 23.56/6.35 | Equations (220) can reduce 275 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (280) all_0_17_17 = e2 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (280) yields:
% 23.56/6.35 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.56/6.35 | (282) all_0_17_17 = e2
% 23.56/6.35 | (275) ~ (all_0_18_18 = e1)
% 23.56/6.35 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.56/6.35 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.56/6.35 |
% 23.56/6.35 | Equations (220) can reduce 275 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (287) all_0_19_19 = e0 & ~ (all_0_18_18 = e1) & ( ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)) & ( ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)) & ( ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1))
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (287) yields:
% 23.56/6.35 | (274) ~ (all_0_13_13 = e1) | ~ (all_0_14_14 = e2)
% 23.56/6.35 | (275) ~ (all_0_18_18 = e1)
% 23.56/6.35 | (276) ~ (all_0_22_22 = e0) | ~ (all_0_23_23 = e1)
% 23.56/6.35 | (291) all_0_19_19 = e0
% 23.56/6.35 | (278) ~ (all_0_8_8 = e1) | ~ (all_0_10_10 = e3)
% 23.56/6.35 |
% 23.56/6.35 | Equations (220) can reduce 275 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (294) ~ (all_0_23_23 = e0) & ( ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)) & ( ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)) & ( ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)) & (all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Applying alpha-rule on (294) yields:
% 23.56/6.35 | (295) all_0_20_20 = e3 | all_0_21_21 = e2 | all_0_22_22 = e1
% 23.56/6.35 | (296) ~ (all_0_23_23 = e0)
% 23.56/6.35 | (297) ~ (all_0_18_18 = e0) | ~ (all_0_19_19 = e1)
% 23.56/6.35 | (298) ~ (all_0_13_13 = e0) | ~ (all_0_15_15 = e2)
% 23.56/6.35 | (299) ~ (all_0_8_8 = e0) | ~ (all_0_11_11 = e3)
% 23.56/6.35 |
% 23.56/6.35 | Equations (175) can reduce 296 to:
% 23.56/6.35 | (29) ~ (e2 = e0)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (295), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (327) all_0_20_20 = e3
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (952,327) yields a new equation:
% 23.56/6.35 | (556) e3 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (556) can reduce 163 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (210) ~ (all_0_20_20 = e3)
% 23.56/6.35 | (4710) all_0_21_21 = e2 | all_0_22_22 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (952) can reduce 210 to:
% 23.56/6.35 | (313) ~ (e3 = e1)
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 313 yields:
% 23.56/6.35 | (163) ~ (e3 = e1)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (4710), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (510) all_0_21_21 = e2
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (1185,510) yields a new equation:
% 23.56/6.35 | (500) e2 = e0
% 23.56/6.35 |
% 23.56/6.35 | Equations (500) can reduce 29 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (514) ~ (all_0_21_21 = e2)
% 23.56/6.35 | (864) all_0_22_22 = e1
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (560,864) yields a new equation:
% 23.56/6.35 | (555) e3 = e1
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 555 yields:
% 23.56/6.35 | (556) e3 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (556) can reduce 163 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (963) ~ (all_0_20_20 = e1)
% 23.56/6.35 | (613) all_0_20_20 = e0
% 23.56/6.35 |
% 23.56/6.35 | Equations (613) can reduce 186 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (426) ~ (all_0_10_10 = e0)
% 23.56/6.35 | (427) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (427), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (529) all_0_14_14 = e0
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (522,529) yields a new equation:
% 23.56/6.35 | (499) e2 = e0
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 499 yields:
% 23.56/6.35 | (500) e2 = e0
% 23.56/6.35 |
% 23.56/6.35 | Equations (500) can reduce 29 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (470) ~ (all_0_14_14 = e0)
