TSTP Solution File: ALG146+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG146+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.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 15:36:41 EDT 2022
% Result : Unsatisfiable 6.49s 2.10s
% Output : Proof 20.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG146+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n017.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 23:55:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/0.59 ____ _
% 0.45/0.59 ___ / __ \_____(_)___ ________ __________
% 0.45/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.45/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.45/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.45/0.59
% 0.45/0.59 A Theorem Prover for First-Order Logic
% 0.45/0.59 (ePrincess v.1.0)
% 0.45/0.59
% 0.45/0.59 (c) Philipp Rümmer, 2009-2015
% 0.45/0.59 (c) Peter Backeman, 2014-2015
% 0.45/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.45/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.45/0.59 Bug reports to peter@backeman.se
% 0.45/0.59
% 0.45/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.45/0.59
% 0.45/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.47/1.10 Prover 0: Preprocessing ...
% 3.88/1.43 Prover 0: Constructing countermodel ...
% 6.49/2.10 Prover 0: proved (1451ms)
% 6.49/2.10
% 6.49/2.10 No countermodel exists, formula is valid
% 6.49/2.10 % SZS status Unsatisfiable for theBenchmark
% 6.49/2.10
% 6.49/2.10 Generating proof ... found it (size 9559)
% 16.55/4.55
% 16.55/4.55 % SZS output start Proof for theBenchmark
% 16.55/4.55 Assumed formulas after preprocessing and simplification:
% 16.55/4.55 | (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, v15) = v16 & op(v10, v10) = v18 & op(v5, v5) = v20 & op(v0, v0) = 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 = e3 & v11 = e3 & ~ (v10 = e2)) | (v14 = e2 & v11 = e2 & ~ (v15 = e3)) | (v13 = e3 & v7 = e3 & ~ (v5 = e1)) | (v13 = e1 & v7 = e1 & ~ (v15 = e3)) | (v12 = e3 & v3 = e3 & ~ (v0 = e0)) | (v12 = e0 & v3 = e0 & ~ (v15 = e3)) | (v9 = e2 & v6 = e2 & ~ (v5 = e1)) | (v9 = e1 & v6 = e1 & ~ (v10 = e2)) | (v8 = e2 & v2 = e2 & ~ (v0 = e0)) | (v8 = e0 & v2 = e0 & ~ (v10 = e2)) | (v4 = e1 & v1 = e1 & ~ (v0 = e0)) | (v4 = e0 & v1 = e0 & ~ (v5 = e1))))
% 17.03/4.62 | 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:
% 17.03/4.62 | (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, all_0_8_8) = all_0_7_7 & op(all_0_13_13, all_0_13_13) = all_0_5_5 & op(all_0_18_18, all_0_18_18) = all_0_3_3 & op(all_0_23_23, all_0_23_23) = 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 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)) | (all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)))
% 17.03/4.63 |
% 17.03/4.63 | Applying alpha-rule on (1) yields:
% 17.03/4.64 | (2) op(e0, e0) = all_0_23_23
% 17.03/4.64 | (3) ~ (all_0_23_23 = e1) | all_0_22_22 = e0
% 17.03/4.64 | (4) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e3)
% 17.03/4.64 | (5) ~ (all_0_13_13 = all_0_17_17)
% 17.03/4.64 | (6) all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 17.03/4.64 | (7) ~ (all_0_19_19 = all_0_23_23)
% 17.03/4.64 | (8) op(e1, e1) = all_0_18_18
% 17.03/4.64 | (9) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e2)
% 17.03/4.64 | (10) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e2)
% 17.03/4.64 | (11) all_0_9_9 = e0 | all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 17.03/4.64 | (12) ~ (all_0_13_13 = all_0_14_14)
% 17.03/4.64 | (13) ~ (all_0_9_9 = all_0_17_17)
% 17.03/4.64 | (14) all_0_11_11 = e0 | all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 17.03/4.64 | (15) ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e0)
% 17.17/4.64 | (16) op(e2, e3) = all_0_12_12
% 17.17/4.64 | (17) ~ (all_0_9_9 = all_0_21_21)
% 17.17/4.64 | (18) ~ (all_0_9_9 = all_0_13_13)
% 17.17/4.64 | (19) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 17.17/4.64 | (20) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 17.17/4.64 | (21) ~ (all_0_14_14 = all_0_18_18)
% 17.17/4.64 | (22) all_0_20_20 = e3 | all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 17.17/4.64 | (23) all_0_10_10 = e3 | all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 17.17/4.64 | (24) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e1)
% 17.17/4.64 | (25) all_0_13_13 = e3 | all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 17.17/4.64 | (26) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 17.17/4.64 | (27) op(e0, e2) = all_0_21_21
% 17.17/4.64 | (28) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 17.17/4.64 | (29) op(all_0_1_1, e0) = all_0_0_0
% 17.17/4.64 | (30) ~ (all_0_13_13 = e0) | all_0_15_15 = e2
% 17.17/4.64 | (31) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e3)
% 17.17/4.64 | (32) ~ (all_0_16_16 = all_0_19_19)
% 17.17/4.64 | (33) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e0)
% 17.17/4.64 | (34) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e2)
% 17.17/4.64 | (35) ~ (all_0_8_8 = all_0_12_12)
% 17.17/4.64 | (36) op(e2, e1) = all_0_14_14
% 17.17/4.64 | (37) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e2)
% 17.17/4.64 | (38) op(all_0_5_5, e2) = all_0_4_4
% 17.17/4.64 | (39) ~ (all_0_8_8 = all_0_11_11)
% 17.17/4.64 | (40) ~ (all_0_18_18 = e2) | all_0_17_17 = e1
% 17.17/4.64 | (41) ~ (all_0_12_12 = all_0_20_20)
% 17.17/4.64 | (42) ~ (all_0_10_10 = all_0_18_18)
% 17.17/4.64 | (43) all_0_12_12 = e2 | all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 17.17/4.64 | (44) op(all_0_3_3, e1) = all_0_2_2
% 17.17/4.64 | (45) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e1)
% 17.17/4.64 | (46) ~ (all_0_15_15 = all_0_23_23)
% 17.17/4.64 | (47) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 17.17/4.64 | (48) all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 17.17/4.64 | (49) ~ (e2 = e1)
% 17.17/4.64 | (50) ~ (all_0_14_14 = all_0_15_15)
% 17.17/4.64 | (51) all_0_8_8 = e3 | all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 17.17/4.64 | (52) ~ (all_0_10_10 = all_0_11_11)
% 17.17/4.64 | (53) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e3)
% 17.17/4.64 | (54) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 17.17/4.64 | (55) ~ (all_0_22_22 = all_0_23_23)
% 17.17/4.64 | (56) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 17.17/4.64 | (57) op(e0, e1) = all_0_22_22
% 17.17/4.64 | (58) all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 17.17/4.64 | (59) ~ (all_0_8_8 = all_0_10_10)
% 17.17/4.64 | (60) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e2)
% 17.17/4.64 | (61) all_0_9_9 = e3 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 17.17/4.64 | (62) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e0)
% 17.17/4.64 | (63) op(e1, e0) = all_0_19_19
% 17.17/4.64 | (64) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 17.17/4.64 | (65) ~ (all_0_10_10 = all_0_14_14)
% 17.17/4.64 | (66) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e1)
% 17.17/4.64 | (67) ~ (all_0_11_11 = all_0_23_23)
% 17.17/4.64 | (68) op(e0, e3) = all_0_20_20
% 17.17/4.64 | (69) ~ (e3 = e2)
% 17.17/4.64 | (70) all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 17.17/4.64 | (71) ~ (all_0_12_12 = all_0_16_16)
% 17.17/4.64 | (72) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 17.17/4.64 | (73) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e3)
% 17.17/4.64 | (74) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e2)
% 17.17/4.64 | (75) ~ (all_0_20_20 = all_0_21_21)
% 17.17/4.64 | (76) op(e3, e1) = all_0_10_10
% 17.17/4.65 | (77) ~ (all_0_18_18 = e0) | all_0_19_19 = e1
% 17.17/4.65 | (78) op(all_0_23_23, all_0_23_23) = all_0_1_1
% 17.17/4.65 | (79) ~ (all_0_9_9 = all_0_10_10)
% 17.17/4.65 | (80) op(e3, e3) = all_0_8_8
% 17.17/4.65 | (81) ~ (all_0_14_14 = all_0_22_22)
% 17.17/4.65 | (82) all_0_8_8 = e2 | all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 17.17/4.65 | (83) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 17.17/4.65 | (84) ~ (all_0_13_13 = all_0_15_15)
% 17.17/4.65 | (85) ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e1)
% 17.17/4.65 | (86) ~ (all_0_13_13 = e1) | all_0_14_14 = e2
% 17.17/4.65 | (87) ~ (all_0_20_20 = all_0_22_22)
% 17.17/4.65 | (88) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e0)
% 17.17/4.65 | (89) all_0_12_12 = e3 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 17.17/4.65 | (90) ~ (e1 = e0)
% 17.17/4.65 | (91) all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 17.17/4.65 | (92) all_0_12_12 = e0 | all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 17.17/4.65 | (93) ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e0)
% 17.17/4.65 | (94) all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 17.17/4.65 | (95) ~ (all_0_8_8 = e1) | all_0_10_10 = e3
% 17.17/4.65 | (96) all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 17.17/4.65 | (97) ~ (all_0_9_9 = all_0_11_11)
% 17.17/4.65 | (98) ~ (all_0_11_11 = all_0_15_15)
% 17.17/4.65 | (99) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 17.17/4.65 | (100) all_0_10_10 = e3 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 17.17/4.65 | (101) ~ (all_0_18_18 = all_0_22_22)
% 17.17/4.65 | (102) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 17.17/4.65 | (103) op(e3, e0) = all_0_11_11
% 17.17/4.65 | (104) ~ (all_0_8_8 = all_0_16_16)
% 17.17/4.65 | (105) all_0_20_20 = e1 | all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 17.17/4.65 | (106) all_0_11_11 = e3 | all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 17.17/4.65 | (107) ~ (e3 = e0)
% 17.17/4.65 | (108) ~ (all_0_16_16 = all_0_18_18)
% 17.17/4.65 | (109) all_0_8_8 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 17.17/4.65 | (110) all_0_10_10 = e0 | all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 17.17/4.65 | (111) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e3)
% 17.17/4.65 | (112) ~ (all_0_12_12 = all_0_13_13)
% 17.17/4.65 | (113) ~ (all_0_8_8 = all_0_9_9)
% 17.17/4.65 | (114) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e1)
% 17.17/4.65 | (115) ~ (all_0_11_11 = all_0_19_19)
% 17.17/4.65 | (116) op(all_0_18_18, all_0_18_18) = all_0_3_3
% 17.17/4.65 | (117) all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 17.17/4.65 | (118) all_0_20_20 = e0 | all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0
% 17.17/4.65 | (119) all_0_11_11 = e3 | all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 17.17/4.65 | (120) op(all_0_13_13, all_0_13_13) = all_0_5_5
% 17.17/4.65 | (121) ~ (all_0_17_17 = all_0_18_18)
% 17.17/4.65 | (122) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 17.17/4.65 | (123) ~ (all_0_18_18 = all_0_19_19)
% 17.17/4.65 | (124) ~ (all_0_8_8 = e0) | all_0_11_11 = e3
% 17.17/4.65 | (125) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e0)
% 17.17/4.65 | (126) ~ (all_0_18_18 = e3) | all_0_16_16 = e1
% 17.17/4.65 | (127) ~ (all_0_12_12 = all_0_14_14)
% 17.17/4.65 | (128) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 17.17/4.65 | (129) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e3)
% 17.17/4.65 | (130) op(e2, e0) = all_0_15_15
% 17.17/4.65 | (131) ~ (all_0_21_21 = all_0_22_22)
% 17.17/4.65 | (132) all_0_20_20 = e2 | all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 17.17/4.65 | (133) all_0_9_9 = e3 | all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 17.17/4.65 | (134) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 17.17/4.65 | (135) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 17.17/4.65 | (136) ~ (all_0_23_23 = e3) | all_0_20_20 = e0
% 17.17/4.65 | (137) ~ (e2 = e0)
% 17.17/4.65 | (138) op(all_0_8_8, all_0_8_8) = all_0_7_7
% 17.17/4.65 | (139) op(all_0_7_7, e3) = all_0_6_6
% 17.17/4.65 | (140) ~ (all_0_8_8 = e2) | all_0_9_9 = e3
% 17.17/4.65 | (141) op(e2, e2) = all_0_13_13
% 17.17/4.65 | (142) ~ (all_0_13_13 = all_0_21_21)
% 17.17/4.65 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 17.17/4.66 | (144) all_0_12_12 = e3 | all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 17.17/4.66 | (145) ~ (all_0_10_10 = all_0_22_22)
% 17.17/4.66 | (146) ~ (all_0_23_23 = e2) | all_0_21_21 = e0
% 17.17/4.66 | (147) ~ (e3 = e1)
% 17.17/4.66 | (148) ~ (all_0_16_16 = all_0_17_17)
% 17.17/4.66 | (149) ~ (all_0_15_15 = all_0_19_19)
% 17.17/4.66 | (150) ~ (all_0_17_17 = all_0_19_19)
% 17.17/4.66 | (151) ~ (all_0_16_16 = all_0_20_20)
% 17.17/4.66 | (152) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)) | (all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1))
% 17.17/4.66 | (153) ~ (all_0_13_13 = e3) | all_0_12_12 = e2
% 17.17/4.66 | (154) ~ (all_0_17_17 = all_0_21_21)
% 17.17/4.66 | (155) all_0_8_8 = e1 | all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 17.17/4.66 | (156) op(e1, e3) = all_0_16_16
% 17.17/4.66 | (157) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 17.17/4.66 | (158) ~ (all_0_21_21 = all_0_23_23)
% 17.17/4.66 | (159) all_0_8_8 = e3 | all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3
% 17.17/4.66 | (160) op(e1, e2) = all_0_17_17
% 17.17/4.66 | (161) op(e3, e2) = all_0_9_9
% 17.17/4.66 | (162) ~ (all_0_12_12 = all_0_15_15)
% 17.17/4.66 | (163) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 17.17/4.66 | (164) ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e1)
% 17.17/4.66 | (165) ~ (all_0_20_20 = all_0_23_23)
% 17.17/4.66 | (166) ~ (all_0_8_8 = all_0_20_20)
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (86), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (167) ~ (all_0_13_13 = e1)
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (3), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (168) ~ (all_0_23_23 = e1)
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (146), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (169) ~ (all_0_23_23 = e2)
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (136), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (170) ~ (all_0_23_23 = e3)
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (102), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (171) all_0_23_23 = e3
% 17.17/4.66 |
% 17.17/4.66 | Equations (171) can reduce 170 to:
% 17.17/4.66 | (172) $false
% 17.17/4.66 |
% 17.17/4.66 |-The branch is then unsatisfiable
% 17.17/4.66 |-Branch two:
% 17.17/4.66 | (170) ~ (all_0_23_23 = e3)
% 17.17/4.66 | (174) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (174), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (175) all_0_23_23 = e2
% 17.17/4.66 |
% 17.17/4.66 | Equations (175) can reduce 169 to:
% 17.17/4.66 | (172) $false
% 17.17/4.66 |
% 17.17/4.66 |-The branch is then unsatisfiable
% 17.17/4.66 |-Branch two:
% 17.17/4.66 | (169) ~ (all_0_23_23 = e2)
% 17.17/4.66 | (178) all_0_23_23 = e1 | all_0_23_23 = e0
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (178), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (179) all_0_23_23 = e1
% 17.17/4.66 |
% 17.17/4.66 | Equations (179) can reduce 168 to:
% 17.17/4.66 | (172) $false
% 17.17/4.66 |
% 17.17/4.66 |-The branch is then unsatisfiable
% 17.17/4.66 |-Branch two:
% 17.17/4.66 | (168) ~ (all_0_23_23 = e1)
% 17.17/4.66 | (182) all_0_23_23 = e0
% 17.17/4.66 |
% 17.17/4.66 | Equations (182) can reduce 67 to:
% 17.17/4.66 | (183) ~ (all_0_11_11 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Equations (182) can reduce 46 to:
% 17.17/4.66 | (184) ~ (all_0_15_15 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Equations (182) can reduce 7 to:
% 17.17/4.66 | (185) ~ (all_0_19_19 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Equations (182) can reduce 165 to:
% 17.17/4.66 | (186) ~ (all_0_20_20 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Equations (182) can reduce 158 to:
% 17.17/4.66 | (187) ~ (all_0_21_21 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Equations (182) can reduce 55 to:
% 17.17/4.66 | (188) ~ (all_0_22_22 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Equations (182) can reduce 170 to:
% 17.17/4.66 | (189) ~ (e3 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Simplifying 189 yields:
% 17.17/4.66 | (107) ~ (e3 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Equations (182) can reduce 169 to:
% 17.17/4.66 | (191) ~ (e2 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Simplifying 191 yields:
% 17.17/4.66 | (137) ~ (e2 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Equations (182) can reduce 168 to:
% 17.17/4.66 | (193) ~ (e1 = e0)
% 17.17/4.66 |
% 17.17/4.66 | Simplifying 193 yields:
% 17.17/4.66 | (90) ~ (e1 = e0)
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (95), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (195) ~ (all_0_8_8 = e1)
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (140), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (196) ~ (all_0_8_8 = e2)
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (124), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (197) ~ (all_0_8_8 = e0)
% 17.17/4.66 |
% 17.17/4.66 +-Applying beta-rule and splitting (94), into two cases.
% 17.17/4.66 |-Branch one:
% 17.17/4.66 | (198) all_0_8_8 = e3
% 17.17/4.66 |
% 17.17/4.66 | Equations (198) can reduce 113 to:
% 17.17/4.66 | (199) ~ (all_0_9_9 = e3)
% 17.17/4.66 |
% 17.17/4.66 | Simplifying 199 yields:
% 17.17/4.66 | (200) ~ (all_0_9_9 = e3)
% 17.17/4.66 |
% 17.17/4.66 | Equations (198) can reduce 59 to:
% 17.17/4.66 | (201) ~ (all_0_10_10 = e3)
% 17.17/4.66 |
% 17.17/4.66 | Simplifying 201 yields:
% 17.17/4.66 | (202) ~ (all_0_10_10 = e3)
% 17.17/4.66 |
% 17.17/4.66 | Equations (198) can reduce 39 to:
% 17.17/4.67 | (203) ~ (all_0_11_11 = e3)
% 17.17/4.67 |
% 17.17/4.67 | Simplifying 203 yields:
% 17.17/4.67 | (204) ~ (all_0_11_11 = e3)
% 17.17/4.67 |
% 17.17/4.67 | Equations (198) can reduce 35 to:
% 17.17/4.67 | (205) ~ (all_0_12_12 = e3)
% 17.17/4.67 |
% 17.17/4.67 | Simplifying 205 yields:
% 17.17/4.67 | (206) ~ (all_0_12_12 = e3)
% 17.17/4.67 |
% 17.17/4.67 | Equations (198) can reduce 104 to:
% 17.17/4.67 | (207) ~ (all_0_16_16 = e3)
% 17.17/4.67 |
% 17.17/4.67 | Simplifying 207 yields:
% 17.17/4.67 | (208) ~ (all_0_16_16 = e3)
% 17.17/4.67 |
% 17.17/4.67 | Equations (198) can reduce 166 to:
% 17.17/4.67 | (209) ~ (all_0_20_20 = e3)
% 17.17/4.67 |
% 17.17/4.67 | Simplifying 209 yields:
% 17.17/4.67 | (210) ~ (all_0_20_20 = e3)
% 17.17/4.67 |
% 17.17/4.67 | Equations (198) can reduce 196 to:
% 17.17/4.67 | (69) ~ (e3 = e2)
% 17.17/4.67 |
% 17.17/4.67 | Equations (198) can reduce 195 to:
% 17.17/4.67 | (147) ~ (e3 = e1)
% 17.17/4.67 |
% 17.17/4.67 | Equations (198) can reduce 197 to:
% 17.17/4.67 | (107) ~ (e3 = e0)
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (126), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (214) ~ (all_0_18_18 = e3)
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (77), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (215) ~ (all_0_18_18 = e0)
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (153), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (216) ~ (all_0_13_13 = e3)
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (40), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (217) ~ (all_0_18_18 = e2)
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (163), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (218) all_0_18_18 = e3
% 17.17/4.67 |
% 17.17/4.67 | Equations (218) can reduce 214 to:
% 17.17/4.67 | (172) $false
% 17.17/4.67 |
% 17.17/4.67 |-The branch is then unsatisfiable
% 17.17/4.67 |-Branch two:
% 17.17/4.67 | (214) ~ (all_0_18_18 = e3)
% 17.17/4.67 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (221), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (222) all_0_18_18 = e2
% 17.17/4.67 |
% 17.17/4.67 | Equations (222) can reduce 217 to:
% 17.17/4.67 | (172) $false
% 17.17/4.67 |
% 17.17/4.67 |-The branch is then unsatisfiable
% 17.17/4.67 |-Branch two:
% 17.17/4.67 | (217) ~ (all_0_18_18 = e2)
% 17.17/4.67 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (225), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (226) all_0_18_18 = e1
% 17.17/4.67 |
% 17.17/4.67 | Equations (226) can reduce 108 to:
% 17.17/4.67 | (227) ~ (all_0_16_16 = e1)
% 17.17/4.67 |
% 17.17/4.67 | Equations (226) can reduce 121 to:
% 17.17/4.67 | (228) ~ (all_0_17_17 = e1)
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (152), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (229), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (230), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (231), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (232), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (233), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (234), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (235), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.17/4.67 |
% 17.17/4.67 +-Applying beta-rule and splitting (236), into two cases.
% 17.17/4.67 |-Branch one:
% 17.17/4.67 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.17/4.68 |
% 17.17/4.68 +-Applying beta-rule and splitting (237), into two cases.
% 17.17/4.68 |-Branch one:
% 17.17/4.68 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.17/4.68 |
% 17.17/4.68 +-Applying beta-rule and splitting (238), into two cases.
% 17.17/4.68 |-Branch one:
% 17.17/4.68 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (239) yields:
% 17.17/4.68 | (240) all_0_9_9 = e3
% 17.17/4.68 | (241) all_0_12_12 = e3
% 17.17/4.68 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.68 |
% 17.17/4.68 | Equations (241) can reduce 206 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (244) yields:
% 17.17/4.68 | (245) all_0_9_9 = e2
% 17.17/4.68 | (246) all_0_12_12 = e2
% 17.17/4.68 | (247) ~ (all_0_8_8 = e3)
% 17.17/4.68 |
% 17.17/4.68 | Equations (198) can reduce 247 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (249) yields:
% 17.17/4.68 | (250) all_0_10_10 = e3
% 17.17/4.68 | (251) all_0_16_16 = e3
% 17.17/4.68 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.68 |
% 17.17/4.68 | Equations (226) can reduce 252 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (254) yields:
% 17.17/4.68 | (255) all_0_10_10 = e1
% 17.17/4.68 | (256) all_0_16_16 = e1
% 17.17/4.68 | (247) ~ (all_0_8_8 = e3)
% 17.17/4.68 |
% 17.17/4.68 | Equations (256) can reduce 227 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (259) yields:
% 17.17/4.68 | (260) all_0_11_11 = e3
% 17.17/4.68 | (261) all_0_20_20 = e3
% 17.17/4.68 | (262) ~ (all_0_23_23 = e0)
% 17.17/4.68 |
% 17.17/4.68 | Equations (182) can reduce 262 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (264) yields:
% 17.17/4.68 | (265) all_0_11_11 = e0
% 17.17/4.68 | (266) all_0_20_20 = e0
% 17.17/4.68 | (247) ~ (all_0_8_8 = e3)
% 17.17/4.68 |
% 17.17/4.68 | Equations (266) can reduce 186 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (269) yields:
% 17.17/4.68 | (270) all_0_14_14 = e2
% 17.17/4.68 | (271) all_0_17_17 = e2
% 17.17/4.68 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.68 |
% 17.17/4.68 | Equations (226) can reduce 252 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (274) yields:
% 17.17/4.68 | (275) all_0_14_14 = e1
% 17.17/4.68 | (276) all_0_17_17 = e1
% 17.17/4.68 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.68 |
% 17.17/4.68 | Equations (276) can reduce 228 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (279) yields:
% 17.17/4.68 | (280) all_0_15_15 = e2
% 17.17/4.68 | (281) all_0_21_21 = e2
% 17.17/4.68 | (262) ~ (all_0_23_23 = e0)
% 17.17/4.68 |
% 17.17/4.68 | Equations (182) can reduce 262 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (284) yields:
% 17.17/4.68 | (285) all_0_15_15 = e0
% 17.17/4.68 | (286) all_0_21_21 = e0
% 17.17/4.68 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.68 |
% 17.17/4.68 | Equations (286) can reduce 187 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (289) yields:
% 17.17/4.68 | (290) all_0_19_19 = e1
% 17.17/4.68 | (291) all_0_22_22 = e1
% 17.17/4.68 | (262) ~ (all_0_23_23 = e0)
% 17.17/4.68 |
% 17.17/4.68 | Equations (182) can reduce 262 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.17/4.68 |
% 17.17/4.68 | Applying alpha-rule on (294) yields:
% 17.17/4.68 | (295) all_0_19_19 = e0
% 17.17/4.68 | (296) all_0_22_22 = e0
% 17.17/4.68 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.68 |
% 17.17/4.68 | Equations (296) can reduce 188 to:
% 17.17/4.68 | (172) $false
% 17.17/4.68 |
% 17.17/4.68 |-The branch is then unsatisfiable
% 17.17/4.68 |-Branch two:
% 17.17/4.68 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.68 | (300) all_0_18_18 = e0
% 17.17/4.68 |
% 17.17/4.69 | Equations (300) can reduce 215 to:
% 17.17/4.69 | (172) $false
% 17.17/4.69 |
% 17.17/4.69 |-The branch is then unsatisfiable
% 17.17/4.69 |-Branch two:
% 17.17/4.69 | (222) all_0_18_18 = e2
% 17.17/4.69 | (276) all_0_17_17 = e1
% 17.17/4.69 |
% 17.17/4.69 | Equations (276) can reduce 13 to:
% 17.17/4.69 | (304) ~ (all_0_9_9 = e1)
% 17.17/4.69 |
% 17.17/4.69 | Equations (222) can reduce 42 to:
% 17.17/4.69 | (305) ~ (all_0_10_10 = e2)
% 17.17/4.69 |
% 17.17/4.69 | Equations (276) can reduce 148 to:
% 17.17/4.69 | (227) ~ (all_0_16_16 = e1)
% 17.17/4.69 |
% 17.17/4.69 | Equations (276,222) can reduce 121 to:
% 17.17/4.69 | (307) ~ (e2 = e1)
% 17.17/4.69 |
% 17.17/4.69 | Simplifying 307 yields:
% 17.17/4.69 | (49) ~ (e2 = e1)
% 17.17/4.69 |
% 17.17/4.69 | Equations (276) can reduce 150 to:
% 17.17/4.69 | (309) ~ (all_0_19_19 = e1)
% 17.17/4.69 |
% 17.17/4.69 | Simplifying 309 yields:
% 17.17/4.69 | (310) ~ (all_0_19_19 = e1)
% 17.17/4.69 |
% 17.17/4.69 | Equations (276) can reduce 154 to:
% 17.17/4.69 | (311) ~ (all_0_21_21 = e1)
% 17.17/4.69 |
% 17.17/4.69 | Simplifying 311 yields:
% 17.17/4.69 | (312) ~ (all_0_21_21 = e1)
% 17.17/4.69 |
% 17.17/4.69 | Equations (222) can reduce 123 to:
% 17.17/4.69 | (313) ~ (all_0_19_19 = e2)
% 17.17/4.69 |
% 17.17/4.69 | Simplifying 313 yields:
% 17.17/4.69 | (314) ~ (all_0_19_19 = e2)
% 17.17/4.69 |
% 17.17/4.69 | Equations (222) can reduce 215 to:
% 17.17/4.69 | (137) ~ (e2 = e0)
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (133), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (240) all_0_9_9 = e3
% 17.17/4.69 |
% 17.17/4.69 | Equations (240) can reduce 200 to:
% 17.17/4.69 | (172) $false
% 17.17/4.69 |
% 17.17/4.69 |-The branch is then unsatisfiable
% 17.17/4.69 |-Branch two:
% 17.17/4.69 | (200) ~ (all_0_9_9 = e3)
% 17.17/4.69 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (54), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (320) all_0_16_16 = e0
% 17.17/4.69 |
% 17.17/4.69 | Equations (320) can reduce 32 to:
% 17.17/4.69 | (321) ~ (all_0_19_19 = e0)
% 17.17/4.69 |
% 17.17/4.69 | Simplifying 321 yields:
% 17.17/4.69 | (185) ~ (all_0_19_19 = e0)
% 17.17/4.69 |
% 17.17/4.69 | Equations (320) can reduce 151 to:
% 17.17/4.69 | (323) ~ (all_0_20_20 = e0)
% 17.17/4.69 |
% 17.17/4.69 | Simplifying 323 yields:
% 17.17/4.69 | (186) ~ (all_0_20_20 = e0)
% 17.17/4.69 |
% 17.17/4.69 | Equations (320) can reduce 227 to:
% 17.17/4.69 | (193) ~ (e1 = e0)
% 17.17/4.69 |
% 17.17/4.69 | Simplifying 193 yields:
% 17.17/4.69 | (90) ~ (e1 = e0)
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (157), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (327) all_0_19_19 = e3
% 17.17/4.69 |
% 17.17/4.69 | Equations (327) can reduce 115 to:
% 17.17/4.69 | (204) ~ (all_0_11_11 = e3)
% 17.17/4.69 |
% 17.17/4.69 | Equations (327) can reduce 149 to:
% 17.17/4.69 | (329) ~ (all_0_15_15 = e3)
% 17.17/4.69 |
% 17.17/4.69 | Equations (327) can reduce 310 to:
% 17.17/4.69 | (147) ~ (e3 = e1)
% 17.17/4.69 |
% 17.17/4.69 | Equations (327) can reduce 185 to:
% 17.17/4.69 | (107) ~ (e3 = e0)
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (144), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (241) all_0_12_12 = e3
% 17.17/4.69 |
% 17.17/4.69 | Equations (241) can reduce 206 to:
% 17.17/4.69 | (172) $false
% 17.17/4.69 |
% 17.17/4.69 |-The branch is then unsatisfiable
% 17.17/4.69 |-Branch two:
% 17.17/4.69 | (206) ~ (all_0_12_12 = e3)
% 17.17/4.69 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (335), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (336) all_0_13_13 = e3
% 17.17/4.69 |
% 17.17/4.69 | Equations (336) can reduce 216 to:
% 17.17/4.69 | (172) $false
% 17.17/4.69 |
% 17.17/4.69 |-The branch is then unsatisfiable
% 17.17/4.69 |-Branch two:
% 17.17/4.69 | (216) ~ (all_0_13_13 = e3)
% 17.17/4.69 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (152), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (229), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (230), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (231), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (232), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (233), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (234), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (235), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (236), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (237), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.17/4.69 |
% 17.17/4.69 +-Applying beta-rule and splitting (238), into two cases.
% 17.17/4.69 |-Branch one:
% 17.17/4.69 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.17/4.69 |
% 17.17/4.69 | Applying alpha-rule on (239) yields:
% 17.17/4.69 | (240) all_0_9_9 = e3
% 17.17/4.69 | (241) all_0_12_12 = e3
% 17.17/4.69 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.69 |
% 17.17/4.69 | Equations (241) can reduce 206 to:
% 17.17/4.69 | (172) $false
% 17.17/4.69 |
% 17.17/4.69 |-The branch is then unsatisfiable
% 17.17/4.69 |-Branch two:
% 17.17/4.69 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.17/4.69 |
% 17.17/4.69 | Applying alpha-rule on (244) yields:
% 17.17/4.70 | (245) all_0_9_9 = e2
% 17.17/4.70 | (246) all_0_12_12 = e2
% 17.17/4.70 | (247) ~ (all_0_8_8 = e3)
% 17.17/4.70 |
% 17.17/4.70 | Equations (198) can reduce 247 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (249) yields:
% 17.17/4.70 | (250) all_0_10_10 = e3
% 17.17/4.70 | (251) all_0_16_16 = e3
% 17.17/4.70 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.70 |
% 17.17/4.70 | Combining equations (251,320) yields a new equation:
% 17.17/4.70 | (364) e3 = e0
% 17.17/4.70 |
% 17.17/4.70 | Simplifying 364 yields:
% 17.17/4.70 | (365) e3 = e0
% 17.17/4.70 |
% 17.17/4.70 | Equations (365) can reduce 107 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (254) yields:
% 17.17/4.70 | (255) all_0_10_10 = e1
% 17.17/4.70 | (256) all_0_16_16 = e1
% 17.17/4.70 | (247) ~ (all_0_8_8 = e3)
% 17.17/4.70 |
% 17.17/4.70 | Combining equations (256,320) yields a new equation:
% 17.17/4.70 | (371) e1 = e0
% 17.17/4.70 |
% 17.17/4.70 | Simplifying 371 yields:
% 17.17/4.70 | (372) e1 = e0
% 17.17/4.70 |
% 17.17/4.70 | Equations (372) can reduce 90 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (259) yields:
% 17.17/4.70 | (260) all_0_11_11 = e3
% 17.17/4.70 | (261) all_0_20_20 = e3
% 17.17/4.70 | (262) ~ (all_0_23_23 = e0)
% 17.17/4.70 |
% 17.17/4.70 | Equations (182) can reduce 262 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (264) yields:
% 17.17/4.70 | (265) all_0_11_11 = e0
% 17.17/4.70 | (266) all_0_20_20 = e0
% 17.17/4.70 | (247) ~ (all_0_8_8 = e3)
% 17.17/4.70 |
% 17.17/4.70 | Equations (266) can reduce 186 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (269) yields:
% 17.17/4.70 | (270) all_0_14_14 = e2
% 17.17/4.70 | (271) all_0_17_17 = e2
% 17.17/4.70 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.70 |
% 17.17/4.70 | Combining equations (276,271) yields a new equation:
% 17.17/4.70 | (388) e2 = e1
% 17.17/4.70 |
% 17.17/4.70 | Equations (388) can reduce 49 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (274) yields:
% 17.17/4.70 | (275) all_0_14_14 = e1
% 17.17/4.70 | (276) all_0_17_17 = e1
% 17.17/4.70 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.70 |
% 17.17/4.70 | Equations (275) can reduce 65 to:
% 17.17/4.70 | (394) ~ (all_0_10_10 = e1)
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (100), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (250) all_0_10_10 = e3
% 17.17/4.70 |
% 17.17/4.70 | Equations (250) can reduce 202 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (202) ~ (all_0_10_10 = e3)
% 17.17/4.70 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (319), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (336) all_0_13_13 = e3
% 17.17/4.70 |
% 17.17/4.70 | Equations (336) can reduce 216 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (216) ~ (all_0_13_13 = e3)
% 17.17/4.70 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (398), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (403) all_0_10_10 = e2
% 17.17/4.70 |
% 17.17/4.70 | Equations (403) can reduce 305 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (305) ~ (all_0_10_10 = e2)
% 17.17/4.70 | (406) all_0_10_10 = e1 | all_0_10_10 = e0
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (406), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (255) all_0_10_10 = e1
% 17.17/4.70 |
% 17.17/4.70 | Equations (255) can reduce 394 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (394) ~ (all_0_10_10 = e1)
% 17.17/4.70 | (410) all_0_10_10 = e0
% 17.17/4.70 |
% 17.17/4.70 | Equations (410) can reduce 394 to:
% 17.17/4.70 | (193) ~ (e1 = e0)
% 17.17/4.70 |
% 17.17/4.70 | Simplifying 193 yields:
% 17.17/4.70 | (90) ~ (e1 = e0)
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (402), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (413) all_0_17_17 = e3
% 17.17/4.70 |
% 17.17/4.70 | Combining equations (276,413) yields a new equation:
% 17.17/4.70 | (414) e3 = e1
% 17.17/4.70 |
% 17.17/4.70 | Equations (414) can reduce 147 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (416) ~ (all_0_17_17 = e3)
% 17.17/4.70 | (417) all_0_21_21 = e3
% 17.17/4.70 |
% 17.17/4.70 | Equations (417) can reduce 312 to:
% 17.17/4.70 | (147) ~ (e3 = e1)
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (28), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (419) all_0_15_15 = e3
% 17.17/4.70 |
% 17.17/4.70 | Equations (419) can reduce 329 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (329) ~ (all_0_15_15 = e3)
% 17.17/4.70 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (155), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (423) all_0_8_8 = e1
% 17.17/4.70 |
% 17.17/4.70 | Combining equations (423,198) yields a new equation:
% 17.17/4.70 | (414) e3 = e1
% 17.17/4.70 |
% 17.17/4.70 | Equations (414) can reduce 147 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (195) ~ (all_0_8_8 = e1)
% 17.17/4.70 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (427), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (428) all_0_9_9 = e1
% 17.17/4.70 |
% 17.17/4.70 | Equations (428) can reduce 304 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (304) ~ (all_0_9_9 = e1)
% 17.17/4.70 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (431), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (255) all_0_10_10 = e1
% 17.17/4.70 |
% 17.17/4.70 | Combining equations (255,410) yields a new equation:
% 17.17/4.70 | (371) e1 = e0
% 17.17/4.70 |
% 17.17/4.70 | Simplifying 371 yields:
% 17.17/4.70 | (372) e1 = e0
% 17.17/4.70 |
% 17.17/4.70 | Equations (372) can reduce 90 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (394) ~ (all_0_10_10 = e1)
% 17.17/4.70 | (437) all_0_11_11 = e1
% 17.17/4.70 |
% 17.17/4.70 | Equations (437) can reduce 204 to:
% 17.17/4.70 | (438) ~ (e3 = e1)
% 17.17/4.70 |
% 17.17/4.70 | Simplifying 438 yields:
% 17.17/4.70 | (147) ~ (e3 = e1)
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (339), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (440) all_0_14_14 = e3
% 17.17/4.70 |
% 17.17/4.70 | Combining equations (440,275) yields a new equation:
% 17.17/4.70 | (441) e3 = e1
% 17.17/4.70 |
% 17.17/4.70 | Simplifying 441 yields:
% 17.17/4.70 | (414) e3 = e1
% 17.17/4.70 |
% 17.17/4.70 | Equations (414) can reduce 147 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (444) ~ (all_0_14_14 = e3)
% 17.17/4.70 | (419) all_0_15_15 = e3
% 17.17/4.70 |
% 17.17/4.70 | Equations (419) can reduce 329 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (279) yields:
% 17.17/4.70 | (280) all_0_15_15 = e2
% 17.17/4.70 | (281) all_0_21_21 = e2
% 17.17/4.70 | (262) ~ (all_0_23_23 = e0)
% 17.17/4.70 |
% 17.17/4.70 | Equations (182) can reduce 262 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (284) yields:
% 17.17/4.70 | (285) all_0_15_15 = e0
% 17.17/4.70 | (286) all_0_21_21 = e0
% 17.17/4.70 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.70 |
% 17.17/4.70 | Equations (286) can reduce 187 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (289) yields:
% 17.17/4.70 | (290) all_0_19_19 = e1
% 17.17/4.70 | (291) all_0_22_22 = e1
% 17.17/4.70 | (262) ~ (all_0_23_23 = e0)
% 17.17/4.70 |
% 17.17/4.70 | Combining equations (290,327) yields a new equation:
% 17.17/4.70 | (414) e3 = e1
% 17.17/4.70 |
% 17.17/4.70 | Equations (414) can reduce 147 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.17/4.70 |
% 17.17/4.70 | Applying alpha-rule on (294) yields:
% 17.17/4.70 | (295) all_0_19_19 = e0
% 17.17/4.70 | (296) all_0_22_22 = e0
% 17.17/4.70 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.70 |
% 17.17/4.70 | Combining equations (295,327) yields a new equation:
% 17.17/4.70 | (365) e3 = e0
% 17.17/4.70 |
% 17.17/4.70 | Equations (365) can reduce 107 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (469) ~ (all_0_19_19 = e3)
% 17.17/4.70 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (470), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (471) all_0_19_19 = e2
% 17.17/4.70 |
% 17.17/4.70 | Equations (471) can reduce 314 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (314) ~ (all_0_19_19 = e2)
% 17.17/4.70 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 17.17/4.70 |
% 17.17/4.70 +-Applying beta-rule and splitting (474), into two cases.
% 17.17/4.70 |-Branch one:
% 17.17/4.70 | (290) all_0_19_19 = e1
% 17.17/4.70 |
% 17.17/4.70 | Equations (290) can reduce 310 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (310) ~ (all_0_19_19 = e1)
% 17.17/4.70 | (295) all_0_19_19 = e0
% 17.17/4.70 |
% 17.17/4.70 | Equations (295) can reduce 185 to:
% 17.17/4.70 | (172) $false
% 17.17/4.70 |
% 17.17/4.70 |-The branch is then unsatisfiable
% 17.17/4.70 |-Branch two:
% 17.17/4.70 | (480) ~ (all_0_16_16 = e0)
% 17.17/4.70 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (481), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (482) all_0_17_17 = e0
% 17.17/4.71 |
% 17.17/4.71 | Combining equations (276,482) yields a new equation:
% 17.17/4.71 | (371) e1 = e0
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 371 yields:
% 17.17/4.71 | (372) e1 = e0
% 17.17/4.71 |
% 17.17/4.71 | Equations (372) can reduce 90 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (486) ~ (all_0_17_17 = e0)
% 17.17/4.71 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (487), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (300) all_0_18_18 = e0
% 17.17/4.71 |
% 17.17/4.71 | Combining equations (222,300) yields a new equation:
% 17.17/4.71 | (489) e2 = e0
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 489 yields:
% 17.17/4.71 | (490) e2 = e0
% 17.17/4.71 |
% 17.17/4.71 | Equations (490) can reduce 137 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (215) ~ (all_0_18_18 = e0)
% 17.17/4.71 | (295) all_0_19_19 = e0
% 17.17/4.71 |
% 17.17/4.71 | Equations (295) can reduce 185 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (336) all_0_13_13 = e3
% 17.17/4.71 | (246) all_0_12_12 = e2
% 17.17/4.71 |
% 17.17/4.71 | Equations (246) can reduce 127 to:
% 17.17/4.71 | (497) ~ (all_0_14_14 = e2)
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 497 yields:
% 17.17/4.71 | (498) ~ (all_0_14_14 = e2)
% 17.17/4.71 |
% 17.17/4.71 | Equations (246) can reduce 206 to:
% 17.17/4.71 | (499) ~ (e3 = e2)
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 499 yields:
% 17.17/4.71 | (69) ~ (e3 = e2)
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (92), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (501) all_0_12_12 = e0
% 17.17/4.71 |
% 17.17/4.71 | Combining equations (246,501) yields a new equation:
% 17.17/4.71 | (489) e2 = e0
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 489 yields:
% 17.17/4.71 | (490) e2 = e0
% 17.17/4.71 |
% 17.17/4.71 | Equations (490) can reduce 137 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (505) ~ (all_0_12_12 = e0)
% 17.17/4.71 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (506), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (507) all_0_13_13 = e0
% 17.17/4.71 |
% 17.17/4.71 | Combining equations (336,507) yields a new equation:
% 17.17/4.71 | (364) e3 = e0
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 364 yields:
% 17.17/4.71 | (365) e3 = e0
% 17.17/4.71 |
% 17.17/4.71 | Equations (365) can reduce 107 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (511) ~ (all_0_13_13 = e0)
% 17.17/4.71 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (512), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (513) all_0_14_14 = e0
% 17.17/4.71 |
% 17.17/4.71 | Equations (513) can reduce 81 to:
% 17.17/4.71 | (514) ~ (all_0_22_22 = e0)
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 514 yields:
% 17.17/4.71 | (188) ~ (all_0_22_22 = e0)
% 17.17/4.71 |
% 17.17/4.71 | Equations (513) can reduce 498 to:
% 17.17/4.71 | (191) ~ (e2 = e0)
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 191 yields:
% 17.17/4.71 | (137) ~ (e2 = e0)
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (152), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (229), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (230), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (231), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (232), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (233), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (234), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (235), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (236), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (237), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.17/4.71 |
% 17.17/4.71 +-Applying beta-rule and splitting (238), into two cases.
% 17.17/4.71 |-Branch one:
% 17.17/4.71 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (239) yields:
% 17.17/4.71 | (240) all_0_9_9 = e3
% 17.17/4.71 | (241) all_0_12_12 = e3
% 17.17/4.71 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.71 |
% 17.17/4.71 | Combining equations (241,246) yields a new equation:
% 17.17/4.71 | (532) e3 = e2
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 532 yields:
% 17.17/4.71 | (533) e3 = e2
% 17.17/4.71 |
% 17.17/4.71 | Equations (533) can reduce 69 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (244) yields:
% 17.17/4.71 | (245) all_0_9_9 = e2
% 17.17/4.71 | (246) all_0_12_12 = e2
% 17.17/4.71 | (247) ~ (all_0_8_8 = e3)
% 17.17/4.71 |
% 17.17/4.71 | Equations (198) can reduce 247 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (249) yields:
% 17.17/4.71 | (250) all_0_10_10 = e3
% 17.17/4.71 | (251) all_0_16_16 = e3
% 17.17/4.71 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.71 |
% 17.17/4.71 | Equations (251) can reduce 208 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (254) yields:
% 17.17/4.71 | (255) all_0_10_10 = e1
% 17.17/4.71 | (256) all_0_16_16 = e1
% 17.17/4.71 | (247) ~ (all_0_8_8 = e3)
% 17.17/4.71 |
% 17.17/4.71 | Equations (198) can reduce 247 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (259) yields:
% 17.17/4.71 | (260) all_0_11_11 = e3
% 17.17/4.71 | (261) all_0_20_20 = e3
% 17.17/4.71 | (262) ~ (all_0_23_23 = e0)
% 17.17/4.71 |
% 17.17/4.71 | Equations (182) can reduce 262 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (264) yields:
% 17.17/4.71 | (265) all_0_11_11 = e0
% 17.17/4.71 | (266) all_0_20_20 = e0
% 17.17/4.71 | (247) ~ (all_0_8_8 = e3)
% 17.17/4.71 |
% 17.17/4.71 | Equations (266) can reduce 186 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (269) yields:
% 17.17/4.71 | (270) all_0_14_14 = e2
% 17.17/4.71 | (271) all_0_17_17 = e2
% 17.17/4.71 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.71 |
% 17.17/4.71 | Combining equations (270,513) yields a new equation:
% 17.17/4.71 | (489) e2 = e0
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 489 yields:
% 17.17/4.71 | (490) e2 = e0
% 17.17/4.71 |
% 17.17/4.71 | Equations (490) can reduce 137 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (274) yields:
% 17.17/4.71 | (275) all_0_14_14 = e1
% 17.17/4.71 | (276) all_0_17_17 = e1
% 17.17/4.71 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.71 |
% 17.17/4.71 | Combining equations (275,513) yields a new equation:
% 17.17/4.71 | (371) e1 = e0
% 17.17/4.71 |
% 17.17/4.71 | Simplifying 371 yields:
% 17.17/4.71 | (372) e1 = e0
% 17.17/4.71 |
% 17.17/4.71 | Equations (372) can reduce 90 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (279) yields:
% 17.17/4.71 | (280) all_0_15_15 = e2
% 17.17/4.71 | (281) all_0_21_21 = e2
% 17.17/4.71 | (262) ~ (all_0_23_23 = e0)
% 17.17/4.71 |
% 17.17/4.71 | Equations (182) can reduce 262 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.17/4.71 |
% 17.17/4.71 | Applying alpha-rule on (284) yields:
% 17.17/4.71 | (285) all_0_15_15 = e0
% 17.17/4.71 | (286) all_0_21_21 = e0
% 17.17/4.71 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.71 |
% 17.17/4.71 | Equations (286) can reduce 187 to:
% 17.17/4.71 | (172) $false
% 17.17/4.71 |
% 17.17/4.71 |-The branch is then unsatisfiable
% 17.17/4.71 |-Branch two:
% 17.17/4.71 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Applying alpha-rule on (289) yields:
% 17.17/4.72 | (290) all_0_19_19 = e1
% 17.17/4.72 | (291) all_0_22_22 = e1
% 17.17/4.72 | (262) ~ (all_0_23_23 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Equations (182) can reduce 262 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Applying alpha-rule on (294) yields:
% 17.17/4.72 | (295) all_0_19_19 = e0
% 17.17/4.72 | (296) all_0_22_22 = e0
% 17.17/4.72 | (252) ~ (all_0_18_18 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (296) can reduce 188 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (594) ~ (all_0_14_14 = e0)
% 17.17/4.72 | (285) all_0_15_15 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (285) can reduce 184 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (300) all_0_18_18 = e0
% 17.17/4.72 | (290) all_0_19_19 = e1
% 17.17/4.72 |
% 17.17/4.72 | Equations (300) can reduce 42 to:
% 17.17/4.72 | (599) ~ (all_0_10_10 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Equations (290) can reduce 115 to:
% 17.17/4.72 | (600) ~ (all_0_11_11 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (300) can reduce 21 to:
% 17.17/4.72 | (594) ~ (all_0_14_14 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Equations (290) can reduce 149 to:
% 17.17/4.72 | (602) ~ (all_0_15_15 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (290) can reduce 32 to:
% 17.17/4.72 | (227) ~ (all_0_16_16 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (300) can reduce 101 to:
% 17.17/4.72 | (514) ~ (all_0_22_22 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 514 yields:
% 17.17/4.72 | (188) ~ (all_0_22_22 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Equations (300) can reduce 214 to:
% 17.17/4.72 | (189) ~ (e3 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 189 yields:
% 17.17/4.72 | (107) ~ (e3 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Equations (290) can reduce 185 to:
% 17.17/4.72 | (90) ~ (e1 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (119), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (260) all_0_11_11 = e3
% 17.17/4.72 |
% 17.17/4.72 | Equations (260) can reduce 204 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (204) ~ (all_0_11_11 = e3)
% 17.17/4.72 | (612) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (70), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (613) all_0_8_8 = e0
% 17.17/4.72 |
% 17.17/4.72 | Combining equations (613,198) yields a new equation:
% 17.17/4.72 | (365) e3 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (365) can reduce 107 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (197) ~ (all_0_8_8 = e0)
% 17.17/4.72 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (198) can reduce 197 to:
% 17.17/4.72 | (107) ~ (e3 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (58), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (613) all_0_8_8 = e0
% 17.17/4.72 |
% 17.17/4.72 | Combining equations (613,198) yields a new equation:
% 17.17/4.72 | (365) e3 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (365) can reduce 107 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (197) ~ (all_0_8_8 = e0)
% 17.17/4.72 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (198) can reduce 197 to:
% 17.17/4.72 | (107) ~ (e3 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (106), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (260) all_0_11_11 = e3
% 17.17/4.72 |
% 17.17/4.72 | Equations (260) can reduce 204 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (204) ~ (all_0_11_11 = e3)
% 17.17/4.72 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (628), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (419) all_0_15_15 = e3
% 17.17/4.72 |
% 17.17/4.72 | Equations (419) can reduce 84 to:
% 17.17/4.72 | (216) ~ (all_0_13_13 = e3)
% 17.17/4.72 |
% 17.17/4.72 | Equations (419) can reduce 50 to:
% 17.17/4.72 | (444) ~ (all_0_14_14 = e3)
% 17.17/4.72 |
% 17.17/4.72 | Equations (419) can reduce 602 to:
% 17.17/4.72 | (147) ~ (e3 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (419) can reduce 184 to:
% 17.17/4.72 | (107) ~ (e3 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (30), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (511) ~ (all_0_13_13 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (612), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (635) all_0_11_11 = e2
% 17.17/4.72 |
% 17.17/4.72 | Equations (635) can reduce 97 to:
% 17.17/4.72 | (636) ~ (all_0_9_9 = e2)
% 17.17/4.72 |
% 17.17/4.72 | Equations (635) can reduce 52 to:
% 17.17/4.72 | (305) ~ (all_0_10_10 = e2)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (92), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (501) all_0_12_12 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (501) can reduce 127 to:
% 17.17/4.72 | (639) ~ (all_0_14_14 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 639 yields:
% 17.17/4.72 | (594) ~ (all_0_14_14 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Equations (501) can reduce 71 to:
% 17.17/4.72 | (641) ~ (all_0_16_16 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 641 yields:
% 17.17/4.72 | (480) ~ (all_0_16_16 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Equations (501) can reduce 41 to:
% 17.17/4.72 | (323) ~ (all_0_20_20 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 323 yields:
% 17.17/4.72 | (186) ~ (all_0_20_20 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (20), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (251) all_0_16_16 = e3
% 17.17/4.72 |
% 17.17/4.72 | Equations (251) can reduce 208 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (208) ~ (all_0_16_16 = e3)
% 17.17/4.72 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (648), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (413) all_0_17_17 = e3
% 17.17/4.72 |
% 17.17/4.72 | Equations (413) can reduce 13 to:
% 17.17/4.72 | (200) ~ (all_0_9_9 = e3)
% 17.17/4.72 |
% 17.17/4.72 | Equations (413) can reduce 5 to:
% 17.17/4.72 | (216) ~ (all_0_13_13 = e3)
% 17.17/4.72 |
% 17.17/4.72 | Equations (413) can reduce 148 to:
% 17.17/4.72 | (208) ~ (all_0_16_16 = e3)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (22), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (261) all_0_20_20 = e3
% 17.17/4.72 |
% 17.17/4.72 | Equations (261) can reduce 210 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (210) ~ (all_0_20_20 = e3)
% 17.17/4.72 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (96), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (657) all_0_12_12 = e1
% 17.17/4.72 |
% 17.17/4.72 | Combining equations (501,657) yields a new equation:
% 17.17/4.72 | (372) e1 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (372) can reduce 90 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (660) ~ (all_0_12_12 = e1)
% 17.17/4.72 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (83), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (251) all_0_16_16 = e3
% 17.17/4.72 |
% 17.17/4.72 | Equations (251) can reduce 208 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (208) ~ (all_0_16_16 = e3)
% 17.17/4.72 | (665) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (665), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (666) all_0_16_16 = e2
% 17.17/4.72 |
% 17.17/4.72 | Equations (666) can reduce 151 to:
% 17.17/4.72 | (667) ~ (all_0_20_20 = e2)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 667 yields:
% 17.17/4.72 | (668) ~ (all_0_20_20 = e2)
% 17.17/4.72 |
% 17.17/4.72 | Equations (666) can reduce 208 to:
% 17.17/4.72 | (499) ~ (e3 = e2)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 499 yields:
% 17.17/4.72 | (69) ~ (e3 = e2)
% 17.17/4.72 |
% 17.17/4.72 | Equations (666) can reduce 480 to:
% 17.17/4.72 | (137) ~ (e2 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (11), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (672) all_0_9_9 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (672) can reduce 18 to:
% 17.17/4.72 | (673) ~ (all_0_13_13 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 673 yields:
% 17.17/4.72 | (511) ~ (all_0_13_13 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Equations (672) can reduce 200 to:
% 17.17/4.72 | (189) ~ (e3 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 189 yields:
% 17.17/4.72 | (107) ~ (e3 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Equations (672) can reduce 636 to:
% 17.17/4.72 | (191) ~ (e2 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 191 yields:
% 17.17/4.72 | (137) ~ (e2 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (661), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (679) all_0_13_13 = e1
% 17.17/4.72 |
% 17.17/4.72 | Equations (679) can reduce 167 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (167) ~ (all_0_13_13 = e1)
% 17.17/4.72 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (72), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (261) all_0_20_20 = e3
% 17.17/4.72 |
% 17.17/4.72 | Equations (261) can reduce 210 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (210) ~ (all_0_20_20 = e3)
% 17.17/4.72 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (686), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (687) all_0_20_20 = e2
% 17.17/4.72 |
% 17.17/4.72 | Equations (687) can reduce 668 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (668) ~ (all_0_20_20 = e2)
% 17.17/4.72 | (690) all_0_20_20 = e1 | all_0_20_20 = e0
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (690), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (691) all_0_20_20 = e1
% 17.17/4.72 |
% 17.17/4.72 | Equations (691) can reduce 210 to:
% 17.17/4.72 | (438) ~ (e3 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 438 yields:
% 17.17/4.72 | (147) ~ (e3 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (691) can reduce 668 to:
% 17.17/4.72 | (307) ~ (e2 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 307 yields:
% 17.17/4.72 | (49) ~ (e2 = e1)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (682), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (275) all_0_14_14 = e1
% 17.17/4.72 |
% 17.17/4.72 | Equations (275) can reduce 12 to:
% 17.17/4.72 | (167) ~ (all_0_13_13 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (275) can reduce 81 to:
% 17.17/4.72 | (698) ~ (all_0_22_22 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 698 yields:
% 17.17/4.72 | (699) ~ (all_0_22_22 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (275) can reduce 444 to:
% 17.17/4.72 | (438) ~ (e3 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 438 yields:
% 17.17/4.72 | (147) ~ (e3 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (275) can reduce 594 to:
% 17.17/4.72 | (90) ~ (e1 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (48), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (403) all_0_10_10 = e2
% 17.17/4.72 |
% 17.17/4.72 | Equations (403) can reduce 305 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (305) ~ (all_0_10_10 = e2)
% 17.17/4.72 | (706) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (43), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (246) all_0_12_12 = e2
% 17.17/4.72 |
% 17.17/4.72 | Combining equations (246,501) yields a new equation:
% 17.17/4.72 | (489) e2 = e0
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 489 yields:
% 17.17/4.72 | (490) e2 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (490) can reduce 137 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (711) ~ (all_0_12_12 = e2)
% 17.17/4.72 | (712) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 17.17/4.72 |
% 17.17/4.72 | Equations (501) can reduce 711 to:
% 17.17/4.72 | (191) ~ (e2 = e0)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 191 yields:
% 17.17/4.72 | (137) ~ (e2 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (706), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (270) all_0_14_14 = e2
% 17.17/4.72 |
% 17.17/4.72 | Combining equations (270,275) yields a new equation:
% 17.17/4.72 | (716) e2 = e1
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 716 yields:
% 17.17/4.72 | (388) e2 = e1
% 17.17/4.72 |
% 17.17/4.72 | Equations (388) can reduce 49 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (498) ~ (all_0_14_14 = e2)
% 17.17/4.72 | (720) all_0_18_18 = e2 | all_0_22_22 = e2
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (720), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (222) all_0_18_18 = e2
% 17.17/4.72 |
% 17.17/4.72 | Combining equations (300,222) yields a new equation:
% 17.17/4.72 | (490) e2 = e0
% 17.17/4.72 |
% 17.17/4.72 | Equations (490) can reduce 137 to:
% 17.17/4.72 | (172) $false
% 17.17/4.72 |
% 17.17/4.72 |-The branch is then unsatisfiable
% 17.17/4.72 |-Branch two:
% 17.17/4.72 | (217) ~ (all_0_18_18 = e2)
% 17.17/4.72 | (725) all_0_22_22 = e2
% 17.17/4.72 |
% 17.17/4.72 | Equations (725) can reduce 699 to:
% 17.17/4.72 | (49) ~ (e2 = e1)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (712), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (727) all_0_13_13 = e2
% 17.17/4.72 |
% 17.17/4.72 | Equations (727) can reduce 216 to:
% 17.17/4.72 | (499) ~ (e3 = e2)
% 17.17/4.72 |
% 17.17/4.72 | Simplifying 499 yields:
% 17.17/4.72 | (69) ~ (e3 = e2)
% 17.17/4.72 |
% 17.17/4.72 | Equations (727) can reduce 167 to:
% 17.17/4.72 | (49) ~ (e2 = e1)
% 17.17/4.72 |
% 17.17/4.72 | Equations (727) can reduce 511 to:
% 17.17/4.72 | (137) ~ (e2 = e0)
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (152), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (229), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.72 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.17/4.72 |
% 17.17/4.72 +-Applying beta-rule and splitting (230), into two cases.
% 17.17/4.72 |-Branch one:
% 17.17/4.73 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.17/4.73 |
% 17.17/4.73 +-Applying beta-rule and splitting (231), into two cases.
% 17.17/4.73 |-Branch one:
% 17.17/4.73 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.17/4.73 |
% 17.17/4.73 +-Applying beta-rule and splitting (232), into two cases.
% 17.17/4.73 |-Branch one:
% 17.17/4.73 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.17/4.73 |
% 17.17/4.73 +-Applying beta-rule and splitting (233), into two cases.
% 17.17/4.73 |-Branch one:
% 17.17/4.73 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.17/4.73 |
% 17.17/4.73 +-Applying beta-rule and splitting (234), into two cases.
% 17.17/4.73 |-Branch one:
% 17.17/4.73 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.17/4.73 |
% 17.17/4.73 +-Applying beta-rule and splitting (235), into two cases.
% 17.17/4.73 |-Branch one:
% 17.17/4.73 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.17/4.73 |
% 17.17/4.73 +-Applying beta-rule and splitting (236), into two cases.
% 17.17/4.73 |-Branch one:
% 17.17/4.73 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.17/4.73 |
% 17.17/4.73 +-Applying beta-rule and splitting (237), into two cases.
% 17.17/4.73 |-Branch one:
% 17.17/4.73 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.17/4.73 |
% 17.17/4.73 +-Applying beta-rule and splitting (238), into two cases.
% 17.17/4.73 |-Branch one:
% 17.17/4.73 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.17/4.73 |
% 17.17/4.73 | Applying alpha-rule on (239) yields:
% 17.17/4.73 | (240) all_0_9_9 = e3
% 17.17/4.73 | (241) all_0_12_12 = e3
% 17.17/4.73 | (242) ~ (all_0_13_13 = e2)
% 17.17/4.73 |
% 17.17/4.73 | Combining equations (241,501) yields a new equation:
% 17.17/4.73 | (364) e3 = e0
% 17.17/4.73 |
% 17.17/4.73 | Simplifying 364 yields:
% 17.17/4.73 | (365) e3 = e0
% 17.17/4.73 |
% 17.17/4.73 | Equations (365) can reduce 107 to:
% 17.17/4.73 | (172) $false
% 17.17/4.73 |
% 17.17/4.73 |-The branch is then unsatisfiable
% 17.17/4.73 |-Branch two:
% 17.17/4.73 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (244) yields:
% 17.58/4.73 | (245) all_0_9_9 = e2
% 17.58/4.73 | (246) all_0_12_12 = e2
% 17.58/4.73 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (246,501) yields a new equation:
% 17.58/4.73 | (489) e2 = e0
% 17.58/4.73 |
% 17.58/4.73 | Simplifying 489 yields:
% 17.58/4.73 | (490) e2 = e0
% 17.58/4.73 |
% 17.58/4.73 | Equations (490) can reduce 137 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (249) yields:
% 17.58/4.73 | (250) all_0_10_10 = e3
% 17.58/4.73 | (251) all_0_16_16 = e3
% 17.58/4.73 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (666,251) yields a new equation:
% 17.58/4.73 | (533) e3 = e2
% 17.58/4.73 |
% 17.58/4.73 | Equations (533) can reduce 69 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (254) yields:
% 17.58/4.73 | (255) all_0_10_10 = e1
% 17.58/4.73 | (256) all_0_16_16 = e1
% 17.58/4.73 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (666,256) yields a new equation:
% 17.58/4.73 | (716) e2 = e1
% 17.58/4.73 |
% 17.58/4.73 | Simplifying 716 yields:
% 17.58/4.73 | (388) e2 = e1
% 17.58/4.73 |
% 17.58/4.73 | Equations (388) can reduce 49 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (259) yields:
% 17.58/4.73 | (260) all_0_11_11 = e3
% 17.58/4.73 | (261) all_0_20_20 = e3
% 17.58/4.73 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (260,635) yields a new equation:
% 17.58/4.73 | (532) e3 = e2
% 17.58/4.73 |
% 17.58/4.73 | Simplifying 532 yields:
% 17.58/4.73 | (533) e3 = e2
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (691,261) yields a new equation:
% 17.58/4.73 | (414) e3 = e1
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (414,533) yields a new equation:
% 17.58/4.73 | (388) e2 = e1
% 17.58/4.73 |
% 17.58/4.73 | Equations (388) can reduce 49 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (264) yields:
% 17.58/4.73 | (265) all_0_11_11 = e0
% 17.58/4.73 | (266) all_0_20_20 = e0
% 17.58/4.73 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (691,266) yields a new equation:
% 17.58/4.73 | (371) e1 = e0
% 17.58/4.73 |
% 17.58/4.73 | Simplifying 371 yields:
% 17.58/4.73 | (372) e1 = e0
% 17.58/4.73 |
% 17.58/4.73 | Equations (372) can reduce 90 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (269) yields:
% 17.58/4.73 | (270) all_0_14_14 = e2
% 17.58/4.73 | (271) all_0_17_17 = e2
% 17.58/4.73 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (270,275) yields a new equation:
% 17.58/4.73 | (716) e2 = e1
% 17.58/4.73 |
% 17.58/4.73 | Simplifying 716 yields:
% 17.58/4.73 | (388) e2 = e1
% 17.58/4.73 |
% 17.58/4.73 | Equations (388) can reduce 49 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (274) yields:
% 17.58/4.73 | (275) all_0_14_14 = e1
% 17.58/4.73 | (276) all_0_17_17 = e1
% 17.58/4.73 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (276,413) yields a new equation:
% 17.58/4.73 | (414) e3 = e1
% 17.58/4.73 |
% 17.58/4.73 | Equations (414) can reduce 147 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (279) yields:
% 17.58/4.73 | (280) all_0_15_15 = e2
% 17.58/4.73 | (281) all_0_21_21 = e2
% 17.58/4.73 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (419,280) yields a new equation:
% 17.58/4.73 | (532) e3 = e2
% 17.58/4.73 |
% 17.58/4.73 | Simplifying 532 yields:
% 17.58/4.73 | (533) e3 = e2
% 17.58/4.73 |
% 17.58/4.73 | Equations (533) can reduce 69 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (284) yields:
% 17.58/4.73 | (285) all_0_15_15 = e0
% 17.58/4.73 | (286) all_0_21_21 = e0
% 17.58/4.73 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (419,285) yields a new equation:
% 17.58/4.73 | (364) e3 = e0
% 17.58/4.73 |
% 17.58/4.73 | Simplifying 364 yields:
% 17.58/4.73 | (365) e3 = e0
% 17.58/4.73 |
% 17.58/4.73 | Equations (365) can reduce 107 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (289) yields:
% 17.58/4.73 | (290) all_0_19_19 = e1
% 17.58/4.73 | (291) all_0_22_22 = e1
% 17.58/4.73 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (725,291) yields a new equation:
% 17.58/4.73 | (716) e2 = e1
% 17.58/4.73 |
% 17.58/4.73 | Simplifying 716 yields:
% 17.58/4.73 | (388) e2 = e1
% 17.58/4.73 |
% 17.58/4.73 | Equations (388) can reduce 49 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.58/4.73 |
% 17.58/4.73 | Applying alpha-rule on (294) yields:
% 17.58/4.73 | (295) all_0_19_19 = e0
% 17.58/4.73 | (296) all_0_22_22 = e0
% 17.58/4.73 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (295,290) yields a new equation:
% 17.58/4.73 | (372) e1 = e0
% 17.58/4.73 |
% 17.58/4.73 | Equations (372) can reduce 90 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.73 | (826) all_0_14_14 = e2 | all_0_15_15 = e2
% 17.58/4.73 |
% 17.58/4.73 +-Applying beta-rule and splitting (826), into two cases.
% 17.58/4.73 |-Branch one:
% 17.58/4.73 | (270) all_0_14_14 = e2
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (270,275) yields a new equation:
% 17.58/4.73 | (716) e2 = e1
% 17.58/4.73 |
% 17.58/4.73 | Simplifying 716 yields:
% 17.58/4.73 | (388) e2 = e1
% 17.58/4.73 |
% 17.58/4.73 | Equations (388) can reduce 49 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (498) ~ (all_0_14_14 = e2)
% 17.58/4.73 | (280) all_0_15_15 = e2
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (280,419) yields a new equation:
% 17.58/4.73 | (533) e3 = e2
% 17.58/4.73 |
% 17.58/4.73 | Equations (533) can reduce 69 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (835) ~ (all_0_14_14 = e1)
% 17.58/4.73 | (836) all_0_15_15 = e1
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (836,419) yields a new equation:
% 17.58/4.73 | (414) e3 = e1
% 17.58/4.73 |
% 17.58/4.73 | Equations (414) can reduce 147 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (839) ~ (all_0_20_20 = e1)
% 17.58/4.73 | (266) all_0_20_20 = e0
% 17.58/4.73 |
% 17.58/4.73 | Equations (266) can reduce 186 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (842) ~ (all_0_9_9 = e0)
% 17.58/4.73 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 17.58/4.73 |
% 17.58/4.73 +-Applying beta-rule and splitting (617), into two cases.
% 17.58/4.73 |-Branch one:
% 17.58/4.73 | (672) all_0_9_9 = e0
% 17.58/4.73 |
% 17.58/4.73 | Equations (672) can reduce 842 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (842) ~ (all_0_9_9 = e0)
% 17.58/4.73 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 17.58/4.73 |
% 17.58/4.73 +-Applying beta-rule and splitting (847), into two cases.
% 17.58/4.73 |-Branch one:
% 17.58/4.73 | (410) all_0_10_10 = e0
% 17.58/4.73 |
% 17.58/4.73 | Equations (410) can reduce 599 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (599) ~ (all_0_10_10 = e0)
% 17.58/4.73 | (265) all_0_11_11 = e0
% 17.58/4.73 |
% 17.58/4.73 | Combining equations (265,635) yields a new equation:
% 17.58/4.73 | (490) e2 = e0
% 17.58/4.73 |
% 17.58/4.73 | Equations (490) can reduce 137 to:
% 17.58/4.73 | (172) $false
% 17.58/4.73 |
% 17.58/4.73 |-The branch is then unsatisfiable
% 17.58/4.73 |-Branch two:
% 17.58/4.73 | (854) ~ (all_0_16_16 = e2)
% 17.58/4.73 | (855) all_0_16_16 = e1 | all_0_16_16 = e0
% 17.58/4.73 |
% 17.58/4.74 +-Applying beta-rule and splitting (855), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (256) all_0_16_16 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (256) can reduce 227 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (227) ~ (all_0_16_16 = e1)
% 17.58/4.74 | (320) all_0_16_16 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (320) can reduce 480 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (416) ~ (all_0_17_17 = e3)
% 17.58/4.74 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (133), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (240) all_0_9_9 = e3
% 17.58/4.74 |
% 17.58/4.74 | Equations (240) can reduce 200 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (200) ~ (all_0_9_9 = e3)
% 17.58/4.74 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (319), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (336) all_0_13_13 = e3
% 17.58/4.74 |
% 17.58/4.74 | Equations (336) can reduce 216 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (216) ~ (all_0_13_13 = e3)
% 17.58/4.74 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (135), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (423) all_0_8_8 = e1
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (423,198) yields a new equation:
% 17.58/4.74 | (414) e3 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (414) can reduce 147 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (195) ~ (all_0_8_8 = e1)
% 17.58/4.74 | (875) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (402), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (413) all_0_17_17 = e3
% 17.58/4.74 |
% 17.58/4.74 | Equations (413) can reduce 416 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (416) ~ (all_0_17_17 = e3)
% 17.58/4.74 | (417) all_0_21_21 = e3
% 17.58/4.74 |
% 17.58/4.74 | Equations (417) can reduce 131 to:
% 17.58/4.74 | (880) ~ (all_0_22_22 = e3)
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 880 yields:
% 17.58/4.74 | (881) ~ (all_0_22_22 = e3)
% 17.58/4.74 |
% 17.58/4.74 | Equations (417) can reduce 187 to:
% 17.58/4.74 | (107) ~ (e3 = e0)
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (100), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (250) all_0_10_10 = e3
% 17.58/4.74 |
% 17.58/4.74 | Equations (250) can reduce 202 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (202) ~ (all_0_10_10 = e3)
% 17.58/4.74 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (23), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (250) all_0_10_10 = e3
% 17.58/4.74 |
% 17.58/4.74 | Equations (250) can reduce 202 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (202) ~ (all_0_10_10 = e3)
% 17.58/4.74 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (875), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (657) all_0_12_12 = e1
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (501,657) yields a new equation:
% 17.58/4.74 | (372) e1 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (372) can reduce 90 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (660) ~ (all_0_12_12 = e1)
% 17.58/4.74 | (895) all_0_16_16 = e1 | all_0_20_20 = e1
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (895), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (256) all_0_16_16 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (256) can reduce 227 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (227) ~ (all_0_16_16 = e1)
% 17.58/4.74 | (691) all_0_20_20 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (691) can reduce 87 to:
% 17.58/4.74 | (698) ~ (all_0_22_22 = e1)
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 698 yields:
% 17.58/4.74 | (699) ~ (all_0_22_22 = e1)
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (47), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (902) all_0_22_22 = e3
% 17.58/4.74 |
% 17.58/4.74 | Equations (902) can reduce 881 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (881) ~ (all_0_22_22 = e3)
% 17.58/4.74 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (905), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (725) all_0_22_22 = e2
% 17.58/4.74 |
% 17.58/4.74 | Equations (725) can reduce 81 to:
% 17.58/4.74 | (498) ~ (all_0_14_14 = e2)
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (91), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (440) all_0_14_14 = e3
% 17.58/4.74 |
% 17.58/4.74 | Equations (440) can reduce 444 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (444) ~ (all_0_14_14 = e3)
% 17.58/4.74 | (911) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (890), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (440) all_0_14_14 = e3
% 17.58/4.74 |
% 17.58/4.74 | Equations (440) can reduce 444 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (444) ~ (all_0_14_14 = e3)
% 17.58/4.74 | (915) all_0_18_18 = e3 | all_0_22_22 = e3
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (911), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (270) all_0_14_14 = e2
% 17.58/4.74 |
% 17.58/4.74 | Equations (270) can reduce 498 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (498) ~ (all_0_14_14 = e2)
% 17.58/4.74 | (919) all_0_14_14 = e1 | all_0_14_14 = e0
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (919), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (275) all_0_14_14 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (275) can reduce 444 to:
% 17.58/4.74 | (438) ~ (e3 = e1)
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 438 yields:
% 17.58/4.74 | (147) ~ (e3 = e1)
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (862), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (218) all_0_18_18 = e3
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (300,218) yields a new equation:
% 17.58/4.74 | (365) e3 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (365) can reduce 107 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (214) ~ (all_0_18_18 = e3)
% 17.58/4.74 | (327) all_0_19_19 = e3
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (290,327) yields a new equation:
% 17.58/4.74 | (414) e3 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (414) can reduce 147 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (835) ~ (all_0_14_14 = e1)
% 17.58/4.74 | (513) all_0_14_14 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (513) can reduce 594 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (933) ~ (all_0_22_22 = e2)
% 17.58/4.74 | (934) all_0_22_22 = e1 | all_0_22_22 = e0
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (934), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (291) all_0_22_22 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (291) can reduce 699 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (699) ~ (all_0_22_22 = e1)
% 17.58/4.74 | (296) all_0_22_22 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (296) can reduce 188 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (505) ~ (all_0_12_12 = e0)
% 17.58/4.74 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (506), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (507) all_0_13_13 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (507) can reduce 511 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (511) ~ (all_0_13_13 = e0)
% 17.58/4.74 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (512), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (513) all_0_14_14 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (513) can reduce 594 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (594) ~ (all_0_14_14 = e0)
% 17.58/4.74 | (285) all_0_15_15 = e0
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (419,285) yields a new equation:
% 17.58/4.74 | (364) e3 = e0
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 364 yields:
% 17.58/4.74 | (365) e3 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (365) can reduce 107 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (953) ~ (all_0_11_11 = e2)
% 17.58/4.74 | (954) all_0_11_11 = e1 | all_0_11_11 = e0
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (954), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (437) all_0_11_11 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (437) can reduce 600 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (600) ~ (all_0_11_11 = e1)
% 17.58/4.74 | (265) all_0_11_11 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (265) can reduce 183 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (507) all_0_13_13 = e0
% 17.58/4.74 | (280) all_0_15_15 = e2
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (280,419) yields a new equation:
% 17.58/4.74 | (533) e3 = e2
% 17.58/4.74 |
% 17.58/4.74 | Equations (533) can reduce 69 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (329) ~ (all_0_15_15 = e3)
% 17.58/4.74 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (965), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (327) all_0_19_19 = e3
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (290,327) yields a new equation:
% 17.58/4.74 | (414) e3 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (414) can reduce 147 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (469) ~ (all_0_19_19 = e3)
% 17.58/4.74 | (171) all_0_23_23 = e3
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (171,182) yields a new equation:
% 17.58/4.74 | (364) e3 = e0
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 364 yields:
% 17.58/4.74 | (365) e3 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (365) can reduce 107 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (218) all_0_18_18 = e3
% 17.58/4.74 | (256) all_0_16_16 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (256) can reduce 148 to:
% 17.58/4.74 | (976) ~ (all_0_17_17 = e1)
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 976 yields:
% 17.58/4.74 | (228) ~ (all_0_17_17 = e1)
% 17.58/4.74 |
% 17.58/4.74 | Equations (256) can reduce 32 to:
% 17.58/4.74 | (309) ~ (all_0_19_19 = e1)
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 309 yields:
% 17.58/4.74 | (310) ~ (all_0_19_19 = e1)
% 17.58/4.74 |
% 17.58/4.74 | Equations (256) can reduce 208 to:
% 17.58/4.74 | (438) ~ (e3 = e1)
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 438 yields:
% 17.58/4.74 | (147) ~ (e3 = e1)
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (54), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (320) all_0_16_16 = e0
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (256,320) yields a new equation:
% 17.58/4.74 | (371) e1 = e0
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 371 yields:
% 17.58/4.74 | (372) e1 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (372) can reduce 90 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (480) ~ (all_0_16_16 = e0)
% 17.58/4.74 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (481), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (482) all_0_17_17 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (482) can reduce 150 to:
% 17.58/4.74 | (321) ~ (all_0_19_19 = e0)
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 321 yields:
% 17.58/4.74 | (185) ~ (all_0_19_19 = e0)
% 17.58/4.74 |
% 17.58/4.74 | Equations (482) can reduce 154 to:
% 17.58/4.74 | (991) ~ (all_0_21_21 = e0)
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 991 yields:
% 17.58/4.74 | (187) ~ (all_0_21_21 = e0)
% 17.58/4.74 |
% 17.58/4.74 | Equations (482) can reduce 228 to:
% 17.58/4.74 | (193) ~ (e1 = e0)
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 193 yields:
% 17.58/4.74 | (90) ~ (e1 = e0)
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (19), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (666) all_0_16_16 = e2
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (666,256) yields a new equation:
% 17.58/4.74 | (716) e2 = e1
% 17.58/4.74 |
% 17.58/4.74 | Simplifying 716 yields:
% 17.58/4.74 | (388) e2 = e1
% 17.58/4.74 |
% 17.58/4.74 | Equations (388) can reduce 49 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (854) ~ (all_0_16_16 = e2)
% 17.58/4.74 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (1000), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (271) all_0_17_17 = e2
% 17.58/4.74 |
% 17.58/4.74 | Combining equations (482,271) yields a new equation:
% 17.58/4.74 | (490) e2 = e0
% 17.58/4.74 |
% 17.58/4.74 | Equations (490) can reduce 137 to:
% 17.58/4.74 | (172) $false
% 17.58/4.74 |
% 17.58/4.74 |-The branch is then unsatisfiable
% 17.58/4.74 |-Branch two:
% 17.58/4.74 | (1004) ~ (all_0_17_17 = e2)
% 17.58/4.74 | (1005) all_0_18_18 = e2 | all_0_19_19 = e2
% 17.58/4.74 |
% 17.58/4.74 +-Applying beta-rule and splitting (1005), into two cases.
% 17.58/4.74 |-Branch one:
% 17.58/4.74 | (222) all_0_18_18 = e2
% 17.58/4.75 |
% 17.58/4.75 | Combining equations (222,218) yields a new equation:
% 17.58/4.75 | (533) e3 = e2
% 17.58/4.75 |
% 17.58/4.75 | Equations (533) can reduce 69 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (217) ~ (all_0_18_18 = e2)
% 17.58/4.75 | (471) all_0_19_19 = e2
% 17.58/4.75 |
% 17.58/4.75 | Equations (471) can reduce 310 to:
% 17.58/4.75 | (49) ~ (e2 = e1)
% 17.58/4.75 |
% 17.58/4.75 | Equations (471) can reduce 185 to:
% 17.58/4.75 | (137) ~ (e2 = e0)
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (152), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (229), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (230), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (231), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (232), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (233), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (234), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (235), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (236), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (237), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (238), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (239) yields:
% 17.58/4.75 | (240) all_0_9_9 = e3
% 17.58/4.75 | (241) all_0_12_12 = e3
% 17.58/4.75 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.75 |
% 17.58/4.75 | Equations (241) can reduce 206 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (244) yields:
% 17.58/4.75 | (245) all_0_9_9 = e2
% 17.58/4.75 | (246) all_0_12_12 = e2
% 17.58/4.75 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.75 |
% 17.58/4.75 | Equations (198) can reduce 247 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (249) yields:
% 17.58/4.75 | (250) all_0_10_10 = e3
% 17.58/4.75 | (251) all_0_16_16 = e3
% 17.58/4.75 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.75 |
% 17.58/4.75 | Combining equations (251,256) yields a new equation:
% 17.58/4.75 | (441) e3 = e1
% 17.58/4.75 |
% 17.58/4.75 | Simplifying 441 yields:
% 17.58/4.75 | (414) e3 = e1
% 17.58/4.75 |
% 17.58/4.75 | Equations (414) can reduce 147 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (254) yields:
% 17.58/4.75 | (255) all_0_10_10 = e1
% 17.58/4.75 | (256) all_0_16_16 = e1
% 17.58/4.75 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.75 |
% 17.58/4.75 | Equations (198) can reduce 247 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (259) yields:
% 17.58/4.75 | (260) all_0_11_11 = e3
% 17.58/4.75 | (261) all_0_20_20 = e3
% 17.58/4.75 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.75 |
% 17.58/4.75 | Equations (182) can reduce 262 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (264) yields:
% 17.58/4.75 | (265) all_0_11_11 = e0
% 17.58/4.75 | (266) all_0_20_20 = e0
% 17.58/4.75 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.75 |
% 17.58/4.75 | Equations (266) can reduce 186 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (269) yields:
% 17.58/4.75 | (270) all_0_14_14 = e2
% 17.58/4.75 | (271) all_0_17_17 = e2
% 17.58/4.75 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.75 |
% 17.58/4.75 | Combining equations (482,271) yields a new equation:
% 17.58/4.75 | (490) e2 = e0
% 17.58/4.75 |
% 17.58/4.75 | Equations (490) can reduce 137 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (274) yields:
% 17.58/4.75 | (275) all_0_14_14 = e1
% 17.58/4.75 | (276) all_0_17_17 = e1
% 17.58/4.75 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.75 |
% 17.58/4.75 | Combining equations (482,276) yields a new equation:
% 17.58/4.75 | (372) e1 = e0
% 17.58/4.75 |
% 17.58/4.75 | Equations (372) can reduce 90 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (279) yields:
% 17.58/4.75 | (280) all_0_15_15 = e2
% 17.58/4.75 | (281) all_0_21_21 = e2
% 17.58/4.75 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.75 |
% 17.58/4.75 | Equations (182) can reduce 262 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (284) yields:
% 17.58/4.75 | (285) all_0_15_15 = e0
% 17.58/4.75 | (286) all_0_21_21 = e0
% 17.58/4.75 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.75 |
% 17.58/4.75 | Equations (286) can reduce 187 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (289) yields:
% 17.58/4.75 | (290) all_0_19_19 = e1
% 17.58/4.75 | (291) all_0_22_22 = e1
% 17.58/4.75 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.75 |
% 17.58/4.75 | Combining equations (290,471) yields a new equation:
% 17.58/4.75 | (388) e2 = e1
% 17.58/4.75 |
% 17.58/4.75 | Equations (388) can reduce 49 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.58/4.75 |
% 17.58/4.75 | Applying alpha-rule on (294) yields:
% 17.58/4.75 | (295) all_0_19_19 = e0
% 17.58/4.75 | (296) all_0_22_22 = e0
% 17.58/4.75 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.75 |
% 17.58/4.75 | Combining equations (295,471) yields a new equation:
% 17.58/4.75 | (490) e2 = e0
% 17.58/4.75 |
% 17.58/4.75 | Equations (490) can reduce 137 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (486) ~ (all_0_17_17 = e0)
% 17.58/4.75 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (487), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (300) all_0_18_18 = e0
% 17.58/4.75 |
% 17.58/4.75 | Combining equations (218,300) yields a new equation:
% 17.58/4.75 | (364) e3 = e0
% 17.58/4.75 |
% 17.58/4.75 | Simplifying 364 yields:
% 17.58/4.75 | (365) e3 = e0
% 17.58/4.75 |
% 17.58/4.75 | Equations (365) can reduce 107 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (215) ~ (all_0_18_18 = e0)
% 17.58/4.75 | (295) all_0_19_19 = e0
% 17.58/4.75 |
% 17.58/4.75 | Equations (295) can reduce 185 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.75 | (1099) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (1099), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (1100) all_0_8_8 = e2
% 17.58/4.75 |
% 17.58/4.75 | Equations (1100) can reduce 196 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (196) ~ (all_0_8_8 = e2)
% 17.58/4.75 | (1103) all_0_8_8 = e1 | all_0_8_8 = e0
% 17.58/4.75 |
% 17.58/4.75 +-Applying beta-rule and splitting (1103), into two cases.
% 17.58/4.75 |-Branch one:
% 17.58/4.75 | (423) all_0_8_8 = e1
% 17.58/4.75 |
% 17.58/4.75 | Equations (423) can reduce 195 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (195) ~ (all_0_8_8 = e1)
% 17.58/4.75 | (613) all_0_8_8 = e0
% 17.58/4.75 |
% 17.58/4.75 | Equations (613) can reduce 197 to:
% 17.58/4.75 | (172) $false
% 17.58/4.75 |
% 17.58/4.75 |-The branch is then unsatisfiable
% 17.58/4.75 |-Branch two:
% 17.58/4.75 | (613) all_0_8_8 = e0
% 17.58/4.75 | (260) all_0_11_11 = e3
% 17.58/4.75 |
% 17.58/4.75 | Equations (613) can reduce 113 to:
% 17.58/4.75 | (1111) ~ (all_0_9_9 = e0)
% 17.58/4.75 |
% 17.58/4.75 | Simplifying 1111 yields:
% 17.58/4.75 | (842) ~ (all_0_9_9 = e0)
% 17.58/4.75 |
% 17.58/4.75 | Equations (613) can reduce 59 to:
% 17.58/4.75 | (1113) ~ (all_0_10_10 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 1113 yields:
% 17.58/4.76 | (599) ~ (all_0_10_10 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (613) can reduce 104 to:
% 17.58/4.76 | (641) ~ (all_0_16_16 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 641 yields:
% 17.58/4.76 | (480) ~ (all_0_16_16 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (613) can reduce 196 to:
% 17.58/4.76 | (191) ~ (e2 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 191 yields:
% 17.58/4.76 | (137) ~ (e2 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (613) can reduce 195 to:
% 17.58/4.76 | (193) ~ (e1 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 193 yields:
% 17.58/4.76 | (90) ~ (e1 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (260) can reduce 97 to:
% 17.58/4.76 | (200) ~ (all_0_9_9 = e3)
% 17.58/4.76 |
% 17.58/4.76 | Equations (260) can reduce 52 to:
% 17.58/4.76 | (202) ~ (all_0_10_10 = e3)
% 17.58/4.76 |
% 17.58/4.76 | Equations (260) can reduce 98 to:
% 17.58/4.76 | (1123) ~ (all_0_15_15 = e3)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 1123 yields:
% 17.58/4.76 | (329) ~ (all_0_15_15 = e3)
% 17.58/4.76 |
% 17.58/4.76 | Equations (260) can reduce 115 to:
% 17.58/4.76 | (1125) ~ (all_0_19_19 = e3)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 1125 yields:
% 17.58/4.76 | (469) ~ (all_0_19_19 = e3)
% 17.58/4.76 |
% 17.58/4.76 | Equations (260) can reduce 183 to:
% 17.58/4.76 | (107) ~ (e3 = e0)
% 17.58/4.76 |
% 17.58/4.76 | From (613) and (80) follows:
% 17.58/4.76 | (1128) op(e3, e3) = e0
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (77), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (215) ~ (all_0_18_18 = e0)
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (54), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (320) all_0_16_16 = e0
% 17.58/4.76 |
% 17.58/4.76 | Equations (320) can reduce 480 to:
% 17.58/4.76 | (172) $false
% 17.58/4.76 |
% 17.58/4.76 |-The branch is then unsatisfiable
% 17.58/4.76 |-Branch two:
% 17.58/4.76 | (480) ~ (all_0_16_16 = e0)
% 17.58/4.76 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (481), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (482) all_0_17_17 = e0
% 17.58/4.76 |
% 17.58/4.76 | Equations (482) can reduce 13 to:
% 17.58/4.76 | (842) ~ (all_0_9_9 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (482) can reduce 121 to:
% 17.58/4.76 | (1136) ~ (all_0_18_18 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 1136 yields:
% 17.58/4.76 | (215) ~ (all_0_18_18 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (482) can reduce 150 to:
% 17.58/4.76 | (321) ~ (all_0_19_19 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 321 yields:
% 17.58/4.76 | (185) ~ (all_0_19_19 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (482) can reduce 154 to:
% 17.58/4.76 | (991) ~ (all_0_21_21 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 991 yields:
% 17.58/4.76 | (187) ~ (all_0_21_21 = e0)
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (110), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (410) all_0_10_10 = e0
% 17.58/4.76 |
% 17.58/4.76 | Equations (410) can reduce 599 to:
% 17.58/4.76 | (172) $false
% 17.58/4.76 |
% 17.58/4.76 |-The branch is then unsatisfiable
% 17.58/4.76 |-Branch two:
% 17.58/4.76 | (599) ~ (all_0_10_10 = e0)
% 17.58/4.76 | (1145) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (1145), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (513) all_0_14_14 = e0
% 17.58/4.76 |
% 17.58/4.76 | Equations (513) can reduce 65 to:
% 17.58/4.76 | (599) ~ (all_0_10_10 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (513) can reduce 12 to:
% 17.58/4.76 | (511) ~ (all_0_13_13 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (513) can reduce 50 to:
% 17.58/4.76 | (1149) ~ (all_0_15_15 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 1149 yields:
% 17.58/4.76 | (184) ~ (all_0_15_15 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Equations (513) can reduce 81 to:
% 17.58/4.76 | (514) ~ (all_0_22_22 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 514 yields:
% 17.58/4.76 | (188) ~ (all_0_22_22 = e0)
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (153), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (216) ~ (all_0_13_13 = e3)
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (25), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (336) all_0_13_13 = e3
% 17.58/4.76 |
% 17.58/4.76 | Equations (336) can reduce 216 to:
% 17.58/4.76 | (172) $false
% 17.58/4.76 |
% 17.58/4.76 |-The branch is then unsatisfiable
% 17.58/4.76 |-Branch two:
% 17.58/4.76 | (216) ~ (all_0_13_13 = e3)
% 17.58/4.76 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (133), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (240) all_0_9_9 = e3
% 17.58/4.76 |
% 17.58/4.76 | Equations (240) can reduce 200 to:
% 17.58/4.76 | (172) $false
% 17.58/4.76 |
% 17.58/4.76 |-The branch is then unsatisfiable
% 17.58/4.76 |-Branch two:
% 17.58/4.76 | (200) ~ (all_0_9_9 = e3)
% 17.58/4.76 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (319), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (336) all_0_13_13 = e3
% 17.58/4.76 |
% 17.58/4.76 | Equations (336) can reduce 216 to:
% 17.58/4.76 | (172) $false
% 17.58/4.76 |
% 17.58/4.76 |-The branch is then unsatisfiable
% 17.58/4.76 |-Branch two:
% 17.58/4.76 | (216) ~ (all_0_13_13 = e3)
% 17.58/4.76 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (402), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (413) all_0_17_17 = e3
% 17.58/4.76 |
% 17.58/4.76 | Combining equations (413,482) yields a new equation:
% 17.58/4.76 | (364) e3 = e0
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 364 yields:
% 17.58/4.76 | (365) e3 = e0
% 17.58/4.76 |
% 17.58/4.76 | Equations (365) can reduce 107 to:
% 17.58/4.76 | (172) $false
% 17.58/4.76 |
% 17.58/4.76 |-The branch is then unsatisfiable
% 17.58/4.76 |-Branch two:
% 17.58/4.76 | (416) ~ (all_0_17_17 = e3)
% 17.58/4.76 | (417) all_0_21_21 = e3
% 17.58/4.76 |
% 17.58/4.76 | Equations (417) can reduce 17 to:
% 17.58/4.76 | (200) ~ (all_0_9_9 = e3)
% 17.58/4.76 |
% 17.58/4.76 | Equations (417) can reduce 187 to:
% 17.58/4.76 | (107) ~ (e3 = e0)
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (109), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (198) all_0_8_8 = e3
% 17.58/4.76 |
% 17.58/4.76 | Combining equations (198,613) yields a new equation:
% 17.58/4.76 | (364) e3 = e0
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 364 yields:
% 17.58/4.76 | (365) e3 = e0
% 17.58/4.76 |
% 17.58/4.76 | Equations (365) can reduce 107 to:
% 17.58/4.76 | (172) $false
% 17.58/4.76 |
% 17.58/4.76 |-The branch is then unsatisfiable
% 17.58/4.76 |-Branch two:
% 17.58/4.76 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.76 | (1179) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 17.58/4.76 |
% 17.58/4.76 | Equations (613) can reduce 247 to:
% 17.58/4.76 | (189) ~ (e3 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 189 yields:
% 17.58/4.76 | (107) ~ (e3 = e0)
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (64), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (428) all_0_9_9 = e1
% 17.58/4.76 |
% 17.58/4.76 | Equations (428) can reduce 79 to:
% 17.58/4.76 | (1183) ~ (all_0_10_10 = e1)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 1183 yields:
% 17.58/4.76 | (394) ~ (all_0_10_10 = e1)
% 17.58/4.76 |
% 17.58/4.76 | Equations (428) can reduce 200 to:
% 17.58/4.76 | (438) ~ (e3 = e1)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 438 yields:
% 17.58/4.76 | (147) ~ (e3 = e1)
% 17.58/4.76 |
% 17.58/4.76 | Equations (428) can reduce 842 to:
% 17.58/4.76 | (90) ~ (e1 = e0)
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (82), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (1100) all_0_8_8 = e2
% 17.58/4.76 |
% 17.58/4.76 | Combining equations (1100,613) yields a new equation:
% 17.58/4.76 | (489) e2 = e0
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 489 yields:
% 17.58/4.76 | (490) e2 = e0
% 17.58/4.76 |
% 17.58/4.76 | Equations (490) can reduce 137 to:
% 17.58/4.76 | (172) $false
% 17.58/4.76 |
% 17.58/4.76 |-The branch is then unsatisfiable
% 17.58/4.76 |-Branch two:
% 17.58/4.76 | (196) ~ (all_0_8_8 = e2)
% 17.58/4.76 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 17.58/4.76 |
% 17.58/4.76 | Equations (613) can reduce 196 to:
% 17.58/4.76 | (191) ~ (e2 = e0)
% 17.58/4.76 |
% 17.58/4.76 | Simplifying 191 yields:
% 17.58/4.76 | (137) ~ (e2 = e0)
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (23), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (250) all_0_10_10 = e3
% 17.58/4.76 |
% 17.58/4.76 | Equations (250) can reduce 202 to:
% 17.58/4.76 | (172) $false
% 17.58/4.76 |
% 17.58/4.76 |-The branch is then unsatisfiable
% 17.58/4.76 |-Branch two:
% 17.58/4.76 | (202) ~ (all_0_10_10 = e3)
% 17.58/4.76 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (152), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (229), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (230), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (231), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (232), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (233), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.58/4.76 |
% 17.58/4.76 +-Applying beta-rule and splitting (234), into two cases.
% 17.58/4.76 |-Branch one:
% 17.58/4.76 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (235), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (236), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (237), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (238), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (239) yields:
% 17.58/4.77 | (240) all_0_9_9 = e3
% 17.58/4.77 | (241) all_0_12_12 = e3
% 17.58/4.77 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (240,428) yields a new equation:
% 17.58/4.77 | (441) e3 = e1
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 441 yields:
% 17.58/4.77 | (414) e3 = e1
% 17.58/4.77 |
% 17.58/4.77 | Equations (414) can reduce 147 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (244) yields:
% 17.58/4.77 | (245) all_0_9_9 = e2
% 17.58/4.77 | (246) all_0_12_12 = e2
% 17.58/4.77 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (245,428) yields a new equation:
% 17.58/4.77 | (716) e2 = e1
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 716 yields:
% 17.58/4.77 | (388) e2 = e1
% 17.58/4.77 |
% 17.58/4.77 | Equations (388) can reduce 49 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (249) yields:
% 17.58/4.77 | (250) all_0_10_10 = e3
% 17.58/4.77 | (251) all_0_16_16 = e3
% 17.58/4.77 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Equations (250) can reduce 202 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (254) yields:
% 17.58/4.77 | (255) all_0_10_10 = e1
% 17.58/4.77 | (256) all_0_16_16 = e1
% 17.58/4.77 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.77 |
% 17.58/4.77 | Equations (255) can reduce 394 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (259) yields:
% 17.58/4.77 | (260) all_0_11_11 = e3
% 17.58/4.77 | (261) all_0_20_20 = e3
% 17.58/4.77 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.77 |
% 17.58/4.77 | Equations (182) can reduce 262 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (264) yields:
% 17.58/4.77 | (265) all_0_11_11 = e0
% 17.58/4.77 | (266) all_0_20_20 = e0
% 17.58/4.77 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (260,265) yields a new equation:
% 17.58/4.77 | (364) e3 = e0
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 364 yields:
% 17.58/4.77 | (365) e3 = e0
% 17.58/4.77 |
% 17.58/4.77 | Equations (365) can reduce 107 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (269) yields:
% 17.58/4.77 | (270) all_0_14_14 = e2
% 17.58/4.77 | (271) all_0_17_17 = e2
% 17.58/4.77 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (271,482) yields a new equation:
% 17.58/4.77 | (489) e2 = e0
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 489 yields:
% 17.58/4.77 | (490) e2 = e0
% 17.58/4.77 |
% 17.58/4.77 | Equations (490) can reduce 137 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (274) yields:
% 17.58/4.77 | (275) all_0_14_14 = e1
% 17.58/4.77 | (276) all_0_17_17 = e1
% 17.58/4.77 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (276,482) yields a new equation:
% 17.58/4.77 | (371) e1 = e0
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 371 yields:
% 17.58/4.77 | (372) e1 = e0
% 17.58/4.77 |
% 17.58/4.77 | Equations (372) can reduce 90 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (279) yields:
% 17.58/4.77 | (280) all_0_15_15 = e2
% 17.58/4.77 | (281) all_0_21_21 = e2
% 17.58/4.77 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (281,417) yields a new equation:
% 17.58/4.77 | (533) e3 = e2
% 17.58/4.77 |
% 17.58/4.77 | Equations (533) can reduce 69 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (284) yields:
% 17.58/4.77 | (285) all_0_15_15 = e0
% 17.58/4.77 | (286) all_0_21_21 = e0
% 17.58/4.77 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (286,417) yields a new equation:
% 17.58/4.77 | (365) e3 = e0
% 17.58/4.77 |
% 17.58/4.77 | Equations (365) can reduce 107 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (289) yields:
% 17.58/4.77 | (290) all_0_19_19 = e1
% 17.58/4.77 | (291) all_0_22_22 = e1
% 17.58/4.77 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.77 |
% 17.58/4.77 | Equations (182) can reduce 262 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Applying alpha-rule on (294) yields:
% 17.58/4.77 | (295) all_0_19_19 = e0
% 17.58/4.77 | (296) all_0_22_22 = e0
% 17.58/4.77 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Equations (296) can reduce 188 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (304) ~ (all_0_9_9 = e1)
% 17.58/4.77 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (1283), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (679) all_0_13_13 = e1
% 17.58/4.77 |
% 17.58/4.77 | Equations (679) can reduce 167 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (167) ~ (all_0_13_13 = e1)
% 17.58/4.77 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (1287), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (276) all_0_17_17 = e1
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (482,276) yields a new equation:
% 17.58/4.77 | (372) e1 = e0
% 17.58/4.77 |
% 17.58/4.77 | Equations (372) can reduce 90 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (228) ~ (all_0_17_17 = e1)
% 17.58/4.77 | (1292) all_0_21_21 = e1
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (417,1292) yields a new equation:
% 17.58/4.77 | (441) e3 = e1
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 441 yields:
% 17.58/4.77 | (414) e3 = e1
% 17.58/4.77 |
% 17.58/4.77 | Equations (414) can reduce 147 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (336) all_0_13_13 = e3
% 17.58/4.77 | (246) all_0_12_12 = e2
% 17.58/4.77 |
% 17.58/4.77 | Equations (336) can reduce 84 to:
% 17.58/4.77 | (1123) ~ (all_0_15_15 = e3)
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 1123 yields:
% 17.58/4.77 | (329) ~ (all_0_15_15 = e3)
% 17.58/4.77 |
% 17.58/4.77 | Equations (336) can reduce 167 to:
% 17.58/4.77 | (147) ~ (e3 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Equations (336) can reduce 511 to:
% 17.58/4.77 | (107) ~ (e3 = e0)
% 17.58/4.77 |
% 17.58/4.77 | From (336)(336) and (120) follows:
% 17.58/4.77 | (1302) op(e3, e3) = all_0_5_5
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (96), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (657) all_0_12_12 = e1
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (246,657) yields a new equation:
% 17.58/4.77 | (716) e2 = e1
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 716 yields:
% 17.58/4.77 | (388) e2 = e1
% 17.58/4.77 |
% 17.58/4.77 | Equations (388) can reduce 49 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (660) ~ (all_0_12_12 = e1)
% 17.58/4.77 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (661), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (679) all_0_13_13 = e1
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (336,679) yields a new equation:
% 17.58/4.77 | (441) e3 = e1
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 441 yields:
% 17.58/4.77 | (414) e3 = e1
% 17.58/4.77 |
% 17.58/4.77 | Equations (414) can reduce 147 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (167) ~ (all_0_13_13 = e1)
% 17.58/4.77 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (28), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (419) all_0_15_15 = e3
% 17.58/4.77 |
% 17.58/4.77 | Equations (419) can reduce 329 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (329) ~ (all_0_15_15 = e3)
% 17.58/4.77 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (682), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (275) all_0_14_14 = e1
% 17.58/4.77 |
% 17.58/4.77 | Combining equations (275,513) yields a new equation:
% 17.58/4.77 | (371) e1 = e0
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 371 yields:
% 17.58/4.77 | (372) e1 = e0
% 17.58/4.77 |
% 17.58/4.77 | Equations (372) can reduce 90 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (835) ~ (all_0_14_14 = e1)
% 17.58/4.77 | (836) all_0_15_15 = e1
% 17.58/4.77 |
% 17.58/4.77 | Equations (836) can reduce 149 to:
% 17.58/4.77 | (309) ~ (all_0_19_19 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 309 yields:
% 17.58/4.77 | (310) ~ (all_0_19_19 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Equations (836) can reduce 329 to:
% 17.58/4.77 | (438) ~ (e3 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Simplifying 438 yields:
% 17.58/4.77 | (147) ~ (e3 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Equations (836) can reduce 184 to:
% 17.58/4.77 | (90) ~ (e1 = e0)
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (157), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (327) all_0_19_19 = e3
% 17.58/4.77 |
% 17.58/4.77 | Equations (327) can reduce 469 to:
% 17.58/4.77 | (172) $false
% 17.58/4.77 |
% 17.58/4.77 |-The branch is then unsatisfiable
% 17.58/4.77 |-Branch two:
% 17.58/4.77 | (469) ~ (all_0_19_19 = e3)
% 17.58/4.77 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (470), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (471) all_0_19_19 = e2
% 17.58/4.77 |
% 17.58/4.77 | Instantiating formula (143) with e3, e3, all_0_5_5, e0 and discharging atoms op(e3, e3) = all_0_5_5, op(e3, e3) = e0, yields:
% 17.58/4.77 | (1335) all_0_5_5 = e0
% 17.58/4.77 |
% 17.58/4.77 | From (1335) and (38) follows:
% 17.58/4.77 | (1336) op(e0, e2) = all_0_4_4
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (129), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.77 | (1337) ~ (all_0_4_4 = e1)
% 17.58/4.77 |
% 17.58/4.77 | Instantiating formula (143) with e0, e2, all_0_4_4, all_0_21_21 and discharging atoms op(e0, e2) = all_0_4_4, op(e0, e2) = all_0_21_21, yields:
% 17.58/4.77 | (1338) all_0_4_4 = all_0_21_21
% 17.58/4.77 |
% 17.58/4.77 | Equations (1338) can reduce 1337 to:
% 17.58/4.77 | (312) ~ (all_0_21_21 = e1)
% 17.58/4.77 |
% 17.58/4.77 +-Applying beta-rule and splitting (64), into two cases.
% 17.58/4.77 |-Branch one:
% 17.58/4.78 | (428) all_0_9_9 = e1
% 17.58/4.78 |
% 17.58/4.78 | Equations (428) can reduce 79 to:
% 17.58/4.78 | (1183) ~ (all_0_10_10 = e1)
% 17.58/4.78 |
% 17.58/4.78 | Simplifying 1183 yields:
% 17.58/4.78 | (394) ~ (all_0_10_10 = e1)
% 17.58/4.78 |
% 17.58/4.78 | Equations (428) can reduce 842 to:
% 17.58/4.78 | (90) ~ (e1 = e0)
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (100), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (250) all_0_10_10 = e3
% 17.58/4.78 |
% 17.58/4.78 | Equations (250) can reduce 202 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (202) ~ (all_0_10_10 = e3)
% 17.58/4.78 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (398), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (403) all_0_10_10 = e2
% 17.58/4.78 |
% 17.58/4.78 | Equations (403) can reduce 202 to:
% 17.58/4.78 | (499) ~ (e3 = e2)
% 17.58/4.78 |
% 17.58/4.78 | Simplifying 499 yields:
% 17.58/4.78 | (69) ~ (e3 = e2)
% 17.58/4.78 |
% 17.58/4.78 | Equations (403) can reduce 394 to:
% 17.58/4.78 | (49) ~ (e2 = e1)
% 17.58/4.78 |
% 17.58/4.78 | Equations (403) can reduce 599 to:
% 17.58/4.78 | (137) ~ (e2 = e0)
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (152), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (229), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (230), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (231), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (232), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (233), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (234), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (235), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (236), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (237), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (238), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (239) yields:
% 17.58/4.78 | (240) all_0_9_9 = e3
% 17.58/4.78 | (241) all_0_12_12 = e3
% 17.58/4.78 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (240,428) yields a new equation:
% 17.58/4.78 | (441) e3 = e1
% 17.58/4.78 |
% 17.58/4.78 | Simplifying 441 yields:
% 17.58/4.78 | (414) e3 = e1
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (246,241) yields a new equation:
% 17.58/4.78 | (533) e3 = e2
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (533,414) yields a new equation:
% 17.58/4.78 | (716) e2 = e1
% 17.58/4.78 |
% 17.58/4.78 | Simplifying 716 yields:
% 17.58/4.78 | (388) e2 = e1
% 17.58/4.78 |
% 17.58/4.78 | Equations (388) can reduce 49 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (244) yields:
% 17.58/4.78 | (245) all_0_9_9 = e2
% 17.58/4.78 | (246) all_0_12_12 = e2
% 17.58/4.78 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (245,428) yields a new equation:
% 17.58/4.78 | (716) e2 = e1
% 17.58/4.78 |
% 17.58/4.78 | Simplifying 716 yields:
% 17.58/4.78 | (388) e2 = e1
% 17.58/4.78 |
% 17.58/4.78 | Equations (388) can reduce 49 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (249) yields:
% 17.58/4.78 | (250) all_0_10_10 = e3
% 17.58/4.78 | (251) all_0_16_16 = e3
% 17.58/4.78 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (250,403) yields a new equation:
% 17.58/4.78 | (532) e3 = e2
% 17.58/4.78 |
% 17.58/4.78 | Simplifying 532 yields:
% 17.58/4.78 | (533) e3 = e2
% 17.58/4.78 |
% 17.58/4.78 | Equations (533) can reduce 69 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (254) yields:
% 17.58/4.78 | (255) all_0_10_10 = e1
% 17.58/4.78 | (256) all_0_16_16 = e1
% 17.58/4.78 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (255,403) yields a new equation:
% 17.58/4.78 | (388) e2 = e1
% 17.58/4.78 |
% 17.58/4.78 | Equations (388) can reduce 49 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (259) yields:
% 17.58/4.78 | (260) all_0_11_11 = e3
% 17.58/4.78 | (261) all_0_20_20 = e3
% 17.58/4.78 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.78 |
% 17.58/4.78 | Equations (182) can reduce 262 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (264) yields:
% 17.58/4.78 | (265) all_0_11_11 = e0
% 17.58/4.78 | (266) all_0_20_20 = e0
% 17.58/4.78 | (247) ~ (all_0_8_8 = e3)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (265,260) yields a new equation:
% 17.58/4.78 | (365) e3 = e0
% 17.58/4.78 |
% 17.58/4.78 | Equations (365) can reduce 107 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (269) yields:
% 17.58/4.78 | (270) all_0_14_14 = e2
% 17.58/4.78 | (271) all_0_17_17 = e2
% 17.58/4.78 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (482,271) yields a new equation:
% 17.58/4.78 | (490) e2 = e0
% 17.58/4.78 |
% 17.58/4.78 | Equations (490) can reduce 137 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (274) yields:
% 17.58/4.78 | (275) all_0_14_14 = e1
% 17.58/4.78 | (276) all_0_17_17 = e1
% 17.58/4.78 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (482,276) yields a new equation:
% 17.58/4.78 | (372) e1 = e0
% 17.58/4.78 |
% 17.58/4.78 | Equations (372) can reduce 90 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (279) yields:
% 17.58/4.78 | (280) all_0_15_15 = e2
% 17.58/4.78 | (281) all_0_21_21 = e2
% 17.58/4.78 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (280,836) yields a new equation:
% 17.58/4.78 | (716) e2 = e1
% 17.58/4.78 |
% 17.58/4.78 | Simplifying 716 yields:
% 17.58/4.78 | (388) e2 = e1
% 17.58/4.78 |
% 17.58/4.78 | Equations (388) can reduce 49 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (284) yields:
% 17.58/4.78 | (285) all_0_15_15 = e0
% 17.58/4.78 | (286) all_0_21_21 = e0
% 17.58/4.78 | (242) ~ (all_0_13_13 = e2)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (285,836) yields a new equation:
% 17.58/4.78 | (372) e1 = e0
% 17.58/4.78 |
% 17.58/4.78 | Equations (372) can reduce 90 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (289) yields:
% 17.58/4.78 | (290) all_0_19_19 = e1
% 17.58/4.78 | (291) all_0_22_22 = e1
% 17.58/4.78 | (262) ~ (all_0_23_23 = e0)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (471,290) yields a new equation:
% 17.58/4.78 | (716) e2 = e1
% 17.58/4.78 |
% 17.58/4.78 | Simplifying 716 yields:
% 17.58/4.78 | (388) e2 = e1
% 17.58/4.78 |
% 17.58/4.78 | Equations (388) can reduce 49 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.58/4.78 |
% 17.58/4.78 | Applying alpha-rule on (294) yields:
% 17.58/4.78 | (295) all_0_19_19 = e0
% 17.58/4.78 | (296) all_0_22_22 = e0
% 17.58/4.78 | (252) ~ (all_0_18_18 = e1)
% 17.58/4.78 |
% 17.58/4.78 | Combining equations (471,295) yields a new equation:
% 17.58/4.78 | (489) e2 = e0
% 17.58/4.78 |
% 17.58/4.78 | Simplifying 489 yields:
% 17.58/4.78 | (490) e2 = e0
% 17.58/4.78 |
% 17.58/4.78 | Equations (490) can reduce 137 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (305) ~ (all_0_10_10 = e2)
% 17.58/4.78 | (406) all_0_10_10 = e1 | all_0_10_10 = e0
% 17.58/4.78 |
% 17.58/4.78 +-Applying beta-rule and splitting (406), into two cases.
% 17.58/4.78 |-Branch one:
% 17.58/4.78 | (255) all_0_10_10 = e1
% 17.58/4.78 |
% 17.58/4.78 | Equations (255) can reduce 394 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (394) ~ (all_0_10_10 = e1)
% 17.58/4.78 | (410) all_0_10_10 = e0
% 17.58/4.78 |
% 17.58/4.78 | Equations (410) can reduce 599 to:
% 17.58/4.78 | (172) $false
% 17.58/4.78 |
% 17.58/4.78 |-The branch is then unsatisfiable
% 17.58/4.78 |-Branch two:
% 17.58/4.78 | (304) ~ (all_0_9_9 = e1)
% 17.58/4.78 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 17.58/4.78 |
% 17.58/4.79 +-Applying beta-rule and splitting (1283), into two cases.
% 17.58/4.79 |-Branch one:
% 17.58/4.79 | (679) all_0_13_13 = e1
% 17.58/4.79 |
% 17.58/4.79 | Combining equations (336,679) yields a new equation:
% 17.58/4.79 | (441) e3 = e1
% 17.58/4.79 |
% 17.58/4.79 | Simplifying 441 yields:
% 17.58/4.79 | (414) e3 = e1
% 17.58/4.79 |
% 17.58/4.79 | Equations (414) can reduce 147 to:
% 17.58/4.79 | (172) $false
% 17.58/4.79 |
% 17.58/4.79 |-The branch is then unsatisfiable
% 17.58/4.79 |-Branch two:
% 17.58/4.79 | (167) ~ (all_0_13_13 = e1)
% 17.58/4.79 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 17.58/4.79 |
% 17.58/4.79 +-Applying beta-rule and splitting (1287), into two cases.
% 17.58/4.79 |-Branch one:
% 17.58/4.79 | (276) all_0_17_17 = e1
% 17.58/4.79 |
% 17.58/4.79 | Combining equations (276,482) yields a new equation:
% 17.58/4.79 | (371) e1 = e0
% 17.58/4.79 |
% 17.58/4.79 | Simplifying 371 yields:
% 17.58/4.79 | (372) e1 = e0
% 17.58/4.79 |
% 17.58/4.79 | Equations (372) can reduce 90 to:
% 17.58/4.79 | (172) $false
% 17.58/4.79 |
% 17.58/4.79 |-The branch is then unsatisfiable
% 17.58/4.79 |-Branch two:
% 17.58/4.79 | (228) ~ (all_0_17_17 = e1)
% 17.58/4.79 | (1292) all_0_21_21 = e1
% 17.58/4.79 |
% 17.58/4.79 | Equations (1292) can reduce 312 to:
% 17.58/4.79 | (172) $false
% 17.58/4.79 |
% 17.58/4.79 |-The branch is then unsatisfiable
% 17.58/4.79 |-Branch two:
% 17.58/4.79 | (1465) all_0_4_4 = e1
% 17.58/4.79 | (1466) ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e3)
% 17.58/4.79 |
% 17.58/4.79 +-Applying beta-rule and splitting (1466), into two cases.
% 17.58/4.79 |-Branch one:
% 17.58/4.79 | (1467) ~ (all_0_5_5 = e0)
% 17.58/4.79 |
% 17.58/4.79 | Equations (1335) can reduce 1467 to:
% 17.58/4.79 | (172) $false
% 17.58/4.79 |
% 17.58/4.79 |-The branch is then unsatisfiable
% 17.58/4.79 |-Branch two:
% 17.58/4.79 | (1335) all_0_5_5 = e0
% 17.58/4.79 | (216) ~ (all_0_13_13 = e3)
% 17.58/4.79 |
% 17.58/4.79 | Equations (336) can reduce 216 to:
% 17.58/4.79 | (172) $false
% 17.58/4.79 |
% 17.58/4.79 |-The branch is then unsatisfiable
% 17.58/4.79 |-Branch two:
% 17.58/4.79 | (314) ~ (all_0_19_19 = e2)
% 17.58/4.79 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 17.58/4.79 |
% 17.58/4.79 +-Applying beta-rule and splitting (474), into two cases.
% 17.58/4.79 |-Branch one:
% 17.58/4.79 | (290) all_0_19_19 = e1
% 17.58/4.79 |
% 17.58/4.79 | Equations (290) can reduce 310 to:
% 17.58/4.79 | (172) $false
% 17.58/4.79 |
% 17.58/4.79 |-The branch is then unsatisfiable
% 17.58/4.79 |-Branch two:
% 17.58/4.79 | (310) ~ (all_0_19_19 = e1)
% 17.58/4.79 | (295) all_0_19_19 = e0
% 17.58/4.79 |
% 17.58/4.79 | Equations (295) can reduce 185 to:
% 17.58/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (594) ~ (all_0_14_14 = e0)
% 17.85/4.79 | (1480) all_0_18_18 = e0 | all_0_22_22 = e0
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (1480), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (300) all_0_18_18 = e0
% 17.85/4.79 |
% 17.85/4.79 | Equations (300) can reduce 215 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (215) ~ (all_0_18_18 = e0)
% 17.85/4.79 | (296) all_0_22_22 = e0
% 17.85/4.79 |
% 17.85/4.79 | Equations (296) can reduce 188 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (486) ~ (all_0_17_17 = e0)
% 17.85/4.79 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (487), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (300) all_0_18_18 = e0
% 17.85/4.79 |
% 17.85/4.79 | Equations (300) can reduce 215 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (215) ~ (all_0_18_18 = e0)
% 17.85/4.79 | (295) all_0_19_19 = e0
% 17.85/4.79 |
% 17.85/4.79 | Equations (295) can reduce 185 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (300) all_0_18_18 = e0
% 17.85/4.79 | (290) all_0_19_19 = e1
% 17.85/4.79 |
% 17.85/4.79 | Equations (290) can reduce 32 to:
% 17.85/4.79 | (227) ~ (all_0_16_16 = e1)
% 17.85/4.79 |
% 17.85/4.79 | Equations (300) can reduce 121 to:
% 17.85/4.79 | (486) ~ (all_0_17_17 = e0)
% 17.85/4.79 |
% 17.85/4.79 | Equations (290) can reduce 150 to:
% 17.85/4.79 | (228) ~ (all_0_17_17 = e1)
% 17.85/4.79 |
% 17.85/4.79 | Equations (290) can reduce 185 to:
% 17.85/4.79 | (90) ~ (e1 = e0)
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (28), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (419) all_0_15_15 = e3
% 17.85/4.79 |
% 17.85/4.79 | Equations (419) can reduce 329 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (329) ~ (all_0_15_15 = e3)
% 17.85/4.79 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (11), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (672) all_0_9_9 = e0
% 17.85/4.79 |
% 17.85/4.79 | Equations (672) can reduce 842 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (842) ~ (all_0_9_9 = e0)
% 17.85/4.79 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (422), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (280) all_0_15_15 = e2
% 17.85/4.79 |
% 17.85/4.79 | Equations (280) can reduce 162 to:
% 17.85/4.79 | (711) ~ (all_0_12_12 = e2)
% 17.85/4.79 |
% 17.85/4.79 | Equations (280) can reduce 50 to:
% 17.85/4.79 | (498) ~ (all_0_14_14 = e2)
% 17.85/4.79 |
% 17.85/4.79 | Equations (280) can reduce 184 to:
% 17.85/4.79 | (137) ~ (e2 = e0)
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (152), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (229), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (230), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (231), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (232), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (233), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (234), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (235), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (236), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (237), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.85/4.79 |
% 17.85/4.79 +-Applying beta-rule and splitting (238), into two cases.
% 17.85/4.79 |-Branch one:
% 17.85/4.79 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.85/4.79 |
% 17.85/4.79 | Applying alpha-rule on (239) yields:
% 17.85/4.79 | (240) all_0_9_9 = e3
% 17.85/4.79 | (241) all_0_12_12 = e3
% 17.85/4.79 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.79 |
% 17.85/4.79 | Equations (240) can reduce 200 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.85/4.79 |
% 17.85/4.79 | Applying alpha-rule on (244) yields:
% 17.85/4.79 | (245) all_0_9_9 = e2
% 17.85/4.79 | (246) all_0_12_12 = e2
% 17.85/4.79 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.79 |
% 17.85/4.79 | Equations (246) can reduce 711 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.85/4.79 |
% 17.85/4.79 | Applying alpha-rule on (249) yields:
% 17.85/4.79 | (250) all_0_10_10 = e3
% 17.85/4.79 | (251) all_0_16_16 = e3
% 17.85/4.79 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.79 |
% 17.85/4.79 | Equations (250) can reduce 202 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.85/4.79 |
% 17.85/4.79 | Applying alpha-rule on (254) yields:
% 17.85/4.79 | (255) all_0_10_10 = e1
% 17.85/4.79 | (256) all_0_16_16 = e1
% 17.85/4.79 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.79 |
% 17.85/4.79 | Equations (256) can reduce 227 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.85/4.79 |
% 17.85/4.79 | Applying alpha-rule on (259) yields:
% 17.85/4.79 | (260) all_0_11_11 = e3
% 17.85/4.79 | (261) all_0_20_20 = e3
% 17.85/4.79 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.79 |
% 17.85/4.79 | Equations (182) can reduce 262 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.85/4.79 |
% 17.85/4.79 | Applying alpha-rule on (264) yields:
% 17.85/4.79 | (265) all_0_11_11 = e0
% 17.85/4.79 | (266) all_0_20_20 = e0
% 17.85/4.79 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.79 |
% 17.85/4.79 | Combining equations (265,260) yields a new equation:
% 17.85/4.79 | (365) e3 = e0
% 17.85/4.79 |
% 17.85/4.79 | Equations (365) can reduce 107 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.85/4.79 |
% 17.85/4.79 | Applying alpha-rule on (269) yields:
% 17.85/4.79 | (270) all_0_14_14 = e2
% 17.85/4.79 | (271) all_0_17_17 = e2
% 17.85/4.79 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.79 |
% 17.85/4.79 | Equations (270) can reduce 498 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.85/4.79 |
% 17.85/4.79 | Applying alpha-rule on (274) yields:
% 17.85/4.79 | (275) all_0_14_14 = e1
% 17.85/4.79 | (276) all_0_17_17 = e1
% 17.85/4.79 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.79 |
% 17.85/4.79 | Equations (276) can reduce 228 to:
% 17.85/4.79 | (172) $false
% 17.85/4.79 |
% 17.85/4.79 |-The branch is then unsatisfiable
% 17.85/4.79 |-Branch two:
% 17.85/4.79 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.85/4.79 |
% 17.85/4.79 | Applying alpha-rule on (279) yields:
% 17.85/4.79 | (280) all_0_15_15 = e2
% 17.85/4.80 | (281) all_0_21_21 = e2
% 17.85/4.80 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Equations (182) can reduce 262 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Applying alpha-rule on (284) yields:
% 17.85/4.80 | (285) all_0_15_15 = e0
% 17.85/4.80 | (286) all_0_21_21 = e0
% 17.85/4.80 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Combining equations (280,285) yields a new equation:
% 17.85/4.80 | (489) e2 = e0
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 489 yields:
% 17.85/4.80 | (490) e2 = e0
% 17.85/4.80 |
% 17.85/4.80 | Equations (490) can reduce 137 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Applying alpha-rule on (289) yields:
% 17.85/4.80 | (290) all_0_19_19 = e1
% 17.85/4.80 | (291) all_0_22_22 = e1
% 17.85/4.80 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Equations (182) can reduce 262 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.85/4.80 |
% 17.85/4.80 | Applying alpha-rule on (294) yields:
% 17.85/4.80 | (295) all_0_19_19 = e0
% 17.85/4.80 | (296) all_0_22_22 = e0
% 17.85/4.80 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.80 |
% 17.85/4.80 | Combining equations (295,290) yields a new equation:
% 17.85/4.80 | (372) e1 = e0
% 17.85/4.80 |
% 17.85/4.80 | Equations (372) can reduce 90 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (1585) ~ (all_0_15_15 = e2)
% 17.85/4.80 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (843), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (507) all_0_13_13 = e0
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (30), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (511) ~ (all_0_13_13 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Equations (507) can reduce 511 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (507) all_0_13_13 = e0
% 17.85/4.80 | (280) all_0_15_15 = e2
% 17.85/4.80 |
% 17.85/4.80 | Equations (280) can reduce 1585 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (511) ~ (all_0_13_13 = e0)
% 17.85/4.80 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (1594), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (482) all_0_17_17 = e0
% 17.85/4.80 |
% 17.85/4.80 | Equations (482) can reduce 486 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (486) ~ (all_0_17_17 = e0)
% 17.85/4.80 | (286) all_0_21_21 = e0
% 17.85/4.80 |
% 17.85/4.80 | Equations (286) can reduce 187 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (1100) all_0_8_8 = e2
% 17.85/4.80 | (240) all_0_9_9 = e3
% 17.85/4.80 |
% 17.85/4.80 | Equations (1100,240) can reduce 113 to:
% 17.85/4.80 | (499) ~ (e3 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 499 yields:
% 17.85/4.80 | (69) ~ (e3 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Equations (1100) can reduce 35 to:
% 17.85/4.80 | (1604) ~ (all_0_12_12 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 1604 yields:
% 17.85/4.80 | (711) ~ (all_0_12_12 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Equations (1100) can reduce 104 to:
% 17.85/4.80 | (1606) ~ (all_0_16_16 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 1606 yields:
% 17.85/4.80 | (854) ~ (all_0_16_16 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Equations (1100) can reduce 166 to:
% 17.85/4.80 | (667) ~ (all_0_20_20 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 667 yields:
% 17.85/4.80 | (668) ~ (all_0_20_20 = e2)
% 17.85/4.80 |
% 17.85/4.80 | Equations (1100) can reduce 195 to:
% 17.85/4.80 | (49) ~ (e2 = e1)
% 17.85/4.80 |
% 17.85/4.80 | Equations (240) can reduce 79 to:
% 17.85/4.80 | (201) ~ (all_0_10_10 = e3)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 201 yields:
% 17.85/4.80 | (202) ~ (all_0_10_10 = e3)
% 17.85/4.80 |
% 17.85/4.80 | Equations (240) can reduce 18 to:
% 17.85/4.80 | (1613) ~ (all_0_13_13 = e3)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 1613 yields:
% 17.85/4.80 | (216) ~ (all_0_13_13 = e3)
% 17.85/4.80 |
% 17.85/4.80 | Equations (240) can reduce 13 to:
% 17.85/4.80 | (1615) ~ (all_0_17_17 = e3)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 1615 yields:
% 17.85/4.80 | (416) ~ (all_0_17_17 = e3)
% 17.85/4.80 |
% 17.85/4.80 | Equations (240) can reduce 17 to:
% 17.85/4.80 | (1617) ~ (all_0_21_21 = e3)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 1617 yields:
% 17.85/4.80 | (1618) ~ (all_0_21_21 = e3)
% 17.85/4.80 |
% 17.85/4.80 | From (1100)(1100) and (138) follows:
% 17.85/4.80 | (1619) op(e2, e2) = all_0_7_7
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (70), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (613) all_0_8_8 = e0
% 17.85/4.80 |
% 17.85/4.80 | Combining equations (613,1100) yields a new equation:
% 17.85/4.80 | (490) e2 = e0
% 17.85/4.80 |
% 17.85/4.80 | Equations (490) can reduce 137 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (197) ~ (all_0_8_8 = e0)
% 17.85/4.80 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (617), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (672) all_0_9_9 = e0
% 17.85/4.80 |
% 17.85/4.80 | Combining equations (240,672) yields a new equation:
% 17.85/4.80 | (364) e3 = e0
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 364 yields:
% 17.85/4.80 | (365) e3 = e0
% 17.85/4.80 |
% 17.85/4.80 | Equations (365) can reduce 107 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (842) ~ (all_0_9_9 = e0)
% 17.85/4.80 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (847), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (410) all_0_10_10 = e0
% 17.85/4.80 |
% 17.85/4.80 | Equations (410) can reduce 52 to:
% 17.85/4.80 | (1632) ~ (all_0_11_11 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 1632 yields:
% 17.85/4.80 | (183) ~ (all_0_11_11 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Equations (410) can reduce 65 to:
% 17.85/4.80 | (639) ~ (all_0_14_14 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 639 yields:
% 17.85/4.80 | (594) ~ (all_0_14_14 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Equations (410) can reduce 42 to:
% 17.85/4.80 | (1136) ~ (all_0_18_18 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 1136 yields:
% 17.85/4.80 | (215) ~ (all_0_18_18 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Equations (410) can reduce 145 to:
% 17.85/4.80 | (514) ~ (all_0_22_22 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 514 yields:
% 17.85/4.80 | (188) ~ (all_0_22_22 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Equations (410) can reduce 202 to:
% 17.85/4.80 | (189) ~ (e3 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 189 yields:
% 17.85/4.80 | (107) ~ (e3 = e0)
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (155), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (423) all_0_8_8 = e1
% 17.85/4.80 |
% 17.85/4.80 | Combining equations (423,1100) yields a new equation:
% 17.85/4.80 | (388) e2 = e1
% 17.85/4.80 |
% 17.85/4.80 | Equations (388) can reduce 49 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (195) ~ (all_0_8_8 = e1)
% 17.85/4.80 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (427), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (428) all_0_9_9 = e1
% 17.85/4.80 |
% 17.85/4.80 | Combining equations (240,428) yields a new equation:
% 17.85/4.80 | (441) e3 = e1
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 441 yields:
% 17.85/4.80 | (414) e3 = e1
% 17.85/4.80 |
% 17.85/4.80 | Equations (414) can reduce 147 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (304) ~ (all_0_9_9 = e1)
% 17.85/4.80 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (431), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (255) all_0_10_10 = e1
% 17.85/4.80 |
% 17.85/4.80 | Combining equations (410,255) yields a new equation:
% 17.85/4.80 | (372) e1 = e0
% 17.85/4.80 |
% 17.85/4.80 | Equations (372) can reduce 90 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (394) ~ (all_0_10_10 = e1)
% 17.85/4.80 | (437) all_0_11_11 = e1
% 17.85/4.80 |
% 17.85/4.80 | Equations (437) can reduce 98 to:
% 17.85/4.80 | (1658) ~ (all_0_15_15 = e1)
% 17.85/4.80 |
% 17.85/4.80 | Simplifying 1658 yields:
% 17.85/4.80 | (602) ~ (all_0_15_15 = e1)
% 17.85/4.80 |
% 17.85/4.80 | Equations (437) can reduce 183 to:
% 17.85/4.80 | (90) ~ (e1 = e0)
% 17.85/4.80 |
% 17.85/4.80 | Instantiating formula (143) with e2, e2, all_0_7_7, all_0_13_13 and discharging atoms op(e2, e2) = all_0_7_7, op(e2, e2) = all_0_13_13, yields:
% 17.85/4.80 | (1661) all_0_7_7 = all_0_13_13
% 17.85/4.80 |
% 17.85/4.80 | From (1661) and (139) follows:
% 17.85/4.80 | (1662) op(all_0_13_13, e3) = all_0_6_6
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (40), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (217) ~ (all_0_18_18 = e2)
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (126), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (214) ~ (all_0_18_18 = e3)
% 17.85/4.80 |
% 17.85/4.80 +-Applying beta-rule and splitting (163), into two cases.
% 17.85/4.80 |-Branch one:
% 17.85/4.80 | (218) all_0_18_18 = e3
% 17.85/4.80 |
% 17.85/4.80 | Equations (218) can reduce 214 to:
% 17.85/4.80 | (172) $false
% 17.85/4.80 |
% 17.85/4.80 |-The branch is then unsatisfiable
% 17.85/4.80 |-Branch two:
% 17.85/4.80 | (214) ~ (all_0_18_18 = e3)
% 17.85/4.80 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (221), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (222) all_0_18_18 = e2
% 17.85/4.81 |
% 17.85/4.81 | Equations (222) can reduce 217 to:
% 17.85/4.81 | (172) $false
% 17.85/4.81 |
% 17.85/4.81 |-The branch is then unsatisfiable
% 17.85/4.81 |-Branch two:
% 17.85/4.81 | (217) ~ (all_0_18_18 = e2)
% 17.85/4.81 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (225), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (226) all_0_18_18 = e1
% 17.85/4.81 |
% 17.85/4.81 | Equations (226) can reduce 108 to:
% 17.85/4.81 | (227) ~ (all_0_16_16 = e1)
% 17.85/4.81 |
% 17.85/4.81 | Equations (226) can reduce 121 to:
% 17.85/4.81 | (228) ~ (all_0_17_17 = e1)
% 17.85/4.81 |
% 17.85/4.81 | Equations (226) can reduce 214 to:
% 17.85/4.81 | (438) ~ (e3 = e1)
% 17.85/4.81 |
% 17.85/4.81 | Simplifying 438 yields:
% 17.85/4.81 | (147) ~ (e3 = e1)
% 17.85/4.81 |
% 17.85/4.81 | Equations (226) can reduce 215 to:
% 17.85/4.81 | (90) ~ (e1 = e0)
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (64), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (428) all_0_9_9 = e1
% 17.85/4.81 |
% 17.85/4.81 | Combining equations (240,428) yields a new equation:
% 17.85/4.81 | (441) e3 = e1
% 17.85/4.81 |
% 17.85/4.81 | Simplifying 441 yields:
% 17.85/4.81 | (414) e3 = e1
% 17.85/4.81 |
% 17.85/4.81 | Equations (414) can reduce 147 to:
% 17.85/4.81 | (172) $false
% 17.85/4.81 |
% 17.85/4.81 |-The branch is then unsatisfiable
% 17.85/4.81 |-Branch two:
% 17.85/4.81 | (304) ~ (all_0_9_9 = e1)
% 17.85/4.81 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 17.85/4.81 |
% 17.85/4.81 | Equations (240) can reduce 304 to:
% 17.85/4.81 | (147) ~ (e3 = e1)
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (152), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (229), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (230), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (231), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (232), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (233), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (234), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (235), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (236), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (237), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (238), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.85/4.81 |
% 17.85/4.81 | Applying alpha-rule on (239) yields:
% 17.85/4.81 | (240) all_0_9_9 = e3
% 17.85/4.81 | (241) all_0_12_12 = e3
% 17.85/4.81 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.81 |
% 17.85/4.81 | Equations (241) can reduce 112 to:
% 17.85/4.81 | (1613) ~ (all_0_13_13 = e3)
% 17.85/4.81 |
% 17.85/4.81 | Simplifying 1613 yields:
% 17.85/4.81 | (216) ~ (all_0_13_13 = e3)
% 17.85/4.81 |
% 17.85/4.81 | Equations (241) can reduce 162 to:
% 17.85/4.81 | (1123) ~ (all_0_15_15 = e3)
% 17.85/4.81 |
% 17.85/4.81 | Simplifying 1123 yields:
% 17.85/4.81 | (329) ~ (all_0_15_15 = e3)
% 17.85/4.81 |
% 17.85/4.81 | Equations (241) can reduce 71 to:
% 17.85/4.81 | (207) ~ (all_0_16_16 = e3)
% 17.85/4.81 |
% 17.85/4.81 | Simplifying 207 yields:
% 17.85/4.81 | (208) ~ (all_0_16_16 = e3)
% 17.85/4.81 |
% 17.85/4.81 | Equations (241) can reduce 41 to:
% 17.85/4.81 | (209) ~ (all_0_20_20 = e3)
% 17.85/4.81 |
% 17.85/4.81 | Simplifying 209 yields:
% 17.85/4.81 | (210) ~ (all_0_20_20 = e3)
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (83), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (251) all_0_16_16 = e3
% 17.85/4.81 |
% 17.85/4.81 | Equations (251) can reduce 208 to:
% 17.85/4.81 | (172) $false
% 17.85/4.81 |
% 17.85/4.81 |-The branch is then unsatisfiable
% 17.85/4.81 |-Branch two:
% 17.85/4.81 | (208) ~ (all_0_16_16 = e3)
% 17.85/4.81 | (665) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (92), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (501) all_0_12_12 = e0
% 17.85/4.81 |
% 17.85/4.81 | Combining equations (241,501) yields a new equation:
% 17.85/4.81 | (364) e3 = e0
% 17.85/4.81 |
% 17.85/4.81 | Simplifying 364 yields:
% 17.85/4.81 | (365) e3 = e0
% 17.85/4.81 |
% 17.85/4.81 | Equations (365) can reduce 107 to:
% 17.85/4.81 | (172) $false
% 17.85/4.81 |
% 17.85/4.81 |-The branch is then unsatisfiable
% 17.85/4.81 |-Branch two:
% 17.85/4.81 | (505) ~ (all_0_12_12 = e0)
% 17.85/4.81 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 17.85/4.81 |
% 17.85/4.81 +-Applying beta-rule and splitting (665), into two cases.
% 17.85/4.81 |-Branch one:
% 17.85/4.81 | (666) all_0_16_16 = e2
% 17.85/4.81 |
% 17.85/4.82 | Equations (666) can reduce 854 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (854) ~ (all_0_16_16 = e2)
% 17.85/4.82 | (855) all_0_16_16 = e1 | all_0_16_16 = e0
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (855), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (256) all_0_16_16 = e1
% 17.85/4.82 |
% 17.85/4.82 | Equations (256) can reduce 227 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (227) ~ (all_0_16_16 = e1)
% 17.85/4.82 | (320) all_0_16_16 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (320) can reduce 32 to:
% 17.85/4.82 | (321) ~ (all_0_19_19 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 321 yields:
% 17.85/4.82 | (185) ~ (all_0_19_19 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Equations (320) can reduce 151 to:
% 17.85/4.82 | (323) ~ (all_0_20_20 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 323 yields:
% 17.85/4.82 | (186) ~ (all_0_20_20 = e0)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (28), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (419) all_0_15_15 = e3
% 17.85/4.82 |
% 17.85/4.82 | Equations (419) can reduce 329 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (329) ~ (all_0_15_15 = e3)
% 17.85/4.82 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (506), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (507) all_0_13_13 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (507) can reduce 84 to:
% 17.85/4.82 | (1149) ~ (all_0_15_15 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 1149 yields:
% 17.85/4.82 | (184) ~ (all_0_15_15 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Equations (507) can reduce 216 to:
% 17.85/4.82 | (189) ~ (e3 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 189 yields:
% 17.85/4.82 | (107) ~ (e3 = e0)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (30), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (511) ~ (all_0_13_13 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Equations (507) can reduce 511 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (507) all_0_13_13 = e0
% 17.85/4.82 | (280) all_0_15_15 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (280) can reduce 50 to:
% 17.85/4.82 | (498) ~ (all_0_14_14 = e2)
% 17.85/4.82 |
% 17.85/4.82 | Equations (280) can reduce 149 to:
% 17.85/4.82 | (313) ~ (all_0_19_19 = e2)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 313 yields:
% 17.85/4.82 | (314) ~ (all_0_19_19 = e2)
% 17.85/4.82 |
% 17.85/4.82 | Equations (280) can reduce 329 to:
% 17.85/4.82 | (499) ~ (e3 = e2)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 499 yields:
% 17.85/4.82 | (69) ~ (e3 = e2)
% 17.85/4.82 |
% 17.85/4.82 | Equations (280) can reduce 184 to:
% 17.85/4.82 | (137) ~ (e2 = e0)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (157), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (327) all_0_19_19 = e3
% 17.85/4.82 |
% 17.85/4.82 | Equations (327) can reduce 314 to:
% 17.85/4.82 | (69) ~ (e3 = e2)
% 17.85/4.82 |
% 17.85/4.82 | Equations (327) can reduce 185 to:
% 17.85/4.82 | (107) ~ (e3 = e0)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (48), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (403) all_0_10_10 = e2
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (403,410) yields a new equation:
% 17.85/4.82 | (489) e2 = e0
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 489 yields:
% 17.85/4.82 | (490) e2 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (490) can reduce 137 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (305) ~ (all_0_10_10 = e2)
% 17.85/4.82 | (706) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (410) can reduce 305 to:
% 17.85/4.82 | (191) ~ (e2 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 191 yields:
% 17.85/4.82 | (137) ~ (e2 = e0)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (22), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (261) all_0_20_20 = e3
% 17.85/4.82 |
% 17.85/4.82 | Equations (261) can reduce 210 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (210) ~ (all_0_20_20 = e3)
% 17.85/4.82 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (19), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (666) all_0_16_16 = e2
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (320,666) yields a new equation:
% 17.85/4.82 | (490) e2 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (490) can reduce 137 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (854) ~ (all_0_16_16 = e2)
% 17.85/4.82 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (320) can reduce 854 to:
% 17.85/4.82 | (191) ~ (e2 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 191 yields:
% 17.85/4.82 | (137) ~ (e2 = e0)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (72), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (261) all_0_20_20 = e3
% 17.85/4.82 |
% 17.85/4.82 | Equations (261) can reduce 210 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (210) ~ (all_0_20_20 = e3)
% 17.85/4.82 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (686), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (687) all_0_20_20 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (687) can reduce 668 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (668) ~ (all_0_20_20 = e2)
% 17.85/4.82 | (690) all_0_20_20 = e1 | all_0_20_20 = e0
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (690), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (691) all_0_20_20 = e1
% 17.85/4.82 |
% 17.85/4.82 | Equations (691) can reduce 75 to:
% 17.85/4.82 | (311) ~ (all_0_21_21 = e1)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 311 yields:
% 17.85/4.82 | (312) ~ (all_0_21_21 = e1)
% 17.85/4.82 |
% 17.85/4.82 | Equations (691) can reduce 668 to:
% 17.85/4.82 | (307) ~ (e2 = e1)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 307 yields:
% 17.85/4.82 | (49) ~ (e2 = e1)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (706), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (270) all_0_14_14 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (270) can reduce 498 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (498) ~ (all_0_14_14 = e2)
% 17.85/4.82 | (720) all_0_18_18 = e2 | all_0_22_22 = e2
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (656), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (417) all_0_21_21 = e3
% 17.85/4.82 |
% 17.85/4.82 | Equations (417) can reduce 1618 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (1618) ~ (all_0_21_21 = e3)
% 17.85/4.82 | (1791) all_0_22_22 = e3 | all_0_23_23 = e3
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (1791), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (902) all_0_22_22 = e3
% 17.85/4.82 |
% 17.85/4.82 | Equations (902) can reduce 131 to:
% 17.85/4.82 | (1618) ~ (all_0_21_21 = e3)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (132), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (687) all_0_20_20 = e2
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (691,687) yields a new equation:
% 17.85/4.82 | (388) e2 = e1
% 17.85/4.82 |
% 17.85/4.82 | Equations (388) can reduce 49 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (668) ~ (all_0_20_20 = e2)
% 17.85/4.82 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (1798), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (281) all_0_21_21 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (281) can reduce 1618 to:
% 17.85/4.82 | (499) ~ (e3 = e2)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 499 yields:
% 17.85/4.82 | (69) ~ (e3 = e2)
% 17.85/4.82 |
% 17.85/4.82 | Equations (281) can reduce 312 to:
% 17.85/4.82 | (49) ~ (e2 = e1)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (720), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (222) all_0_18_18 = e2
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (226,222) yields a new equation:
% 17.85/4.82 | (388) e2 = e1
% 17.85/4.82 |
% 17.85/4.82 | Equations (388) can reduce 49 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (217) ~ (all_0_18_18 = e2)
% 17.85/4.82 | (725) all_0_22_22 = e2
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (902,725) yields a new equation:
% 17.85/4.82 | (532) e3 = e2
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 532 yields:
% 17.85/4.82 | (533) e3 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (533) can reduce 69 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (1811) ~ (all_0_21_21 = e2)
% 17.85/4.82 | (1812) all_0_22_22 = e2 | all_0_23_23 = e2
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (1812), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (725) all_0_22_22 = e2
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (902,725) yields a new equation:
% 17.85/4.82 | (532) e3 = e2
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 532 yields:
% 17.85/4.82 | (533) e3 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (533) can reduce 69 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (933) ~ (all_0_22_22 = e2)
% 17.85/4.82 | (175) all_0_23_23 = e2
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (182,175) yields a new equation:
% 17.85/4.82 | (490) e2 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (490) can reduce 137 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (881) ~ (all_0_22_22 = e3)
% 17.85/4.82 | (171) all_0_23_23 = e3
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (171,182) yields a new equation:
% 17.85/4.82 | (364) e3 = e0
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 364 yields:
% 17.85/4.82 | (365) e3 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (365) can reduce 107 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (839) ~ (all_0_20_20 = e1)
% 17.85/4.82 | (266) all_0_20_20 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (266) can reduce 186 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (469) ~ (all_0_19_19 = e3)
% 17.85/4.82 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (106), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (260) all_0_11_11 = e3
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (260,437) yields a new equation:
% 17.85/4.82 | (441) e3 = e1
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 441 yields:
% 17.85/4.82 | (414) e3 = e1
% 17.85/4.82 |
% 17.85/4.82 | Equations (414) can reduce 147 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (204) ~ (all_0_11_11 = e3)
% 17.85/4.82 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (20), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (251) all_0_16_16 = e3
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (251,320) yields a new equation:
% 17.85/4.82 | (364) e3 = e0
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 364 yields:
% 17.85/4.82 | (365) e3 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (365) can reduce 107 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (208) ~ (all_0_16_16 = e3)
% 17.85/4.82 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 17.85/4.82 |
% 17.85/4.82 | Equations (320) can reduce 208 to:
% 17.85/4.82 | (189) ~ (e3 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 189 yields:
% 17.85/4.82 | (107) ~ (e3 = e0)
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (628), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (419) all_0_15_15 = e3
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (280,419) yields a new equation:
% 17.85/4.82 | (533) e3 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (533) can reduce 69 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (329) ~ (all_0_15_15 = e3)
% 17.85/4.82 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (965), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (327) all_0_19_19 = e3
% 17.85/4.82 |
% 17.85/4.82 | Equations (327) can reduce 469 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (469) ~ (all_0_19_19 = e3)
% 17.85/4.82 | (171) all_0_23_23 = e3
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (182,171) yields a new equation:
% 17.85/4.82 | (365) e3 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (365) can reduce 107 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (511) ~ (all_0_13_13 = e0)
% 17.85/4.82 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 17.85/4.82 |
% 17.85/4.82 +-Applying beta-rule and splitting (512), into two cases.
% 17.85/4.82 |-Branch one:
% 17.85/4.82 | (513) all_0_14_14 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (513) can reduce 594 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (594) ~ (all_0_14_14 = e0)
% 17.85/4.82 | (285) all_0_15_15 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (285) can reduce 184 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.85/4.82 |
% 17.85/4.82 | Applying alpha-rule on (244) yields:
% 17.85/4.82 | (245) all_0_9_9 = e2
% 17.85/4.82 | (246) all_0_12_12 = e2
% 17.85/4.82 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (240,245) yields a new equation:
% 17.85/4.82 | (532) e3 = e2
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 532 yields:
% 17.85/4.82 | (533) e3 = e2
% 17.85/4.82 |
% 17.85/4.82 | Equations (533) can reduce 69 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.85/4.82 |
% 17.85/4.82 | Applying alpha-rule on (249) yields:
% 17.85/4.82 | (250) all_0_10_10 = e3
% 17.85/4.82 | (251) all_0_16_16 = e3
% 17.85/4.82 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (250,410) yields a new equation:
% 17.85/4.82 | (364) e3 = e0
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 364 yields:
% 17.85/4.82 | (365) e3 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (365) can reduce 107 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.85/4.82 |
% 17.85/4.82 | Applying alpha-rule on (254) yields:
% 17.85/4.82 | (255) all_0_10_10 = e1
% 17.85/4.82 | (256) all_0_16_16 = e1
% 17.85/4.82 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (255,410) yields a new equation:
% 17.85/4.82 | (371) e1 = e0
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 371 yields:
% 17.85/4.82 | (372) e1 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (372) can reduce 90 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Applying alpha-rule on (259) yields:
% 17.85/4.82 | (260) all_0_11_11 = e3
% 17.85/4.82 | (261) all_0_20_20 = e3
% 17.85/4.82 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (437,260) yields a new equation:
% 17.85/4.82 | (414) e3 = e1
% 17.85/4.82 |
% 17.85/4.82 | Equations (414) can reduce 147 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.85/4.82 |
% 17.85/4.82 | Applying alpha-rule on (264) yields:
% 17.85/4.82 | (265) all_0_11_11 = e0
% 17.85/4.82 | (266) all_0_20_20 = e0
% 17.85/4.82 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.82 |
% 17.85/4.82 | Combining equations (437,265) yields a new equation:
% 17.85/4.82 | (371) e1 = e0
% 17.85/4.82 |
% 17.85/4.82 | Simplifying 371 yields:
% 17.85/4.82 | (372) e1 = e0
% 17.85/4.82 |
% 17.85/4.82 | Equations (372) can reduce 90 to:
% 17.85/4.82 | (172) $false
% 17.85/4.82 |
% 17.85/4.82 |-The branch is then unsatisfiable
% 17.85/4.82 |-Branch two:
% 17.85/4.82 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.85/4.82 |
% 17.85/4.82 | Applying alpha-rule on (269) yields:
% 17.85/4.82 | (270) all_0_14_14 = e2
% 17.85/4.82 | (271) all_0_17_17 = e2
% 17.85/4.82 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Equations (226) can reduce 252 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (274) yields:
% 17.85/4.83 | (275) all_0_14_14 = e1
% 17.85/4.83 | (276) all_0_17_17 = e1
% 17.85/4.83 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.83 |
% 17.85/4.83 | Equations (276) can reduce 228 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (279) yields:
% 17.85/4.83 | (280) all_0_15_15 = e2
% 17.85/4.83 | (281) all_0_21_21 = e2
% 17.85/4.83 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.83 |
% 17.85/4.83 | Equations (182) can reduce 262 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (284) yields:
% 17.85/4.83 | (285) all_0_15_15 = e0
% 17.85/4.83 | (286) all_0_21_21 = e0
% 17.85/4.83 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.83 |
% 17.85/4.83 | Equations (286) can reduce 187 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (289) yields:
% 17.85/4.83 | (290) all_0_19_19 = e1
% 17.85/4.83 | (291) all_0_22_22 = e1
% 17.85/4.83 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.83 |
% 17.85/4.83 | Equations (182) can reduce 262 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (294) yields:
% 17.85/4.83 | (295) all_0_19_19 = e0
% 17.85/4.83 | (296) all_0_22_22 = e0
% 17.85/4.83 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Equations (296) can reduce 188 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.83 | (300) all_0_18_18 = e0
% 17.85/4.83 |
% 17.85/4.83 | Equations (300) can reduce 215 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (218) all_0_18_18 = e3
% 17.85/4.83 | (256) all_0_16_16 = e1
% 17.85/4.83 |
% 17.85/4.83 | Equations (256) can reduce 71 to:
% 17.85/4.83 | (660) ~ (all_0_12_12 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Equations (256) can reduce 148 to:
% 17.85/4.83 | (976) ~ (all_0_17_17 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 976 yields:
% 17.85/4.83 | (228) ~ (all_0_17_17 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Equations (256,218) can reduce 108 to:
% 17.85/4.83 | (438) ~ (e3 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 438 yields:
% 17.85/4.83 | (147) ~ (e3 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Equations (256) can reduce 32 to:
% 17.85/4.83 | (309) ~ (all_0_19_19 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 309 yields:
% 17.85/4.83 | (310) ~ (all_0_19_19 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Equations (218) can reduce 121 to:
% 17.85/4.83 | (416) ~ (all_0_17_17 = e3)
% 17.85/4.83 |
% 17.85/4.83 | Equations (218) can reduce 123 to:
% 17.85/4.83 | (1125) ~ (all_0_19_19 = e3)
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 1125 yields:
% 17.85/4.83 | (469) ~ (all_0_19_19 = e3)
% 17.85/4.83 |
% 17.85/4.83 | Equations (218) can reduce 215 to:
% 17.85/4.83 | (107) ~ (e3 = e0)
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (157), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (327) all_0_19_19 = e3
% 17.85/4.83 |
% 17.85/4.83 | Equations (327) can reduce 469 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (469) ~ (all_0_19_19 = e3)
% 17.85/4.83 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (470), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (471) all_0_19_19 = e2
% 17.85/4.83 |
% 17.85/4.83 | Equations (471) can reduce 150 to:
% 17.85/4.83 | (1004) ~ (all_0_17_17 = e2)
% 17.85/4.83 |
% 17.85/4.83 | Equations (471) can reduce 310 to:
% 17.85/4.83 | (49) ~ (e2 = e1)
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (106), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (260) all_0_11_11 = e3
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (437,260) yields a new equation:
% 17.85/4.83 | (414) e3 = e1
% 17.85/4.83 |
% 17.85/4.83 | Equations (414) can reduce 147 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (204) ~ (all_0_11_11 = e3)
% 17.85/4.83 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 17.85/4.83 |
% 17.85/4.83 | Equations (437) can reduce 204 to:
% 17.85/4.83 | (438) ~ (e3 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 438 yields:
% 17.85/4.83 | (147) ~ (e3 = e1)
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (96), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (657) all_0_12_12 = e1
% 17.85/4.83 |
% 17.85/4.83 | Equations (657) can reduce 660 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (660) ~ (all_0_12_12 = e1)
% 17.85/4.83 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (92), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (501) all_0_12_12 = e0
% 17.85/4.83 |
% 17.85/4.83 | Equations (501) can reduce 711 to:
% 17.85/4.83 | (191) ~ (e2 = e0)
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 191 yields:
% 17.85/4.83 | (137) ~ (e2 = e0)
% 17.85/4.83 |
% 17.85/4.83 | Equations (501) can reduce 660 to:
% 17.85/4.83 | (193) ~ (e1 = e0)
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 193 yields:
% 17.85/4.83 | (90) ~ (e1 = e0)
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (54), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (320) all_0_16_16 = e0
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (256,320) yields a new equation:
% 17.85/4.83 | (371) e1 = e0
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 371 yields:
% 17.85/4.83 | (372) e1 = e0
% 17.85/4.83 |
% 17.85/4.83 | Equations (372) can reduce 90 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (480) ~ (all_0_16_16 = e0)
% 17.85/4.83 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 17.85/4.83 |
% 17.85/4.83 | Equations (256) can reduce 480 to:
% 17.85/4.83 | (90) ~ (e1 = e0)
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (64), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (428) all_0_9_9 = e1
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (240,428) yields a new equation:
% 17.85/4.83 | (441) e3 = e1
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 441 yields:
% 17.85/4.83 | (414) e3 = e1
% 17.85/4.83 |
% 17.85/4.83 | Equations (414) can reduce 147 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (304) ~ (all_0_9_9 = e1)
% 17.85/4.83 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 17.85/4.83 |
% 17.85/4.83 | Equations (240) can reduce 304 to:
% 17.85/4.83 | (147) ~ (e3 = e1)
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (152), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (229), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (230), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (231), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (232), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (233), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (234), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (235), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (236), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (237), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.85/4.83 |
% 17.85/4.83 +-Applying beta-rule and splitting (238), into two cases.
% 17.85/4.83 |-Branch one:
% 17.85/4.83 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (239) yields:
% 17.85/4.83 | (240) all_0_9_9 = e3
% 17.85/4.83 | (241) all_0_12_12 = e3
% 17.85/4.83 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (501,241) yields a new equation:
% 17.85/4.83 | (365) e3 = e0
% 17.85/4.83 |
% 17.85/4.83 | Equations (365) can reduce 107 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (244) yields:
% 17.85/4.83 | (245) all_0_9_9 = e2
% 17.85/4.83 | (246) all_0_12_12 = e2
% 17.85/4.83 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (501,246) yields a new equation:
% 17.85/4.83 | (490) e2 = e0
% 17.85/4.83 |
% 17.85/4.83 | Equations (490) can reduce 137 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (249) yields:
% 17.85/4.83 | (250) all_0_10_10 = e3
% 17.85/4.83 | (251) all_0_16_16 = e3
% 17.85/4.83 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (250,410) yields a new equation:
% 17.85/4.83 | (364) e3 = e0
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 364 yields:
% 17.85/4.83 | (365) e3 = e0
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (256,251) yields a new equation:
% 17.85/4.83 | (414) e3 = e1
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (365,414) yields a new equation:
% 17.85/4.83 | (372) e1 = e0
% 17.85/4.83 |
% 17.85/4.83 | Equations (372) can reduce 90 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (254) yields:
% 17.85/4.83 | (255) all_0_10_10 = e1
% 17.85/4.83 | (256) all_0_16_16 = e1
% 17.85/4.83 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (255,410) yields a new equation:
% 17.85/4.83 | (371) e1 = e0
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 371 yields:
% 17.85/4.83 | (372) e1 = e0
% 17.85/4.83 |
% 17.85/4.83 | Equations (372) can reduce 90 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (259) yields:
% 17.85/4.83 | (260) all_0_11_11 = e3
% 17.85/4.83 | (261) all_0_20_20 = e3
% 17.85/4.83 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (260,437) yields a new equation:
% 17.85/4.83 | (441) e3 = e1
% 17.85/4.83 |
% 17.85/4.83 | Simplifying 441 yields:
% 17.85/4.83 | (414) e3 = e1
% 17.85/4.83 |
% 17.85/4.83 | Equations (414) can reduce 147 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (264) yields:
% 17.85/4.83 | (265) all_0_11_11 = e0
% 17.85/4.83 | (266) all_0_20_20 = e0
% 17.85/4.83 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.83 |
% 17.85/4.83 | Combining equations (265,437) yields a new equation:
% 17.85/4.83 | (372) e1 = e0
% 17.85/4.83 |
% 17.85/4.83 | Equations (372) can reduce 90 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (269) yields:
% 17.85/4.83 | (270) all_0_14_14 = e2
% 17.85/4.83 | (271) all_0_17_17 = e2
% 17.85/4.83 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.83 |
% 17.85/4.83 | Equations (271) can reduce 1004 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.85/4.83 |
% 17.85/4.83 | Applying alpha-rule on (274) yields:
% 17.85/4.83 | (275) all_0_14_14 = e1
% 17.85/4.83 | (276) all_0_17_17 = e1
% 17.85/4.83 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.83 |
% 17.85/4.83 | Equations (276) can reduce 228 to:
% 17.85/4.83 | (172) $false
% 17.85/4.83 |
% 17.85/4.83 |-The branch is then unsatisfiable
% 17.85/4.83 |-Branch two:
% 17.85/4.83 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Applying alpha-rule on (279) yields:
% 17.85/4.84 | (280) all_0_15_15 = e2
% 17.85/4.84 | (281) all_0_21_21 = e2
% 17.85/4.84 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Equations (182) can reduce 262 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Applying alpha-rule on (284) yields:
% 17.85/4.84 | (285) all_0_15_15 = e0
% 17.85/4.84 | (286) all_0_21_21 = e0
% 17.85/4.84 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Equations (286) can reduce 187 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Applying alpha-rule on (289) yields:
% 17.85/4.84 | (290) all_0_19_19 = e1
% 17.85/4.84 | (291) all_0_22_22 = e1
% 17.85/4.84 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Combining equations (290,471) yields a new equation:
% 17.85/4.84 | (388) e2 = e1
% 17.85/4.84 |
% 17.85/4.84 | Equations (388) can reduce 49 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Applying alpha-rule on (294) yields:
% 17.85/4.84 | (295) all_0_19_19 = e0
% 17.85/4.84 | (296) all_0_22_22 = e0
% 17.85/4.84 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Combining equations (295,471) yields a new equation:
% 17.85/4.84 | (490) e2 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (490) can reduce 137 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (505) ~ (all_0_12_12 = e0)
% 17.85/4.84 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (26), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (413) all_0_17_17 = e3
% 17.85/4.84 |
% 17.85/4.84 | Equations (413) can reduce 416 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (416) ~ (all_0_17_17 = e3)
% 17.85/4.84 | (2068) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (2068), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (271) all_0_17_17 = e2
% 17.85/4.84 |
% 17.85/4.84 | Equations (271) can reduce 1004 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (1004) ~ (all_0_17_17 = e2)
% 17.85/4.84 | (2072) all_0_17_17 = e1 | all_0_17_17 = e0
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (2072), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (276) all_0_17_17 = e1
% 17.85/4.84 |
% 17.85/4.84 | Equations (276) can reduce 228 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (228) ~ (all_0_17_17 = e1)
% 17.85/4.84 | (482) all_0_17_17 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (482) can reduce 1004 to:
% 17.85/4.84 | (191) ~ (e2 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 191 yields:
% 17.85/4.84 | (137) ~ (e2 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Equations (482) can reduce 228 to:
% 17.85/4.84 | (193) ~ (e1 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 193 yields:
% 17.85/4.84 | (90) ~ (e1 = e0)
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (58), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (613) all_0_8_8 = e0
% 17.85/4.84 |
% 17.85/4.84 | Combining equations (613,1100) yields a new equation:
% 17.85/4.84 | (490) e2 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (490) can reduce 137 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (197) ~ (all_0_8_8 = e0)
% 17.85/4.84 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (623), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (501) all_0_12_12 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (501) can reduce 505 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (505) ~ (all_0_12_12 = e0)
% 17.85/4.84 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (2089), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (320) all_0_16_16 = e0
% 17.85/4.84 |
% 17.85/4.84 | Combining equations (256,320) yields a new equation:
% 17.85/4.84 | (371) e1 = e0
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 371 yields:
% 17.85/4.84 | (372) e1 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (372) can reduce 90 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (480) ~ (all_0_16_16 = e0)
% 17.85/4.84 | (266) all_0_20_20 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (266) can reduce 186 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (314) ~ (all_0_19_19 = e2)
% 17.85/4.84 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (474), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (290) all_0_19_19 = e1
% 17.85/4.84 |
% 17.85/4.84 | Equations (290) can reduce 310 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (310) ~ (all_0_19_19 = e1)
% 17.85/4.84 | (295) all_0_19_19 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (295) can reduce 185 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (222) all_0_18_18 = e2
% 17.85/4.84 | (276) all_0_17_17 = e1
% 17.85/4.84 |
% 17.85/4.84 | Equations (276) can reduce 5 to:
% 17.85/4.84 | (167) ~ (all_0_13_13 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Equations (222) can reduce 21 to:
% 17.85/4.84 | (498) ~ (all_0_14_14 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Equations (222) can reduce 108 to:
% 17.85/4.84 | (854) ~ (all_0_16_16 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Equations (276,222) can reduce 121 to:
% 17.85/4.84 | (307) ~ (e2 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 307 yields:
% 17.85/4.84 | (49) ~ (e2 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Equations (276) can reduce 150 to:
% 17.85/4.84 | (309) ~ (all_0_19_19 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 309 yields:
% 17.85/4.84 | (310) ~ (all_0_19_19 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Equations (276) can reduce 416 to:
% 17.85/4.84 | (438) ~ (e3 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 438 yields:
% 17.85/4.84 | (147) ~ (e3 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Equations (222) can reduce 101 to:
% 17.85/4.84 | (2115) ~ (all_0_22_22 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 2115 yields:
% 17.85/4.84 | (933) ~ (all_0_22_22 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Equations (222) can reduce 215 to:
% 17.85/4.84 | (137) ~ (e2 = e0)
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (54), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (320) all_0_16_16 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (320) can reduce 71 to:
% 17.85/4.84 | (505) ~ (all_0_12_12 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Equations (320) can reduce 32 to:
% 17.85/4.84 | (321) ~ (all_0_19_19 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 321 yields:
% 17.85/4.84 | (185) ~ (all_0_19_19 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Equations (320) can reduce 151 to:
% 17.85/4.84 | (323) ~ (all_0_20_20 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 323 yields:
% 17.85/4.84 | (186) ~ (all_0_20_20 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Equations (320) can reduce 854 to:
% 17.85/4.84 | (191) ~ (e2 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 191 yields:
% 17.85/4.84 | (137) ~ (e2 = e0)
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (92), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (501) all_0_12_12 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (501) can reduce 505 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (505) ~ (all_0_12_12 = e0)
% 17.85/4.84 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (20), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (251) all_0_16_16 = e3
% 17.85/4.84 |
% 17.85/4.84 | Combining equations (320,251) yields a new equation:
% 17.85/4.84 | (365) e3 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (365) can reduce 107 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (208) ~ (all_0_16_16 = e3)
% 17.85/4.84 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (122), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (635) all_0_11_11 = e2
% 17.85/4.84 |
% 17.85/4.84 | Combining equations (437,635) yields a new equation:
% 17.85/4.84 | (388) e2 = e1
% 17.85/4.84 |
% 17.85/4.84 | Equations (388) can reduce 49 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (953) ~ (all_0_11_11 = e2)
% 17.85/4.84 | (2139) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (132), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (687) all_0_20_20 = e2
% 17.85/4.84 |
% 17.85/4.84 | Equations (687) can reduce 668 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (668) ~ (all_0_20_20 = e2)
% 17.85/4.84 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (1798), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (281) all_0_21_21 = e2
% 17.85/4.84 |
% 17.85/4.84 | Equations (281) can reduce 142 to:
% 17.85/4.84 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Equations (281) can reduce 1618 to:
% 17.85/4.84 | (499) ~ (e3 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 499 yields:
% 17.85/4.84 | (69) ~ (e3 = e2)
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (2139), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (280) all_0_15_15 = e2
% 17.85/4.84 |
% 17.85/4.84 | Equations (280) can reduce 162 to:
% 17.85/4.84 | (711) ~ (all_0_12_12 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Equations (280) can reduce 84 to:
% 17.85/4.84 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Equations (280) can reduce 149 to:
% 17.85/4.84 | (313) ~ (all_0_19_19 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 313 yields:
% 17.85/4.84 | (314) ~ (all_0_19_19 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Equations (280) can reduce 602 to:
% 17.85/4.84 | (49) ~ (e2 = e1)
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (506), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (507) all_0_13_13 = e0
% 17.85/4.84 |
% 17.85/4.84 | Combining equations (507,1661) yields a new equation:
% 17.85/4.84 | (2155) all_0_7_7 = e0
% 17.85/4.84 |
% 17.85/4.84 | Equations (507) can reduce 112 to:
% 17.85/4.84 | (505) ~ (all_0_12_12 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Equations (507) can reduce 242 to:
% 17.85/4.84 | (191) ~ (e2 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 191 yields:
% 17.85/4.84 | (137) ~ (e2 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Equations (507) can reduce 167 to:
% 17.85/4.84 | (193) ~ (e1 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 193 yields:
% 17.85/4.84 | (90) ~ (e1 = e0)
% 17.85/4.84 |
% 17.85/4.84 | From (507) and (1662) follows:
% 17.85/4.84 | (2161) op(e0, e3) = all_0_6_6
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (74), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (2162) ~ (all_0_6_6 = e1)
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (648), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (413) all_0_17_17 = e3
% 17.85/4.84 |
% 17.85/4.84 | Combining equations (276,413) yields a new equation:
% 17.85/4.84 | (414) e3 = e1
% 17.85/4.84 |
% 17.85/4.84 | Equations (414) can reduce 147 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (416) ~ (all_0_17_17 = e3)
% 17.85/4.84 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (862), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (218) all_0_18_18 = e3
% 17.85/4.84 |
% 17.85/4.84 | Combining equations (218,222) yields a new equation:
% 17.85/4.84 | (532) e3 = e2
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 532 yields:
% 17.85/4.84 | (533) e3 = e2
% 17.85/4.84 |
% 17.85/4.84 | Equations (533) can reduce 69 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (214) ~ (all_0_18_18 = e3)
% 17.85/4.84 | (327) all_0_19_19 = e3
% 17.85/4.84 |
% 17.85/4.84 | Equations (327) can reduce 314 to:
% 17.85/4.84 | (69) ~ (e3 = e2)
% 17.85/4.84 |
% 17.85/4.84 | Equations (327) can reduce 310 to:
% 17.85/4.84 | (147) ~ (e3 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Equations (327) can reduce 185 to:
% 17.85/4.84 | (107) ~ (e3 = e0)
% 17.85/4.84 |
% 17.85/4.84 | Instantiating formula (143) with e0, e3, all_0_6_6, all_0_20_20 and discharging atoms op(e0, e3) = all_0_6_6, op(e0, e3) = all_0_20_20, yields:
% 17.85/4.84 | (2177) all_0_6_6 = all_0_20_20
% 17.85/4.84 |
% 17.85/4.84 | Equations (2177) can reduce 2162 to:
% 17.85/4.84 | (839) ~ (all_0_20_20 = e1)
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (72), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (261) all_0_20_20 = e3
% 17.85/4.84 |
% 17.85/4.84 | Equations (261) can reduce 41 to:
% 17.85/4.84 | (206) ~ (all_0_12_12 = e3)
% 17.85/4.84 |
% 17.85/4.84 | Equations (261) can reduce 186 to:
% 17.85/4.84 | (107) ~ (e3 = e0)
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (89), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (241) all_0_12_12 = e3
% 17.85/4.84 |
% 17.85/4.84 | Equations (241) can reduce 206 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (206) ~ (all_0_12_12 = e3)
% 17.85/4.84 | (2185) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (2185), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (246) all_0_12_12 = e2
% 17.85/4.84 |
% 17.85/4.84 | Equations (246) can reduce 711 to:
% 17.85/4.84 | (172) $false
% 17.85/4.84 |
% 17.85/4.84 |-The branch is then unsatisfiable
% 17.85/4.84 |-Branch two:
% 17.85/4.84 | (711) ~ (all_0_12_12 = e2)
% 17.85/4.84 | (2189) all_0_12_12 = e1 | all_0_12_12 = e0
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (2189), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (657) all_0_12_12 = e1
% 17.85/4.84 |
% 17.85/4.84 | Equations (657) can reduce 127 to:
% 17.85/4.84 | (2191) ~ (all_0_14_14 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 2191 yields:
% 17.85/4.84 | (835) ~ (all_0_14_14 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Equations (657) can reduce 206 to:
% 17.85/4.84 | (438) ~ (e3 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 438 yields:
% 17.85/4.84 | (147) ~ (e3 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Equations (657) can reduce 711 to:
% 17.85/4.84 | (307) ~ (e2 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Simplifying 307 yields:
% 17.85/4.84 | (49) ~ (e2 = e1)
% 17.85/4.84 |
% 17.85/4.84 | Equations (657) can reduce 505 to:
% 17.85/4.84 | (90) ~ (e1 = e0)
% 17.85/4.84 |
% 17.85/4.84 +-Applying beta-rule and splitting (152), into two cases.
% 17.85/4.84 |-Branch one:
% 17.85/4.84 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (229), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (230), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (231), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (232), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (233), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (234), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (235), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (236), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (237), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (238), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (239) yields:
% 17.85/4.85 | (240) all_0_9_9 = e3
% 17.85/4.85 | (241) all_0_12_12 = e3
% 17.85/4.85 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (241,657) yields a new equation:
% 17.85/4.85 | (441) e3 = e1
% 17.85/4.85 |
% 17.85/4.85 | Simplifying 441 yields:
% 17.85/4.85 | (414) e3 = e1
% 17.85/4.85 |
% 17.85/4.85 | Equations (414) can reduce 147 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (244) yields:
% 17.85/4.85 | (245) all_0_9_9 = e2
% 17.85/4.85 | (246) all_0_12_12 = e2
% 17.85/4.85 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (246,657) yields a new equation:
% 17.85/4.85 | (716) e2 = e1
% 17.85/4.85 |
% 17.85/4.85 | Simplifying 716 yields:
% 17.85/4.85 | (388) e2 = e1
% 17.85/4.85 |
% 17.85/4.85 | Equations (388) can reduce 49 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (249) yields:
% 17.85/4.85 | (250) all_0_10_10 = e3
% 17.85/4.85 | (251) all_0_16_16 = e3
% 17.85/4.85 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (320,251) yields a new equation:
% 17.85/4.85 | (365) e3 = e0
% 17.85/4.85 |
% 17.85/4.85 | Equations (365) can reduce 107 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (254) yields:
% 17.85/4.85 | (255) all_0_10_10 = e1
% 17.85/4.85 | (256) all_0_16_16 = e1
% 17.85/4.85 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (320,256) yields a new equation:
% 17.85/4.85 | (372) e1 = e0
% 17.85/4.85 |
% 17.85/4.85 | Equations (372) can reduce 90 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (259) yields:
% 17.85/4.85 | (260) all_0_11_11 = e3
% 17.85/4.85 | (261) all_0_20_20 = e3
% 17.85/4.85 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (260,437) yields a new equation:
% 17.85/4.85 | (441) e3 = e1
% 17.85/4.85 |
% 17.85/4.85 | Simplifying 441 yields:
% 17.85/4.85 | (414) e3 = e1
% 17.85/4.85 |
% 17.85/4.85 | Equations (414) can reduce 147 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (264) yields:
% 17.85/4.85 | (265) all_0_11_11 = e0
% 17.85/4.85 | (266) all_0_20_20 = e0
% 17.85/4.85 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (265,437) yields a new equation:
% 17.85/4.85 | (372) e1 = e0
% 17.85/4.85 |
% 17.85/4.85 | Equations (372) can reduce 90 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (269) yields:
% 17.85/4.85 | (270) all_0_14_14 = e2
% 17.85/4.85 | (271) all_0_17_17 = e2
% 17.85/4.85 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (276,271) yields a new equation:
% 17.85/4.85 | (388) e2 = e1
% 17.85/4.85 |
% 17.85/4.85 | Equations (388) can reduce 49 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (274) yields:
% 17.85/4.85 | (275) all_0_14_14 = e1
% 17.85/4.85 | (276) all_0_17_17 = e1
% 17.85/4.85 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.85 |
% 17.85/4.85 | Equations (275) can reduce 835 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (279) yields:
% 17.85/4.85 | (280) all_0_15_15 = e2
% 17.85/4.85 | (281) all_0_21_21 = e2
% 17.85/4.85 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.85 |
% 17.85/4.85 | Equations (182) can reduce 262 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (284) yields:
% 17.85/4.85 | (285) all_0_15_15 = e0
% 17.85/4.85 | (286) all_0_21_21 = e0
% 17.85/4.85 | (242) ~ (all_0_13_13 = e2)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (286,281) yields a new equation:
% 17.85/4.85 | (490) e2 = e0
% 17.85/4.85 |
% 17.85/4.85 | Equations (490) can reduce 137 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (289) yields:
% 17.85/4.85 | (290) all_0_19_19 = e1
% 17.85/4.85 | (291) all_0_22_22 = e1
% 17.85/4.85 | (262) ~ (all_0_23_23 = e0)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (290,327) yields a new equation:
% 17.85/4.85 | (414) e3 = e1
% 17.85/4.85 |
% 17.85/4.85 | Equations (414) can reduce 147 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 17.85/4.85 |
% 17.85/4.85 | Applying alpha-rule on (294) yields:
% 17.85/4.85 | (295) all_0_19_19 = e0
% 17.85/4.85 | (296) all_0_22_22 = e0
% 17.85/4.85 | (252) ~ (all_0_18_18 = e1)
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (295,327) yields a new equation:
% 17.85/4.85 | (365) e3 = e0
% 17.85/4.85 |
% 17.85/4.85 | Equations (365) can reduce 107 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (660) ~ (all_0_12_12 = e1)
% 17.85/4.85 | (501) all_0_12_12 = e0
% 17.85/4.85 |
% 17.85/4.85 | Equations (501) can reduce 505 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (210) ~ (all_0_20_20 = e3)
% 17.85/4.85 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (22), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (261) all_0_20_20 = e3
% 17.85/4.85 |
% 17.85/4.85 | Equations (261) can reduce 210 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (210) ~ (all_0_20_20 = e3)
% 17.85/4.85 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (109), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (198) all_0_8_8 = e3
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (1100,198) yields a new equation:
% 17.85/4.85 | (533) e3 = e2
% 17.85/4.85 |
% 17.85/4.85 | Equations (533) can reduce 69 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (247) ~ (all_0_8_8 = e3)
% 17.85/4.85 | (1179) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (1179), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (241) all_0_12_12 = e3
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (135), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (423) all_0_8_8 = e1
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (1100,423) yields a new equation:
% 17.85/4.85 | (716) e2 = e1
% 17.85/4.85 |
% 17.85/4.85 | Simplifying 716 yields:
% 17.85/4.85 | (388) e2 = e1
% 17.85/4.85 |
% 17.85/4.85 | Equations (388) can reduce 49 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (195) ~ (all_0_8_8 = e1)
% 17.85/4.85 | (875) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (875), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (657) all_0_12_12 = e1
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (241,657) yields a new equation:
% 17.85/4.85 | (441) e3 = e1
% 17.85/4.85 |
% 17.85/4.85 | Simplifying 441 yields:
% 17.85/4.85 | (414) e3 = e1
% 17.85/4.85 |
% 17.85/4.85 | Equations (414) can reduce 147 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (660) ~ (all_0_12_12 = e1)
% 17.85/4.85 | (895) all_0_16_16 = e1 | all_0_20_20 = e1
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (895), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (256) all_0_16_16 = e1
% 17.85/4.85 |
% 17.85/4.85 | Combining equations (320,256) yields a new equation:
% 17.85/4.85 | (372) e1 = e0
% 17.85/4.85 |
% 17.85/4.85 | Equations (372) can reduce 90 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (227) ~ (all_0_16_16 = e1)
% 17.85/4.85 | (691) all_0_20_20 = e1
% 17.85/4.85 |
% 17.85/4.85 | Equations (691) can reduce 839 to:
% 17.85/4.85 | (172) $false
% 17.85/4.85 |
% 17.85/4.85 |-The branch is then unsatisfiable
% 17.85/4.85 |-Branch two:
% 17.85/4.85 | (206) ~ (all_0_12_12 = e3)
% 17.85/4.85 | (2315) all_0_16_16 = e3 | all_0_20_20 = e3
% 17.85/4.85 |
% 17.85/4.85 +-Applying beta-rule and splitting (2315), into two cases.
% 17.85/4.85 |-Branch one:
% 17.85/4.85 | (251) all_0_16_16 = e3
% 18.15/4.85 |
% 18.15/4.85 | Combining equations (320,251) yields a new equation:
% 18.15/4.85 | (365) e3 = e0
% 18.15/4.85 |
% 18.15/4.85 | Equations (365) can reduce 107 to:
% 18.15/4.85 | (172) $false
% 18.15/4.85 |
% 18.15/4.85 |-The branch is then unsatisfiable
% 18.15/4.85 |-Branch two:
% 18.15/4.85 | (208) ~ (all_0_16_16 = e3)
% 18.15/4.85 | (261) all_0_20_20 = e3
% 18.15/4.85 |
% 18.15/4.85 | Equations (261) can reduce 210 to:
% 18.15/4.85 | (172) $false
% 18.15/4.85 |
% 18.15/4.85 |-The branch is then unsatisfiable
% 18.15/4.85 |-Branch two:
% 18.15/4.85 | (2322) all_0_6_6 = e1
% 18.15/4.85 | (2323) ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e2)
% 18.15/4.85 |
% 18.15/4.85 +-Applying beta-rule and splitting (2323), into two cases.