% 23.56/6.35 | (572) all_0_18_18 = e0 | all_0_22_22 = e0
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (128), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (952) all_0_20_20 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (952) can reduce 186 to:
% 23.56/6.35 | (157) ~ (e1 = e0)
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (572), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (302) all_0_18_18 = e0
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (220,302) yields a new equation:
% 23.56/6.35 | (542) e1 = e0
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 542 yields:
% 23.56/6.35 | (543) e1 = e0
% 23.56/6.35 |
% 23.56/6.35 | Equations (543) can reduce 157 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (197) ~ (all_0_18_18 = e0)
% 23.56/6.35 | (583) all_0_22_22 = e0
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (560,583) yields a new equation:
% 23.56/6.35 | (564) e3 = e0
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 564 yields:
% 23.56/6.35 | (323) e3 = e0
% 23.56/6.35 |
% 23.56/6.35 | Equations (323) can reduce 3 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (963) ~ (all_0_20_20 = e1)
% 23.56/6.35 | (964) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (964), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (554) all_0_21_21 = e1
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (554,1185) yields a new equation:
% 23.56/6.35 | (542) e1 = e0
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 542 yields:
% 23.56/6.35 | (543) e1 = e0
% 23.56/6.35 |
% 23.56/6.35 | Equations (543) can reduce 157 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (969) ~ (all_0_21_21 = e1)
% 23.56/6.35 | (970) all_0_22_22 = e1 | all_0_23_23 = e1
% 23.56/6.35 |
% 23.56/6.35 +-Applying beta-rule and splitting (970), into two cases.
% 23.56/6.35 |-Branch one:
% 23.56/6.35 | (864) all_0_22_22 = e1
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (864,560) yields a new equation:
% 23.56/6.35 | (556) e3 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (556) can reduce 163 to:
% 23.56/6.35 | (172) $false
% 23.56/6.35 |
% 23.56/6.35 |-The branch is then unsatisfiable
% 23.56/6.35 |-Branch two:
% 23.56/6.35 | (975) ~ (all_0_22_22 = e1)
% 23.56/6.35 | (179) all_0_23_23 = e1
% 23.56/6.35 |
% 23.56/6.35 | Combining equations (175,179) yields a new equation:
% 23.56/6.35 | (966) e2 = e1
% 23.56/6.35 |
% 23.56/6.35 | Simplifying 966 yields:
% 23.56/6.35 | (742) e2 = e1
% 23.56/6.35 |
% 23.56/6.35 | Equations (742) can reduce 75 to:
% 23.56/6.35 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (319) ~ (all_0_22_22 = e3)
% 23.56/6.36 | (2882) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 23.56/6.36 |
% 23.56/6.36 +-Applying beta-rule and splitting (698), into two cases.
% 23.56/6.36 |-Branch one:
% 23.56/6.36 | (516) all_0_14_14 = e3
% 23.56/6.36 |
% 23.56/6.36 | Combining equations (522,516) yields a new equation:
% 23.56/6.36 | (352) e3 = e2
% 23.56/6.36 |
% 23.56/6.36 | Equations (352) can reduce 111 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (308) ~ (all_0_14_14 = e3)
% 23.56/6.36 | (703) all_0_18_18 = e3 | all_0_22_22 = e3
% 23.56/6.36 |
% 23.56/6.36 +-Applying beta-rule and splitting (703), into two cases.
% 23.56/6.36 |-Branch one:
% 23.56/6.36 | (212) all_0_18_18 = e3
% 23.56/6.36 |
% 23.56/6.36 | Combining equations (212,220) yields a new equation:
% 23.56/6.36 | (555) e3 = e1
% 23.56/6.36 |
% 23.56/6.36 | Simplifying 555 yields:
% 23.56/6.36 | (556) e3 = e1
% 23.56/6.36 |
% 23.56/6.36 | Equations (556) can reduce 163 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (211) ~ (all_0_18_18 = e3)
% 23.56/6.36 | (560) all_0_22_22 = e3
% 23.56/6.36 |
% 23.56/6.36 | Equations (560) can reduce 319 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (413) ~ (all_0_11_11 = e1)
% 23.56/6.36 | (489) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 23.56/6.36 |
% 23.56/6.36 +-Applying beta-rule and splitting (489), into two cases.