% 18.15/4.85 |-Branch one:
% 18.15/4.85 | (2324) ~ (all_0_7_7 = e0)
% 18.15/4.85 |
% 18.15/4.85 | Equations (2155) can reduce 2324 to:
% 18.15/4.85 | (172) $false
% 18.15/4.85 |
% 18.15/4.85 |-The branch is then unsatisfiable
% 18.15/4.85 |-Branch two:
% 18.15/4.85 | (2155) all_0_7_7 = e0
% 18.15/4.85 | (196) ~ (all_0_8_8 = e2)
% 18.15/4.86 |
% 18.15/4.86 | Equations (1100) can reduce 196 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (511) ~ (all_0_13_13 = e0)
% 18.15/4.86 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (25), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (336) all_0_13_13 = e3
% 18.15/4.86 |
% 18.15/4.86 | Equations (336) can reduce 216 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (216) ~ (all_0_13_13 = e3)
% 18.15/4.86 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (1157), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (727) all_0_13_13 = e2
% 18.15/4.86 |
% 18.15/4.86 | Equations (727) can reduce 242 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (242) ~ (all_0_13_13 = e2)
% 18.15/4.86 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (2338), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (679) all_0_13_13 = e1
% 18.15/4.86 |
% 18.15/4.86 | Equations (679) can reduce 167 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (167) ~ (all_0_13_13 = e1)
% 18.15/4.86 | (507) all_0_13_13 = e0
% 18.15/4.86 |
% 18.15/4.86 | Equations (507) can reduce 511 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (1585) ~ (all_0_15_15 = e2)
% 18.15/4.86 | (2345) all_0_19_19 = e2 | all_0_23_23 = e2
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (43), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (246) all_0_12_12 = e2
% 18.15/4.86 |
% 18.15/4.86 | Equations (246) can reduce 711 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (711) ~ (all_0_12_12 = e2)
% 18.15/4.86 | (712) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (712), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (727) all_0_13_13 = e2
% 18.15/4.86 |
% 18.15/4.86 | Equations (727) can reduce 242 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (242) ~ (all_0_13_13 = e2)
% 18.15/4.86 | (826) all_0_14_14 = e2 | all_0_15_15 = e2
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (826), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (270) all_0_14_14 = e2
% 18.15/4.86 |
% 18.15/4.86 | Equations (270) can reduce 498 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (498) ~ (all_0_14_14 = e2)
% 18.15/4.86 | (280) all_0_15_15 = e2
% 18.15/4.86 |
% 18.15/4.86 | Equations (280) can reduce 1585 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (1811) ~ (all_0_21_21 = e2)
% 18.15/4.86 | (1812) all_0_22_22 = e2 | all_0_23_23 = e2
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (1812), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (725) all_0_22_22 = e2
% 18.15/4.86 |
% 18.15/4.86 | Equations (725) can reduce 933 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (933) ~ (all_0_22_22 = e2)
% 18.15/4.86 | (175) all_0_23_23 = e2
% 18.15/4.86 |
% 18.15/4.86 | Combining equations (175,182) yields a new equation:
% 18.15/4.86 | (489) e2 = e0
% 18.15/4.86 |
% 18.15/4.86 | Simplifying 489 yields:
% 18.15/4.86 | (490) e2 = e0
% 18.15/4.86 |
% 18.15/4.86 | Equations (490) can reduce 137 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (480) ~ (all_0_16_16 = e0)
% 18.15/4.86 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (58), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (613) all_0_8_8 = e0
% 18.15/4.86 |
% 18.15/4.86 | Combining equations (613,1100) yields a new equation:
% 18.15/4.86 | (490) e2 = e0
% 18.15/4.86 |
% 18.15/4.86 | Equations (490) can reduce 137 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (197) ~ (all_0_8_8 = e0)
% 18.15/4.86 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (623), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (501) all_0_12_12 = e0
% 18.15/4.86 |
% 18.15/4.86 | Equations (501) can reduce 112 to:
% 18.15/4.86 | (673) ~ (all_0_13_13 = e0)
% 18.15/4.86 |
% 18.15/4.86 | Simplifying 673 yields:
% 18.15/4.86 | (511) ~ (all_0_13_13 = e0)
% 18.15/4.86 |
% 18.15/4.86 | Equations (501) can reduce 711 to:
% 18.15/4.86 | (191) ~ (e2 = e0)
% 18.15/4.86 |
% 18.15/4.86 | Simplifying 191 yields:
% 18.15/4.86 | (137) ~ (e2 = e0)
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (25), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (336) all_0_13_13 = e3
% 18.15/4.86 |
% 18.15/4.86 | Equations (336) can reduce 216 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (216) ~ (all_0_13_13 = e3)
% 18.15/4.86 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (152), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (229), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (230), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (231), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (232), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (233), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (234), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (235), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (236), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (237), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (238), into two cases.
% 18.15/4.86 |-Branch one:
% 18.15/4.86 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.15/4.86 |
% 18.15/4.86 | Applying alpha-rule on (239) yields:
% 18.15/4.86 | (240) all_0_9_9 = e3
% 18.15/4.86 | (241) all_0_12_12 = e3
% 18.15/4.86 | (242) ~ (all_0_13_13 = e2)
% 18.15/4.86 |
% 18.15/4.86 | Combining equations (501,241) yields a new equation:
% 18.15/4.86 | (365) e3 = e0
% 18.15/4.86 |
% 18.15/4.86 | Equations (365) can reduce 107 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.15/4.86 |
% 18.15/4.86 | Applying alpha-rule on (244) yields:
% 18.15/4.86 | (245) all_0_9_9 = e2
% 18.15/4.86 | (246) all_0_12_12 = e2
% 18.15/4.86 | (247) ~ (all_0_8_8 = e3)
% 18.15/4.86 |
% 18.15/4.86 | Combining equations (501,246) yields a new equation:
% 18.15/4.86 | (490) e2 = e0
% 18.15/4.86 |
% 18.15/4.86 | Equations (490) can reduce 137 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.15/4.86 |
% 18.15/4.86 | Applying alpha-rule on (249) yields:
% 18.15/4.86 | (250) all_0_10_10 = e3
% 18.15/4.86 | (251) all_0_16_16 = e3
% 18.15/4.86 | (252) ~ (all_0_18_18 = e1)
% 18.15/4.86 |
% 18.15/4.86 | Combining equations (250,410) yields a new equation:
% 18.15/4.86 | (364) e3 = e0
% 18.15/4.86 |
% 18.15/4.86 | Simplifying 364 yields:
% 18.15/4.86 | (365) e3 = e0
% 18.15/4.86 |
% 18.15/4.86 | Equations (365) can reduce 107 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.15/4.86 |
% 18.15/4.86 | Applying alpha-rule on (254) yields:
% 18.15/4.86 | (255) all_0_10_10 = e1
% 18.15/4.86 | (256) all_0_16_16 = e1
% 18.15/4.86 | (247) ~ (all_0_8_8 = e3)
% 18.15/4.86 |
% 18.15/4.86 | Combining equations (255,410) yields a new equation:
% 18.15/4.86 | (371) e1 = e0
% 18.15/4.86 |
% 18.15/4.86 | Simplifying 371 yields:
% 18.15/4.86 | (372) e1 = e0
% 18.15/4.86 |
% 18.15/4.86 | Equations (372) can reduce 90 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.15/4.86 |
% 18.15/4.86 | Applying alpha-rule on (259) yields:
% 18.15/4.86 | (260) all_0_11_11 = e3
% 18.15/4.86 | (261) all_0_20_20 = e3
% 18.15/4.86 | (262) ~ (all_0_23_23 = e0)
% 18.15/4.86 |
% 18.15/4.86 | Combining equations (260,437) yields a new equation:
% 18.15/4.86 | (441) e3 = e1
% 18.15/4.86 |
% 18.15/4.86 | Simplifying 441 yields:
% 18.15/4.86 | (414) e3 = e1
% 18.15/4.86 |
% 18.15/4.86 | Equations (414) can reduce 147 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.15/4.86 |
% 18.15/4.86 | Applying alpha-rule on (264) yields:
% 18.15/4.86 | (265) all_0_11_11 = e0
% 18.15/4.86 | (266) all_0_20_20 = e0
% 18.15/4.86 | (247) ~ (all_0_8_8 = e3)
% 18.15/4.86 |
% 18.15/4.86 | Combining equations (265,437) yields a new equation:
% 18.15/4.86 | (372) e1 = e0
% 18.15/4.86 |
% 18.15/4.86 | Equations (372) can reduce 90 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.15/4.86 |
% 18.15/4.86 | Applying alpha-rule on (269) yields:
% 18.15/4.86 | (270) all_0_14_14 = e2
% 18.15/4.86 | (271) all_0_17_17 = e2
% 18.15/4.86 | (252) ~ (all_0_18_18 = e1)
% 18.15/4.86 |
% 18.15/4.86 | Combining equations (276,271) yields a new equation:
% 18.15/4.86 | (388) e2 = e1
% 18.15/4.86 |
% 18.15/4.86 | Equations (388) can reduce 49 to:
% 18.15/4.86 | (172) $false
% 18.15/4.86 |
% 18.15/4.86 |-The branch is then unsatisfiable
% 18.15/4.86 |-Branch two:
% 18.15/4.86 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.15/4.86 |
% 18.15/4.86 | Applying alpha-rule on (274) yields:
% 18.15/4.86 | (275) all_0_14_14 = e1
% 18.15/4.86 | (276) all_0_17_17 = e1
% 18.15/4.86 | (242) ~ (all_0_13_13 = e2)
% 18.15/4.86 |
% 18.15/4.86 | Equations (275) can reduce 12 to:
% 18.15/4.86 | (167) ~ (all_0_13_13 = e1)
% 18.15/4.86 |
% 18.15/4.86 +-Applying beta-rule and splitting (1157), into two cases.
% 18.15/4.86 |-Branch one:
% 18.19/4.86 | (727) all_0_13_13 = e2
% 18.19/4.86 |
% 18.19/4.86 | Equations (727) can reduce 242 to:
% 18.19/4.86 | (172) $false
% 18.19/4.86 |
% 18.19/4.86 |-The branch is then unsatisfiable
% 18.19/4.86 |-Branch two:
% 18.19/4.86 | (242) ~ (all_0_13_13 = e2)
% 18.19/4.86 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 18.19/4.86 |
% 18.19/4.86 +-Applying beta-rule and splitting (2338), into two cases.
% 18.19/4.86 |-Branch one:
% 18.19/4.86 | (679) all_0_13_13 = e1
% 18.19/4.87 |
% 18.19/4.87 | Equations (679) can reduce 167 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (167) ~ (all_0_13_13 = e1)
% 18.19/4.87 | (507) all_0_13_13 = e0
% 18.19/4.87 |
% 18.19/4.87 | Equations (507) can reduce 511 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Applying alpha-rule on (279) yields:
% 18.19/4.87 | (280) all_0_15_15 = e2
% 18.19/4.87 | (281) all_0_21_21 = e2
% 18.19/4.87 | (262) ~ (all_0_23_23 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Equations (182) can reduce 262 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Applying alpha-rule on (284) yields:
% 18.19/4.87 | (285) all_0_15_15 = e0
% 18.19/4.87 | (286) all_0_21_21 = e0
% 18.19/4.87 | (242) ~ (all_0_13_13 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Equations (286) can reduce 187 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Applying alpha-rule on (289) yields:
% 18.19/4.87 | (290) all_0_19_19 = e1
% 18.19/4.87 | (291) all_0_22_22 = e1
% 18.19/4.87 | (262) ~ (all_0_23_23 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Equations (182) can reduce 262 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Applying alpha-rule on (294) yields:
% 18.19/4.87 | (295) all_0_19_19 = e0
% 18.19/4.87 | (296) all_0_22_22 = e0
% 18.19/4.87 | (252) ~ (all_0_18_18 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Equations (296) can reduce 188 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (505) ~ (all_0_12_12 = e0)
% 18.19/4.87 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (2089), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (320) all_0_16_16 = e0
% 18.19/4.87 |
% 18.19/4.87 | Equations (320) can reduce 480 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (480) ~ (all_0_16_16 = e0)
% 18.19/4.87 | (266) all_0_20_20 = e0
% 18.19/4.87 |
% 18.19/4.87 | Equations (266) can reduce 186 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (599) ~ (all_0_10_10 = e0)
% 18.19/4.87 | (265) all_0_11_11 = e0
% 18.19/4.87 |
% 18.19/4.87 | Equations (265) can reduce 183 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (423) all_0_8_8 = e1
% 18.19/4.87 | (250) all_0_10_10 = e3
% 18.19/4.87 |
% 18.19/4.87 | Equations (423) can reduce 113 to:
% 18.19/4.87 | (2485) ~ (all_0_9_9 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 2485 yields:
% 18.19/4.87 | (304) ~ (all_0_9_9 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Equations (423,250) can reduce 59 to:
% 18.19/4.87 | (438) ~ (e3 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 438 yields:
% 18.19/4.87 | (147) ~ (e3 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Equations (423) can reduce 39 to:
% 18.19/4.87 | (2489) ~ (all_0_11_11 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 2489 yields:
% 18.19/4.87 | (600) ~ (all_0_11_11 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Equations (423) can reduce 35 to:
% 18.19/4.87 | (2491) ~ (all_0_12_12 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 2491 yields:
% 18.19/4.87 | (660) ~ (all_0_12_12 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Equations (423) can reduce 104 to:
% 18.19/4.87 | (2493) ~ (all_0_16_16 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 2493 yields:
% 18.19/4.87 | (227) ~ (all_0_16_16 = e1)
% 18.19/4.87 |
% 18.19/4.87 | Equations (250) can reduce 79 to:
% 18.19/4.87 | (200) ~ (all_0_9_9 = e3)
% 18.19/4.87 |
% 18.19/4.87 | Equations (250) can reduce 52 to:
% 18.19/4.87 | (203) ~ (all_0_11_11 = e3)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 203 yields:
% 18.19/4.87 | (204) ~ (all_0_11_11 = e3)
% 18.19/4.87 |
% 18.19/4.87 | Equations (250) can reduce 145 to:
% 18.19/4.87 | (880) ~ (all_0_22_22 = e3)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 880 yields:
% 18.19/4.87 | (881) ~ (all_0_22_22 = e3)
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (119), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (260) all_0_11_11 = e3
% 18.19/4.87 |
% 18.19/4.87 | Equations (260) can reduce 204 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (204) ~ (all_0_11_11 = e3)
% 18.19/4.87 | (612) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (70), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (613) all_0_8_8 = e0
% 18.19/4.87 |
% 18.19/4.87 | Combining equations (613,423) yields a new equation:
% 18.19/4.87 | (372) e1 = e0
% 18.19/4.87 |
% 18.19/4.87 | Equations (372) can reduce 90 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (197) ~ (all_0_8_8 = e0)
% 18.19/4.87 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (617), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (672) all_0_9_9 = e0
% 18.19/4.87 |
% 18.19/4.87 | Equations (672) can reduce 97 to:
% 18.19/4.87 | (1632) ~ (all_0_11_11 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 1632 yields:
% 18.19/4.87 | (183) ~ (all_0_11_11 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Equations (672) can reduce 18 to:
% 18.19/4.87 | (673) ~ (all_0_13_13 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 673 yields:
% 18.19/4.87 | (511) ~ (all_0_13_13 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Equations (672) can reduce 17 to:
% 18.19/4.87 | (991) ~ (all_0_21_21 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 991 yields:
% 18.19/4.87 | (187) ~ (all_0_21_21 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Equations (672) can reduce 200 to:
% 18.19/4.87 | (189) ~ (e3 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 189 yields:
% 18.19/4.87 | (107) ~ (e3 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Equations (672) can reduce 304 to:
% 18.19/4.87 | (193) ~ (e1 = e0)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 193 yields:
% 18.19/4.87 | (90) ~ (e1 = e0)
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (612), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (635) all_0_11_11 = e2
% 18.19/4.87 |
% 18.19/4.87 | Equations (635) can reduce 115 to:
% 18.19/4.87 | (313) ~ (all_0_19_19 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 313 yields:
% 18.19/4.87 | (314) ~ (all_0_19_19 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Equations (635) can reduce 183 to:
% 18.19/4.87 | (137) ~ (e2 = e0)
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (153), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (216) ~ (all_0_13_13 = e3)
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (25), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (336) all_0_13_13 = e3
% 18.19/4.87 |
% 18.19/4.87 | Equations (336) can reduce 216 to:
% 18.19/4.87 | (172) $false
% 18.19/4.87 |
% 18.19/4.87 |-The branch is then unsatisfiable
% 18.19/4.87 |-Branch two:
% 18.19/4.87 | (216) ~ (all_0_13_13 = e3)
% 18.19/4.87 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (1157), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (727) all_0_13_13 = e2
% 18.19/4.87 |
% 18.19/4.87 | Equations (727) can reduce 112 to:
% 18.19/4.87 | (711) ~ (all_0_12_12 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Equations (727) can reduce 12 to:
% 18.19/4.87 | (497) ~ (all_0_14_14 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 497 yields:
% 18.19/4.87 | (498) ~ (all_0_14_14 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Equations (727) can reduce 84 to:
% 18.19/4.87 | (2533) ~ (all_0_15_15 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 2533 yields:
% 18.19/4.87 | (1585) ~ (all_0_15_15 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Equations (727) can reduce 5 to:
% 18.19/4.87 | (2535) ~ (all_0_17_17 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 2535 yields:
% 18.19/4.87 | (1004) ~ (all_0_17_17 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Equations (727) can reduce 216 to:
% 18.19/4.87 | (499) ~ (e3 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Simplifying 499 yields:
% 18.19/4.87 | (69) ~ (e3 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Equations (727) can reduce 511 to:
% 18.19/4.87 | (137) ~ (e2 = e0)
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (152), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (229), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (230), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (231), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (232), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (233), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (234), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (235), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (236), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (237), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.19/4.87 |
% 18.19/4.87 +-Applying beta-rule and splitting (238), into two cases.
% 18.19/4.87 |-Branch one:
% 18.19/4.87 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.19/4.87 |
% 18.19/4.87 | Applying alpha-rule on (239) yields:
% 18.19/4.87 | (240) all_0_9_9 = e3
% 18.19/4.87 | (241) all_0_12_12 = e3
% 18.19/4.88 | (242) ~ (all_0_13_13 = e2)
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (672,240) yields a new equation:
% 18.19/4.88 | (365) e3 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (365) can reduce 107 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.19/4.88 |
% 18.19/4.88 | Applying alpha-rule on (244) yields:
% 18.19/4.88 | (245) all_0_9_9 = e2
% 18.19/4.88 | (246) all_0_12_12 = e2
% 18.19/4.88 | (247) ~ (all_0_8_8 = e3)
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (672,245) yields a new equation:
% 18.19/4.88 | (490) e2 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (490) can reduce 137 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.19/4.88 |
% 18.19/4.88 | Applying alpha-rule on (249) yields:
% 18.19/4.88 | (250) all_0_10_10 = e3
% 18.19/4.88 | (251) all_0_16_16 = e3
% 18.19/4.88 | (252) ~ (all_0_18_18 = e1)
% 18.19/4.88 |
% 18.19/4.88 | Equations (251) can reduce 71 to:
% 18.19/4.88 | (206) ~ (all_0_12_12 = e3)
% 18.19/4.88 |
% 18.19/4.88 | Equations (251) can reduce 108 to:
% 18.19/4.88 | (2567) ~ (all_0_18_18 = e3)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 2567 yields:
% 18.19/4.88 | (214) ~ (all_0_18_18 = e3)
% 18.19/4.88 |
% 18.19/4.88 | Equations (251) can reduce 32 to:
% 18.19/4.88 | (1125) ~ (all_0_19_19 = e3)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 1125 yields:
% 18.19/4.88 | (469) ~ (all_0_19_19 = e3)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (89), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (241) all_0_12_12 = e3
% 18.19/4.88 |
% 18.19/4.88 | Equations (241) can reduce 206 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (206) ~ (all_0_12_12 = e3)
% 18.19/4.88 | (2185) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (2185), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (246) all_0_12_12 = e2
% 18.19/4.88 |
% 18.19/4.88 | Equations (246) can reduce 711 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (711) ~ (all_0_12_12 = e2)
% 18.19/4.88 | (2189) all_0_12_12 = e1 | all_0_12_12 = e0
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (2189), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (657) all_0_12_12 = e1
% 18.19/4.88 |
% 18.19/4.88 | Equations (657) can reduce 660 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (660) ~ (all_0_12_12 = e1)
% 18.19/4.88 | (501) all_0_12_12 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (501) can reduce 127 to:
% 18.19/4.88 | (639) ~ (all_0_14_14 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 639 yields:
% 18.19/4.88 | (594) ~ (all_0_14_14 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Equations (501) can reduce 206 to:
% 18.19/4.88 | (189) ~ (e3 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 189 yields:
% 18.19/4.88 | (107) ~ (e3 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Equations (501) can reduce 711 to:
% 18.19/4.88 | (191) ~ (e2 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 191 yields:
% 18.19/4.88 | (137) ~ (e2 = e0)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (133), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (240) all_0_9_9 = e3
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (672,240) yields a new equation:
% 18.19/4.88 | (365) e3 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (365) can reduce 107 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (200) ~ (all_0_9_9 = e3)
% 18.19/4.88 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 18.19/4.88 |
% 18.19/4.88 | Equations (672) can reduce 200 to:
% 18.19/4.88 | (189) ~ (e3 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 189 yields:
% 18.19/4.88 | (107) ~ (e3 = e0)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (19), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (666) all_0_16_16 = e2
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (251,666) yields a new equation:
% 18.19/4.88 | (532) e3 = e2
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 532 yields:
% 18.19/4.88 | (533) e3 = e2
% 18.19/4.88 |
% 18.19/4.88 | Equations (533) can reduce 69 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (854) ~ (all_0_16_16 = e2)
% 18.19/4.88 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 18.19/4.88 |
% 18.19/4.88 | Equations (251) can reduce 854 to:
% 18.19/4.88 | (69) ~ (e3 = e2)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (157), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (327) all_0_19_19 = e3
% 18.19/4.88 |
% 18.19/4.88 | Equations (327) can reduce 469 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (469) ~ (all_0_19_19 = e3)
% 18.19/4.88 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (470), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (471) all_0_19_19 = e2
% 18.19/4.88 |
% 18.19/4.88 | Equations (471) can reduce 314 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (314) ~ (all_0_19_19 = e2)
% 18.19/4.88 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (474), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (290) all_0_19_19 = e1
% 18.19/4.88 |
% 18.19/4.88 | Equations (290) can reduce 469 to:
% 18.19/4.88 | (438) ~ (e3 = e1)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 438 yields:
% 18.19/4.88 | (147) ~ (e3 = e1)
% 18.19/4.88 |
% 18.19/4.88 | Equations (290) can reduce 314 to:
% 18.19/4.88 | (307) ~ (e2 = e1)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 307 yields:
% 18.19/4.88 | (49) ~ (e2 = e1)
% 18.19/4.88 |
% 18.19/4.88 | Equations (290) can reduce 185 to:
% 18.19/4.88 | (90) ~ (e1 = e0)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (144), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (241) all_0_12_12 = e3
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (501,241) yields a new equation:
% 18.19/4.88 | (365) e3 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (365) can reduce 107 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (206) ~ (all_0_12_12 = e3)
% 18.19/4.88 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 18.19/4.88 |
% 18.19/4.88 | Equations (501) can reduce 206 to:
% 18.19/4.88 | (189) ~ (e3 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 189 yields:
% 18.19/4.88 | (107) ~ (e3 = e0)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (96), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (657) all_0_12_12 = e1
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (501,657) yields a new equation:
% 18.19/4.88 | (372) e1 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (372) can reduce 90 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (660) ~ (all_0_12_12 = e1)
% 18.19/4.88 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (110), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (410) all_0_10_10 = e0
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (410,250) yields a new equation:
% 18.19/4.88 | (365) e3 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (365) can reduce 107 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (599) ~ (all_0_10_10 = e0)
% 18.19/4.88 | (1145) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (1145), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (513) all_0_14_14 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (513) can reduce 594 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (594) ~ (all_0_14_14 = e0)
% 18.19/4.88 | (1480) all_0_18_18 = e0 | all_0_22_22 = e0
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (1480), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (300) all_0_18_18 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (300) can reduce 101 to:
% 18.19/4.88 | (514) ~ (all_0_22_22 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 514 yields:
% 18.19/4.88 | (188) ~ (all_0_22_22 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Equations (300) can reduce 214 to:
% 18.19/4.88 | (189) ~ (e3 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 189 yields:
% 18.19/4.88 | (107) ~ (e3 = e0)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (106), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (260) all_0_11_11 = e3
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (260,635) yields a new equation:
% 18.19/4.88 | (532) e3 = e2
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 532 yields:
% 18.19/4.88 | (533) e3 = e2
% 18.19/4.88 |
% 18.19/4.88 | Equations (533) can reduce 69 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (204) ~ (all_0_11_11 = e3)
% 18.19/4.88 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (28), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (419) all_0_15_15 = e3
% 18.19/4.88 |
% 18.19/4.88 | Equations (419) can reduce 1585 to:
% 18.19/4.88 | (69) ~ (e3 = e2)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (48), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (403) all_0_10_10 = e2
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (403,250) yields a new equation:
% 18.19/4.88 | (533) e3 = e2
% 18.19/4.88 |
% 18.19/4.88 | Equations (533) can reduce 69 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (305) ~ (all_0_10_10 = e2)
% 18.19/4.88 | (706) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (706), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (270) all_0_14_14 = e2
% 18.19/4.88 |
% 18.19/4.88 | Equations (270) can reduce 498 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (498) ~ (all_0_14_14 = e2)
% 18.19/4.88 | (720) all_0_18_18 = e2 | all_0_22_22 = e2
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (720), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (222) all_0_18_18 = e2
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (222,300) yields a new equation:
% 18.19/4.88 | (489) e2 = e0
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 489 yields:
% 18.19/4.88 | (490) e2 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (490) can reduce 137 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (217) ~ (all_0_18_18 = e2)
% 18.19/4.88 | (725) all_0_22_22 = e2
% 18.19/4.88 |
% 18.19/4.88 | Equations (725) can reduce 188 to:
% 18.19/4.88 | (137) ~ (e2 = e0)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (661), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (679) all_0_13_13 = e1
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (727,679) yields a new equation:
% 18.19/4.88 | (716) e2 = e1
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 716 yields:
% 18.19/4.88 | (388) e2 = e1
% 18.19/4.88 |
% 18.19/4.88 | Equations (388) can reduce 49 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (167) ~ (all_0_13_13 = e1)
% 18.19/4.88 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 18.19/4.88 |
% 18.19/4.88 | Equations (727) can reduce 167 to:
% 18.19/4.88 | (49) ~ (e2 = e1)
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (1000), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (271) all_0_17_17 = e2
% 18.19/4.88 |
% 18.19/4.88 | Equations (271) can reduce 1004 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (1004) ~ (all_0_17_17 = e2)
% 18.19/4.88 | (1005) all_0_18_18 = e2 | all_0_19_19 = e2
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (1005), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (222) all_0_18_18 = e2
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (300,222) yields a new equation:
% 18.19/4.88 | (490) e2 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (490) can reduce 137 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (217) ~ (all_0_18_18 = e2)
% 18.19/4.88 | (471) all_0_19_19 = e2
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (290,471) yields a new equation:
% 18.19/4.88 | (388) e2 = e1
% 18.19/4.88 |
% 18.19/4.88 | Equations (388) can reduce 49 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (329) ~ (all_0_15_15 = e3)
% 18.19/4.88 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (628), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (419) all_0_15_15 = e3
% 18.19/4.88 |
% 18.19/4.88 | Equations (419) can reduce 329 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (329) ~ (all_0_15_15 = e3)
% 18.19/4.88 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 18.19/4.88 |
% 18.19/4.88 +-Applying beta-rule and splitting (965), into two cases.
% 18.19/4.88 |-Branch one:
% 18.19/4.88 | (327) all_0_19_19 = e3
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (327,290) yields a new equation:
% 18.19/4.88 | (441) e3 = e1
% 18.19/4.88 |
% 18.19/4.88 | Simplifying 441 yields:
% 18.19/4.88 | (414) e3 = e1
% 18.19/4.88 |
% 18.19/4.88 | Equations (414) can reduce 147 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (469) ~ (all_0_19_19 = e3)
% 18.19/4.88 | (171) all_0_23_23 = e3
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (182,171) yields a new equation:
% 18.19/4.88 | (365) e3 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (365) can reduce 107 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (215) ~ (all_0_18_18 = e0)
% 18.19/4.88 | (296) all_0_22_22 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (296) can reduce 188 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (310) ~ (all_0_19_19 = e1)
% 18.19/4.88 | (295) all_0_19_19 = e0
% 18.19/4.88 |
% 18.19/4.88 | Equations (295) can reduce 185 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.19/4.88 |
% 18.19/4.88 | Applying alpha-rule on (254) yields:
% 18.19/4.88 | (255) all_0_10_10 = e1
% 18.19/4.88 | (256) all_0_16_16 = e1
% 18.19/4.88 | (247) ~ (all_0_8_8 = e3)
% 18.19/4.88 |
% 18.19/4.88 | Combining equations (255,250) yields a new equation:
% 18.19/4.88 | (414) e3 = e1
% 18.19/4.88 |
% 18.19/4.88 | Equations (414) can reduce 147 to:
% 18.19/4.88 | (172) $false
% 18.19/4.88 |
% 18.19/4.88 |-The branch is then unsatisfiable
% 18.19/4.88 |-Branch two:
% 18.19/4.88 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.19/4.88 |
% 18.19/4.88 | Applying alpha-rule on (259) yields:
% 18.19/4.88 | (260) all_0_11_11 = e3
% 18.19/4.88 | (261) all_0_20_20 = e3
% 18.19/4.88 | (262) ~ (all_0_23_23 = e0)
% 18.19/4.88 |
% 18.19/4.89 | Combining equations (635,260) yields a new equation:
% 18.19/4.89 | (533) e3 = e2
% 18.19/4.89 |
% 18.19/4.89 | Equations (533) can reduce 69 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.19/4.89 |
% 18.19/4.89 | Applying alpha-rule on (264) yields:
% 18.19/4.89 | (265) all_0_11_11 = e0
% 18.19/4.89 | (266) all_0_20_20 = e0
% 18.19/4.89 | (247) ~ (all_0_8_8 = e3)
% 18.19/4.89 |
% 18.19/4.89 | Combining equations (635,265) yields a new equation:
% 18.19/4.89 | (489) e2 = e0
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 489 yields:
% 18.19/4.89 | (490) e2 = e0
% 18.19/4.89 |
% 18.19/4.89 | Equations (490) can reduce 137 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.19/4.89 |
% 18.19/4.89 | Applying alpha-rule on (269) yields:
% 18.19/4.89 | (270) all_0_14_14 = e2
% 18.19/4.89 | (271) all_0_17_17 = e2
% 18.19/4.89 | (252) ~ (all_0_18_18 = e1)
% 18.19/4.89 |
% 18.19/4.89 | Equations (271) can reduce 1004 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Applying alpha-rule on (274) yields:
% 18.19/4.89 | (275) all_0_14_14 = e1
% 18.19/4.89 | (276) all_0_17_17 = e1
% 18.19/4.89 | (242) ~ (all_0_13_13 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Equations (727) can reduce 242 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.19/4.89 |
% 18.19/4.89 | Applying alpha-rule on (279) yields:
% 18.19/4.89 | (280) all_0_15_15 = e2
% 18.19/4.89 | (281) all_0_21_21 = e2
% 18.19/4.89 | (262) ~ (all_0_23_23 = e0)
% 18.19/4.89 |
% 18.19/4.89 | Equations (182) can reduce 262 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Applying alpha-rule on (284) yields:
% 18.19/4.89 | (285) all_0_15_15 = e0
% 18.19/4.89 | (286) all_0_21_21 = e0
% 18.19/4.89 | (242) ~ (all_0_13_13 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Equations (286) can reduce 187 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.19/4.89 |
% 18.19/4.89 | Applying alpha-rule on (289) yields:
% 18.19/4.89 | (290) all_0_19_19 = e1
% 18.19/4.89 | (291) all_0_22_22 = e1
% 18.19/4.89 | (262) ~ (all_0_23_23 = e0)
% 18.19/4.89 |
% 18.19/4.89 | Equations (182) can reduce 262 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.19/4.89 |
% 18.19/4.89 | Applying alpha-rule on (294) yields:
% 18.19/4.89 | (295) all_0_19_19 = e0
% 18.19/4.89 | (296) all_0_22_22 = e0
% 18.19/4.89 | (252) ~ (all_0_18_18 = e1)
% 18.19/4.89 |
% 18.19/4.89 | Equations (296) can reduce 188 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (242) ~ (all_0_13_13 = e2)
% 18.19/4.89 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (2338), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (679) all_0_13_13 = e1
% 18.19/4.89 |
% 18.19/4.89 | Equations (679) can reduce 167 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (167) ~ (all_0_13_13 = e1)
% 18.19/4.89 | (507) all_0_13_13 = e0
% 18.19/4.89 |
% 18.19/4.89 | Equations (507) can reduce 511 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (336) all_0_13_13 = e3
% 18.19/4.89 | (246) all_0_12_12 = e2
% 18.19/4.89 |
% 18.19/4.89 | Equations (246,336) can reduce 112 to:
% 18.19/4.89 | (499) ~ (e3 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 499 yields:
% 18.19/4.89 | (69) ~ (e3 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Equations (246) can reduce 127 to:
% 18.19/4.89 | (497) ~ (all_0_14_14 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 497 yields:
% 18.19/4.89 | (498) ~ (all_0_14_14 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Equations (246) can reduce 162 to:
% 18.19/4.89 | (2533) ~ (all_0_15_15 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 2533 yields:
% 18.19/4.89 | (1585) ~ (all_0_15_15 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Equations (246) can reduce 71 to:
% 18.19/4.89 | (1606) ~ (all_0_16_16 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 1606 yields:
% 18.19/4.89 | (854) ~ (all_0_16_16 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Equations (336) can reduce 84 to:
% 18.19/4.89 | (1123) ~ (all_0_15_15 = e3)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 1123 yields:
% 18.19/4.89 | (329) ~ (all_0_15_15 = e3)
% 18.19/4.89 |
% 18.19/4.89 | Equations (336) can reduce 142 to:
% 18.19/4.89 | (1617) ~ (all_0_21_21 = e3)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 1617 yields:
% 18.19/4.89 | (1618) ~ (all_0_21_21 = e3)
% 18.19/4.89 |
% 18.19/4.89 | Equations (336) can reduce 511 to:
% 18.19/4.89 | (107) ~ (e3 = e0)
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (106), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (260) all_0_11_11 = e3
% 18.19/4.89 |
% 18.19/4.89 | Combining equations (635,260) yields a new equation:
% 18.19/4.89 | (533) e3 = e2
% 18.19/4.89 |
% 18.19/4.89 | Equations (533) can reduce 69 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (204) ~ (all_0_11_11 = e3)
% 18.19/4.89 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (92), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (501) all_0_12_12 = e0
% 18.19/4.89 |
% 18.19/4.89 | Combining equations (246,501) yields a new equation:
% 18.19/4.89 | (489) e2 = e0
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 489 yields:
% 18.19/4.89 | (490) e2 = e0
% 18.19/4.89 |
% 18.19/4.89 | Equations (490) can reduce 137 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (505) ~ (all_0_12_12 = e0)
% 18.19/4.89 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 18.19/4.89 |
% 18.19/4.89 | Equations (246) can reduce 505 to:
% 18.19/4.89 | (137) ~ (e2 = e0)
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (22), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (261) all_0_20_20 = e3
% 18.19/4.89 |
% 18.19/4.89 | Equations (261) can reduce 186 to:
% 18.19/4.89 | (107) ~ (e3 = e0)
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (58), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (613) all_0_8_8 = e0
% 18.19/4.89 |
% 18.19/4.89 | Combining equations (613,423) yields a new equation:
% 18.19/4.89 | (372) e1 = e0
% 18.19/4.89 |
% 18.19/4.89 | Equations (372) can reduce 90 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (197) ~ (all_0_8_8 = e0)
% 18.19/4.89 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (623), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (501) all_0_12_12 = e0
% 18.19/4.89 |
% 18.19/4.89 | Combining equations (246,501) yields a new equation:
% 18.19/4.89 | (489) e2 = e0
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 489 yields:
% 18.19/4.89 | (490) e2 = e0
% 18.19/4.89 |
% 18.19/4.89 | Equations (490) can reduce 137 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (505) ~ (all_0_12_12 = e0)
% 18.19/4.89 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (628), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (419) all_0_15_15 = e3
% 18.19/4.89 |
% 18.19/4.89 | Equations (419) can reduce 329 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (329) ~ (all_0_15_15 = e3)
% 18.19/4.89 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (28), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (419) all_0_15_15 = e3
% 18.19/4.89 |
% 18.19/4.89 | Equations (419) can reduce 329 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (329) ~ (all_0_15_15 = e3)
% 18.19/4.89 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (965), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (327) all_0_19_19 = e3
% 18.19/4.89 |
% 18.19/4.89 | Equations (327) can reduce 149 to:
% 18.19/4.89 | (329) ~ (all_0_15_15 = e3)
% 18.19/4.89 |
% 18.19/4.89 | Equations (327) can reduce 32 to:
% 18.19/4.89 | (208) ~ (all_0_16_16 = e3)
% 18.19/4.89 |
% 18.19/4.89 | Equations (327) can reduce 314 to:
% 18.19/4.89 | (69) ~ (e3 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Equations (327) can reduce 185 to:
% 18.19/4.89 | (107) ~ (e3 = e0)
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (422), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (280) all_0_15_15 = e2
% 18.19/4.89 |
% 18.19/4.89 | Equations (280) can reduce 1585 to:
% 18.19/4.89 | (172) $false
% 18.19/4.89 |
% 18.19/4.89 |-The branch is then unsatisfiable
% 18.19/4.89 |-Branch two:
% 18.19/4.89 | (1585) ~ (all_0_15_15 = e2)
% 18.19/4.89 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (1586), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (836) all_0_15_15 = e1
% 18.19/4.89 |
% 18.19/4.89 | Equations (836) can reduce 50 to:
% 18.19/4.89 | (835) ~ (all_0_14_14 = e1)
% 18.19/4.89 |
% 18.19/4.89 | Equations (836) can reduce 329 to:
% 18.19/4.89 | (438) ~ (e3 = e1)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 438 yields:
% 18.19/4.89 | (147) ~ (e3 = e1)
% 18.19/4.89 |
% 18.19/4.89 | Equations (836) can reduce 1585 to:
% 18.19/4.89 | (307) ~ (e2 = e1)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 307 yields:
% 18.19/4.89 | (49) ~ (e2 = e1)
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (2089), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (320) all_0_16_16 = e0
% 18.19/4.89 |
% 18.19/4.89 | Equations (320) can reduce 208 to:
% 18.19/4.89 | (189) ~ (e3 = e0)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 189 yields:
% 18.19/4.89 | (107) ~ (e3 = e0)
% 18.19/4.89 |
% 18.19/4.89 | Equations (320) can reduce 854 to:
% 18.19/4.89 | (191) ~ (e2 = e0)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 191 yields:
% 18.19/4.89 | (137) ~ (e2 = e0)
% 18.19/4.89 |
% 18.19/4.89 | Equations (320) can reduce 227 to:
% 18.19/4.89 | (193) ~ (e1 = e0)
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 193 yields:
% 18.19/4.89 | (90) ~ (e1 = e0)
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (152), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (229), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (230), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (231), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (232), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (233), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (234), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (235), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (236), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (237), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.19/4.89 |
% 18.19/4.89 +-Applying beta-rule and splitting (238), into two cases.
% 18.19/4.89 |-Branch one:
% 18.19/4.89 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Applying alpha-rule on (239) yields:
% 18.19/4.89 | (240) all_0_9_9 = e3
% 18.19/4.89 | (241) all_0_12_12 = e3
% 18.19/4.89 | (242) ~ (all_0_13_13 = e2)
% 18.19/4.89 |
% 18.19/4.89 | Combining equations (240,672) yields a new equation:
% 18.19/4.89 | (364) e3 = e0
% 18.19/4.89 |
% 18.19/4.89 | Simplifying 364 yields:
% 18.19/4.89 | (365) e3 = e0
% 18.19/4.89 |
% 18.19/4.90 | Combining equations (241,246) yields a new equation:
% 18.19/4.90 | (532) e3 = e2
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 532 yields:
% 18.19/4.90 | (533) e3 = e2
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (365,533) yields a new equation:
% 18.19/4.90 | (490) e2 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (490) can reduce 137 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (244) yields:
% 18.19/4.90 | (245) all_0_9_9 = e2
% 18.19/4.90 | (246) all_0_12_12 = e2
% 18.19/4.90 | (247) ~ (all_0_8_8 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (245,672) yields a new equation:
% 18.19/4.90 | (489) e2 = e0
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 489 yields:
% 18.19/4.90 | (490) e2 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (490) can reduce 137 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (249) yields:
% 18.19/4.90 | (250) all_0_10_10 = e3
% 18.19/4.90 | (251) all_0_16_16 = e3
% 18.19/4.90 | (252) ~ (all_0_18_18 = e1)
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (320,251) yields a new equation:
% 18.19/4.90 | (365) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (365) can reduce 107 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (254) yields:
% 18.19/4.90 | (255) all_0_10_10 = e1
% 18.19/4.90 | (256) all_0_16_16 = e1
% 18.19/4.90 | (247) ~ (all_0_8_8 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (320,256) yields a new equation:
% 18.19/4.90 | (372) e1 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (372) can reduce 90 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (259) yields:
% 18.19/4.90 | (260) all_0_11_11 = e3
% 18.19/4.90 | (261) all_0_20_20 = e3
% 18.19/4.90 | (262) ~ (all_0_23_23 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (260,635) yields a new equation:
% 18.19/4.90 | (532) e3 = e2
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 532 yields:
% 18.19/4.90 | (533) e3 = e2
% 18.19/4.90 |
% 18.19/4.90 | Equations (533) can reduce 69 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (264) yields:
% 18.19/4.90 | (265) all_0_11_11 = e0
% 18.19/4.90 | (266) all_0_20_20 = e0
% 18.19/4.90 | (247) ~ (all_0_8_8 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (265,635) yields a new equation:
% 18.19/4.90 | (490) e2 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (490) can reduce 137 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (269) yields:
% 18.19/4.90 | (270) all_0_14_14 = e2
% 18.19/4.90 | (271) all_0_17_17 = e2
% 18.19/4.90 | (252) ~ (all_0_18_18 = e1)
% 18.19/4.90 |
% 18.19/4.90 | Equations (270) can reduce 498 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (274) yields:
% 18.19/4.90 | (275) all_0_14_14 = e1
% 18.19/4.90 | (276) all_0_17_17 = e1
% 18.19/4.90 | (242) ~ (all_0_13_13 = e2)
% 18.19/4.90 |
% 18.19/4.90 | Equations (275) can reduce 835 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (279) yields:
% 18.19/4.90 | (280) all_0_15_15 = e2
% 18.19/4.90 | (281) all_0_21_21 = e2
% 18.19/4.90 | (262) ~ (all_0_23_23 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (280,836) yields a new equation:
% 18.19/4.90 | (716) e2 = e1
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 716 yields:
% 18.19/4.90 | (388) e2 = e1
% 18.19/4.90 |
% 18.19/4.90 | Equations (388) can reduce 49 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (284) yields:
% 18.19/4.90 | (285) all_0_15_15 = e0
% 18.19/4.90 | (286) all_0_21_21 = e0
% 18.19/4.90 | (242) ~ (all_0_13_13 = e2)
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (285,836) yields a new equation:
% 18.19/4.90 | (372) e1 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (372) can reduce 90 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (289) yields:
% 18.19/4.90 | (290) all_0_19_19 = e1
% 18.19/4.90 | (291) all_0_22_22 = e1
% 18.19/4.90 | (262) ~ (all_0_23_23 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (290,327) yields a new equation:
% 18.19/4.90 | (414) e3 = e1
% 18.19/4.90 |
% 18.19/4.90 | Equations (414) can reduce 147 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.19/4.90 |
% 18.19/4.90 | Applying alpha-rule on (294) yields:
% 18.19/4.90 | (295) all_0_19_19 = e0
% 18.19/4.90 | (296) all_0_22_22 = e0
% 18.19/4.90 | (252) ~ (all_0_18_18 = e1)
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (295,327) yields a new equation:
% 18.19/4.90 | (365) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (365) can reduce 107 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (480) ~ (all_0_16_16 = e0)
% 18.19/4.90 | (266) all_0_20_20 = e0
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (266,261) yields a new equation:
% 18.19/4.90 | (365) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (365) can reduce 107 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (602) ~ (all_0_15_15 = e1)
% 18.19/4.90 | (285) all_0_15_15 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (285) can reduce 184 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (469) ~ (all_0_19_19 = e3)
% 18.19/4.90 | (171) all_0_23_23 = e3
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (171,182) yields a new equation:
% 18.19/4.90 | (364) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 364 yields:
% 18.19/4.90 | (365) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (365) can reduce 107 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (210) ~ (all_0_20_20 = e3)
% 18.19/4.90 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 18.19/4.90 |
% 18.19/4.90 +-Applying beta-rule and splitting (28), into two cases.
% 18.19/4.90 |-Branch one:
% 18.19/4.90 | (419) all_0_15_15 = e3
% 18.19/4.90 |
% 18.19/4.90 | Equations (419) can reduce 329 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (329) ~ (all_0_15_15 = e3)
% 18.19/4.90 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 18.19/4.90 |
% 18.19/4.90 +-Applying beta-rule and splitting (506), into two cases.
% 18.19/4.90 |-Branch one:
% 18.19/4.90 | (507) all_0_13_13 = e0
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (336,507) yields a new equation:
% 18.19/4.90 | (364) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 364 yields:
% 18.19/4.90 | (365) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (365) can reduce 107 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (511) ~ (all_0_13_13 = e0)
% 18.19/4.90 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (336) can reduce 511 to:
% 18.19/4.90 | (107) ~ (e3 = e0)
% 18.19/4.90 |
% 18.19/4.90 +-Applying beta-rule and splitting (628), into two cases.
% 18.19/4.90 |-Branch one:
% 18.19/4.90 | (419) all_0_15_15 = e3
% 18.19/4.90 |
% 18.19/4.90 | Equations (419) can reduce 329 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (329) ~ (all_0_15_15 = e3)
% 18.19/4.90 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 18.19/4.90 |
% 18.19/4.90 +-Applying beta-rule and splitting (965), into two cases.
% 18.19/4.90 |-Branch one:
% 18.19/4.90 | (327) all_0_19_19 = e3
% 18.19/4.90 |
% 18.19/4.90 | Equations (327) can reduce 185 to:
% 18.19/4.90 | (107) ~ (e3 = e0)
% 18.19/4.90 |
% 18.19/4.90 +-Applying beta-rule and splitting (656), into two cases.
% 18.19/4.90 |-Branch one:
% 18.19/4.90 | (417) all_0_21_21 = e3
% 18.19/4.90 |
% 18.19/4.90 | Equations (417) can reduce 1618 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (1618) ~ (all_0_21_21 = e3)
% 18.19/4.90 | (1791) all_0_22_22 = e3 | all_0_23_23 = e3
% 18.19/4.90 |
% 18.19/4.90 +-Applying beta-rule and splitting (1791), into two cases.
% 18.19/4.90 |-Branch one:
% 18.19/4.90 | (902) all_0_22_22 = e3
% 18.19/4.90 |
% 18.19/4.90 | Equations (902) can reduce 881 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (881) ~ (all_0_22_22 = e3)
% 18.19/4.90 | (171) all_0_23_23 = e3
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (171,182) yields a new equation:
% 18.19/4.90 | (364) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 364 yields:
% 18.19/4.90 | (365) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (365) can reduce 107 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (469) ~ (all_0_19_19 = e3)
% 18.19/4.90 | (171) all_0_23_23 = e3
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (171,182) yields a new equation:
% 18.19/4.90 | (364) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 364 yields:
% 18.19/4.90 | (365) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (365) can reduce 107 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (953) ~ (all_0_11_11 = e2)
% 18.19/4.90 | (954) all_0_11_11 = e1 | all_0_11_11 = e0
% 18.19/4.90 |
% 18.19/4.90 +-Applying beta-rule and splitting (954), into two cases.
% 18.19/4.90 |-Branch one:
% 18.19/4.90 | (437) all_0_11_11 = e1
% 18.19/4.90 |
% 18.19/4.90 | Equations (437) can reduce 600 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (600) ~ (all_0_11_11 = e1)
% 18.19/4.90 | (265) all_0_11_11 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (265) can reduce 183 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (842) ~ (all_0_9_9 = e0)
% 18.19/4.90 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 18.19/4.90 |
% 18.19/4.90 +-Applying beta-rule and splitting (847), into two cases.
% 18.19/4.90 |-Branch one:
% 18.19/4.90 | (410) all_0_10_10 = e0
% 18.19/4.90 |
% 18.19/4.90 | Combining equations (250,410) yields a new equation:
% 18.19/4.90 | (364) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 364 yields:
% 18.19/4.90 | (365) e3 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (365) can reduce 107 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (599) ~ (all_0_10_10 = e0)
% 18.19/4.90 | (265) all_0_11_11 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (265) can reduce 183 to:
% 18.19/4.90 | (172) $false
% 18.19/4.90 |
% 18.19/4.90 |-The branch is then unsatisfiable
% 18.19/4.90 |-Branch two:
% 18.19/4.90 | (171) all_0_23_23 = e3
% 18.19/4.90 | (266) all_0_20_20 = e0
% 18.19/4.90 |
% 18.19/4.90 | Equations (266) can reduce 166 to:
% 18.19/4.90 | (197) ~ (all_0_8_8 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Equations (266) can reduce 41 to:
% 18.19/4.90 | (505) ~ (all_0_12_12 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Equations (171) can reduce 46 to:
% 18.19/4.90 | (329) ~ (all_0_15_15 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Equations (266) can reduce 151 to:
% 18.19/4.90 | (480) ~ (all_0_16_16 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Equations (171) can reduce 7 to:
% 18.19/4.90 | (469) ~ (all_0_19_19 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Equations (266) can reduce 75 to:
% 18.19/4.90 | (991) ~ (all_0_21_21 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 991 yields:
% 18.19/4.90 | (187) ~ (all_0_21_21 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Equations (266) can reduce 87 to:
% 18.19/4.90 | (514) ~ (all_0_22_22 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 514 yields:
% 18.19/4.90 | (188) ~ (all_0_22_22 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Equations (266,171) can reduce 165 to:
% 18.19/4.90 | (189) ~ (e3 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Simplifying 189 yields:
% 18.19/4.90 | (107) ~ (e3 = e0)
% 18.19/4.90 |
% 18.19/4.90 | Equations (171) can reduce 158 to:
% 18.19/4.90 | (1618) ~ (all_0_21_21 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Equations (171) can reduce 55 to:
% 18.19/4.90 | (881) ~ (all_0_22_22 = e3)
% 18.19/4.90 |
% 18.19/4.90 | Equations (171) can reduce 169 to:
% 18.19/4.90 | (69) ~ (e3 = e2)
% 18.19/4.90 |
% 18.19/4.90 | From (171)(171) and (78) follows:
% 18.19/4.90 | (2997) op(e3, e3) = all_0_1_1
% 18.19/4.90 |
% 18.19/4.90 | From (171) and (2) follows:
% 18.19/4.90 | (2998) op(e0, e0) = e3
% 18.19/4.90 |
% 18.19/4.90 | Instantiating formula (143) with e3, e3, all_0_1_1, all_0_8_8 and discharging atoms op(e3, e3) = all_0_1_1, op(e3, e3) = all_0_8_8, yields:
% 18.19/4.90 | (2999) all_0_1_1 = all_0_8_8
% 18.19/4.90 |
% 18.19/4.90 | From (2999) and (29) follows:
% 18.19/4.91 | (3000) op(all_0_8_8, e0) = all_0_0_0
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (140), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (196) ~ (all_0_8_8 = e2)
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (95), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (195) ~ (all_0_8_8 = e1)
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (94), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (198) all_0_8_8 = e3
% 18.19/4.91 |
% 18.19/4.91 | Equations (198) can reduce 113 to:
% 18.19/4.91 | (199) ~ (all_0_9_9 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Simplifying 199 yields:
% 18.19/4.91 | (200) ~ (all_0_9_9 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Equations (198) can reduce 59 to:
% 18.19/4.91 | (201) ~ (all_0_10_10 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Simplifying 201 yields:
% 18.19/4.91 | (202) ~ (all_0_10_10 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Equations (198) can reduce 39 to:
% 18.19/4.91 | (203) ~ (all_0_11_11 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Simplifying 203 yields:
% 18.19/4.91 | (204) ~ (all_0_11_11 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Equations (198) can reduce 35 to:
% 18.19/4.91 | (205) ~ (all_0_12_12 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Simplifying 205 yields:
% 18.19/4.91 | (206) ~ (all_0_12_12 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Equations (198) can reduce 104 to:
% 18.19/4.91 | (207) ~ (all_0_16_16 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Simplifying 207 yields:
% 18.19/4.91 | (208) ~ (all_0_16_16 = e3)
% 18.19/4.91 |
% 18.19/4.91 | Equations (198) can reduce 196 to:
% 18.19/4.91 | (69) ~ (e3 = e2)
% 18.19/4.91 |
% 18.19/4.91 | Equations (198) can reduce 195 to:
% 18.19/4.91 | (147) ~ (e3 = e1)
% 18.19/4.91 |
% 18.19/4.91 | Equations (198) can reduce 197 to:
% 18.19/4.91 | (107) ~ (e3 = e0)
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (40), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (217) ~ (all_0_18_18 = e2)
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (77), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (215) ~ (all_0_18_18 = e0)
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (30), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (511) ~ (all_0_13_13 = e0)
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (153), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (216) ~ (all_0_13_13 = e3)
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (144), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (241) all_0_12_12 = e3
% 18.19/4.91 |
% 18.19/4.91 | Equations (241) can reduce 206 to:
% 18.19/4.91 | (172) $false
% 18.19/4.91 |
% 18.19/4.91 |-The branch is then unsatisfiable
% 18.19/4.91 |-Branch two:
% 18.19/4.91 | (206) ~ (all_0_12_12 = e3)
% 18.19/4.91 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (335), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (336) all_0_13_13 = e3
% 18.19/4.91 |
% 18.19/4.91 | Equations (336) can reduce 216 to:
% 18.19/4.91 | (172) $false
% 18.19/4.91 |
% 18.19/4.91 |-The branch is then unsatisfiable
% 18.19/4.91 |-Branch two:
% 18.19/4.91 | (216) ~ (all_0_13_13 = e3)
% 18.19/4.91 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 18.19/4.91 |
% 18.19/4.91 +-Applying beta-rule and splitting (339), into two cases.
% 18.19/4.91 |-Branch one:
% 18.19/4.91 | (440) all_0_14_14 = e3
% 18.19/4.91 |
% 18.19/4.91 | Equations (440) can reduce 12 to:
% 18.19/4.91 | (216) ~ (all_0_13_13 = e3)
% 18.19/4.91 |
% 18.36/4.91 | Equations (440) can reduce 21 to:
% 18.36/4.91 | (2567) ~ (all_0_18_18 = e3)
% 18.36/4.91 |
% 18.36/4.91 | Simplifying 2567 yields:
% 18.36/4.91 | (214) ~ (all_0_18_18 = e3)
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (25), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (336) all_0_13_13 = e3
% 18.36/4.91 |
% 18.36/4.91 | Equations (336) can reduce 216 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (216) ~ (all_0_13_13 = e3)
% 18.36/4.91 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (1157), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (727) all_0_13_13 = e2
% 18.36/4.91 |
% 18.36/4.91 | Equations (727) can reduce 112 to:
% 18.36/4.91 | (711) ~ (all_0_12_12 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Equations (727) can reduce 142 to:
% 18.36/4.91 | (3039) ~ (all_0_21_21 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Simplifying 3039 yields:
% 18.36/4.91 | (1811) ~ (all_0_21_21 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Equations (727) can reduce 216 to:
% 18.36/4.91 | (499) ~ (e3 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Simplifying 499 yields:
% 18.36/4.91 | (69) ~ (e3 = e2)
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (163), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (218) all_0_18_18 = e3
% 18.36/4.91 |
% 18.36/4.91 | Equations (218) can reduce 214 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (214) ~ (all_0_18_18 = e3)
% 18.36/4.91 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (152), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (229), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (230), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (231), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (232), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (233), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (234), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (235), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (236), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (237), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (238), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (239) yields:
% 18.36/4.91 | (240) all_0_9_9 = e3
% 18.36/4.91 | (241) all_0_12_12 = e3
% 18.36/4.91 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Equations (727) can reduce 242 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (244) yields:
% 18.36/4.91 | (245) all_0_9_9 = e2
% 18.36/4.91 | (246) all_0_12_12 = e2
% 18.36/4.91 | (247) ~ (all_0_8_8 = e3)
% 18.36/4.91 |
% 18.36/4.91 | Equations (246) can reduce 711 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (249) yields:
% 18.36/4.91 | (250) all_0_10_10 = e3
% 18.36/4.91 | (251) all_0_16_16 = e3
% 18.36/4.91 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.91 |
% 18.36/4.91 | Equations (251) can reduce 208 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (254) yields:
% 18.36/4.91 | (255) all_0_10_10 = e1
% 18.36/4.91 | (256) all_0_16_16 = e1
% 18.36/4.91 | (247) ~ (all_0_8_8 = e3)
% 18.36/4.91 |
% 18.36/4.91 | Equations (198) can reduce 247 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (259) yields:
% 18.36/4.91 | (260) all_0_11_11 = e3
% 18.36/4.91 | (261) all_0_20_20 = e3
% 18.36/4.91 | (262) ~ (all_0_23_23 = e0)
% 18.36/4.91 |
% 18.36/4.91 | Combining equations (261,266) yields a new equation:
% 18.36/4.91 | (364) e3 = e0
% 18.36/4.91 |
% 18.36/4.91 | Simplifying 364 yields:
% 18.36/4.91 | (365) e3 = e0
% 18.36/4.91 |
% 18.36/4.91 | Equations (365) can reduce 107 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (264) yields:
% 18.36/4.91 | (265) all_0_11_11 = e0
% 18.36/4.91 | (266) all_0_20_20 = e0
% 18.36/4.91 | (247) ~ (all_0_8_8 = e3)
% 18.36/4.91 |
% 18.36/4.91 | Equations (198) can reduce 247 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (269) yields:
% 18.36/4.91 | (270) all_0_14_14 = e2
% 18.36/4.91 | (271) all_0_17_17 = e2
% 18.36/4.91 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.91 |
% 18.36/4.91 | Combining equations (440,270) yields a new equation:
% 18.36/4.91 | (532) e3 = e2
% 18.36/4.91 |
% 18.36/4.91 | Simplifying 532 yields:
% 18.36/4.91 | (533) e3 = e2
% 18.36/4.91 |
% 18.36/4.91 | Equations (533) can reduce 69 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (274) yields:
% 18.36/4.91 | (275) all_0_14_14 = e1
% 18.36/4.91 | (276) all_0_17_17 = e1
% 18.36/4.91 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Combining equations (440,275) yields a new equation:
% 18.36/4.91 | (441) e3 = e1
% 18.36/4.91 |
% 18.36/4.91 | Simplifying 441 yields:
% 18.36/4.91 | (414) e3 = e1
% 18.36/4.91 |
% 18.36/4.91 | Equations (414) can reduce 147 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (279) yields:
% 18.36/4.91 | (280) all_0_15_15 = e2
% 18.36/4.91 | (281) all_0_21_21 = e2
% 18.36/4.91 | (262) ~ (all_0_23_23 = e0)
% 18.36/4.91 |
% 18.36/4.91 | Equations (281) can reduce 1811 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (284) yields:
% 18.36/4.91 | (285) all_0_15_15 = e0
% 18.36/4.91 | (286) all_0_21_21 = e0
% 18.36/4.91 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Equations (286) can reduce 187 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (289) yields:
% 18.36/4.91 | (290) all_0_19_19 = e1
% 18.36/4.91 | (291) all_0_22_22 = e1
% 18.36/4.91 | (262) ~ (all_0_23_23 = e0)
% 18.36/4.91 |
% 18.36/4.91 | Equations (291) can reduce 101 to:
% 18.36/4.91 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (221), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (222) all_0_18_18 = e2
% 18.36/4.91 |
% 18.36/4.91 | Equations (222) can reduce 217 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (217) ~ (all_0_18_18 = e2)
% 18.36/4.91 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (225), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (226) all_0_18_18 = e1
% 18.36/4.91 |
% 18.36/4.91 | Equations (226) can reduce 252 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.91 | (300) all_0_18_18 = e0
% 18.36/4.91 |
% 18.36/4.91 | Equations (300) can reduce 215 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.36/4.91 |
% 18.36/4.91 | Applying alpha-rule on (294) yields:
% 18.36/4.91 | (295) all_0_19_19 = e0
% 18.36/4.91 | (296) all_0_22_22 = e0
% 18.36/4.91 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.91 |
% 18.36/4.91 | Equations (296) can reduce 188 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.91 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 18.36/4.91 |
% 18.36/4.91 +-Applying beta-rule and splitting (2338), into two cases.
% 18.36/4.91 |-Branch one:
% 18.36/4.91 | (679) all_0_13_13 = e1
% 18.36/4.91 |
% 18.36/4.91 | Equations (679) can reduce 167 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (167) ~ (all_0_13_13 = e1)
% 18.36/4.91 | (507) all_0_13_13 = e0
% 18.36/4.91 |
% 18.36/4.91 | Equations (507) can reduce 511 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (444) ~ (all_0_14_14 = e3)
% 18.36/4.91 | (419) all_0_15_15 = e3
% 18.36/4.91 |
% 18.36/4.91 | Equations (419) can reduce 329 to:
% 18.36/4.91 | (172) $false
% 18.36/4.91 |
% 18.36/4.91 |-The branch is then unsatisfiable
% 18.36/4.91 |-Branch two:
% 18.36/4.91 | (336) all_0_13_13 = e3
% 18.36/4.91 | (246) all_0_12_12 = e2
% 18.36/4.91 |
% 18.36/4.91 | Equations (246) can reduce 127 to:
% 18.36/4.91 | (497) ~ (all_0_14_14 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Simplifying 497 yields:
% 18.36/4.91 | (498) ~ (all_0_14_14 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Equations (246) can reduce 162 to:
% 18.36/4.91 | (2533) ~ (all_0_15_15 = e2)
% 18.36/4.91 |
% 18.36/4.91 | Simplifying 2533 yields:
% 18.36/4.91 | (1585) ~ (all_0_15_15 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Equations (336) can reduce 12 to:
% 18.36/4.92 | (3148) ~ (all_0_14_14 = e3)
% 18.36/4.92 |
% 18.36/4.92 | Simplifying 3148 yields:
% 18.36/4.92 | (444) ~ (all_0_14_14 = e3)
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (23), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (250) all_0_10_10 = e3
% 18.36/4.92 |
% 18.36/4.92 | Equations (250) can reduce 202 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (202) ~ (all_0_10_10 = e3)
% 18.36/4.92 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (890), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (440) all_0_14_14 = e3
% 18.36/4.92 |
% 18.36/4.92 | Equations (440) can reduce 444 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (444) ~ (all_0_14_14 = e3)
% 18.36/4.92 | (915) all_0_18_18 = e3 | all_0_22_22 = e3
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (915), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (218) all_0_18_18 = e3
% 18.36/4.92 |
% 18.36/4.92 | Equations (218) can reduce 108 to:
% 18.36/4.92 | (208) ~ (all_0_16_16 = e3)
% 18.36/4.92 |
% 18.36/4.92 | Equations (218) can reduce 217 to:
% 18.36/4.92 | (69) ~ (e3 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Equations (218) can reduce 215 to:
% 18.36/4.92 | (107) ~ (e3 = e0)
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (126), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (214) ~ (all_0_18_18 = e3)
% 18.36/4.92 |
% 18.36/4.92 | Equations (218) can reduce 214 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (218) all_0_18_18 = e3
% 18.36/4.92 | (256) all_0_16_16 = e1
% 18.36/4.92 |
% 18.36/4.92 | Equations (256) can reduce 148 to:
% 18.36/4.92 | (976) ~ (all_0_17_17 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Simplifying 976 yields:
% 18.36/4.92 | (228) ~ (all_0_17_17 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Equations (256) can reduce 32 to:
% 18.36/4.92 | (309) ~ (all_0_19_19 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Simplifying 309 yields:
% 18.36/4.92 | (310) ~ (all_0_19_19 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Equations (256) can reduce 208 to:
% 18.36/4.92 | (438) ~ (e3 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Simplifying 438 yields:
% 18.36/4.92 | (147) ~ (e3 = e1)
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (152), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (229), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (230), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (231), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (232), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (233), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (234), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (235), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (236), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (237), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (238), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (239) yields:
% 18.36/4.92 | (240) all_0_9_9 = e3
% 18.36/4.92 | (241) all_0_12_12 = e3
% 18.36/4.92 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Combining equations (246,241) yields a new equation:
% 18.36/4.92 | (533) e3 = e2
% 18.36/4.92 |
% 18.36/4.92 | Equations (533) can reduce 69 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (244) yields:
% 18.36/4.92 | (245) all_0_9_9 = e2
% 18.36/4.92 | (246) all_0_12_12 = e2
% 18.36/4.92 | (247) ~ (all_0_8_8 = e3)
% 18.36/4.92 |
% 18.36/4.92 | Equations (198) can reduce 247 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (249) yields:
% 18.36/4.92 | (250) all_0_10_10 = e3
% 18.36/4.92 | (251) all_0_16_16 = e3
% 18.36/4.92 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Combining equations (251,256) yields a new equation:
% 18.36/4.92 | (441) e3 = e1
% 18.36/4.92 |
% 18.36/4.92 | Simplifying 441 yields:
% 18.36/4.92 | (414) e3 = e1
% 18.36/4.92 |
% 18.36/4.92 | Equations (414) can reduce 147 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (254) yields:
% 18.36/4.92 | (255) all_0_10_10 = e1
% 18.36/4.92 | (256) all_0_16_16 = e1
% 18.36/4.92 | (247) ~ (all_0_8_8 = e3)
% 18.36/4.92 |
% 18.36/4.92 | Equations (198) can reduce 247 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (259) yields:
% 18.36/4.92 | (260) all_0_11_11 = e3
% 18.36/4.92 | (261) all_0_20_20 = e3
% 18.36/4.92 | (262) ~ (all_0_23_23 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Combining equations (266,261) yields a new equation:
% 18.36/4.92 | (365) e3 = e0
% 18.36/4.92 |
% 18.36/4.92 | Equations (365) can reduce 107 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (264) yields:
% 18.36/4.92 | (265) all_0_11_11 = e0
% 18.36/4.92 | (266) all_0_20_20 = e0
% 18.36/4.92 | (247) ~ (all_0_8_8 = e3)
% 18.36/4.92 |
% 18.36/4.92 | Equations (198) can reduce 247 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (269) yields:
% 18.36/4.92 | (270) all_0_14_14 = e2
% 18.36/4.92 | (271) all_0_17_17 = e2
% 18.36/4.92 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Equations (270) can reduce 498 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (274) yields:
% 18.36/4.92 | (275) all_0_14_14 = e1
% 18.36/4.92 | (276) all_0_17_17 = e1
% 18.36/4.92 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Equations (276) can reduce 228 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (279) yields:
% 18.36/4.92 | (280) all_0_15_15 = e2
% 18.36/4.92 | (281) all_0_21_21 = e2
% 18.36/4.92 | (262) ~ (all_0_23_23 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Equations (280) can reduce 1585 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (284) yields:
% 18.36/4.92 | (285) all_0_15_15 = e0
% 18.36/4.92 | (286) all_0_21_21 = e0
% 18.36/4.92 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Equations (286) can reduce 187 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (289) yields:
% 18.36/4.92 | (290) all_0_19_19 = e1
% 18.36/4.92 | (291) all_0_22_22 = e1
% 18.36/4.92 | (262) ~ (all_0_23_23 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Equations (290) can reduce 310 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Applying alpha-rule on (294) yields:
% 18.36/4.92 | (295) all_0_19_19 = e0
% 18.36/4.92 | (296) all_0_22_22 = e0
% 18.36/4.92 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.92 |
% 18.36/4.92 | Equations (296) can reduce 188 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (214) ~ (all_0_18_18 = e3)
% 18.36/4.92 | (902) all_0_22_22 = e3
% 18.36/4.92 |
% 18.36/4.92 | Equations (902) can reduce 881 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (507) all_0_13_13 = e0
% 18.36/4.92 | (280) all_0_15_15 = e2
% 18.36/4.92 |
% 18.36/4.92 | Equations (280) can reduce 98 to:
% 18.36/4.92 | (953) ~ (all_0_11_11 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Equations (280) can reduce 162 to:
% 18.36/4.92 | (711) ~ (all_0_12_12 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Equations (507,280) can reduce 84 to:
% 18.36/4.92 | (191) ~ (e2 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Simplifying 191 yields:
% 18.36/4.92 | (137) ~ (e2 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Equations (507) can reduce 5 to:
% 18.36/4.92 | (3255) ~ (all_0_17_17 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Simplifying 3255 yields:
% 18.36/4.92 | (486) ~ (all_0_17_17 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Equations (280) can reduce 50 to:
% 18.36/4.92 | (498) ~ (all_0_14_14 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Equations (280) can reduce 329 to:
% 18.36/4.92 | (499) ~ (e3 = e2)
% 18.36/4.92 |
% 18.36/4.92 | Simplifying 499 yields:
% 18.36/4.92 | (69) ~ (e3 = e2)
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (110), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (410) all_0_10_10 = e0
% 18.36/4.92 |
% 18.36/4.92 | Equations (410) can reduce 42 to:
% 18.36/4.92 | (1136) ~ (all_0_18_18 = e0)
% 18.36/4.92 |
% 18.36/4.92 | Simplifying 1136 yields:
% 18.36/4.92 | (215) ~ (all_0_18_18 = e0)
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (54), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (320) all_0_16_16 = e0
% 18.36/4.92 |
% 18.36/4.92 | Equations (320) can reduce 480 to:
% 18.36/4.92 | (172) $false
% 18.36/4.92 |
% 18.36/4.92 |-The branch is then unsatisfiable
% 18.36/4.92 |-Branch two:
% 18.36/4.92 | (480) ~ (all_0_16_16 = e0)
% 18.36/4.92 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 18.36/4.92 |
% 18.36/4.92 +-Applying beta-rule and splitting (99), into two cases.
% 18.36/4.92 |-Branch one:
% 18.36/4.92 | (1100) all_0_8_8 = e2
% 18.36/4.92 |
% 18.36/4.92 | Combining equations (1100,198) yields a new equation:
% 18.36/4.93 | (533) e3 = e2
% 18.36/4.93 |
% 18.36/4.93 | Equations (533) can reduce 69 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (196) ~ (all_0_8_8 = e2)
% 18.36/4.93 | (3271) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (3271), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (246) all_0_12_12 = e2
% 18.36/4.93 |
% 18.36/4.93 | Equations (246) can reduce 711 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (711) ~ (all_0_12_12 = e2)
% 18.36/4.93 | (3275) all_0_16_16 = e2 | all_0_20_20 = e2
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (3275), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (666) all_0_16_16 = e2
% 18.36/4.93 |
% 18.36/4.93 | Equations (666) can reduce 71 to:
% 18.36/4.93 | (711) ~ (all_0_12_12 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Equations (666) can reduce 108 to:
% 18.36/4.93 | (3278) ~ (all_0_18_18 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 3278 yields:
% 18.36/4.93 | (217) ~ (all_0_18_18 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Equations (666) can reduce 32 to:
% 18.36/4.93 | (313) ~ (all_0_19_19 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 313 yields:
% 18.36/4.93 | (314) ~ (all_0_19_19 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Equations (666) can reduce 208 to:
% 18.36/4.93 | (499) ~ (e3 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 499 yields:
% 18.36/4.93 | (69) ~ (e3 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Equations (666) can reduce 480 to:
% 18.36/4.93 | (137) ~ (e2 = e0)
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (126), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (214) ~ (all_0_18_18 = e3)
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (20), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (251) all_0_16_16 = e3
% 18.36/4.93 |
% 18.36/4.93 | Combining equations (251,666) yields a new equation:
% 18.36/4.93 | (532) e3 = e2
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 532 yields:
% 18.36/4.93 | (533) e3 = e2
% 18.36/4.93 |
% 18.36/4.93 | Equations (533) can reduce 69 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (208) ~ (all_0_16_16 = e3)
% 18.36/4.93 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (648), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (413) all_0_17_17 = e3
% 18.36/4.93 |
% 18.36/4.93 | Equations (413) can reduce 121 to:
% 18.36/4.93 | (2567) ~ (all_0_18_18 = e3)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 2567 yields:
% 18.36/4.93 | (214) ~ (all_0_18_18 = e3)
% 18.36/4.93 |
% 18.36/4.93 | Equations (413) can reduce 150 to:
% 18.36/4.93 | (1125) ~ (all_0_19_19 = e3)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 1125 yields:
% 18.36/4.93 | (469) ~ (all_0_19_19 = e3)
% 18.36/4.93 |
% 18.36/4.93 | Equations (413) can reduce 486 to:
% 18.36/4.93 | (107) ~ (e3 = e0)
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (163), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (218) all_0_18_18 = e3
% 18.36/4.93 |
% 18.36/4.93 | Equations (218) can reduce 214 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (214) ~ (all_0_18_18 = e3)
% 18.36/4.93 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (48), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (403) all_0_10_10 = e2
% 18.36/4.93 |
% 18.36/4.93 | Combining equations (403,410) yields a new equation:
% 18.36/4.93 | (489) e2 = e0
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 489 yields:
% 18.36/4.93 | (490) e2 = e0
% 18.36/4.93 |
% 18.36/4.93 | Equations (490) can reduce 137 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (305) ~ (all_0_10_10 = e2)
% 18.36/4.93 | (706) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (706), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (270) all_0_14_14 = e2
% 18.36/4.93 |
% 18.36/4.93 | Equations (270) can reduce 498 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (498) ~ (all_0_14_14 = e2)
% 18.36/4.93 | (720) all_0_18_18 = e2 | all_0_22_22 = e2
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (720), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (222) all_0_18_18 = e2
% 18.36/4.93 |
% 18.36/4.93 | Equations (222) can reduce 217 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (217) ~ (all_0_18_18 = e2)
% 18.36/4.93 | (725) all_0_22_22 = e2
% 18.36/4.93 |
% 18.36/4.93 | Equations (725) can reduce 101 to:
% 18.36/4.93 | (217) ~ (all_0_18_18 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Equations (725) can reduce 131 to:
% 18.36/4.93 | (1811) ~ (all_0_21_21 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Equations (725) can reduce 881 to:
% 18.36/4.93 | (499) ~ (e3 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 499 yields:
% 18.36/4.93 | (69) ~ (e3 = e2)
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (221), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (222) all_0_18_18 = e2
% 18.36/4.93 |
% 18.36/4.93 | Equations (222) can reduce 217 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (217) ~ (all_0_18_18 = e2)
% 18.36/4.93 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (23), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (250) all_0_10_10 = e3
% 18.36/4.93 |
% 18.36/4.93 | Combining equations (250,410) yields a new equation:
% 18.36/4.93 | (364) e3 = e0
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 364 yields:
% 18.36/4.93 | (365) e3 = e0
% 18.36/4.93 |
% 18.36/4.93 | Equations (365) can reduce 107 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (202) ~ (all_0_10_10 = e3)
% 18.36/4.93 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 18.36/4.93 |
% 18.36/4.93 | Equations (410) can reduce 202 to:
% 18.36/4.93 | (189) ~ (e3 = e0)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 189 yields:
% 18.36/4.93 | (107) ~ (e3 = e0)
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (225), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (226) all_0_18_18 = e1
% 18.36/4.93 |
% 18.36/4.93 | Equations (226) can reduce 123 to:
% 18.36/4.93 | (309) ~ (all_0_19_19 = e1)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 309 yields:
% 18.36/4.93 | (310) ~ (all_0_19_19 = e1)
% 18.36/4.93 |
% 18.36/4.93 | Equations (226) can reduce 214 to:
% 18.36/4.93 | (438) ~ (e3 = e1)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 438 yields:
% 18.36/4.93 | (147) ~ (e3 = e1)
% 18.36/4.93 |
% 18.36/4.93 | Equations (226) can reduce 215 to:
% 18.36/4.93 | (90) ~ (e1 = e0)
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (481), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (482) all_0_17_17 = e0
% 18.36/4.93 |
% 18.36/4.93 | Combining equations (413,482) yields a new equation:
% 18.36/4.93 | (364) e3 = e0
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 364 yields:
% 18.36/4.93 | (365) e3 = e0
% 18.36/4.93 |
% 18.36/4.93 | Equations (365) can reduce 107 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (486) ~ (all_0_17_17 = e0)
% 18.36/4.93 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (487), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (300) all_0_18_18 = e0
% 18.36/4.93 |
% 18.36/4.93 | Combining equations (226,300) yields a new equation:
% 18.36/4.93 | (371) e1 = e0
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 371 yields:
% 18.36/4.93 | (372) e1 = e0
% 18.36/4.93 |
% 18.36/4.93 | Equations (372) can reduce 90 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (215) ~ (all_0_18_18 = e0)
% 18.36/4.93 | (295) all_0_19_19 = e0
% 18.36/4.93 |
% 18.36/4.93 | Equations (295) can reduce 115 to:
% 18.36/4.93 | (183) ~ (all_0_11_11 = e0)
% 18.36/4.93 |
% 18.36/4.93 | Equations (295) can reduce 469 to:
% 18.36/4.93 | (189) ~ (e3 = e0)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 189 yields:
% 18.36/4.93 | (107) ~ (e3 = e0)
% 18.36/4.93 |
% 18.36/4.93 | Equations (295) can reduce 314 to:
% 18.36/4.93 | (191) ~ (e2 = e0)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 191 yields:
% 18.36/4.93 | (137) ~ (e2 = e0)
% 18.36/4.93 |
% 18.36/4.93 | Equations (295) can reduce 310 to:
% 18.36/4.93 | (193) ~ (e1 = e0)
% 18.36/4.93 |
% 18.36/4.93 | Simplifying 193 yields:
% 18.36/4.93 | (90) ~ (e1 = e0)
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (152), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (229), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (230), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (231), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (232), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (233), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (234), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (235), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (236), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (237), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.36/4.93 |
% 18.36/4.93 +-Applying beta-rule and splitting (238), into two cases.
% 18.36/4.93 |-Branch one:
% 18.36/4.93 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Applying alpha-rule on (239) yields:
% 18.36/4.93 | (240) all_0_9_9 = e3
% 18.36/4.93 | (241) all_0_12_12 = e3
% 18.36/4.93 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.93 |
% 18.36/4.93 | Equations (241) can reduce 206 to:
% 18.36/4.93 | (172) $false
% 18.36/4.93 |
% 18.36/4.93 |-The branch is then unsatisfiable
% 18.36/4.93 |-Branch two:
% 18.36/4.93 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (244) yields:
% 18.36/4.94 | (245) all_0_9_9 = e2
% 18.36/4.94 | (246) all_0_12_12 = e2
% 18.36/4.94 | (247) ~ (all_0_8_8 = e3)
% 18.36/4.94 |
% 18.36/4.94 | Equations (246) can reduce 711 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (249) yields:
% 18.36/4.94 | (250) all_0_10_10 = e3
% 18.36/4.94 | (251) all_0_16_16 = e3
% 18.36/4.94 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (250,410) yields a new equation:
% 18.36/4.94 | (364) e3 = e0
% 18.36/4.94 |
% 18.36/4.94 | Simplifying 364 yields:
% 18.36/4.94 | (365) e3 = e0
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (666,251) yields a new equation:
% 18.36/4.94 | (533) e3 = e2
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (533,365) yields a new equation:
% 18.36/4.94 | (489) e2 = e0
% 18.36/4.94 |
% 18.36/4.94 | Simplifying 489 yields:
% 18.36/4.94 | (490) e2 = e0
% 18.36/4.94 |
% 18.36/4.94 | Equations (490) can reduce 137 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (254) yields:
% 18.36/4.94 | (255) all_0_10_10 = e1
% 18.36/4.94 | (256) all_0_16_16 = e1
% 18.36/4.94 | (247) ~ (all_0_8_8 = e3)
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (255,410) yields a new equation:
% 18.36/4.94 | (371) e1 = e0
% 18.36/4.94 |
% 18.36/4.94 | Simplifying 371 yields:
% 18.36/4.94 | (372) e1 = e0
% 18.36/4.94 |
% 18.36/4.94 | Equations (372) can reduce 90 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (259) yields:
% 18.36/4.94 | (260) all_0_11_11 = e3
% 18.36/4.94 | (261) all_0_20_20 = e3
% 18.36/4.94 | (262) ~ (all_0_23_23 = e0)
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (261,266) yields a new equation:
% 18.36/4.94 | (364) e3 = e0
% 18.36/4.94 |
% 18.36/4.94 | Simplifying 364 yields:
% 18.36/4.94 | (365) e3 = e0
% 18.36/4.94 |
% 18.36/4.94 | Equations (365) can reduce 107 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (264) yields:
% 18.36/4.94 | (265) all_0_11_11 = e0
% 18.36/4.94 | (266) all_0_20_20 = e0
% 18.36/4.94 | (247) ~ (all_0_8_8 = e3)
% 18.36/4.94 |
% 18.36/4.94 | Equations (265) can reduce 183 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (269) yields:
% 18.36/4.94 | (270) all_0_14_14 = e2
% 18.36/4.94 | (271) all_0_17_17 = e2
% 18.36/4.94 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (413,271) yields a new equation:
% 18.36/4.94 | (532) e3 = e2
% 18.36/4.94 |
% 18.36/4.94 | Simplifying 532 yields:
% 18.36/4.94 | (533) e3 = e2
% 18.36/4.94 |
% 18.36/4.94 | Equations (533) can reduce 69 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (274) yields:
% 18.36/4.94 | (275) all_0_14_14 = e1
% 18.36/4.94 | (276) all_0_17_17 = e1
% 18.36/4.94 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (413,276) yields a new equation:
% 18.36/4.94 | (441) e3 = e1
% 18.36/4.94 |
% 18.36/4.94 | Simplifying 441 yields:
% 18.36/4.94 | (414) e3 = e1
% 18.36/4.94 |
% 18.36/4.94 | Equations (414) can reduce 147 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (279) yields:
% 18.36/4.94 | (280) all_0_15_15 = e2
% 18.36/4.94 | (281) all_0_21_21 = e2
% 18.36/4.94 | (262) ~ (all_0_23_23 = e0)
% 18.36/4.94 |
% 18.36/4.94 | Equations (281) can reduce 1811 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (284) yields:
% 18.36/4.94 | (285) all_0_15_15 = e0
% 18.36/4.94 | (286) all_0_21_21 = e0
% 18.36/4.94 | (242) ~ (all_0_13_13 = e2)
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (285,280) yields a new equation:
% 18.36/4.94 | (490) e2 = e0
% 18.36/4.94 |
% 18.36/4.94 | Equations (490) can reduce 137 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (289) yields:
% 18.36/4.94 | (290) all_0_19_19 = e1
% 18.36/4.94 | (291) all_0_22_22 = e1
% 18.36/4.94 | (262) ~ (all_0_23_23 = e0)
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (290,295) yields a new equation:
% 18.36/4.94 | (371) e1 = e0
% 18.36/4.94 |
% 18.36/4.94 | Simplifying 371 yields:
% 18.36/4.94 | (372) e1 = e0
% 18.36/4.94 |
% 18.36/4.94 | Equations (372) can reduce 90 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.36/4.94 |
% 18.36/4.94 | Applying alpha-rule on (294) yields:
% 18.36/4.94 | (295) all_0_19_19 = e0
% 18.36/4.94 | (296) all_0_22_22 = e0
% 18.36/4.94 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.94 |
% 18.36/4.94 | Combining equations (296,725) yields a new equation:
% 18.36/4.94 | (490) e2 = e0
% 18.36/4.94 |
% 18.36/4.94 | Equations (490) can reduce 137 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.36/4.94 | (252) ~ (all_0_18_18 = e1)
% 18.36/4.94 | (300) all_0_18_18 = e0
% 18.36/4.94 |
% 18.36/4.94 | Equations (300) can reduce 215 to:
% 18.36/4.94 | (172) $false
% 18.36/4.94 |
% 18.36/4.94 |-The branch is then unsatisfiable
% 18.36/4.94 |-Branch two:
% 18.49/4.94 | (416) ~ (all_0_17_17 = e3)
% 18.49/4.94 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (862), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (218) all_0_18_18 = e3
% 18.49/4.94 |
% 18.49/4.94 | Equations (218) can reduce 214 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (214) ~ (all_0_18_18 = e3)
% 18.49/4.94 | (327) all_0_19_19 = e3
% 18.49/4.94 |
% 18.49/4.94 | Equations (327) can reduce 469 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (218) all_0_18_18 = e3
% 18.49/4.94 | (256) all_0_16_16 = e1
% 18.49/4.94 |
% 18.49/4.94 | Combining equations (666,256) yields a new equation:
% 18.49/4.94 | (716) e2 = e1
% 18.49/4.94 |
% 18.49/4.94 | Simplifying 716 yields:
% 18.49/4.94 | (388) e2 = e1
% 18.49/4.94 |
% 18.49/4.94 | Equations (388) can reduce 49 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (854) ~ (all_0_16_16 = e2)
% 18.49/4.94 | (687) all_0_20_20 = e2
% 18.49/4.94 |
% 18.49/4.94 | Combining equations (266,687) yields a new equation:
% 18.49/4.94 | (490) e2 = e0
% 18.49/4.94 |
% 18.49/4.94 | Equations (490) can reduce 137 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (599) ~ (all_0_10_10 = e0)
% 18.49/4.94 | (1145) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (99), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (1100) all_0_8_8 = e2
% 18.49/4.94 |
% 18.49/4.94 | Combining equations (1100,198) yields a new equation:
% 18.49/4.94 | (533) e3 = e2
% 18.49/4.94 |
% 18.49/4.94 | Equations (533) can reduce 69 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (196) ~ (all_0_8_8 = e2)
% 18.49/4.94 | (3271) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (3271), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (246) all_0_12_12 = e2
% 18.49/4.94 |
% 18.49/4.94 | Equations (246) can reduce 711 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (711) ~ (all_0_12_12 = e2)
% 18.49/4.94 | (3275) all_0_16_16 = e2 | all_0_20_20 = e2
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (3275), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (666) all_0_16_16 = e2
% 18.49/4.94 |
% 18.49/4.94 | Equations (666) can reduce 71 to:
% 18.49/4.94 | (711) ~ (all_0_12_12 = e2)
% 18.49/4.94 |
% 18.49/4.94 | Equations (666) can reduce 108 to:
% 18.49/4.94 | (3278) ~ (all_0_18_18 = e2)
% 18.49/4.94 |
% 18.49/4.94 | Simplifying 3278 yields:
% 18.49/4.94 | (217) ~ (all_0_18_18 = e2)
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (133), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (240) all_0_9_9 = e3
% 18.49/4.94 |
% 18.49/4.94 | Equations (240) can reduce 200 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (200) ~ (all_0_9_9 = e3)
% 18.49/4.94 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (319), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (336) all_0_13_13 = e3
% 18.49/4.94 |
% 18.49/4.94 | Combining equations (336,507) yields a new equation:
% 18.49/4.94 | (364) e3 = e0
% 18.49/4.94 |
% 18.49/4.94 | Simplifying 364 yields:
% 18.49/4.94 | (365) e3 = e0
% 18.49/4.94 |
% 18.49/4.94 | Equations (365) can reduce 107 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (216) ~ (all_0_13_13 = e3)
% 18.49/4.94 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (402), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (413) all_0_17_17 = e3
% 18.49/4.94 |
% 18.49/4.94 | Equations (413) can reduce 121 to:
% 18.49/4.94 | (2567) ~ (all_0_18_18 = e3)
% 18.49/4.94 |
% 18.49/4.94 | Simplifying 2567 yields:
% 18.49/4.94 | (214) ~ (all_0_18_18 = e3)
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (163), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (218) all_0_18_18 = e3
% 18.49/4.94 |
% 18.49/4.94 | Equations (218) can reduce 214 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (214) ~ (all_0_18_18 = e3)
% 18.49/4.94 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (221), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (222) all_0_18_18 = e2
% 18.49/4.94 |
% 18.49/4.94 | Equations (222) can reduce 217 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (217) ~ (all_0_18_18 = e2)
% 18.49/4.94 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (225), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (226) all_0_18_18 = e1
% 18.49/4.94 |
% 18.49/4.94 | Equations (226) can reduce 42 to:
% 18.49/4.94 | (394) ~ (all_0_10_10 = e1)
% 18.49/4.94 |
% 18.49/4.94 | Equations (226) can reduce 101 to:
% 18.49/4.94 | (698) ~ (all_0_22_22 = e1)
% 18.49/4.94 |
% 18.49/4.94 | Simplifying 698 yields:
% 18.49/4.94 | (699) ~ (all_0_22_22 = e1)
% 18.49/4.94 |
% 18.49/4.94 | Equations (226) can reduce 214 to:
% 18.49/4.94 | (438) ~ (e3 = e1)
% 18.49/4.94 |
% 18.49/4.94 | Simplifying 438 yields:
% 18.49/4.94 | (147) ~ (e3 = e1)
% 18.49/4.94 |
% 18.49/4.94 | Equations (226) can reduce 215 to:
% 18.49/4.94 | (90) ~ (e1 = e0)
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (47), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (902) all_0_22_22 = e3
% 18.49/4.94 |
% 18.49/4.94 | Equations (902) can reduce 881 to:
% 18.49/4.94 | (172) $false
% 18.49/4.94 |
% 18.49/4.94 |-The branch is then unsatisfiable
% 18.49/4.94 |-Branch two:
% 18.49/4.94 | (881) ~ (all_0_22_22 = e3)
% 18.49/4.94 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (905), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (725) all_0_22_22 = e2
% 18.49/4.94 |
% 18.49/4.94 | Equations (725) can reduce 145 to:
% 18.49/4.94 | (305) ~ (all_0_10_10 = e2)
% 18.49/4.94 |
% 18.49/4.94 | Equations (725) can reduce 131 to:
% 18.49/4.94 | (1811) ~ (all_0_21_21 = e2)
% 18.49/4.94 |
% 18.49/4.94 | Equations (725) can reduce 881 to:
% 18.49/4.94 | (499) ~ (e3 = e2)
% 18.49/4.94 |
% 18.49/4.94 | Simplifying 499 yields:
% 18.49/4.94 | (69) ~ (e3 = e2)
% 18.49/4.94 |
% 18.49/4.94 | Equations (725) can reduce 188 to:
% 18.49/4.94 | (137) ~ (e2 = e0)
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (6), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (437) all_0_11_11 = e1
% 18.49/4.94 |
% 18.49/4.94 | Equations (437) can reduce 204 to:
% 18.49/4.94 | (438) ~ (e3 = e1)
% 18.49/4.94 |
% 18.49/4.94 | Simplifying 438 yields:
% 18.49/4.94 | (147) ~ (e3 = e1)
% 18.49/4.94 |
% 18.49/4.94 | Equations (437) can reduce 953 to:
% 18.49/4.94 | (307) ~ (e2 = e1)
% 18.49/4.94 |
% 18.49/4.94 | Simplifying 307 yields:
% 18.49/4.94 | (49) ~ (e2 = e1)
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (152), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (229), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (230), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.49/4.94 |
% 18.49/4.94 +-Applying beta-rule and splitting (231), into two cases.
% 18.49/4.94 |-Branch one:
% 18.49/4.94 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (232), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (233), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (234), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (235), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (236), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (237), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (238), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (239) yields:
% 18.49/4.95 | (240) all_0_9_9 = e3
% 18.49/4.95 | (241) all_0_12_12 = e3
% 18.49/4.95 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.95 |
% 18.49/4.95 | Equations (241) can reduce 206 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (244) yields:
% 18.49/4.95 | (245) all_0_9_9 = e2
% 18.49/4.95 | (246) all_0_12_12 = e2
% 18.49/4.95 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.95 |
% 18.49/4.95 | Equations (246) can reduce 711 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (249) yields:
% 18.49/4.95 | (250) all_0_10_10 = e3
% 18.49/4.95 | (251) all_0_16_16 = e3
% 18.49/4.95 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (251,666) yields a new equation:
% 18.49/4.95 | (532) e3 = e2
% 18.49/4.95 |
% 18.49/4.95 | Simplifying 532 yields:
% 18.49/4.95 | (533) e3 = e2
% 18.49/4.95 |
% 18.49/4.95 | Equations (533) can reduce 69 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (254) yields:
% 18.49/4.95 | (255) all_0_10_10 = e1
% 18.49/4.95 | (256) all_0_16_16 = e1
% 18.49/4.95 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (256,666) yields a new equation:
% 18.49/4.95 | (388) e2 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (388) can reduce 49 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (259) yields:
% 18.49/4.95 | (260) all_0_11_11 = e3
% 18.49/4.95 | (261) all_0_20_20 = e3
% 18.49/4.95 | (262) ~ (all_0_23_23 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (260,437) yields a new equation:
% 18.49/4.95 | (441) e3 = e1
% 18.49/4.95 |
% 18.49/4.95 | Simplifying 441 yields:
% 18.49/4.95 | (414) e3 = e1
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (266,261) yields a new equation:
% 18.49/4.95 | (365) e3 = e0
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (365,414) yields a new equation:
% 18.49/4.95 | (372) e1 = e0
% 18.49/4.95 |
% 18.49/4.95 | Equations (372) can reduce 90 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (264) yields:
% 18.49/4.95 | (265) all_0_11_11 = e0
% 18.49/4.95 | (266) all_0_20_20 = e0
% 18.49/4.95 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (265,437) yields a new equation:
% 18.49/4.95 | (372) e1 = e0
% 18.49/4.95 |
% 18.49/4.95 | Equations (372) can reduce 90 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (269) yields:
% 18.49/4.95 | (270) all_0_14_14 = e2
% 18.49/4.95 | (271) all_0_17_17 = e2
% 18.49/4.95 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (413,271) yields a new equation:
% 18.49/4.95 | (532) e3 = e2
% 18.49/4.95 |
% 18.49/4.95 | Simplifying 532 yields:
% 18.49/4.95 | (533) e3 = e2
% 18.49/4.95 |
% 18.49/4.95 | Equations (533) can reduce 69 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (274) yields:
% 18.49/4.95 | (275) all_0_14_14 = e1
% 18.49/4.95 | (276) all_0_17_17 = e1
% 18.49/4.95 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (413,276) yields a new equation:
% 18.49/4.95 | (441) e3 = e1
% 18.49/4.95 |
% 18.49/4.95 | Simplifying 441 yields:
% 18.49/4.95 | (414) e3 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (414) can reduce 147 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (279) yields:
% 18.49/4.95 | (280) all_0_15_15 = e2
% 18.49/4.95 | (281) all_0_21_21 = e2
% 18.49/4.95 | (262) ~ (all_0_23_23 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Equations (281) can reduce 1811 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (284) yields:
% 18.49/4.95 | (285) all_0_15_15 = e0
% 18.49/4.95 | (286) all_0_21_21 = e0
% 18.49/4.95 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (285,280) yields a new equation:
% 18.49/4.95 | (490) e2 = e0
% 18.49/4.95 |
% 18.49/4.95 | Equations (490) can reduce 137 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (289) yields:
% 18.49/4.95 | (290) all_0_19_19 = e1
% 18.49/4.95 | (291) all_0_22_22 = e1
% 18.49/4.95 | (262) ~ (all_0_23_23 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (291,725) yields a new equation:
% 18.49/4.95 | (388) e2 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (388) can reduce 49 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Applying alpha-rule on (294) yields:
% 18.49/4.95 | (295) all_0_19_19 = e0
% 18.49/4.95 | (296) all_0_22_22 = e0
% 18.49/4.95 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (296,725) yields a new equation:
% 18.49/4.95 | (490) e2 = e0
% 18.49/4.95 |
% 18.49/4.95 | Equations (490) can reduce 137 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (600) ~ (all_0_11_11 = e1)
% 18.49/4.95 | (3607) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (155), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (423) all_0_8_8 = e1
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (423,198) yields a new equation:
% 18.49/4.95 | (414) e3 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (414) can reduce 147 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (195) ~ (all_0_8_8 = e1)
% 18.49/4.95 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (100), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (250) all_0_10_10 = e3
% 18.49/4.95 |
% 18.49/4.95 | Equations (250) can reduce 202 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (202) ~ (all_0_10_10 = e3)
% 18.49/4.95 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (427), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (428) all_0_9_9 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (428) can reduce 79 to:
% 18.49/4.95 | (1183) ~ (all_0_10_10 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Simplifying 1183 yields:
% 18.49/4.95 | (394) ~ (all_0_10_10 = e1)
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (398), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (403) all_0_10_10 = e2
% 18.49/4.95 |
% 18.49/4.95 | Equations (403) can reduce 305 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (305) ~ (all_0_10_10 = e2)
% 18.49/4.95 | (406) all_0_10_10 = e1 | all_0_10_10 = e0
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (406), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (255) all_0_10_10 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (255) can reduce 394 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (394) ~ (all_0_10_10 = e1)
% 18.49/4.95 | (410) all_0_10_10 = e0
% 18.49/4.95 |
% 18.49/4.95 | Equations (410) can reduce 599 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (304) ~ (all_0_9_9 = e1)
% 18.49/4.95 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (431), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (255) all_0_10_10 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (255) can reduce 394 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (394) ~ (all_0_10_10 = e1)
% 18.49/4.95 | (437) all_0_11_11 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (437) can reduce 600 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (933) ~ (all_0_22_22 = e2)
% 18.49/4.95 | (934) all_0_22_22 = e1 | all_0_22_22 = e0
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (934), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (291) all_0_22_22 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (291) can reduce 699 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (699) ~ (all_0_22_22 = e1)
% 18.49/4.95 | (296) all_0_22_22 = e0
% 18.49/4.95 |
% 18.49/4.95 | Equations (296) can reduce 188 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.95 | (300) all_0_18_18 = e0
% 18.49/4.95 |
% 18.49/4.95 | Equations (300) can reduce 215 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (416) ~ (all_0_17_17 = e3)
% 18.49/4.95 | (417) all_0_21_21 = e3
% 18.49/4.95 |
% 18.49/4.95 | Equations (417) can reduce 1618 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (854) ~ (all_0_16_16 = e2)
% 18.49/4.95 | (687) all_0_20_20 = e2
% 18.49/4.95 |
% 18.49/4.95 | Combining equations (687,266) yields a new equation:
% 18.49/4.95 | (489) e2 = e0
% 18.49/4.95 |
% 18.49/4.95 | Simplifying 489 yields:
% 18.49/4.95 | (490) e2 = e0
% 18.49/4.95 |
% 18.49/4.95 | Equations (490) can reduce 137 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (300) all_0_18_18 = e0
% 18.49/4.95 | (290) all_0_19_19 = e1
% 18.49/4.95 |
% 18.49/4.95 | Equations (300) can reduce 42 to:
% 18.49/4.95 | (599) ~ (all_0_10_10 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Equations (300) can reduce 108 to:
% 18.49/4.95 | (480) ~ (all_0_16_16 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Equations (290) can reduce 32 to:
% 18.49/4.95 | (227) ~ (all_0_16_16 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Equations (300) can reduce 121 to:
% 18.49/4.95 | (486) ~ (all_0_17_17 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Equations (290) can reduce 150 to:
% 18.49/4.95 | (228) ~ (all_0_17_17 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Equations (300,290) can reduce 123 to:
% 18.49/4.95 | (193) ~ (e1 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Simplifying 193 yields:
% 18.49/4.95 | (90) ~ (e1 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Equations (300) can reduce 101 to:
% 18.49/4.95 | (514) ~ (all_0_22_22 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Simplifying 514 yields:
% 18.49/4.95 | (188) ~ (all_0_22_22 = e0)
% 18.49/4.95 |
% 18.49/4.95 | Equations (290) can reduce 469 to:
% 18.49/4.95 | (438) ~ (e3 = e1)
% 18.49/4.95 |
% 18.49/4.95 | Simplifying 438 yields:
% 18.49/4.95 | (147) ~ (e3 = e1)
% 18.49/4.95 |
% 18.49/4.95 | From (300)(300) and (116) follows:
% 18.49/4.95 | (3667) op(e0, e0) = all_0_3_3
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (83), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (251) all_0_16_16 = e3
% 18.49/4.95 |
% 18.49/4.95 | Equations (251) can reduce 208 to:
% 18.49/4.95 | (172) $false
% 18.49/4.95 |
% 18.49/4.95 |-The branch is then unsatisfiable
% 18.49/4.95 |-Branch two:
% 18.49/4.95 | (208) ~ (all_0_16_16 = e3)
% 18.49/4.95 | (665) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 18.49/4.95 |
% 18.49/4.95 +-Applying beta-rule and splitting (665), into two cases.
% 18.49/4.95 |-Branch one:
% 18.49/4.95 | (666) all_0_16_16 = e2
% 18.49/4.95 |
% 18.49/4.96 | Equations (666) can reduce 71 to:
% 18.49/4.96 | (711) ~ (all_0_12_12 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Equations (666) can reduce 148 to:
% 18.49/4.96 | (2535) ~ (all_0_17_17 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 2535 yields:
% 18.49/4.96 | (1004) ~ (all_0_17_17 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Equations (666) can reduce 227 to:
% 18.49/4.96 | (49) ~ (e2 = e1)
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (23), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (250) all_0_10_10 = e3
% 18.49/4.96 |
% 18.49/4.96 | Equations (250) can reduce 202 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (202) ~ (all_0_10_10 = e3)
% 18.49/4.96 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (135), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (423) all_0_8_8 = e1
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (423,198) yields a new equation:
% 18.49/4.96 | (414) e3 = e1
% 18.49/4.96 |
% 18.49/4.96 | Equations (414) can reduce 147 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (195) ~ (all_0_8_8 = e1)
% 18.49/4.96 | (875) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (153), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (216) ~ (all_0_13_13 = e3)
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (890), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (440) all_0_14_14 = e3
% 18.49/4.96 |
% 18.49/4.96 | Equations (440) can reduce 65 to:
% 18.49/4.96 | (202) ~ (all_0_10_10 = e3)
% 18.49/4.96 |
% 18.49/4.96 | Equations (440) can reduce 81 to:
% 18.49/4.96 | (880) ~ (all_0_22_22 = e3)
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 880 yields:
% 18.49/4.96 | (881) ~ (all_0_22_22 = e3)
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (26), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (413) all_0_17_17 = e3
% 18.49/4.96 |
% 18.49/4.96 | Equations (413) can reduce 1004 to:
% 18.49/4.96 | (69) ~ (e3 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Equations (413) can reduce 486 to:
% 18.49/4.96 | (107) ~ (e3 = e0)
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (875), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (657) all_0_12_12 = e1
% 18.49/4.96 |
% 18.49/4.96 | Instantiating formula (143) with e0, e0, all_0_3_3, e3 and discharging atoms op(e0, e0) = all_0_3_3, op(e0, e0) = e3, yields:
% 18.49/4.96 | (3695) all_0_3_3 = e3
% 18.49/4.96 |
% 18.49/4.96 | From (3695) and (44) follows:
% 18.49/4.96 | (3696) op(e3, e1) = all_0_2_2
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (33), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (3697) ~ (all_0_2_2 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Instantiating formula (143) with e3, e1, all_0_2_2, all_0_10_10 and discharging atoms op(e3, e1) = all_0_2_2, op(e3, e1) = all_0_10_10, yields:
% 18.49/4.96 | (3698) all_0_2_2 = all_0_10_10
% 18.49/4.96 |
% 18.49/4.96 | Equations (3698) can reduce 3697 to:
% 18.49/4.96 | (305) ~ (all_0_10_10 = e2)
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (100), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (250) all_0_10_10 = e3
% 18.49/4.96 |
% 18.49/4.96 | Equations (250) can reduce 202 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (202) ~ (all_0_10_10 = e3)
% 18.49/4.96 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (398), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (403) all_0_10_10 = e2
% 18.49/4.96 |
% 18.49/4.96 | Equations (403) can reduce 305 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (305) ~ (all_0_10_10 = e2)
% 18.49/4.96 | (406) all_0_10_10 = e1 | all_0_10_10 = e0
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (406), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (255) all_0_10_10 = e1
% 18.49/4.96 |
% 18.49/4.96 | Equations (255) can reduce 145 to:
% 18.49/4.96 | (698) ~ (all_0_22_22 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 698 yields:
% 18.49/4.96 | (699) ~ (all_0_22_22 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Equations (255) can reduce 202 to:
% 18.49/4.96 | (438) ~ (e3 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 438 yields:
% 18.49/4.96 | (147) ~ (e3 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Equations (255) can reduce 305 to:
% 18.49/4.96 | (307) ~ (e2 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 307 yields:
% 18.49/4.96 | (49) ~ (e2 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Equations (255) can reduce 599 to:
% 18.49/4.96 | (90) ~ (e1 = e0)
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (152), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (229), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (230), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (231), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (232), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (233), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (234), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (235), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (236), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (237), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (238), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Applying alpha-rule on (239) yields:
% 18.49/4.96 | (240) all_0_9_9 = e3
% 18.49/4.96 | (241) all_0_12_12 = e3
% 18.49/4.96 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (241,657) yields a new equation:
% 18.49/4.96 | (441) e3 = e1
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 441 yields:
% 18.49/4.96 | (414) e3 = e1
% 18.49/4.96 |
% 18.49/4.96 | Equations (414) can reduce 147 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.49/4.96 |
% 18.49/4.96 | Applying alpha-rule on (244) yields:
% 18.49/4.96 | (245) all_0_9_9 = e2
% 18.49/4.96 | (246) all_0_12_12 = e2
% 18.49/4.96 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (246,657) yields a new equation:
% 18.49/4.96 | (716) e2 = e1
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 716 yields:
% 18.49/4.96 | (388) e2 = e1
% 18.49/4.96 |
% 18.49/4.96 | Equations (388) can reduce 49 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Applying alpha-rule on (249) yields:
% 18.49/4.96 | (250) all_0_10_10 = e3
% 18.49/4.96 | (251) all_0_16_16 = e3
% 18.49/4.96 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (250,255) yields a new equation:
% 18.49/4.96 | (441) e3 = e1
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 441 yields:
% 18.49/4.96 | (414) e3 = e1
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (666,251) yields a new equation:
% 18.49/4.96 | (533) e3 = e2
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (414,533) yields a new equation:
% 18.49/4.96 | (388) e2 = e1
% 18.49/4.96 |
% 18.49/4.96 | Equations (388) can reduce 49 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.49/4.96 |
% 18.49/4.96 | Applying alpha-rule on (254) yields:
% 18.49/4.96 | (255) all_0_10_10 = e1
% 18.49/4.96 | (256) all_0_16_16 = e1
% 18.49/4.96 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (666,256) yields a new equation:
% 18.49/4.96 | (716) e2 = e1
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 716 yields:
% 18.49/4.96 | (388) e2 = e1
% 18.49/4.96 |
% 18.49/4.96 | Equations (388) can reduce 49 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.49/4.96 |
% 18.49/4.96 | Applying alpha-rule on (259) yields:
% 18.49/4.96 | (260) all_0_11_11 = e3
% 18.49/4.96 | (261) all_0_20_20 = e3
% 18.49/4.96 | (262) ~ (all_0_23_23 = e0)
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (261,266) yields a new equation:
% 18.49/4.96 | (364) e3 = e0
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 364 yields:
% 18.49/4.96 | (365) e3 = e0
% 18.49/4.96 |
% 18.49/4.96 | Equations (365) can reduce 107 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.49/4.96 |
% 18.49/4.96 | Applying alpha-rule on (264) yields:
% 18.49/4.96 | (265) all_0_11_11 = e0
% 18.49/4.96 | (266) all_0_20_20 = e0
% 18.49/4.96 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.96 |
% 18.49/4.96 | Equations (198) can reduce 247 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Applying alpha-rule on (269) yields:
% 18.49/4.96 | (270) all_0_14_14 = e2
% 18.49/4.96 | (271) all_0_17_17 = e2
% 18.49/4.96 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (413,271) yields a new equation:
% 18.49/4.96 | (532) e3 = e2
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 532 yields:
% 18.49/4.96 | (533) e3 = e2
% 18.49/4.96 |
% 18.49/4.96 | Equations (533) can reduce 69 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Applying alpha-rule on (274) yields:
% 18.49/4.96 | (275) all_0_14_14 = e1
% 18.49/4.96 | (276) all_0_17_17 = e1
% 18.49/4.96 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Combining equations (413,276) yields a new equation:
% 18.49/4.96 | (441) e3 = e1
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 441 yields:
% 18.49/4.96 | (414) e3 = e1
% 18.49/4.96 |
% 18.49/4.96 | Equations (414) can reduce 147 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.49/4.96 |
% 18.49/4.96 | Applying alpha-rule on (279) yields:
% 18.49/4.96 | (280) all_0_15_15 = e2
% 18.49/4.96 | (281) all_0_21_21 = e2
% 18.49/4.96 | (262) ~ (all_0_23_23 = e0)
% 18.49/4.96 |
% 18.49/4.96 | Equations (281) can reduce 131 to:
% 18.49/4.96 | (2115) ~ (all_0_22_22 = e2)
% 18.49/4.96 |
% 18.49/4.96 | Simplifying 2115 yields:
% 18.49/4.96 | (933) ~ (all_0_22_22 = e2)
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (47), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (902) all_0_22_22 = e3
% 18.49/4.96 |
% 18.49/4.96 | Equations (902) can reduce 881 to:
% 18.49/4.96 | (172) $false
% 18.49/4.96 |
% 18.49/4.96 |-The branch is then unsatisfiable
% 18.49/4.96 |-Branch two:
% 18.49/4.96 | (881) ~ (all_0_22_22 = e3)
% 18.49/4.96 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 18.49/4.96 |
% 18.49/4.96 +-Applying beta-rule and splitting (905), into two cases.
% 18.49/4.96 |-Branch one:
% 18.49/4.96 | (725) all_0_22_22 = e2
% 18.49/4.96 |
% 18.49/4.96 | Equations (725) can reduce 933 to:
% 18.49/4.96 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (933) ~ (all_0_22_22 = e2)
% 18.49/4.97 | (934) all_0_22_22 = e1 | all_0_22_22 = e0
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (934), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (291) all_0_22_22 = e1
% 18.49/4.97 |
% 18.49/4.97 | Equations (291) can reduce 699 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (699) ~ (all_0_22_22 = e1)
% 18.49/4.97 | (296) all_0_22_22 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (296) can reduce 188 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.49/4.97 |
% 18.49/4.97 | Applying alpha-rule on (284) yields:
% 18.49/4.97 | (285) all_0_15_15 = e0
% 18.49/4.97 | (286) all_0_21_21 = e0
% 18.49/4.97 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.97 |
% 18.49/4.97 | Equations (286) can reduce 187 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.49/4.97 |
% 18.49/4.97 | Applying alpha-rule on (289) yields:
% 18.49/4.97 | (290) all_0_19_19 = e1
% 18.49/4.97 | (291) all_0_22_22 = e1
% 18.49/4.97 | (262) ~ (all_0_23_23 = e0)
% 18.49/4.97 |
% 18.49/4.97 | Equations (291) can reduce 699 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.49/4.97 |
% 18.49/4.97 | Applying alpha-rule on (294) yields:
% 18.49/4.97 | (295) all_0_19_19 = e0
% 18.49/4.97 | (296) all_0_22_22 = e0
% 18.49/4.97 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.97 |
% 18.49/4.97 | Combining equations (295,290) yields a new equation:
% 18.49/4.97 | (372) e1 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (372) can reduce 90 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (394) ~ (all_0_10_10 = e1)
% 18.49/4.97 | (410) all_0_10_10 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (410) can reduce 599 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (3820) all_0_2_2 = e2
% 18.49/4.97 | (3821) ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e0)
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (3821), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (3822) ~ (all_0_3_3 = e3)
% 18.49/4.97 |
% 18.49/4.97 | Equations (3695) can reduce 3822 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (3695) all_0_3_3 = e3
% 18.49/4.97 | (215) ~ (all_0_18_18 = e0)
% 18.49/4.97 |
% 18.49/4.97 | Equations (300) can reduce 215 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (660) ~ (all_0_12_12 = e1)
% 18.49/4.97 | (895) all_0_16_16 = e1 | all_0_20_20 = e1
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (895), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (256) all_0_16_16 = e1
% 18.49/4.97 |
% 18.49/4.97 | Combining equations (666,256) yields a new equation:
% 18.49/4.97 | (716) e2 = e1
% 18.49/4.97 |
% 18.49/4.97 | Simplifying 716 yields:
% 18.49/4.97 | (388) e2 = e1
% 18.49/4.97 |
% 18.49/4.97 | Equations (388) can reduce 49 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (227) ~ (all_0_16_16 = e1)
% 18.49/4.97 | (691) all_0_20_20 = e1
% 18.49/4.97 |
% 18.49/4.97 | Combining equations (266,691) yields a new equation:
% 18.49/4.97 | (372) e1 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (372) can reduce 90 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (416) ~ (all_0_17_17 = e3)
% 18.49/4.97 | (2068) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (2068), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (271) all_0_17_17 = e2
% 18.49/4.97 |
% 18.49/4.97 | Equations (271) can reduce 1004 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (1004) ~ (all_0_17_17 = e2)
% 18.49/4.97 | (2072) all_0_17_17 = e1 | all_0_17_17 = e0
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (2072), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (276) all_0_17_17 = e1
% 18.49/4.97 |
% 18.49/4.97 | Equations (276) can reduce 228 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (228) ~ (all_0_17_17 = e1)
% 18.49/4.97 | (482) all_0_17_17 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (482) can reduce 486 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (444) ~ (all_0_14_14 = e3)
% 18.49/4.97 | (915) all_0_18_18 = e3 | all_0_22_22 = e3
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (133), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (240) all_0_9_9 = e3
% 18.49/4.97 |
% 18.49/4.97 | Equations (240) can reduce 200 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (200) ~ (all_0_9_9 = e3)
% 18.49/4.97 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (319), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (336) all_0_13_13 = e3
% 18.49/4.97 |
% 18.49/4.97 | Equations (336) can reduce 216 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (216) ~ (all_0_13_13 = e3)
% 18.49/4.97 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (402), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (413) all_0_17_17 = e3
% 18.49/4.97 |
% 18.49/4.97 | Equations (413) can reduce 486 to:
% 18.49/4.97 | (107) ~ (e3 = e0)
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (915), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (218) all_0_18_18 = e3
% 18.49/4.97 |
% 18.49/4.97 | Combining equations (300,218) yields a new equation:
% 18.49/4.97 | (365) e3 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (365) can reduce 107 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (214) ~ (all_0_18_18 = e3)
% 18.49/4.97 | (902) all_0_22_22 = e3
% 18.49/4.97 |
% 18.49/4.97 | Equations (902) can reduce 881 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (416) ~ (all_0_17_17 = e3)
% 18.49/4.97 | (417) all_0_21_21 = e3
% 18.49/4.97 |
% 18.49/4.97 | Equations (417) can reduce 1618 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (336) all_0_13_13 = e3
% 18.49/4.97 | (246) all_0_12_12 = e2
% 18.49/4.97 |
% 18.49/4.97 | Equations (246) can reduce 711 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (854) ~ (all_0_16_16 = e2)
% 18.49/4.97 | (855) all_0_16_16 = e1 | all_0_16_16 = e0
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (855), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (256) all_0_16_16 = e1
% 18.49/4.97 |
% 18.49/4.97 | Equations (256) can reduce 227 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (227) ~ (all_0_16_16 = e1)
% 18.49/4.97 | (320) all_0_16_16 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (320) can reduce 480 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (222) all_0_18_18 = e2
% 18.49/4.97 | (276) all_0_17_17 = e1
% 18.49/4.97 |
% 18.49/4.97 | Equations (276) can reduce 148 to:
% 18.49/4.97 | (227) ~ (all_0_16_16 = e1)
% 18.49/4.97 |
% 18.49/4.97 | Equations (222) can reduce 108 to:
% 18.49/4.97 | (854) ~ (all_0_16_16 = e2)
% 18.49/4.97 |
% 18.49/4.97 | Equations (222) can reduce 123 to:
% 18.49/4.97 | (313) ~ (all_0_19_19 = e2)
% 18.49/4.97 |
% 18.49/4.97 | Simplifying 313 yields:
% 18.49/4.97 | (314) ~ (all_0_19_19 = e2)
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (20), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (251) all_0_16_16 = e3
% 18.49/4.97 |
% 18.49/4.97 | Equations (251) can reduce 208 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (208) ~ (all_0_16_16 = e3)
% 18.49/4.97 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (132), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (687) all_0_20_20 = e2
% 18.49/4.97 |
% 18.49/4.97 | Combining equations (687,266) yields a new equation:
% 18.49/4.97 | (489) e2 = e0
% 18.49/4.97 |
% 18.49/4.97 | Simplifying 489 yields:
% 18.49/4.97 | (490) e2 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (490) can reduce 137 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (668) ~ (all_0_20_20 = e2)
% 18.49/4.97 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 18.49/4.97 |
% 18.49/4.97 | Equations (266) can reduce 668 to:
% 18.49/4.97 | (191) ~ (e2 = e0)
% 18.49/4.97 |
% 18.49/4.97 | Simplifying 191 yields:
% 18.49/4.97 | (137) ~ (e2 = e0)
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (54), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (320) all_0_16_16 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (320) can reduce 480 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (480) ~ (all_0_16_16 = e0)
% 18.49/4.97 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (481), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (482) all_0_17_17 = e0
% 18.49/4.97 |
% 18.49/4.97 | Combining equations (482,276) yields a new equation:
% 18.49/4.97 | (372) e1 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (372) can reduce 90 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (486) ~ (all_0_17_17 = e0)
% 18.49/4.97 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (487), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (300) all_0_18_18 = e0
% 18.49/4.97 |
% 18.49/4.97 | Combining equations (222,300) yields a new equation:
% 18.49/4.97 | (489) e2 = e0
% 18.49/4.97 |
% 18.49/4.97 | Simplifying 489 yields:
% 18.49/4.97 | (490) e2 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (490) can reduce 137 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (215) ~ (all_0_18_18 = e0)
% 18.49/4.97 | (295) all_0_19_19 = e0
% 18.49/4.97 |
% 18.49/4.97 | Equations (295) can reduce 115 to:
% 18.49/4.97 | (183) ~ (all_0_11_11 = e0)
% 18.49/4.97 |
% 18.49/4.97 | Equations (295) can reduce 149 to:
% 18.49/4.97 | (184) ~ (all_0_15_15 = e0)
% 18.49/4.97 |
% 18.49/4.97 | Equations (295) can reduce 314 to:
% 18.49/4.97 | (191) ~ (e2 = e0)
% 18.49/4.97 |
% 18.49/4.97 | Simplifying 191 yields:
% 18.49/4.97 | (137) ~ (e2 = e0)
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (99), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (1100) all_0_8_8 = e2
% 18.49/4.97 |
% 18.49/4.97 | Combining equations (1100,198) yields a new equation:
% 18.49/4.97 | (533) e3 = e2
% 18.49/4.97 |
% 18.49/4.97 | Equations (533) can reduce 69 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (196) ~ (all_0_8_8 = e2)
% 18.49/4.97 | (3271) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (3271), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (246) all_0_12_12 = e2
% 18.49/4.97 |
% 18.49/4.97 | Equations (246) can reduce 112 to:
% 18.49/4.97 | (3922) ~ (all_0_13_13 = e2)
% 18.49/4.97 |
% 18.49/4.97 | Simplifying 3922 yields:
% 18.49/4.97 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.97 |
% 18.49/4.97 | Equations (246) can reduce 162 to:
% 18.49/4.97 | (2533) ~ (all_0_15_15 = e2)
% 18.49/4.97 |
% 18.49/4.97 | Simplifying 2533 yields:
% 18.49/4.97 | (1585) ~ (all_0_15_15 = e2)
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (30), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (511) ~ (all_0_13_13 = e0)
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (28), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (419) all_0_15_15 = e3
% 18.49/4.97 |
% 18.49/4.97 | Equations (419) can reduce 329 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (329) ~ (all_0_15_15 = e3)
% 18.49/4.97 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (422), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (280) all_0_15_15 = e2
% 18.49/4.97 |
% 18.49/4.97 | Equations (280) can reduce 1585 to:
% 18.49/4.97 | (172) $false
% 18.49/4.97 |
% 18.49/4.97 |-The branch is then unsatisfiable
% 18.49/4.97 |-Branch two:
% 18.49/4.97 | (1585) ~ (all_0_15_15 = e2)
% 18.49/4.97 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (1586), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (836) all_0_15_15 = e1
% 18.49/4.97 |
% 18.49/4.97 | Equations (836) can reduce 84 to:
% 18.49/4.97 | (167) ~ (all_0_13_13 = e1)
% 18.49/4.97 |
% 18.49/4.97 | Equations (836) can reduce 50 to:
% 18.49/4.97 | (835) ~ (all_0_14_14 = e1)
% 18.49/4.97 |
% 18.49/4.97 | Equations (836) can reduce 1585 to:
% 18.49/4.97 | (307) ~ (e2 = e1)
% 18.49/4.97 |
% 18.49/4.97 | Simplifying 307 yields:
% 18.49/4.97 | (49) ~ (e2 = e1)
% 18.49/4.97 |
% 18.49/4.97 | Equations (836) can reduce 184 to:
% 18.49/4.97 | (90) ~ (e1 = e0)
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (25), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (336) all_0_13_13 = e3
% 18.49/4.97 |
% 18.49/4.97 | Equations (336) can reduce 242 to:
% 18.49/4.97 | (69) ~ (e3 = e2)
% 18.49/4.97 |
% 18.49/4.97 | Equations (336) can reduce 511 to:
% 18.49/4.97 | (107) ~ (e3 = e0)
% 18.49/4.97 |
% 18.49/4.97 +-Applying beta-rule and splitting (152), into two cases.
% 18.49/4.97 |-Branch one:
% 18.49/4.97 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (229), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (230), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (231), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (232), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (233), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (234), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (235), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (236), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (237), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (238), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (239) yields:
% 18.49/4.98 | (240) all_0_9_9 = e3
% 18.49/4.98 | (241) all_0_12_12 = e3
% 18.49/4.98 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.98 |
% 18.49/4.98 | Combining equations (246,241) yields a new equation:
% 18.49/4.98 | (533) e3 = e2
% 18.49/4.98 |
% 18.49/4.98 | Equations (533) can reduce 69 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (244) yields:
% 18.49/4.98 | (245) all_0_9_9 = e2
% 18.49/4.98 | (246) all_0_12_12 = e2
% 18.49/4.98 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.98 |
% 18.49/4.98 | Equations (198) can reduce 247 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (249) yields:
% 18.49/4.98 | (250) all_0_10_10 = e3
% 18.49/4.98 | (251) all_0_16_16 = e3
% 18.49/4.98 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Equations (251) can reduce 208 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (254) yields:
% 18.49/4.98 | (255) all_0_10_10 = e1
% 18.49/4.98 | (256) all_0_16_16 = e1
% 18.49/4.98 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.98 |
% 18.49/4.98 | Equations (256) can reduce 227 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (259) yields:
% 18.49/4.98 | (260) all_0_11_11 = e3
% 18.49/4.98 | (261) all_0_20_20 = e3
% 18.49/4.98 | (262) ~ (all_0_23_23 = e0)
% 18.49/4.98 |
% 18.49/4.98 | Combining equations (266,261) yields a new equation:
% 18.49/4.98 | (365) e3 = e0
% 18.49/4.98 |
% 18.49/4.98 | Equations (365) can reduce 107 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (264) yields:
% 18.49/4.98 | (265) all_0_11_11 = e0
% 18.49/4.98 | (266) all_0_20_20 = e0
% 18.49/4.98 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.98 |
% 18.49/4.98 | Equations (265) can reduce 183 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (269) yields:
% 18.49/4.98 | (270) all_0_14_14 = e2
% 18.49/4.98 | (271) all_0_17_17 = e2
% 18.49/4.98 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Combining equations (276,271) yields a new equation:
% 18.49/4.98 | (388) e2 = e1
% 18.49/4.98 |
% 18.49/4.98 | Equations (388) can reduce 49 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (274) yields:
% 18.49/4.98 | (275) all_0_14_14 = e1
% 18.49/4.98 | (276) all_0_17_17 = e1
% 18.49/4.98 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.98 |
% 18.49/4.98 | Equations (275) can reduce 835 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (279) yields:
% 18.49/4.98 | (280) all_0_15_15 = e2
% 18.49/4.98 | (281) all_0_21_21 = e2
% 18.49/4.98 | (262) ~ (all_0_23_23 = e0)
% 18.49/4.98 |
% 18.49/4.98 | Combining equations (280,836) yields a new equation:
% 18.49/4.98 | (716) e2 = e1
% 18.49/4.98 |
% 18.49/4.98 | Simplifying 716 yields:
% 18.49/4.98 | (388) e2 = e1
% 18.49/4.98 |
% 18.49/4.98 | Equations (388) can reduce 49 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (284) yields:
% 18.49/4.98 | (285) all_0_15_15 = e0
% 18.49/4.98 | (286) all_0_21_21 = e0
% 18.49/4.98 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.98 |
% 18.49/4.98 | Combining equations (285,836) yields a new equation:
% 18.49/4.98 | (372) e1 = e0
% 18.49/4.98 |
% 18.49/4.98 | Equations (372) can reduce 90 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (289) yields:
% 18.49/4.98 | (290) all_0_19_19 = e1
% 18.49/4.98 | (291) all_0_22_22 = e1
% 18.49/4.98 | (262) ~ (all_0_23_23 = e0)
% 18.49/4.98 |
% 18.49/4.98 | Combining equations (295,290) yields a new equation:
% 18.49/4.98 | (372) e1 = e0
% 18.49/4.98 |
% 18.49/4.98 | Equations (372) can reduce 90 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Applying alpha-rule on (294) yields:
% 18.49/4.98 | (295) all_0_19_19 = e0
% 18.49/4.98 | (296) all_0_22_22 = e0
% 18.49/4.98 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Equations (296) can reduce 188 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (216) ~ (all_0_13_13 = e3)
% 18.49/4.98 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (1157), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (727) all_0_13_13 = e2
% 18.49/4.98 |
% 18.49/4.98 | Equations (727) can reduce 242 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.98 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (2338), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (679) all_0_13_13 = e1
% 18.49/4.98 |
% 18.49/4.98 | Equations (679) can reduce 167 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (167) ~ (all_0_13_13 = e1)
% 18.49/4.98 | (507) all_0_13_13 = e0
% 18.49/4.98 |
% 18.49/4.98 | Equations (507) can reduce 511 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (602) ~ (all_0_15_15 = e1)
% 18.49/4.98 | (285) all_0_15_15 = e0
% 18.49/4.98 |
% 18.49/4.98 | Equations (285) can reduce 184 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (507) all_0_13_13 = e0
% 18.49/4.98 | (280) all_0_15_15 = e2
% 18.49/4.98 |
% 18.49/4.98 | Equations (280) can reduce 1585 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (711) ~ (all_0_12_12 = e2)
% 18.49/4.98 | (3275) all_0_16_16 = e2 | all_0_20_20 = e2
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (3275), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (666) all_0_16_16 = e2
% 18.49/4.98 |
% 18.49/4.98 | Equations (666) can reduce 854 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (854) ~ (all_0_16_16 = e2)
% 18.49/4.98 | (687) all_0_20_20 = e2
% 18.49/4.98 |
% 18.49/4.98 | Combining equations (266,687) yields a new equation:
% 18.49/4.98 | (490) e2 = e0
% 18.49/4.98 |
% 18.49/4.98 | Equations (490) can reduce 137 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.98 | (1099) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (1099), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (1100) all_0_8_8 = e2
% 18.49/4.98 |
% 18.49/4.98 | Equations (1100) can reduce 196 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (196) ~ (all_0_8_8 = e2)
% 18.49/4.98 | (1103) all_0_8_8 = e1 | all_0_8_8 = e0
% 18.49/4.98 |
% 18.49/4.98 +-Applying beta-rule and splitting (1103), into two cases.
% 18.49/4.98 |-Branch one:
% 18.49/4.98 | (423) all_0_8_8 = e1
% 18.49/4.98 |
% 18.49/4.98 | Equations (423) can reduce 195 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (195) ~ (all_0_8_8 = e1)
% 18.49/4.98 | (613) all_0_8_8 = e0
% 18.49/4.98 |
% 18.49/4.98 | Equations (613) can reduce 197 to:
% 18.49/4.98 | (172) $false
% 18.49/4.98 |
% 18.49/4.98 |-The branch is then unsatisfiable
% 18.49/4.98 |-Branch two:
% 18.49/4.98 | (423) all_0_8_8 = e1
% 18.49/4.98 | (250) all_0_10_10 = e3
% 18.49/4.98 |
% 18.49/4.98 | Combining equations (423,2999) yields a new equation:
% 18.49/4.98 | (4059) all_0_1_1 = e1
% 18.49/4.98 |
% 18.49/4.98 | Equations (423) can reduce 113 to:
% 18.49/4.98 | (2485) ~ (all_0_9_9 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Simplifying 2485 yields:
% 18.49/4.98 | (304) ~ (all_0_9_9 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Equations (423) can reduce 35 to:
% 18.49/4.98 | (2491) ~ (all_0_12_12 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Simplifying 2491 yields:
% 18.49/4.98 | (660) ~ (all_0_12_12 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Equations (423) can reduce 104 to:
% 18.49/4.98 | (2493) ~ (all_0_16_16 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Simplifying 2493 yields:
% 18.49/4.98 | (227) ~ (all_0_16_16 = e1)
% 18.49/4.98 |
% 18.49/4.98 | Equations (423) can reduce 196 to:
% 18.49/4.99 | (307) ~ (e2 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 307 yields:
% 18.49/4.99 | (49) ~ (e2 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Equations (423) can reduce 197 to:
% 18.49/4.99 | (90) ~ (e1 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Equations (250) can reduce 79 to:
% 18.49/4.99 | (200) ~ (all_0_9_9 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Equations (250) can reduce 52 to:
% 18.49/4.99 | (203) ~ (all_0_11_11 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 203 yields:
% 18.49/4.99 | (204) ~ (all_0_11_11 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Equations (250) can reduce 65 to:
% 18.49/4.99 | (3148) ~ (all_0_14_14 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 3148 yields:
% 18.49/4.99 | (444) ~ (all_0_14_14 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Equations (250) can reduce 42 to:
% 18.49/4.99 | (2567) ~ (all_0_18_18 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 2567 yields:
% 18.49/4.99 | (214) ~ (all_0_18_18 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Equations (250) can reduce 145 to:
% 18.49/4.99 | (880) ~ (all_0_22_22 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 880 yields:
% 18.49/4.99 | (881) ~ (all_0_22_22 = e3)
% 18.49/4.99 |
% 18.49/4.99 | From (423) and (3000) follows:
% 18.49/4.99 | (4078) op(e1, e0) = all_0_0_0
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (111), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (4079) ~ (all_0_0_0 = e2)
% 18.49/4.99 |
% 18.49/4.99 | Instantiating formula (143) with e1, e0, all_0_0_0, all_0_19_19 and discharging atoms op(e1, e0) = all_0_0_0, op(e1, e0) = all_0_19_19, yields:
% 18.49/4.99 | (4080) all_0_0_0 = all_0_19_19
% 18.49/4.99 |
% 18.49/4.99 | Equations (4080) can reduce 4079 to:
% 18.49/4.99 | (314) ~ (all_0_19_19 = e2)
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (77), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (215) ~ (all_0_18_18 = e0)
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (110), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (410) all_0_10_10 = e0
% 18.49/4.99 |
% 18.49/4.99 | Combining equations (250,410) yields a new equation:
% 18.49/4.99 | (364) e3 = e0
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 364 yields:
% 18.49/4.99 | (365) e3 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (365) can reduce 107 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (599) ~ (all_0_10_10 = e0)
% 18.49/4.99 | (1145) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (1145), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (513) all_0_14_14 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (513) can reduce 127 to:
% 18.49/4.99 | (505) ~ (all_0_12_12 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Equations (513) can reduce 50 to:
% 18.49/4.99 | (1149) ~ (all_0_15_15 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 1149 yields:
% 18.49/4.99 | (184) ~ (all_0_15_15 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Equations (513) can reduce 21 to:
% 18.49/4.99 | (1136) ~ (all_0_18_18 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 1136 yields:
% 18.49/4.99 | (215) ~ (all_0_18_18 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Equations (513) can reduce 81 to:
% 18.49/4.99 | (514) ~ (all_0_22_22 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 514 yields:
% 18.49/4.99 | (188) ~ (all_0_22_22 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Equations (513) can reduce 444 to:
% 18.49/4.99 | (189) ~ (e3 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 189 yields:
% 18.49/4.99 | (107) ~ (e3 = e0)
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (96), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (657) all_0_12_12 = e1
% 18.49/4.99 |
% 18.49/4.99 | Equations (657) can reduce 660 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (660) ~ (all_0_12_12 = e1)
% 18.49/4.99 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (661), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (679) all_0_13_13 = e1
% 18.49/4.99 |
% 18.49/4.99 | Equations (679) can reduce 167 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (167) ~ (all_0_13_13 = e1)
% 18.49/4.99 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (682), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (275) all_0_14_14 = e1
% 18.49/4.99 |
% 18.49/4.99 | Combining equations (513,275) yields a new equation:
% 18.49/4.99 | (372) e1 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (372) can reduce 90 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (835) ~ (all_0_14_14 = e1)
% 18.49/4.99 | (836) all_0_15_15 = e1
% 18.49/4.99 |
% 18.49/4.99 | Equations (836) can reduce 98 to:
% 18.49/4.99 | (600) ~ (all_0_11_11 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Equations (836) can reduce 162 to:
% 18.49/4.99 | (660) ~ (all_0_12_12 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Equations (836) can reduce 84 to:
% 18.49/4.99 | (167) ~ (all_0_13_13 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Equations (836) can reduce 149 to:
% 18.49/4.99 | (309) ~ (all_0_19_19 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 309 yields:
% 18.49/4.99 | (310) ~ (all_0_19_19 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Equations (836) can reduce 329 to:
% 18.49/4.99 | (438) ~ (e3 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 438 yields:
% 18.49/4.99 | (147) ~ (e3 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Equations (836) can reduce 184 to:
% 18.49/4.99 | (90) ~ (e1 = e0)
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (122), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (635) all_0_11_11 = e2
% 18.49/4.99 |
% 18.49/4.99 | Equations (635) can reduce 115 to:
% 18.49/4.99 | (313) ~ (all_0_19_19 = e2)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 313 yields:
% 18.49/4.99 | (314) ~ (all_0_19_19 = e2)
% 18.49/4.99 |
% 18.49/4.99 | Equations (635) can reduce 600 to:
% 18.49/4.99 | (49) ~ (e2 = e1)
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (70), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (613) all_0_8_8 = e0
% 18.49/4.99 |
% 18.49/4.99 | Combining equations (613,423) yields a new equation:
% 18.49/4.99 | (372) e1 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (372) can reduce 90 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (197) ~ (all_0_8_8 = e0)
% 18.49/4.99 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (617), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (672) all_0_9_9 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (672) can reduce 13 to:
% 18.49/4.99 | (3255) ~ (all_0_17_17 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 3255 yields:
% 18.49/4.99 | (486) ~ (all_0_17_17 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Equations (672) can reduce 17 to:
% 18.49/4.99 | (991) ~ (all_0_21_21 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 991 yields:
% 18.49/4.99 | (187) ~ (all_0_21_21 = e0)
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (54), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (320) all_0_16_16 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (320) can reduce 480 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (480) ~ (all_0_16_16 = e0)
% 18.49/4.99 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (481), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (482) all_0_17_17 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (482) can reduce 486 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (486) ~ (all_0_17_17 = e0)
% 18.49/4.99 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (487), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (300) all_0_18_18 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (300) can reduce 215 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (215) ~ (all_0_18_18 = e0)
% 18.49/4.99 | (295) all_0_19_19 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (295) can reduce 32 to:
% 18.49/4.99 | (480) ~ (all_0_16_16 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Equations (295) can reduce 469 to:
% 18.49/4.99 | (189) ~ (e3 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 189 yields:
% 18.49/4.99 | (107) ~ (e3 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Equations (295) can reduce 314 to:
% 18.49/4.99 | (191) ~ (e2 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 191 yields:
% 18.49/4.99 | (137) ~ (e2 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Equations (295) can reduce 310 to:
% 18.49/4.99 | (193) ~ (e1 = e0)
% 18.49/4.99 |
% 18.49/4.99 | Simplifying 193 yields:
% 18.49/4.99 | (90) ~ (e1 = e0)
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (152), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (229), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (230), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (231), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (232), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (233), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (234), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (235), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (236), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (237), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.49/4.99 |
% 18.49/4.99 +-Applying beta-rule and splitting (238), into two cases.
% 18.49/4.99 |-Branch one:
% 18.49/4.99 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.49/4.99 |
% 18.49/4.99 | Applying alpha-rule on (239) yields:
% 18.49/4.99 | (240) all_0_9_9 = e3
% 18.49/4.99 | (241) all_0_12_12 = e3
% 18.49/4.99 | (242) ~ (all_0_13_13 = e2)
% 18.49/4.99 |
% 18.49/4.99 | Combining equations (672,240) yields a new equation:
% 18.49/4.99 | (365) e3 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (365) can reduce 107 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Applying alpha-rule on (244) yields:
% 18.49/4.99 | (245) all_0_9_9 = e2
% 18.49/4.99 | (246) all_0_12_12 = e2
% 18.49/4.99 | (247) ~ (all_0_8_8 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Combining equations (672,245) yields a new equation:
% 18.49/4.99 | (490) e2 = e0
% 18.49/4.99 |
% 18.49/4.99 | Equations (490) can reduce 137 to:
% 18.49/4.99 | (172) $false
% 18.49/4.99 |
% 18.49/4.99 |-The branch is then unsatisfiable
% 18.49/4.99 |-Branch two:
% 18.49/4.99 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Applying alpha-rule on (249) yields:
% 18.49/4.99 | (250) all_0_10_10 = e3
% 18.49/4.99 | (251) all_0_16_16 = e3
% 18.49/4.99 | (252) ~ (all_0_18_18 = e1)
% 18.49/4.99 |
% 18.49/4.99 | Equations (251) can reduce 71 to:
% 18.49/4.99 | (206) ~ (all_0_12_12 = e3)
% 18.49/4.99 |
% 18.49/4.99 | Equations (251) can reduce 148 to:
% 18.49/5.00 | (1615) ~ (all_0_17_17 = e3)
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 1615 yields:
% 18.49/5.00 | (416) ~ (all_0_17_17 = e3)
% 18.49/5.00 |
% 18.49/5.00 | Equations (251) can reduce 227 to:
% 18.49/5.00 | (147) ~ (e3 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Equations (251) can reduce 480 to:
% 18.49/5.00 | (107) ~ (e3 = e0)
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (89), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (241) all_0_12_12 = e3
% 18.49/5.00 |
% 18.49/5.00 | Equations (241) can reduce 206 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (206) ~ (all_0_12_12 = e3)
% 18.49/5.00 | (2185) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (56), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (256) all_0_16_16 = e1
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (251,256) yields a new equation:
% 18.49/5.00 | (441) e3 = e1
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 441 yields:
% 18.49/5.00 | (414) e3 = e1
% 18.49/5.00 |
% 18.49/5.00 | Equations (414) can reduce 147 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (227) ~ (all_0_16_16 = e1)
% 18.49/5.00 | (4193) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (4193), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (276) all_0_17_17 = e1
% 18.49/5.00 |
% 18.49/5.00 | Equations (276) can reduce 121 to:
% 18.49/5.00 | (4195) ~ (all_0_18_18 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 4195 yields:
% 18.49/5.00 | (252) ~ (all_0_18_18 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Equations (276) can reduce 154 to:
% 18.49/5.00 | (311) ~ (all_0_21_21 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 311 yields:
% 18.49/5.00 | (312) ~ (all_0_21_21 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Equations (276) can reduce 416 to:
% 18.49/5.00 | (438) ~ (e3 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 438 yields:
% 18.49/5.00 | (147) ~ (e3 = e1)
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (134), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (417) all_0_21_21 = e3
% 18.49/5.00 |
% 18.49/5.00 | Equations (417) can reduce 1618 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (1618) ~ (all_0_21_21 = e3)
% 18.49/5.00 | (4204) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (4204), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (281) all_0_21_21 = e2
% 18.49/5.00 |
% 18.49/5.00 | Equations (281) can reduce 1618 to:
% 18.49/5.00 | (499) ~ (e3 = e2)
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 499 yields:
% 18.49/5.00 | (69) ~ (e3 = e2)
% 18.49/5.00 |
% 18.49/5.00 | Equations (281) can reduce 312 to:
% 18.49/5.00 | (49) ~ (e2 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Equations (281) can reduce 187 to:
% 18.49/5.00 | (137) ~ (e2 = e0)
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (43), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (246) all_0_12_12 = e2
% 18.49/5.00 |
% 18.49/5.00 | Equations (246) can reduce 112 to:
% 18.49/5.00 | (3922) ~ (all_0_13_13 = e2)
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 3922 yields:
% 18.49/5.00 | (242) ~ (all_0_13_13 = e2)
% 18.49/5.00 |
% 18.49/5.00 | Equations (246) can reduce 206 to:
% 18.49/5.00 | (499) ~ (e3 = e2)
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 499 yields:
% 18.49/5.00 | (69) ~ (e3 = e2)
% 18.49/5.00 |
% 18.49/5.00 | Equations (246) can reduce 660 to:
% 18.49/5.00 | (49) ~ (e2 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Equations (246) can reduce 505 to:
% 18.49/5.00 | (137) ~ (e2 = e0)
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (51), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (198) all_0_8_8 = e3
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (198,423) yields a new equation:
% 18.49/5.00 | (441) e3 = e1
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 441 yields:
% 18.49/5.00 | (414) e3 = e1
% 18.49/5.00 |
% 18.49/5.00 | Equations (414) can reduce 147 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (247) ~ (all_0_8_8 = e3)
% 18.49/5.00 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (19), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (666) all_0_16_16 = e2
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (666,251) yields a new equation:
% 18.49/5.00 | (533) e3 = e2
% 18.49/5.00 |
% 18.49/5.00 | Equations (533) can reduce 69 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (854) ~ (all_0_16_16 = e2)
% 18.49/5.00 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (1000), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (271) all_0_17_17 = e2
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (276,271) yields a new equation:
% 18.49/5.00 | (388) e2 = e1
% 18.49/5.00 |
% 18.49/5.00 | Equations (388) can reduce 49 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (1004) ~ (all_0_17_17 = e2)
% 18.49/5.00 | (1005) all_0_18_18 = e2 | all_0_19_19 = e2
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (1005), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (222) all_0_18_18 = e2
% 18.49/5.00 |
% 18.49/5.00 | Equations (222) can reduce 252 to:
% 18.49/5.00 | (49) ~ (e2 = e1)
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (4222), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (727) all_0_13_13 = e2
% 18.49/5.00 |
% 18.49/5.00 | Equations (727) can reduce 242 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (242) ~ (all_0_13_13 = e2)
% 18.49/5.00 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (4238), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (226) all_0_18_18 = e1
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (222,226) yields a new equation:
% 18.49/5.00 | (716) e2 = e1
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 716 yields:
% 18.49/5.00 | (388) e2 = e1
% 18.49/5.00 |
% 18.49/5.00 | Equations (388) can reduce 49 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (252) ~ (all_0_18_18 = e1)
% 18.49/5.00 | (182) all_0_23_23 = e0
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (182,171) yields a new equation:
% 18.49/5.00 | (365) e3 = e0
% 18.49/5.00 |
% 18.49/5.00 | Equations (365) can reduce 107 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (217) ~ (all_0_18_18 = e2)
% 18.49/5.00 | (471) all_0_19_19 = e2
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (295,471) yields a new equation:
% 18.49/5.00 | (490) e2 = e0
% 18.49/5.00 |
% 18.49/5.00 | Equations (490) can reduce 137 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (711) ~ (all_0_12_12 = e2)
% 18.49/5.00 | (712) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (99), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (1100) all_0_8_8 = e2
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (1100,423) yields a new equation:
% 18.49/5.00 | (716) e2 = e1
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 716 yields:
% 18.49/5.00 | (388) e2 = e1
% 18.49/5.00 |
% 18.49/5.00 | Equations (388) can reduce 49 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (196) ~ (all_0_8_8 = e2)
% 18.49/5.00 | (3271) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (3271), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (246) all_0_12_12 = e2
% 18.49/5.00 |
% 18.49/5.00 | Equations (246) can reduce 711 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (711) ~ (all_0_12_12 = e2)
% 18.49/5.00 | (3275) all_0_16_16 = e2 | all_0_20_20 = e2
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (3275), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (666) all_0_16_16 = e2
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (251,666) yields a new equation:
% 18.49/5.00 | (532) e3 = e2
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 532 yields:
% 18.49/5.00 | (533) e3 = e2
% 18.49/5.00 |
% 18.49/5.00 | Equations (533) can reduce 69 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (854) ~ (all_0_16_16 = e2)
% 18.49/5.00 | (687) all_0_20_20 = e2
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (266,687) yields a new equation:
% 18.49/5.00 | (490) e2 = e0
% 18.49/5.00 |
% 18.49/5.00 | Equations (490) can reduce 137 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (1811) ~ (all_0_21_21 = e2)
% 18.49/5.00 | (4272) all_0_21_21 = e1 | all_0_21_21 = e0
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (4272), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (1292) all_0_21_21 = e1
% 18.49/5.00 |
% 18.49/5.00 | Equations (1292) can reduce 312 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (312) ~ (all_0_21_21 = e1)
% 18.49/5.00 | (286) all_0_21_21 = e0
% 18.49/5.00 |
% 18.49/5.00 | Equations (286) can reduce 187 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (228) ~ (all_0_17_17 = e1)
% 18.49/5.00 | (4279) all_0_18_18 = e1 | all_0_19_19 = e1
% 18.49/5.00 |
% 18.49/5.00 +-Applying beta-rule and splitting (4279), into two cases.
% 18.49/5.00 |-Branch one:
% 18.49/5.00 | (226) all_0_18_18 = e1
% 18.49/5.00 |
% 18.49/5.00 | Equations (226) can reduce 252 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (252) ~ (all_0_18_18 = e1)
% 18.49/5.00 | (290) all_0_19_19 = e1
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (290,295) yields a new equation:
% 18.49/5.00 | (371) e1 = e0
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 371 yields:
% 18.49/5.00 | (372) e1 = e0
% 18.49/5.00 |
% 18.49/5.00 | Equations (372) can reduce 90 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.49/5.00 |
% 18.49/5.00 | Applying alpha-rule on (254) yields:
% 18.49/5.00 | (255) all_0_10_10 = e1
% 18.49/5.00 | (256) all_0_16_16 = e1
% 18.49/5.00 | (247) ~ (all_0_8_8 = e3)
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (255,250) yields a new equation:
% 18.49/5.00 | (414) e3 = e1
% 18.49/5.00 |
% 18.49/5.00 | Equations (414) can reduce 147 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.49/5.00 |
% 18.49/5.00 | Applying alpha-rule on (259) yields:
% 18.49/5.00 | (260) all_0_11_11 = e3
% 18.49/5.00 | (261) all_0_20_20 = e3
% 18.49/5.00 | (262) ~ (all_0_23_23 = e0)
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (260,635) yields a new equation:
% 18.49/5.00 | (532) e3 = e2
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 532 yields:
% 18.49/5.00 | (533) e3 = e2
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (261,266) yields a new equation:
% 18.49/5.00 | (364) e3 = e0
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 364 yields:
% 18.49/5.00 | (365) e3 = e0
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (533,365) yields a new equation:
% 18.49/5.00 | (489) e2 = e0
% 18.49/5.00 |
% 18.49/5.00 | Simplifying 489 yields:
% 18.49/5.00 | (490) e2 = e0
% 18.49/5.00 |
% 18.49/5.00 | Equations (490) can reduce 137 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.49/5.00 |
% 18.49/5.00 | Applying alpha-rule on (264) yields:
% 18.49/5.00 | (265) all_0_11_11 = e0
% 18.49/5.00 | (266) all_0_20_20 = e0
% 18.49/5.00 | (247) ~ (all_0_8_8 = e3)
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (265,635) yields a new equation:
% 18.49/5.00 | (490) e2 = e0
% 18.49/5.00 |
% 18.49/5.00 | Equations (490) can reduce 137 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Applying alpha-rule on (269) yields:
% 18.49/5.00 | (270) all_0_14_14 = e2
% 18.49/5.00 | (271) all_0_17_17 = e2
% 18.49/5.00 | (252) ~ (all_0_18_18 = e1)
% 18.49/5.00 |
% 18.49/5.00 | Combining equations (513,270) yields a new equation:
% 18.49/5.00 | (490) e2 = e0
% 18.49/5.00 |
% 18.49/5.00 | Equations (490) can reduce 137 to:
% 18.49/5.00 | (172) $false
% 18.49/5.00 |
% 18.49/5.00 |-The branch is then unsatisfiable
% 18.49/5.00 |-Branch two:
% 18.49/5.00 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.49/5.00 |
% 18.49/5.00 | Applying alpha-rule on (274) yields:
% 18.49/5.00 | (275) all_0_14_14 = e1
% 18.49/5.00 | (276) all_0_17_17 = e1
% 18.49/5.01 | (242) ~ (all_0_13_13 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (513,275) yields a new equation:
% 18.49/5.01 | (372) e1 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (372) can reduce 90 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.49/5.01 |
% 18.49/5.01 | Applying alpha-rule on (279) yields:
% 18.49/5.01 | (280) all_0_15_15 = e2
% 18.49/5.01 | (281) all_0_21_21 = e2
% 18.49/5.01 | (262) ~ (all_0_23_23 = e0)
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (280,836) yields a new equation:
% 18.49/5.01 | (716) e2 = e1
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 716 yields:
% 18.49/5.01 | (388) e2 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (388) can reduce 49 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Applying alpha-rule on (284) yields:
% 18.49/5.01 | (285) all_0_15_15 = e0
% 18.49/5.01 | (286) all_0_21_21 = e0
% 18.49/5.01 | (242) ~ (all_0_13_13 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (285,836) yields a new equation:
% 18.49/5.01 | (372) e1 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (372) can reduce 90 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.49/5.01 |
% 18.49/5.01 | Applying alpha-rule on (289) yields:
% 18.49/5.01 | (290) all_0_19_19 = e1
% 18.49/5.01 | (291) all_0_22_22 = e1
% 18.49/5.01 | (262) ~ (all_0_23_23 = e0)
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (290,295) yields a new equation:
% 18.49/5.01 | (371) e1 = e0
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 371 yields:
% 18.49/5.01 | (372) e1 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (372) can reduce 90 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Applying alpha-rule on (294) yields:
% 18.49/5.01 | (295) all_0_19_19 = e0
% 18.49/5.01 | (296) all_0_22_22 = e0
% 18.49/5.01 | (252) ~ (all_0_18_18 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Equations (296) can reduce 188 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (842) ~ (all_0_9_9 = e0)
% 18.49/5.01 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (847), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (410) all_0_10_10 = e0
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (250,410) yields a new equation:
% 18.49/5.01 | (364) e3 = e0
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 364 yields:
% 18.49/5.01 | (365) e3 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (365) can reduce 107 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (599) ~ (all_0_10_10 = e0)
% 18.49/5.01 | (265) all_0_11_11 = e0
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (635,265) yields a new equation:
% 18.49/5.01 | (489) e2 = e0
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 489 yields:
% 18.49/5.01 | (490) e2 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (490) can reduce 137 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (953) ~ (all_0_11_11 = e2)
% 18.49/5.01 | (2139) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (82), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (1100) all_0_8_8 = e2
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (1100,423) yields a new equation:
% 18.49/5.01 | (716) e2 = e1
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 716 yields:
% 18.49/5.01 | (388) e2 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (388) can reduce 49 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (196) ~ (all_0_8_8 = e2)
% 18.49/5.01 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (1193), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (245) all_0_9_9 = e2
% 18.49/5.01 |
% 18.49/5.01 | Equations (245) can reduce 18 to:
% 18.49/5.01 | (3922) ~ (all_0_13_13 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 3922 yields:
% 18.49/5.01 | (242) ~ (all_0_13_13 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Equations (245) can reduce 13 to:
% 18.49/5.01 | (2535) ~ (all_0_17_17 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 2535 yields:
% 18.49/5.01 | (1004) ~ (all_0_17_17 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Equations (245) can reduce 17 to:
% 18.49/5.01 | (3039) ~ (all_0_21_21 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 3039 yields:
% 18.49/5.01 | (1811) ~ (all_0_21_21 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Equations (245) can reduce 200 to:
% 18.49/5.01 | (499) ~ (e3 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 499 yields:
% 18.49/5.01 | (69) ~ (e3 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Equations (245) can reduce 304 to:
% 18.49/5.01 | (49) ~ (e2 = e1)
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (132), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (687) all_0_20_20 = e2
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (266,687) yields a new equation:
% 18.49/5.01 | (490) e2 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (490) can reduce 137 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (668) ~ (all_0_20_20 = e2)
% 18.49/5.01 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 18.49/5.01 |
% 18.49/5.01 | Equations (266) can reduce 668 to:
% 18.49/5.01 | (191) ~ (e2 = e0)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 191 yields:
% 18.49/5.01 | (137) ~ (e2 = e0)
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (51), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (198) all_0_8_8 = e3
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (198,423) yields a new equation:
% 18.49/5.01 | (441) e3 = e1
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 441 yields:
% 18.49/5.01 | (414) e3 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (414) can reduce 147 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (247) ~ (all_0_8_8 = e3)
% 18.49/5.01 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (4222), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (727) all_0_13_13 = e2
% 18.49/5.01 |
% 18.49/5.01 | Equations (727) can reduce 242 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (242) ~ (all_0_13_13 = e2)
% 18.49/5.01 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (4238), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (226) all_0_18_18 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (226) can reduce 108 to:
% 18.49/5.01 | (227) ~ (all_0_16_16 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Equations (226) can reduce 121 to:
% 18.49/5.01 | (228) ~ (all_0_17_17 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Equations (226) can reduce 123 to:
% 18.49/5.01 | (309) ~ (all_0_19_19 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 309 yields:
% 18.49/5.01 | (310) ~ (all_0_19_19 = e1)
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (64), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (428) all_0_9_9 = e1
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (245,428) yields a new equation:
% 18.49/5.01 | (716) e2 = e1
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 716 yields:
% 18.49/5.01 | (388) e2 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (388) can reduce 49 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (304) ~ (all_0_9_9 = e1)
% 18.49/5.01 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (1283), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (679) all_0_13_13 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (679) can reduce 167 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (167) ~ (all_0_13_13 = e1)
% 18.49/5.01 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (1287), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (276) all_0_17_17 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (276) can reduce 228 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (228) ~ (all_0_17_17 = e1)
% 18.49/5.01 | (1292) all_0_21_21 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (1292) can reduce 154 to:
% 18.49/5.01 | (228) ~ (all_0_17_17 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Equations (1292) can reduce 1618 to:
% 18.49/5.01 | (438) ~ (e3 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 438 yields:
% 18.49/5.01 | (147) ~ (e3 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Equations (1292) can reduce 1811 to:
% 18.49/5.01 | (307) ~ (e2 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 307 yields:
% 18.49/5.01 | (49) ~ (e2 = e1)
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (157), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (327) all_0_19_19 = e3
% 18.49/5.01 |
% 18.49/5.01 | Equations (327) can reduce 469 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (469) ~ (all_0_19_19 = e3)
% 18.49/5.01 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (43), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (246) all_0_12_12 = e2
% 18.49/5.01 |
% 18.49/5.01 | Equations (246) can reduce 71 to:
% 18.49/5.01 | (1606) ~ (all_0_16_16 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 1606 yields:
% 18.49/5.01 | (854) ~ (all_0_16_16 = e2)
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (470), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (471) all_0_19_19 = e2
% 18.49/5.01 |
% 18.49/5.01 | Equations (471) can reduce 314 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (314) ~ (all_0_19_19 = e2)
% 18.49/5.01 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (109), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (198) all_0_8_8 = e3
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (198,423) yields a new equation:
% 18.49/5.01 | (441) e3 = e1
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 441 yields:
% 18.49/5.01 | (414) e3 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (414) can reduce 147 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (247) ~ (all_0_8_8 = e3)
% 18.49/5.01 | (1179) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (1179), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (241) all_0_12_12 = e3
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (241,246) yields a new equation:
% 18.49/5.01 | (532) e3 = e2
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 532 yields:
% 18.49/5.01 | (533) e3 = e2
% 18.49/5.01 |
% 18.49/5.01 | Equations (533) can reduce 69 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (206) ~ (all_0_12_12 = e3)
% 18.49/5.01 | (2315) all_0_16_16 = e3 | all_0_20_20 = e3
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (474), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (290) all_0_19_19 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (290) can reduce 310 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (310) ~ (all_0_19_19 = e1)
% 18.49/5.01 | (295) all_0_19_19 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (295) can reduce 32 to:
% 18.49/5.01 | (480) ~ (all_0_16_16 = e0)
% 18.49/5.01 |
% 18.49/5.01 | Equations (295) can reduce 150 to:
% 18.49/5.01 | (486) ~ (all_0_17_17 = e0)
% 18.49/5.01 |
% 18.49/5.01 | Equations (295) can reduce 469 to:
% 18.49/5.01 | (189) ~ (e3 = e0)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 189 yields:
% 18.49/5.01 | (107) ~ (e3 = e0)
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (2315), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (251) all_0_16_16 = e3
% 18.49/5.01 |
% 18.49/5.01 | Equations (251) can reduce 854 to:
% 18.49/5.01 | (69) ~ (e3 = e2)
% 18.49/5.01 |
% 18.49/5.01 | Equations (251) can reduce 227 to:
% 18.49/5.01 | (147) ~ (e3 = e1)
% 18.49/5.01 |
% 18.49/5.01 | Equations (251) can reduce 480 to:
% 18.49/5.01 | (107) ~ (e3 = e0)
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (144), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (241) all_0_12_12 = e3
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (241,246) yields a new equation:
% 18.49/5.01 | (532) e3 = e2
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 532 yields:
% 18.49/5.01 | (533) e3 = e2
% 18.49/5.01 |
% 18.49/5.01 | Equations (533) can reduce 69 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (206) ~ (all_0_12_12 = e3)
% 18.49/5.01 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (335), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (336) all_0_13_13 = e3
% 18.49/5.01 |
% 18.49/5.01 | Equations (336) can reduce 5 to:
% 18.49/5.01 | (1615) ~ (all_0_17_17 = e3)
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 1615 yields:
% 18.49/5.01 | (416) ~ (all_0_17_17 = e3)
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (26), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (413) all_0_17_17 = e3
% 18.49/5.01 |
% 18.49/5.01 | Equations (413) can reduce 416 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (416) ~ (all_0_17_17 = e3)
% 18.49/5.01 | (2068) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (2068), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (271) all_0_17_17 = e2
% 18.49/5.01 |
% 18.49/5.01 | Equations (271) can reduce 1004 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (1004) ~ (all_0_17_17 = e2)
% 18.49/5.01 | (2072) all_0_17_17 = e1 | all_0_17_17 = e0
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (2072), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (276) all_0_17_17 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (276) can reduce 228 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (228) ~ (all_0_17_17 = e1)
% 18.49/5.01 | (482) all_0_17_17 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (482) can reduce 486 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (216) ~ (all_0_13_13 = e3)
% 18.49/5.01 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 18.49/5.01 |
% 18.49/5.01 +-Applying beta-rule and splitting (339), into two cases.
% 18.49/5.01 |-Branch one:
% 18.49/5.01 | (440) all_0_14_14 = e3
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (440,513) yields a new equation:
% 18.49/5.01 | (364) e3 = e0
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 364 yields:
% 18.49/5.01 | (365) e3 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (365) can reduce 107 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (444) ~ (all_0_14_14 = e3)
% 18.49/5.01 | (419) all_0_15_15 = e3
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (836,419) yields a new equation:
% 18.49/5.01 | (414) e3 = e1
% 18.49/5.01 |
% 18.49/5.01 | Equations (414) can reduce 147 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.01 |-Branch two:
% 18.49/5.01 | (208) ~ (all_0_16_16 = e3)
% 18.49/5.01 | (261) all_0_20_20 = e3
% 18.49/5.01 |
% 18.49/5.01 | Combining equations (261,266) yields a new equation:
% 18.49/5.01 | (364) e3 = e0
% 18.49/5.01 |
% 18.49/5.01 | Simplifying 364 yields:
% 18.49/5.01 | (365) e3 = e0
% 18.49/5.01 |
% 18.49/5.01 | Equations (365) can reduce 107 to:
% 18.49/5.01 | (172) $false
% 18.49/5.01 |
% 18.49/5.01 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (711) ~ (all_0_12_12 = e2)
% 18.49/5.02 | (712) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (712), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (727) all_0_13_13 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (727) can reduce 242 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (242) ~ (all_0_13_13 = e2)
% 18.49/5.02 | (826) all_0_14_14 = e2 | all_0_15_15 = e2
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (826), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (270) all_0_14_14 = e2
% 18.49/5.02 |
% 18.49/5.02 | Combining equations (513,270) yields a new equation:
% 18.49/5.02 | (490) e2 = e0
% 18.49/5.02 |
% 18.49/5.02 | Equations (490) can reduce 137 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (498) ~ (all_0_14_14 = e2)
% 18.49/5.02 | (280) all_0_15_15 = e2
% 18.49/5.02 |
% 18.49/5.02 | Combining equations (836,280) yields a new equation:
% 18.49/5.02 | (388) e2 = e1
% 18.49/5.02 |
% 18.49/5.02 | Equations (388) can reduce 49 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (252) ~ (all_0_18_18 = e1)
% 18.49/5.02 | (182) all_0_23_23 = e0
% 18.49/5.02 |
% 18.49/5.02 | Combining equations (182,171) yields a new equation:
% 18.49/5.02 | (365) e3 = e0
% 18.49/5.02 |
% 18.49/5.02 | Equations (365) can reduce 107 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (636) ~ (all_0_9_9 = e2)
% 18.49/5.02 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (4507), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (403) all_0_10_10 = e2
% 18.49/5.02 |
% 18.49/5.02 | Combining equations (250,403) yields a new equation:
% 18.49/5.02 | (532) e3 = e2
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 532 yields:
% 18.49/5.02 | (533) e3 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (533) can reduce 69 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (305) ~ (all_0_10_10 = e2)
% 18.49/5.02 | (635) all_0_11_11 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (635) can reduce 953 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (594) ~ (all_0_14_14 = e0)
% 18.49/5.02 | (1480) all_0_18_18 = e0 | all_0_22_22 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (1480), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (300) all_0_18_18 = e0
% 18.49/5.02 |
% 18.49/5.02 | Equations (300) can reduce 215 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (215) ~ (all_0_18_18 = e0)
% 18.49/5.02 | (296) all_0_22_22 = e0
% 18.49/5.02 |
% 18.49/5.02 | Equations (296) can reduce 188 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (300) all_0_18_18 = e0
% 18.49/5.02 | (290) all_0_19_19 = e1
% 18.49/5.02 |
% 18.49/5.02 | Equations (300) can reduce 21 to:
% 18.49/5.02 | (594) ~ (all_0_14_14 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Equations (300) can reduce 108 to:
% 18.49/5.02 | (480) ~ (all_0_16_16 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Equations (290) can reduce 32 to:
% 18.49/5.02 | (227) ~ (all_0_16_16 = e1)
% 18.49/5.02 |
% 18.49/5.02 | Equations (300) can reduce 121 to:
% 18.49/5.02 | (486) ~ (all_0_17_17 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Equations (290) can reduce 150 to:
% 18.49/5.02 | (228) ~ (all_0_17_17 = e1)
% 18.49/5.02 |
% 18.49/5.02 | Equations (300,290) can reduce 123 to:
% 18.49/5.02 | (193) ~ (e1 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 193 yields:
% 18.49/5.02 | (90) ~ (e1 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Equations (300) can reduce 101 to:
% 18.49/5.02 | (514) ~ (all_0_22_22 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 514 yields:
% 18.49/5.02 | (188) ~ (all_0_22_22 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Equations (300) can reduce 214 to:
% 18.49/5.02 | (189) ~ (e3 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 189 yields:
% 18.49/5.02 | (107) ~ (e3 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Equations (290) can reduce 469 to:
% 18.49/5.02 | (438) ~ (e3 = e1)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 438 yields:
% 18.49/5.02 | (147) ~ (e3 = e1)
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (51), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (198) all_0_8_8 = e3
% 18.49/5.02 |
% 18.49/5.02 | Combining equations (198,423) yields a new equation:
% 18.49/5.02 | (441) e3 = e1
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 441 yields:
% 18.49/5.02 | (414) e3 = e1
% 18.49/5.02 |
% 18.49/5.02 | Equations (414) can reduce 147 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (247) ~ (all_0_8_8 = e3)
% 18.49/5.02 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (4222), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (727) all_0_13_13 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (727) can reduce 18 to:
% 18.49/5.02 | (636) ~ (all_0_9_9 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Equations (727) can reduce 12 to:
% 18.49/5.02 | (497) ~ (all_0_14_14 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 497 yields:
% 18.49/5.02 | (498) ~ (all_0_14_14 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Equations (727) can reduce 84 to:
% 18.49/5.02 | (2533) ~ (all_0_15_15 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 2533 yields:
% 18.49/5.02 | (1585) ~ (all_0_15_15 = e2)
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (91), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (440) all_0_14_14 = e3
% 18.49/5.02 |
% 18.49/5.02 | Equations (440) can reduce 444 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (444) ~ (all_0_14_14 = e3)
% 18.49/5.02 | (911) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (911), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (270) all_0_14_14 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (270) can reduce 498 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (498) ~ (all_0_14_14 = e2)
% 18.49/5.02 | (919) all_0_14_14 = e1 | all_0_14_14 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (919), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (275) all_0_14_14 = e1
% 18.49/5.02 |
% 18.49/5.02 | Equations (275) can reduce 127 to:
% 18.49/5.02 | (660) ~ (all_0_12_12 = e1)
% 18.49/5.02 |
% 18.49/5.02 | Equations (275) can reduce 50 to:
% 18.49/5.02 | (1658) ~ (all_0_15_15 = e1)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 1658 yields:
% 18.49/5.02 | (602) ~ (all_0_15_15 = e1)
% 18.49/5.02 |
% 18.49/5.02 | Equations (275) can reduce 81 to:
% 18.49/5.02 | (698) ~ (all_0_22_22 = e1)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 698 yields:
% 18.49/5.02 | (699) ~ (all_0_22_22 = e1)
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (47), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (902) all_0_22_22 = e3
% 18.49/5.02 |
% 18.49/5.02 | Equations (902) can reduce 881 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (881) ~ (all_0_22_22 = e3)
% 18.49/5.02 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (905), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (725) all_0_22_22 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (725) can reduce 131 to:
% 18.49/5.02 | (1811) ~ (all_0_21_21 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Equations (725) can reduce 881 to:
% 18.49/5.02 | (499) ~ (e3 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 499 yields:
% 18.49/5.02 | (69) ~ (e3 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Equations (725) can reduce 699 to:
% 18.49/5.02 | (49) ~ (e2 = e1)
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (28), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (419) all_0_15_15 = e3
% 18.49/5.02 |
% 18.49/5.02 | Equations (419) can reduce 329 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (329) ~ (all_0_15_15 = e3)
% 18.49/5.02 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (422), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (280) all_0_15_15 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (280) can reduce 1585 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (1585) ~ (all_0_15_15 = e2)
% 18.49/5.02 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (1586), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (836) all_0_15_15 = e1
% 18.49/5.02 |
% 18.49/5.02 | Equations (836) can reduce 602 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (602) ~ (all_0_15_15 = e1)
% 18.49/5.02 | (285) all_0_15_15 = e0
% 18.49/5.02 |
% 18.49/5.02 | Equations (285) can reduce 162 to:
% 18.49/5.02 | (505) ~ (all_0_12_12 = e0)
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (133), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (240) all_0_9_9 = e3
% 18.49/5.02 |
% 18.49/5.02 | Equations (240) can reduce 200 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (200) ~ (all_0_9_9 = e3)
% 18.49/5.02 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (134), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (417) all_0_21_21 = e3
% 18.49/5.02 |
% 18.49/5.02 | Equations (417) can reduce 1618 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (1618) ~ (all_0_21_21 = e3)
% 18.49/5.02 | (4204) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (82), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (1100) all_0_8_8 = e2
% 18.49/5.02 |
% 18.49/5.02 | Combining equations (1100,423) yields a new equation:
% 18.49/5.02 | (716) e2 = e1
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 716 yields:
% 18.49/5.02 | (388) e2 = e1
% 18.49/5.02 |
% 18.49/5.02 | Equations (388) can reduce 49 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (196) ~ (all_0_8_8 = e2)
% 18.49/5.02 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (1193), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (245) all_0_9_9 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (245) can reduce 636 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (636) ~ (all_0_9_9 = e2)
% 18.49/5.02 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (4507), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (403) all_0_10_10 = e2
% 18.49/5.02 |
% 18.49/5.02 | Combining equations (403,250) yields a new equation:
% 18.49/5.02 | (533) e3 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (533) can reduce 69 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (305) ~ (all_0_10_10 = e2)
% 18.49/5.02 | (635) all_0_11_11 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (635) can reduce 97 to:
% 18.49/5.02 | (636) ~ (all_0_9_9 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Equations (635) can reduce 204 to:
% 18.49/5.02 | (499) ~ (e3 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 499 yields:
% 18.49/5.02 | (69) ~ (e3 = e2)
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (144), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (241) all_0_12_12 = e3
% 18.49/5.02 |
% 18.49/5.02 | Equations (241) can reduce 71 to:
% 18.49/5.02 | (207) ~ (all_0_16_16 = e3)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 207 yields:
% 18.49/5.02 | (208) ~ (all_0_16_16 = e3)
% 18.49/5.02 |
% 18.49/5.02 | Equations (241) can reduce 660 to:
% 18.49/5.02 | (147) ~ (e3 = e1)
% 18.49/5.02 |
% 18.49/5.02 | Equations (241) can reduce 505 to:
% 18.49/5.02 | (107) ~ (e3 = e0)
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (26), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (413) all_0_17_17 = e3
% 18.49/5.02 |
% 18.49/5.02 | Equations (413) can reduce 13 to:
% 18.49/5.02 | (200) ~ (all_0_9_9 = e3)
% 18.49/5.02 |
% 18.49/5.02 | Equations (413) can reduce 148 to:
% 18.49/5.02 | (208) ~ (all_0_16_16 = e3)
% 18.49/5.02 |
% 18.49/5.02 | Equations (413) can reduce 154 to:
% 18.49/5.02 | (1617) ~ (all_0_21_21 = e3)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 1617 yields:
% 18.49/5.02 | (1618) ~ (all_0_21_21 = e3)
% 18.49/5.02 |
% 18.49/5.02 | Equations (413) can reduce 486 to:
% 18.49/5.02 | (107) ~ (e3 = e0)
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (83), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (251) all_0_16_16 = e3
% 18.49/5.02 |
% 18.49/5.02 | Equations (251) can reduce 208 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (208) ~ (all_0_16_16 = e3)
% 18.49/5.02 | (665) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (61), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (240) all_0_9_9 = e3
% 18.49/5.02 |
% 18.49/5.02 | Equations (240) can reduce 200 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (200) ~ (all_0_9_9 = e3)
% 18.49/5.02 | (4629) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (665), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (666) all_0_16_16 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (666) can reduce 208 to:
% 18.49/5.02 | (499) ~ (e3 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 499 yields:
% 18.49/5.02 | (69) ~ (e3 = e2)
% 18.49/5.02 |
% 18.49/5.02 | Equations (666) can reduce 480 to:
% 18.49/5.02 | (137) ~ (e2 = e0)
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (4204), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (281) all_0_21_21 = e2
% 18.49/5.02 |
% 18.49/5.02 | Equations (281) can reduce 1811 to:
% 18.49/5.02 | (172) $false
% 18.49/5.02 |
% 18.49/5.02 |-The branch is then unsatisfiable
% 18.49/5.02 |-Branch two:
% 18.49/5.02 | (1811) ~ (all_0_21_21 = e2)
% 18.49/5.02 | (4272) all_0_21_21 = e1 | all_0_21_21 = e0
% 18.49/5.02 |
% 18.49/5.02 +-Applying beta-rule and splitting (11), into two cases.
% 18.49/5.02 |-Branch one:
% 18.49/5.02 | (672) all_0_9_9 = e0
% 18.49/5.02 |
% 18.49/5.02 | Equations (672) can reduce 17 to:
% 18.49/5.02 | (991) ~ (all_0_21_21 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Simplifying 991 yields:
% 18.49/5.02 | (187) ~ (all_0_21_21 = e0)
% 18.49/5.02 |
% 18.49/5.02 | Equations (672) can reduce 200 to:
% 18.49/5.02 | (189) ~ (e3 = e0)
% 18.49/5.03 |
% 18.49/5.03 | Simplifying 189 yields:
% 18.49/5.03 | (107) ~ (e3 = e0)
% 18.49/5.03 |
% 18.49/5.03 | Equations (672) can reduce 636 to:
% 18.49/5.03 | (191) ~ (e2 = e0)
% 18.49/5.03 |
% 18.49/5.03 | Simplifying 191 yields:
% 18.49/5.03 | (137) ~ (e2 = e0)
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (4272), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (1292) all_0_21_21 = e1
% 18.49/5.03 |
% 18.49/5.03 | Equations (1292) can reduce 1618 to:
% 18.49/5.03 | (438) ~ (e3 = e1)
% 18.49/5.03 |
% 18.49/5.03 | Simplifying 438 yields:
% 18.49/5.03 | (147) ~ (e3 = e1)
% 18.49/5.03 |
% 18.49/5.03 | Equations (1292) can reduce 1811 to:
% 18.49/5.03 | (307) ~ (e2 = e1)
% 18.49/5.03 |
% 18.49/5.03 | Simplifying 307 yields:
% 18.49/5.03 | (49) ~ (e2 = e1)
% 18.49/5.03 |
% 18.49/5.03 | Equations (1292) can reduce 187 to:
% 18.49/5.03 | (90) ~ (e1 = e0)
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (152), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (229), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (230), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (231), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (232), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (233), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (234), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (235), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.49/5.03 |
% 18.49/5.03 +-Applying beta-rule and splitting (236), into two cases.
% 18.49/5.03 |-Branch one:
% 18.49/5.03 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.77/5.03 |
% 18.77/5.03 +-Applying beta-rule and splitting (237), into two cases.
% 18.77/5.03 |-Branch one:
% 18.77/5.03 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.77/5.03 |
% 18.77/5.03 +-Applying beta-rule and splitting (238), into two cases.
% 18.77/5.03 |-Branch one:
% 18.77/5.03 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (239) yields:
% 18.77/5.03 | (240) all_0_9_9 = e3
% 18.77/5.03 | (241) all_0_12_12 = e3
% 18.77/5.03 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (672,240) yields a new equation:
% 18.77/5.03 | (365) e3 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (365) can reduce 107 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (244) yields:
% 18.77/5.03 | (245) all_0_9_9 = e2
% 18.77/5.03 | (246) all_0_12_12 = e2
% 18.77/5.03 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (672,245) yields a new equation:
% 18.77/5.03 | (490) e2 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (490) can reduce 137 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (249) yields:
% 18.77/5.03 | (250) all_0_10_10 = e3
% 18.77/5.03 | (251) all_0_16_16 = e3
% 18.77/5.03 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (251,666) yields a new equation:
% 18.77/5.03 | (532) e3 = e2
% 18.77/5.03 |
% 18.77/5.03 | Simplifying 532 yields:
% 18.77/5.03 | (533) e3 = e2
% 18.77/5.03 |
% 18.77/5.03 | Equations (533) can reduce 69 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (254) yields:
% 18.77/5.03 | (255) all_0_10_10 = e1
% 18.77/5.03 | (256) all_0_16_16 = e1
% 18.77/5.03 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (256,666) yields a new equation:
% 18.77/5.03 | (388) e2 = e1
% 18.77/5.03 |
% 18.77/5.03 | Equations (388) can reduce 49 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (259) yields:
% 18.77/5.03 | (260) all_0_11_11 = e3
% 18.77/5.03 | (261) all_0_20_20 = e3
% 18.77/5.03 | (262) ~ (all_0_23_23 = e0)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (635,260) yields a new equation:
% 18.77/5.03 | (533) e3 = e2
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (266,261) yields a new equation:
% 18.77/5.03 | (365) e3 = e0
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (365,533) yields a new equation:
% 18.77/5.03 | (490) e2 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (490) can reduce 137 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (264) yields:
% 18.77/5.03 | (265) all_0_11_11 = e0
% 18.77/5.03 | (266) all_0_20_20 = e0
% 18.77/5.03 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (635,265) yields a new equation:
% 18.77/5.03 | (489) e2 = e0
% 18.77/5.03 |
% 18.77/5.03 | Simplifying 489 yields:
% 18.77/5.03 | (490) e2 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (490) can reduce 137 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (269) yields:
% 18.77/5.03 | (270) all_0_14_14 = e2
% 18.77/5.03 | (271) all_0_17_17 = e2
% 18.77/5.03 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (270,275) yields a new equation:
% 18.77/5.03 | (716) e2 = e1
% 18.77/5.03 |
% 18.77/5.03 | Simplifying 716 yields:
% 18.77/5.03 | (388) e2 = e1
% 18.77/5.03 |
% 18.77/5.03 | Equations (388) can reduce 49 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (274) yields:
% 18.77/5.03 | (275) all_0_14_14 = e1
% 18.77/5.03 | (276) all_0_17_17 = e1
% 18.77/5.03 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (413,276) yields a new equation:
% 18.77/5.03 | (441) e3 = e1
% 18.77/5.03 |
% 18.77/5.03 | Simplifying 441 yields:
% 18.77/5.03 | (414) e3 = e1
% 18.77/5.03 |
% 18.77/5.03 | Equations (414) can reduce 147 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (279) yields:
% 18.77/5.03 | (280) all_0_15_15 = e2
% 18.77/5.03 | (281) all_0_21_21 = e2
% 18.77/5.03 | (262) ~ (all_0_23_23 = e0)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (280,285) yields a new equation:
% 18.77/5.03 | (489) e2 = e0
% 18.77/5.03 |
% 18.77/5.03 | Simplifying 489 yields:
% 18.77/5.03 | (490) e2 = e0
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (1292,281) yields a new equation:
% 18.77/5.03 | (388) e2 = e1
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (490,388) yields a new equation:
% 18.77/5.03 | (372) e1 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (372) can reduce 90 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (284) yields:
% 18.77/5.03 | (285) all_0_15_15 = e0
% 18.77/5.03 | (286) all_0_21_21 = e0
% 18.77/5.03 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (1292,286) yields a new equation:
% 18.77/5.03 | (371) e1 = e0
% 18.77/5.03 |
% 18.77/5.03 | Simplifying 371 yields:
% 18.77/5.03 | (372) e1 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (372) can reduce 90 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (289) yields:
% 18.77/5.03 | (290) all_0_19_19 = e1
% 18.77/5.03 | (291) all_0_22_22 = e1
% 18.77/5.03 | (262) ~ (all_0_23_23 = e0)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (725,291) yields a new equation:
% 18.77/5.03 | (716) e2 = e1
% 18.77/5.03 |
% 18.77/5.03 | Simplifying 716 yields:
% 18.77/5.03 | (388) e2 = e1
% 18.77/5.03 |
% 18.77/5.03 | Equations (388) can reduce 49 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.77/5.03 |
% 18.77/5.03 | Applying alpha-rule on (294) yields:
% 18.77/5.03 | (295) all_0_19_19 = e0
% 18.77/5.03 | (296) all_0_22_22 = e0
% 18.77/5.03 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (295,290) yields a new equation:
% 18.77/5.03 | (372) e1 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (372) can reduce 90 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (312) ~ (all_0_21_21 = e1)
% 18.77/5.03 | (286) all_0_21_21 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (286) can reduce 187 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (842) ~ (all_0_9_9 = e0)
% 18.77/5.03 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 18.77/5.03 |
% 18.77/5.03 +-Applying beta-rule and splitting (843), into two cases.