% 23.56/6.36 |-Branch one:
% 23.56/6.36 | (490) all_0_15_15 = e1
% 23.56/6.36 |
% 23.56/6.36 | Equations (490) can reduce 536 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (536) ~ (all_0_15_15 = e1)
% 23.56/6.36 | (537) all_0_19_19 = e1 | all_0_23_23 = e1
% 23.56/6.36 |
% 23.56/6.36 +-Applying beta-rule and splitting (146), into two cases.
% 23.56/6.36 |-Branch one:
% 23.56/6.36 | (621) all_0_8_8 = e1
% 23.56/6.36 |
% 23.56/6.36 | Combining equations (492,621) yields a new equation:
% 23.56/6.36 | (966) e2 = e1
% 23.56/6.36 |
% 23.56/6.36 | Simplifying 966 yields:
% 23.56/6.36 | (742) e2 = e1
% 23.56/6.36 |
% 23.56/6.36 | Equations (742) can reduce 75 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (196) ~ (all_0_8_8 = e1)
% 23.56/6.36 | (778) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 23.56/6.36 |
% 23.56/6.36 +-Applying beta-rule and splitting (778), into two cases.
% 23.56/6.36 |-Branch one:
% 23.56/6.36 | (389) all_0_12_12 = e1
% 23.56/6.36 |
% 23.56/6.36 | Equations (389) can reduce 307 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (307) ~ (all_0_12_12 = e1)
% 23.56/6.36 | (2268) all_0_16_16 = e1 | all_0_20_20 = e1
% 23.56/6.36 |
% 23.56/6.36 +-Applying beta-rule and splitting (2268), into two cases.
% 23.56/6.36 |-Branch one:
% 23.56/6.36 | (305) all_0_16_16 = e1
% 23.56/6.36 |
% 23.56/6.36 | Equations (305) can reduce 770 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (770) ~ (all_0_16_16 = e1)
% 23.56/6.36 | (952) all_0_20_20 = e1
% 23.56/6.36 |
% 23.56/6.36 | Equations (952) can reduce 466 to:
% 23.56/6.36 | (924) ~ (e2 = e1)
% 23.56/6.36 |
% 23.56/6.36 | Simplifying 924 yields:
% 23.56/6.36 | (75) ~ (e2 = e1)
% 23.56/6.36 |
% 23.56/6.36 +-Applying beta-rule and splitting (537), into two cases.
% 23.56/6.36 |-Branch one:
% 23.56/6.36 | (458) all_0_19_19 = e1
% 23.56/6.36 |
% 23.56/6.36 | Equations (458) can reduce 312 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (312) ~ (all_0_19_19 = e1)
% 23.56/6.36 | (179) all_0_23_23 = e1
% 23.56/6.36 |
% 23.56/6.36 | Combining equations (175,179) yields a new equation:
% 23.56/6.36 | (966) e2 = e1
% 23.56/6.36 |
% 23.56/6.36 | Simplifying 966 yields:
% 23.56/6.36 | (742) e2 = e1
% 23.56/6.36 |
% 23.56/6.36 | Equations (742) can reduce 75 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (275) ~ (all_0_18_18 = e1)
% 23.56/6.36 | (182) all_0_23_23 = e0
% 23.56/6.36 |
% 23.56/6.36 | Combining equations (182,175) yields a new equation:
% 23.56/6.36 | (500) e2 = e0
% 23.56/6.36 |
% 23.56/6.36 | Equations (500) can reduce 29 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 |-Branch two:
% 23.56/6.36 | (344) ~ (all_0_17_17 = e2)
% 23.56/6.36 | (510) all_0_21_21 = e2
% 23.56/6.36 |
% 23.56/6.36 | Combining equations (1185,510) yields a new equation:
% 23.56/6.36 | (500) e2 = e0
% 23.56/6.36 |
% 23.56/6.36 | Equations (500) can reduce 29 to:
% 23.56/6.36 | (172) $false
% 23.56/6.36 |
% 23.56/6.36 |-The branch is then unsatisfiable
% 23.56/6.36 % SZS output end Proof for theBenchmark
% 23.56/6.36
% 23.56/6.36 5745ms
%------------------------------------------------------------------------------