% 18.77/5.03 |-Branch one:
% 18.77/5.03 | (507) all_0_13_13 = e0
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (727,507) yields a new equation:
% 18.77/5.03 | (489) e2 = e0
% 18.77/5.03 |
% 18.77/5.03 | Simplifying 489 yields:
% 18.77/5.03 | (490) e2 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (490) can reduce 137 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (511) ~ (all_0_13_13 = e0)
% 18.77/5.03 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 18.77/5.03 |
% 18.77/5.03 +-Applying beta-rule and splitting (1594), into two cases.
% 18.77/5.03 |-Branch one:
% 18.77/5.03 | (482) all_0_17_17 = e0
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (413,482) yields a new equation:
% 18.77/5.03 | (364) e3 = e0
% 18.77/5.03 |
% 18.77/5.03 | Simplifying 364 yields:
% 18.77/5.03 | (365) e3 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (365) can reduce 107 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (486) ~ (all_0_17_17 = e0)
% 18.77/5.03 | (286) all_0_21_21 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (286) can reduce 187 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (854) ~ (all_0_16_16 = e2)
% 18.77/5.03 | (855) all_0_16_16 = e1 | all_0_16_16 = e0
% 18.77/5.03 |
% 18.77/5.03 +-Applying beta-rule and splitting (855), into two cases.
% 18.77/5.03 |-Branch one:
% 18.77/5.03 | (256) all_0_16_16 = e1
% 18.77/5.03 |
% 18.77/5.03 | Equations (256) can reduce 227 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (227) ~ (all_0_16_16 = e1)
% 18.77/5.03 | (320) all_0_16_16 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (320) can reduce 480 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (416) ~ (all_0_17_17 = e3)
% 18.77/5.03 | (2068) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 18.77/5.03 |
% 18.77/5.03 +-Applying beta-rule and splitting (20), into two cases.
% 18.77/5.03 |-Branch one:
% 18.77/5.03 | (251) all_0_16_16 = e3
% 18.77/5.03 |
% 18.77/5.03 | Equations (251) can reduce 208 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (208) ~ (all_0_16_16 = e3)
% 18.77/5.03 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 18.77/5.03 |
% 18.77/5.03 +-Applying beta-rule and splitting (648), into two cases.
% 18.77/5.03 |-Branch one:
% 18.77/5.03 | (413) all_0_17_17 = e3
% 18.77/5.03 |
% 18.77/5.03 | Equations (413) can reduce 416 to:
% 18.77/5.03 | (172) $false
% 18.77/5.03 |
% 18.77/5.03 |-The branch is then unsatisfiable
% 18.77/5.03 |-Branch two:
% 18.77/5.03 | (416) ~ (all_0_17_17 = e3)
% 18.77/5.03 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 18.77/5.03 |
% 18.77/5.03 +-Applying beta-rule and splitting (862), into two cases.
% 18.77/5.03 |-Branch one:
% 18.77/5.03 | (218) all_0_18_18 = e3
% 18.77/5.03 |
% 18.77/5.03 | Combining equations (300,218) yields a new equation:
% 18.77/5.03 | (365) e3 = e0
% 18.77/5.03 |
% 18.77/5.03 | Equations (365) can reduce 107 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (214) ~ (all_0_18_18 = e3)
% 18.77/5.04 | (327) all_0_19_19 = e3
% 18.77/5.04 |
% 18.77/5.04 | Combining equations (290,327) yields a new equation:
% 18.77/5.04 | (414) e3 = e1
% 18.77/5.04 |
% 18.77/5.04 | Equations (414) can reduce 147 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (206) ~ (all_0_12_12 = e3)
% 18.77/5.04 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (89), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (241) all_0_12_12 = e3
% 18.77/5.04 |
% 18.77/5.04 | Equations (241) can reduce 206 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (206) ~ (all_0_12_12 = e3)
% 18.77/5.04 | (2185) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (319), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (336) all_0_13_13 = e3
% 18.77/5.04 |
% 18.77/5.04 | Combining equations (336,727) yields a new equation:
% 18.77/5.04 | (532) e3 = e2
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 532 yields:
% 18.77/5.04 | (533) e3 = e2
% 18.77/5.04 |
% 18.77/5.04 | Equations (533) can reduce 69 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (216) ~ (all_0_13_13 = e3)
% 18.77/5.04 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (402), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (413) all_0_17_17 = e3
% 18.77/5.04 |
% 18.77/5.04 | Equations (413) can reduce 148 to:
% 18.77/5.04 | (208) ~ (all_0_16_16 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (413) can reduce 228 to:
% 18.77/5.04 | (147) ~ (e3 = e1)
% 18.77/5.04 |
% 18.77/5.04 | Equations (413) can reduce 486 to:
% 18.77/5.04 | (107) ~ (e3 = e0)
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (109), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (198) all_0_8_8 = e3
% 18.77/5.04 |
% 18.77/5.04 | Combining equations (198,423) yields a new equation:
% 18.77/5.04 | (441) e3 = e1
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 441 yields:
% 18.77/5.04 | (414) e3 = e1
% 18.77/5.04 |
% 18.77/5.04 | Equations (414) can reduce 147 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.04 | (1179) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (1179), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (241) all_0_12_12 = e3
% 18.77/5.04 |
% 18.77/5.04 | Equations (241) can reduce 206 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (206) ~ (all_0_12_12 = e3)
% 18.77/5.04 | (2315) all_0_16_16 = e3 | all_0_20_20 = e3
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (2315), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (251) all_0_16_16 = e3
% 18.77/5.04 |
% 18.77/5.04 | Equations (251) can reduce 208 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (208) ~ (all_0_16_16 = e3)
% 18.77/5.04 | (261) all_0_20_20 = e3
% 18.77/5.04 |
% 18.77/5.04 | Combining equations (266,261) yields a new equation:
% 18.77/5.04 | (365) e3 = e0
% 18.77/5.04 |
% 18.77/5.04 | Equations (365) can reduce 107 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (416) ~ (all_0_17_17 = e3)
% 18.77/5.04 | (417) all_0_21_21 = e3
% 18.77/5.04 |
% 18.77/5.04 | Equations (417) can reduce 1618 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (933) ~ (all_0_22_22 = e2)
% 18.77/5.04 | (934) all_0_22_22 = e1 | all_0_22_22 = e0
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (934), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (291) all_0_22_22 = e1
% 18.77/5.04 |
% 18.77/5.04 | Equations (291) can reduce 699 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (699) ~ (all_0_22_22 = e1)
% 18.77/5.04 | (296) all_0_22_22 = e0
% 18.77/5.04 |
% 18.77/5.04 | Equations (296) can reduce 188 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (835) ~ (all_0_14_14 = e1)
% 18.77/5.04 | (513) all_0_14_14 = e0
% 18.77/5.04 |
% 18.77/5.04 | Equations (513) can reduce 594 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.04 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (4238), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (226) all_0_18_18 = e1
% 18.77/5.04 |
% 18.77/5.04 | Combining equations (300,226) yields a new equation:
% 18.77/5.04 | (372) e1 = e0
% 18.77/5.04 |
% 18.77/5.04 | Equations (372) can reduce 90 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.04 | (182) all_0_23_23 = e0
% 18.77/5.04 |
% 18.77/5.04 | Combining equations (171,182) yields a new equation:
% 18.77/5.04 | (364) e3 = e0
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 364 yields:
% 18.77/5.04 | (365) e3 = e0
% 18.77/5.04 |
% 18.77/5.04 | Equations (365) can reduce 107 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (4841) all_0_0_0 = e2
% 18.77/5.04 | (4842) ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e3)
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (4842), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (4843) ~ (all_0_1_1 = e1)
% 18.77/5.04 |
% 18.77/5.04 | Equations (4059) can reduce 4843 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (4059) all_0_1_1 = e1
% 18.77/5.04 | (170) ~ (all_0_23_23 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (171) can reduce 170 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (1100) all_0_8_8 = e2
% 18.77/5.04 | (240) all_0_9_9 = e3
% 18.77/5.04 |
% 18.77/5.04 | Combining equations (1100,2999) yields a new equation:
% 18.77/5.04 | (4850) all_0_1_1 = e2
% 18.77/5.04 |
% 18.77/5.04 | Equations (1100,240) can reduce 113 to:
% 18.77/5.04 | (499) ~ (e3 = e2)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 499 yields:
% 18.77/5.04 | (69) ~ (e3 = e2)
% 18.77/5.04 |
% 18.77/5.04 | Equations (1100) can reduce 39 to:
% 18.77/5.04 | (4853) ~ (all_0_11_11 = e2)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 4853 yields:
% 18.77/5.04 | (953) ~ (all_0_11_11 = e2)
% 18.77/5.04 |
% 18.77/5.04 | Equations (1100) can reduce 35 to:
% 18.77/5.04 | (1604) ~ (all_0_12_12 = e2)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 1604 yields:
% 18.77/5.04 | (711) ~ (all_0_12_12 = e2)
% 18.77/5.04 |
% 18.77/5.04 | Equations (1100) can reduce 104 to:
% 18.77/5.04 | (1606) ~ (all_0_16_16 = e2)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 1606 yields:
% 18.77/5.04 | (854) ~ (all_0_16_16 = e2)
% 18.77/5.04 |
% 18.77/5.04 | Equations (240) can reduce 79 to:
% 18.77/5.04 | (201) ~ (all_0_10_10 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 201 yields:
% 18.77/5.04 | (202) ~ (all_0_10_10 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (240) can reduce 97 to:
% 18.77/5.04 | (203) ~ (all_0_11_11 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 203 yields:
% 18.77/5.04 | (204) ~ (all_0_11_11 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (240) can reduce 13 to:
% 18.77/5.04 | (1615) ~ (all_0_17_17 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 1615 yields:
% 18.77/5.04 | (416) ~ (all_0_17_17 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (240) can reduce 17 to:
% 18.77/5.04 | (1617) ~ (all_0_21_21 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 1617 yields:
% 18.77/5.04 | (1618) ~ (all_0_21_21 = e3)
% 18.77/5.04 |
% 18.77/5.04 | From (1100) and (3000) follows:
% 18.77/5.04 | (4867) op(e2, e0) = all_0_0_0
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (53), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (4868) ~ (all_0_0_0 = e1)
% 18.77/5.04 |
% 18.77/5.04 | Instantiating formula (143) with e2, e0, all_0_0_0, all_0_15_15 and discharging atoms op(e2, e0) = all_0_0_0, op(e2, e0) = all_0_15_15, yields:
% 18.77/5.04 | (4869) all_0_0_0 = all_0_15_15
% 18.77/5.04 |
% 18.77/5.04 | Equations (4869) can reduce 4868 to:
% 18.77/5.04 | (602) ~ (all_0_15_15 = e1)
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (126), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (214) ~ (all_0_18_18 = e3)
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (20), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (251) all_0_16_16 = e3
% 18.77/5.04 |
% 18.77/5.04 | Equations (251) can reduce 148 to:
% 18.77/5.04 | (1615) ~ (all_0_17_17 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 1615 yields:
% 18.77/5.04 | (416) ~ (all_0_17_17 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (251) can reduce 108 to:
% 18.77/5.04 | (2567) ~ (all_0_18_18 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 2567 yields:
% 18.77/5.04 | (214) ~ (all_0_18_18 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (251) can reduce 32 to:
% 18.77/5.04 | (1125) ~ (all_0_19_19 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 1125 yields:
% 18.77/5.04 | (469) ~ (all_0_19_19 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (251) can reduce 854 to:
% 18.77/5.04 | (69) ~ (e3 = e2)
% 18.77/5.04 |
% 18.77/5.04 | Equations (251) can reduce 480 to:
% 18.77/5.04 | (107) ~ (e3 = e0)
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (23), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (250) all_0_10_10 = e3
% 18.77/5.04 |
% 18.77/5.04 | Equations (250) can reduce 202 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (202) ~ (all_0_10_10 = e3)
% 18.77/5.04 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (890), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (440) all_0_14_14 = e3
% 18.77/5.04 |
% 18.77/5.04 | Equations (440) can reduce 65 to:
% 18.77/5.04 | (202) ~ (all_0_10_10 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (440) can reduce 127 to:
% 18.77/5.04 | (206) ~ (all_0_12_12 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (440) can reduce 12 to:
% 18.77/5.04 | (216) ~ (all_0_13_13 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (440) can reduce 50 to:
% 18.77/5.04 | (1123) ~ (all_0_15_15 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 1123 yields:
% 18.77/5.04 | (329) ~ (all_0_15_15 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Equations (440) can reduce 21 to:
% 18.77/5.04 | (2567) ~ (all_0_18_18 = e3)
% 18.77/5.04 |
% 18.77/5.04 | Simplifying 2567 yields:
% 18.77/5.04 | (214) ~ (all_0_18_18 = e3)
% 18.77/5.04 |
% 18.77/5.04 +-Applying beta-rule and splitting (89), into two cases.
% 18.77/5.04 |-Branch one:
% 18.77/5.04 | (241) all_0_12_12 = e3
% 18.77/5.04 |
% 18.77/5.04 | Equations (241) can reduce 206 to:
% 18.77/5.04 | (172) $false
% 18.77/5.04 |
% 18.77/5.04 |-The branch is then unsatisfiable
% 18.77/5.04 |-Branch two:
% 18.77/5.04 | (206) ~ (all_0_12_12 = e3)
% 18.77/5.05 | (2185) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (96), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (657) all_0_12_12 = e1
% 18.77/5.05 |
% 18.77/5.05 | Equations (657) can reduce 112 to:
% 18.77/5.05 | (4898) ~ (all_0_13_13 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 4898 yields:
% 18.77/5.05 | (167) ~ (all_0_13_13 = e1)
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (77), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (215) ~ (all_0_18_18 = e0)
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (110), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (410) all_0_10_10 = e0
% 18.77/5.05 |
% 18.77/5.05 | Equations (410) can reduce 52 to:
% 18.77/5.05 | (1632) ~ (all_0_11_11 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 1632 yields:
% 18.77/5.05 | (183) ~ (all_0_11_11 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Equations (410) can reduce 145 to:
% 18.77/5.05 | (514) ~ (all_0_22_22 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 514 yields:
% 18.77/5.05 | (188) ~ (all_0_22_22 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Equations (410) can reduce 202 to:
% 18.77/5.05 | (189) ~ (e3 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 189 yields:
% 18.77/5.05 | (107) ~ (e3 = e0)
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (119), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (260) all_0_11_11 = e3
% 18.77/5.05 |
% 18.77/5.05 | Equations (260) can reduce 204 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (204) ~ (all_0_11_11 = e3)
% 18.77/5.05 | (612) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (612), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (635) all_0_11_11 = e2
% 18.77/5.05 |
% 18.77/5.05 | Equations (635) can reduce 953 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (953) ~ (all_0_11_11 = e2)
% 18.77/5.05 | (954) all_0_11_11 = e1 | all_0_11_11 = e0
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (954), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (437) all_0_11_11 = e1
% 18.77/5.05 |
% 18.77/5.05 | Equations (437) can reduce 98 to:
% 18.77/5.05 | (1658) ~ (all_0_15_15 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 1658 yields:
% 18.77/5.05 | (602) ~ (all_0_15_15 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Equations (437) can reduce 115 to:
% 18.77/5.05 | (309) ~ (all_0_19_19 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 309 yields:
% 18.77/5.05 | (310) ~ (all_0_19_19 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Equations (437) can reduce 204 to:
% 18.77/5.05 | (438) ~ (e3 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 438 yields:
% 18.77/5.05 | (147) ~ (e3 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Equations (437) can reduce 953 to:
% 18.77/5.05 | (307) ~ (e2 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 307 yields:
% 18.77/5.05 | (49) ~ (e2 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Equations (437) can reduce 183 to:
% 18.77/5.05 | (90) ~ (e1 = e0)
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (152), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (229), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (230), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (231), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (232), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (233), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (234), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (235), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (236), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (237), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (238), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.77/5.05 |
% 18.77/5.05 | Applying alpha-rule on (239) yields:
% 18.77/5.05 | (240) all_0_9_9 = e3
% 18.77/5.05 | (241) all_0_12_12 = e3
% 18.77/5.05 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (657,241) yields a new equation:
% 18.77/5.05 | (414) e3 = e1
% 18.77/5.05 |
% 18.77/5.05 | Equations (414) can reduce 147 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.77/5.05 |
% 18.77/5.05 | Applying alpha-rule on (244) yields:
% 18.77/5.05 | (245) all_0_9_9 = e2
% 18.77/5.05 | (246) all_0_12_12 = e2
% 18.77/5.05 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (657,246) yields a new equation:
% 18.77/5.05 | (388) e2 = e1
% 18.77/5.05 |
% 18.77/5.05 | Equations (388) can reduce 49 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Applying alpha-rule on (249) yields:
% 18.77/5.05 | (250) all_0_10_10 = e3
% 18.77/5.05 | (251) all_0_16_16 = e3
% 18.77/5.05 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (250,410) yields a new equation:
% 18.77/5.05 | (364) e3 = e0
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 364 yields:
% 18.77/5.05 | (365) e3 = e0
% 18.77/5.05 |
% 18.77/5.05 | Equations (365) can reduce 107 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.77/5.05 |
% 18.77/5.05 | Applying alpha-rule on (254) yields:
% 18.77/5.05 | (255) all_0_10_10 = e1
% 18.77/5.05 | (256) all_0_16_16 = e1
% 18.77/5.05 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (255,410) yields a new equation:
% 18.77/5.05 | (371) e1 = e0
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 371 yields:
% 18.77/5.05 | (372) e1 = e0
% 18.77/5.05 |
% 18.77/5.05 | Equations (372) can reduce 90 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Applying alpha-rule on (259) yields:
% 18.77/5.05 | (260) all_0_11_11 = e3
% 18.77/5.05 | (261) all_0_20_20 = e3
% 18.77/5.05 | (262) ~ (all_0_23_23 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (260,437) yields a new equation:
% 18.77/5.05 | (441) e3 = e1
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 441 yields:
% 18.77/5.05 | (414) e3 = e1
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (261,266) yields a new equation:
% 18.77/5.05 | (364) e3 = e0
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 364 yields:
% 18.77/5.05 | (365) e3 = e0
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (414,365) yields a new equation:
% 18.77/5.05 | (371) e1 = e0
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 371 yields:
% 18.77/5.05 | (372) e1 = e0
% 18.77/5.05 |
% 18.77/5.05 | Equations (372) can reduce 90 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.77/5.05 |
% 18.77/5.05 | Applying alpha-rule on (264) yields:
% 18.77/5.05 | (265) all_0_11_11 = e0
% 18.77/5.05 | (266) all_0_20_20 = e0
% 18.77/5.05 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (265,437) yields a new equation:
% 18.77/5.05 | (372) e1 = e0
% 18.77/5.05 |
% 18.77/5.05 | Equations (372) can reduce 90 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Applying alpha-rule on (269) yields:
% 18.77/5.05 | (270) all_0_14_14 = e2
% 18.77/5.05 | (271) all_0_17_17 = e2
% 18.77/5.05 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (270,440) yields a new equation:
% 18.77/5.05 | (533) e3 = e2
% 18.77/5.05 |
% 18.77/5.05 | Equations (533) can reduce 69 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.77/5.05 |
% 18.77/5.05 | Applying alpha-rule on (274) yields:
% 18.77/5.05 | (275) all_0_14_14 = e1
% 18.77/5.05 | (276) all_0_17_17 = e1
% 18.77/5.05 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (275,440) yields a new equation:
% 18.77/5.05 | (414) e3 = e1
% 18.77/5.05 |
% 18.77/5.05 | Equations (414) can reduce 147 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Applying alpha-rule on (279) yields:
% 18.77/5.05 | (280) all_0_15_15 = e2
% 18.77/5.05 | (281) all_0_21_21 = e2
% 18.77/5.05 | (262) ~ (all_0_23_23 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Equations (281) can reduce 142 to:
% 18.77/5.05 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.05 |
% 18.77/5.05 | Equations (280) can reduce 149 to:
% 18.77/5.05 | (313) ~ (all_0_19_19 = e2)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 313 yields:
% 18.77/5.05 | (314) ~ (all_0_19_19 = e2)
% 18.77/5.05 |
% 18.77/5.05 | Equations (280) can reduce 602 to:
% 18.77/5.05 | (49) ~ (e2 = e1)
% 18.77/5.05 |
% 18.77/5.05 | Equations (281) can reduce 1618 to:
% 18.77/5.05 | (499) ~ (e3 = e2)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 499 yields:
% 18.77/5.05 | (69) ~ (e3 = e2)
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (51), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (198) all_0_8_8 = e3
% 18.77/5.05 |
% 18.77/5.05 | Combining equations (198,1100) yields a new equation:
% 18.77/5.05 | (532) e3 = e2
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 532 yields:
% 18.77/5.05 | (533) e3 = e2
% 18.77/5.05 |
% 18.77/5.05 | Equations (533) can reduce 69 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.05 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (157), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (327) all_0_19_19 = e3
% 18.77/5.05 |
% 18.77/5.05 | Equations (327) can reduce 469 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (469) ~ (all_0_19_19 = e3)
% 18.77/5.05 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (470), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (471) all_0_19_19 = e2
% 18.77/5.05 |
% 18.77/5.05 | Equations (471) can reduce 314 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (314) ~ (all_0_19_19 = e2)
% 18.77/5.05 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (474), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (290) all_0_19_19 = e1
% 18.77/5.05 |
% 18.77/5.05 | Equations (290) can reduce 310 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (310) ~ (all_0_19_19 = e1)
% 18.77/5.05 | (295) all_0_19_19 = e0
% 18.77/5.05 |
% 18.77/5.05 | Equations (295) can reduce 469 to:
% 18.77/5.05 | (189) ~ (e3 = e0)
% 18.77/5.05 |
% 18.77/5.05 | Simplifying 189 yields:
% 18.77/5.05 | (107) ~ (e3 = e0)
% 18.77/5.05 |
% 18.77/5.05 +-Applying beta-rule and splitting (4222), into two cases.
% 18.77/5.05 |-Branch one:
% 18.77/5.05 | (727) all_0_13_13 = e2
% 18.77/5.05 |
% 18.77/5.05 | Equations (727) can reduce 242 to:
% 18.77/5.05 | (172) $false
% 18.77/5.05 |
% 18.77/5.05 |-The branch is then unsatisfiable
% 18.77/5.05 |-Branch two:
% 18.77/5.05 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.05 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 18.77/5.05 |
% 18.77/5.06 +-Applying beta-rule and splitting (4238), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (226) all_0_18_18 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (226) can reduce 121 to:
% 18.77/5.06 | (228) ~ (all_0_17_17 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Equations (226) can reduce 214 to:
% 18.77/5.06 | (438) ~ (e3 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 438 yields:
% 18.77/5.06 | (147) ~ (e3 = e1)
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (64), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (428) all_0_9_9 = e1
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (428,240) yields a new equation:
% 18.77/5.06 | (414) e3 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (414) can reduce 147 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (304) ~ (all_0_9_9 = e1)
% 18.77/5.06 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (1283), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (679) all_0_13_13 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (679) can reduce 167 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (167) ~ (all_0_13_13 = e1)
% 18.77/5.06 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (1287), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (276) all_0_17_17 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (276) can reduce 228 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (228) ~ (all_0_17_17 = e1)
% 18.77/5.06 | (1292) all_0_21_21 = e1
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (281,1292) yields a new equation:
% 18.77/5.06 | (716) e2 = e1
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 716 yields:
% 18.77/5.06 | (388) e2 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (388) can reduce 49 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.06 | (182) all_0_23_23 = e0
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (182,171) yields a new equation:
% 18.77/5.06 | (365) e3 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (365) can reduce 107 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.77/5.06 |
% 18.77/5.06 | Applying alpha-rule on (284) yields:
% 18.77/5.06 | (285) all_0_15_15 = e0
% 18.77/5.06 | (286) all_0_21_21 = e0
% 18.77/5.06 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.06 |
% 18.77/5.06 | Equations (286) can reduce 187 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Applying alpha-rule on (289) yields:
% 18.77/5.06 | (290) all_0_19_19 = e1
% 18.77/5.06 | (291) all_0_22_22 = e1
% 18.77/5.06 | (262) ~ (all_0_23_23 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Equations (290) can reduce 310 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Applying alpha-rule on (294) yields:
% 18.77/5.06 | (295) all_0_19_19 = e0
% 18.77/5.06 | (296) all_0_22_22 = e0
% 18.77/5.06 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Equations (296) can reduce 188 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (600) ~ (all_0_11_11 = e1)
% 18.77/5.06 | (265) all_0_11_11 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (265) can reduce 183 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (599) ~ (all_0_10_10 = e0)
% 18.77/5.06 | (1145) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (1145), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (513) all_0_14_14 = e0
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (440,513) yields a new equation:
% 18.77/5.06 | (364) e3 = e0
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 364 yields:
% 18.77/5.06 | (365) e3 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (365) can reduce 107 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (594) ~ (all_0_14_14 = e0)
% 18.77/5.06 | (1480) all_0_18_18 = e0 | all_0_22_22 = e0
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (1480), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (300) all_0_18_18 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (300) can reduce 215 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (215) ~ (all_0_18_18 = e0)
% 18.77/5.06 | (296) all_0_22_22 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (296) can reduce 188 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (300) all_0_18_18 = e0
% 18.77/5.06 | (290) all_0_19_19 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (300) can reduce 42 to:
% 18.77/5.06 | (599) ~ (all_0_10_10 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Equations (290) can reduce 115 to:
% 18.77/5.06 | (600) ~ (all_0_11_11 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Equations (300) can reduce 121 to:
% 18.77/5.06 | (486) ~ (all_0_17_17 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Equations (290) can reduce 150 to:
% 18.77/5.06 | (228) ~ (all_0_17_17 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Equations (290) can reduce 469 to:
% 18.77/5.06 | (438) ~ (e3 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 438 yields:
% 18.77/5.06 | (147) ~ (e3 = e1)
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (26), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (413) all_0_17_17 = e3
% 18.77/5.06 |
% 18.77/5.06 | Equations (413) can reduce 416 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (416) ~ (all_0_17_17 = e3)
% 18.77/5.06 | (2068) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (2068), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (271) all_0_17_17 = e2
% 18.77/5.06 |
% 18.77/5.06 | Equations (271) can reduce 5 to:
% 18.77/5.06 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.06 |
% 18.77/5.06 | Equations (271) can reduce 154 to:
% 18.77/5.06 | (3039) ~ (all_0_21_21 = e2)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 3039 yields:
% 18.77/5.06 | (1811) ~ (all_0_21_21 = e2)
% 18.77/5.06 |
% 18.77/5.06 | Equations (271) can reduce 416 to:
% 18.77/5.06 | (499) ~ (e3 = e2)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 499 yields:
% 18.77/5.06 | (69) ~ (e3 = e2)
% 18.77/5.06 |
% 18.77/5.06 | Equations (271) can reduce 228 to:
% 18.77/5.06 | (49) ~ (e2 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Equations (271) can reduce 486 to:
% 18.77/5.06 | (137) ~ (e2 = e0)
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (155), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (423) all_0_8_8 = e1
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (423,1100) yields a new equation:
% 18.77/5.06 | (388) e2 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (388) can reduce 49 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (195) ~ (all_0_8_8 = e1)
% 18.77/5.06 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (132), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (687) all_0_20_20 = e2
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (687,266) yields a new equation:
% 18.77/5.06 | (489) e2 = e0
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 489 yields:
% 18.77/5.06 | (490) e2 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (490) can reduce 137 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (668) ~ (all_0_20_20 = e2)
% 18.77/5.06 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (427), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (428) all_0_9_9 = e1
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (428,240) yields a new equation:
% 18.77/5.06 | (414) e3 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (414) can reduce 147 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (304) ~ (all_0_9_9 = e1)
% 18.77/5.06 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (1798), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (281) all_0_21_21 = e2
% 18.77/5.06 |
% 18.77/5.06 | Equations (281) can reduce 1811 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (1811) ~ (all_0_21_21 = e2)
% 18.77/5.06 | (1812) all_0_22_22 = e2 | all_0_23_23 = e2
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (431), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (255) all_0_10_10 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (255) can reduce 145 to:
% 18.77/5.06 | (698) ~ (all_0_22_22 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 698 yields:
% 18.77/5.06 | (699) ~ (all_0_22_22 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Equations (255) can reduce 202 to:
% 18.77/5.06 | (438) ~ (e3 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 438 yields:
% 18.77/5.06 | (147) ~ (e3 = e1)
% 18.77/5.06 |
% 18.77/5.06 | Equations (255) can reduce 599 to:
% 18.77/5.06 | (90) ~ (e1 = e0)
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (1812), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (725) all_0_22_22 = e2
% 18.77/5.06 |
% 18.77/5.06 | Equations (725) can reduce 699 to:
% 18.77/5.06 | (49) ~ (e2 = e1)
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (105), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (691) all_0_20_20 = e1
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (266,691) yields a new equation:
% 18.77/5.06 | (372) e1 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (372) can reduce 90 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (839) ~ (all_0_20_20 = e1)
% 18.77/5.06 | (5132) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (5132), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (1292) all_0_21_21 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (1292) can reduce 142 to:
% 18.77/5.06 | (167) ~ (all_0_13_13 = e1)
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (25), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (336) all_0_13_13 = e3
% 18.77/5.06 |
% 18.77/5.06 | Equations (336) can reduce 216 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (216) ~ (all_0_13_13 = e3)
% 18.77/5.06 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (1157), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (727) all_0_13_13 = e2
% 18.77/5.06 |
% 18.77/5.06 | Equations (727) can reduce 242 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.06 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (2338), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (679) all_0_13_13 = e1
% 18.77/5.06 |
% 18.77/5.06 | Equations (679) can reduce 167 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (167) ~ (all_0_13_13 = e1)
% 18.77/5.06 | (507) all_0_13_13 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (507) can reduce 84 to:
% 18.77/5.06 | (1149) ~ (all_0_15_15 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 1149 yields:
% 18.77/5.06 | (184) ~ (all_0_15_15 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Equations (507) can reduce 216 to:
% 18.77/5.06 | (189) ~ (e3 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 189 yields:
% 18.77/5.06 | (107) ~ (e3 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Equations (507) can reduce 167 to:
% 18.77/5.06 | (193) ~ (e1 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 193 yields:
% 18.77/5.06 | (90) ~ (e1 = e0)
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (30), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (511) ~ (all_0_13_13 = e0)
% 18.77/5.06 |
% 18.77/5.06 | Equations (507) can reduce 511 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (507) all_0_13_13 = e0
% 18.77/5.06 | (280) all_0_15_15 = e2
% 18.77/5.06 |
% 18.77/5.06 | Equations (280) can reduce 329 to:
% 18.77/5.06 | (499) ~ (e3 = e2)
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 499 yields:
% 18.77/5.06 | (69) ~ (e3 = e2)
% 18.77/5.06 |
% 18.77/5.06 | Equations (280) can reduce 184 to:
% 18.77/5.06 | (137) ~ (e2 = e0)
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (51), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (198) all_0_8_8 = e3
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (198,1100) yields a new equation:
% 18.77/5.06 | (532) e3 = e2
% 18.77/5.06 |
% 18.77/5.06 | Simplifying 532 yields:
% 18.77/5.06 | (533) e3 = e2
% 18.77/5.06 |
% 18.77/5.06 | Equations (533) can reduce 69 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.06 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (4222), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (727) all_0_13_13 = e2
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (507,727) yields a new equation:
% 18.77/5.06 | (490) e2 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (490) can reduce 137 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.06 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 18.77/5.06 |
% 18.77/5.06 +-Applying beta-rule and splitting (4238), into two cases.
% 18.77/5.06 |-Branch one:
% 18.77/5.06 | (226) all_0_18_18 = e1
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (300,226) yields a new equation:
% 18.77/5.06 | (372) e1 = e0
% 18.77/5.06 |
% 18.77/5.06 | Equations (372) can reduce 90 to:
% 18.77/5.06 | (172) $false
% 18.77/5.06 |
% 18.77/5.06 |-The branch is then unsatisfiable
% 18.77/5.06 |-Branch two:
% 18.77/5.06 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.06 | (182) all_0_23_23 = e0
% 18.77/5.06 |
% 18.77/5.06 | Combining equations (182,171) yields a new equation:
% 18.77/5.06 | (365) e3 = e0
% 18.77/5.06 |
% 18.77/5.07 | Equations (365) can reduce 107 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (312) ~ (all_0_21_21 = e1)
% 18.77/5.07 | (5179) all_0_22_22 = e1 | all_0_23_23 = e1
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (5179), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (291) all_0_22_22 = e1
% 18.77/5.07 |
% 18.77/5.07 | Combining equations (725,291) yields a new equation:
% 18.77/5.07 | (716) e2 = e1
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 716 yields:
% 18.77/5.07 | (388) e2 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (388) can reduce 49 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (699) ~ (all_0_22_22 = e1)
% 18.77/5.07 | (179) all_0_23_23 = e1
% 18.77/5.07 |
% 18.77/5.07 | Combining equations (179,171) yields a new equation:
% 18.77/5.07 | (414) e3 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (414) can reduce 147 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (933) ~ (all_0_22_22 = e2)
% 18.77/5.07 | (175) all_0_23_23 = e2
% 18.77/5.07 |
% 18.77/5.07 | Combining equations (171,175) yields a new equation:
% 18.77/5.07 | (532) e3 = e2
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 532 yields:
% 18.77/5.07 | (533) e3 = e2
% 18.77/5.07 |
% 18.77/5.07 | Equations (533) can reduce 69 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (394) ~ (all_0_10_10 = e1)
% 18.77/5.07 | (437) all_0_11_11 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (437) can reduce 600 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (1004) ~ (all_0_17_17 = e2)
% 18.77/5.07 | (2072) all_0_17_17 = e1 | all_0_17_17 = e0
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (2072), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (276) all_0_17_17 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (276) can reduce 228 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (228) ~ (all_0_17_17 = e1)
% 18.77/5.07 | (482) all_0_17_17 = e0
% 18.77/5.07 |
% 18.77/5.07 | Equations (482) can reduce 486 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (660) ~ (all_0_12_12 = e1)
% 18.77/5.07 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (2185), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (246) all_0_12_12 = e2
% 18.77/5.07 |
% 18.77/5.07 | Equations (246) can reduce 711 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (711) ~ (all_0_12_12 = e2)
% 18.77/5.07 | (2189) all_0_12_12 = e1 | all_0_12_12 = e0
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (2189), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (657) all_0_12_12 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (657) can reduce 660 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (660) ~ (all_0_12_12 = e1)
% 18.77/5.07 | (501) all_0_12_12 = e0
% 18.77/5.07 |
% 18.77/5.07 | Equations (501) can reduce 505 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (444) ~ (all_0_14_14 = e3)
% 18.77/5.07 | (915) all_0_18_18 = e3 | all_0_22_22 = e3
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (915), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (218) all_0_18_18 = e3
% 18.77/5.07 |
% 18.77/5.07 | Equations (218) can reduce 214 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (214) ~ (all_0_18_18 = e3)
% 18.77/5.07 | (902) all_0_22_22 = e3
% 18.77/5.07 |
% 18.77/5.07 | Equations (902) can reduce 881 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (208) ~ (all_0_16_16 = e3)
% 18.77/5.07 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (648), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (413) all_0_17_17 = e3
% 18.77/5.07 |
% 18.77/5.07 | Equations (413) can reduce 416 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (416) ~ (all_0_17_17 = e3)
% 18.77/5.07 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (862), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (218) all_0_18_18 = e3
% 18.77/5.07 |
% 18.77/5.07 | Equations (218) can reduce 214 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (214) ~ (all_0_18_18 = e3)
% 18.77/5.07 | (327) all_0_19_19 = e3
% 18.77/5.07 |
% 18.77/5.07 | Equations (327) can reduce 469 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (218) all_0_18_18 = e3
% 18.77/5.07 | (256) all_0_16_16 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (256) can reduce 71 to:
% 18.77/5.07 | (660) ~ (all_0_12_12 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Equations (218) can reduce 21 to:
% 18.77/5.07 | (444) ~ (all_0_14_14 = e3)
% 18.77/5.07 |
% 18.77/5.07 | Equations (256) can reduce 148 to:
% 18.77/5.07 | (976) ~ (all_0_17_17 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 976 yields:
% 18.77/5.07 | (228) ~ (all_0_17_17 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Equations (256) can reduce 32 to:
% 18.77/5.07 | (309) ~ (all_0_19_19 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 309 yields:
% 18.77/5.07 | (310) ~ (all_0_19_19 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Equations (256) can reduce 480 to:
% 18.77/5.07 | (90) ~ (e1 = e0)
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (109), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (198) all_0_8_8 = e3
% 18.77/5.07 |
% 18.77/5.07 | Combining equations (198,1100) yields a new equation:
% 18.77/5.07 | (532) e3 = e2
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 532 yields:
% 18.77/5.07 | (533) e3 = e2
% 18.77/5.07 |
% 18.77/5.07 | Equations (533) can reduce 69 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.07 | (1179) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (96), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (657) all_0_12_12 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (657) can reduce 660 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (660) ~ (all_0_12_12 = e1)
% 18.77/5.07 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (661), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (679) all_0_13_13 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (679) can reduce 167 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (167) ~ (all_0_13_13 = e1)
% 18.77/5.07 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (1179), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (241) all_0_12_12 = e3
% 18.77/5.07 |
% 18.77/5.07 | Equations (241) can reduce 112 to:
% 18.77/5.07 | (1613) ~ (all_0_13_13 = e3)
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 1613 yields:
% 18.77/5.07 | (216) ~ (all_0_13_13 = e3)
% 18.77/5.07 |
% 18.77/5.07 | Equations (241) can reduce 711 to:
% 18.77/5.07 | (69) ~ (e3 = e2)
% 18.77/5.07 |
% 18.77/5.07 | Equations (241) can reduce 660 to:
% 18.77/5.07 | (147) ~ (e3 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Equations (241) can reduce 505 to:
% 18.77/5.07 | (107) ~ (e3 = e0)
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (64), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (428) all_0_9_9 = e1
% 18.77/5.07 |
% 18.77/5.07 | Combining equations (240,428) yields a new equation:
% 18.77/5.07 | (441) e3 = e1
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 441 yields:
% 18.77/5.07 | (414) e3 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (414) can reduce 147 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (304) ~ (all_0_9_9 = e1)
% 18.77/5.07 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (240) can reduce 304 to:
% 18.77/5.07 | (147) ~ (e3 = e1)
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (51), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (198) all_0_8_8 = e3
% 18.77/5.07 |
% 18.77/5.07 | Combining equations (198,1100) yields a new equation:
% 18.77/5.07 | (532) e3 = e2
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 532 yields:
% 18.77/5.07 | (533) e3 = e2
% 18.77/5.07 |
% 18.77/5.07 | Equations (533) can reduce 69 to:
% 18.77/5.07 | (172) $false
% 18.77/5.07 |
% 18.77/5.07 |-The branch is then unsatisfiable
% 18.77/5.07 |-Branch two:
% 18.77/5.07 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.07 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (6), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (437) all_0_11_11 = e1
% 18.77/5.07 |
% 18.77/5.07 | Equations (437) can reduce 52 to:
% 18.77/5.07 | (394) ~ (all_0_10_10 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Equations (437) can reduce 115 to:
% 18.77/5.07 | (309) ~ (all_0_19_19 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 309 yields:
% 18.77/5.07 | (310) ~ (all_0_19_19 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Equations (437) can reduce 204 to:
% 18.77/5.07 | (438) ~ (e3 = e1)
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 438 yields:
% 18.77/5.07 | (147) ~ (e3 = e1)
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (4222), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (727) all_0_13_13 = e2
% 18.77/5.07 |
% 18.77/5.07 | Equations (727) can reduce 5 to:
% 18.77/5.07 | (2535) ~ (all_0_17_17 = e2)
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 2535 yields:
% 18.77/5.07 | (1004) ~ (all_0_17_17 = e2)
% 18.77/5.07 |
% 18.77/5.07 | Equations (727) can reduce 142 to:
% 18.77/5.07 | (3039) ~ (all_0_21_21 = e2)
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 3039 yields:
% 18.77/5.07 | (1811) ~ (all_0_21_21 = e2)
% 18.77/5.07 |
% 18.77/5.07 | Equations (727) can reduce 216 to:
% 18.77/5.07 | (499) ~ (e3 = e2)
% 18.77/5.07 |
% 18.77/5.07 | Simplifying 499 yields:
% 18.77/5.07 | (69) ~ (e3 = e2)
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (152), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (229), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (230), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (231), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (232), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (233), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.07 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.77/5.07 |
% 18.77/5.07 +-Applying beta-rule and splitting (234), into two cases.
% 18.77/5.07 |-Branch one:
% 18.77/5.08 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (235), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (236), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (237), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (238), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (239) yields:
% 18.77/5.08 | (240) all_0_9_9 = e3
% 18.77/5.08 | (241) all_0_12_12 = e3
% 18.77/5.08 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.08 |
% 18.77/5.08 | Equations (727) can reduce 242 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (244) yields:
% 18.77/5.08 | (245) all_0_9_9 = e2
% 18.77/5.08 | (246) all_0_12_12 = e2
% 18.77/5.08 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (246,241) yields a new equation:
% 18.77/5.08 | (533) e3 = e2
% 18.77/5.08 |
% 18.77/5.08 | Equations (533) can reduce 69 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (249) yields:
% 18.77/5.08 | (250) all_0_10_10 = e3
% 18.77/5.08 | (251) all_0_16_16 = e3
% 18.77/5.08 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (256,251) yields a new equation:
% 18.77/5.08 | (414) e3 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (414) can reduce 147 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (254) yields:
% 18.77/5.08 | (255) all_0_10_10 = e1
% 18.77/5.08 | (256) all_0_16_16 = e1
% 18.77/5.08 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.08 |
% 18.77/5.08 | Equations (255) can reduce 394 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (259) yields:
% 18.77/5.08 | (260) all_0_11_11 = e3
% 18.77/5.08 | (261) all_0_20_20 = e3
% 18.77/5.08 | (262) ~ (all_0_23_23 = e0)
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (260,437) yields a new equation:
% 18.77/5.08 | (441) e3 = e1
% 18.77/5.08 |
% 18.77/5.08 | Simplifying 441 yields:
% 18.77/5.08 | (414) e3 = e1
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (261,266) yields a new equation:
% 18.77/5.08 | (364) e3 = e0
% 18.77/5.08 |
% 18.77/5.08 | Simplifying 364 yields:
% 18.77/5.08 | (365) e3 = e0
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (414,365) yields a new equation:
% 18.77/5.08 | (371) e1 = e0
% 18.77/5.08 |
% 18.77/5.08 | Simplifying 371 yields:
% 18.77/5.08 | (372) e1 = e0
% 18.77/5.08 |
% 18.77/5.08 | Equations (372) can reduce 90 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (264) yields:
% 18.77/5.08 | (265) all_0_11_11 = e0
% 18.77/5.08 | (266) all_0_20_20 = e0
% 18.77/5.08 | (247) ~ (all_0_8_8 = e3)
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (265,437) yields a new equation:
% 18.77/5.08 | (372) e1 = e0
% 18.77/5.08 |
% 18.77/5.08 | Equations (372) can reduce 90 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (269) yields:
% 18.77/5.08 | (270) all_0_14_14 = e2
% 18.77/5.08 | (271) all_0_17_17 = e2
% 18.77/5.08 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.08 |
% 18.77/5.08 | Equations (271) can reduce 1004 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (274) yields:
% 18.77/5.08 | (275) all_0_14_14 = e1
% 18.77/5.08 | (276) all_0_17_17 = e1
% 18.77/5.08 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.08 |
% 18.77/5.08 | Equations (276) can reduce 228 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (279) yields:
% 18.77/5.08 | (280) all_0_15_15 = e2
% 18.77/5.08 | (281) all_0_21_21 = e2
% 18.77/5.08 | (262) ~ (all_0_23_23 = e0)
% 18.77/5.08 |
% 18.77/5.08 | Equations (281) can reduce 1811 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (284) yields:
% 18.77/5.08 | (285) all_0_15_15 = e0
% 18.77/5.08 | (286) all_0_21_21 = e0
% 18.77/5.08 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.08 |
% 18.77/5.08 | Equations (286) can reduce 187 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (289) yields:
% 18.77/5.08 | (290) all_0_19_19 = e1
% 18.77/5.08 | (291) all_0_22_22 = e1
% 18.77/5.08 | (262) ~ (all_0_23_23 = e0)
% 18.77/5.08 |
% 18.77/5.08 | Equations (290) can reduce 310 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.77/5.08 |
% 18.77/5.08 | Applying alpha-rule on (294) yields:
% 18.77/5.08 | (295) all_0_19_19 = e0
% 18.77/5.08 | (296) all_0_22_22 = e0
% 18.77/5.08 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.08 |
% 18.77/5.08 | Equations (296) can reduce 188 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (242) ~ (all_0_13_13 = e2)
% 18.77/5.08 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (1283), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (679) all_0_13_13 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (679) can reduce 167 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (167) ~ (all_0_13_13 = e1)
% 18.77/5.08 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (1287), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (276) all_0_17_17 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (276) can reduce 228 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (228) ~ (all_0_17_17 = e1)
% 18.77/5.08 | (1292) all_0_21_21 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (1292) can reduce 1618 to:
% 18.77/5.08 | (438) ~ (e3 = e1)
% 18.77/5.08 |
% 18.77/5.08 | Simplifying 438 yields:
% 18.77/5.08 | (147) ~ (e3 = e1)
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (4238), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (226) all_0_18_18 = e1
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (218,226) yields a new equation:
% 18.77/5.08 | (441) e3 = e1
% 18.77/5.08 |
% 18.77/5.08 | Simplifying 441 yields:
% 18.77/5.08 | (414) e3 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (414) can reduce 147 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (252) ~ (all_0_18_18 = e1)
% 18.77/5.08 | (182) all_0_23_23 = e0
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (171,182) yields a new equation:
% 18.77/5.08 | (364) e3 = e0
% 18.77/5.08 |
% 18.77/5.08 | Simplifying 364 yields:
% 18.77/5.08 | (365) e3 = e0
% 18.77/5.08 |
% 18.77/5.08 | Equations (365) can reduce 107 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (600) ~ (all_0_11_11 = e1)
% 18.77/5.08 | (3607) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (3607), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (836) all_0_15_15 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (836) can reduce 602 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (602) ~ (all_0_15_15 = e1)
% 18.77/5.08 | (5392) all_0_19_19 = e1 | all_0_23_23 = e1
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (5392), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (290) all_0_19_19 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (290) can reduce 310 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (310) ~ (all_0_19_19 = e1)
% 18.77/5.08 | (179) all_0_23_23 = e1
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (179,171) yields a new equation:
% 18.77/5.08 | (414) e3 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (414) can reduce 147 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (206) ~ (all_0_12_12 = e3)
% 18.77/5.08 | (2315) all_0_16_16 = e3 | all_0_20_20 = e3
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (682), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (275) all_0_14_14 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (275) can reduce 444 to:
% 18.77/5.08 | (438) ~ (e3 = e1)
% 18.77/5.08 |
% 18.77/5.08 | Simplifying 438 yields:
% 18.77/5.08 | (147) ~ (e3 = e1)
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (2315), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (251) all_0_16_16 = e3
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (256,251) yields a new equation:
% 18.77/5.08 | (414) e3 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (414) can reduce 147 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (208) ~ (all_0_16_16 = e3)
% 18.77/5.08 | (261) all_0_20_20 = e3
% 18.77/5.08 |
% 18.77/5.08 | Combining equations (266,261) yields a new equation:
% 18.77/5.08 | (365) e3 = e0
% 18.77/5.08 |
% 18.77/5.08 | Equations (365) can reduce 107 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (835) ~ (all_0_14_14 = e1)
% 18.77/5.08 | (836) all_0_15_15 = e1
% 18.77/5.08 |
% 18.77/5.08 | Equations (836) can reduce 602 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (5414) all_0_0_0 = e1
% 18.77/5.08 | (5415) ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e3)
% 18.77/5.08 |
% 18.77/5.08 +-Applying beta-rule and splitting (5415), into two cases.
% 18.77/5.08 |-Branch one:
% 18.77/5.08 | (5416) ~ (all_0_1_1 = e2)
% 18.77/5.08 |
% 18.77/5.08 | Equations (4850) can reduce 5416 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (4850) all_0_1_1 = e2
% 18.77/5.08 | (170) ~ (all_0_23_23 = e3)
% 18.77/5.08 |
% 18.77/5.08 | Equations (171) can reduce 170 to:
% 18.77/5.08 | (172) $false
% 18.77/5.08 |
% 18.77/5.08 |-The branch is then unsatisfiable
% 18.77/5.08 |-Branch two:
% 18.77/5.08 | (175) all_0_23_23 = e2
% 18.77/5.08 | (286) all_0_21_21 = e0
% 18.77/5.08 |
% 18.77/5.08 | Equations (286) can reduce 17 to:
% 18.77/5.08 | (842) ~ (all_0_9_9 = e0)
% 18.77/5.08 |
% 18.77/5.08 | Equations (175) can reduce 67 to:
% 18.77/5.08 | (953) ~ (all_0_11_11 = e2)
% 18.77/5.08 |
% 18.77/5.08 | Equations (286) can reduce 142 to:
% 18.77/5.08 | (511) ~ (all_0_13_13 = e0)
% 18.77/5.08 |
% 18.77/5.08 | Equations (175) can reduce 46 to:
% 18.77/5.08 | (1585) ~ (all_0_15_15 = e2)
% 18.77/5.08 |
% 18.77/5.09 | Equations (286) can reduce 154 to:
% 18.77/5.09 | (486) ~ (all_0_17_17 = e0)
% 18.77/5.09 |
% 18.77/5.09 | Equations (175) can reduce 7 to:
% 18.77/5.09 | (314) ~ (all_0_19_19 = e2)
% 18.77/5.09 |
% 18.77/5.09 | Equations (286) can reduce 75 to:
% 18.77/5.09 | (186) ~ (all_0_20_20 = e0)
% 18.77/5.09 |
% 18.77/5.09 | Equations (175) can reduce 165 to:
% 18.77/5.09 | (668) ~ (all_0_20_20 = e2)
% 18.77/5.09 |
% 18.77/5.09 | Equations (286) can reduce 131 to:
% 18.77/5.09 | (514) ~ (all_0_22_22 = e0)
% 18.77/5.09 |
% 18.77/5.09 | Simplifying 514 yields:
% 18.77/5.09 | (188) ~ (all_0_22_22 = e0)
% 18.77/5.09 |
% 18.77/5.09 | Equations (286,175) can reduce 158 to:
% 18.77/5.09 | (191) ~ (e2 = e0)
% 18.77/5.09 |
% 18.77/5.09 | Simplifying 191 yields:
% 18.77/5.09 | (137) ~ (e2 = e0)
% 18.77/5.09 |
% 18.77/5.09 | Equations (175) can reduce 55 to:
% 18.77/5.09 | (933) ~ (all_0_22_22 = e2)
% 18.77/5.09 |
% 18.77/5.09 | From (175)(175) and (78) follows:
% 18.77/5.09 | (5436) op(e2, e2) = all_0_1_1
% 18.77/5.09 |
% 18.77/5.09 | From (175) and (2) follows:
% 18.77/5.09 | (5437) op(e0, e0) = e2
% 18.77/5.09 |
% 18.77/5.09 | Instantiating formula (143) with e2, e2, all_0_1_1, all_0_13_13 and discharging atoms op(e2, e2) = all_0_1_1, op(e2, e2) = all_0_13_13, yields:
% 18.77/5.09 | (5438) all_0_1_1 = all_0_13_13
% 18.77/5.09 |
% 18.77/5.09 | From (5438) and (29) follows:
% 18.77/5.09 | (5439) op(all_0_13_13, e0) = all_0_0_0
% 18.77/5.09 |
% 18.77/5.09 +-Applying beta-rule and splitting (140), into two cases.
% 18.77/5.09 |-Branch one:
% 18.77/5.09 | (196) ~ (all_0_8_8 = e2)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (77), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (215) ~ (all_0_18_18 = e0)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (95), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (195) ~ (all_0_8_8 = e1)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (40), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (217) ~ (all_0_18_18 = e2)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (124), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (197) ~ (all_0_8_8 = e0)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (94), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (198) all_0_8_8 = e3
% 18.98/5.09 |
% 18.98/5.09 | Equations (198) can reduce 35 to:
% 18.98/5.09 | (205) ~ (all_0_12_12 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Simplifying 205 yields:
% 18.98/5.09 | (206) ~ (all_0_12_12 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Equations (198) can reduce 166 to:
% 18.98/5.09 | (209) ~ (all_0_20_20 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Simplifying 209 yields:
% 18.98/5.09 | (210) ~ (all_0_20_20 = e3)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (72), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (261) all_0_20_20 = e3
% 18.98/5.09 |
% 18.98/5.09 | Equations (261) can reduce 210 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (210) ~ (all_0_20_20 = e3)
% 18.98/5.09 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (686), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (687) all_0_20_20 = e2
% 18.98/5.09 |
% 18.98/5.09 | Equations (687) can reduce 668 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (668) ~ (all_0_20_20 = e2)
% 18.98/5.09 | (690) all_0_20_20 = e1 | all_0_20_20 = e0
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (690), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (691) all_0_20_20 = e1
% 18.98/5.09 |
% 18.98/5.09 | Equations (691) can reduce 41 to:
% 18.98/5.09 | (660) ~ (all_0_12_12 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Equations (691) can reduce 87 to:
% 18.98/5.09 | (698) ~ (all_0_22_22 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Simplifying 698 yields:
% 18.98/5.09 | (699) ~ (all_0_22_22 = e1)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (47), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (902) all_0_22_22 = e3
% 18.98/5.09 |
% 18.98/5.09 | Equations (902) can reduce 101 to:
% 18.98/5.09 | (214) ~ (all_0_18_18 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Equations (902) can reduce 188 to:
% 18.98/5.09 | (107) ~ (e3 = e0)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (163), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (218) all_0_18_18 = e3
% 18.98/5.09 |
% 18.98/5.09 | Equations (218) can reduce 214 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (214) ~ (all_0_18_18 = e3)
% 18.98/5.09 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (221), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (222) all_0_18_18 = e2
% 18.98/5.09 |
% 18.98/5.09 | Equations (222) can reduce 217 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (217) ~ (all_0_18_18 = e2)
% 18.98/5.09 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (225), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (226) all_0_18_18 = e1
% 18.98/5.09 |
% 18.98/5.09 | Equations (226) can reduce 21 to:
% 18.98/5.09 | (835) ~ (all_0_14_14 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Equations (226) can reduce 108 to:
% 18.98/5.09 | (227) ~ (all_0_16_16 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Equations (226) can reduce 121 to:
% 18.98/5.09 | (228) ~ (all_0_17_17 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Equations (226) can reduce 123 to:
% 18.98/5.09 | (309) ~ (all_0_19_19 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Simplifying 309 yields:
% 18.98/5.09 | (310) ~ (all_0_19_19 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Equations (226) can reduce 214 to:
% 18.98/5.09 | (438) ~ (e3 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Simplifying 438 yields:
% 18.98/5.09 | (147) ~ (e3 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Equations (226) can reduce 215 to:
% 18.98/5.09 | (90) ~ (e1 = e0)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (152), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (229), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (230), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (231), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (232), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (233), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (234), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (235), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (236), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (237), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (238), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (239) yields:
% 18.98/5.09 | (240) all_0_9_9 = e3
% 18.98/5.09 | (241) all_0_12_12 = e3
% 18.98/5.09 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.09 |
% 18.98/5.09 | Equations (241) can reduce 206 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (244) yields:
% 18.98/5.09 | (245) all_0_9_9 = e2
% 18.98/5.09 | (246) all_0_12_12 = e2
% 18.98/5.09 | (247) ~ (all_0_8_8 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Equations (198) can reduce 247 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (249) yields:
% 18.98/5.09 | (250) all_0_10_10 = e3
% 18.98/5.09 | (251) all_0_16_16 = e3
% 18.98/5.09 | (252) ~ (all_0_18_18 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Equations (226) can reduce 252 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (254) yields:
% 18.98/5.09 | (255) all_0_10_10 = e1
% 18.98/5.09 | (256) all_0_16_16 = e1
% 18.98/5.09 | (247) ~ (all_0_8_8 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Equations (256) can reduce 227 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (259) yields:
% 18.98/5.09 | (260) all_0_11_11 = e3
% 18.98/5.09 | (261) all_0_20_20 = e3
% 18.98/5.09 | (262) ~ (all_0_23_23 = e0)
% 18.98/5.09 |
% 18.98/5.09 | Combining equations (261,691) yields a new equation:
% 18.98/5.09 | (441) e3 = e1
% 18.98/5.09 |
% 18.98/5.09 | Simplifying 441 yields:
% 18.98/5.09 | (414) e3 = e1
% 18.98/5.09 |
% 18.98/5.09 | Equations (414) can reduce 147 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (264) yields:
% 18.98/5.09 | (265) all_0_11_11 = e0
% 18.98/5.09 | (266) all_0_20_20 = e0
% 18.98/5.09 | (247) ~ (all_0_8_8 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Combining equations (266,691) yields a new equation:
% 18.98/5.09 | (372) e1 = e0
% 18.98/5.09 |
% 18.98/5.09 | Equations (372) can reduce 90 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (269) yields:
% 18.98/5.09 | (270) all_0_14_14 = e2
% 18.98/5.09 | (271) all_0_17_17 = e2
% 18.98/5.09 | (252) ~ (all_0_18_18 = e1)
% 18.98/5.09 |
% 18.98/5.09 | Equations (226) can reduce 252 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (274) yields:
% 18.98/5.09 | (275) all_0_14_14 = e1
% 18.98/5.09 | (276) all_0_17_17 = e1
% 18.98/5.09 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.09 |
% 18.98/5.09 | Equations (276) can reduce 228 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (279) yields:
% 18.98/5.09 | (280) all_0_15_15 = e2
% 18.98/5.09 | (281) all_0_21_21 = e2
% 18.98/5.09 | (262) ~ (all_0_23_23 = e0)
% 18.98/5.09 |
% 18.98/5.09 | Combining equations (281,286) yields a new equation:
% 18.98/5.09 | (489) e2 = e0
% 18.98/5.09 |
% 18.98/5.09 | Simplifying 489 yields:
% 18.98/5.09 | (490) e2 = e0
% 18.98/5.09 |
% 18.98/5.09 | Equations (490) can reduce 137 to:
% 18.98/5.09 | (172) $false
% 18.98/5.09 |
% 18.98/5.09 |-The branch is then unsatisfiable
% 18.98/5.09 |-Branch two:
% 18.98/5.09 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.98/5.09 |
% 18.98/5.09 | Applying alpha-rule on (284) yields:
% 18.98/5.09 | (285) all_0_15_15 = e0
% 18.98/5.09 | (286) all_0_21_21 = e0
% 18.98/5.09 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.09 |
% 18.98/5.09 | Equations (285) can reduce 84 to:
% 18.98/5.09 | (511) ~ (all_0_13_13 = e0)
% 18.98/5.09 |
% 18.98/5.09 | Equations (285) can reduce 149 to:
% 18.98/5.09 | (321) ~ (all_0_19_19 = e0)
% 18.98/5.09 |
% 18.98/5.09 | Simplifying 321 yields:
% 18.98/5.09 | (185) ~ (all_0_19_19 = e0)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (25), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (336) all_0_13_13 = e3
% 18.98/5.09 |
% 18.98/5.09 | Equations (336) can reduce 18 to:
% 18.98/5.09 | (200) ~ (all_0_9_9 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Equations (336) can reduce 5 to:
% 18.98/5.09 | (1615) ~ (all_0_17_17 = e3)
% 18.98/5.09 |
% 18.98/5.09 | Simplifying 1615 yields:
% 18.98/5.09 | (416) ~ (all_0_17_17 = e3)
% 18.98/5.09 |
% 18.98/5.09 +-Applying beta-rule and splitting (153), into two cases.
% 18.98/5.09 |-Branch one:
% 18.98/5.09 | (216) ~ (all_0_13_13 = e3)
% 18.98/5.09 |
% 18.98/5.10 | Equations (336) can reduce 216 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (336) all_0_13_13 = e3
% 18.98/5.10 | (246) all_0_12_12 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (246) can reduce 71 to:
% 18.98/5.10 | (1606) ~ (all_0_16_16 = e2)
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 1606 yields:
% 18.98/5.10 | (854) ~ (all_0_16_16 = e2)
% 18.98/5.10 |
% 18.98/5.10 | Equations (246) can reduce 660 to:
% 18.98/5.10 | (49) ~ (e2 = e1)
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (19), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (666) all_0_16_16 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (666) can reduce 854 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (854) ~ (all_0_16_16 = e2)
% 18.98/5.10 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (1000), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (271) all_0_17_17 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (271) can reduce 13 to:
% 18.98/5.10 | (636) ~ (all_0_9_9 = e2)
% 18.98/5.10 |
% 18.98/5.10 | Equations (271) can reduce 150 to:
% 18.98/5.10 | (313) ~ (all_0_19_19 = e2)
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 313 yields:
% 18.98/5.10 | (314) ~ (all_0_19_19 = e2)
% 18.98/5.10 |
% 18.98/5.10 | Equations (271) can reduce 416 to:
% 18.98/5.10 | (499) ~ (e3 = e2)
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 499 yields:
% 18.98/5.10 | (69) ~ (e3 = e2)
% 18.98/5.10 |
% 18.98/5.10 | Equations (271) can reduce 486 to:
% 18.98/5.10 | (137) ~ (e2 = e0)
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (82), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (1100) all_0_8_8 = e2
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (1100,198) yields a new equation:
% 18.98/5.10 | (533) e3 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (533) can reduce 69 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (196) ~ (all_0_8_8 = e2)
% 18.98/5.10 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (1193), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (245) all_0_9_9 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (245) can reduce 636 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (636) ~ (all_0_9_9 = e2)
% 18.98/5.10 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (4507), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (403) all_0_10_10 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (403) can reduce 79 to:
% 18.98/5.10 | (636) ~ (all_0_9_9 = e2)
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (54), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (320) all_0_16_16 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (320) can reduce 32 to:
% 18.98/5.10 | (321) ~ (all_0_19_19 = e0)
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 321 yields:
% 18.98/5.10 | (185) ~ (all_0_19_19 = e0)
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (61), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (240) all_0_9_9 = e3
% 18.98/5.10 |
% 18.98/5.10 | Equations (240) can reduce 200 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (200) ~ (all_0_9_9 = e3)
% 18.98/5.10 | (4629) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (157), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (327) all_0_19_19 = e3
% 18.98/5.10 |
% 18.98/5.10 | Equations (327) can reduce 185 to:
% 18.98/5.10 | (107) ~ (e3 = e0)
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (4629), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (245) all_0_9_9 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (245) can reduce 636 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (636) ~ (all_0_9_9 = e2)
% 18.98/5.10 | (5594) all_0_9_9 = e1 | all_0_9_9 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (5594), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (428) all_0_9_9 = e1
% 18.98/5.10 |
% 18.98/5.10 | Equations (428) can reduce 200 to:
% 18.98/5.10 | (438) ~ (e3 = e1)
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 438 yields:
% 18.98/5.10 | (147) ~ (e3 = e1)
% 18.98/5.10 |
% 18.98/5.10 | Equations (428) can reduce 636 to:
% 18.98/5.10 | (307) ~ (e2 = e1)
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 307 yields:
% 18.98/5.10 | (49) ~ (e2 = e1)
% 18.98/5.10 |
% 18.98/5.10 | Equations (428) can reduce 842 to:
% 18.98/5.10 | (90) ~ (e1 = e0)
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (96), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (657) all_0_12_12 = e1
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (246,657) yields a new equation:
% 18.98/5.10 | (716) e2 = e1
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 716 yields:
% 18.98/5.10 | (388) e2 = e1
% 18.98/5.10 |
% 18.98/5.10 | Equations (388) can reduce 49 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (660) ~ (all_0_12_12 = e1)
% 18.98/5.10 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (70), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (613) all_0_8_8 = e0
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (613,198) yields a new equation:
% 18.98/5.10 | (365) e3 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (365) can reduce 107 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (197) ~ (all_0_8_8 = e0)
% 18.98/5.10 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (617), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (672) all_0_9_9 = e0
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (428,672) yields a new equation:
% 18.98/5.10 | (371) e1 = e0
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 371 yields:
% 18.98/5.10 | (372) e1 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (372) can reduce 90 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (842) ~ (all_0_9_9 = e0)
% 18.98/5.10 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (428) can reduce 842 to:
% 18.98/5.10 | (90) ~ (e1 = e0)
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (661), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (679) all_0_13_13 = e1
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (336,679) yields a new equation:
% 18.98/5.10 | (441) e3 = e1
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 441 yields:
% 18.98/5.10 | (414) e3 = e1
% 18.98/5.10 |
% 18.98/5.10 | Equations (414) can reduce 147 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (167) ~ (all_0_13_13 = e1)
% 18.98/5.10 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (682), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (275) all_0_14_14 = e1
% 18.98/5.10 |
% 18.98/5.10 | Equations (275) can reduce 835 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (835) ~ (all_0_14_14 = e1)
% 18.98/5.10 | (836) all_0_15_15 = e1
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (285,836) yields a new equation:
% 18.98/5.10 | (372) e1 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (372) can reduce 90 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (304) ~ (all_0_9_9 = e1)
% 18.98/5.10 | (672) all_0_9_9 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (672) can reduce 842 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (469) ~ (all_0_19_19 = e3)
% 18.98/5.10 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (470), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (471) all_0_19_19 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (471) can reduce 314 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (314) ~ (all_0_19_19 = e2)
% 18.98/5.10 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (474), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (290) all_0_19_19 = e1
% 18.98/5.10 |
% 18.98/5.10 | Equations (290) can reduce 310 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (310) ~ (all_0_19_19 = e1)
% 18.98/5.10 | (295) all_0_19_19 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (295) can reduce 185 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (480) ~ (all_0_16_16 = e0)
% 18.98/5.10 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (481), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (482) all_0_17_17 = e0
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (271,482) yields a new equation:
% 18.98/5.10 | (489) e2 = e0
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 489 yields:
% 18.98/5.10 | (490) e2 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (490) can reduce 137 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (486) ~ (all_0_17_17 = e0)
% 18.98/5.10 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (487), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (300) all_0_18_18 = e0
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (226,300) yields a new equation:
% 18.98/5.10 | (371) e1 = e0
% 18.98/5.10 |
% 18.98/5.10 | Simplifying 371 yields:
% 18.98/5.10 | (372) e1 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (372) can reduce 90 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (215) ~ (all_0_18_18 = e0)
% 18.98/5.10 | (295) all_0_19_19 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (295) can reduce 185 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (305) ~ (all_0_10_10 = e2)
% 18.98/5.10 | (635) all_0_11_11 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (635) can reduce 953 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (1004) ~ (all_0_17_17 = e2)
% 18.98/5.10 | (1005) all_0_18_18 = e2 | all_0_19_19 = e2
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (1005), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (222) all_0_18_18 = e2
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (226,222) yields a new equation:
% 18.98/5.10 | (388) e2 = e1
% 18.98/5.10 |
% 18.98/5.10 | Equations (388) can reduce 49 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (217) ~ (all_0_18_18 = e2)
% 18.98/5.10 | (471) all_0_19_19 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (471) can reduce 314 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (216) ~ (all_0_13_13 = e3)
% 18.98/5.10 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (1157), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (727) all_0_13_13 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (727) can reduce 242 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.10 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (2338), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (679) all_0_13_13 = e1
% 18.98/5.10 |
% 18.98/5.10 | Equations (679) can reduce 167 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (167) ~ (all_0_13_13 = e1)
% 18.98/5.10 | (507) all_0_13_13 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (507) can reduce 511 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.98/5.10 |
% 18.98/5.10 | Applying alpha-rule on (289) yields:
% 18.98/5.10 | (290) all_0_19_19 = e1
% 18.98/5.10 | (291) all_0_22_22 = e1
% 18.98/5.10 | (262) ~ (all_0_23_23 = e0)
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (291,902) yields a new equation:
% 18.98/5.10 | (414) e3 = e1
% 18.98/5.10 |
% 18.98/5.10 | Equations (414) can reduce 147 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.98/5.10 |
% 18.98/5.10 | Applying alpha-rule on (294) yields:
% 18.98/5.10 | (295) all_0_19_19 = e0
% 18.98/5.10 | (296) all_0_22_22 = e0
% 18.98/5.10 | (252) ~ (all_0_18_18 = e1)
% 18.98/5.10 |
% 18.98/5.10 | Combining equations (296,902) yields a new equation:
% 18.98/5.10 | (365) e3 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (365) can reduce 107 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (252) ~ (all_0_18_18 = e1)
% 18.98/5.10 | (300) all_0_18_18 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (300) can reduce 215 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (881) ~ (all_0_22_22 = e3)
% 18.98/5.10 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (905), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (725) all_0_22_22 = e2
% 18.98/5.10 |
% 18.98/5.10 | Equations (725) can reduce 933 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (933) ~ (all_0_22_22 = e2)
% 18.98/5.10 | (934) all_0_22_22 = e1 | all_0_22_22 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (934), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (291) all_0_22_22 = e1
% 18.98/5.10 |
% 18.98/5.10 | Equations (291) can reduce 699 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (699) ~ (all_0_22_22 = e1)
% 18.98/5.10 | (296) all_0_22_22 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (296) can reduce 188 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (839) ~ (all_0_20_20 = e1)
% 18.98/5.10 | (266) all_0_20_20 = e0
% 18.98/5.10 |
% 18.98/5.10 | Equations (266) can reduce 186 to:
% 18.98/5.10 | (172) $false
% 18.98/5.10 |
% 18.98/5.10 |-The branch is then unsatisfiable
% 18.98/5.10 |-Branch two:
% 18.98/5.10 | (247) ~ (all_0_8_8 = e3)
% 18.98/5.10 | (1099) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 18.98/5.10 |
% 18.98/5.10 +-Applying beta-rule and splitting (1099), into two cases.
% 18.98/5.10 |-Branch one:
% 18.98/5.10 | (1100) all_0_8_8 = e2
% 18.98/5.10 |
% 18.98/5.11 | Equations (1100) can reduce 196 to:
% 18.98/5.11 | (172) $false
% 18.98/5.11 |
% 18.98/5.11 |-The branch is then unsatisfiable
% 18.98/5.11 |-Branch two:
% 18.98/5.11 | (196) ~ (all_0_8_8 = e2)
% 18.98/5.11 | (1103) all_0_8_8 = e1 | all_0_8_8 = e0
% 18.98/5.11 |
% 18.98/5.11 +-Applying beta-rule and splitting (1103), into two cases.
% 18.98/5.11 |-Branch one:
% 18.98/5.11 | (423) all_0_8_8 = e1
% 18.98/5.11 |
% 18.98/5.11 | Equations (423) can reduce 195 to:
% 18.98/5.11 | (172) $false
% 18.98/5.11 |
% 18.98/5.11 |-The branch is then unsatisfiable
% 18.98/5.11 |-Branch two:
% 18.98/5.11 | (195) ~ (all_0_8_8 = e1)
% 18.98/5.11 | (613) all_0_8_8 = e0
% 18.98/5.11 |
% 18.98/5.11 | Equations (613) can reduce 197 to:
% 18.98/5.11 | (172) $false
% 18.98/5.11 |
% 18.98/5.11 |-The branch is then unsatisfiable
% 18.98/5.11 |-Branch two:
% 18.98/5.11 | (613) all_0_8_8 = e0
% 18.98/5.11 | (260) all_0_11_11 = e3
% 18.98/5.11 |
% 18.98/5.11 | Equations (613) can reduce 113 to:
% 18.98/5.11 | (1111) ~ (all_0_9_9 = e0)
% 18.98/5.11 |
% 18.98/5.11 | Simplifying 1111 yields:
% 18.98/5.11 | (842) ~ (all_0_9_9 = e0)
% 18.98/5.11 |
% 18.98/5.11 | Equations (613) can reduce 59 to:
% 18.98/5.11 | (1113) ~ (all_0_10_10 = e0)
% 18.98/5.11 |
% 18.98/5.11 | Simplifying 1113 yields:
% 18.98/5.11 | (599) ~ (all_0_10_10 = e0)
% 18.98/5.11 |
% 18.98/5.11 | Equations (613) can reduce 104 to:
% 18.98/5.11 | (641) ~ (all_0_16_16 = e0)
% 18.98/5.11 |
% 18.98/5.11 | Simplifying 641 yields:
% 18.98/5.11 | (480) ~ (all_0_16_16 = e0)
% 18.98/5.11 |
% 18.98/5.11 | Equations (613) can reduce 166 to:
% 18.98/5.11 | (323) ~ (all_0_20_20 = e0)
% 18.98/5.11 |
% 18.98/5.11 | Simplifying 323 yields:
% 18.98/5.11 | (186) ~ (all_0_20_20 = e0)
% 18.98/5.11 |
% 18.98/5.11 | Equations (260) can reduce 97 to:
% 18.98/5.11 | (200) ~ (all_0_9_9 = e3)
% 18.98/5.11 |
% 18.98/5.11 | Equations (260) can reduce 52 to:
% 18.98/5.11 | (202) ~ (all_0_10_10 = e3)
% 18.98/5.11 |
% 18.98/5.11 | Equations (260) can reduce 98 to:
% 18.98/5.11 | (1123) ~ (all_0_15_15 = e3)
% 18.98/5.11 |
% 18.98/5.11 | Simplifying 1123 yields:
% 18.98/5.11 | (329) ~ (all_0_15_15 = e3)
% 18.98/5.11 |
% 18.98/5.11 | Equations (260) can reduce 115 to:
% 18.98/5.11 | (1125) ~ (all_0_19_19 = e3)
% 18.98/5.11 |
% 18.98/5.11 | Simplifying 1125 yields:
% 18.98/5.11 | (469) ~ (all_0_19_19 = e3)
% 18.98/5.11 |
% 18.98/5.11 | Equations (260) can reduce 953 to:
% 18.98/5.11 | (69) ~ (e3 = e2)
% 18.98/5.11 |
% 18.98/5.13 +-Applying beta-rule and splitting (54), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (320) all_0_16_16 = e0
% 18.98/5.13 |
% 18.98/5.13 | Equations (320) can reduce 480 to:
% 18.98/5.13 | (172) $false
% 18.98/5.13 |
% 18.98/5.13 |-The branch is then unsatisfiable
% 18.98/5.13 |-Branch two:
% 18.98/5.13 | (480) ~ (all_0_16_16 = e0)
% 18.98/5.13 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (110), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (410) all_0_10_10 = e0
% 18.98/5.13 |
% 18.98/5.13 | Equations (410) can reduce 599 to:
% 18.98/5.13 | (172) $false
% 18.98/5.13 |
% 18.98/5.13 |-The branch is then unsatisfiable
% 18.98/5.13 |-Branch two:
% 18.98/5.13 | (599) ~ (all_0_10_10 = e0)
% 18.98/5.13 | (1145) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (481), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (482) all_0_17_17 = e0
% 18.98/5.13 |
% 18.98/5.13 | Equations (482) can reduce 486 to:
% 18.98/5.13 | (172) $false
% 18.98/5.13 |
% 18.98/5.13 |-The branch is then unsatisfiable
% 18.98/5.13 |-Branch two:
% 18.98/5.13 | (486) ~ (all_0_17_17 = e0)
% 18.98/5.13 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (1145), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (513) all_0_14_14 = e0
% 18.98/5.13 |
% 18.98/5.13 | Equations (513) can reduce 65 to:
% 18.98/5.13 | (599) ~ (all_0_10_10 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Equations (513) can reduce 127 to:
% 18.98/5.13 | (505) ~ (all_0_12_12 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Equations (513) can reduce 12 to:
% 18.98/5.13 | (511) ~ (all_0_13_13 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Equations (513) can reduce 21 to:
% 18.98/5.13 | (1136) ~ (all_0_18_18 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Simplifying 1136 yields:
% 18.98/5.13 | (215) ~ (all_0_18_18 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Equations (513) can reduce 81 to:
% 18.98/5.13 | (514) ~ (all_0_22_22 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Simplifying 514 yields:
% 18.98/5.13 | (188) ~ (all_0_22_22 = e0)
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (487), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (300) all_0_18_18 = e0
% 18.98/5.13 |
% 18.98/5.13 | Equations (300) can reduce 215 to:
% 18.98/5.13 | (172) $false
% 18.98/5.13 |
% 18.98/5.13 |-The branch is then unsatisfiable
% 18.98/5.13 |-Branch two:
% 18.98/5.13 | (215) ~ (all_0_18_18 = e0)
% 18.98/5.13 | (295) all_0_19_19 = e0
% 18.98/5.13 |
% 18.98/5.13 | Equations (295) can reduce 149 to:
% 18.98/5.13 | (184) ~ (all_0_15_15 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Equations (295) can reduce 150 to:
% 18.98/5.13 | (486) ~ (all_0_17_17 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Equations (295) can reduce 123 to:
% 18.98/5.13 | (215) ~ (all_0_18_18 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Equations (295) can reduce 469 to:
% 18.98/5.13 | (189) ~ (e3 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Simplifying 189 yields:
% 18.98/5.13 | (107) ~ (e3 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Equations (295) can reduce 314 to:
% 18.98/5.13 | (191) ~ (e2 = e0)
% 18.98/5.13 |
% 18.98/5.13 | Simplifying 191 yields:
% 18.98/5.13 | (137) ~ (e2 = e0)
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (48), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (403) all_0_10_10 = e2
% 18.98/5.13 |
% 18.98/5.13 | Equations (403) can reduce 79 to:
% 18.98/5.13 | (636) ~ (all_0_9_9 = e2)
% 18.98/5.13 |
% 18.98/5.13 | Equations (403) can reduce 202 to:
% 18.98/5.13 | (499) ~ (e3 = e2)
% 18.98/5.13 |
% 18.98/5.13 | Simplifying 499 yields:
% 18.98/5.13 | (69) ~ (e3 = e2)
% 18.98/5.13 |
% 18.98/5.13 | Equations (403) can reduce 599 to:
% 18.98/5.13 | (137) ~ (e2 = e0)
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (61), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (240) all_0_9_9 = e3
% 18.98/5.13 |
% 18.98/5.13 | Equations (240) can reduce 200 to:
% 18.98/5.13 | (172) $false
% 18.98/5.13 |
% 18.98/5.13 |-The branch is then unsatisfiable
% 18.98/5.13 |-Branch two:
% 18.98/5.13 | (200) ~ (all_0_9_9 = e3)
% 18.98/5.13 | (4629) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (4629), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (245) all_0_9_9 = e2
% 18.98/5.13 |
% 18.98/5.13 | Equations (245) can reduce 636 to:
% 18.98/5.13 | (172) $false
% 18.98/5.13 |
% 18.98/5.13 |-The branch is then unsatisfiable
% 18.98/5.13 |-Branch two:
% 18.98/5.13 | (636) ~ (all_0_9_9 = e2)
% 18.98/5.13 | (5594) all_0_9_9 = e1 | all_0_9_9 = e0
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (5594), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (428) all_0_9_9 = e1
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (28), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (419) all_0_15_15 = e3
% 18.98/5.13 |
% 18.98/5.13 | Equations (419) can reduce 329 to:
% 18.98/5.13 | (172) $false
% 18.98/5.13 |
% 18.98/5.13 |-The branch is then unsatisfiable
% 18.98/5.13 |-Branch two:
% 18.98/5.13 | (329) ~ (all_0_15_15 = e3)
% 18.98/5.13 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (422), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (280) all_0_15_15 = e2
% 18.98/5.13 |
% 18.98/5.13 | Equations (280) can reduce 1585 to:
% 18.98/5.13 | (172) $false
% 18.98/5.13 |
% 18.98/5.13 |-The branch is then unsatisfiable
% 18.98/5.13 |-Branch two:
% 18.98/5.13 | (1585) ~ (all_0_15_15 = e2)
% 18.98/5.13 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (1586), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (836) all_0_15_15 = e1
% 18.98/5.13 |
% 18.98/5.13 | Equations (836) can reduce 162 to:
% 18.98/5.13 | (660) ~ (all_0_12_12 = e1)
% 18.98/5.13 |
% 18.98/5.13 | Equations (836) can reduce 329 to:
% 18.98/5.13 | (438) ~ (e3 = e1)
% 18.98/5.13 |
% 18.98/5.13 | Simplifying 438 yields:
% 18.98/5.13 | (147) ~ (e3 = e1)
% 18.98/5.13 |
% 18.98/5.13 | Equations (836) can reduce 1585 to:
% 18.98/5.13 | (307) ~ (e2 = e1)
% 18.98/5.13 |
% 18.98/5.13 | Simplifying 307 yields:
% 18.98/5.13 | (49) ~ (e2 = e1)
% 18.98/5.13 |
% 18.98/5.13 | Equations (836) can reduce 184 to:
% 18.98/5.13 | (90) ~ (e1 = e0)
% 18.98/5.13 |
% 18.98/5.13 +-Applying beta-rule and splitting (152), into two cases.
% 18.98/5.13 |-Branch one:
% 18.98/5.13 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (229), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (230), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (231), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (232), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (233), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (234), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (235), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (236), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (237), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (238), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 18.98/5.14 |
% 18.98/5.14 | Applying alpha-rule on (239) yields:
% 18.98/5.14 | (240) all_0_9_9 = e3
% 18.98/5.14 | (241) all_0_12_12 = e3
% 18.98/5.14 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (428,240) yields a new equation:
% 18.98/5.14 | (414) e3 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (414) can reduce 147 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Applying alpha-rule on (244) yields:
% 18.98/5.14 | (245) all_0_9_9 = e2
% 18.98/5.14 | (246) all_0_12_12 = e2
% 18.98/5.14 | (247) ~ (all_0_8_8 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (428,245) yields a new equation:
% 18.98/5.14 | (388) e2 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (388) can reduce 49 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 18.98/5.14 |
% 18.98/5.14 | Applying alpha-rule on (249) yields:
% 18.98/5.14 | (250) all_0_10_10 = e3
% 18.98/5.14 | (251) all_0_16_16 = e3
% 18.98/5.14 | (252) ~ (all_0_18_18 = e1)
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (250,403) yields a new equation:
% 18.98/5.14 | (532) e3 = e2
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 532 yields:
% 18.98/5.14 | (533) e3 = e2
% 18.98/5.14 |
% 18.98/5.14 | Equations (533) can reduce 69 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Applying alpha-rule on (254) yields:
% 18.98/5.14 | (255) all_0_10_10 = e1
% 18.98/5.14 | (256) all_0_16_16 = e1
% 18.98/5.14 | (247) ~ (all_0_8_8 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (255,403) yields a new equation:
% 18.98/5.14 | (388) e2 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (388) can reduce 49 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 18.98/5.14 |
% 18.98/5.14 | Applying alpha-rule on (259) yields:
% 18.98/5.14 | (260) all_0_11_11 = e3
% 18.98/5.14 | (261) all_0_20_20 = e3
% 18.98/5.14 | (262) ~ (all_0_23_23 = e0)
% 18.98/5.14 |
% 18.98/5.14 | Equations (261) can reduce 41 to:
% 18.98/5.14 | (206) ~ (all_0_12_12 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Equations (261) can reduce 87 to:
% 18.98/5.14 | (880) ~ (all_0_22_22 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 880 yields:
% 18.98/5.14 | (881) ~ (all_0_22_22 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Equations (261) can reduce 668 to:
% 18.98/5.14 | (69) ~ (e3 = e2)
% 18.98/5.14 |
% 18.98/5.14 | Equations (261) can reduce 186 to:
% 18.98/5.14 | (107) ~ (e3 = e0)
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (23), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (250) all_0_10_10 = e3
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (250,403) yields a new equation:
% 18.98/5.14 | (532) e3 = e2
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 532 yields:
% 18.98/5.14 | (533) e3 = e2
% 18.98/5.14 |
% 18.98/5.14 | Equations (533) can reduce 69 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (202) ~ (all_0_10_10 = e3)
% 18.98/5.14 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (144), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (241) all_0_12_12 = e3
% 18.98/5.14 |
% 18.98/5.14 | Equations (241) can reduce 206 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (206) ~ (all_0_12_12 = e3)
% 18.98/5.14 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (105), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (691) all_0_20_20 = e1
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (691,261) yields a new equation:
% 18.98/5.14 | (414) e3 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (414) can reduce 147 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (839) ~ (all_0_20_20 = e1)
% 18.98/5.14 | (5132) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (261) can reduce 839 to:
% 18.98/5.14 | (147) ~ (e3 = e1)
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (5132), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (1292) all_0_21_21 = e1
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (1292,286) yields a new equation:
% 18.98/5.14 | (371) e1 = e0
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 371 yields:
% 18.98/5.14 | (372) e1 = e0
% 18.98/5.14 |
% 18.98/5.14 | Equations (372) can reduce 90 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (312) ~ (all_0_21_21 = e1)
% 18.98/5.14 | (5179) all_0_22_22 = e1 | all_0_23_23 = e1
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (335), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (336) all_0_13_13 = e3
% 18.98/5.14 |
% 18.98/5.14 | Equations (336) can reduce 112 to:
% 18.98/5.14 | (206) ~ (all_0_12_12 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Equations (336) can reduce 511 to:
% 18.98/5.14 | (107) ~ (e3 = e0)
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (153), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (216) ~ (all_0_13_13 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Equations (336) can reduce 216 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (336) all_0_13_13 = e3
% 18.98/5.14 | (246) all_0_12_12 = e2
% 18.98/5.14 |
% 18.98/5.14 | Equations (246) can reduce 206 to:
% 18.98/5.14 | (499) ~ (e3 = e2)
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 499 yields:
% 18.98/5.14 | (69) ~ (e3 = e2)
% 18.98/5.14 |
% 18.98/5.14 | Equations (246) can reduce 660 to:
% 18.98/5.14 | (49) ~ (e2 = e1)
% 18.98/5.14 |
% 18.98/5.14 | Equations (246) can reduce 505 to:
% 18.98/5.14 | (137) ~ (e2 = e0)
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (47), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (902) all_0_22_22 = e3
% 18.98/5.14 |
% 18.98/5.14 | Equations (902) can reduce 881 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (881) ~ (all_0_22_22 = e3)
% 18.98/5.14 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (128), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (245) all_0_9_9 = e2
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (245,428) yields a new equation:
% 18.98/5.14 | (716) e2 = e1
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 716 yields:
% 18.98/5.14 | (388) e2 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (388) can reduce 49 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (636) ~ (all_0_9_9 = e2)
% 18.98/5.14 | (5885) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (890), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (440) all_0_14_14 = e3
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (513,440) yields a new equation:
% 18.98/5.14 | (365) e3 = e0
% 18.98/5.14 |
% 18.98/5.14 | Equations (365) can reduce 107 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (444) ~ (all_0_14_14 = e3)
% 18.98/5.14 | (915) all_0_18_18 = e3 | all_0_22_22 = e3
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (5885), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (727) all_0_13_13 = e2
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (336,727) yields a new equation:
% 18.98/5.14 | (532) e3 = e2
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 532 yields:
% 18.98/5.14 | (533) e3 = e2
% 18.98/5.14 |
% 18.98/5.14 | Equations (533) can reduce 69 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.14 | (5896) all_0_17_17 = e2 | all_0_21_21 = e2
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (915), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (218) all_0_18_18 = e3
% 18.98/5.14 |
% 18.98/5.14 | Equations (218) can reduce 121 to:
% 18.98/5.14 | (416) ~ (all_0_17_17 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Equations (218) can reduce 101 to:
% 18.98/5.14 | (880) ~ (all_0_22_22 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 880 yields:
% 18.98/5.14 | (881) ~ (all_0_22_22 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Equations (218) can reduce 215 to:
% 18.98/5.14 | (107) ~ (e3 = e0)
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (126), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (214) ~ (all_0_18_18 = e3)
% 18.98/5.14 |
% 18.98/5.14 | Equations (218) can reduce 214 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (218) all_0_18_18 = e3
% 18.98/5.14 | (256) all_0_16_16 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (256) can reduce 148 to:
% 18.98/5.14 | (976) ~ (all_0_17_17 = e1)
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 976 yields:
% 18.98/5.14 | (228) ~ (all_0_17_17 = e1)
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (26), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (413) all_0_17_17 = e3
% 18.98/5.14 |
% 18.98/5.14 | Equations (413) can reduce 416 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (416) ~ (all_0_17_17 = e3)
% 18.98/5.14 | (2068) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (5896), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (271) all_0_17_17 = e2
% 18.98/5.14 |
% 18.98/5.14 | Equations (271) can reduce 416 to:
% 18.98/5.14 | (499) ~ (e3 = e2)
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 499 yields:
% 18.98/5.14 | (69) ~ (e3 = e2)
% 18.98/5.14 |
% 18.98/5.14 | Equations (271) can reduce 228 to:
% 18.98/5.14 | (49) ~ (e2 = e1)
% 18.98/5.14 |
% 18.98/5.14 | Equations (271) can reduce 486 to:
% 18.98/5.14 | (137) ~ (e2 = e0)
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (5179), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (291) all_0_22_22 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (291) can reduce 881 to:
% 18.98/5.14 | (438) ~ (e3 = e1)
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 438 yields:
% 18.98/5.14 | (147) ~ (e3 = e1)
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (51), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (198) all_0_8_8 = e3
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (198,613) yields a new equation:
% 18.98/5.14 | (364) e3 = e0
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 364 yields:
% 18.98/5.14 | (365) e3 = e0
% 18.98/5.14 |
% 18.98/5.14 | Equations (365) can reduce 107 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (247) ~ (all_0_8_8 = e3)
% 18.98/5.14 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (4222), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (727) all_0_13_13 = e2
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (336,727) yields a new equation:
% 18.98/5.14 | (532) e3 = e2
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 532 yields:
% 18.98/5.14 | (533) e3 = e2
% 18.98/5.14 |
% 18.98/5.14 | Equations (533) can reduce 69 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.14 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (4238), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (226) all_0_18_18 = e1
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (218,226) yields a new equation:
% 18.98/5.14 | (441) e3 = e1
% 18.98/5.14 |
% 18.98/5.14 | Simplifying 441 yields:
% 18.98/5.14 | (414) e3 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (414) can reduce 147 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (252) ~ (all_0_18_18 = e1)
% 18.98/5.14 | (182) all_0_23_23 = e0
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (182,175) yields a new equation:
% 18.98/5.14 | (490) e2 = e0
% 18.98/5.14 |
% 18.98/5.14 | Equations (490) can reduce 137 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (699) ~ (all_0_22_22 = e1)
% 18.98/5.14 | (179) all_0_23_23 = e1
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (179,175) yields a new equation:
% 18.98/5.14 | (388) e2 = e1
% 18.98/5.14 |
% 18.98/5.14 | Equations (388) can reduce 49 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (1004) ~ (all_0_17_17 = e2)
% 18.98/5.14 | (281) all_0_21_21 = e2
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (286,281) yields a new equation:
% 18.98/5.14 | (490) e2 = e0
% 18.98/5.14 |
% 18.98/5.14 | Equations (490) can reduce 137 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (214) ~ (all_0_18_18 = e3)
% 18.98/5.14 | (902) all_0_22_22 = e3
% 18.98/5.14 |
% 18.98/5.14 | Equations (902) can reduce 881 to:
% 18.98/5.14 | (172) $false
% 18.98/5.14 |
% 18.98/5.14 |-The branch is then unsatisfiable
% 18.98/5.14 |-Branch two:
% 18.98/5.14 | (216) ~ (all_0_13_13 = e3)
% 18.98/5.14 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 18.98/5.14 |
% 18.98/5.14 +-Applying beta-rule and splitting (133), into two cases.
% 18.98/5.14 |-Branch one:
% 18.98/5.14 | (240) all_0_9_9 = e3
% 18.98/5.14 |
% 18.98/5.14 | Combining equations (240,428) yields a new equation:
% 18.98/5.14 | (441) e3 = e1
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 441 yields:
% 18.98/5.15 | (414) e3 = e1
% 18.98/5.15 |
% 18.98/5.15 | Equations (414) can reduce 147 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (200) ~ (all_0_9_9 = e3)
% 18.98/5.15 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 18.98/5.15 |
% 18.98/5.15 | Equations (428) can reduce 200 to:
% 18.98/5.15 | (438) ~ (e3 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 438 yields:
% 18.98/5.15 | (147) ~ (e3 = e1)
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (339), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (440) all_0_14_14 = e3
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (513,440) yields a new equation:
% 18.98/5.15 | (365) e3 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (365) can reduce 107 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (444) ~ (all_0_14_14 = e3)
% 18.98/5.15 | (419) all_0_15_15 = e3
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (836,419) yields a new equation:
% 18.98/5.15 | (414) e3 = e1
% 18.98/5.15 |
% 18.98/5.15 | Equations (414) can reduce 147 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 18.98/5.15 |
% 18.98/5.15 | Applying alpha-rule on (264) yields:
% 18.98/5.15 | (265) all_0_11_11 = e0
% 18.98/5.15 | (266) all_0_20_20 = e0
% 18.98/5.15 | (247) ~ (all_0_8_8 = e3)
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (265,260) yields a new equation:
% 18.98/5.15 | (365) e3 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (365) can reduce 107 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Applying alpha-rule on (269) yields:
% 18.98/5.15 | (270) all_0_14_14 = e2
% 18.98/5.15 | (271) all_0_17_17 = e2
% 18.98/5.15 | (252) ~ (all_0_18_18 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (513,270) yields a new equation:
% 18.98/5.15 | (490) e2 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (490) can reduce 137 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Applying alpha-rule on (274) yields:
% 18.98/5.15 | (275) all_0_14_14 = e1
% 18.98/5.15 | (276) all_0_17_17 = e1
% 18.98/5.15 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (513,275) yields a new equation:
% 18.98/5.15 | (372) e1 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (372) can reduce 90 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 18.98/5.15 |
% 18.98/5.15 | Applying alpha-rule on (279) yields:
% 18.98/5.15 | (280) all_0_15_15 = e2
% 18.98/5.15 | (281) all_0_21_21 = e2
% 18.98/5.15 | (262) ~ (all_0_23_23 = e0)
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (280,836) yields a new equation:
% 18.98/5.15 | (716) e2 = e1
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 716 yields:
% 18.98/5.15 | (388) e2 = e1
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (281,286) yields a new equation:
% 18.98/5.15 | (489) e2 = e0
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 489 yields:
% 18.98/5.15 | (490) e2 = e0
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (388,490) yields a new equation:
% 18.98/5.15 | (371) e1 = e0
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 371 yields:
% 18.98/5.15 | (372) e1 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (372) can reduce 90 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Applying alpha-rule on (284) yields:
% 18.98/5.15 | (285) all_0_15_15 = e0
% 18.98/5.15 | (286) all_0_21_21 = e0
% 18.98/5.15 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (285,836) yields a new equation:
% 18.98/5.15 | (372) e1 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (372) can reduce 90 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 18.98/5.15 |
% 18.98/5.15 | Applying alpha-rule on (289) yields:
% 18.98/5.15 | (290) all_0_19_19 = e1
% 18.98/5.15 | (291) all_0_22_22 = e1
% 18.98/5.15 | (262) ~ (all_0_23_23 = e0)
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (290,295) yields a new equation:
% 18.98/5.15 | (371) e1 = e0
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 371 yields:
% 18.98/5.15 | (372) e1 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (372) can reduce 90 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Applying alpha-rule on (294) yields:
% 18.98/5.15 | (295) all_0_19_19 = e0
% 18.98/5.15 | (296) all_0_22_22 = e0
% 18.98/5.15 | (252) ~ (all_0_18_18 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Equations (296) can reduce 188 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (602) ~ (all_0_15_15 = e1)
% 18.98/5.15 | (285) all_0_15_15 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (285) can reduce 184 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (304) ~ (all_0_9_9 = e1)
% 18.98/5.15 | (672) all_0_9_9 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (672) can reduce 842 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (305) ~ (all_0_10_10 = e2)
% 18.98/5.15 | (706) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (82), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (1100) all_0_8_8 = e2
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (1100,613) yields a new equation:
% 18.98/5.15 | (489) e2 = e0
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 489 yields:
% 18.98/5.15 | (490) e2 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (490) can reduce 137 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (196) ~ (all_0_8_8 = e2)
% 18.98/5.15 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (100), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (250) all_0_10_10 = e3
% 18.98/5.15 |
% 18.98/5.15 | Equations (250) can reduce 202 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (202) ~ (all_0_10_10 = e3)
% 18.98/5.15 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (1193), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (245) all_0_9_9 = e2
% 18.98/5.15 |
% 18.98/5.15 | Equations (245) can reduce 79 to:
% 18.98/5.15 | (6034) ~ (all_0_10_10 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 6034 yields:
% 18.98/5.15 | (305) ~ (all_0_10_10 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (245) can reduce 18 to:
% 18.98/5.15 | (3922) ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 3922 yields:
% 18.98/5.15 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (245) can reduce 842 to:
% 18.98/5.15 | (137) ~ (e2 = e0)
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (51), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (198) all_0_8_8 = e3
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (198,613) yields a new equation:
% 18.98/5.15 | (364) e3 = e0
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 364 yields:
% 18.98/5.15 | (365) e3 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (365) can reduce 107 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (247) ~ (all_0_8_8 = e3)
% 18.98/5.15 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (4222), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (727) all_0_13_13 = e2
% 18.98/5.15 |
% 18.98/5.15 | Equations (727) can reduce 242 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.15 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (4238), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (226) all_0_18_18 = e1
% 18.98/5.15 |
% 18.98/5.15 | Equations (226) can reduce 42 to:
% 18.98/5.15 | (394) ~ (all_0_10_10 = e1)
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (398), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (403) all_0_10_10 = e2
% 18.98/5.15 |
% 18.98/5.15 | Equations (403) can reduce 305 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (305) ~ (all_0_10_10 = e2)
% 18.98/5.15 | (406) all_0_10_10 = e1 | all_0_10_10 = e0
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (406), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (255) all_0_10_10 = e1
% 18.98/5.15 |
% 18.98/5.15 | Equations (255) can reduce 394 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (394) ~ (all_0_10_10 = e1)
% 18.98/5.15 | (410) all_0_10_10 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (410) can reduce 599 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (252) ~ (all_0_18_18 = e1)
% 18.98/5.15 | (182) all_0_23_23 = e0
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (182,175) yields a new equation:
% 18.98/5.15 | (490) e2 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (490) can reduce 137 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (636) ~ (all_0_9_9 = e2)
% 18.98/5.15 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (4507), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (403) all_0_10_10 = e2
% 18.98/5.15 |
% 18.98/5.15 | Equations (403) can reduce 305 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (305) ~ (all_0_10_10 = e2)
% 18.98/5.15 | (635) all_0_11_11 = e2
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (260,635) yields a new equation:
% 18.98/5.15 | (532) e3 = e2
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 532 yields:
% 18.98/5.15 | (533) e3 = e2
% 18.98/5.15 |
% 18.98/5.15 | Equations (533) can reduce 69 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (594) ~ (all_0_14_14 = e0)
% 18.98/5.15 | (1480) all_0_18_18 = e0 | all_0_22_22 = e0
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (1480), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (300) all_0_18_18 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (300) can reduce 215 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (215) ~ (all_0_18_18 = e0)
% 18.98/5.15 | (296) all_0_22_22 = e0
% 18.98/5.15 |
% 18.98/5.15 | Equations (296) can reduce 188 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (222) all_0_18_18 = e2
% 18.98/5.15 | (276) all_0_17_17 = e1
% 18.98/5.15 |
% 18.98/5.15 | Equations (276) can reduce 13 to:
% 18.98/5.15 | (304) ~ (all_0_9_9 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Equations (222) can reduce 42 to:
% 18.98/5.15 | (305) ~ (all_0_10_10 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (276) can reduce 5 to:
% 18.98/5.15 | (167) ~ (all_0_13_13 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Equations (276) can reduce 148 to:
% 18.98/5.15 | (227) ~ (all_0_16_16 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Equations (276) can reduce 150 to:
% 18.98/5.15 | (309) ~ (all_0_19_19 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 309 yields:
% 18.98/5.15 | (310) ~ (all_0_19_19 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Equations (222) can reduce 123 to:
% 18.98/5.15 | (313) ~ (all_0_19_19 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 313 yields:
% 18.98/5.15 | (314) ~ (all_0_19_19 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (222) can reduce 101 to:
% 18.98/5.15 | (2115) ~ (all_0_22_22 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 2115 yields:
% 18.98/5.15 | (933) ~ (all_0_22_22 = e2)
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (82), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (1100) all_0_8_8 = e2
% 18.98/5.15 |
% 18.98/5.15 | Equations (1100) can reduce 196 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (196) ~ (all_0_8_8 = e2)
% 18.98/5.15 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (99), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (1100) all_0_8_8 = e2
% 18.98/5.15 |
% 18.98/5.15 | Equations (1100) can reduce 196 to:
% 18.98/5.15 | (172) $false
% 18.98/5.15 |
% 18.98/5.15 |-The branch is then unsatisfiable
% 18.98/5.15 |-Branch two:
% 18.98/5.15 | (196) ~ (all_0_8_8 = e2)
% 18.98/5.15 | (3271) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (1193), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (245) all_0_9_9 = e2
% 18.98/5.15 |
% 18.98/5.15 | Equations (245) can reduce 79 to:
% 18.98/5.15 | (6034) ~ (all_0_10_10 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 6034 yields:
% 18.98/5.15 | (305) ~ (all_0_10_10 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (245) can reduce 97 to:
% 18.98/5.15 | (4853) ~ (all_0_11_11 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 4853 yields:
% 18.98/5.15 | (953) ~ (all_0_11_11 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (245) can reduce 18 to:
% 18.98/5.15 | (3922) ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 3922 yields:
% 18.98/5.15 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (245) can reduce 304 to:
% 18.98/5.15 | (49) ~ (e2 = e1)
% 18.98/5.15 |
% 18.98/5.15 | Equations (245) can reduce 842 to:
% 18.98/5.15 | (137) ~ (e2 = e0)
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (3271), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (246) all_0_12_12 = e2
% 18.98/5.15 |
% 18.98/5.15 | Equations (246) can reduce 35 to:
% 18.98/5.15 | (196) ~ (all_0_8_8 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (246) can reduce 112 to:
% 18.98/5.15 | (3922) ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 3922 yields:
% 18.98/5.15 | (242) ~ (all_0_13_13 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (246) can reduce 71 to:
% 18.98/5.15 | (1606) ~ (all_0_16_16 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 1606 yields:
% 18.98/5.15 | (854) ~ (all_0_16_16 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Equations (246) can reduce 41 to:
% 18.98/5.15 | (667) ~ (all_0_20_20 = e2)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 667 yields:
% 18.98/5.15 | (668) ~ (all_0_20_20 = e2)
% 18.98/5.15 |
% 18.98/5.15 +-Applying beta-rule and splitting (25), into two cases.
% 18.98/5.15 |-Branch one:
% 18.98/5.15 | (336) all_0_13_13 = e3
% 18.98/5.15 |
% 18.98/5.15 | Combining equations (336,5438) yields a new equation:
% 18.98/5.15 | (6118) all_0_1_1 = e3
% 18.98/5.15 |
% 18.98/5.15 | Equations (336) can reduce 84 to:
% 18.98/5.15 | (1123) ~ (all_0_15_15 = e3)
% 18.98/5.15 |
% 18.98/5.15 | Simplifying 1123 yields:
% 19.30/5.16 | (329) ~ (all_0_15_15 = e3)
% 19.30/5.16 |
% 19.30/5.16 | From (336) and (5439) follows:
% 19.30/5.16 | (6121) op(e3, e0) = all_0_0_0
% 19.30/5.16 |
% 19.30/5.16 +-Applying beta-rule and splitting (10), into two cases.
% 19.30/5.16 |-Branch one:
% 19.30/5.16 | (4868) ~ (all_0_0_0 = e1)
% 19.30/5.16 |
% 19.30/5.16 +-Applying beta-rule and splitting (135), into two cases.
% 19.30/5.16 |-Branch one:
% 19.30/5.16 | (423) all_0_8_8 = e1
% 19.30/5.16 |
% 19.30/5.16 | Equations (423) can reduce 195 to:
% 19.30/5.16 | (172) $false
% 19.30/5.16 |
% 19.30/5.16 |-The branch is then unsatisfiable
% 19.30/5.16 |-Branch two:
% 19.30/5.16 | (195) ~ (all_0_8_8 = e1)
% 19.30/5.16 | (875) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 19.30/5.16 |
% 19.30/5.16 +-Applying beta-rule and splitting (875), into two cases.
% 19.30/5.16 |-Branch one:
% 19.30/5.16 | (657) all_0_12_12 = e1
% 19.30/5.16 |
% 19.30/5.16 | Combining equations (246,657) yields a new equation:
% 19.30/5.16 | (716) e2 = e1
% 19.30/5.16 |
% 19.30/5.16 | Simplifying 716 yields:
% 19.30/5.16 | (388) e2 = e1
% 19.30/5.16 |
% 19.30/5.16 | Equations (388) can reduce 49 to:
% 19.30/5.16 | (172) $false
% 19.30/5.16 |
% 19.30/5.16 |-The branch is then unsatisfiable
% 19.30/5.16 |-Branch two:
% 19.30/5.16 | (660) ~ (all_0_12_12 = e1)
% 19.30/5.16 | (895) all_0_16_16 = e1 | all_0_20_20 = e1
% 19.30/5.16 |
% 19.30/5.16 +-Applying beta-rule and splitting (895), into two cases.
% 19.30/5.16 |-Branch one:
% 19.30/5.16 | (256) all_0_16_16 = e1
% 19.30/5.16 |
% 19.30/5.16 | Equations (256) can reduce 227 to:
% 19.30/5.16 | (172) $false
% 19.30/5.16 |
% 19.30/5.16 |-The branch is then unsatisfiable
% 19.30/5.16 |-Branch two:
% 19.30/5.16 | (227) ~ (all_0_16_16 = e1)
% 19.30/5.16 | (691) all_0_20_20 = e1
% 19.30/5.16 |
% 19.30/5.16 | Equations (691) can reduce 151 to:
% 19.30/5.16 | (227) ~ (all_0_16_16 = e1)
% 19.30/5.16 |
% 19.30/5.16 | Equations (691) can reduce 87 to:
% 19.30/5.16 | (698) ~ (all_0_22_22 = e1)
% 19.30/5.16 |
% 19.30/5.16 | Simplifying 698 yields:
% 19.30/5.16 | (699) ~ (all_0_22_22 = e1)
% 19.30/5.16 |
% 19.30/5.16 | Equations (691) can reduce 668 to:
% 19.30/5.16 | (307) ~ (e2 = e1)
% 19.30/5.16 |
% 19.30/5.16 | Simplifying 307 yields:
% 19.30/5.16 | (49) ~ (e2 = e1)
% 19.30/5.16 |
% 19.30/5.16 +-Applying beta-rule and splitting (47), into two cases.
% 19.30/5.16 |-Branch one:
% 19.30/5.16 | (902) all_0_22_22 = e3
% 19.30/5.16 |
% 19.30/5.16 | Equations (902) can reduce 933 to:
% 19.30/5.16 | (69) ~ (e3 = e2)
% 19.30/5.16 |
% 19.30/5.16 +-Applying beta-rule and splitting (51), into two cases.
% 19.30/5.16 |-Branch one:
% 19.30/5.16 | (198) all_0_8_8 = e3
% 19.30/5.16 |
% 19.30/5.16 | Equations (198) can reduce 59 to:
% 19.30/5.16 | (201) ~ (all_0_10_10 = e3)
% 19.30/5.16 |
% 19.30/5.16 | Simplifying 201 yields:
% 19.30/5.16 | (202) ~ (all_0_10_10 = e3)
% 19.30/5.16 |
% 19.30/5.16 | Equations (198) can reduce 39 to:
% 19.30/5.16 | (203) ~ (all_0_11_11 = e3)
% 19.30/5.16 |
% 19.30/5.16 | Simplifying 203 yields:
% 19.30/5.16 | (204) ~ (all_0_11_11 = e3)
% 19.30/5.16 |
% 19.30/5.16 | Equations (198) can reduce 196 to:
% 19.30/5.16 | (69) ~ (e3 = e2)
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (106), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (260) all_0_11_11 = e3
% 19.30/5.17 |
% 19.30/5.17 | Equations (260) can reduce 204 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (204) ~ (all_0_11_11 = e3)
% 19.30/5.17 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (628), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (419) all_0_15_15 = e3
% 19.30/5.17 |
% 19.30/5.17 | Equations (419) can reduce 329 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (329) ~ (all_0_15_15 = e3)
% 19.30/5.17 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (965), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (327) all_0_19_19 = e3
% 19.30/5.17 |
% 19.30/5.17 | Equations (327) can reduce 115 to:
% 19.30/5.17 | (204) ~ (all_0_11_11 = e3)
% 19.30/5.17 |
% 19.30/5.17 | Equations (327) can reduce 32 to:
% 19.30/5.17 | (208) ~ (all_0_16_16 = e3)
% 19.30/5.17 |
% 19.30/5.17 | Equations (327) can reduce 314 to:
% 19.30/5.17 | (69) ~ (e3 = e2)
% 19.30/5.17 |
% 19.30/5.17 | Equations (327) can reduce 310 to:
% 19.30/5.17 | (147) ~ (e3 = e1)
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (54), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (320) all_0_16_16 = e0
% 19.30/5.17 |
% 19.30/5.17 | Equations (320) can reduce 208 to:
% 19.30/5.17 | (189) ~ (e3 = e0)
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 189 yields:
% 19.30/5.17 | (107) ~ (e3 = e0)
% 19.30/5.17 |
% 19.30/5.17 | Equations (320) can reduce 854 to:
% 19.30/5.17 | (191) ~ (e2 = e0)
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 191 yields:
% 19.30/5.17 | (137) ~ (e2 = e0)
% 19.30/5.17 |
% 19.30/5.17 | Equations (320) can reduce 227 to:
% 19.30/5.17 | (193) ~ (e1 = e0)
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 193 yields:
% 19.30/5.17 | (90) ~ (e1 = e0)
% 19.30/5.17 |
% 19.30/5.17 | Instantiating formula (143) with e3, e0, all_0_0_0, all_0_11_11 and discharging atoms op(e3, e0) = all_0_0_0, op(e3, e0) = all_0_11_11, yields:
% 19.30/5.17 | (6170) all_0_0_0 = all_0_11_11
% 19.30/5.17 |
% 19.30/5.17 | Equations (6170) can reduce 4868 to:
% 19.30/5.17 | (600) ~ (all_0_11_11 = e1)
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (6), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (437) all_0_11_11 = e1
% 19.30/5.17 |
% 19.30/5.17 | Equations (437) can reduce 600 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (600) ~ (all_0_11_11 = e1)
% 19.30/5.17 | (3607) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (155), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (423) all_0_8_8 = e1
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (198,423) yields a new equation:
% 19.30/5.17 | (441) e3 = e1
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 441 yields:
% 19.30/5.17 | (414) e3 = e1
% 19.30/5.17 |
% 19.30/5.17 | Equations (414) can reduce 147 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (195) ~ (all_0_8_8 = e1)
% 19.30/5.17 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (427), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (428) all_0_9_9 = e1
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (245,428) yields a new equation:
% 19.30/5.17 | (716) e2 = e1
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 716 yields:
% 19.30/5.17 | (388) e2 = e1
% 19.30/5.17 |
% 19.30/5.17 | Equations (388) can reduce 49 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (304) ~ (all_0_9_9 = e1)
% 19.30/5.17 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (431), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (255) all_0_10_10 = e1
% 19.30/5.17 |
% 19.30/5.17 | Equations (255) can reduce 52 to:
% 19.30/5.17 | (2489) ~ (all_0_11_11 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 2489 yields:
% 19.30/5.17 | (600) ~ (all_0_11_11 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Equations (255) can reduce 65 to:
% 19.30/5.17 | (2191) ~ (all_0_14_14 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 2191 yields:
% 19.30/5.17 | (835) ~ (all_0_14_14 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Equations (255) can reduce 202 to:
% 19.30/5.17 | (438) ~ (e3 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 438 yields:
% 19.30/5.17 | (147) ~ (e3 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Equations (255) can reduce 305 to:
% 19.30/5.17 | (307) ~ (e2 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 307 yields:
% 19.30/5.17 | (49) ~ (e2 = e1)
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (119), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (260) all_0_11_11 = e3
% 19.30/5.17 |
% 19.30/5.17 | Equations (260) can reduce 204 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (204) ~ (all_0_11_11 = e3)
% 19.30/5.17 | (612) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (96), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (657) all_0_12_12 = e1
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (246,657) yields a new equation:
% 19.30/5.17 | (716) e2 = e1
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 716 yields:
% 19.30/5.17 | (388) e2 = e1
% 19.30/5.17 |
% 19.30/5.17 | Equations (388) can reduce 49 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (660) ~ (all_0_12_12 = e1)
% 19.30/5.17 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 19.30/5.17 |
% 19.30/5.17 | Equations (246) can reduce 660 to:
% 19.30/5.17 | (49) ~ (e2 = e1)
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (152), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (229), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (230), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (231), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (232), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (233), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (234), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (235), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (236), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (237), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.30/5.17 |
% 19.30/5.17 +-Applying beta-rule and splitting (238), into two cases.
% 19.30/5.17 |-Branch one:
% 19.30/5.17 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.30/5.17 |
% 19.30/5.17 | Applying alpha-rule on (239) yields:
% 19.30/5.17 | (240) all_0_9_9 = e3
% 19.30/5.17 | (241) all_0_12_12 = e3
% 19.30/5.17 | (242) ~ (all_0_13_13 = e2)
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (241,246) yields a new equation:
% 19.30/5.17 | (532) e3 = e2
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 532 yields:
% 19.30/5.17 | (533) e3 = e2
% 19.30/5.17 |
% 19.30/5.17 | Equations (533) can reduce 69 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.30/5.17 |
% 19.30/5.17 | Applying alpha-rule on (244) yields:
% 19.30/5.17 | (245) all_0_9_9 = e2
% 19.30/5.17 | (246) all_0_12_12 = e2
% 19.30/5.17 | (247) ~ (all_0_8_8 = e3)
% 19.30/5.17 |
% 19.30/5.17 | Equations (198) can reduce 247 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Applying alpha-rule on (249) yields:
% 19.30/5.17 | (250) all_0_10_10 = e3
% 19.30/5.17 | (251) all_0_16_16 = e3
% 19.30/5.17 | (252) ~ (all_0_18_18 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (250,255) yields a new equation:
% 19.30/5.17 | (441) e3 = e1
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 441 yields:
% 19.30/5.17 | (414) e3 = e1
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (320,251) yields a new equation:
% 19.30/5.17 | (365) e3 = e0
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (365,414) yields a new equation:
% 19.30/5.17 | (372) e1 = e0
% 19.30/5.17 |
% 19.30/5.17 | Equations (372) can reduce 90 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.30/5.17 |
% 19.30/5.17 | Applying alpha-rule on (254) yields:
% 19.30/5.17 | (255) all_0_10_10 = e1
% 19.30/5.17 | (256) all_0_16_16 = e1
% 19.30/5.17 | (247) ~ (all_0_8_8 = e3)
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (320,256) yields a new equation:
% 19.30/5.17 | (372) e1 = e0
% 19.30/5.17 |
% 19.30/5.17 | Equations (372) can reduce 90 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.30/5.17 |
% 19.30/5.17 | Applying alpha-rule on (259) yields:
% 19.30/5.17 | (260) all_0_11_11 = e3
% 19.30/5.17 | (261) all_0_20_20 = e3
% 19.30/5.17 | (262) ~ (all_0_23_23 = e0)
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (691,261) yields a new equation:
% 19.30/5.17 | (414) e3 = e1
% 19.30/5.17 |
% 19.30/5.17 | Equations (414) can reduce 147 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.30/5.17 |
% 19.30/5.17 | Applying alpha-rule on (264) yields:
% 19.30/5.17 | (265) all_0_11_11 = e0
% 19.30/5.17 | (266) all_0_20_20 = e0
% 19.30/5.17 | (247) ~ (all_0_8_8 = e3)
% 19.30/5.17 |
% 19.30/5.17 | Combining equations (691,266) yields a new equation:
% 19.30/5.17 | (371) e1 = e0
% 19.30/5.17 |
% 19.30/5.17 | Simplifying 371 yields:
% 19.30/5.17 | (372) e1 = e0
% 19.30/5.17 |
% 19.30/5.17 | Equations (372) can reduce 90 to:
% 19.30/5.17 | (172) $false
% 19.30/5.17 |
% 19.30/5.17 |-The branch is then unsatisfiable
% 19.30/5.17 |-Branch two:
% 19.30/5.17 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.30/5.17 |
% 19.30/5.17 | Applying alpha-rule on (269) yields:
% 19.30/5.17 | (270) all_0_14_14 = e2
% 19.32/5.17 | (271) all_0_17_17 = e2
% 19.32/5.17 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.17 |
% 19.32/5.17 | Combining equations (276,271) yields a new equation:
% 19.32/5.17 | (388) e2 = e1
% 19.32/5.17 |
% 19.32/5.17 | Equations (388) can reduce 49 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.32/5.17 |
% 19.32/5.17 | Applying alpha-rule on (274) yields:
% 19.32/5.17 | (275) all_0_14_14 = e1
% 19.32/5.17 | (276) all_0_17_17 = e1
% 19.32/5.17 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.17 |
% 19.32/5.17 | Equations (275) can reduce 835 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.32/5.17 |
% 19.32/5.17 | Applying alpha-rule on (279) yields:
% 19.32/5.17 | (280) all_0_15_15 = e2
% 19.32/5.17 | (281) all_0_21_21 = e2
% 19.32/5.17 | (262) ~ (all_0_23_23 = e0)
% 19.32/5.17 |
% 19.32/5.17 | Combining equations (286,281) yields a new equation:
% 19.32/5.17 | (490) e2 = e0
% 19.32/5.17 |
% 19.32/5.17 | Equations (490) can reduce 137 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.32/5.17 |
% 19.32/5.17 | Applying alpha-rule on (284) yields:
% 19.32/5.17 | (285) all_0_15_15 = e0
% 19.32/5.17 | (286) all_0_21_21 = e0
% 19.32/5.17 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.17 |
% 19.32/5.17 | Equations (285) can reduce 98 to:
% 19.32/5.17 | (183) ~ (all_0_11_11 = e0)
% 19.32/5.17 |
% 19.32/5.17 +-Applying beta-rule and splitting (612), into two cases.
% 19.32/5.17 |-Branch one:
% 19.32/5.17 | (635) all_0_11_11 = e2
% 19.32/5.17 |
% 19.32/5.17 | Equations (635) can reduce 953 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (953) ~ (all_0_11_11 = e2)
% 19.32/5.17 | (954) all_0_11_11 = e1 | all_0_11_11 = e0
% 19.32/5.17 |
% 19.32/5.17 +-Applying beta-rule and splitting (954), into two cases.
% 19.32/5.17 |-Branch one:
% 19.32/5.17 | (437) all_0_11_11 = e1
% 19.32/5.17 |
% 19.32/5.17 | Equations (437) can reduce 600 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (600) ~ (all_0_11_11 = e1)
% 19.32/5.17 | (265) all_0_11_11 = e0
% 19.32/5.17 |
% 19.32/5.17 | Equations (265) can reduce 183 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.32/5.17 |
% 19.32/5.17 | Applying alpha-rule on (289) yields:
% 19.32/5.17 | (290) all_0_19_19 = e1
% 19.32/5.17 | (291) all_0_22_22 = e1
% 19.32/5.17 | (262) ~ (all_0_23_23 = e0)
% 19.32/5.17 |
% 19.32/5.17 | Combining equations (902,291) yields a new equation:
% 19.32/5.17 | (441) e3 = e1
% 19.32/5.17 |
% 19.32/5.17 | Simplifying 441 yields:
% 19.32/5.17 | (414) e3 = e1
% 19.32/5.17 |
% 19.32/5.17 | Equations (414) can reduce 147 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.32/5.17 |
% 19.32/5.17 | Applying alpha-rule on (294) yields:
% 19.32/5.17 | (295) all_0_19_19 = e0
% 19.32/5.17 | (296) all_0_22_22 = e0
% 19.32/5.17 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.17 |
% 19.32/5.17 | Combining equations (902,296) yields a new equation:
% 19.32/5.17 | (364) e3 = e0
% 19.32/5.17 |
% 19.32/5.17 | Simplifying 364 yields:
% 19.32/5.17 | (365) e3 = e0
% 19.32/5.17 |
% 19.32/5.17 | Equations (365) can reduce 107 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (394) ~ (all_0_10_10 = e1)
% 19.32/5.17 | (437) all_0_11_11 = e1
% 19.32/5.17 |
% 19.32/5.17 | Equations (437) can reduce 600 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (480) ~ (all_0_16_16 = e0)
% 19.32/5.17 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 19.32/5.17 |
% 19.32/5.17 +-Applying beta-rule and splitting (83), into two cases.
% 19.32/5.17 |-Branch one:
% 19.32/5.17 | (251) all_0_16_16 = e3
% 19.32/5.17 |
% 19.32/5.17 | Equations (251) can reduce 208 to:
% 19.32/5.17 | (172) $false
% 19.32/5.17 |
% 19.32/5.17 |-The branch is then unsatisfiable
% 19.32/5.17 |-Branch two:
% 19.32/5.17 | (208) ~ (all_0_16_16 = e3)
% 19.32/5.17 | (665) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 19.32/5.17 |
% 19.32/5.17 +-Applying beta-rule and splitting (665), into two cases.
% 19.32/5.17 |-Branch one:
% 19.32/5.17 | (666) all_0_16_16 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (666) can reduce 854 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (854) ~ (all_0_16_16 = e2)
% 19.32/5.18 | (855) all_0_16_16 = e1 | all_0_16_16 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (855), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (256) all_0_16_16 = e1
% 19.32/5.18 |
% 19.32/5.18 | Equations (256) can reduce 227 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (227) ~ (all_0_16_16 = e1)
% 19.32/5.18 | (320) all_0_16_16 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (320) can reduce 480 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (469) ~ (all_0_19_19 = e3)
% 19.32/5.18 | (171) all_0_23_23 = e3
% 19.32/5.18 |
% 19.32/5.18 | Combining equations (175,171) yields a new equation:
% 19.32/5.18 | (533) e3 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (533) can reduce 69 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.18 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (4222), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (727) all_0_13_13 = e2
% 19.32/5.18 |
% 19.32/5.18 | Combining equations (727,336) yields a new equation:
% 19.32/5.18 | (533) e3 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (533) can reduce 69 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.18 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (4238), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (226) all_0_18_18 = e1
% 19.32/5.18 |
% 19.32/5.18 | Combining equations (222,226) yields a new equation:
% 19.32/5.18 | (716) e2 = e1
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 716 yields:
% 19.32/5.18 | (388) e2 = e1
% 19.32/5.18 |
% 19.32/5.18 | Equations (388) can reduce 49 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.18 | (182) all_0_23_23 = e0
% 19.32/5.18 |
% 19.32/5.18 | Combining equations (182,175) yields a new equation:
% 19.32/5.18 | (490) e2 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (490) can reduce 137 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (881) ~ (all_0_22_22 = e3)
% 19.32/5.18 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (905), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (725) all_0_22_22 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (725) can reduce 933 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (933) ~ (all_0_22_22 = e2)
% 19.32/5.18 | (934) all_0_22_22 = e1 | all_0_22_22 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (934), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (291) all_0_22_22 = e1
% 19.32/5.18 |
% 19.32/5.18 | Equations (291) can reduce 699 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (699) ~ (all_0_22_22 = e1)
% 19.32/5.18 | (296) all_0_22_22 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (296) can reduce 188 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (5414) all_0_0_0 = e1
% 19.32/5.18 | (6352) ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e2)
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (6352), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (6353) ~ (all_0_1_1 = e3)
% 19.32/5.18 |
% 19.32/5.18 | Equations (6118) can reduce 6353 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (6118) all_0_1_1 = e3
% 19.32/5.18 | (169) ~ (all_0_23_23 = e2)
% 19.32/5.18 |
% 19.32/5.18 | Equations (175) can reduce 169 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (216) ~ (all_0_13_13 = e3)
% 19.32/5.18 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (1157), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (727) all_0_13_13 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (727) can reduce 242 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.18 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (2338), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (679) all_0_13_13 = e1
% 19.32/5.18 |
% 19.32/5.18 | Equations (679) can reduce 167 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (167) ~ (all_0_13_13 = e1)
% 19.32/5.18 | (507) all_0_13_13 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (507) can reduce 511 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (711) ~ (all_0_12_12 = e2)
% 19.32/5.18 | (3275) all_0_16_16 = e2 | all_0_20_20 = e2
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (25), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (336) all_0_13_13 = e3
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (153), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (216) ~ (all_0_13_13 = e3)
% 19.32/5.18 |
% 19.32/5.18 | Equations (336) can reduce 216 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (336) all_0_13_13 = e3
% 19.32/5.18 | (246) all_0_12_12 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (246) can reduce 711 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (216) ~ (all_0_13_13 = e3)
% 19.32/5.18 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (1157), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (727) all_0_13_13 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (727) can reduce 242 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.18 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (2338), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (679) all_0_13_13 = e1
% 19.32/5.18 |
% 19.32/5.18 | Equations (679) can reduce 167 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (167) ~ (all_0_13_13 = e1)
% 19.32/5.18 | (507) all_0_13_13 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (507) can reduce 511 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (636) ~ (all_0_9_9 = e2)
% 19.32/5.18 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (4507), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (403) all_0_10_10 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (403) can reduce 305 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (305) ~ (all_0_10_10 = e2)
% 19.32/5.18 | (635) all_0_11_11 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (635) can reduce 953 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (423) all_0_8_8 = e1
% 19.32/5.18 | (250) all_0_10_10 = e3
% 19.32/5.18 |
% 19.32/5.18 | Equations (423) can reduce 113 to:
% 19.32/5.18 | (2485) ~ (all_0_9_9 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 2485 yields:
% 19.32/5.18 | (304) ~ (all_0_9_9 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Equations (423) can reduce 39 to:
% 19.32/5.18 | (2489) ~ (all_0_11_11 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 2489 yields:
% 19.32/5.18 | (600) ~ (all_0_11_11 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Equations (423) can reduce 35 to:
% 19.32/5.18 | (2491) ~ (all_0_12_12 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 2491 yields:
% 19.32/5.18 | (660) ~ (all_0_12_12 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Equations (423) can reduce 104 to:
% 19.32/5.18 | (2493) ~ (all_0_16_16 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 2493 yields:
% 19.32/5.18 | (227) ~ (all_0_16_16 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Equations (250) can reduce 79 to:
% 19.32/5.18 | (200) ~ (all_0_9_9 = e3)
% 19.32/5.18 |
% 19.32/5.18 | Equations (250) can reduce 52 to:
% 19.32/5.18 | (203) ~ (all_0_11_11 = e3)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 203 yields:
% 19.32/5.18 | (204) ~ (all_0_11_11 = e3)
% 19.32/5.18 |
% 19.32/5.18 | Equations (250) can reduce 65 to:
% 19.32/5.18 | (3148) ~ (all_0_14_14 = e3)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 3148 yields:
% 19.32/5.18 | (444) ~ (all_0_14_14 = e3)
% 19.32/5.18 |
% 19.32/5.18 | Equations (250) can reduce 145 to:
% 19.32/5.18 | (880) ~ (all_0_22_22 = e3)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 880 yields:
% 19.32/5.18 | (881) ~ (all_0_22_22 = e3)
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (110), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (410) all_0_10_10 = e0
% 19.32/5.18 |
% 19.32/5.18 | Combining equations (250,410) yields a new equation:
% 19.32/5.18 | (364) e3 = e0
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 364 yields:
% 19.32/5.18 | (365) e3 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (365) can reduce 107 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (599) ~ (all_0_10_10 = e0)
% 19.32/5.18 | (1145) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (61), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (240) all_0_9_9 = e3
% 19.32/5.18 |
% 19.32/5.18 | Equations (240) can reduce 200 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (200) ~ (all_0_9_9 = e3)
% 19.32/5.18 | (4629) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (4629), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (245) all_0_9_9 = e2
% 19.32/5.18 |
% 19.32/5.18 | Equations (245) can reduce 97 to:
% 19.32/5.18 | (4853) ~ (all_0_11_11 = e2)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 4853 yields:
% 19.32/5.18 | (953) ~ (all_0_11_11 = e2)
% 19.32/5.18 |
% 19.32/5.18 | Equations (245) can reduce 200 to:
% 19.32/5.18 | (499) ~ (e3 = e2)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 499 yields:
% 19.32/5.18 | (69) ~ (e3 = e2)
% 19.32/5.18 |
% 19.32/5.18 | Equations (245) can reduce 304 to:
% 19.32/5.18 | (49) ~ (e2 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Equations (245) can reduce 842 to:
% 19.32/5.18 | (137) ~ (e2 = e0)
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (119), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (260) all_0_11_11 = e3
% 19.32/5.18 |
% 19.32/5.18 | Equations (260) can reduce 204 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (204) ~ (all_0_11_11 = e3)
% 19.32/5.18 | (612) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (1145), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (513) all_0_14_14 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (513) can reduce 127 to:
% 19.32/5.18 | (505) ~ (all_0_12_12 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Equations (513) can reduce 12 to:
% 19.32/5.18 | (511) ~ (all_0_13_13 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Equations (513) can reduce 50 to:
% 19.32/5.18 | (1149) ~ (all_0_15_15 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 1149 yields:
% 19.32/5.18 | (184) ~ (all_0_15_15 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Equations (513) can reduce 81 to:
% 19.32/5.18 | (514) ~ (all_0_22_22 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 514 yields:
% 19.32/5.18 | (188) ~ (all_0_22_22 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Equations (513) can reduce 444 to:
% 19.32/5.18 | (189) ~ (e3 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 189 yields:
% 19.32/5.18 | (107) ~ (e3 = e0)
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (58), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (613) all_0_8_8 = e0
% 19.32/5.18 |
% 19.32/5.18 | Combining equations (613,423) yields a new equation:
% 19.32/5.18 | (372) e1 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (372) can reduce 90 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (197) ~ (all_0_8_8 = e0)
% 19.32/5.18 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (623), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (501) all_0_12_12 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (501) can reduce 505 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (505) ~ (all_0_12_12 = e0)
% 19.32/5.18 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (2089), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (320) all_0_16_16 = e0
% 19.32/5.18 |
% 19.32/5.18 | Equations (320) can reduce 71 to:
% 19.32/5.18 | (505) ~ (all_0_12_12 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Equations (320) can reduce 148 to:
% 19.32/5.18 | (3255) ~ (all_0_17_17 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 3255 yields:
% 19.32/5.18 | (486) ~ (all_0_17_17 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Equations (320) can reduce 108 to:
% 19.32/5.18 | (1136) ~ (all_0_18_18 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 1136 yields:
% 19.32/5.18 | (215) ~ (all_0_18_18 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Equations (320) can reduce 151 to:
% 19.32/5.18 | (323) ~ (all_0_20_20 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 323 yields:
% 19.32/5.18 | (186) ~ (all_0_20_20 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Equations (320) can reduce 227 to:
% 19.32/5.18 | (193) ~ (e1 = e0)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 193 yields:
% 19.32/5.18 | (90) ~ (e1 = e0)
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (47), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (902) all_0_22_22 = e3
% 19.32/5.18 |
% 19.32/5.18 | Equations (902) can reduce 881 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (881) ~ (all_0_22_22 = e3)
% 19.32/5.18 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (64), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (428) all_0_9_9 = e1
% 19.32/5.18 |
% 19.32/5.18 | Combining equations (245,428) yields a new equation:
% 19.32/5.18 | (716) e2 = e1
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 716 yields:
% 19.32/5.18 | (388) e2 = e1
% 19.32/5.18 |
% 19.32/5.18 | Equations (388) can reduce 49 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (304) ~ (all_0_9_9 = e1)
% 19.32/5.18 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (1283), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (679) all_0_13_13 = e1
% 19.32/5.18 |
% 19.32/5.18 | Equations (679) can reduce 167 to:
% 19.32/5.18 | (172) $false
% 19.32/5.18 |
% 19.32/5.18 |-The branch is then unsatisfiable
% 19.32/5.18 |-Branch two:
% 19.32/5.18 | (167) ~ (all_0_13_13 = e1)
% 19.32/5.18 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (1287), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (276) all_0_17_17 = e1
% 19.32/5.18 |
% 19.32/5.18 | Equations (276) can reduce 150 to:
% 19.32/5.18 | (309) ~ (all_0_19_19 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Simplifying 309 yields:
% 19.32/5.18 | (310) ~ (all_0_19_19 = e1)
% 19.32/5.18 |
% 19.32/5.18 | Equations (276) can reduce 486 to:
% 19.32/5.18 | (90) ~ (e1 = e0)
% 19.32/5.18 |
% 19.32/5.18 +-Applying beta-rule and splitting (152), into two cases.
% 19.32/5.18 |-Branch one:
% 19.32/5.18 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (229), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (230), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (231), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (232), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (233), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (234), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (235), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (236), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (237), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (238), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Applying alpha-rule on (239) yields:
% 19.32/5.19 | (240) all_0_9_9 = e3
% 19.32/5.19 | (241) all_0_12_12 = e3
% 19.32/5.19 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (245,240) yields a new equation:
% 19.32/5.19 | (533) e3 = e2
% 19.32/5.19 |
% 19.32/5.19 | Equations (533) can reduce 69 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.32/5.19 |
% 19.32/5.19 | Applying alpha-rule on (244) yields:
% 19.32/5.19 | (245) all_0_9_9 = e2
% 19.32/5.19 | (246) all_0_12_12 = e2
% 19.32/5.19 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.19 |
% 19.32/5.19 | Equations (246) can reduce 112 to:
% 19.32/5.19 | (3922) ~ (all_0_13_13 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 3922 yields:
% 19.32/5.19 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Equations (246) can reduce 41 to:
% 19.32/5.19 | (667) ~ (all_0_20_20 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 667 yields:
% 19.32/5.19 | (668) ~ (all_0_20_20 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Equations (246) can reduce 660 to:
% 19.32/5.19 | (49) ~ (e2 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Equations (246) can reduce 505 to:
% 19.32/5.19 | (137) ~ (e2 = e0)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (905), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (725) all_0_22_22 = e2
% 19.32/5.19 |
% 19.32/5.19 | Equations (725) can reduce 933 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (933) ~ (all_0_22_22 = e2)
% 19.32/5.19 | (934) all_0_22_22 = e1 | all_0_22_22 = e0
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (6), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (437) all_0_11_11 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (437) can reduce 600 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (600) ~ (all_0_11_11 = e1)
% 19.32/5.19 | (3607) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (70), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (613) all_0_8_8 = e0
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (613,423) yields a new equation:
% 19.32/5.19 | (372) e1 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (372) can reduce 90 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (197) ~ (all_0_8_8 = e0)
% 19.32/5.19 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (3607), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (836) all_0_15_15 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (836) can reduce 84 to:
% 19.32/5.19 | (167) ~ (all_0_13_13 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Equations (836) can reduce 149 to:
% 19.32/5.19 | (309) ~ (all_0_19_19 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 309 yields:
% 19.32/5.19 | (310) ~ (all_0_19_19 = e1)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (617), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (672) all_0_9_9 = e0
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (672,245) yields a new equation:
% 19.32/5.19 | (490) e2 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (490) can reduce 137 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (842) ~ (all_0_9_9 = e0)
% 19.32/5.19 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (847), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (410) all_0_10_10 = e0
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (410,250) yields a new equation:
% 19.32/5.19 | (365) e3 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (365) can reduce 107 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (599) ~ (all_0_10_10 = e0)
% 19.32/5.19 | (265) all_0_11_11 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (265) can reduce 115 to:
% 19.32/5.19 | (321) ~ (all_0_19_19 = e0)
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 321 yields:
% 19.32/5.19 | (185) ~ (all_0_19_19 = e0)
% 19.32/5.19 |
% 19.32/5.19 | Equations (265) can reduce 953 to:
% 19.32/5.19 | (191) ~ (e2 = e0)
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 191 yields:
% 19.32/5.19 | (137) ~ (e2 = e0)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (934), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (291) all_0_22_22 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (291) can reduce 101 to:
% 19.32/5.19 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Equations (291) can reduce 87 to:
% 19.32/5.19 | (839) ~ (all_0_20_20 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Equations (291) can reduce 933 to:
% 19.32/5.19 | (307) ~ (e2 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 307 yields:
% 19.32/5.19 | (49) ~ (e2 = e1)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (25), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (336) all_0_13_13 = e3
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (19), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (666) all_0_16_16 = e2
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (320,666) yields a new equation:
% 19.32/5.19 | (490) e2 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (490) can reduce 137 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (854) ~ (all_0_16_16 = e2)
% 19.32/5.19 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (1000), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (271) all_0_17_17 = e2
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (276,271) yields a new equation:
% 19.32/5.19 | (388) e2 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (388) can reduce 49 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (1004) ~ (all_0_17_17 = e2)
% 19.32/5.19 | (1005) all_0_18_18 = e2 | all_0_19_19 = e2
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (1005), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (222) all_0_18_18 = e2
% 19.32/5.19 |
% 19.32/5.19 | Equations (222) can reduce 123 to:
% 19.32/5.19 | (313) ~ (all_0_19_19 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 313 yields:
% 19.32/5.19 | (314) ~ (all_0_19_19 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Equations (222) can reduce 252 to:
% 19.32/5.19 | (49) ~ (e2 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Equations (222) can reduce 215 to:
% 19.32/5.19 | (137) ~ (e2 = e0)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (22), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (261) all_0_20_20 = e3
% 19.32/5.19 |
% 19.32/5.19 | Equations (261) can reduce 668 to:
% 19.32/5.19 | (69) ~ (e3 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Equations (261) can reduce 839 to:
% 19.32/5.19 | (147) ~ (e3 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Equations (261) can reduce 186 to:
% 19.32/5.19 | (107) ~ (e3 = e0)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (20), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (251) all_0_16_16 = e3
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (320,251) yields a new equation:
% 19.32/5.19 | (365) e3 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (365) can reduce 107 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (208) ~ (all_0_16_16 = e3)
% 19.32/5.19 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 19.32/5.19 |
% 19.32/5.19 | Equations (320) can reduce 208 to:
% 19.32/5.19 | (189) ~ (e3 = e0)
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 189 yields:
% 19.32/5.19 | (107) ~ (e3 = e0)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (106), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (260) all_0_11_11 = e3
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (265,260) yields a new equation:
% 19.32/5.19 | (365) e3 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (365) can reduce 107 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (204) ~ (all_0_11_11 = e3)
% 19.32/5.19 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (628), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (419) all_0_15_15 = e3
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (836,419) yields a new equation:
% 19.32/5.19 | (414) e3 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (414) can reduce 147 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (329) ~ (all_0_15_15 = e3)
% 19.32/5.19 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (157), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (327) all_0_19_19 = e3
% 19.32/5.19 |
% 19.32/5.19 | Equations (327) can reduce 314 to:
% 19.32/5.19 | (69) ~ (e3 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Equations (327) can reduce 310 to:
% 19.32/5.19 | (147) ~ (e3 = e1)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (51), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (198) all_0_8_8 = e3
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (198,423) yields a new equation:
% 19.32/5.19 | (441) e3 = e1
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 441 yields:
% 19.32/5.19 | (414) e3 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (414) can reduce 147 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.19 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (4222), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (727) all_0_13_13 = e2
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (336,727) yields a new equation:
% 19.32/5.19 | (532) e3 = e2
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 532 yields:
% 19.32/5.19 | (533) e3 = e2
% 19.32/5.19 |
% 19.32/5.19 | Equations (533) can reduce 69 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.19 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (4238), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (226) all_0_18_18 = e1
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (222,226) yields a new equation:
% 19.32/5.19 | (716) e2 = e1
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 716 yields:
% 19.32/5.19 | (388) e2 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (388) can reduce 49 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.19 | (182) all_0_23_23 = e0
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (182,175) yields a new equation:
% 19.32/5.19 | (490) e2 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (490) can reduce 137 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (469) ~ (all_0_19_19 = e3)
% 19.32/5.19 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (965), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (327) all_0_19_19 = e3
% 19.32/5.19 |
% 19.32/5.19 | Equations (327) can reduce 469 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (469) ~ (all_0_19_19 = e3)
% 19.32/5.19 | (171) all_0_23_23 = e3
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (171,175) yields a new equation:
% 19.32/5.19 | (532) e3 = e2
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 532 yields:
% 19.32/5.19 | (533) e3 = e2
% 19.32/5.19 |
% 19.32/5.19 | Equations (533) can reduce 69 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (210) ~ (all_0_20_20 = e3)
% 19.32/5.19 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (157), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (327) all_0_19_19 = e3
% 19.32/5.19 |
% 19.32/5.19 | Equations (327) can reduce 314 to:
% 19.32/5.19 | (69) ~ (e3 = e2)
% 19.32/5.19 |
% 19.32/5.19 | Equations (327) can reduce 310 to:
% 19.32/5.19 | (147) ~ (e3 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Equations (327) can reduce 185 to:
% 19.32/5.19 | (107) ~ (e3 = e0)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (51), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (198) all_0_8_8 = e3
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (198,423) yields a new equation:
% 19.32/5.19 | (441) e3 = e1
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 441 yields:
% 19.32/5.19 | (414) e3 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (414) can reduce 147 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.19 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (423) can reduce 247 to:
% 19.32/5.19 | (438) ~ (e3 = e1)
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 438 yields:
% 19.32/5.19 | (147) ~ (e3 = e1)
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (656), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (417) all_0_21_21 = e3
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (286,417) yields a new equation:
% 19.32/5.19 | (365) e3 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (365) can reduce 107 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (1618) ~ (all_0_21_21 = e3)
% 19.32/5.19 | (1791) all_0_22_22 = e3 | all_0_23_23 = e3
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (1791), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (902) all_0_22_22 = e3
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (291,902) yields a new equation:
% 19.32/5.19 | (414) e3 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (414) can reduce 147 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (881) ~ (all_0_22_22 = e3)
% 19.32/5.19 | (171) all_0_23_23 = e3
% 19.32/5.19 |
% 19.32/5.19 | Combining equations (171,175) yields a new equation:
% 19.32/5.19 | (532) e3 = e2
% 19.32/5.19 |
% 19.32/5.19 | Simplifying 532 yields:
% 19.32/5.19 | (533) e3 = e2
% 19.32/5.19 |
% 19.32/5.19 | Equations (533) can reduce 69 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (469) ~ (all_0_19_19 = e3)
% 19.32/5.19 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (470), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (471) all_0_19_19 = e2
% 19.32/5.19 |
% 19.32/5.19 | Equations (471) can reduce 314 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (314) ~ (all_0_19_19 = e2)
% 19.32/5.19 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 19.32/5.19 |
% 19.32/5.19 +-Applying beta-rule and splitting (474), into two cases.
% 19.32/5.19 |-Branch one:
% 19.32/5.19 | (290) all_0_19_19 = e1
% 19.32/5.19 |
% 19.32/5.19 | Equations (290) can reduce 310 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (310) ~ (all_0_19_19 = e1)
% 19.32/5.19 | (295) all_0_19_19 = e0
% 19.32/5.19 |
% 19.32/5.19 | Equations (295) can reduce 185 to:
% 19.32/5.19 | (172) $false
% 19.32/5.19 |
% 19.32/5.19 |-The branch is then unsatisfiable
% 19.32/5.19 |-Branch two:
% 19.32/5.19 | (217) ~ (all_0_18_18 = e2)
% 19.32/5.20 | (471) all_0_19_19 = e2
% 19.32/5.20 |
% 19.32/5.20 | Equations (471) can reduce 314 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (216) ~ (all_0_13_13 = e3)
% 19.32/5.20 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (1157), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (727) all_0_13_13 = e2
% 19.32/5.20 |
% 19.32/5.20 | Equations (727) can reduce 242 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.20 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (2338), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (679) all_0_13_13 = e1
% 19.32/5.20 |
% 19.32/5.20 | Equations (679) can reduce 167 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (167) ~ (all_0_13_13 = e1)
% 19.32/5.20 | (507) all_0_13_13 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (507) can reduce 511 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (699) ~ (all_0_22_22 = e1)
% 19.32/5.20 | (296) all_0_22_22 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (296) can reduce 188 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (602) ~ (all_0_15_15 = e1)
% 19.32/5.20 | (5392) all_0_19_19 = e1 | all_0_23_23 = e1
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (5392), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (290) all_0_19_19 = e1
% 19.32/5.20 |
% 19.32/5.20 | Equations (290) can reduce 310 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (310) ~ (all_0_19_19 = e1)
% 19.32/5.20 | (179) all_0_23_23 = e1
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (179,175) yields a new equation:
% 19.32/5.20 | (388) e2 = e1
% 19.32/5.20 |
% 19.32/5.20 | Equations (388) can reduce 49 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (249) yields:
% 19.32/5.20 | (250) all_0_10_10 = e3
% 19.32/5.20 | (251) all_0_16_16 = e3
% 19.32/5.20 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (320,251) yields a new equation:
% 19.32/5.20 | (365) e3 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (365) can reduce 107 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (254) yields:
% 19.32/5.20 | (255) all_0_10_10 = e1
% 19.32/5.20 | (256) all_0_16_16 = e1
% 19.32/5.20 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (320,256) yields a new equation:
% 19.32/5.20 | (372) e1 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (372) can reduce 90 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (259) yields:
% 19.32/5.20 | (260) all_0_11_11 = e3
% 19.32/5.20 | (261) all_0_20_20 = e3
% 19.32/5.20 | (262) ~ (all_0_23_23 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Equations (260) can reduce 204 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (264) yields:
% 19.32/5.20 | (265) all_0_11_11 = e0
% 19.32/5.20 | (266) all_0_20_20 = e0
% 19.32/5.20 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.20 |
% 19.32/5.20 | Equations (266) can reduce 186 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (269) yields:
% 19.32/5.20 | (270) all_0_14_14 = e2
% 19.32/5.20 | (271) all_0_17_17 = e2
% 19.32/5.20 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (270,513) yields a new equation:
% 19.32/5.20 | (489) e2 = e0
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 489 yields:
% 19.32/5.20 | (490) e2 = e0
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (276,271) yields a new equation:
% 19.32/5.20 | (388) e2 = e1
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (490,388) yields a new equation:
% 19.32/5.20 | (372) e1 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (372) can reduce 90 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (274) yields:
% 19.32/5.20 | (275) all_0_14_14 = e1
% 19.32/5.20 | (276) all_0_17_17 = e1
% 19.32/5.20 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (275,513) yields a new equation:
% 19.32/5.20 | (371) e1 = e0
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 371 yields:
% 19.32/5.20 | (372) e1 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (372) can reduce 90 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (279) yields:
% 19.32/5.20 | (280) all_0_15_15 = e2
% 19.32/5.20 | (281) all_0_21_21 = e2
% 19.32/5.20 | (262) ~ (all_0_23_23 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (286,281) yields a new equation:
% 19.32/5.20 | (490) e2 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (490) can reduce 137 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (284) yields:
% 19.32/5.20 | (285) all_0_15_15 = e0
% 19.32/5.20 | (286) all_0_21_21 = e0
% 19.32/5.20 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.20 |
% 19.32/5.20 | Equations (285) can reduce 184 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (289) yields:
% 19.32/5.20 | (290) all_0_19_19 = e1
% 19.32/5.20 | (291) all_0_22_22 = e1
% 19.32/5.20 | (262) ~ (all_0_23_23 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Equations (290) can reduce 310 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Applying alpha-rule on (294) yields:
% 19.32/5.20 | (295) all_0_19_19 = e0
% 19.32/5.20 | (296) all_0_22_22 = e0
% 19.32/5.20 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Equations (296) can reduce 188 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (228) ~ (all_0_17_17 = e1)
% 19.32/5.20 | (1292) all_0_21_21 = e1
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (286,1292) yields a new equation:
% 19.32/5.20 | (372) e1 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (372) can reduce 90 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (480) ~ (all_0_16_16 = e0)
% 19.32/5.20 | (266) all_0_20_20 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (266) can reduce 186 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (594) ~ (all_0_14_14 = e0)
% 19.32/5.20 | (1480) all_0_18_18 = e0 | all_0_22_22 = e0
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (1480), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (300) all_0_18_18 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (300) can reduce 215 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (215) ~ (all_0_18_18 = e0)
% 19.32/5.20 | (296) all_0_22_22 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (296) can reduce 188 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (636) ~ (all_0_9_9 = e2)
% 19.32/5.20 | (5594) all_0_9_9 = e1 | all_0_9_9 = e0
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (5594), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (428) all_0_9_9 = e1
% 19.32/5.20 |
% 19.32/5.20 | Equations (428) can reduce 304 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (304) ~ (all_0_9_9 = e1)
% 19.32/5.20 | (672) all_0_9_9 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (672) can reduce 842 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (300) all_0_18_18 = e0
% 19.32/5.20 | (290) all_0_19_19 = e1
% 19.32/5.20 |
% 19.32/5.20 | Equations (300) can reduce 42 to:
% 19.32/5.20 | (599) ~ (all_0_10_10 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Equations (290) can reduce 149 to:
% 19.32/5.20 | (602) ~ (all_0_15_15 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Equations (300) can reduce 108 to:
% 19.32/5.20 | (480) ~ (all_0_16_16 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Equations (300) can reduce 121 to:
% 19.32/5.20 | (486) ~ (all_0_17_17 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Equations (290) can reduce 150 to:
% 19.32/5.20 | (228) ~ (all_0_17_17 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Equations (300,290) can reduce 123 to:
% 19.32/5.20 | (193) ~ (e1 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 193 yields:
% 19.32/5.20 | (90) ~ (e1 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Equations (290) can reduce 314 to:
% 19.32/5.20 | (307) ~ (e2 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 307 yields:
% 19.32/5.20 | (49) ~ (e2 = e1)
% 19.32/5.20 |
% 19.32/5.20 | From (300)(300) and (116) follows:
% 19.32/5.20 | (3667) op(e0, e0) = all_0_3_3
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (64), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (428) all_0_9_9 = e1
% 19.32/5.20 |
% 19.32/5.20 | Equations (428) can reduce 18 to:
% 19.32/5.20 | (4898) ~ (all_0_13_13 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 4898 yields:
% 19.32/5.20 | (167) ~ (all_0_13_13 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Equations (428) can reduce 13 to:
% 19.32/5.20 | (976) ~ (all_0_17_17 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 976 yields:
% 19.32/5.20 | (228) ~ (all_0_17_17 = e1)
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (82), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (1100) all_0_8_8 = e2
% 19.32/5.20 |
% 19.32/5.20 | Equations (1100) can reduce 196 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (196) ~ (all_0_8_8 = e2)
% 19.32/5.20 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (1193), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (245) all_0_9_9 = e2
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (245,428) yields a new equation:
% 19.32/5.20 | (716) e2 = e1
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 716 yields:
% 19.32/5.20 | (388) e2 = e1
% 19.32/5.20 |
% 19.32/5.20 | Equations (388) can reduce 49 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (636) ~ (all_0_9_9 = e2)
% 19.32/5.20 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (4507), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (403) all_0_10_10 = e2
% 19.32/5.20 |
% 19.32/5.20 | Equations (403) can reduce 59 to:
% 19.32/5.20 | (196) ~ (all_0_8_8 = e2)
% 19.32/5.20 |
% 19.32/5.20 | Equations (403) can reduce 65 to:
% 19.32/5.20 | (497) ~ (all_0_14_14 = e2)
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 497 yields:
% 19.32/5.20 | (498) ~ (all_0_14_14 = e2)
% 19.32/5.20 |
% 19.32/5.20 | Equations (403) can reduce 145 to:
% 19.32/5.20 | (2115) ~ (all_0_22_22 = e2)
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 2115 yields:
% 19.32/5.20 | (933) ~ (all_0_22_22 = e2)
% 19.32/5.20 |
% 19.32/5.20 | Equations (403) can reduce 599 to:
% 19.32/5.20 | (137) ~ (e2 = e0)
% 19.32/5.20 |
% 19.32/5.20 | Instantiating formula (143) with e0, e0, all_0_3_3, e2 and discharging atoms op(e0, e0) = all_0_3_3, op(e0, e0) = e2, yields:
% 19.32/5.20 | (6787) all_0_3_3 = e2
% 19.32/5.20 |
% 19.32/5.20 | From (6787) and (44) follows:
% 19.32/5.20 | (6788) op(e2, e1) = all_0_2_2
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (62), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (6789) ~ (all_0_2_2 = e3)
% 19.32/5.20 |
% 19.32/5.20 | Instantiating formula (143) with e2, e1, all_0_2_2, all_0_14_14 and discharging atoms op(e2, e1) = all_0_2_2, op(e2, e1) = all_0_14_14, yields:
% 19.32/5.20 | (6790) all_0_2_2 = all_0_14_14
% 19.32/5.20 |
% 19.32/5.20 | Equations (6790) can reduce 6789 to:
% 19.32/5.20 | (444) ~ (all_0_14_14 = e3)
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (91), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (440) all_0_14_14 = e3
% 19.32/5.20 |
% 19.32/5.20 | Equations (440) can reduce 444 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (444) ~ (all_0_14_14 = e3)
% 19.32/5.20 | (911) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (23), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (250) all_0_10_10 = e3
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (403,250) yields a new equation:
% 19.32/5.20 | (533) e3 = e2
% 19.32/5.20 |
% 19.32/5.20 | Equations (533) can reduce 69 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (202) ~ (all_0_10_10 = e3)
% 19.32/5.20 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (890), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (440) all_0_14_14 = e3
% 19.32/5.20 |
% 19.32/5.20 | Equations (440) can reduce 444 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (444) ~ (all_0_14_14 = e3)
% 19.32/5.20 | (915) all_0_18_18 = e3 | all_0_22_22 = e3
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (915), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (218) all_0_18_18 = e3
% 19.32/5.20 |
% 19.32/5.20 | Combining equations (300,218) yields a new equation:
% 19.32/5.20 | (365) e3 = e0
% 19.32/5.20 |
% 19.32/5.20 | Equations (365) can reduce 107 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (214) ~ (all_0_18_18 = e3)
% 19.32/5.20 | (902) all_0_22_22 = e3
% 19.32/5.20 |
% 19.32/5.20 | Equations (902) can reduce 87 to:
% 19.32/5.20 | (210) ~ (all_0_20_20 = e3)
% 19.32/5.20 |
% 19.32/5.20 | Equations (902) can reduce 933 to:
% 19.32/5.20 | (69) ~ (e3 = e2)
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (72), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (261) all_0_20_20 = e3
% 19.32/5.20 |
% 19.32/5.20 | Equations (261) can reduce 210 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (210) ~ (all_0_20_20 = e3)
% 19.32/5.20 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (686), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (687) all_0_20_20 = e2
% 19.32/5.20 |
% 19.32/5.20 | Equations (687) can reduce 668 to:
% 19.32/5.20 | (172) $false
% 19.32/5.20 |
% 19.32/5.20 |-The branch is then unsatisfiable
% 19.32/5.20 |-Branch two:
% 19.32/5.20 | (668) ~ (all_0_20_20 = e2)
% 19.32/5.20 | (690) all_0_20_20 = e1 | all_0_20_20 = e0
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (690), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (691) all_0_20_20 = e1
% 19.32/5.20 |
% 19.32/5.20 | Equations (691) can reduce 166 to:
% 19.32/5.20 | (195) ~ (all_0_8_8 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Equations (691) can reduce 41 to:
% 19.32/5.20 | (660) ~ (all_0_12_12 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Equations (691) can reduce 210 to:
% 19.32/5.20 | (438) ~ (e3 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 438 yields:
% 19.32/5.20 | (147) ~ (e3 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Equations (691) can reduce 668 to:
% 19.32/5.20 | (307) ~ (e2 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Simplifying 307 yields:
% 19.32/5.20 | (49) ~ (e2 = e1)
% 19.32/5.20 |
% 19.32/5.20 | Equations (691) can reduce 186 to:
% 19.32/5.20 | (90) ~ (e1 = e0)
% 19.32/5.20 |
% 19.32/5.20 +-Applying beta-rule and splitting (152), into two cases.
% 19.32/5.20 |-Branch one:
% 19.32/5.20 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (229), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (230), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (231), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (232), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (233), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (234), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (235), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (236), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (237), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (238), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (239) yields:
% 19.32/5.21 | (240) all_0_9_9 = e3
% 19.32/5.21 | (241) all_0_12_12 = e3
% 19.32/5.21 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (240,428) yields a new equation:
% 19.32/5.21 | (441) e3 = e1
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 441 yields:
% 19.32/5.21 | (414) e3 = e1
% 19.32/5.21 |
% 19.32/5.21 | Equations (414) can reduce 147 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (244) yields:
% 19.32/5.21 | (245) all_0_9_9 = e2
% 19.32/5.21 | (246) all_0_12_12 = e2
% 19.32/5.21 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (245,428) yields a new equation:
% 19.32/5.21 | (716) e2 = e1
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 716 yields:
% 19.32/5.21 | (388) e2 = e1
% 19.32/5.21 |
% 19.32/5.21 | Equations (388) can reduce 49 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (249) yields:
% 19.32/5.21 | (250) all_0_10_10 = e3
% 19.32/5.21 | (251) all_0_16_16 = e3
% 19.32/5.21 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (250,403) yields a new equation:
% 19.32/5.21 | (532) e3 = e2
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 532 yields:
% 19.32/5.21 | (533) e3 = e2
% 19.32/5.21 |
% 19.32/5.21 | Equations (533) can reduce 69 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (254) yields:
% 19.32/5.21 | (255) all_0_10_10 = e1
% 19.32/5.21 | (256) all_0_16_16 = e1
% 19.32/5.21 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (255,403) yields a new equation:
% 19.32/5.21 | (388) e2 = e1
% 19.32/5.21 |
% 19.32/5.21 | Equations (388) can reduce 49 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (259) yields:
% 19.32/5.21 | (260) all_0_11_11 = e3
% 19.32/5.21 | (261) all_0_20_20 = e3
% 19.32/5.21 | (262) ~ (all_0_23_23 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (691,261) yields a new equation:
% 19.32/5.21 | (414) e3 = e1
% 19.32/5.21 |
% 19.32/5.21 | Equations (414) can reduce 147 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (264) yields:
% 19.32/5.21 | (265) all_0_11_11 = e0
% 19.32/5.21 | (266) all_0_20_20 = e0
% 19.32/5.21 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (691,266) yields a new equation:
% 19.32/5.21 | (371) e1 = e0
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 371 yields:
% 19.32/5.21 | (372) e1 = e0
% 19.32/5.21 |
% 19.32/5.21 | Equations (372) can reduce 90 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (269) yields:
% 19.32/5.21 | (270) all_0_14_14 = e2
% 19.32/5.21 | (271) all_0_17_17 = e2
% 19.32/5.21 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.21 |
% 19.32/5.21 | Equations (270) can reduce 498 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (274) yields:
% 19.32/5.21 | (275) all_0_14_14 = e1
% 19.32/5.21 | (276) all_0_17_17 = e1
% 19.32/5.21 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Equations (276) can reduce 228 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (279) yields:
% 19.32/5.21 | (280) all_0_15_15 = e2
% 19.32/5.21 | (281) all_0_21_21 = e2
% 19.32/5.21 | (262) ~ (all_0_23_23 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (286,281) yields a new equation:
% 19.32/5.21 | (490) e2 = e0
% 19.32/5.21 |
% 19.32/5.21 | Equations (490) can reduce 137 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Applying alpha-rule on (284) yields:
% 19.32/5.21 | (285) all_0_15_15 = e0
% 19.32/5.21 | (286) all_0_21_21 = e0
% 19.32/5.21 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Equations (285) can reduce 162 to:
% 19.32/5.21 | (505) ~ (all_0_12_12 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Equations (285) can reduce 84 to:
% 19.32/5.21 | (511) ~ (all_0_13_13 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Equations (285) can reduce 50 to:
% 19.32/5.21 | (594) ~ (all_0_14_14 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Equations (285) can reduce 1585 to:
% 19.32/5.21 | (191) ~ (e2 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 191 yields:
% 19.32/5.21 | (137) ~ (e2 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Equations (285) can reduce 602 to:
% 19.32/5.21 | (193) ~ (e1 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 193 yields:
% 19.32/5.21 | (90) ~ (e1 = e0)
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (70), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (613) all_0_8_8 = e0
% 19.32/5.21 |
% 19.32/5.21 | Equations (613) can reduce 39 to:
% 19.32/5.21 | (1632) ~ (all_0_11_11 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 1632 yields:
% 19.32/5.21 | (183) ~ (all_0_11_11 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Equations (613) can reduce 35 to:
% 19.32/5.21 | (6908) ~ (all_0_12_12 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 6908 yields:
% 19.32/5.21 | (505) ~ (all_0_12_12 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Equations (613) can reduce 104 to:
% 19.32/5.21 | (641) ~ (all_0_16_16 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 641 yields:
% 19.32/5.21 | (480) ~ (all_0_16_16 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Equations (613) can reduce 196 to:
% 19.32/5.21 | (191) ~ (e2 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 191 yields:
% 19.32/5.21 | (137) ~ (e2 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Equations (613) can reduce 195 to:
% 19.32/5.21 | (193) ~ (e1 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 193 yields:
% 19.32/5.21 | (90) ~ (e1 = e0)
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (96), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (657) all_0_12_12 = e1
% 19.32/5.21 |
% 19.32/5.21 | Equations (657) can reduce 660 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (660) ~ (all_0_12_12 = e1)
% 19.32/5.21 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (124), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (197) ~ (all_0_8_8 = e0)
% 19.32/5.21 |
% 19.32/5.21 | Equations (613) can reduce 197 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (613) all_0_8_8 = e0
% 19.32/5.21 | (260) all_0_11_11 = e3
% 19.32/5.21 |
% 19.32/5.21 | Equations (260) can reduce 183 to:
% 19.32/5.21 | (107) ~ (e3 = e0)
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (661), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (679) all_0_13_13 = e1
% 19.32/5.21 |
% 19.32/5.21 | Equations (679) can reduce 167 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (167) ~ (all_0_13_13 = e1)
% 19.32/5.21 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (682), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (275) all_0_14_14 = e1
% 19.32/5.21 |
% 19.32/5.21 | Equations (275) can reduce 127 to:
% 19.32/5.21 | (660) ~ (all_0_12_12 = e1)
% 19.32/5.21 |
% 19.32/5.21 | Equations (275) can reduce 12 to:
% 19.32/5.21 | (167) ~ (all_0_13_13 = e1)
% 19.32/5.21 |
% 19.32/5.21 | Equations (275) can reduce 594 to:
% 19.32/5.21 | (90) ~ (e1 = e0)
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (25), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (336) all_0_13_13 = e3
% 19.32/5.21 |
% 19.32/5.21 | Equations (336) can reduce 5 to:
% 19.32/5.21 | (1615) ~ (all_0_17_17 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 1615 yields:
% 19.32/5.21 | (416) ~ (all_0_17_17 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Equations (336) can reduce 167 to:
% 19.32/5.21 | (147) ~ (e3 = e1)
% 19.32/5.21 |
% 19.32/5.21 | Equations (336) can reduce 511 to:
% 19.32/5.21 | (107) ~ (e3 = e0)
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (153), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (216) ~ (all_0_13_13 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Equations (336) can reduce 216 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (336) all_0_13_13 = e3
% 19.32/5.21 | (246) all_0_12_12 = e2
% 19.32/5.21 |
% 19.32/5.21 | Equations (246) can reduce 71 to:
% 19.32/5.21 | (1606) ~ (all_0_16_16 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 1606 yields:
% 19.32/5.21 | (854) ~ (all_0_16_16 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Equations (246) can reduce 660 to:
% 19.32/5.21 | (49) ~ (e2 = e1)
% 19.32/5.21 |
% 19.32/5.21 | Equations (246) can reduce 505 to:
% 19.32/5.21 | (137) ~ (e2 = e0)
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (20), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (251) all_0_16_16 = e3
% 19.32/5.21 |
% 19.32/5.21 | Equations (251) can reduce 148 to:
% 19.32/5.21 | (1615) ~ (all_0_17_17 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 1615 yields:
% 19.32/5.21 | (416) ~ (all_0_17_17 = e3)
% 19.32/5.21 |
% 19.32/5.21 | Equations (251) can reduce 854 to:
% 19.32/5.21 | (69) ~ (e3 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Equations (251) can reduce 480 to:
% 19.32/5.21 | (107) ~ (e3 = e0)
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (19), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (666) all_0_16_16 = e2
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (251,666) yields a new equation:
% 19.32/5.21 | (532) e3 = e2
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 532 yields:
% 19.32/5.21 | (533) e3 = e2
% 19.32/5.21 |
% 19.32/5.21 | Equations (533) can reduce 69 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (854) ~ (all_0_16_16 = e2)
% 19.32/5.21 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (1000), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (271) all_0_17_17 = e2
% 19.32/5.21 |
% 19.32/5.21 | Equations (271) can reduce 416 to:
% 19.32/5.21 | (499) ~ (e3 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 499 yields:
% 19.32/5.21 | (69) ~ (e3 = e2)
% 19.32/5.21 |
% 19.32/5.21 | Equations (271) can reduce 486 to:
% 19.32/5.21 | (137) ~ (e2 = e0)
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (51), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (198) all_0_8_8 = e3
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (198,613) yields a new equation:
% 19.32/5.21 | (364) e3 = e0
% 19.32/5.21 |
% 19.32/5.21 | Simplifying 364 yields:
% 19.32/5.21 | (365) e3 = e0
% 19.32/5.21 |
% 19.32/5.21 | Equations (365) can reduce 107 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (247) ~ (all_0_8_8 = e3)
% 19.32/5.21 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (4222), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (727) all_0_13_13 = e2
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (727,336) yields a new equation:
% 19.32/5.21 | (533) e3 = e2
% 19.32/5.21 |
% 19.32/5.21 | Equations (533) can reduce 69 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (242) ~ (all_0_13_13 = e2)
% 19.32/5.21 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.32/5.21 |
% 19.32/5.21 +-Applying beta-rule and splitting (4238), into two cases.
% 19.32/5.21 |-Branch one:
% 19.32/5.21 | (226) all_0_18_18 = e1
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (300,226) yields a new equation:
% 19.32/5.21 | (372) e1 = e0
% 19.32/5.21 |
% 19.32/5.21 | Equations (372) can reduce 90 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.32/5.21 |-Branch two:
% 19.32/5.21 | (252) ~ (all_0_18_18 = e1)
% 19.32/5.21 | (182) all_0_23_23 = e0
% 19.32/5.21 |
% 19.32/5.21 | Combining equations (182,175) yields a new equation:
% 19.32/5.21 | (490) e2 = e0
% 19.32/5.21 |
% 19.32/5.21 | Equations (490) can reduce 137 to:
% 19.32/5.21 | (172) $false
% 19.32/5.21 |
% 19.32/5.21 |-The branch is then unsatisfiable
% 19.49/5.21 |-Branch two:
% 19.49/5.21 | (1004) ~ (all_0_17_17 = e2)
% 19.49/5.21 | (1005) all_0_18_18 = e2 | all_0_19_19 = e2
% 19.49/5.21 |
% 19.49/5.21 +-Applying beta-rule and splitting (1005), into two cases.
% 19.49/5.21 |-Branch one:
% 19.49/5.21 | (222) all_0_18_18 = e2
% 19.49/5.21 |
% 19.49/5.21 | Combining equations (300,222) yields a new equation:
% 19.49/5.21 | (490) e2 = e0
% 19.49/5.21 |
% 19.49/5.21 | Equations (490) can reduce 137 to:
% 19.49/5.21 | (172) $false
% 19.49/5.21 |
% 19.49/5.21 |-The branch is then unsatisfiable
% 19.49/5.21 |-Branch two:
% 19.49/5.21 | (217) ~ (all_0_18_18 = e2)
% 19.49/5.21 | (471) all_0_19_19 = e2
% 19.49/5.21 |
% 19.49/5.21 | Combining equations (290,471) yields a new equation:
% 19.49/5.21 | (388) e2 = e1
% 19.49/5.21 |
% 19.49/5.21 | Equations (388) can reduce 49 to:
% 19.49/5.21 | (172) $false
% 19.49/5.21 |
% 19.49/5.21 |-The branch is then unsatisfiable
% 19.49/5.22 |-Branch two:
% 19.49/5.22 | (208) ~ (all_0_16_16 = e3)
% 19.49/5.22 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 19.49/5.22 |
% 19.49/5.22 +-Applying beta-rule and splitting (648), into two cases.
% 19.49/5.22 |-Branch one:
% 19.49/5.22 | (413) all_0_17_17 = e3
% 19.49/5.22 |
% 19.49/5.22 | Equations (413) can reduce 416 to:
% 19.49/5.22 | (172) $false
% 19.49/5.22 |
% 19.49/5.22 |-The branch is then unsatisfiable
% 19.49/5.22 |-Branch two:
% 19.49/5.22 | (416) ~ (all_0_17_17 = e3)
% 19.49/5.22 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 19.49/5.22 |
% 19.49/5.22 +-Applying beta-rule and splitting (862), into two cases.
% 19.49/5.22 |-Branch one:
% 19.49/5.22 | (218) all_0_18_18 = e3
% 19.49/5.22 |
% 19.49/5.22 | Combining equations (300,218) yields a new equation:
% 19.49/5.22 | (365) e3 = e0
% 19.49/5.22 |
% 19.49/5.22 | Equations (365) can reduce 107 to:
% 19.49/5.22 | (172) $false
% 19.49/5.22 |
% 19.49/5.22 |-The branch is then unsatisfiable
% 19.49/5.22 |-Branch two:
% 19.49/5.22 | (214) ~ (all_0_18_18 = e3)
% 19.49/5.22 | (327) all_0_19_19 = e3
% 19.49/5.22 |
% 19.49/5.22 | Combining equations (290,327) yields a new equation:
% 19.49/5.22 | (414) e3 = e1
% 19.49/5.22 |
% 19.49/5.22 | Equations (414) can reduce 147 to:
% 19.49/5.22 | (172) $false
% 19.49/5.22 |
% 19.49/5.22 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (216) ~ (all_0_13_13 = e3)
% 19.49/5.23 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (1157), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (727) all_0_13_13 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 242 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (51), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (198) all_0_8_8 = e3
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (198,613) yields a new equation:
% 19.49/5.23 | (364) e3 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 364 yields:
% 19.49/5.23 | (365) e3 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (365) can reduce 107 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (247) ~ (all_0_8_8 = e3)
% 19.49/5.23 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (4222), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (727) all_0_13_13 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 242 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (4238), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (226) all_0_18_18 = e1
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (226,300) yields a new equation:
% 19.49/5.23 | (371) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 371 yields:
% 19.49/5.23 | (372) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (372) can reduce 90 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (252) ~ (all_0_18_18 = e1)
% 19.49/5.23 | (182) all_0_23_23 = e0
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (182,175) yields a new equation:
% 19.49/5.23 | (490) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (490) can reduce 137 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (835) ~ (all_0_14_14 = e1)
% 19.49/5.23 | (836) all_0_15_15 = e1
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (285,836) yields a new equation:
% 19.49/5.23 | (372) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (372) can reduce 90 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (197) ~ (all_0_8_8 = e0)
% 19.49/5.23 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (58), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (613) all_0_8_8 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (613) can reduce 197 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (197) ~ (all_0_8_8 = e0)
% 19.49/5.23 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (51), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (198) all_0_8_8 = e3
% 19.49/5.23 |
% 19.49/5.23 | Equations (198) can reduce 196 to:
% 19.49/5.23 | (69) ~ (e3 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Equations (198) can reduce 195 to:
% 19.49/5.23 | (147) ~ (e3 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (198) can reduce 197 to:
% 19.49/5.23 | (107) ~ (e3 = e0)
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (128), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (245) all_0_9_9 = e2
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (245,428) yields a new equation:
% 19.49/5.23 | (716) e2 = e1
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 716 yields:
% 19.49/5.23 | (388) e2 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (388) can reduce 49 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (636) ~ (all_0_9_9 = e2)
% 19.49/5.23 | (5885) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (25), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (336) all_0_13_13 = e3
% 19.49/5.23 |
% 19.49/5.23 | Equations (336) can reduce 112 to:
% 19.49/5.23 | (206) ~ (all_0_12_12 = e3)
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (911), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (270) all_0_14_14 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (270) can reduce 498 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (498) ~ (all_0_14_14 = e2)
% 19.49/5.23 | (919) all_0_14_14 = e1 | all_0_14_14 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (919), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (275) all_0_14_14 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (275) can reduce 594 to:
% 19.49/5.23 | (90) ~ (e1 = e0)
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (153), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (216) ~ (all_0_13_13 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Equations (336) can reduce 216 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (336) all_0_13_13 = e3
% 19.49/5.23 | (246) all_0_12_12 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (246) can reduce 206 to:
% 19.49/5.23 | (499) ~ (e3 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 499 yields:
% 19.49/5.23 | (69) ~ (e3 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Equations (246) can reduce 505 to:
% 19.49/5.23 | (137) ~ (e2 = e0)
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (5885), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (727) all_0_13_13 = e2
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (336,727) yields a new equation:
% 19.49/5.23 | (532) e3 = e2
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 532 yields:
% 19.49/5.23 | (533) e3 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (533) can reduce 69 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 | (5896) all_0_17_17 = e2 | all_0_21_21 = e2
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (5896), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (271) all_0_17_17 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (271) can reduce 486 to:
% 19.49/5.23 | (137) ~ (e2 = e0)
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (623), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (501) all_0_12_12 = e0
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (246,501) yields a new equation:
% 19.49/5.23 | (489) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 489 yields:
% 19.49/5.23 | (490) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (490) can reduce 137 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (505) ~ (all_0_12_12 = e0)
% 19.49/5.23 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (2089), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (320) all_0_16_16 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (320) can reduce 480 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (480) ~ (all_0_16_16 = e0)
% 19.49/5.23 | (266) all_0_20_20 = e0
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (691,266) yields a new equation:
% 19.49/5.23 | (371) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 371 yields:
% 19.49/5.23 | (372) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (372) can reduce 90 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (1004) ~ (all_0_17_17 = e2)
% 19.49/5.23 | (281) all_0_21_21 = e2
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (286,281) yields a new equation:
% 19.49/5.23 | (490) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (490) can reduce 137 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (835) ~ (all_0_14_14 = e1)
% 19.49/5.23 | (513) all_0_14_14 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (513) can reduce 594 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (216) ~ (all_0_13_13 = e3)
% 19.49/5.23 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (1157), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (727) all_0_13_13 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 242 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (133), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (240) all_0_9_9 = e3
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (240,428) yields a new equation:
% 19.49/5.23 | (441) e3 = e1
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 441 yields:
% 19.49/5.23 | (414) e3 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (414) can reduce 147 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (200) ~ (all_0_9_9 = e3)
% 19.49/5.23 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (319), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (336) all_0_13_13 = e3
% 19.49/5.23 |
% 19.49/5.23 | Equations (336) can reduce 216 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (216) ~ (all_0_13_13 = e3)
% 19.49/5.23 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (402), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (413) all_0_17_17 = e3
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (5885), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (727) all_0_13_13 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 242 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 | (5896) all_0_17_17 = e2 | all_0_21_21 = e2
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (5896), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (271) all_0_17_17 = e2
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (413,271) yields a new equation:
% 19.49/5.23 | (532) e3 = e2
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 532 yields:
% 19.49/5.23 | (533) e3 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (533) can reduce 69 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (1004) ~ (all_0_17_17 = e2)
% 19.49/5.23 | (281) all_0_21_21 = e2
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (281,286) yields a new equation:
% 19.49/5.23 | (489) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 489 yields:
% 19.49/5.23 | (490) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (490) can reduce 137 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (416) ~ (all_0_17_17 = e3)
% 19.49/5.23 | (417) all_0_21_21 = e3
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (286,417) yields a new equation:
% 19.49/5.23 | (365) e3 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (365) can reduce 107 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (247) ~ (all_0_8_8 = e3)
% 19.49/5.23 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (4222), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (727) all_0_13_13 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 242 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (4238), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (226) all_0_18_18 = e1
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (300,226) yields a new equation:
% 19.49/5.23 | (372) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (372) can reduce 90 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (252) ~ (all_0_18_18 = e1)
% 19.49/5.23 | (182) all_0_23_23 = e0
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (175,182) yields a new equation:
% 19.49/5.23 | (489) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 489 yields:
% 19.49/5.23 | (490) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (490) can reduce 137 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (289) yields:
% 19.49/5.23 | (290) all_0_19_19 = e1
% 19.49/5.23 | (291) all_0_22_22 = e1
% 19.49/5.23 | (262) ~ (all_0_23_23 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (291,902) yields a new equation:
% 19.49/5.23 | (414) e3 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (414) can reduce 147 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (294) yields:
% 19.49/5.23 | (295) all_0_19_19 = e0
% 19.49/5.23 | (296) all_0_22_22 = e0
% 19.49/5.23 | (252) ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (290,295) yields a new equation:
% 19.49/5.23 | (371) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 371 yields:
% 19.49/5.23 | (372) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (372) can reduce 90 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (839) ~ (all_0_20_20 = e1)
% 19.49/5.23 | (266) all_0_20_20 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (266) can reduce 186 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (7152) all_0_2_2 = e3
% 19.49/5.23 | (7153) ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e0)
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (7153), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (7154) ~ (all_0_3_3 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Equations (6787) can reduce 7154 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (6787) all_0_3_3 = e2
% 19.49/5.23 | (215) ~ (all_0_18_18 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Equations (300) can reduce 215 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (305) ~ (all_0_10_10 = e2)
% 19.49/5.23 | (635) all_0_11_11 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (635) can reduce 953 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (304) ~ (all_0_9_9 = e1)
% 19.49/5.23 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (1283), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (679) all_0_13_13 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (679) can reduce 167 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (167) ~ (all_0_13_13 = e1)
% 19.49/5.23 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (1287), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (276) all_0_17_17 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (276) can reduce 228 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (228) ~ (all_0_17_17 = e1)
% 19.49/5.23 | (1292) all_0_21_21 = e1
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (1292,286) yields a new equation:
% 19.49/5.23 | (371) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 371 yields:
% 19.49/5.23 | (372) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (372) can reduce 90 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (1100) all_0_8_8 = e2
% 19.49/5.23 | (240) all_0_9_9 = e3
% 19.49/5.23 |
% 19.49/5.23 | Equations (1100,240) can reduce 113 to:
% 19.49/5.23 | (499) ~ (e3 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 499 yields:
% 19.49/5.23 | (69) ~ (e3 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Equations (240) can reduce 79 to:
% 19.49/5.23 | (201) ~ (all_0_10_10 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 201 yields:
% 19.49/5.23 | (202) ~ (all_0_10_10 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Equations (240) can reduce 97 to:
% 19.49/5.23 | (203) ~ (all_0_11_11 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 203 yields:
% 19.49/5.23 | (204) ~ (all_0_11_11 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Equations (240) can reduce 18 to:
% 19.49/5.23 | (1613) ~ (all_0_13_13 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 1613 yields:
% 19.49/5.23 | (216) ~ (all_0_13_13 = e3)
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (64), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (428) all_0_9_9 = e1
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (240,428) yields a new equation:
% 19.49/5.23 | (441) e3 = e1
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 441 yields:
% 19.49/5.23 | (414) e3 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (414) can reduce 147 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (304) ~ (all_0_9_9 = e1)
% 19.49/5.23 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (1283), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (679) all_0_13_13 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (679) can reduce 167 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (167) ~ (all_0_13_13 = e1)
% 19.49/5.23 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (1287), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (276) all_0_17_17 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (276) can reduce 5 to:
% 19.49/5.23 | (167) ~ (all_0_13_13 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (276) can reduce 148 to:
% 19.49/5.23 | (227) ~ (all_0_16_16 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (276) can reduce 121 to:
% 19.49/5.23 | (4195) ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 4195 yields:
% 19.49/5.23 | (252) ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (276) can reduce 150 to:
% 19.49/5.23 | (309) ~ (all_0_19_19 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 309 yields:
% 19.49/5.23 | (310) ~ (all_0_19_19 = e1)
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (51), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (198) all_0_8_8 = e3
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (198,1100) yields a new equation:
% 19.49/5.23 | (532) e3 = e2
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 532 yields:
% 19.49/5.23 | (533) e3 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (533) can reduce 69 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (247) ~ (all_0_8_8 = e3)
% 19.49/5.23 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (4222), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (727) all_0_13_13 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 216 to:
% 19.49/5.23 | (499) ~ (e3 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 499 yields:
% 19.49/5.23 | (69) ~ (e3 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 167 to:
% 19.49/5.23 | (49) ~ (e2 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 511 to:
% 19.49/5.23 | (137) ~ (e2 = e0)
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (152), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (229), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (230), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (231), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (232), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (233), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (234), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (235), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (236), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (237), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (238), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (239) yields:
% 19.49/5.23 | (240) all_0_9_9 = e3
% 19.49/5.23 | (241) all_0_12_12 = e3
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 242 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (244) yields:
% 19.49/5.23 | (245) all_0_9_9 = e2
% 19.49/5.23 | (246) all_0_12_12 = e2
% 19.49/5.23 | (247) ~ (all_0_8_8 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (240,245) yields a new equation:
% 19.49/5.23 | (532) e3 = e2
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 532 yields:
% 19.49/5.23 | (533) e3 = e2
% 19.49/5.23 |
% 19.49/5.23 | Equations (533) can reduce 69 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (249) yields:
% 19.49/5.23 | (250) all_0_10_10 = e3
% 19.49/5.23 | (251) all_0_16_16 = e3
% 19.49/5.23 | (252) ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (250) can reduce 202 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (254) yields:
% 19.49/5.23 | (255) all_0_10_10 = e1
% 19.49/5.23 | (256) all_0_16_16 = e1
% 19.49/5.23 | (247) ~ (all_0_8_8 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Equations (256) can reduce 227 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (259) yields:
% 19.49/5.23 | (260) all_0_11_11 = e3
% 19.49/5.23 | (261) all_0_20_20 = e3
% 19.49/5.23 | (262) ~ (all_0_23_23 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Equations (260) can reduce 204 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (264) yields:
% 19.49/5.23 | (265) all_0_11_11 = e0
% 19.49/5.23 | (266) all_0_20_20 = e0
% 19.49/5.23 | (247) ~ (all_0_8_8 = e3)
% 19.49/5.23 |
% 19.49/5.23 | Equations (266) can reduce 186 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (269) yields:
% 19.49/5.23 | (270) all_0_14_14 = e2
% 19.49/5.23 | (271) all_0_17_17 = e2
% 19.49/5.23 | (252) ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (271,276) yields a new equation:
% 19.49/5.23 | (716) e2 = e1
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 716 yields:
% 19.49/5.23 | (388) e2 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (388) can reduce 49 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (274) yields:
% 19.49/5.23 | (275) all_0_14_14 = e1
% 19.49/5.23 | (276) all_0_17_17 = e1
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 242 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (279) yields:
% 19.49/5.23 | (280) all_0_15_15 = e2
% 19.49/5.23 | (281) all_0_21_21 = e2
% 19.49/5.23 | (262) ~ (all_0_23_23 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (281,286) yields a new equation:
% 19.49/5.23 | (489) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 489 yields:
% 19.49/5.23 | (490) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (490) can reduce 137 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (284) yields:
% 19.49/5.23 | (285) all_0_15_15 = e0
% 19.49/5.23 | (286) all_0_21_21 = e0
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 |
% 19.49/5.23 | Equations (727) can reduce 242 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (289) yields:
% 19.49/5.23 | (290) all_0_19_19 = e1
% 19.49/5.23 | (291) all_0_22_22 = e1
% 19.49/5.23 | (262) ~ (all_0_23_23 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Equations (290) can reduce 310 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Applying alpha-rule on (294) yields:
% 19.49/5.23 | (295) all_0_19_19 = e0
% 19.49/5.23 | (296) all_0_22_22 = e0
% 19.49/5.23 | (252) ~ (all_0_18_18 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (296) can reduce 188 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (242) ~ (all_0_13_13 = e2)
% 19.49/5.23 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.49/5.23 |
% 19.49/5.23 +-Applying beta-rule and splitting (4238), into two cases.
% 19.49/5.23 |-Branch one:
% 19.49/5.23 | (226) all_0_18_18 = e1
% 19.49/5.23 |
% 19.49/5.23 | Equations (226) can reduce 252 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (252) ~ (all_0_18_18 = e1)
% 19.49/5.23 | (182) all_0_23_23 = e0
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (182,175) yields a new equation:
% 19.49/5.23 | (490) e2 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (490) can reduce 137 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (228) ~ (all_0_17_17 = e1)
% 19.49/5.23 | (1292) all_0_21_21 = e1
% 19.49/5.23 |
% 19.49/5.23 | Combining equations (1292,286) yields a new equation:
% 19.49/5.23 | (371) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 371 yields:
% 19.49/5.23 | (372) e1 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (372) can reduce 90 to:
% 19.49/5.23 | (172) $false
% 19.49/5.23 |
% 19.49/5.23 |-The branch is then unsatisfiable
% 19.49/5.23 |-Branch two:
% 19.49/5.23 | (179) all_0_23_23 = e1
% 19.49/5.23 | (296) all_0_22_22 = e0
% 19.49/5.23 |
% 19.49/5.23 | Equations (296) can reduce 145 to:
% 19.49/5.23 | (599) ~ (all_0_10_10 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Equations (179) can reduce 67 to:
% 19.49/5.23 | (600) ~ (all_0_11_11 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (296) can reduce 81 to:
% 19.49/5.23 | (594) ~ (all_0_14_14 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Equations (179) can reduce 46 to:
% 19.49/5.23 | (602) ~ (all_0_15_15 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (296) can reduce 101 to:
% 19.49/5.23 | (215) ~ (all_0_18_18 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Equations (179) can reduce 7 to:
% 19.49/5.23 | (310) ~ (all_0_19_19 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (296) can reduce 87 to:
% 19.49/5.23 | (186) ~ (all_0_20_20 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Equations (179) can reduce 165 to:
% 19.49/5.23 | (839) ~ (all_0_20_20 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (296) can reduce 131 to:
% 19.49/5.23 | (187) ~ (all_0_21_21 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Equations (179) can reduce 158 to:
% 19.49/5.23 | (312) ~ (all_0_21_21 = e1)
% 19.49/5.23 |
% 19.49/5.23 | Equations (296,179) can reduce 55 to:
% 19.49/5.23 | (193) ~ (e1 = e0)
% 19.49/5.23 |
% 19.49/5.23 | Simplifying 193 yields:
% 19.49/5.23 | (90) ~ (e1 = e0)
% 19.49/5.23 |
% 19.49/5.23 | From (179)(179) and (78) follows:
% 19.49/5.23 | (7316) op(e1, e1) = all_0_1_1
% 19.49/5.23 |
% 19.49/5.23 | From (179) and (2) follows:
% 19.49/5.23 | (7317) op(e0, e0) = e1
% 19.49/5.24 |
% 19.49/5.24 | Instantiating formula (143) with e1, e1, all_0_1_1, all_0_18_18 and discharging atoms op(e1, e1) = all_0_1_1, op(e1, e1) = all_0_18_18, yields:
% 19.49/5.24 | (7318) all_0_1_1 = all_0_18_18
% 19.49/5.24 |
% 19.49/5.24 | From (7318) and (29) follows:
% 19.49/5.24 | (7319) op(all_0_18_18, e0) = all_0_0_0
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (40), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (217) ~ (all_0_18_18 = e2)
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (140), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (196) ~ (all_0_8_8 = e2)
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (30), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (511) ~ (all_0_13_13 = e0)
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (95), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (195) ~ (all_0_8_8 = e1)
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (126), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (214) ~ (all_0_18_18 = e3)
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (163), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (218) all_0_18_18 = e3
% 19.49/5.24 |
% 19.49/5.24 | Equations (218) can reduce 214 to:
% 19.49/5.24 | (172) $false
% 19.49/5.24 |
% 19.49/5.24 |-The branch is then unsatisfiable
% 19.49/5.24 |-Branch two:
% 19.49/5.24 | (214) ~ (all_0_18_18 = e3)
% 19.49/5.24 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (221), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (222) all_0_18_18 = e2
% 19.49/5.24 |
% 19.49/5.24 | Equations (222) can reduce 217 to:
% 19.49/5.24 | (172) $false
% 19.49/5.24 |
% 19.49/5.24 |-The branch is then unsatisfiable
% 19.49/5.24 |-Branch two:
% 19.49/5.24 | (217) ~ (all_0_18_18 = e2)
% 19.49/5.24 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (225), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (226) all_0_18_18 = e1
% 19.49/5.24 |
% 19.49/5.24 | Equations (226) can reduce 42 to:
% 19.49/5.24 | (394) ~ (all_0_10_10 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Equations (226) can reduce 21 to:
% 19.49/5.24 | (835) ~ (all_0_14_14 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Equations (226) can reduce 214 to:
% 19.49/5.24 | (438) ~ (e3 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Simplifying 438 yields:
% 19.49/5.24 | (147) ~ (e3 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Equations (226) can reduce 217 to:
% 19.49/5.24 | (307) ~ (e2 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Simplifying 307 yields:
% 19.49/5.24 | (49) ~ (e2 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Equations (226) can reduce 215 to:
% 19.49/5.24 | (90) ~ (e1 = e0)
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (155), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (423) all_0_8_8 = e1
% 19.49/5.24 |
% 19.49/5.24 | Equations (423) can reduce 195 to:
% 19.49/5.24 | (172) $false
% 19.49/5.24 |
% 19.49/5.24 |-The branch is then unsatisfiable
% 19.49/5.24 |-Branch two:
% 19.49/5.24 | (195) ~ (all_0_8_8 = e1)
% 19.49/5.24 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (427), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (428) all_0_9_9 = e1
% 19.49/5.24 |
% 19.49/5.24 | Equations (428) can reduce 18 to:
% 19.49/5.24 | (4898) ~ (all_0_13_13 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Simplifying 4898 yields:
% 19.49/5.24 | (167) ~ (all_0_13_13 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Equations (428) can reduce 13 to:
% 19.49/5.24 | (976) ~ (all_0_17_17 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Simplifying 976 yields:
% 19.49/5.24 | (228) ~ (all_0_17_17 = e1)
% 19.49/5.24 |
% 19.49/5.24 +-Applying beta-rule and splitting (96), into two cases.
% 19.49/5.24 |-Branch one:
% 19.49/5.24 | (657) all_0_12_12 = e1
% 19.49/5.24 |
% 19.49/5.24 | Equations (657) can reduce 112 to:
% 19.49/5.24 | (4898) ~ (all_0_13_13 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Simplifying 4898 yields:
% 19.49/5.24 | (167) ~ (all_0_13_13 = e1)
% 19.49/5.24 |
% 19.49/5.24 | Equations (657) can reduce 71 to:
% 19.49/5.24 | (2493) ~ (all_0_16_16 = e1)
% 19.58/5.24 |
% 19.58/5.24 | Simplifying 2493 yields:
% 19.58/5.24 | (227) ~ (all_0_16_16 = e1)
% 19.58/5.24 |
% 19.58/5.24 | Equations (657) can reduce 41 to:
% 19.58/5.24 | (7355) ~ (all_0_20_20 = e1)
% 19.58/5.24 |
% 19.58/5.24 | Simplifying 7355 yields:
% 19.58/5.24 | (839) ~ (all_0_20_20 = e1)
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (153), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (92), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (501) all_0_12_12 = e0
% 19.58/5.24 |
% 19.58/5.24 | Combining equations (657,501) yields a new equation:
% 19.58/5.24 | (371) e1 = e0
% 19.58/5.24 |
% 19.58/5.24 | Simplifying 371 yields:
% 19.58/5.24 | (372) e1 = e0
% 19.58/5.24 |
% 19.58/5.24 | Equations (372) can reduce 90 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (505) ~ (all_0_12_12 = e0)
% 19.58/5.24 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 19.58/5.24 |
% 19.58/5.24 | Equations (657) can reduce 505 to:
% 19.58/5.24 | (90) ~ (e1 = e0)
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (25), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (336) all_0_13_13 = e3
% 19.58/5.24 |
% 19.58/5.24 | Equations (336) can reduce 216 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.24 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (1157), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (727) all_0_13_13 = e2
% 19.58/5.24 |
% 19.58/5.24 | Equations (727) can reduce 142 to:
% 19.58/5.24 | (3039) ~ (all_0_21_21 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Simplifying 3039 yields:
% 19.58/5.24 | (1811) ~ (all_0_21_21 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Equations (727) can reduce 216 to:
% 19.58/5.24 | (499) ~ (e3 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Simplifying 499 yields:
% 19.58/5.24 | (69) ~ (e3 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Equations (727) can reduce 167 to:
% 19.58/5.24 | (49) ~ (e2 = e1)
% 19.58/5.24 |
% 19.58/5.24 | Equations (727) can reduce 511 to:
% 19.58/5.24 | (137) ~ (e2 = e0)
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (132), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (687) all_0_20_20 = e2
% 19.58/5.24 |
% 19.58/5.24 | Equations (687) can reduce 75 to:
% 19.58/5.24 | (3039) ~ (all_0_21_21 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Simplifying 3039 yields:
% 19.58/5.24 | (1811) ~ (all_0_21_21 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Equations (687) can reduce 839 to:
% 19.58/5.24 | (49) ~ (e2 = e1)
% 19.58/5.24 |
% 19.58/5.24 | Equations (687) can reduce 186 to:
% 19.58/5.24 | (137) ~ (e2 = e0)
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (22), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (261) all_0_20_20 = e3
% 19.58/5.24 |
% 19.58/5.24 | Combining equations (687,261) yields a new equation:
% 19.58/5.24 | (533) e3 = e2
% 19.58/5.24 |
% 19.58/5.24 | Equations (533) can reduce 69 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (210) ~ (all_0_20_20 = e3)
% 19.58/5.24 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 19.58/5.24 |
% 19.58/5.24 | Equations (687) can reduce 210 to:
% 19.58/5.24 | (499) ~ (e3 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Simplifying 499 yields:
% 19.58/5.24 | (69) ~ (e3 = e2)
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (506), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (507) all_0_13_13 = e0
% 19.58/5.24 |
% 19.58/5.24 | Combining equations (727,507) yields a new equation:
% 19.58/5.24 | (489) e2 = e0
% 19.58/5.24 |
% 19.58/5.24 | Simplifying 489 yields:
% 19.58/5.24 | (490) e2 = e0
% 19.58/5.24 |
% 19.58/5.24 | Equations (490) can reduce 137 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.24 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 19.58/5.24 |
% 19.58/5.24 | Equations (727) can reduce 511 to:
% 19.58/5.24 | (137) ~ (e2 = e0)
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (152), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (229), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (230), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (231), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (232), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (233), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (234), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (235), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (236), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (237), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.58/5.24 |
% 19.58/5.24 +-Applying beta-rule and splitting (238), into two cases.
% 19.58/5.24 |-Branch one:
% 19.58/5.24 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Applying alpha-rule on (239) yields:
% 19.58/5.24 | (240) all_0_9_9 = e3
% 19.58/5.24 | (241) all_0_12_12 = e3
% 19.58/5.24 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Combining equations (657,241) yields a new equation:
% 19.58/5.24 | (414) e3 = e1
% 19.58/5.24 |
% 19.58/5.24 | Equations (414) can reduce 147 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.58/5.24 |
% 19.58/5.24 | Applying alpha-rule on (244) yields:
% 19.58/5.24 | (245) all_0_9_9 = e2
% 19.58/5.24 | (246) all_0_12_12 = e2
% 19.58/5.24 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.24 |
% 19.58/5.24 | Combining equations (657,246) yields a new equation:
% 19.58/5.24 | (388) e2 = e1
% 19.58/5.24 |
% 19.58/5.24 | Equations (388) can reduce 49 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.58/5.24 |
% 19.58/5.24 | Applying alpha-rule on (249) yields:
% 19.58/5.24 | (250) all_0_10_10 = e3
% 19.58/5.24 | (251) all_0_16_16 = e3
% 19.58/5.24 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.24 |
% 19.58/5.24 | Equations (226) can reduce 252 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.58/5.24 |
% 19.58/5.24 | Applying alpha-rule on (254) yields:
% 19.58/5.24 | (255) all_0_10_10 = e1
% 19.58/5.24 | (256) all_0_16_16 = e1
% 19.58/5.24 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.24 |
% 19.58/5.24 | Equations (256) can reduce 227 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.58/5.24 |
% 19.58/5.24 | Applying alpha-rule on (259) yields:
% 19.58/5.24 | (260) all_0_11_11 = e3
% 19.58/5.24 | (261) all_0_20_20 = e3
% 19.58/5.24 | (262) ~ (all_0_23_23 = e0)
% 19.58/5.24 |
% 19.58/5.24 | Combining equations (687,261) yields a new equation:
% 19.58/5.24 | (533) e3 = e2
% 19.58/5.24 |
% 19.58/5.24 | Equations (533) can reduce 69 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.58/5.24 |
% 19.58/5.24 | Applying alpha-rule on (264) yields:
% 19.58/5.24 | (265) all_0_11_11 = e0
% 19.58/5.24 | (266) all_0_20_20 = e0
% 19.58/5.24 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.24 |
% 19.58/5.24 | Combining equations (687,266) yields a new equation:
% 19.58/5.24 | (489) e2 = e0
% 19.58/5.24 |
% 19.58/5.24 | Simplifying 489 yields:
% 19.58/5.24 | (490) e2 = e0
% 19.58/5.24 |
% 19.58/5.24 | Equations (490) can reduce 137 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.58/5.24 |
% 19.58/5.24 | Applying alpha-rule on (269) yields:
% 19.58/5.24 | (270) all_0_14_14 = e2
% 19.58/5.24 | (271) all_0_17_17 = e2
% 19.58/5.24 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.24 |
% 19.58/5.24 | Equations (226) can reduce 252 to:
% 19.58/5.24 | (172) $false
% 19.58/5.24 |
% 19.58/5.24 |-The branch is then unsatisfiable
% 19.58/5.24 |-Branch two:
% 19.58/5.24 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.58/5.24 |
% 19.58/5.24 | Applying alpha-rule on (274) yields:
% 19.58/5.24 | (275) all_0_14_14 = e1
% 19.58/5.24 | (276) all_0_17_17 = e1
% 19.58/5.24 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.25 |
% 19.58/5.25 | Equations (276) can reduce 228 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.58/5.25 |
% 19.58/5.25 | Applying alpha-rule on (279) yields:
% 19.58/5.25 | (280) all_0_15_15 = e2
% 19.58/5.25 | (281) all_0_21_21 = e2
% 19.58/5.25 | (262) ~ (all_0_23_23 = e0)
% 19.58/5.25 |
% 19.58/5.25 | Equations (281) can reduce 1811 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.58/5.25 |
% 19.58/5.25 | Applying alpha-rule on (284) yields:
% 19.58/5.25 | (285) all_0_15_15 = e0
% 19.58/5.25 | (286) all_0_21_21 = e0
% 19.58/5.25 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.25 |
% 19.58/5.25 | Equations (286) can reduce 187 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.58/5.25 |
% 19.58/5.25 | Applying alpha-rule on (289) yields:
% 19.58/5.25 | (290) all_0_19_19 = e1
% 19.58/5.25 | (291) all_0_22_22 = e1
% 19.58/5.25 | (262) ~ (all_0_23_23 = e0)
% 19.58/5.25 |
% 19.58/5.25 | Combining equations (291,296) yields a new equation:
% 19.58/5.25 | (371) e1 = e0
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 371 yields:
% 19.58/5.25 | (372) e1 = e0
% 19.58/5.25 |
% 19.58/5.25 | Equations (372) can reduce 90 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Applying alpha-rule on (294) yields:
% 19.58/5.25 | (295) all_0_19_19 = e0
% 19.58/5.25 | (296) all_0_22_22 = e0
% 19.58/5.25 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (226) can reduce 252 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (668) ~ (all_0_20_20 = e2)
% 19.58/5.25 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (506), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (507) all_0_13_13 = e0
% 19.58/5.25 |
% 19.58/5.25 | Combining equations (727,507) yields a new equation:
% 19.58/5.25 | (489) e2 = e0
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 489 yields:
% 19.58/5.25 | (490) e2 = e0
% 19.58/5.25 |
% 19.58/5.25 | Equations (490) can reduce 137 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.25 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 19.58/5.25 |
% 19.58/5.25 | Equations (727) can reduce 511 to:
% 19.58/5.25 | (137) ~ (e2 = e0)
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (1798), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (281) all_0_21_21 = e2
% 19.58/5.25 |
% 19.58/5.25 | Equations (281) can reduce 1811 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (1811) ~ (all_0_21_21 = e2)
% 19.58/5.25 | (1812) all_0_22_22 = e2 | all_0_23_23 = e2
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (1812), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (725) all_0_22_22 = e2
% 19.58/5.25 |
% 19.58/5.25 | Combining equations (296,725) yields a new equation:
% 19.58/5.25 | (490) e2 = e0
% 19.58/5.25 |
% 19.58/5.25 | Equations (490) can reduce 137 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (933) ~ (all_0_22_22 = e2)
% 19.58/5.25 | (175) all_0_23_23 = e2
% 19.58/5.25 |
% 19.58/5.25 | Combining equations (179,175) yields a new equation:
% 19.58/5.25 | (388) e2 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (388) can reduce 49 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.25 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (2338), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (679) all_0_13_13 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (679) can reduce 167 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.25 | (507) all_0_13_13 = e0
% 19.58/5.25 |
% 19.58/5.25 | Equations (507) can reduce 511 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (336) all_0_13_13 = e3
% 19.58/5.25 | (246) all_0_12_12 = e2
% 19.58/5.25 |
% 19.58/5.25 | Combining equations (657,246) yields a new equation:
% 19.58/5.25 | (388) e2 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (388) can reduce 49 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (660) ~ (all_0_12_12 = e1)
% 19.58/5.25 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (661), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (679) all_0_13_13 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (679) can reduce 167 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.25 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (682), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (275) all_0_14_14 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (275) can reduce 835 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (835) ~ (all_0_14_14 = e1)
% 19.58/5.25 | (836) all_0_15_15 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (836) can reduce 602 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.25 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (431), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (255) all_0_10_10 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (255) can reduce 394 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (394) ~ (all_0_10_10 = e1)
% 19.58/5.25 | (437) all_0_11_11 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (437) can reduce 600 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.25 | (300) all_0_18_18 = e0
% 19.58/5.25 |
% 19.58/5.25 | Equations (300) can reduce 215 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (218) all_0_18_18 = e3
% 19.58/5.25 | (256) all_0_16_16 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (218) can reduce 42 to:
% 19.58/5.25 | (202) ~ (all_0_10_10 = e3)
% 19.58/5.25 |
% 19.58/5.25 | Equations (256) can reduce 71 to:
% 19.58/5.25 | (660) ~ (all_0_12_12 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (218) can reduce 21 to:
% 19.58/5.25 | (444) ~ (all_0_14_14 = e3)
% 19.58/5.25 |
% 19.58/5.25 | Equations (256) can reduce 148 to:
% 19.58/5.25 | (976) ~ (all_0_17_17 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 976 yields:
% 19.58/5.25 | (228) ~ (all_0_17_17 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (256,218) can reduce 108 to:
% 19.58/5.25 | (438) ~ (e3 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 438 yields:
% 19.58/5.25 | (147) ~ (e3 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (256) can reduce 32 to:
% 19.58/5.25 | (309) ~ (all_0_19_19 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 309 yields:
% 19.58/5.25 | (310) ~ (all_0_19_19 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (256) can reduce 151 to:
% 19.58/5.25 | (7355) ~ (all_0_20_20 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 7355 yields:
% 19.58/5.25 | (839) ~ (all_0_20_20 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (218) can reduce 123 to:
% 19.58/5.25 | (1125) ~ (all_0_19_19 = e3)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 1125 yields:
% 19.58/5.25 | (469) ~ (all_0_19_19 = e3)
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (64), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (428) all_0_9_9 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (428) can reduce 113 to:
% 19.58/5.25 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (428) can reduce 79 to:
% 19.58/5.25 | (1183) ~ (all_0_10_10 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 1183 yields:
% 19.58/5.25 | (394) ~ (all_0_10_10 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (428) can reduce 13 to:
% 19.58/5.25 | (976) ~ (all_0_17_17 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 976 yields:
% 19.58/5.25 | (228) ~ (all_0_17_17 = e1)
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (117), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (255) all_0_10_10 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (255) can reduce 394 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (394) ~ (all_0_10_10 = e1)
% 19.58/5.25 | (7548) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (11), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (672) all_0_9_9 = e0
% 19.58/5.25 |
% 19.58/5.25 | Combining equations (672,428) yields a new equation:
% 19.58/5.25 | (372) e1 = e0
% 19.58/5.25 |
% 19.58/5.25 | Equations (372) can reduce 90 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (842) ~ (all_0_9_9 = e0)
% 19.58/5.25 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (100), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (250) all_0_10_10 = e3
% 19.58/5.25 |
% 19.58/5.25 | Equations (250) can reduce 202 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (202) ~ (all_0_10_10 = e3)
% 19.58/5.25 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (398), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (403) all_0_10_10 = e2
% 19.58/5.25 |
% 19.58/5.25 | Equations (403) can reduce 59 to:
% 19.58/5.25 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (843), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (507) all_0_13_13 = e0
% 19.58/5.25 |
% 19.58/5.25 | Equations (507) can reduce 511 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.25 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (1594), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (482) all_0_17_17 = e0
% 19.58/5.25 |
% 19.58/5.25 | Equations (482) can reduce 150 to:
% 19.58/5.25 | (321) ~ (all_0_19_19 = e0)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 321 yields:
% 19.58/5.25 | (185) ~ (all_0_19_19 = e0)
% 19.58/5.25 |
% 19.58/5.25 | Equations (482) can reduce 154 to:
% 19.58/5.25 | (991) ~ (all_0_21_21 = e0)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 991 yields:
% 19.58/5.25 | (187) ~ (all_0_21_21 = e0)
% 19.58/5.25 |
% 19.58/5.25 | Equations (482) can reduce 228 to:
% 19.58/5.25 | (193) ~ (e1 = e0)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 193 yields:
% 19.58/5.25 | (90) ~ (e1 = e0)
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (7548), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (275) all_0_14_14 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (275) can reduce 12 to:
% 19.58/5.25 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (275) can reduce 444 to:
% 19.58/5.25 | (438) ~ (e3 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 438 yields:
% 19.58/5.25 | (147) ~ (e3 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (275) can reduce 594 to:
% 19.58/5.25 | (90) ~ (e1 = e0)
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (157), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (327) all_0_19_19 = e3
% 19.58/5.25 |
% 19.58/5.25 | Equations (327) can reduce 469 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (469) ~ (all_0_19_19 = e3)
% 19.58/5.25 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (470), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (471) all_0_19_19 = e2
% 19.58/5.25 |
% 19.58/5.25 | Equations (471) can reduce 115 to:
% 19.58/5.25 | (953) ~ (all_0_11_11 = e2)
% 19.58/5.25 |
% 19.58/5.25 | Equations (471) can reduce 149 to:
% 19.58/5.25 | (1585) ~ (all_0_15_15 = e2)
% 19.58/5.25 |
% 19.58/5.25 | Equations (471) can reduce 310 to:
% 19.58/5.25 | (49) ~ (e2 = e1)
% 19.58/5.25 |
% 19.58/5.25 | Equations (471) can reduce 185 to:
% 19.58/5.25 | (137) ~ (e2 = e0)
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (152), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (229), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (230), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (231), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (232), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (233), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (234), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (235), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (236), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (237), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.58/5.25 |
% 19.58/5.25 +-Applying beta-rule and splitting (238), into two cases.
% 19.58/5.25 |-Branch one:
% 19.58/5.25 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.58/5.25 |
% 19.58/5.25 | Applying alpha-rule on (239) yields:
% 19.58/5.25 | (240) all_0_9_9 = e3
% 19.58/5.25 | (241) all_0_12_12 = e3
% 19.58/5.25 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.25 |
% 19.58/5.25 | Combining equations (240,428) yields a new equation:
% 19.58/5.25 | (441) e3 = e1
% 19.58/5.25 |
% 19.58/5.25 | Simplifying 441 yields:
% 19.58/5.25 | (414) e3 = e1
% 19.58/5.25 |
% 19.58/5.25 | Equations (414) can reduce 147 to:
% 19.58/5.25 | (172) $false
% 19.58/5.25 |
% 19.58/5.25 |-The branch is then unsatisfiable
% 19.58/5.25 |-Branch two:
% 19.58/5.25 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.58/5.25 |
% 19.58/5.25 | Applying alpha-rule on (244) yields:
% 19.58/5.25 | (245) all_0_9_9 = e2
% 19.58/5.25 | (246) all_0_12_12 = e2
% 19.58/5.26 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (245,428) yields a new equation:
% 19.58/5.26 | (716) e2 = e1
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 716 yields:
% 19.58/5.26 | (388) e2 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (388) can reduce 49 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (249) yields:
% 19.58/5.26 | (250) all_0_10_10 = e3
% 19.58/5.26 | (251) all_0_16_16 = e3
% 19.58/5.26 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (403,250) yields a new equation:
% 19.58/5.26 | (533) e3 = e2
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (251,256) yields a new equation:
% 19.58/5.26 | (441) e3 = e1
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 441 yields:
% 19.58/5.26 | (414) e3 = e1
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (414,533) yields a new equation:
% 19.58/5.26 | (388) e2 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (388) can reduce 49 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (254) yields:
% 19.58/5.26 | (255) all_0_10_10 = e1
% 19.58/5.26 | (256) all_0_16_16 = e1
% 19.58/5.26 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (403,255) yields a new equation:
% 19.58/5.26 | (716) e2 = e1
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 716 yields:
% 19.58/5.26 | (388) e2 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (388) can reduce 49 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (259) yields:
% 19.58/5.26 | (260) all_0_11_11 = e3
% 19.58/5.26 | (261) all_0_20_20 = e3
% 19.58/5.26 | (262) ~ (all_0_23_23 = e0)
% 19.58/5.26 |
% 19.58/5.26 | Equations (261) can reduce 166 to:
% 19.58/5.26 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.26 |
% 19.58/5.26 | Equations (260) can reduce 953 to:
% 19.58/5.26 | (69) ~ (e3 = e2)
% 19.58/5.26 |
% 19.58/5.26 | Equations (261) can reduce 839 to:
% 19.58/5.26 | (147) ~ (e3 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Equations (179) can reduce 262 to:
% 19.58/5.26 | (90) ~ (e1 = e0)
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (51), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (198) all_0_8_8 = e3
% 19.58/5.26 |
% 19.58/5.26 | Equations (198) can reduce 247 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.26 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (4222), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (727) all_0_13_13 = e2
% 19.58/5.26 |
% 19.58/5.26 | Equations (727) can reduce 142 to:
% 19.58/5.26 | (3039) ~ (all_0_21_21 = e2)
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 3039 yields:
% 19.58/5.26 | (1811) ~ (all_0_21_21 = e2)
% 19.58/5.26 |
% 19.58/5.26 | Equations (727) can reduce 167 to:
% 19.58/5.26 | (49) ~ (e2 = e1)
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (94), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (198) all_0_8_8 = e3
% 19.58/5.26 |
% 19.58/5.26 | Equations (198) can reduce 247 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.26 | (1099) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (58), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (613) all_0_8_8 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (613) can reduce 196 to:
% 19.58/5.26 | (191) ~ (e2 = e0)
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 191 yields:
% 19.58/5.26 | (137) ~ (e2 = e0)
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (132), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (687) all_0_20_20 = e2
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (687,261) yields a new equation:
% 19.58/5.26 | (533) e3 = e2
% 19.58/5.26 |
% 19.58/5.26 | Equations (533) can reduce 69 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (668) ~ (all_0_20_20 = e2)
% 19.58/5.26 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (1798), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (281) all_0_21_21 = e2
% 19.58/5.26 |
% 19.58/5.26 | Equations (281) can reduce 1811 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (1811) ~ (all_0_21_21 = e2)
% 19.58/5.26 | (1812) all_0_22_22 = e2 | all_0_23_23 = e2
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (1812), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (725) all_0_22_22 = e2
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (296,725) yields a new equation:
% 19.58/5.26 | (490) e2 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (490) can reduce 137 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (933) ~ (all_0_22_22 = e2)
% 19.58/5.26 | (175) all_0_23_23 = e2
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (175,179) yields a new equation:
% 19.58/5.26 | (716) e2 = e1
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 716 yields:
% 19.58/5.26 | (388) e2 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (388) can reduce 49 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.26 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (1099), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (1100) all_0_8_8 = e2
% 19.58/5.26 |
% 19.58/5.26 | Equations (1100) can reduce 196 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.26 | (1103) all_0_8_8 = e1 | all_0_8_8 = e0
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (1103), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (423) all_0_8_8 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (423) can reduce 195 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.26 | (613) all_0_8_8 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (613) can reduce 197 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.26 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (4238), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (226) all_0_18_18 = e1
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (218,226) yields a new equation:
% 19.58/5.26 | (441) e3 = e1
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 441 yields:
% 19.58/5.26 | (414) e3 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (414) can reduce 147 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.26 | (182) all_0_23_23 = e0
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (179,182) yields a new equation:
% 19.58/5.26 | (371) e1 = e0
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 371 yields:
% 19.58/5.26 | (372) e1 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (372) can reduce 90 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (264) yields:
% 19.58/5.26 | (265) all_0_11_11 = e0
% 19.58/5.26 | (266) all_0_20_20 = e0
% 19.58/5.26 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.26 |
% 19.58/5.26 | Equations (266) can reduce 186 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (269) yields:
% 19.58/5.26 | (270) all_0_14_14 = e2
% 19.58/5.26 | (271) all_0_17_17 = e2
% 19.58/5.26 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (270,275) yields a new equation:
% 19.58/5.26 | (716) e2 = e1
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 716 yields:
% 19.58/5.26 | (388) e2 = e1
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (482,271) yields a new equation:
% 19.58/5.26 | (490) e2 = e0
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (388,490) yields a new equation:
% 19.58/5.26 | (371) e1 = e0
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 371 yields:
% 19.58/5.26 | (372) e1 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (372) can reduce 90 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (274) yields:
% 19.58/5.26 | (275) all_0_14_14 = e1
% 19.58/5.26 | (276) all_0_17_17 = e1
% 19.58/5.26 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (482,276) yields a new equation:
% 19.58/5.26 | (372) e1 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (372) can reduce 90 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (279) yields:
% 19.58/5.26 | (280) all_0_15_15 = e2
% 19.58/5.26 | (281) all_0_21_21 = e2
% 19.58/5.26 | (262) ~ (all_0_23_23 = e0)
% 19.58/5.26 |
% 19.58/5.26 | Equations (280) can reduce 1585 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (284) yields:
% 19.58/5.26 | (285) all_0_15_15 = e0
% 19.58/5.26 | (286) all_0_21_21 = e0
% 19.58/5.26 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.26 |
% 19.58/5.26 | Equations (286) can reduce 187 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (289) yields:
% 19.58/5.26 | (290) all_0_19_19 = e1
% 19.58/5.26 | (291) all_0_22_22 = e1
% 19.58/5.26 | (262) ~ (all_0_23_23 = e0)
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (291,296) yields a new equation:
% 19.58/5.26 | (371) e1 = e0
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 371 yields:
% 19.58/5.26 | (372) e1 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (372) can reduce 90 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Applying alpha-rule on (294) yields:
% 19.58/5.26 | (295) all_0_19_19 = e0
% 19.58/5.26 | (296) all_0_22_22 = e0
% 19.58/5.26 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (295,471) yields a new equation:
% 19.58/5.26 | (490) e2 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (490) can reduce 137 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (314) ~ (all_0_19_19 = e2)
% 19.58/5.26 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (474), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (290) all_0_19_19 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (290) can reduce 310 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (310) ~ (all_0_19_19 = e1)
% 19.58/5.26 | (295) all_0_19_19 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (295) can reduce 185 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (835) ~ (all_0_14_14 = e1)
% 19.58/5.26 | (7739) all_0_18_18 = e1 | all_0_22_22 = e1
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (7739), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (226) all_0_18_18 = e1
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (218,226) yields a new equation:
% 19.58/5.26 | (441) e3 = e1
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 441 yields:
% 19.58/5.26 | (414) e3 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (414) can reduce 147 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.26 | (291) all_0_22_22 = e1
% 19.58/5.26 |
% 19.58/5.26 | Combining equations (296,291) yields a new equation:
% 19.58/5.26 | (372) e1 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (372) can reduce 90 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (486) ~ (all_0_17_17 = e0)
% 19.58/5.26 | (286) all_0_21_21 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (286) can reduce 187 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (305) ~ (all_0_10_10 = e2)
% 19.58/5.26 | (406) all_0_10_10 = e1 | all_0_10_10 = e0
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (406), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (255) all_0_10_10 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (255) can reduce 394 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (394) ~ (all_0_10_10 = e1)
% 19.58/5.26 | (410) all_0_10_10 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (410) can reduce 599 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.26 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (96), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (657) all_0_12_12 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (657) can reduce 660 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (660) ~ (all_0_12_12 = e1)
% 19.58/5.26 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (661), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (679) all_0_13_13 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (679) can reduce 167 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.26 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (1283), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (679) all_0_13_13 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (679) can reduce 167 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.26 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (1287), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (276) all_0_17_17 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (276) can reduce 228 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (228) ~ (all_0_17_17 = e1)
% 19.58/5.26 | (1292) all_0_21_21 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (1292) can reduce 312 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (423) all_0_8_8 = e1
% 19.58/5.26 | (250) all_0_10_10 = e3
% 19.58/5.26 |
% 19.58/5.26 | Equations (423) can reduce 113 to:
% 19.58/5.26 | (2485) ~ (all_0_9_9 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 2485 yields:
% 19.58/5.26 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Equations (250) can reduce 42 to:
% 19.58/5.26 | (2567) ~ (all_0_18_18 = e3)
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 2567 yields:
% 19.58/5.26 | (214) ~ (all_0_18_18 = e3)
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (64), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (428) all_0_9_9 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (428) can reduce 304 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.26 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (1283), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (679) all_0_13_13 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (679) can reduce 167 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.26 | (1287) all_0_17_17 = e1 | all_0_21_21 = e1
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (1287), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (276) all_0_17_17 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (276) can reduce 121 to:
% 19.58/5.26 | (4195) ~ (all_0_18_18 = e1)
% 19.58/5.26 |
% 19.58/5.26 | Simplifying 4195 yields:
% 19.58/5.26 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (163), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (218) all_0_18_18 = e3
% 19.58/5.26 |
% 19.58/5.26 | Equations (218) can reduce 214 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (214) ~ (all_0_18_18 = e3)
% 19.58/5.26 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (221), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (222) all_0_18_18 = e2
% 19.58/5.26 |
% 19.58/5.26 | Equations (222) can reduce 217 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (217) ~ (all_0_18_18 = e2)
% 19.58/5.26 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 19.58/5.26 |
% 19.58/5.26 +-Applying beta-rule and splitting (225), into two cases.
% 19.58/5.26 |-Branch one:
% 19.58/5.26 | (226) all_0_18_18 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (226) can reduce 252 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.26 | (300) all_0_18_18 = e0
% 19.58/5.26 |
% 19.58/5.26 | Equations (300) can reduce 215 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (228) ~ (all_0_17_17 = e1)
% 19.58/5.26 | (1292) all_0_21_21 = e1
% 19.58/5.26 |
% 19.58/5.26 | Equations (1292) can reduce 312 to:
% 19.58/5.26 | (172) $false
% 19.58/5.26 |
% 19.58/5.26 |-The branch is then unsatisfiable
% 19.58/5.26 |-Branch two:
% 19.58/5.26 | (507) all_0_13_13 = e0
% 19.58/5.26 | (280) all_0_15_15 = e2
% 19.58/5.26 |
% 19.58/5.26 | Equations (507) can reduce 18 to:
% 19.58/5.26 | (842) ~ (all_0_9_9 = e0)
% 19.58/5.26 |
% 19.58/5.26 | Equations (280) can reduce 98 to:
% 19.58/5.26 | (953) ~ (all_0_11_11 = e2)
% 19.58/5.26 |
% 19.58/5.26 | Equations (507) can reduce 112 to:
% 19.58/5.26 | (505) ~ (all_0_12_12 = e0)
% 19.58/5.26 |
% 19.58/5.26 | Equations (280) can reduce 162 to:
% 19.58/5.26 | (711) ~ (all_0_12_12 = e2)
% 19.58/5.26 |
% 19.58/5.27 | Equations (507) can reduce 12 to:
% 19.58/5.27 | (639) ~ (all_0_14_14 = e0)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 639 yields:
% 19.58/5.27 | (594) ~ (all_0_14_14 = e0)
% 19.58/5.27 |
% 19.58/5.27 | Equations (507) can reduce 5 to:
% 19.58/5.27 | (3255) ~ (all_0_17_17 = e0)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 3255 yields:
% 19.58/5.27 | (486) ~ (all_0_17_17 = e0)
% 19.58/5.27 |
% 19.58/5.27 | Equations (280) can reduce 50 to:
% 19.58/5.27 | (498) ~ (all_0_14_14 = e2)
% 19.58/5.27 |
% 19.58/5.27 | From (507)(507) and (120) follows:
% 19.58/5.27 | (7821) op(e0, e0) = all_0_5_5
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (48), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (403) all_0_10_10 = e2
% 19.58/5.27 |
% 19.58/5.27 | Equations (403) can reduce 59 to:
% 19.58/5.27 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Equations (403) can reduce 79 to:
% 19.58/5.27 | (636) ~ (all_0_9_9 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Equations (403) can reduce 52 to:
% 19.58/5.27 | (4853) ~ (all_0_11_11 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 4853 yields:
% 19.58/5.27 | (953) ~ (all_0_11_11 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Equations (403) can reduce 65 to:
% 19.58/5.27 | (497) ~ (all_0_14_14 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 497 yields:
% 19.58/5.27 | (498) ~ (all_0_14_14 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Equations (403) can reduce 42 to:
% 19.58/5.27 | (3278) ~ (all_0_18_18 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 3278 yields:
% 19.58/5.27 | (217) ~ (all_0_18_18 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Equations (403) can reduce 599 to:
% 19.58/5.27 | (137) ~ (e2 = e0)
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (95), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (155), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (423) all_0_8_8 = e1
% 19.58/5.27 |
% 19.58/5.27 | Equations (423) can reduce 195 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.27 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (427), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (428) all_0_9_9 = e1
% 19.58/5.27 |
% 19.58/5.27 | Equations (428) can reduce 97 to:
% 19.58/5.27 | (2489) ~ (all_0_11_11 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 2489 yields:
% 19.58/5.27 | (600) ~ (all_0_11_11 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Equations (428) can reduce 13 to:
% 19.58/5.27 | (976) ~ (all_0_17_17 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 976 yields:
% 19.58/5.27 | (228) ~ (all_0_17_17 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Equations (428) can reduce 17 to:
% 19.58/5.27 | (311) ~ (all_0_21_21 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 311 yields:
% 19.58/5.27 | (312) ~ (all_0_21_21 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Equations (428) can reduce 842 to:
% 19.58/5.27 | (90) ~ (e1 = e0)
% 19.58/5.27 |
% 19.58/5.27 | Instantiating formula (143) with e0, e0, all_0_5_5, e1 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = e1, yields:
% 19.58/5.27 | (7845) all_0_5_5 = e1
% 19.58/5.27 |
% 19.58/5.27 | From (7845) and (38) follows:
% 19.58/5.27 | (7846) op(e1, e2) = all_0_4_4
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (15), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (7847) ~ (all_0_4_4 = e3)
% 19.58/5.27 |
% 19.58/5.27 | Instantiating formula (143) with e1, e2, all_0_4_4, all_0_17_17 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = all_0_17_17, yields:
% 19.58/5.27 | (7848) all_0_4_4 = all_0_17_17
% 19.58/5.27 |
% 19.58/5.27 | Equations (7848) can reduce 7847 to:
% 19.58/5.27 | (416) ~ (all_0_17_17 = e3)
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (133), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (240) all_0_9_9 = e3
% 19.58/5.27 |
% 19.58/5.27 | Combining equations (240,428) yields a new equation:
% 19.58/5.27 | (441) e3 = e1
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 441 yields:
% 19.58/5.27 | (414) e3 = e1
% 19.58/5.27 |
% 19.58/5.27 | Equations (414) can reduce 147 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (200) ~ (all_0_9_9 = e3)
% 19.58/5.27 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (319), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (336) all_0_13_13 = e3
% 19.58/5.27 |
% 19.58/5.27 | Combining equations (507,336) yields a new equation:
% 19.58/5.27 | (365) e3 = e0
% 19.58/5.27 |
% 19.58/5.27 | Equations (365) can reduce 107 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.27 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (402), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (413) all_0_17_17 = e3
% 19.58/5.27 |
% 19.58/5.27 | Equations (413) can reduce 416 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (416) ~ (all_0_17_17 = e3)
% 19.58/5.27 | (417) all_0_21_21 = e3
% 19.58/5.27 |
% 19.58/5.27 | Equations (417) can reduce 154 to:
% 19.58/5.27 | (416) ~ (all_0_17_17 = e3)
% 19.58/5.27 |
% 19.58/5.27 | Equations (417) can reduce 75 to:
% 19.58/5.27 | (210) ~ (all_0_20_20 = e3)
% 19.58/5.27 |
% 19.58/5.27 | Equations (417) can reduce 312 to:
% 19.58/5.27 | (147) ~ (e3 = e1)
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (26), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (413) all_0_17_17 = e3
% 19.58/5.27 |
% 19.58/5.27 | Equations (413) can reduce 416 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (416) ~ (all_0_17_17 = e3)
% 19.58/5.27 | (2068) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (2068), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (271) all_0_17_17 = e2
% 19.58/5.27 |
% 19.58/5.27 | Equations (271) can reduce 121 to:
% 19.58/5.27 | (3278) ~ (all_0_18_18 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 3278 yields:
% 19.58/5.27 | (217) ~ (all_0_18_18 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Equations (271) can reduce 150 to:
% 19.58/5.27 | (313) ~ (all_0_19_19 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 313 yields:
% 19.58/5.27 | (314) ~ (all_0_19_19 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Equations (271) can reduce 416 to:
% 19.58/5.27 | (499) ~ (e3 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 499 yields:
% 19.58/5.27 | (69) ~ (e3 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Equations (271) can reduce 228 to:
% 19.58/5.27 | (49) ~ (e2 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Equations (271) can reduce 486 to:
% 19.58/5.27 | (137) ~ (e2 = e0)
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (152), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (229), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (230), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (231), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (232), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (233), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (234), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (235), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (236), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (237), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.58/5.27 |
% 19.58/5.27 +-Applying beta-rule and splitting (238), into two cases.
% 19.58/5.27 |-Branch one:
% 19.58/5.27 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Applying alpha-rule on (239) yields:
% 19.58/5.27 | (240) all_0_9_9 = e3
% 19.58/5.27 | (241) all_0_12_12 = e3
% 19.58/5.27 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Combining equations (240,428) yields a new equation:
% 19.58/5.27 | (441) e3 = e1
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 441 yields:
% 19.58/5.27 | (414) e3 = e1
% 19.58/5.27 |
% 19.58/5.27 | Equations (414) can reduce 147 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.58/5.27 |
% 19.58/5.27 | Applying alpha-rule on (244) yields:
% 19.58/5.27 | (245) all_0_9_9 = e2
% 19.58/5.27 | (246) all_0_12_12 = e2
% 19.58/5.27 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.27 |
% 19.58/5.27 | Combining equations (245,428) yields a new equation:
% 19.58/5.27 | (716) e2 = e1
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 716 yields:
% 19.58/5.27 | (388) e2 = e1
% 19.58/5.27 |
% 19.58/5.27 | Equations (388) can reduce 49 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Applying alpha-rule on (249) yields:
% 19.58/5.27 | (250) all_0_10_10 = e3
% 19.58/5.27 | (251) all_0_16_16 = e3
% 19.58/5.27 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Combining equations (250,403) yields a new equation:
% 19.58/5.27 | (532) e3 = e2
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 532 yields:
% 19.58/5.27 | (533) e3 = e2
% 19.58/5.27 |
% 19.58/5.27 | Equations (533) can reduce 69 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.58/5.27 |
% 19.58/5.27 | Applying alpha-rule on (254) yields:
% 19.58/5.27 | (255) all_0_10_10 = e1
% 19.58/5.27 | (256) all_0_16_16 = e1
% 19.58/5.27 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.27 |
% 19.58/5.27 | Combining equations (255,403) yields a new equation:
% 19.58/5.27 | (388) e2 = e1
% 19.58/5.27 |
% 19.58/5.27 | Equations (388) can reduce 49 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.58/5.27 |
% 19.58/5.27 | Applying alpha-rule on (259) yields:
% 19.58/5.27 | (260) all_0_11_11 = e3
% 19.58/5.27 | (261) all_0_20_20 = e3
% 19.58/5.27 | (262) ~ (all_0_23_23 = e0)
% 19.58/5.27 |
% 19.58/5.27 | Equations (261) can reduce 210 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.58/5.27 |
% 19.58/5.27 | Applying alpha-rule on (264) yields:
% 19.58/5.27 | (265) all_0_11_11 = e0
% 19.58/5.27 | (266) all_0_20_20 = e0
% 19.58/5.27 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.27 |
% 19.58/5.27 | Equations (266) can reduce 186 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Applying alpha-rule on (269) yields:
% 19.58/5.27 | (270) all_0_14_14 = e2
% 19.58/5.27 | (271) all_0_17_17 = e2
% 19.58/5.27 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.27 |
% 19.58/5.27 | Equations (270) can reduce 498 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Applying alpha-rule on (274) yields:
% 19.58/5.27 | (275) all_0_14_14 = e1
% 19.58/5.27 | (276) all_0_17_17 = e1
% 19.58/5.27 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.27 |
% 19.58/5.27 | Combining equations (271,276) yields a new equation:
% 19.58/5.27 | (716) e2 = e1
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 716 yields:
% 19.58/5.27 | (388) e2 = e1
% 19.58/5.27 |
% 19.58/5.27 | Equations (388) can reduce 49 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.27 |-Branch two:
% 19.58/5.27 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.58/5.27 |
% 19.58/5.27 | Applying alpha-rule on (279) yields:
% 19.58/5.27 | (280) all_0_15_15 = e2
% 19.58/5.27 | (281) all_0_21_21 = e2
% 19.58/5.27 | (262) ~ (all_0_23_23 = e0)
% 19.58/5.27 |
% 19.58/5.27 | Combining equations (417,281) yields a new equation:
% 19.58/5.27 | (532) e3 = e2
% 19.58/5.27 |
% 19.58/5.27 | Simplifying 532 yields:
% 19.58/5.27 | (533) e3 = e2
% 19.58/5.27 |
% 19.58/5.27 | Equations (533) can reduce 69 to:
% 19.58/5.27 | (172) $false
% 19.58/5.27 |
% 19.58/5.27 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.58/5.28 |
% 19.58/5.28 | Applying alpha-rule on (284) yields:
% 19.58/5.28 | (285) all_0_15_15 = e0
% 19.58/5.28 | (286) all_0_21_21 = e0
% 19.58/5.28 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (280,285) yields a new equation:
% 19.58/5.28 | (489) e2 = e0
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 489 yields:
% 19.58/5.28 | (490) e2 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (490) can reduce 137 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Applying alpha-rule on (289) yields:
% 19.58/5.28 | (290) all_0_19_19 = e1
% 19.58/5.28 | (291) all_0_22_22 = e1
% 19.58/5.28 | (262) ~ (all_0_23_23 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (291,296) yields a new equation:
% 19.58/5.28 | (371) e1 = e0
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 371 yields:
% 19.58/5.28 | (372) e1 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (372) can reduce 90 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Applying alpha-rule on (294) yields:
% 19.58/5.28 | (295) all_0_19_19 = e0
% 19.58/5.28 | (296) all_0_22_22 = e0
% 19.58/5.28 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Equations (295) can reduce 115 to:
% 19.58/5.28 | (183) ~ (all_0_11_11 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Equations (295) can reduce 32 to:
% 19.58/5.28 | (480) ~ (all_0_16_16 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Equations (295) can reduce 123 to:
% 19.58/5.28 | (215) ~ (all_0_18_18 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Equations (295) can reduce 314 to:
% 19.58/5.28 | (191) ~ (e2 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 191 yields:
% 19.58/5.28 | (137) ~ (e2 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Equations (295) can reduce 310 to:
% 19.58/5.28 | (193) ~ (e1 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 193 yields:
% 19.58/5.28 | (90) ~ (e1 = e0)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (117), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (255) all_0_10_10 = e1
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (255,403) yields a new equation:
% 19.58/5.28 | (388) e2 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (388) can reduce 49 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (394) ~ (all_0_10_10 = e1)
% 19.58/5.28 | (7548) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (7548), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (275) all_0_14_14 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (275) can reduce 21 to:
% 19.58/5.28 | (4195) ~ (all_0_18_18 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 4195 yields:
% 19.58/5.28 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Equations (275) can reduce 498 to:
% 19.58/5.28 | (307) ~ (e2 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 307 yields:
% 19.58/5.28 | (49) ~ (e2 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Equations (275) can reduce 594 to:
% 19.58/5.28 | (90) ~ (e1 = e0)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (56), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (256) all_0_16_16 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (256) can reduce 104 to:
% 19.58/5.28 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Equations (256) can reduce 108 to:
% 19.58/5.28 | (4195) ~ (all_0_18_18 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 4195 yields:
% 19.58/5.28 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Equations (256) can reduce 480 to:
% 19.58/5.28 | (90) ~ (e1 = e0)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (163), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (218) all_0_18_18 = e3
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (70), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (613) all_0_8_8 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (613) can reduce 39 to:
% 19.58/5.28 | (1632) ~ (all_0_11_11 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 1632 yields:
% 19.58/5.28 | (183) ~ (all_0_11_11 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Equations (613) can reduce 196 to:
% 19.58/5.28 | (191) ~ (e2 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 191 yields:
% 19.58/5.28 | (137) ~ (e2 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Equations (613) can reduce 195 to:
% 19.58/5.28 | (193) ~ (e1 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 193 yields:
% 19.58/5.28 | (90) ~ (e1 = e0)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (124), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Equations (613) can reduce 197 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (613) all_0_8_8 = e0
% 19.58/5.28 | (260) all_0_11_11 = e3
% 19.58/5.28 |
% 19.58/5.28 | Equations (260) can reduce 600 to:
% 19.58/5.28 | (147) ~ (e3 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Equations (260) can reduce 183 to:
% 19.58/5.28 | (107) ~ (e3 = e0)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (51), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (198) all_0_8_8 = e3
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (198,613) yields a new equation:
% 19.58/5.28 | (364) e3 = e0
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 364 yields:
% 19.58/5.28 | (365) e3 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (365) can reduce 107 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.28 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (4222), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (727) all_0_13_13 = e2
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (727,507) yields a new equation:
% 19.58/5.28 | (489) e2 = e0
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 489 yields:
% 19.58/5.28 | (490) e2 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (490) can reduce 137 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.28 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (4238), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (226) all_0_18_18 = e1
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (218,226) yields a new equation:
% 19.58/5.28 | (441) e3 = e1
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 441 yields:
% 19.58/5.28 | (414) e3 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (414) can reduce 147 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.28 | (182) all_0_23_23 = e0
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (182,179) yields a new equation:
% 19.58/5.28 | (372) e1 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (372) can reduce 90 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.28 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (617), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (672) all_0_9_9 = e0
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (428,672) yields a new equation:
% 19.58/5.28 | (371) e1 = e0
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 371 yields:
% 19.58/5.28 | (372) e1 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (372) can reduce 90 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (842) ~ (all_0_9_9 = e0)
% 19.58/5.28 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (847), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (410) all_0_10_10 = e0
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (403,410) yields a new equation:
% 19.58/5.28 | (489) e2 = e0
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 489 yields:
% 19.58/5.28 | (490) e2 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (490) can reduce 137 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (599) ~ (all_0_10_10 = e0)
% 19.58/5.28 | (265) all_0_11_11 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (265) can reduce 183 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (214) ~ (all_0_18_18 = e3)
% 19.58/5.28 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (221), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (222) all_0_18_18 = e2
% 19.58/5.28 |
% 19.58/5.28 | Equations (222) can reduce 217 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (217) ~ (all_0_18_18 = e2)
% 19.58/5.28 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (225), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (226) all_0_18_18 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (226) can reduce 252 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.28 | (300) all_0_18_18 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (300) can reduce 215 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (227) ~ (all_0_16_16 = e1)
% 19.58/5.28 | (4193) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (4193), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (276) all_0_17_17 = e1
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (271,276) yields a new equation:
% 19.58/5.28 | (716) e2 = e1
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 716 yields:
% 19.58/5.28 | (388) e2 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (388) can reduce 49 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (228) ~ (all_0_17_17 = e1)
% 19.58/5.28 | (4279) all_0_18_18 = e1 | all_0_19_19 = e1
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (4279), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (226) all_0_18_18 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (226) can reduce 252 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.28 | (290) all_0_19_19 = e1
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (295,290) yields a new equation:
% 19.58/5.28 | (372) e1 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (372) can reduce 90 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (835) ~ (all_0_14_14 = e1)
% 19.58/5.28 | (7739) all_0_18_18 = e1 | all_0_22_22 = e1
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (7739), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (226) all_0_18_18 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (226) can reduce 252 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.28 | (291) all_0_22_22 = e1
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (291,296) yields a new equation:
% 19.58/5.28 | (371) e1 = e0
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 371 yields:
% 19.58/5.28 | (372) e1 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (372) can reduce 90 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (1004) ~ (all_0_17_17 = e2)
% 19.58/5.28 | (2072) all_0_17_17 = e1 | all_0_17_17 = e0
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (2072), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (276) all_0_17_17 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (276) can reduce 228 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (228) ~ (all_0_17_17 = e1)
% 19.58/5.28 | (482) all_0_17_17 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (482) can reduce 486 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (8078) all_0_4_4 = e3
% 19.58/5.28 | (8079) ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e0)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (8079), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (8080) ~ (all_0_5_5 = e1)
% 19.58/5.28 |
% 19.58/5.28 | Equations (7845) can reduce 8080 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (7845) all_0_5_5 = e1
% 19.58/5.28 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Equations (507) can reduce 511 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.28 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (64), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (428) all_0_9_9 = e1
% 19.58/5.28 |
% 19.58/5.28 | Equations (428) can reduce 304 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.28 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (61), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (240) all_0_9_9 = e3
% 19.58/5.28 |
% 19.58/5.28 | Equations (240) can reduce 113 to:
% 19.58/5.28 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.28 |
% 19.58/5.28 | Equations (240) can reduce 97 to:
% 19.58/5.28 | (203) ~ (all_0_11_11 = e3)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 203 yields:
% 19.58/5.28 | (204) ~ (all_0_11_11 = e3)
% 19.58/5.28 |
% 19.58/5.28 | Equations (240) can reduce 636 to:
% 19.58/5.28 | (69) ~ (e3 = e2)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (51), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (198) all_0_8_8 = e3
% 19.58/5.28 |
% 19.58/5.28 | Equations (198) can reduce 247 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.28 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (4222), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (727) all_0_13_13 = e2
% 19.58/5.28 |
% 19.58/5.28 | Combining equations (507,727) yields a new equation:
% 19.58/5.28 | (490) e2 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (490) can reduce 137 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.28 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.58/5.28 |
% 19.58/5.28 | Equations (507) can reduce 242 to:
% 19.58/5.28 | (191) ~ (e2 = e0)
% 19.58/5.28 |
% 19.58/5.28 | Simplifying 191 yields:
% 19.58/5.28 | (137) ~ (e2 = e0)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (124), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (119), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (260) all_0_11_11 = e3
% 19.58/5.28 |
% 19.58/5.28 | Equations (260) can reduce 204 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (204) ~ (all_0_11_11 = e3)
% 19.58/5.28 | (612) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (22), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (261) all_0_20_20 = e3
% 19.58/5.28 |
% 19.58/5.28 | Equations (261) can reduce 41 to:
% 19.58/5.28 | (206) ~ (all_0_12_12 = e3)
% 19.58/5.28 |
% 19.58/5.28 | Equations (261) can reduce 186 to:
% 19.58/5.28 | (107) ~ (e3 = e0)
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (106), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.28 | (260) all_0_11_11 = e3
% 19.58/5.28 |
% 19.58/5.28 | Equations (260) can reduce 204 to:
% 19.58/5.28 | (172) $false
% 19.58/5.28 |
% 19.58/5.28 |-The branch is then unsatisfiable
% 19.58/5.28 |-Branch two:
% 19.58/5.28 | (204) ~ (all_0_11_11 = e3)
% 19.58/5.28 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 19.58/5.28 |
% 19.58/5.28 +-Applying beta-rule and splitting (89), into two cases.
% 19.58/5.28 |-Branch one:
% 19.58/5.29 | (241) all_0_12_12 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (241) can reduce 206 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (206) ~ (all_0_12_12 = e3)
% 19.58/5.29 | (2185) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (132), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (687) all_0_20_20 = e2
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (261,687) yields a new equation:
% 19.58/5.29 | (532) e3 = e2
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 532 yields:
% 19.58/5.29 | (533) e3 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (533) can reduce 69 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (668) ~ (all_0_20_20 = e2)
% 19.58/5.29 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (261) can reduce 668 to:
% 19.58/5.29 | (69) ~ (e3 = e2)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (628), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (419) all_0_15_15 = e3
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (280,419) yields a new equation:
% 19.58/5.29 | (533) e3 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (533) can reduce 69 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (329) ~ (all_0_15_15 = e3)
% 19.58/5.29 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (280) can reduce 329 to:
% 19.58/5.29 | (499) ~ (e3 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 499 yields:
% 19.58/5.29 | (69) ~ (e3 = e2)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (144), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (241) all_0_12_12 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (241) can reduce 206 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (206) ~ (all_0_12_12 = e3)
% 19.58/5.29 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (335), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (336) all_0_13_13 = e3
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (507,336) yields a new equation:
% 19.58/5.29 | (365) e3 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (365) can reduce 107 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.29 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (2185), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (246) all_0_12_12 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (246) can reduce 711 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (711) ~ (all_0_12_12 = e2)
% 19.58/5.29 | (2189) all_0_12_12 = e1 | all_0_12_12 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (2189), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (657) all_0_12_12 = e1
% 19.58/5.29 |
% 19.58/5.29 | Equations (657) can reduce 505 to:
% 19.58/5.29 | (90) ~ (e1 = e0)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (339), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (440) all_0_14_14 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (440) can reduce 594 to:
% 19.58/5.29 | (107) ~ (e3 = e0)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (4238), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (226) all_0_18_18 = e1
% 19.58/5.29 |
% 19.58/5.29 | Equations (226) can reduce 217 to:
% 19.58/5.29 | (307) ~ (e2 = e1)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 307 yields:
% 19.58/5.29 | (49) ~ (e2 = e1)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (70), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (613) all_0_8_8 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (613) can reduce 197 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.29 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (617), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (672) all_0_9_9 = e0
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (672,240) yields a new equation:
% 19.58/5.29 | (365) e3 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (365) can reduce 107 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (842) ~ (all_0_9_9 = e0)
% 19.58/5.29 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (847), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (410) all_0_10_10 = e0
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (410,403) yields a new equation:
% 19.58/5.29 | (490) e2 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (490) can reduce 137 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (599) ~ (all_0_10_10 = e0)
% 19.58/5.29 | (265) all_0_11_11 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (265) can reduce 600 to:
% 19.58/5.29 | (193) ~ (e1 = e0)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 193 yields:
% 19.58/5.29 | (90) ~ (e1 = e0)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (431), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (255) all_0_10_10 = e1
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (255,403) yields a new equation:
% 19.58/5.29 | (388) e2 = e1
% 19.58/5.29 |
% 19.58/5.29 | Equations (388) can reduce 49 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (394) ~ (all_0_10_10 = e1)
% 19.58/5.29 | (437) all_0_11_11 = e1
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (437,265) yields a new equation:
% 19.58/5.29 | (371) e1 = e0
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 371 yields:
% 19.58/5.29 | (372) e1 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (372) can reduce 90 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.29 | (182) all_0_23_23 = e0
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (179,182) yields a new equation:
% 19.58/5.29 | (371) e1 = e0
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 371 yields:
% 19.58/5.29 | (372) e1 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (372) can reduce 90 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (444) ~ (all_0_14_14 = e3)
% 19.58/5.29 | (419) all_0_15_15 = e3
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (280,419) yields a new equation:
% 19.58/5.29 | (533) e3 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (533) can reduce 69 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (660) ~ (all_0_12_12 = e1)
% 19.58/5.29 | (501) all_0_12_12 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (501) can reduce 505 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (210) ~ (all_0_20_20 = e3)
% 19.58/5.29 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (72), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (261) all_0_20_20 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (261) can reduce 210 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (210) ~ (all_0_20_20 = e3)
% 19.58/5.29 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (686), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (687) all_0_20_20 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (687) can reduce 166 to:
% 19.58/5.29 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (612), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (635) all_0_11_11 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (635) can reduce 953 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (953) ~ (all_0_11_11 = e2)
% 19.58/5.29 | (954) all_0_11_11 = e1 | all_0_11_11 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (954), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (437) all_0_11_11 = e1
% 19.58/5.29 |
% 19.58/5.29 | Equations (437) can reduce 600 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (600) ~ (all_0_11_11 = e1)
% 19.58/5.29 | (265) all_0_11_11 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (265) can reduce 39 to:
% 19.58/5.29 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (94), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (198) all_0_8_8 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (198) can reduce 247 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.29 | (1099) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (1099), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (1100) all_0_8_8 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (1100) can reduce 196 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.29 | (1103) all_0_8_8 = e1 | all_0_8_8 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (1103), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (423) all_0_8_8 = e1
% 19.58/5.29 |
% 19.58/5.29 | Equations (423) can reduce 195 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.29 | (613) all_0_8_8 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (613) can reduce 197 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (668) ~ (all_0_20_20 = e2)
% 19.58/5.29 | (690) all_0_20_20 = e1 | all_0_20_20 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (690), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (691) all_0_20_20 = e1
% 19.58/5.29 |
% 19.58/5.29 | Equations (691) can reduce 839 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (839) ~ (all_0_20_20 = e1)
% 19.58/5.29 | (266) all_0_20_20 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (266) can reduce 186 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (613) all_0_8_8 = e0
% 19.58/5.29 | (260) all_0_11_11 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (260) can reduce 204 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (200) ~ (all_0_9_9 = e3)
% 19.58/5.29 | (4629) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (4629), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (245) all_0_9_9 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (245) can reduce 636 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (636) ~ (all_0_9_9 = e2)
% 19.58/5.29 | (5594) all_0_9_9 = e1 | all_0_9_9 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (5594), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (428) all_0_9_9 = e1
% 19.58/5.29 |
% 19.58/5.29 | Equations (428) can reduce 304 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.29 | (672) all_0_9_9 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (672) can reduce 842 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (423) all_0_8_8 = e1
% 19.58/5.29 | (250) all_0_10_10 = e3
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (250,403) yields a new equation:
% 19.58/5.29 | (532) e3 = e2
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 532 yields:
% 19.58/5.29 | (533) e3 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (533) can reduce 69 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (305) ~ (all_0_10_10 = e2)
% 19.58/5.29 | (706) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (706), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (270) all_0_14_14 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (270) can reduce 498 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (498) ~ (all_0_14_14 = e2)
% 19.58/5.29 | (720) all_0_18_18 = e2 | all_0_22_22 = e2
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (82), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (1100) all_0_8_8 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (1100) can reduce 196 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.29 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (1193), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (245) all_0_9_9 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (245) can reduce 842 to:
% 19.58/5.29 | (137) ~ (e2 = e0)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (720), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (222) all_0_18_18 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (222) can reduce 217 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (217) ~ (all_0_18_18 = e2)
% 19.58/5.29 | (725) all_0_22_22 = e2
% 19.58/5.29 |
% 19.58/5.29 | Combining equations (296,725) yields a new equation:
% 19.58/5.29 | (490) e2 = e0
% 19.58/5.29 |
% 19.58/5.29 | Equations (490) can reduce 137 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (636) ~ (all_0_9_9 = e2)
% 19.58/5.29 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (4507), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (403) all_0_10_10 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (403) can reduce 305 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (305) ~ (all_0_10_10 = e2)
% 19.58/5.29 | (635) all_0_11_11 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (635) can reduce 953 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (1100) all_0_8_8 = e2
% 19.58/5.29 | (240) all_0_9_9 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (1100) can reduce 59 to:
% 19.58/5.29 | (6034) ~ (all_0_10_10 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 6034 yields:
% 19.58/5.29 | (305) ~ (all_0_10_10 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Equations (1100) can reduce 39 to:
% 19.58/5.29 | (4853) ~ (all_0_11_11 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 4853 yields:
% 19.58/5.29 | (953) ~ (all_0_11_11 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Equations (1100) can reduce 104 to:
% 19.58/5.29 | (1606) ~ (all_0_16_16 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 1606 yields:
% 19.58/5.29 | (854) ~ (all_0_16_16 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Equations (240) can reduce 79 to:
% 19.58/5.29 | (201) ~ (all_0_10_10 = e3)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 201 yields:
% 19.58/5.29 | (202) ~ (all_0_10_10 = e3)
% 19.58/5.29 |
% 19.58/5.29 | Equations (240) can reduce 18 to:
% 19.58/5.29 | (1613) ~ (all_0_13_13 = e3)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 1613 yields:
% 19.58/5.29 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.29 |
% 19.58/5.29 | Equations (240) can reduce 13 to:
% 19.58/5.29 | (1615) ~ (all_0_17_17 = e3)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 1615 yields:
% 19.58/5.29 | (416) ~ (all_0_17_17 = e3)
% 19.58/5.29 |
% 19.58/5.29 | Equations (240) can reduce 17 to:
% 19.58/5.29 | (1617) ~ (all_0_21_21 = e3)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 1617 yields:
% 19.58/5.29 | (1618) ~ (all_0_21_21 = e3)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (134), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (417) all_0_21_21 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (417) can reduce 1618 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (1618) ~ (all_0_21_21 = e3)
% 19.58/5.29 | (4204) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (4204), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (281) all_0_21_21 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (281) can reduce 154 to:
% 19.58/5.29 | (1004) ~ (all_0_17_17 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Equations (281) can reduce 75 to:
% 19.58/5.29 | (668) ~ (all_0_20_20 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Equations (281) can reduce 1618 to:
% 19.58/5.29 | (499) ~ (e3 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Simplifying 499 yields:
% 19.58/5.29 | (69) ~ (e3 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Equations (281) can reduce 312 to:
% 19.58/5.29 | (49) ~ (e2 = e1)
% 19.58/5.29 |
% 19.58/5.29 | Equations (281) can reduce 187 to:
% 19.58/5.29 | (137) ~ (e2 = e0)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (48), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (403) all_0_10_10 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (403) can reduce 305 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (305) ~ (all_0_10_10 = e2)
% 19.58/5.29 | (706) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (22), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (261) all_0_20_20 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (261) can reduce 41 to:
% 19.58/5.29 | (206) ~ (all_0_12_12 = e3)
% 19.58/5.29 |
% 19.58/5.29 | Equations (261) can reduce 151 to:
% 19.58/5.29 | (208) ~ (all_0_16_16 = e3)
% 19.58/5.29 |
% 19.58/5.29 | Equations (261) can reduce 668 to:
% 19.58/5.29 | (69) ~ (e3 = e2)
% 19.58/5.29 |
% 19.58/5.29 | Equations (261) can reduce 186 to:
% 19.58/5.29 | (107) ~ (e3 = e0)
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (100), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (250) all_0_10_10 = e3
% 19.58/5.29 |
% 19.58/5.29 | Equations (250) can reduce 202 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (202) ~ (all_0_10_10 = e3)
% 19.58/5.29 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (398), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (403) all_0_10_10 = e2
% 19.58/5.29 |
% 19.58/5.29 | Equations (403) can reduce 305 to:
% 19.58/5.29 | (172) $false
% 19.58/5.29 |
% 19.58/5.29 |-The branch is then unsatisfiable
% 19.58/5.29 |-Branch two:
% 19.58/5.29 | (305) ~ (all_0_10_10 = e2)
% 19.58/5.29 | (406) all_0_10_10 = e1 | all_0_10_10 = e0
% 19.58/5.29 |
% 19.58/5.29 +-Applying beta-rule and splitting (706), into two cases.
% 19.58/5.29 |-Branch one:
% 19.58/5.29 | (270) all_0_14_14 = e2
% 19.58/5.29 |
% 19.58/5.30 | Equations (270) can reduce 65 to:
% 19.58/5.30 | (305) ~ (all_0_10_10 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Equations (270) can reduce 127 to:
% 19.58/5.30 | (711) ~ (all_0_12_12 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Equations (270) can reduce 12 to:
% 19.58/5.30 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Equations (270) can reduce 50 to:
% 19.58/5.30 | (2533) ~ (all_0_15_15 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 2533 yields:
% 19.58/5.30 | (1585) ~ (all_0_15_15 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Equations (270) can reduce 21 to:
% 19.58/5.30 | (3278) ~ (all_0_18_18 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 3278 yields:
% 19.58/5.30 | (217) ~ (all_0_18_18 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Equations (270) can reduce 594 to:
% 19.58/5.30 | (137) ~ (e2 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (30), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (406), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (255) all_0_10_10 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (255) can reduce 202 to:
% 19.58/5.30 | (438) ~ (e3 = e1)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 438 yields:
% 19.58/5.30 | (147) ~ (e3 = e1)
% 19.58/5.30 |
% 19.58/5.30 | Equations (255) can reduce 305 to:
% 19.58/5.30 | (307) ~ (e2 = e1)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 307 yields:
% 19.58/5.30 | (49) ~ (e2 = e1)
% 19.58/5.30 |
% 19.58/5.30 | Equations (255) can reduce 599 to:
% 19.58/5.30 | (90) ~ (e1 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (25), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (336) all_0_13_13 = e3
% 19.58/5.30 |
% 19.58/5.30 | Equations (336) can reduce 216 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.30 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (163), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (218) all_0_18_18 = e3
% 19.58/5.30 |
% 19.58/5.30 | Equations (218) can reduce 217 to:
% 19.58/5.30 | (69) ~ (e3 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Equations (218) can reduce 215 to:
% 19.58/5.30 | (107) ~ (e3 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (126), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (214) ~ (all_0_18_18 = e3)
% 19.58/5.30 |
% 19.58/5.30 | Equations (218) can reduce 214 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (218) all_0_18_18 = e3
% 19.58/5.30 | (256) all_0_16_16 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (256) can reduce 148 to:
% 19.58/5.30 | (976) ~ (all_0_17_17 = e1)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 976 yields:
% 19.58/5.30 | (228) ~ (all_0_17_17 = e1)
% 19.58/5.30 |
% 19.58/5.30 | Equations (256) can reduce 854 to:
% 19.58/5.30 | (307) ~ (e2 = e1)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 307 yields:
% 19.58/5.30 | (49) ~ (e2 = e1)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (58), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (613) all_0_8_8 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (613,1100) yields a new equation:
% 19.58/5.30 | (490) e2 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (490) can reduce 137 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.30 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (623), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (501) all_0_12_12 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (501) can reduce 112 to:
% 19.58/5.30 | (673) ~ (all_0_13_13 = e0)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 673 yields:
% 19.58/5.30 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.30 |
% 19.58/5.30 | Equations (501) can reduce 162 to:
% 19.58/5.30 | (1149) ~ (all_0_15_15 = e0)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 1149 yields:
% 19.58/5.30 | (184) ~ (all_0_15_15 = e0)
% 19.58/5.30 |
% 19.58/5.30 | Equations (501) can reduce 206 to:
% 19.58/5.30 | (189) ~ (e3 = e0)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 189 yields:
% 19.58/5.30 | (107) ~ (e3 = e0)
% 19.58/5.30 |
% 19.58/5.30 | Equations (501) can reduce 711 to:
% 19.58/5.30 | (191) ~ (e2 = e0)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 191 yields:
% 19.58/5.30 | (137) ~ (e2 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (19), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (666) all_0_16_16 = e2
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (256,666) yields a new equation:
% 19.58/5.30 | (388) e2 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (388) can reduce 49 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (854) ~ (all_0_16_16 = e2)
% 19.58/5.30 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (144), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (241) all_0_12_12 = e3
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (241,501) yields a new equation:
% 19.58/5.30 | (364) e3 = e0
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 364 yields:
% 19.58/5.30 | (365) e3 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (365) can reduce 107 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (206) ~ (all_0_12_12 = e3)
% 19.58/5.30 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (335), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (336) all_0_13_13 = e3
% 19.58/5.30 |
% 19.58/5.30 | Equations (336) can reduce 216 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.30 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (339), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (440) all_0_14_14 = e3
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (270,440) yields a new equation:
% 19.58/5.30 | (533) e3 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (533) can reduce 69 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (444) ~ (all_0_14_14 = e3)
% 19.58/5.30 | (419) all_0_15_15 = e3
% 19.58/5.30 |
% 19.58/5.30 | Equations (419) can reduce 149 to:
% 19.58/5.30 | (1125) ~ (all_0_19_19 = e3)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 1125 yields:
% 19.58/5.30 | (469) ~ (all_0_19_19 = e3)
% 19.58/5.30 |
% 19.58/5.30 | Equations (419) can reduce 1585 to:
% 19.58/5.30 | (69) ~ (e3 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Equations (419) can reduce 602 to:
% 19.58/5.30 | (147) ~ (e3 = e1)
% 19.58/5.30 |
% 19.58/5.30 | Equations (419) can reduce 184 to:
% 19.58/5.30 | (107) ~ (e3 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (1000), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (271) all_0_17_17 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (271) can reduce 1004 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (1004) ~ (all_0_17_17 = e2)
% 19.58/5.30 | (1005) all_0_18_18 = e2 | all_0_19_19 = e2
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (1005), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (222) all_0_18_18 = e2
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (218,222) yields a new equation:
% 19.58/5.30 | (532) e3 = e2
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 532 yields:
% 19.58/5.30 | (533) e3 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (533) can reduce 69 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (217) ~ (all_0_18_18 = e2)
% 19.58/5.30 | (471) all_0_19_19 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (471) can reduce 469 to:
% 19.58/5.30 | (499) ~ (e3 = e2)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 499 yields:
% 19.58/5.30 | (69) ~ (e3 = e2)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (1157), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (727) all_0_13_13 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (727) can reduce 242 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.30 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (64), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (428) all_0_9_9 = e1
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (428,240) yields a new equation:
% 19.58/5.30 | (414) e3 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (414) can reduce 147 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.30 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (240) can reduce 304 to:
% 19.58/5.30 | (147) ~ (e3 = e1)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (11), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (672) all_0_9_9 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (672,240) yields a new equation:
% 19.58/5.30 | (365) e3 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (365) can reduce 107 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (842) ~ (all_0_9_9 = e0)
% 19.58/5.30 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (843), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (507) all_0_13_13 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (507) can reduce 511 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.30 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (51), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (198) all_0_8_8 = e3
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (198,1100) yields a new equation:
% 19.58/5.30 | (532) e3 = e2
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 532 yields:
% 19.58/5.30 | (533) e3 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (533) can reduce 69 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (247) ~ (all_0_8_8 = e3)
% 19.58/5.30 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (1594), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (482) all_0_17_17 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (482) can reduce 228 to:
% 19.58/5.30 | (193) ~ (e1 = e0)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 193 yields:
% 19.58/5.30 | (90) ~ (e1 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (4222), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (727) all_0_13_13 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (727) can reduce 242 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.30 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (4238), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (226) all_0_18_18 = e1
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (218,226) yields a new equation:
% 19.58/5.30 | (441) e3 = e1
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 441 yields:
% 19.58/5.30 | (414) e3 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (414) can reduce 147 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.30 | (182) all_0_23_23 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (182,179) yields a new equation:
% 19.58/5.30 | (372) e1 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (372) can reduce 90 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (486) ~ (all_0_17_17 = e0)
% 19.58/5.30 | (286) all_0_21_21 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (281,286) yields a new equation:
% 19.58/5.30 | (489) e2 = e0
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 489 yields:
% 19.58/5.30 | (490) e2 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (490) can reduce 137 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (505) ~ (all_0_12_12 = e0)
% 19.58/5.30 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (2089), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (320) all_0_16_16 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (256,320) yields a new equation:
% 19.58/5.30 | (371) e1 = e0
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 371 yields:
% 19.58/5.30 | (372) e1 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (372) can reduce 90 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (480) ~ (all_0_16_16 = e0)
% 19.58/5.30 | (266) all_0_20_20 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (261,266) yields a new equation:
% 19.58/5.30 | (364) e3 = e0
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 364 yields:
% 19.58/5.30 | (365) e3 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (365) can reduce 107 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (214) ~ (all_0_18_18 = e3)
% 19.58/5.30 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (64), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (428) all_0_9_9 = e1
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (240,428) yields a new equation:
% 19.58/5.30 | (441) e3 = e1
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 441 yields:
% 19.58/5.30 | (414) e3 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (414) can reduce 147 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.30 | (1283) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (240) can reduce 304 to:
% 19.58/5.30 | (147) ~ (e3 = e1)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (96), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (657) all_0_12_12 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (657) can reduce 112 to:
% 19.58/5.30 | (4898) ~ (all_0_13_13 = e1)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 4898 yields:
% 19.58/5.30 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (92), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (501) all_0_12_12 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (657,501) yields a new equation:
% 19.58/5.30 | (371) e1 = e0
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 371 yields:
% 19.58/5.30 | (372) e1 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (372) can reduce 90 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (505) ~ (all_0_12_12 = e0)
% 19.58/5.30 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (657) can reduce 505 to:
% 19.58/5.30 | (90) ~ (e1 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (58), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (613) all_0_8_8 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (613,1100) yields a new equation:
% 19.58/5.30 | (490) e2 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (490) can reduce 137 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.30 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (506), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (507) all_0_13_13 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (507) can reduce 511 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.30 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (623), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (501) all_0_12_12 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (657,501) yields a new equation:
% 19.58/5.30 | (371) e1 = e0
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 371 yields:
% 19.58/5.30 | (372) e1 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (372) can reduce 90 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (505) ~ (all_0_12_12 = e0)
% 19.58/5.30 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (2089), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (320) all_0_16_16 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (320) can reduce 854 to:
% 19.58/5.30 | (191) ~ (e2 = e0)
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 191 yields:
% 19.58/5.30 | (137) ~ (e2 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (512), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (513) all_0_14_14 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (270,513) yields a new equation:
% 19.58/5.30 | (489) e2 = e0
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 489 yields:
% 19.58/5.30 | (490) e2 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (490) can reduce 137 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (594) ~ (all_0_14_14 = e0)
% 19.58/5.30 | (285) all_0_15_15 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (285) can reduce 84 to:
% 19.58/5.30 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (1157), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (727) all_0_13_13 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (727) can reduce 242 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (242) ~ (all_0_13_13 = e2)
% 19.58/5.30 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (2338), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (679) all_0_13_13 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (679) can reduce 167 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.30 | (507) all_0_13_13 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (507) can reduce 511 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (480) ~ (all_0_16_16 = e0)
% 19.58/5.30 | (266) all_0_20_20 = e0
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (261,266) yields a new equation:
% 19.58/5.30 | (364) e3 = e0
% 19.58/5.30 |
% 19.58/5.30 | Simplifying 364 yields:
% 19.58/5.30 | (365) e3 = e0
% 19.58/5.30 |
% 19.58/5.30 | Equations (365) can reduce 107 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (660) ~ (all_0_12_12 = e1)
% 19.58/5.30 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (122), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (635) all_0_11_11 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (635) can reduce 953 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (953) ~ (all_0_11_11 = e2)
% 19.58/5.30 | (2139) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (2139), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (280) all_0_15_15 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (280) can reduce 1585 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (1585) ~ (all_0_15_15 = e2)
% 19.58/5.30 | (2345) all_0_19_19 = e2 | all_0_23_23 = e2
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (2345), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (471) all_0_19_19 = e2
% 19.58/5.30 |
% 19.58/5.30 | Equations (471) can reduce 310 to:
% 19.58/5.30 | (49) ~ (e2 = e1)
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (135), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.30 | (423) all_0_8_8 = e1
% 19.58/5.30 |
% 19.58/5.30 | Combining equations (423,1100) yields a new equation:
% 19.58/5.30 | (388) e2 = e1
% 19.58/5.30 |
% 19.58/5.30 | Equations (388) can reduce 49 to:
% 19.58/5.30 | (172) $false
% 19.58/5.30 |
% 19.58/5.30 |-The branch is then unsatisfiable
% 19.58/5.30 |-Branch two:
% 19.58/5.30 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.30 | (875) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 19.58/5.30 |
% 19.58/5.30 +-Applying beta-rule and splitting (875), into two cases.
% 19.58/5.30 |-Branch one:
% 19.58/5.31 | (657) all_0_12_12 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (657) can reduce 660 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (660) ~ (all_0_12_12 = e1)
% 19.58/5.31 | (895) all_0_16_16 = e1 | all_0_20_20 = e1
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (895), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (256) all_0_16_16 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (256) can reduce 208 to:
% 19.58/5.31 | (438) ~ (e3 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 438 yields:
% 19.58/5.31 | (147) ~ (e3 = e1)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (20), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (251) all_0_16_16 = e3
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (256,251) yields a new equation:
% 19.58/5.31 | (414) e3 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (414) can reduce 147 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (208) ~ (all_0_16_16 = e3)
% 19.58/5.31 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (648), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (413) all_0_17_17 = e3
% 19.58/5.31 |
% 19.58/5.31 | Equations (413) can reduce 416 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (416) ~ (all_0_17_17 = e3)
% 19.58/5.31 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (862), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (218) all_0_18_18 = e3
% 19.58/5.31 |
% 19.58/5.31 | Equations (218) can reduce 214 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (214) ~ (all_0_18_18 = e3)
% 19.58/5.31 | (327) all_0_19_19 = e3
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (471,327) yields a new equation:
% 19.58/5.31 | (533) e3 = e2
% 19.58/5.31 |
% 19.58/5.31 | Equations (533) can reduce 69 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (227) ~ (all_0_16_16 = e1)
% 19.58/5.31 | (691) all_0_20_20 = e1
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (261,691) yields a new equation:
% 19.58/5.31 | (441) e3 = e1
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 441 yields:
% 19.58/5.31 | (414) e3 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (414) can reduce 147 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (314) ~ (all_0_19_19 = e2)
% 19.58/5.31 | (175) all_0_23_23 = e2
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (175,179) yields a new equation:
% 19.58/5.31 | (716) e2 = e1
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 716 yields:
% 19.58/5.31 | (388) e2 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (388) can reduce 49 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (394) ~ (all_0_10_10 = e1)
% 19.58/5.31 | (410) all_0_10_10 = e0
% 19.58/5.31 |
% 19.58/5.31 | Equations (410) can reduce 599 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (507) all_0_13_13 = e0
% 19.58/5.31 | (280) all_0_15_15 = e2
% 19.58/5.31 |
% 19.58/5.31 | Equations (280) can reduce 1585 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (498) ~ (all_0_14_14 = e2)
% 19.58/5.31 | (720) all_0_18_18 = e2 | all_0_22_22 = e2
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (720), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (222) all_0_18_18 = e2
% 19.58/5.31 |
% 19.58/5.31 | Equations (222) can reduce 217 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (217) ~ (all_0_18_18 = e2)
% 19.58/5.31 | (725) all_0_22_22 = e2
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (296,725) yields a new equation:
% 19.58/5.31 | (490) e2 = e0
% 19.58/5.31 |
% 19.58/5.31 | Equations (490) can reduce 137 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (210) ~ (all_0_20_20 = e3)
% 19.58/5.31 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (155), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (423) all_0_8_8 = e1
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (423,1100) yields a new equation:
% 19.58/5.31 | (388) e2 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (388) can reduce 49 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.31 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (427), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (428) all_0_9_9 = e1
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (240,428) yields a new equation:
% 19.58/5.31 | (441) e3 = e1
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 441 yields:
% 19.58/5.31 | (414) e3 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (414) can reduce 147 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.31 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (431), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (255) all_0_10_10 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (255) can reduce 42 to:
% 19.58/5.31 | (4195) ~ (all_0_18_18 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 4195 yields:
% 19.58/5.31 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (656), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (417) all_0_21_21 = e3
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (417,281) yields a new equation:
% 19.58/5.31 | (532) e3 = e2
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 532 yields:
% 19.58/5.31 | (533) e3 = e2
% 19.58/5.31 |
% 19.58/5.31 | Equations (533) can reduce 69 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (1618) ~ (all_0_21_21 = e3)
% 19.58/5.31 | (1791) all_0_22_22 = e3 | all_0_23_23 = e3
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (163), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (218) all_0_18_18 = e3
% 19.58/5.31 |
% 19.58/5.31 | Equations (218) can reduce 108 to:
% 19.58/5.31 | (208) ~ (all_0_16_16 = e3)
% 19.58/5.31 |
% 19.58/5.31 | Equations (218) can reduce 215 to:
% 19.58/5.31 | (107) ~ (e3 = e0)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (126), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (214) ~ (all_0_18_18 = e3)
% 19.58/5.31 |
% 19.58/5.31 | Equations (218) can reduce 214 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (218) all_0_18_18 = e3
% 19.58/5.31 | (256) all_0_16_16 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (256) can reduce 208 to:
% 19.58/5.31 | (438) ~ (e3 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 438 yields:
% 19.58/5.31 | (147) ~ (e3 = e1)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (1791), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (902) all_0_22_22 = e3
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (296,902) yields a new equation:
% 19.58/5.31 | (365) e3 = e0
% 19.58/5.31 |
% 19.58/5.31 | Equations (365) can reduce 107 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (881) ~ (all_0_22_22 = e3)
% 19.58/5.31 | (171) all_0_23_23 = e3
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (171,179) yields a new equation:
% 19.58/5.31 | (441) e3 = e1
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 441 yields:
% 19.58/5.31 | (414) e3 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (414) can reduce 147 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (214) ~ (all_0_18_18 = e3)
% 19.58/5.31 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (221), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (222) all_0_18_18 = e2
% 19.58/5.31 |
% 19.58/5.31 | Equations (222) can reduce 217 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (217) ~ (all_0_18_18 = e2)
% 19.58/5.31 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (225), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (226) all_0_18_18 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (226) can reduce 252 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (252) ~ (all_0_18_18 = e1)
% 19.58/5.31 | (300) all_0_18_18 = e0
% 19.58/5.31 |
% 19.58/5.31 | Equations (300) can reduce 215 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (394) ~ (all_0_10_10 = e1)
% 19.58/5.31 | (437) all_0_11_11 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (437) can reduce 600 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (1811) ~ (all_0_21_21 = e2)
% 19.58/5.31 | (4272) all_0_21_21 = e1 | all_0_21_21 = e0
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (4272), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (1292) all_0_21_21 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (1292) can reduce 312 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (312) ~ (all_0_21_21 = e1)
% 19.58/5.31 | (286) all_0_21_21 = e0
% 19.58/5.31 |
% 19.58/5.31 | Equations (286) can reduce 187 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (222) all_0_18_18 = e2
% 19.58/5.31 | (276) all_0_17_17 = e1
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (222,7318) yields a new equation:
% 19.58/5.31 | (4850) all_0_1_1 = e2
% 19.58/5.31 |
% 19.58/5.31 | Equations (276) can reduce 13 to:
% 19.58/5.31 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (222) can reduce 42 to:
% 19.58/5.31 | (305) ~ (all_0_10_10 = e2)
% 19.58/5.31 |
% 19.58/5.31 | Equations (276) can reduce 5 to:
% 19.58/5.31 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (222) can reduce 21 to:
% 19.58/5.31 | (498) ~ (all_0_14_14 = e2)
% 19.58/5.31 |
% 19.58/5.31 | Equations (276) can reduce 148 to:
% 19.58/5.31 | (227) ~ (all_0_16_16 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (222) can reduce 108 to:
% 19.58/5.31 | (854) ~ (all_0_16_16 = e2)
% 19.58/5.31 |
% 19.58/5.31 | Equations (276,222) can reduce 121 to:
% 19.58/5.31 | (307) ~ (e2 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 307 yields:
% 19.58/5.31 | (49) ~ (e2 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (276) can reduce 150 to:
% 19.58/5.31 | (309) ~ (all_0_19_19 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 309 yields:
% 19.58/5.31 | (310) ~ (all_0_19_19 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (276) can reduce 154 to:
% 19.58/5.31 | (311) ~ (all_0_21_21 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 311 yields:
% 19.58/5.31 | (312) ~ (all_0_21_21 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (222) can reduce 123 to:
% 19.58/5.31 | (313) ~ (all_0_19_19 = e2)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 313 yields:
% 19.58/5.31 | (314) ~ (all_0_19_19 = e2)
% 19.58/5.31 |
% 19.58/5.31 | Equations (222) can reduce 215 to:
% 19.58/5.31 | (137) ~ (e2 = e0)
% 19.58/5.31 |
% 19.58/5.31 | From (222) and (7319) follows:
% 19.58/5.31 | (4867) op(e2, e0) = all_0_0_0
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (114), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (8656) ~ (all_0_0_0 = e3)
% 19.58/5.31 |
% 19.58/5.31 | Instantiating formula (143) with e2, e0, all_0_0_0, all_0_15_15 and discharging atoms op(e2, e0) = all_0_0_0, op(e2, e0) = all_0_15_15, yields:
% 19.58/5.31 | (4869) all_0_0_0 = all_0_15_15
% 19.58/5.31 |
% 19.58/5.31 | Equations (4869) can reduce 8656 to:
% 19.58/5.31 | (329) ~ (all_0_15_15 = e3)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (95), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (155), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (423) all_0_8_8 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (423) can reduce 195 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.31 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (427), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (428) all_0_9_9 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (428) can reduce 304 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.31 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (135), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (423) all_0_8_8 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (423) can reduce 195 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.31 | (875) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (431), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (255) all_0_10_10 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (255) can reduce 79 to:
% 19.58/5.31 | (304) ~ (all_0_9_9 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (255) can reduce 52 to:
% 19.58/5.31 | (2489) ~ (all_0_11_11 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 2489 yields:
% 19.58/5.31 | (600) ~ (all_0_11_11 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (255) can reduce 65 to:
% 19.58/5.31 | (2191) ~ (all_0_14_14 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 2191 yields:
% 19.58/5.31 | (835) ~ (all_0_14_14 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (255) can reduce 305 to:
% 19.58/5.31 | (307) ~ (e2 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 307 yields:
% 19.58/5.31 | (49) ~ (e2 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (255) can reduce 599 to:
% 19.58/5.31 | (90) ~ (e1 = e0)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (91), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (440) all_0_14_14 = e3
% 19.58/5.31 |
% 19.58/5.31 | Equations (440) can reduce 12 to:
% 19.58/5.31 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.31 |
% 19.58/5.31 | Equations (440) can reduce 50 to:
% 19.58/5.31 | (1123) ~ (all_0_15_15 = e3)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 1123 yields:
% 19.58/5.31 | (329) ~ (all_0_15_15 = e3)
% 19.58/5.31 |
% 19.58/5.31 | Equations (440) can reduce 594 to:
% 19.58/5.31 | (107) ~ (e3 = e0)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (875), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (657) all_0_12_12 = e1
% 19.58/5.31 |
% 19.58/5.31 | Equations (657) can reduce 35 to:
% 19.58/5.31 | (195) ~ (all_0_8_8 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (657) can reduce 112 to:
% 19.58/5.31 | (4898) ~ (all_0_13_13 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 4898 yields:
% 19.58/5.31 | (167) ~ (all_0_13_13 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (657) can reduce 162 to:
% 19.58/5.31 | (1658) ~ (all_0_15_15 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 1658 yields:
% 19.58/5.31 | (602) ~ (all_0_15_15 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Equations (657) can reduce 71 to:
% 19.58/5.31 | (2493) ~ (all_0_16_16 = e1)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 2493 yields:
% 19.58/5.31 | (227) ~ (all_0_16_16 = e1)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (30), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (25), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (336) all_0_13_13 = e3
% 19.58/5.31 |
% 19.58/5.31 | Equations (336) can reduce 216 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.31 | (1157) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (11), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (672) all_0_9_9 = e0
% 19.58/5.31 |
% 19.58/5.31 | Equations (672) can reduce 113 to:
% 19.58/5.31 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.31 |
% 19.58/5.31 | Equations (672) can reduce 18 to:
% 19.58/5.31 | (673) ~ (all_0_13_13 = e0)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 673 yields:
% 19.58/5.31 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.31 |
% 19.58/5.31 | Equations (672) can reduce 17 to:
% 19.58/5.31 | (991) ~ (all_0_21_21 = e0)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 991 yields:
% 19.58/5.31 | (187) ~ (all_0_21_21 = e0)
% 19.58/5.31 |
% 19.58/5.31 | Equations (672) can reduce 304 to:
% 19.58/5.31 | (193) ~ (e1 = e0)
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 193 yields:
% 19.58/5.31 | (90) ~ (e1 = e0)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (140), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (82), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (1100) all_0_8_8 = e2
% 19.58/5.31 |
% 19.58/5.31 | Equations (1100) can reduce 196 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.31 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (1193), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (245) all_0_9_9 = e2
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (245,672) yields a new equation:
% 19.58/5.31 | (489) e2 = e0
% 19.58/5.31 |
% 19.58/5.31 | Simplifying 489 yields:
% 19.58/5.31 | (490) e2 = e0
% 19.58/5.31 |
% 19.58/5.31 | Equations (490) can reduce 137 to:
% 19.58/5.31 | (172) $false
% 19.58/5.31 |
% 19.58/5.31 |-The branch is then unsatisfiable
% 19.58/5.31 |-Branch two:
% 19.58/5.31 | (636) ~ (all_0_9_9 = e2)
% 19.58/5.31 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 19.58/5.31 |
% 19.58/5.31 +-Applying beta-rule and splitting (4507), into two cases.
% 19.58/5.31 |-Branch one:
% 19.58/5.31 | (403) all_0_10_10 = e2
% 19.58/5.31 |
% 19.58/5.31 | Combining equations (255,403) yields a new equation:
% 19.58/5.31 | (388) e2 = e1
% 19.58/5.31 |
% 19.58/5.32 | Equations (388) can reduce 49 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (305) ~ (all_0_10_10 = e2)
% 19.58/5.32 | (635) all_0_11_11 = e2
% 19.58/5.32 |
% 19.58/5.32 | Equations (635) can reduce 39 to:
% 19.58/5.32 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Equations (635) can reduce 115 to:
% 19.58/5.32 | (313) ~ (all_0_19_19 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 313 yields:
% 19.58/5.32 | (314) ~ (all_0_19_19 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Equations (635) can reduce 600 to:
% 19.58/5.32 | (49) ~ (e2 = e1)
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (92), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (501) all_0_12_12 = e0
% 19.58/5.32 |
% 19.58/5.32 | Combining equations (657,501) yields a new equation:
% 19.58/5.32 | (371) e1 = e0
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 371 yields:
% 19.58/5.32 | (372) e1 = e0
% 19.58/5.32 |
% 19.58/5.32 | Equations (372) can reduce 90 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (505) ~ (all_0_12_12 = e0)
% 19.58/5.32 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (99), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (1100) all_0_8_8 = e2
% 19.58/5.32 |
% 19.58/5.32 | Equations (1100) can reduce 196 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (196) ~ (all_0_8_8 = e2)
% 19.58/5.32 | (3271) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (3271), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (246) all_0_12_12 = e2
% 19.58/5.32 |
% 19.58/5.32 | Combining equations (657,246) yields a new equation:
% 19.58/5.32 | (388) e2 = e1
% 19.58/5.32 |
% 19.58/5.32 | Equations (388) can reduce 49 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (711) ~ (all_0_12_12 = e2)
% 19.58/5.32 | (3275) all_0_16_16 = e2 | all_0_20_20 = e2
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (3275), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (666) all_0_16_16 = e2
% 19.58/5.32 |
% 19.58/5.32 | Equations (666) can reduce 854 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (854) ~ (all_0_16_16 = e2)
% 19.58/5.32 | (687) all_0_20_20 = e2
% 19.58/5.32 |
% 19.58/5.32 | Equations (687) can reduce 151 to:
% 19.58/5.32 | (854) ~ (all_0_16_16 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Equations (687) can reduce 75 to:
% 19.58/5.32 | (3039) ~ (all_0_21_21 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 3039 yields:
% 19.58/5.32 | (1811) ~ (all_0_21_21 = e2)
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (134), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (417) all_0_21_21 = e3
% 19.58/5.32 |
% 19.58/5.32 | Equations (417) can reduce 142 to:
% 19.58/5.32 | (216) ~ (all_0_13_13 = e3)
% 19.58/5.32 |
% 19.58/5.32 | Equations (417) can reduce 1811 to:
% 19.58/5.32 | (69) ~ (e3 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Equations (417) can reduce 312 to:
% 19.58/5.32 | (147) ~ (e3 = e1)
% 19.58/5.32 |
% 19.58/5.32 | Equations (417) can reduce 187 to:
% 19.58/5.32 | (107) ~ (e3 = e0)
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (58), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (613) all_0_8_8 = e0
% 19.58/5.32 |
% 19.58/5.32 | Equations (613) can reduce 197 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (197) ~ (all_0_8_8 = e0)
% 19.58/5.32 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (159), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (198) all_0_8_8 = e3
% 19.58/5.32 |
% 19.58/5.32 | Equations (198) can reduce 104 to:
% 19.58/5.32 | (207) ~ (all_0_16_16 = e3)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 207 yields:
% 19.58/5.32 | (208) ~ (all_0_16_16 = e3)
% 19.58/5.32 |
% 19.58/5.32 | Equations (198) can reduce 195 to:
% 19.58/5.32 | (147) ~ (e3 = e1)
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (506), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (507) all_0_13_13 = e0
% 19.58/5.32 |
% 19.58/5.32 | Equations (507) can reduce 511 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (511) ~ (all_0_13_13 = e0)
% 19.58/5.32 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (28), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (419) all_0_15_15 = e3
% 19.58/5.32 |
% 19.58/5.32 | Equations (419) can reduce 329 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (329) ~ (all_0_15_15 = e3)
% 19.58/5.32 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (1157), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (727) all_0_13_13 = e2
% 19.58/5.32 |
% 19.58/5.32 | Equations (727) can reduce 84 to:
% 19.58/5.32 | (2533) ~ (all_0_15_15 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 2533 yields:
% 19.58/5.32 | (1585) ~ (all_0_15_15 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Equations (727) can reduce 216 to:
% 19.58/5.32 | (499) ~ (e3 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 499 yields:
% 19.58/5.32 | (69) ~ (e3 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Equations (727) can reduce 167 to:
% 19.58/5.32 | (49) ~ (e2 = e1)
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (422), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (280) all_0_15_15 = e2
% 19.58/5.32 |
% 19.58/5.32 | Equations (280) can reduce 1585 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (1585) ~ (all_0_15_15 = e2)
% 19.58/5.32 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (1586), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (836) all_0_15_15 = e1
% 19.58/5.32 |
% 19.58/5.32 | Equations (836) can reduce 602 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (602) ~ (all_0_15_15 = e1)
% 19.58/5.32 | (285) all_0_15_15 = e0
% 19.58/5.32 |
% 19.58/5.32 | Equations (285) can reduce 1585 to:
% 19.58/5.32 | (191) ~ (e2 = e0)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 191 yields:
% 19.58/5.32 | (137) ~ (e2 = e0)
% 19.58/5.32 |
% 19.58/5.32 | Equations (285) can reduce 602 to:
% 19.58/5.32 | (193) ~ (e1 = e0)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 193 yields:
% 19.58/5.32 | (90) ~ (e1 = e0)
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (20), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (251) all_0_16_16 = e3
% 19.58/5.32 |
% 19.58/5.32 | Equations (251) can reduce 208 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (208) ~ (all_0_16_16 = e3)
% 19.58/5.32 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (54), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (320) all_0_16_16 = e0
% 19.58/5.32 |
% 19.58/5.32 | Equations (320) can reduce 32 to:
% 19.58/5.32 | (321) ~ (all_0_19_19 = e0)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 321 yields:
% 19.58/5.32 | (185) ~ (all_0_19_19 = e0)
% 19.58/5.32 |
% 19.58/5.32 | Equations (320) can reduce 854 to:
% 19.58/5.32 | (191) ~ (e2 = e0)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 191 yields:
% 19.58/5.32 | (137) ~ (e2 = e0)
% 19.58/5.32 |
% 19.58/5.32 | Equations (320) can reduce 227 to:
% 19.58/5.32 | (193) ~ (e1 = e0)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 193 yields:
% 19.58/5.32 | (90) ~ (e1 = e0)
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (106), into two cases.
% 19.58/5.32 |-Branch one:
% 19.58/5.32 | (260) all_0_11_11 = e3
% 19.58/5.32 |
% 19.58/5.32 | Combining equations (635,260) yields a new equation:
% 19.58/5.32 | (533) e3 = e2
% 19.58/5.32 |
% 19.58/5.32 | Equations (533) can reduce 69 to:
% 19.58/5.32 | (172) $false
% 19.58/5.32 |
% 19.58/5.32 |-The branch is then unsatisfiable
% 19.58/5.32 |-Branch two:
% 19.58/5.32 | (204) ~ (all_0_11_11 = e3)
% 19.58/5.32 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 19.58/5.32 |
% 19.58/5.32 | Equations (635) can reduce 204 to:
% 19.58/5.32 | (499) ~ (e3 = e2)
% 19.58/5.32 |
% 19.58/5.32 | Simplifying 499 yields:
% 19.58/5.32 | (69) ~ (e3 = e2)
% 19.58/5.32 |
% 19.58/5.32 +-Applying beta-rule and splitting (157), into two cases.
% 19.58/5.32 |-Branch one:
% 19.91/5.32 | (327) all_0_19_19 = e3
% 19.91/5.32 |
% 19.91/5.32 | Equations (327) can reduce 314 to:
% 19.91/5.32 | (69) ~ (e3 = e2)
% 19.91/5.32 |
% 19.91/5.32 | Equations (327) can reduce 310 to:
% 19.91/5.32 | (147) ~ (e3 = e1)
% 19.91/5.32 |
% 19.91/5.32 | Equations (327) can reduce 185 to:
% 19.91/5.32 | (107) ~ (e3 = e0)
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (152), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (229), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (230), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (231), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (232), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (233), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (234), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (235), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (236), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (237), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.91/5.32 |
% 19.91/5.32 +-Applying beta-rule and splitting (238), into two cases.
% 19.91/5.32 |-Branch one:
% 19.91/5.32 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.91/5.32 |
% 19.91/5.32 | Applying alpha-rule on (239) yields:
% 19.91/5.32 | (240) all_0_9_9 = e3
% 19.91/5.32 | (241) all_0_12_12 = e3
% 19.91/5.32 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (672,240) yields a new equation:
% 19.91/5.32 | (365) e3 = e0
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (657,241) yields a new equation:
% 19.91/5.32 | (414) e3 = e1
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (414,365) yields a new equation:
% 19.91/5.32 | (371) e1 = e0
% 19.91/5.32 |
% 19.91/5.32 | Simplifying 371 yields:
% 19.91/5.32 | (372) e1 = e0
% 19.91/5.32 |
% 19.91/5.32 | Equations (372) can reduce 90 to:
% 19.91/5.32 | (172) $false
% 19.91/5.32 |
% 19.91/5.32 |-The branch is then unsatisfiable
% 19.91/5.32 |-Branch two:
% 19.91/5.32 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.91/5.32 |
% 19.91/5.32 | Applying alpha-rule on (244) yields:
% 19.91/5.32 | (245) all_0_9_9 = e2
% 19.91/5.32 | (246) all_0_12_12 = e2
% 19.91/5.32 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (672,245) yields a new equation:
% 19.91/5.32 | (490) e2 = e0
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (657,246) yields a new equation:
% 19.91/5.32 | (388) e2 = e1
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (388,490) yields a new equation:
% 19.91/5.32 | (371) e1 = e0
% 19.91/5.32 |
% 19.91/5.32 | Simplifying 371 yields:
% 19.91/5.32 | (372) e1 = e0
% 19.91/5.32 |
% 19.91/5.32 | Equations (372) can reduce 90 to:
% 19.91/5.32 | (172) $false
% 19.91/5.32 |
% 19.91/5.32 |-The branch is then unsatisfiable
% 19.91/5.32 |-Branch two:
% 19.91/5.32 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.91/5.32 |
% 19.91/5.32 | Applying alpha-rule on (249) yields:
% 19.91/5.32 | (250) all_0_10_10 = e3
% 19.91/5.32 | (251) all_0_16_16 = e3
% 19.91/5.32 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (250,255) yields a new equation:
% 19.91/5.32 | (441) e3 = e1
% 19.91/5.32 |
% 19.91/5.32 | Simplifying 441 yields:
% 19.91/5.32 | (414) e3 = e1
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (251,320) yields a new equation:
% 19.91/5.32 | (364) e3 = e0
% 19.91/5.32 |
% 19.91/5.32 | Simplifying 364 yields:
% 19.91/5.32 | (365) e3 = e0
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (414,365) yields a new equation:
% 19.91/5.32 | (371) e1 = e0
% 19.91/5.32 |
% 19.91/5.32 | Simplifying 371 yields:
% 19.91/5.32 | (372) e1 = e0
% 19.91/5.32 |
% 19.91/5.32 | Equations (372) can reduce 90 to:
% 19.91/5.32 | (172) $false
% 19.91/5.32 |
% 19.91/5.32 |-The branch is then unsatisfiable
% 19.91/5.32 |-Branch two:
% 19.91/5.32 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.91/5.32 |
% 19.91/5.32 | Applying alpha-rule on (254) yields:
% 19.91/5.32 | (255) all_0_10_10 = e1
% 19.91/5.32 | (256) all_0_16_16 = e1
% 19.91/5.32 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (256,320) yields a new equation:
% 19.91/5.32 | (371) e1 = e0
% 19.91/5.32 |
% 19.91/5.32 | Simplifying 371 yields:
% 19.91/5.32 | (372) e1 = e0
% 19.91/5.32 |
% 19.91/5.32 | Equations (372) can reduce 90 to:
% 19.91/5.32 | (172) $false
% 19.91/5.32 |
% 19.91/5.32 |-The branch is then unsatisfiable
% 19.91/5.32 |-Branch two:
% 19.91/5.32 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.91/5.32 |
% 19.91/5.32 | Applying alpha-rule on (259) yields:
% 19.91/5.32 | (260) all_0_11_11 = e3
% 19.91/5.32 | (261) all_0_20_20 = e3
% 19.91/5.32 | (262) ~ (all_0_23_23 = e0)
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (687,261) yields a new equation:
% 19.91/5.32 | (533) e3 = e2
% 19.91/5.32 |
% 19.91/5.32 | Equations (533) can reduce 69 to:
% 19.91/5.32 | (172) $false
% 19.91/5.32 |
% 19.91/5.32 |-The branch is then unsatisfiable
% 19.91/5.32 |-Branch two:
% 19.91/5.32 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.91/5.32 |
% 19.91/5.32 | Applying alpha-rule on (264) yields:
% 19.91/5.32 | (265) all_0_11_11 = e0
% 19.91/5.32 | (266) all_0_20_20 = e0
% 19.91/5.32 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (687,266) yields a new equation:
% 19.91/5.32 | (489) e2 = e0
% 19.91/5.32 |
% 19.91/5.32 | Simplifying 489 yields:
% 19.91/5.32 | (490) e2 = e0
% 19.91/5.32 |
% 19.91/5.32 | Equations (490) can reduce 137 to:
% 19.91/5.32 | (172) $false
% 19.91/5.32 |
% 19.91/5.32 |-The branch is then unsatisfiable
% 19.91/5.32 |-Branch two:
% 19.91/5.32 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.91/5.32 |
% 19.91/5.32 | Applying alpha-rule on (269) yields:
% 19.91/5.32 | (270) all_0_14_14 = e2
% 19.91/5.32 | (271) all_0_17_17 = e2
% 19.91/5.32 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (276,271) yields a new equation:
% 19.91/5.32 | (388) e2 = e1
% 19.91/5.32 |
% 19.91/5.32 | Equations (388) can reduce 49 to:
% 19.91/5.32 | (172) $false
% 19.91/5.32 |
% 19.91/5.32 |-The branch is then unsatisfiable
% 19.91/5.32 |-Branch two:
% 19.91/5.32 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.91/5.32 |
% 19.91/5.32 | Applying alpha-rule on (274) yields:
% 19.91/5.32 | (275) all_0_14_14 = e1
% 19.91/5.32 | (276) all_0_17_17 = e1
% 19.91/5.32 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.32 |
% 19.91/5.32 | Combining equations (275,440) yields a new equation:
% 19.91/5.32 | (414) e3 = e1
% 19.91/5.32 |
% 19.91/5.32 | Equations (414) can reduce 147 to:
% 19.91/5.32 | (172) $false
% 19.91/5.32 |
% 19.91/5.32 |-The branch is then unsatisfiable
% 19.91/5.32 |-Branch two:
% 19.91/5.32 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.91/5.32 |
% 19.91/5.32 | Applying alpha-rule on (279) yields:
% 19.91/5.32 | (280) all_0_15_15 = e2
% 19.91/5.32 | (281) all_0_21_21 = e2
% 19.91/5.33 | (262) ~ (all_0_23_23 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (280,285) yields a new equation:
% 19.91/5.33 | (489) e2 = e0
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 489 yields:
% 19.91/5.33 | (490) e2 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (490) can reduce 137 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.91/5.33 |
% 19.91/5.33 | Applying alpha-rule on (284) yields:
% 19.91/5.33 | (285) all_0_15_15 = e0
% 19.91/5.33 | (286) all_0_21_21 = e0
% 19.91/5.33 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (417,286) yields a new equation:
% 19.91/5.33 | (364) e3 = e0
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 364 yields:
% 19.91/5.33 | (365) e3 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (365) can reduce 107 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Applying alpha-rule on (289) yields:
% 19.91/5.33 | (290) all_0_19_19 = e1
% 19.91/5.33 | (291) all_0_22_22 = e1
% 19.91/5.33 | (262) ~ (all_0_23_23 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (296,291) yields a new equation:
% 19.91/5.33 | (372) e1 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (372) can reduce 90 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.91/5.33 |
% 19.91/5.33 | Applying alpha-rule on (294) yields:
% 19.91/5.33 | (295) all_0_19_19 = e0
% 19.91/5.33 | (296) all_0_22_22 = e0
% 19.91/5.33 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (295,327) yields a new equation:
% 19.91/5.33 | (365) e3 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (365) can reduce 107 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (469) ~ (all_0_19_19 = e3)
% 19.91/5.33 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (648), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (413) all_0_17_17 = e3
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (413,276) yields a new equation:
% 19.91/5.33 | (441) e3 = e1
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 441 yields:
% 19.91/5.33 | (414) e3 = e1
% 19.91/5.33 |
% 19.91/5.33 | Equations (414) can reduce 147 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (416) ~ (all_0_17_17 = e3)
% 19.91/5.33 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (862), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (218) all_0_18_18 = e3
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (222,218) yields a new equation:
% 19.91/5.33 | (533) e3 = e2
% 19.91/5.33 |
% 19.91/5.33 | Equations (533) can reduce 69 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (214) ~ (all_0_18_18 = e3)
% 19.91/5.33 | (327) all_0_19_19 = e3
% 19.91/5.33 |
% 19.91/5.33 | Equations (327) can reduce 469 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (480) ~ (all_0_16_16 = e0)
% 19.91/5.33 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (623), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (501) all_0_12_12 = e0
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (657,501) yields a new equation:
% 19.91/5.33 | (371) e1 = e0
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 371 yields:
% 19.91/5.33 | (372) e1 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (372) can reduce 90 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (505) ~ (all_0_12_12 = e0)
% 19.91/5.33 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (2089), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (320) all_0_16_16 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (320) can reduce 480 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (480) ~ (all_0_16_16 = e0)
% 19.91/5.33 | (266) all_0_20_20 = e0
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (687,266) yields a new equation:
% 19.91/5.33 | (489) e2 = e0
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 489 yields:
% 19.91/5.33 | (490) e2 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (490) can reduce 137 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.33 | (2338) all_0_13_13 = e1 | all_0_13_13 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (2338), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (679) all_0_13_13 = e1
% 19.91/5.33 |
% 19.91/5.33 | Equations (679) can reduce 167 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (167) ~ (all_0_13_13 = e1)
% 19.91/5.33 | (507) all_0_13_13 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (507) can reduce 511 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.33 | (8944) all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (8944), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (240) all_0_9_9 = e3
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (240,672) yields a new equation:
% 19.91/5.33 | (364) e3 = e0
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 364 yields:
% 19.91/5.33 | (365) e3 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (365) can reduce 107 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (200) ~ (all_0_9_9 = e3)
% 19.91/5.33 | (8950) all_0_10_10 = e3 | all_0_11_11 = e3
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (8950), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (250) all_0_10_10 = e3
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (250,255) yields a new equation:
% 19.91/5.33 | (441) e3 = e1
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 441 yields:
% 19.91/5.33 | (414) e3 = e1
% 19.91/5.33 |
% 19.91/5.33 | Equations (414) can reduce 147 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (202) ~ (all_0_10_10 = e3)
% 19.91/5.33 | (260) all_0_11_11 = e3
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (260,635) yields a new equation:
% 19.91/5.33 | (532) e3 = e2
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 532 yields:
% 19.91/5.33 | (533) e3 = e2
% 19.91/5.33 |
% 19.91/5.33 | Equations (533) can reduce 69 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (1618) ~ (all_0_21_21 = e3)
% 19.91/5.33 | (4204) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (4204), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (281) all_0_21_21 = e2
% 19.91/5.33 |
% 19.91/5.33 | Equations (281) can reduce 1811 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (1811) ~ (all_0_21_21 = e2)
% 19.91/5.33 | (4272) all_0_21_21 = e1 | all_0_21_21 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (4272), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (1292) all_0_21_21 = e1
% 19.91/5.33 |
% 19.91/5.33 | Equations (1292) can reduce 312 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (312) ~ (all_0_21_21 = e1)
% 19.91/5.33 | (286) all_0_21_21 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (286) can reduce 187 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (1100) all_0_8_8 = e2
% 19.91/5.33 | (240) all_0_9_9 = e3
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (672,240) yields a new equation:
% 19.91/5.33 | (365) e3 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (365) can reduce 107 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (842) ~ (all_0_9_9 = e0)
% 19.91/5.33 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (843), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (507) all_0_13_13 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (507) can reduce 511 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (511) ~ (all_0_13_13 = e0)
% 19.91/5.33 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (92), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (501) all_0_12_12 = e0
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (657,501) yields a new equation:
% 19.91/5.33 | (371) e1 = e0
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 371 yields:
% 19.91/5.33 | (372) e1 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (372) can reduce 90 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (505) ~ (all_0_12_12 = e0)
% 19.91/5.33 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (657) can reduce 505 to:
% 19.91/5.33 | (90) ~ (e1 = e0)
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (1594), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (482) all_0_17_17 = e0
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (276,482) yields a new equation:
% 19.91/5.33 | (371) e1 = e0
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 371 yields:
% 19.91/5.33 | (372) e1 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (372) can reduce 90 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (486) ~ (all_0_17_17 = e0)
% 19.91/5.33 | (286) all_0_21_21 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (286) can reduce 187 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (507) all_0_13_13 = e0
% 19.91/5.33 | (280) all_0_15_15 = e2
% 19.91/5.33 |
% 19.91/5.33 | Equations (507) can reduce 18 to:
% 19.91/5.33 | (842) ~ (all_0_9_9 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Equations (507,280) can reduce 84 to:
% 19.91/5.33 | (191) ~ (e2 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 191 yields:
% 19.91/5.33 | (137) ~ (e2 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Equations (507) can reduce 142 to:
% 19.91/5.33 | (991) ~ (all_0_21_21 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 991 yields:
% 19.91/5.33 | (187) ~ (all_0_21_21 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Equations (507) can reduce 216 to:
% 19.91/5.33 | (189) ~ (e3 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 189 yields:
% 19.91/5.33 | (107) ~ (e3 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Equations (507) can reduce 167 to:
% 19.91/5.33 | (193) ~ (e1 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 193 yields:
% 19.91/5.33 | (90) ~ (e1 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Equations (280) can reduce 602 to:
% 19.91/5.33 | (49) ~ (e2 = e1)
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (51), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (198) all_0_8_8 = e3
% 19.91/5.33 |
% 19.91/5.33 | Equations (198) can reduce 113 to:
% 19.91/5.33 | (199) ~ (all_0_9_9 = e3)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 199 yields:
% 19.91/5.33 | (200) ~ (all_0_9_9 = e3)
% 19.91/5.33 |
% 19.91/5.33 | Equations (198) can reduce 104 to:
% 19.91/5.33 | (207) ~ (all_0_16_16 = e3)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 207 yields:
% 19.91/5.33 | (208) ~ (all_0_16_16 = e3)
% 19.91/5.33 |
% 19.91/5.33 | Equations (198) can reduce 195 to:
% 19.91/5.33 | (147) ~ (e3 = e1)
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (70), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (613) all_0_8_8 = e0
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (613,198) yields a new equation:
% 19.91/5.33 | (365) e3 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (365) can reduce 107 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (197) ~ (all_0_8_8 = e0)
% 19.91/5.33 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (198) can reduce 197 to:
% 19.91/5.33 | (107) ~ (e3 = e0)
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (58), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (613) all_0_8_8 = e0
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (613,198) yields a new equation:
% 19.91/5.33 | (365) e3 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (365) can reduce 107 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (197) ~ (all_0_8_8 = e0)
% 19.91/5.33 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (617), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (672) all_0_9_9 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (672) can reduce 842 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (842) ~ (all_0_9_9 = e0)
% 19.91/5.33 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (847), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (410) all_0_10_10 = e0
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (410,255) yields a new equation:
% 19.91/5.33 | (372) e1 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (372) can reduce 90 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (599) ~ (all_0_10_10 = e0)
% 19.91/5.33 | (265) all_0_11_11 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (265) can reduce 97 to:
% 19.91/5.33 | (842) ~ (all_0_9_9 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Equations (265) can reduce 600 to:
% 19.91/5.33 | (193) ~ (e1 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 193 yields:
% 19.91/5.33 | (90) ~ (e1 = e0)
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (623), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (501) all_0_12_12 = e0
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (501,657) yields a new equation:
% 19.91/5.33 | (372) e1 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (372) can reduce 90 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (505) ~ (all_0_12_12 = e0)
% 19.91/5.33 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (2089), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (320) all_0_16_16 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (320) can reduce 32 to:
% 19.91/5.33 | (321) ~ (all_0_19_19 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 321 yields:
% 19.91/5.33 | (185) ~ (all_0_19_19 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Equations (320) can reduce 151 to:
% 19.91/5.33 | (323) ~ (all_0_20_20 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 323 yields:
% 19.91/5.33 | (186) ~ (all_0_20_20 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Equations (320) can reduce 208 to:
% 19.91/5.33 | (189) ~ (e3 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 189 yields:
% 19.91/5.33 | (107) ~ (e3 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Equations (320) can reduce 227 to:
% 19.91/5.33 | (193) ~ (e1 = e0)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 193 yields:
% 19.91/5.33 | (90) ~ (e1 = e0)
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (133), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (240) all_0_9_9 = e3
% 19.91/5.33 |
% 19.91/5.33 | Equations (240) can reduce 200 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (200) ~ (all_0_9_9 = e3)
% 19.91/5.33 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (61), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (240) all_0_9_9 = e3
% 19.91/5.33 |
% 19.91/5.33 | Equations (240) can reduce 200 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (200) ~ (all_0_9_9 = e3)
% 19.91/5.33 | (4629) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (20), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (251) all_0_16_16 = e3
% 19.91/5.33 |
% 19.91/5.33 | Combining equations (320,251) yields a new equation:
% 19.91/5.33 | (365) e3 = e0
% 19.91/5.33 |
% 19.91/5.33 | Equations (365) can reduce 107 to:
% 19.91/5.33 | (172) $false
% 19.91/5.33 |
% 19.91/5.33 |-The branch is then unsatisfiable
% 19.91/5.33 |-Branch two:
% 19.91/5.33 | (208) ~ (all_0_16_16 = e3)
% 19.91/5.33 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (4629), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (245) all_0_9_9 = e2
% 19.91/5.33 |
% 19.91/5.33 | Equations (245) can reduce 17 to:
% 19.91/5.33 | (3039) ~ (all_0_21_21 = e2)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 3039 yields:
% 19.91/5.33 | (1811) ~ (all_0_21_21 = e2)
% 19.91/5.33 |
% 19.91/5.33 | Equations (245) can reduce 200 to:
% 19.91/5.33 | (499) ~ (e3 = e2)
% 19.91/5.33 |
% 19.91/5.33 | Simplifying 499 yields:
% 19.91/5.33 | (69) ~ (e3 = e2)
% 19.91/5.33 |
% 19.91/5.33 | Equations (245) can reduce 304 to:
% 19.91/5.33 | (49) ~ (e2 = e1)
% 19.91/5.33 |
% 19.91/5.33 | Equations (245) can reduce 842 to:
% 19.91/5.33 | (137) ~ (e2 = e0)
% 19.91/5.33 |
% 19.91/5.33 +-Applying beta-rule and splitting (648), into two cases.
% 19.91/5.33 |-Branch one:
% 19.91/5.33 | (413) all_0_17_17 = e3
% 19.91/5.33 |
% 19.91/5.34 | Combining equations (276,413) yields a new equation:
% 19.91/5.34 | (414) e3 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (414) can reduce 147 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (416) ~ (all_0_17_17 = e3)
% 19.91/5.34 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (862), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (218) all_0_18_18 = e3
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (222,218) yields a new equation:
% 19.91/5.34 | (533) e3 = e2
% 19.91/5.34 |
% 19.91/5.34 | Equations (533) can reduce 69 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (214) ~ (all_0_18_18 = e3)
% 19.91/5.34 | (327) all_0_19_19 = e3
% 19.91/5.34 |
% 19.91/5.34 | Equations (327) can reduce 310 to:
% 19.91/5.34 | (147) ~ (e3 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Equations (327) can reduce 185 to:
% 19.91/5.34 | (107) ~ (e3 = e0)
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (319), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (336) all_0_13_13 = e3
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (507,336) yields a new equation:
% 19.91/5.34 | (365) e3 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (365) can reduce 107 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (216) ~ (all_0_13_13 = e3)
% 19.91/5.34 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (402), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (413) all_0_17_17 = e3
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (276,413) yields a new equation:
% 19.91/5.34 | (414) e3 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (414) can reduce 147 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (416) ~ (all_0_17_17 = e3)
% 19.91/5.34 | (417) all_0_21_21 = e3
% 19.91/5.34 |
% 19.91/5.34 | Equations (417) can reduce 1811 to:
% 19.91/5.34 | (69) ~ (e3 = e2)
% 19.91/5.34 |
% 19.91/5.34 | Equations (417) can reduce 312 to:
% 19.91/5.34 | (147) ~ (e3 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Equations (417) can reduce 187 to:
% 19.91/5.34 | (107) ~ (e3 = e0)
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (152), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (229), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (230), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (231), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (232), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (233), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (234), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (235), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (236), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (237), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (238), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (239) yields:
% 19.91/5.34 | (240) all_0_9_9 = e3
% 19.91/5.34 | (241) all_0_12_12 = e3
% 19.91/5.34 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (245,240) yields a new equation:
% 19.91/5.34 | (533) e3 = e2
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (657,241) yields a new equation:
% 19.91/5.34 | (414) e3 = e1
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (533,414) yields a new equation:
% 19.91/5.34 | (716) e2 = e1
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 716 yields:
% 19.91/5.34 | (388) e2 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (388) can reduce 49 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (244) yields:
% 19.91/5.34 | (245) all_0_9_9 = e2
% 19.91/5.34 | (246) all_0_12_12 = e2
% 19.91/5.34 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (657,246) yields a new equation:
% 19.91/5.34 | (388) e2 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (388) can reduce 49 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (249) yields:
% 19.91/5.34 | (250) all_0_10_10 = e3
% 19.91/5.34 | (251) all_0_16_16 = e3
% 19.91/5.34 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (250,255) yields a new equation:
% 19.91/5.34 | (441) e3 = e1
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 441 yields:
% 19.91/5.34 | (414) e3 = e1
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (251,320) yields a new equation:
% 19.91/5.34 | (364) e3 = e0
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 364 yields:
% 19.91/5.34 | (365) e3 = e0
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (414,365) yields a new equation:
% 19.91/5.34 | (371) e1 = e0
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 371 yields:
% 19.91/5.34 | (372) e1 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (372) can reduce 90 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (254) yields:
% 19.91/5.34 | (255) all_0_10_10 = e1
% 19.91/5.34 | (256) all_0_16_16 = e1
% 19.91/5.34 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (256,320) yields a new equation:
% 19.91/5.34 | (371) e1 = e0
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 371 yields:
% 19.91/5.34 | (372) e1 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (372) can reduce 90 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (259) yields:
% 19.91/5.34 | (260) all_0_11_11 = e3
% 19.91/5.34 | (261) all_0_20_20 = e3
% 19.91/5.34 | (262) ~ (all_0_23_23 = e0)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (265,260) yields a new equation:
% 19.91/5.34 | (365) e3 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (365) can reduce 107 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (264) yields:
% 19.91/5.34 | (265) all_0_11_11 = e0
% 19.91/5.34 | (266) all_0_20_20 = e0
% 19.91/5.34 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.34 |
% 19.91/5.34 | Equations (266) can reduce 186 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (269) yields:
% 19.91/5.34 | (270) all_0_14_14 = e2
% 19.91/5.34 | (271) all_0_17_17 = e2
% 19.91/5.34 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (271,276) yields a new equation:
% 19.91/5.34 | (716) e2 = e1
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 716 yields:
% 19.91/5.34 | (388) e2 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (388) can reduce 49 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (274) yields:
% 19.91/5.34 | (275) all_0_14_14 = e1
% 19.91/5.34 | (276) all_0_17_17 = e1
% 19.91/5.34 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (275,440) yields a new equation:
% 19.91/5.34 | (414) e3 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (414) can reduce 147 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (279) yields:
% 19.91/5.34 | (280) all_0_15_15 = e2
% 19.91/5.34 | (281) all_0_21_21 = e2
% 19.91/5.34 | (262) ~ (all_0_23_23 = e0)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (417,281) yields a new equation:
% 19.91/5.34 | (532) e3 = e2
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 532 yields:
% 19.91/5.34 | (533) e3 = e2
% 19.91/5.34 |
% 19.91/5.34 | Equations (533) can reduce 69 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (284) yields:
% 19.91/5.34 | (285) all_0_15_15 = e0
% 19.91/5.34 | (286) all_0_21_21 = e0
% 19.91/5.34 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (280,285) yields a new equation:
% 19.91/5.34 | (489) e2 = e0
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 489 yields:
% 19.91/5.34 | (490) e2 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (490) can reduce 137 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (289) yields:
% 19.91/5.34 | (290) all_0_19_19 = e1
% 19.91/5.34 | (291) all_0_22_22 = e1
% 19.91/5.34 | (262) ~ (all_0_23_23 = e0)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (291,296) yields a new equation:
% 19.91/5.34 | (371) e1 = e0
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 371 yields:
% 19.91/5.34 | (372) e1 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (372) can reduce 90 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Applying alpha-rule on (294) yields:
% 19.91/5.34 | (295) all_0_19_19 = e0
% 19.91/5.34 | (296) all_0_22_22 = e0
% 19.91/5.34 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (327,295) yields a new equation:
% 19.91/5.34 | (364) e3 = e0
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 364 yields:
% 19.91/5.34 | (365) e3 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (365) can reduce 107 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (636) ~ (all_0_9_9 = e2)
% 19.91/5.34 | (5594) all_0_9_9 = e1 | all_0_9_9 = e0
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (5594), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (428) all_0_9_9 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (428) can reduce 304 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (304) ~ (all_0_9_9 = e1)
% 19.91/5.34 | (672) all_0_9_9 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (672) can reduce 842 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (480) ~ (all_0_16_16 = e0)
% 19.91/5.34 | (266) all_0_20_20 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (266) can reduce 186 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.34 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (4222), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (727) all_0_13_13 = e2
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (727,507) yields a new equation:
% 19.91/5.34 | (489) e2 = e0
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 489 yields:
% 19.91/5.34 | (490) e2 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (490) can reduce 137 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.34 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (4238), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (226) all_0_18_18 = e1
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (226,222) yields a new equation:
% 19.91/5.34 | (388) e2 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (388) can reduce 49 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.34 | (182) all_0_23_23 = e0
% 19.91/5.34 |
% 19.91/5.34 | Combining equations (182,179) yields a new equation:
% 19.91/5.34 | (372) e1 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (372) can reduce 90 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (660) ~ (all_0_12_12 = e1)
% 19.91/5.34 | (895) all_0_16_16 = e1 | all_0_20_20 = e1
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (895), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (256) all_0_16_16 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (256) can reduce 227 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (227) ~ (all_0_16_16 = e1)
% 19.91/5.34 | (691) all_0_20_20 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (691) can reduce 839 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (444) ~ (all_0_14_14 = e3)
% 19.91/5.34 | (911) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (911), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (270) all_0_14_14 = e2
% 19.91/5.34 |
% 19.91/5.34 | Equations (270) can reduce 498 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (498) ~ (all_0_14_14 = e2)
% 19.91/5.34 | (919) all_0_14_14 = e1 | all_0_14_14 = e0
% 19.91/5.34 |
% 19.91/5.34 +-Applying beta-rule and splitting (919), into two cases.
% 19.91/5.34 |-Branch one:
% 19.91/5.34 | (275) all_0_14_14 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (275) can reduce 835 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (835) ~ (all_0_14_14 = e1)
% 19.91/5.34 | (513) all_0_14_14 = e0
% 19.91/5.34 |
% 19.91/5.34 | Equations (513) can reduce 594 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (394) ~ (all_0_10_10 = e1)
% 19.91/5.34 | (437) all_0_11_11 = e1
% 19.91/5.34 |
% 19.91/5.34 | Equations (437) can reduce 600 to:
% 19.91/5.34 | (172) $false
% 19.91/5.34 |
% 19.91/5.34 |-The branch is then unsatisfiable
% 19.91/5.34 |-Branch two:
% 19.91/5.34 | (423) all_0_8_8 = e1
% 19.91/5.34 | (250) all_0_10_10 = e3
% 19.91/5.34 |
% 19.91/5.34 | Equations (423) can reduce 113 to:
% 19.91/5.34 | (2485) ~ (all_0_9_9 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Simplifying 2485 yields:
% 19.91/5.34 | (304) ~ (all_0_9_9 = e1)
% 19.91/5.34 |
% 19.91/5.34 | Equations (423,250) can reduce 59 to:
% 19.91/5.35 | (438) ~ (e3 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 438 yields:
% 19.91/5.35 | (147) ~ (e3 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Equations (423) can reduce 35 to:
% 19.91/5.35 | (2491) ~ (all_0_12_12 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 2491 yields:
% 19.91/5.35 | (660) ~ (all_0_12_12 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Equations (423) can reduce 104 to:
% 19.91/5.35 | (2493) ~ (all_0_16_16 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 2493 yields:
% 19.91/5.35 | (227) ~ (all_0_16_16 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Equations (423) can reduce 166 to:
% 19.91/5.35 | (7355) ~ (all_0_20_20 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 7355 yields:
% 19.91/5.35 | (839) ~ (all_0_20_20 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Equations (250) can reduce 52 to:
% 19.91/5.35 | (203) ~ (all_0_11_11 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 203 yields:
% 19.91/5.35 | (204) ~ (all_0_11_11 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Equations (250) can reduce 65 to:
% 19.91/5.35 | (3148) ~ (all_0_14_14 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 3148 yields:
% 19.91/5.35 | (444) ~ (all_0_14_14 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Equations (250) can reduce 305 to:
% 19.91/5.35 | (69) ~ (e3 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (250) can reduce 599 to:
% 19.91/5.35 | (107) ~ (e3 = e0)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (51), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (198) all_0_8_8 = e3
% 19.91/5.35 |
% 19.91/5.35 | Combining equations (198,423) yields a new equation:
% 19.91/5.35 | (441) e3 = e1
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 441 yields:
% 19.91/5.35 | (414) e3 = e1
% 19.91/5.35 |
% 19.91/5.35 | Equations (414) can reduce 147 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.35 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 19.91/5.35 |
% 19.91/5.35 | Equations (423) can reduce 247 to:
% 19.91/5.35 | (438) ~ (e3 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 438 yields:
% 19.91/5.35 | (147) ~ (e3 = e1)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (4222), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (727) all_0_13_13 = e2
% 19.91/5.35 |
% 19.91/5.35 | Equations (727) can reduce 18 to:
% 19.91/5.35 | (636) ~ (all_0_9_9 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (727) can reduce 12 to:
% 19.91/5.35 | (497) ~ (all_0_14_14 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 497 yields:
% 19.91/5.35 | (498) ~ (all_0_14_14 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (727) can reduce 84 to:
% 19.91/5.35 | (2533) ~ (all_0_15_15 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 2533 yields:
% 19.91/5.35 | (1585) ~ (all_0_15_15 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (727) can reduce 142 to:
% 19.91/5.35 | (3039) ~ (all_0_21_21 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 3039 yields:
% 19.91/5.35 | (1811) ~ (all_0_21_21 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (727) can reduce 167 to:
% 19.91/5.35 | (49) ~ (e2 = e1)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (96), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (657) all_0_12_12 = e1
% 19.91/5.35 |
% 19.91/5.35 | Equations (657) can reduce 660 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (660) ~ (all_0_12_12 = e1)
% 19.91/5.35 | (661) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (122), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (635) all_0_11_11 = e2
% 19.91/5.35 |
% 19.91/5.35 | Equations (635) can reduce 97 to:
% 19.91/5.35 | (636) ~ (all_0_9_9 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (635) can reduce 115 to:
% 19.91/5.35 | (313) ~ (all_0_19_19 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 313 yields:
% 19.91/5.35 | (314) ~ (all_0_19_19 = e2)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (91), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (440) all_0_14_14 = e3
% 19.91/5.35 |
% 19.91/5.35 | Equations (440) can reduce 444 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (444) ~ (all_0_14_14 = e3)
% 19.91/5.35 | (911) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (911), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (270) all_0_14_14 = e2
% 19.91/5.35 |
% 19.91/5.35 | Equations (270) can reduce 498 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (498) ~ (all_0_14_14 = e2)
% 19.91/5.35 | (919) all_0_14_14 = e1 | all_0_14_14 = e0
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (134), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (417) all_0_21_21 = e3
% 19.91/5.35 |
% 19.91/5.35 | Equations (417) can reduce 17 to:
% 19.91/5.35 | (200) ~ (all_0_9_9 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Equations (417) can reduce 75 to:
% 19.91/5.35 | (210) ~ (all_0_20_20 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Equations (417) can reduce 1811 to:
% 19.91/5.35 | (69) ~ (e3 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (417) can reduce 187 to:
% 19.91/5.35 | (107) ~ (e3 = e0)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (919), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (275) all_0_14_14 = e1
% 19.91/5.35 |
% 19.91/5.35 | Equations (275) can reduce 127 to:
% 19.91/5.35 | (660) ~ (all_0_12_12 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Equations (275) can reduce 444 to:
% 19.91/5.35 | (438) ~ (e3 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 438 yields:
% 19.91/5.35 | (147) ~ (e3 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Equations (275) can reduce 498 to:
% 19.91/5.35 | (307) ~ (e2 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 307 yields:
% 19.91/5.35 | (49) ~ (e2 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Equations (275) can reduce 594 to:
% 19.91/5.35 | (90) ~ (e1 = e0)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (72), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (261) all_0_20_20 = e3
% 19.91/5.35 |
% 19.91/5.35 | Equations (261) can reduce 210 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (210) ~ (all_0_20_20 = e3)
% 19.91/5.35 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (61), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (240) all_0_9_9 = e3
% 19.91/5.35 |
% 19.91/5.35 | Equations (240) can reduce 200 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (200) ~ (all_0_9_9 = e3)
% 19.91/5.35 | (4629) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (11), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (672) all_0_9_9 = e0
% 19.91/5.35 |
% 19.91/5.35 | Equations (672) can reduce 200 to:
% 19.91/5.35 | (189) ~ (e3 = e0)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 189 yields:
% 19.91/5.35 | (107) ~ (e3 = e0)
% 19.91/5.35 |
% 19.91/5.35 | Equations (672) can reduce 636 to:
% 19.91/5.35 | (191) ~ (e2 = e0)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 191 yields:
% 19.91/5.35 | (137) ~ (e2 = e0)
% 19.91/5.35 |
% 19.91/5.35 | Equations (672) can reduce 304 to:
% 19.91/5.35 | (193) ~ (e1 = e0)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 193 yields:
% 19.91/5.35 | (90) ~ (e1 = e0)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (686), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (687) all_0_20_20 = e2
% 19.91/5.35 |
% 19.91/5.35 | Equations (687) can reduce 41 to:
% 19.91/5.35 | (711) ~ (all_0_12_12 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (687) can reduce 210 to:
% 19.91/5.35 | (499) ~ (e3 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 499 yields:
% 19.91/5.35 | (69) ~ (e3 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (687) can reduce 839 to:
% 19.91/5.35 | (49) ~ (e2 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Equations (687) can reduce 186 to:
% 19.91/5.35 | (137) ~ (e2 = e0)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (144), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (241) all_0_12_12 = e3
% 19.91/5.35 |
% 19.91/5.35 | Equations (241) can reduce 162 to:
% 19.91/5.35 | (1123) ~ (all_0_15_15 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 1123 yields:
% 19.91/5.35 | (329) ~ (all_0_15_15 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Equations (241) can reduce 711 to:
% 19.91/5.35 | (69) ~ (e3 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (241) can reduce 660 to:
% 19.91/5.35 | (147) ~ (e3 = e1)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (106), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (260) all_0_11_11 = e3
% 19.91/5.35 |
% 19.91/5.35 | Combining equations (260,635) yields a new equation:
% 19.91/5.35 | (532) e3 = e2
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 532 yields:
% 19.91/5.35 | (533) e3 = e2
% 19.91/5.35 |
% 19.91/5.35 | Equations (533) can reduce 69 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (204) ~ (all_0_11_11 = e3)
% 19.91/5.35 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (628), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (419) all_0_15_15 = e3
% 19.91/5.35 |
% 19.91/5.35 | Equations (419) can reduce 329 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (329) ~ (all_0_15_15 = e3)
% 19.91/5.35 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (965), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (327) all_0_19_19 = e3
% 19.91/5.35 |
% 19.91/5.35 | Equations (327) can reduce 32 to:
% 19.91/5.35 | (208) ~ (all_0_16_16 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Equations (327) can reduce 314 to:
% 19.91/5.35 | (69) ~ (e3 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Equations (327) can reduce 310 to:
% 19.91/5.35 | (147) ~ (e3 = e1)
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (83), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (251) all_0_16_16 = e3
% 19.91/5.35 |
% 19.91/5.35 | Equations (251) can reduce 208 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (208) ~ (all_0_16_16 = e3)
% 19.91/5.35 | (665) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (152), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (229), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (230), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (231), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (232), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (233), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (234), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (235), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (236), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (237), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 19.91/5.35 |
% 19.91/5.35 +-Applying beta-rule and splitting (238), into two cases.
% 19.91/5.35 |-Branch one:
% 19.91/5.35 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Applying alpha-rule on (239) yields:
% 19.91/5.35 | (240) all_0_9_9 = e3
% 19.91/5.35 | (241) all_0_12_12 = e3
% 19.91/5.35 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Combining equations (672,240) yields a new equation:
% 19.91/5.35 | (365) e3 = e0
% 19.91/5.35 |
% 19.91/5.35 | Equations (365) can reduce 107 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Applying alpha-rule on (244) yields:
% 19.91/5.35 | (245) all_0_9_9 = e2
% 19.91/5.35 | (246) all_0_12_12 = e2
% 19.91/5.35 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Combining equations (672,245) yields a new equation:
% 19.91/5.35 | (490) e2 = e0
% 19.91/5.35 |
% 19.91/5.35 | Equations (490) can reduce 137 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Applying alpha-rule on (249) yields:
% 19.91/5.35 | (250) all_0_10_10 = e3
% 19.91/5.35 | (251) all_0_16_16 = e3
% 19.91/5.35 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Equations (251) can reduce 208 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Applying alpha-rule on (254) yields:
% 19.91/5.35 | (255) all_0_10_10 = e1
% 19.91/5.35 | (256) all_0_16_16 = e1
% 19.91/5.35 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Combining equations (255,250) yields a new equation:
% 19.91/5.35 | (414) e3 = e1
% 19.91/5.35 |
% 19.91/5.35 | Equations (414) can reduce 147 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 19.91/5.35 |
% 19.91/5.35 | Applying alpha-rule on (259) yields:
% 19.91/5.35 | (260) all_0_11_11 = e3
% 19.91/5.35 | (261) all_0_20_20 = e3
% 19.91/5.35 | (262) ~ (all_0_23_23 = e0)
% 19.91/5.35 |
% 19.91/5.35 | Combining equations (261,687) yields a new equation:
% 19.91/5.35 | (532) e3 = e2
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 532 yields:
% 19.91/5.35 | (533) e3 = e2
% 19.91/5.35 |
% 19.91/5.35 | Equations (533) can reduce 69 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Applying alpha-rule on (264) yields:
% 19.91/5.35 | (265) all_0_11_11 = e0
% 19.91/5.35 | (266) all_0_20_20 = e0
% 19.91/5.35 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.35 |
% 19.91/5.35 | Combining equations (266,687) yields a new equation:
% 19.91/5.35 | (490) e2 = e0
% 19.91/5.35 |
% 19.91/5.35 | Equations (490) can reduce 137 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Applying alpha-rule on (269) yields:
% 19.91/5.35 | (270) all_0_14_14 = e2
% 19.91/5.35 | (271) all_0_17_17 = e2
% 19.91/5.35 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.35 |
% 19.91/5.35 | Combining equations (271,276) yields a new equation:
% 19.91/5.35 | (716) e2 = e1
% 19.91/5.35 |
% 19.91/5.35 | Simplifying 716 yields:
% 19.91/5.35 | (388) e2 = e1
% 19.91/5.35 |
% 19.91/5.35 | Equations (388) can reduce 49 to:
% 19.91/5.35 | (172) $false
% 19.91/5.35 |
% 19.91/5.35 |-The branch is then unsatisfiable
% 19.91/5.35 |-Branch two:
% 19.91/5.35 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 19.91/5.35 |
% 19.91/5.35 | Applying alpha-rule on (274) yields:
% 19.91/5.35 | (275) all_0_14_14 = e1
% 19.91/5.35 | (276) all_0_17_17 = e1
% 19.91/5.35 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.35 |
% 19.91/5.36 | Equations (727) can reduce 242 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 19.91/5.36 |
% 19.91/5.36 | Applying alpha-rule on (279) yields:
% 19.91/5.36 | (280) all_0_15_15 = e2
% 19.91/5.36 | (281) all_0_21_21 = e2
% 19.91/5.36 | (262) ~ (all_0_23_23 = e0)
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (281,417) yields a new equation:
% 19.91/5.36 | (533) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (533) can reduce 69 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 19.91/5.36 |
% 19.91/5.36 | Applying alpha-rule on (284) yields:
% 19.91/5.36 | (285) all_0_15_15 = e0
% 19.91/5.36 | (286) all_0_21_21 = e0
% 19.91/5.36 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (286,417) yields a new equation:
% 19.91/5.36 | (365) e3 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (365) can reduce 107 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 19.91/5.36 |
% 19.91/5.36 | Applying alpha-rule on (289) yields:
% 19.91/5.36 | (290) all_0_19_19 = e1
% 19.91/5.36 | (291) all_0_22_22 = e1
% 19.91/5.36 | (262) ~ (all_0_23_23 = e0)
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (291,296) yields a new equation:
% 19.91/5.36 | (371) e1 = e0
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 371 yields:
% 19.91/5.36 | (372) e1 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (372) can reduce 90 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 19.91/5.36 |
% 19.91/5.36 | Applying alpha-rule on (294) yields:
% 19.91/5.36 | (295) all_0_19_19 = e0
% 19.91/5.36 | (296) all_0_22_22 = e0
% 19.91/5.36 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (295,327) yields a new equation:
% 19.91/5.36 | (365) e3 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (365) can reduce 107 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (469) ~ (all_0_19_19 = e3)
% 19.91/5.36 | (171) all_0_23_23 = e3
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (179,171) yields a new equation:
% 19.91/5.36 | (414) e3 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (414) can reduce 147 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (206) ~ (all_0_12_12 = e3)
% 19.91/5.36 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (109), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (198) all_0_8_8 = e3
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (198,423) yields a new equation:
% 19.91/5.36 | (441) e3 = e1
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 441 yields:
% 19.91/5.36 | (414) e3 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (414) can reduce 147 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (247) ~ (all_0_8_8 = e3)
% 19.91/5.36 | (1179) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 19.91/5.36 |
% 19.91/5.36 | Equations (423) can reduce 247 to:
% 19.91/5.36 | (438) ~ (e3 = e1)
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 438 yields:
% 19.91/5.36 | (147) ~ (e3 = e1)
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (335), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (336) all_0_13_13 = e3
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (336,727) yields a new equation:
% 19.91/5.36 | (532) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 532 yields:
% 19.91/5.36 | (533) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (533) can reduce 69 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (216) ~ (all_0_13_13 = e3)
% 19.91/5.36 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (339), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (440) all_0_14_14 = e3
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (275,440) yields a new equation:
% 19.91/5.36 | (414) e3 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (414) can reduce 147 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (444) ~ (all_0_14_14 = e3)
% 19.91/5.36 | (419) all_0_15_15 = e3
% 19.91/5.36 |
% 19.91/5.36 | Equations (419) can reduce 329 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (668) ~ (all_0_20_20 = e2)
% 19.91/5.36 | (690) all_0_20_20 = e1 | all_0_20_20 = e0
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (132), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (687) all_0_20_20 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (687) can reduce 668 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (668) ~ (all_0_20_20 = e2)
% 19.91/5.36 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (1798), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (281) all_0_21_21 = e2
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (281,417) yields a new equation:
% 19.91/5.36 | (533) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (533) can reduce 69 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (1811) ~ (all_0_21_21 = e2)
% 19.91/5.36 | (1812) all_0_22_22 = e2 | all_0_23_23 = e2
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (1812), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (725) all_0_22_22 = e2
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (725,296) yields a new equation:
% 19.91/5.36 | (489) e2 = e0
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 489 yields:
% 19.91/5.36 | (490) e2 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (490) can reduce 137 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (933) ~ (all_0_22_22 = e2)
% 19.91/5.36 | (175) all_0_23_23 = e2
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (179,175) yields a new equation:
% 19.91/5.36 | (388) e2 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (388) can reduce 49 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (842) ~ (all_0_9_9 = e0)
% 19.91/5.36 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (843), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (507) all_0_13_13 = e0
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (507,727) yields a new equation:
% 19.91/5.36 | (490) e2 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (490) can reduce 137 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (511) ~ (all_0_13_13 = e0)
% 19.91/5.36 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (1594), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (482) all_0_17_17 = e0
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (276,482) yields a new equation:
% 19.91/5.36 | (371) e1 = e0
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 371 yields:
% 19.91/5.36 | (372) e1 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (372) can reduce 90 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (486) ~ (all_0_17_17 = e0)
% 19.91/5.36 | (286) all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (286,417) yields a new equation:
% 19.91/5.36 | (365) e3 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (365) can reduce 107 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (835) ~ (all_0_14_14 = e1)
% 19.91/5.36 | (513) all_0_14_14 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (513) can reduce 594 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (1618) ~ (all_0_21_21 = e3)
% 19.91/5.36 | (4204) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (4204), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (281) all_0_21_21 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (281) can reduce 1811 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (1811) ~ (all_0_21_21 = e2)
% 19.91/5.36 | (4272) all_0_21_21 = e1 | all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (4272), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (1292) all_0_21_21 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (1292) can reduce 312 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (312) ~ (all_0_21_21 = e1)
% 19.91/5.36 | (286) all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (286) can reduce 187 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (953) ~ (all_0_11_11 = e2)
% 19.91/5.36 | (2139) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (132), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (687) all_0_20_20 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (687) can reduce 41 to:
% 19.91/5.36 | (711) ~ (all_0_12_12 = e2)
% 19.91/5.36 |
% 19.91/5.36 | Equations (687) can reduce 75 to:
% 19.91/5.36 | (3039) ~ (all_0_21_21 = e2)
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 3039 yields:
% 19.91/5.36 | (1811) ~ (all_0_21_21 = e2)
% 19.91/5.36 |
% 19.91/5.36 | Equations (687) can reduce 839 to:
% 19.91/5.36 | (49) ~ (e2 = e1)
% 19.91/5.36 |
% 19.91/5.36 | Equations (687) can reduce 186 to:
% 19.91/5.36 | (137) ~ (e2 = e0)
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (11), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (672) all_0_9_9 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (672) can reduce 17 to:
% 19.91/5.36 | (991) ~ (all_0_21_21 = e0)
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 991 yields:
% 19.91/5.36 | (187) ~ (all_0_21_21 = e0)
% 19.91/5.36 |
% 19.91/5.36 | Equations (672) can reduce 636 to:
% 19.91/5.36 | (191) ~ (e2 = e0)
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 191 yields:
% 19.91/5.36 | (137) ~ (e2 = e0)
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (91), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (440) all_0_14_14 = e3
% 19.91/5.36 |
% 19.91/5.36 | Equations (440) can reduce 444 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (444) ~ (all_0_14_14 = e3)
% 19.91/5.36 | (911) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (134), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (417) all_0_21_21 = e3
% 19.91/5.36 |
% 19.91/5.36 | Equations (417) can reduce 1811 to:
% 19.91/5.36 | (69) ~ (e3 = e2)
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (661), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (679) all_0_13_13 = e1
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (679,727) yields a new equation:
% 19.91/5.36 | (388) e2 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (388) can reduce 49 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (167) ~ (all_0_13_13 = e1)
% 19.91/5.36 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (727) can reduce 167 to:
% 19.91/5.36 | (49) ~ (e2 = e1)
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (82), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (1100) all_0_8_8 = e2
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (1100,423) yields a new equation:
% 19.91/5.36 | (716) e2 = e1
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 716 yields:
% 19.91/5.36 | (388) e2 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (388) can reduce 49 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (196) ~ (all_0_8_8 = e2)
% 19.91/5.36 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (682), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (275) all_0_14_14 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (275) can reduce 127 to:
% 19.91/5.36 | (660) ~ (all_0_12_12 = e1)
% 19.91/5.36 |
% 19.91/5.36 | Equations (275) can reduce 444 to:
% 19.91/5.36 | (438) ~ (e3 = e1)
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 438 yields:
% 19.91/5.36 | (147) ~ (e3 = e1)
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (1193), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (245) all_0_9_9 = e2
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (245,672) yields a new equation:
% 19.91/5.36 | (489) e2 = e0
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 489 yields:
% 19.91/5.36 | (490) e2 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (490) can reduce 137 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (636) ~ (all_0_9_9 = e2)
% 19.91/5.36 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (144), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (241) all_0_12_12 = e3
% 19.91/5.36 |
% 19.91/5.36 | Equations (241) can reduce 71 to:
% 19.91/5.36 | (207) ~ (all_0_16_16 = e3)
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 207 yields:
% 19.91/5.36 | (208) ~ (all_0_16_16 = e3)
% 19.91/5.36 |
% 19.91/5.36 | Equations (241) can reduce 711 to:
% 19.91/5.36 | (69) ~ (e3 = e2)
% 19.91/5.36 |
% 19.91/5.36 | Equations (241) can reduce 660 to:
% 19.91/5.36 | (147) ~ (e3 = e1)
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (20), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (251) all_0_16_16 = e3
% 19.91/5.36 |
% 19.91/5.36 | Equations (251) can reduce 208 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (208) ~ (all_0_16_16 = e3)
% 19.91/5.36 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (648), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (413) all_0_17_17 = e3
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (276,413) yields a new equation:
% 19.91/5.36 | (414) e3 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (414) can reduce 147 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (416) ~ (all_0_17_17 = e3)
% 19.91/5.36 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (862), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (218) all_0_18_18 = e3
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (222,218) yields a new equation:
% 19.91/5.36 | (533) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (533) can reduce 69 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (214) ~ (all_0_18_18 = e3)
% 19.91/5.36 | (327) all_0_19_19 = e3
% 19.91/5.36 |
% 19.91/5.36 | Equations (327) can reduce 314 to:
% 19.91/5.36 | (69) ~ (e3 = e2)
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (4507), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (403) all_0_10_10 = e2
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (403,250) yields a new equation:
% 19.91/5.36 | (533) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (533) can reduce 69 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (305) ~ (all_0_10_10 = e2)
% 19.91/5.36 | (635) all_0_11_11 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (635) can reduce 953 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (206) ~ (all_0_12_12 = e3)
% 19.91/5.36 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (335), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (336) all_0_13_13 = e3
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (336,727) yields a new equation:
% 19.91/5.36 | (532) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 532 yields:
% 19.91/5.36 | (533) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (533) can reduce 69 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (216) ~ (all_0_13_13 = e3)
% 19.91/5.36 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (339), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (440) all_0_14_14 = e3
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (275,440) yields a new equation:
% 19.91/5.36 | (414) e3 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (414) can reduce 147 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (444) ~ (all_0_14_14 = e3)
% 19.91/5.36 | (419) all_0_15_15 = e3
% 19.91/5.36 |
% 19.91/5.36 | Equations (419) can reduce 329 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (835) ~ (all_0_14_14 = e1)
% 19.91/5.36 | (836) all_0_15_15 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (836) can reduce 602 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (1618) ~ (all_0_21_21 = e3)
% 19.91/5.36 | (4204) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (4204), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (281) all_0_21_21 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (281) can reduce 1811 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (1811) ~ (all_0_21_21 = e2)
% 19.91/5.36 | (4272) all_0_21_21 = e1 | all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (4272), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (1292) all_0_21_21 = e1
% 19.91/5.36 |
% 19.91/5.36 | Equations (1292) can reduce 312 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (312) ~ (all_0_21_21 = e1)
% 19.91/5.36 | (286) all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 | Equations (286) can reduce 187 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (842) ~ (all_0_9_9 = e0)
% 19.91/5.36 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (22), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (261) all_0_20_20 = e3
% 19.91/5.36 |
% 19.91/5.36 | Combining equations (261,687) yields a new equation:
% 19.91/5.36 | (532) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Simplifying 532 yields:
% 19.91/5.36 | (533) e3 = e2
% 19.91/5.36 |
% 19.91/5.36 | Equations (533) can reduce 69 to:
% 19.91/5.36 | (172) $false
% 19.91/5.36 |
% 19.91/5.36 |-The branch is then unsatisfiable
% 19.91/5.36 |-Branch two:
% 19.91/5.36 | (210) ~ (all_0_20_20 = e3)
% 19.91/5.36 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (656), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.36 | (417) all_0_21_21 = e3
% 19.91/5.36 |
% 19.91/5.36 | Equations (417) can reduce 187 to:
% 19.91/5.36 | (107) ~ (e3 = e0)
% 19.91/5.36 |
% 19.91/5.36 +-Applying beta-rule and splitting (661), into two cases.
% 19.91/5.36 |-Branch one:
% 19.91/5.37 | (679) all_0_13_13 = e1
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (679,727) yields a new equation:
% 19.91/5.37 | (388) e2 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (388) can reduce 49 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (167) ~ (all_0_13_13 = e1)
% 19.91/5.37 | (682) all_0_14_14 = e1 | all_0_15_15 = e1
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (682), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (275) all_0_14_14 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (275) can reduce 594 to:
% 19.91/5.37 | (90) ~ (e1 = e0)
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (843), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (507) all_0_13_13 = e0
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (507,727) yields a new equation:
% 19.91/5.37 | (490) e2 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (490) can reduce 137 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (511) ~ (all_0_13_13 = e0)
% 19.91/5.37 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (1594), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (482) all_0_17_17 = e0
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (276,482) yields a new equation:
% 19.91/5.37 | (371) e1 = e0
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 371 yields:
% 19.91/5.37 | (372) e1 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (372) can reduce 90 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (486) ~ (all_0_17_17 = e0)
% 19.91/5.37 | (286) all_0_21_21 = e0
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (286,417) yields a new equation:
% 19.91/5.37 | (365) e3 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (365) can reduce 107 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (835) ~ (all_0_14_14 = e1)
% 19.91/5.37 | (836) all_0_15_15 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (836) can reduce 602 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (1618) ~ (all_0_21_21 = e3)
% 19.91/5.37 | (1791) all_0_22_22 = e3 | all_0_23_23 = e3
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (1791), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (902) all_0_22_22 = e3
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (296,902) yields a new equation:
% 19.91/5.37 | (365) e3 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (365) can reduce 107 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (881) ~ (all_0_22_22 = e3)
% 19.91/5.37 | (171) all_0_23_23 = e3
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (171,179) yields a new equation:
% 19.91/5.37 | (441) e3 = e1
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 441 yields:
% 19.91/5.37 | (414) e3 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (414) can reduce 147 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (668) ~ (all_0_20_20 = e2)
% 19.91/5.37 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (1798), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (281) all_0_21_21 = e2
% 19.91/5.37 |
% 19.91/5.37 | Equations (281) can reduce 1811 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (1811) ~ (all_0_21_21 = e2)
% 19.91/5.37 | (1812) all_0_22_22 = e2 | all_0_23_23 = e2
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (28), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (419) all_0_15_15 = e3
% 19.91/5.37 |
% 19.91/5.37 | Equations (419) can reduce 329 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (329) ~ (all_0_15_15 = e3)
% 19.91/5.37 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (422), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (280) all_0_15_15 = e2
% 19.91/5.37 |
% 19.91/5.37 | Equations (280) can reduce 1585 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (1585) ~ (all_0_15_15 = e2)
% 19.91/5.37 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (1586), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (836) all_0_15_15 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (836) can reduce 602 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (602) ~ (all_0_15_15 = e1)
% 19.91/5.37 | (285) all_0_15_15 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (285) can reduce 1585 to:
% 19.91/5.37 | (191) ~ (e2 = e0)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 191 yields:
% 19.91/5.37 | (137) ~ (e2 = e0)
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (99), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (1100) all_0_8_8 = e2
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (1100,423) yields a new equation:
% 19.91/5.37 | (716) e2 = e1
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 716 yields:
% 19.91/5.37 | (388) e2 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (388) can reduce 49 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (196) ~ (all_0_8_8 = e2)
% 19.91/5.37 | (3271) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 19.91/5.37 |
% 19.91/5.37 | Equations (423) can reduce 196 to:
% 19.91/5.37 | (307) ~ (e2 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 307 yields:
% 19.91/5.37 | (49) ~ (e2 = e1)
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (1812), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (725) all_0_22_22 = e2
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (296,725) yields a new equation:
% 19.91/5.37 | (490) e2 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (490) can reduce 137 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (933) ~ (all_0_22_22 = e2)
% 19.91/5.37 | (175) all_0_23_23 = e2
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (175,179) yields a new equation:
% 19.91/5.37 | (716) e2 = e1
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 716 yields:
% 19.91/5.37 | (388) e2 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (388) can reduce 49 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (242) ~ (all_0_13_13 = e2)
% 19.91/5.37 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (117), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (255) all_0_10_10 = e1
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (250,255) yields a new equation:
% 19.91/5.37 | (441) e3 = e1
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 441 yields:
% 19.91/5.37 | (414) e3 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (414) can reduce 147 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (394) ~ (all_0_10_10 = e1)
% 19.91/5.37 | (7548) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (106), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (260) all_0_11_11 = e3
% 19.91/5.37 |
% 19.91/5.37 | Equations (260) can reduce 204 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (204) ~ (all_0_11_11 = e3)
% 19.91/5.37 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (7548), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (275) all_0_14_14 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (275) can reduce 444 to:
% 19.91/5.37 | (438) ~ (e3 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 438 yields:
% 19.91/5.37 | (147) ~ (e3 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Equations (275) can reduce 498 to:
% 19.91/5.37 | (307) ~ (e2 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 307 yields:
% 19.91/5.37 | (49) ~ (e2 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Equations (275) can reduce 594 to:
% 19.91/5.37 | (90) ~ (e1 = e0)
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (628), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (419) all_0_15_15 = e3
% 19.91/5.37 |
% 19.91/5.37 | Equations (419) can reduce 329 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (329) ~ (all_0_15_15 = e3)
% 19.91/5.37 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (965), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (327) all_0_19_19 = e3
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (54), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (320) all_0_16_16 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (320) can reduce 227 to:
% 19.91/5.37 | (193) ~ (e1 = e0)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 193 yields:
% 19.91/5.37 | (90) ~ (e1 = e0)
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (4238), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (226) all_0_18_18 = e1
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (222,226) yields a new equation:
% 19.91/5.37 | (716) e2 = e1
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 716 yields:
% 19.91/5.37 | (388) e2 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (388) can reduce 49 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.37 | (182) all_0_23_23 = e0
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (182,179) yields a new equation:
% 19.91/5.37 | (372) e1 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (372) can reduce 90 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (480) ~ (all_0_16_16 = e0)
% 19.91/5.37 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (481), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (482) all_0_17_17 = e0
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (276,482) yields a new equation:
% 19.91/5.37 | (371) e1 = e0
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 371 yields:
% 19.91/5.37 | (372) e1 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (372) can reduce 90 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (486) ~ (all_0_17_17 = e0)
% 19.91/5.37 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (487), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (300) all_0_18_18 = e0
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (222,300) yields a new equation:
% 19.91/5.37 | (489) e2 = e0
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 489 yields:
% 19.91/5.37 | (490) e2 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (490) can reduce 137 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (215) ~ (all_0_18_18 = e0)
% 19.91/5.37 | (295) all_0_19_19 = e0
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (295,327) yields a new equation:
% 19.91/5.37 | (365) e3 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (365) can reduce 107 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (469) ~ (all_0_19_19 = e3)
% 19.91/5.37 | (171) all_0_23_23 = e3
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (171,179) yields a new equation:
% 19.91/5.37 | (441) e3 = e1
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 441 yields:
% 19.91/5.37 | (414) e3 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (414) can reduce 147 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (835) ~ (all_0_14_14 = e1)
% 19.91/5.37 | (7739) all_0_18_18 = e1 | all_0_22_22 = e1
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (7739), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (226) all_0_18_18 = e1
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (222,226) yields a new equation:
% 19.91/5.37 | (716) e2 = e1
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 716 yields:
% 19.91/5.37 | (388) e2 = e1
% 19.91/5.37 |
% 19.91/5.37 | Equations (388) can reduce 49 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (252) ~ (all_0_18_18 = e1)
% 19.91/5.37 | (291) all_0_22_22 = e1
% 19.91/5.37 |
% 19.91/5.37 | Combining equations (296,291) yields a new equation:
% 19.91/5.37 | (372) e1 = e0
% 19.91/5.37 |
% 19.91/5.37 | Equations (372) can reduce 90 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (9739) all_0_0_0 = e3
% 19.91/5.37 | (9740) ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e1)
% 19.91/5.37 |
% 19.91/5.37 +-Applying beta-rule and splitting (9740), into two cases.
% 19.91/5.37 |-Branch one:
% 19.91/5.37 | (5416) ~ (all_0_1_1 = e2)
% 19.91/5.37 |
% 19.91/5.37 | Equations (4850) can reduce 5416 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (4850) all_0_1_1 = e2
% 19.91/5.37 | (168) ~ (all_0_23_23 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Equations (179) can reduce 168 to:
% 19.91/5.37 | (172) $false
% 19.91/5.37 |
% 19.91/5.37 |-The branch is then unsatisfiable
% 19.91/5.37 |-Branch two:
% 19.91/5.37 | (679) all_0_13_13 = e1
% 19.91/5.37 | (270) all_0_14_14 = e2
% 19.91/5.37 |
% 19.91/5.37 | Equations (679) can reduce 18 to:
% 19.91/5.37 | (304) ~ (all_0_9_9 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Equations (270) can reduce 65 to:
% 19.91/5.37 | (305) ~ (all_0_10_10 = e2)
% 19.91/5.37 |
% 19.91/5.37 | Equations (679) can reduce 112 to:
% 19.91/5.37 | (660) ~ (all_0_12_12 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Equations (270) can reduce 127 to:
% 19.91/5.37 | (711) ~ (all_0_12_12 = e2)
% 19.91/5.37 |
% 19.91/5.37 | Equations (679,270) can reduce 12 to:
% 19.91/5.37 | (307) ~ (e2 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 307 yields:
% 19.91/5.37 | (49) ~ (e2 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Equations (679) can reduce 84 to:
% 19.91/5.37 | (1658) ~ (all_0_15_15 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 1658 yields:
% 19.91/5.37 | (602) ~ (all_0_15_15 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Equations (679) can reduce 5 to:
% 19.91/5.37 | (976) ~ (all_0_17_17 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 976 yields:
% 19.91/5.37 | (228) ~ (all_0_17_17 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Equations (679) can reduce 142 to:
% 19.91/5.37 | (311) ~ (all_0_21_21 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 311 yields:
% 19.91/5.37 | (312) ~ (all_0_21_21 = e1)
% 19.91/5.37 |
% 19.91/5.37 | Equations (270) can reduce 50 to:
% 19.91/5.37 | (2533) ~ (all_0_15_15 = e2)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 2533 yields:
% 19.91/5.37 | (1585) ~ (all_0_15_15 = e2)
% 19.91/5.37 |
% 19.91/5.37 | Equations (270) can reduce 21 to:
% 19.91/5.37 | (3278) ~ (all_0_18_18 = e2)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 3278 yields:
% 19.91/5.37 | (217) ~ (all_0_18_18 = e2)
% 19.91/5.37 |
% 19.91/5.37 | Equations (270) can reduce 81 to:
% 19.91/5.37 | (2115) ~ (all_0_22_22 = e2)
% 19.91/5.37 |
% 19.91/5.37 | Simplifying 2115 yields:
% 19.91/5.37 | (933) ~ (all_0_22_22 = e2)
% 19.91/5.37 |
% 19.91/5.37 | From (679)(679) and (120) follows:
% 19.91/5.37 | (9766) op(e1, e1) = all_0_5_5
% 19.91/5.38 |
% 19.91/5.38 | From (679) and (141) follows:
% 19.91/5.38 | (9767) op(e2, e2) = e1
% 19.91/5.38 |
% 19.91/5.38 | Instantiating formula (143) with e1, e1, all_0_5_5, all_0_18_18 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = all_0_18_18, yields:
% 19.91/5.38 | (9768) all_0_5_5 = all_0_18_18
% 19.91/5.38 |
% 19.91/5.38 | From (9768) and (38) follows:
% 19.91/5.38 | (9769) op(all_0_18_18, e2) = all_0_4_4
% 19.91/5.38 |
% 19.91/5.38 +-Applying beta-rule and splitting (126), into two cases.
% 19.91/5.38 |-Branch one:
% 19.91/5.38 | (214) ~ (all_0_18_18 = e3)
% 19.91/5.38 |
% 19.91/5.38 +-Applying beta-rule and splitting (3), into two cases.
% 19.91/5.38 |-Branch one:
% 19.91/5.38 | (168) ~ (all_0_23_23 = e1)
% 19.91/5.38 |
% 19.91/5.38 +-Applying beta-rule and splitting (146), into two cases.
% 19.91/5.38 |-Branch one:
% 19.91/5.38 | (169) ~ (all_0_23_23 = e2)
% 19.91/5.38 |
% 19.91/5.38 +-Applying beta-rule and splitting (136), into two cases.
% 19.91/5.38 |-Branch one:
% 19.91/5.38 | (170) ~ (all_0_23_23 = e3)
% 19.91/5.38 |
% 19.91/5.38 +-Applying beta-rule and splitting (102), into two cases.
% 19.91/5.38 |-Branch one:
% 19.91/5.38 | (171) all_0_23_23 = e3
% 19.91/5.38 |
% 19.91/5.38 | Equations (171) can reduce 170 to:
% 19.91/5.38 | (172) $false
% 19.91/5.38 |
% 19.91/5.38 |-The branch is then unsatisfiable
% 19.91/5.38 |-Branch two:
% 19.91/5.38 | (170) ~ (all_0_23_23 = e3)
% 19.91/5.38 | (174) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 19.91/5.38 |
% 19.91/5.38 +-Applying beta-rule and splitting (174), into two cases.
% 19.91/5.38 |-Branch one:
% 19.91/5.38 | (175) all_0_23_23 = e2
% 19.91/5.38 |
% 19.91/5.38 | Equations (175) can reduce 169 to:
% 19.91/5.38 | (172) $false
% 19.91/5.38 |
% 19.91/5.38 |-The branch is then unsatisfiable
% 19.91/5.38 |-Branch two:
% 19.91/5.38 | (169) ~ (all_0_23_23 = e2)
% 19.91/5.38 | (178) all_0_23_23 = e1 | all_0_23_23 = e0
% 19.91/5.38 |
% 19.91/5.38 +-Applying beta-rule and splitting (178), into two cases.
% 19.91/5.38 |-Branch one:
% 19.91/5.38 | (179) all_0_23_23 = e1
% 19.91/5.38 |
% 19.91/5.38 | Equations (179) can reduce 168 to:
% 19.91/5.38 | (172) $false
% 19.91/5.38 |
% 19.91/5.38 |-The branch is then unsatisfiable
% 19.91/5.38 |-Branch two:
% 19.91/5.38 | (168) ~ (all_0_23_23 = e1)
% 19.91/5.38 | (182) all_0_23_23 = e0
% 19.91/5.38 |
% 19.91/5.38 | Equations (182) can reduce 67 to:
% 19.91/5.38 | (183) ~ (all_0_11_11 = e0)
% 19.91/5.38 |
% 19.91/5.38 | Equations (182) can reduce 46 to:
% 19.91/5.38 | (184) ~ (all_0_15_15 = e0)
% 19.91/5.38 |
% 19.91/5.38 | Equations (182) can reduce 7 to:
% 19.91/5.38 | (185) ~ (all_0_19_19 = e0)
% 19.91/5.38 |
% 19.91/5.38 | Equations (182) can reduce 158 to:
% 19.91/5.38 | (187) ~ (all_0_21_21 = e0)
% 19.91/5.38 |
% 19.91/5.38 +-Applying beta-rule and splitting (28), into two cases.
% 19.91/5.38 |-Branch one:
% 19.91/5.38 | (419) all_0_15_15 = e3
% 19.91/5.38 |
% 19.91/5.38 | Equations (419) can reduce 98 to:
% 19.91/5.38 | (204) ~ (all_0_11_11 = e3)
% 19.91/5.38 |
% 19.91/5.38 | Equations (419) can reduce 162 to:
% 19.91/5.38 | (206) ~ (all_0_12_12 = e3)
% 19.91/5.38 |
% 19.91/5.38 | Equations (419) can reduce 149 to:
% 19.91/5.38 | (1125) ~ (all_0_19_19 = e3)
% 19.91/5.38 |
% 19.91/5.38 | Simplifying 1125 yields:
% 19.91/5.38 | (469) ~ (all_0_19_19 = e3)
% 19.91/5.38 |
% 19.91/5.38 | Equations (419) can reduce 1585 to:
% 19.91/5.38 | (69) ~ (e3 = e2)
% 19.91/5.38 |
% 19.91/5.38 +-Applying beta-rule and splitting (92), into two cases.
% 19.91/5.38 |-Branch one:
% 19.91/5.38 | (501) all_0_12_12 = e0
% 19.91/5.38 |
% 19.91/5.38 | Equations (501) can reduce 35 to:
% 19.91/5.38 | (197) ~ (all_0_8_8 = e0)
% 19.91/5.38 |
% 19.91/5.38 | Equations (501) can reduce 71 to:
% 19.91/5.38 | (641) ~ (all_0_16_16 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 641 yields:
% 20.15/5.38 | (480) ~ (all_0_16_16 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Equations (501) can reduce 41 to:
% 20.15/5.38 | (323) ~ (all_0_20_20 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 323 yields:
% 20.15/5.38 | (186) ~ (all_0_20_20 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Equations (501) can reduce 206 to:
% 20.15/5.38 | (189) ~ (e3 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 189 yields:
% 20.15/5.38 | (107) ~ (e3 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Equations (501) can reduce 660 to:
% 20.15/5.38 | (193) ~ (e1 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 193 yields:
% 20.15/5.38 | (90) ~ (e1 = e0)
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (77), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (215) ~ (all_0_18_18 = e0)
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (110), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (410) all_0_10_10 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (410) can reduce 79 to:
% 20.15/5.38 | (842) ~ (all_0_9_9 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Equations (410) can reduce 145 to:
% 20.15/5.38 | (514) ~ (all_0_22_22 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 514 yields:
% 20.15/5.38 | (188) ~ (all_0_22_22 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Equations (410) can reduce 305 to:
% 20.15/5.38 | (191) ~ (e2 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 191 yields:
% 20.15/5.38 | (137) ~ (e2 = e0)
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (11), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (672) all_0_9_9 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (672) can reduce 842 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (842) ~ (all_0_9_9 = e0)
% 20.15/5.38 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (843), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (507) all_0_13_13 = e0
% 20.15/5.38 |
% 20.15/5.38 | Combining equations (679,507) yields a new equation:
% 20.15/5.38 | (371) e1 = e0
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 371 yields:
% 20.15/5.38 | (372) e1 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (372) can reduce 90 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (511) ~ (all_0_13_13 = e0)
% 20.15/5.38 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (1594), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (482) all_0_17_17 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (482) can reduce 228 to:
% 20.15/5.38 | (193) ~ (e1 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 193 yields:
% 20.15/5.38 | (90) ~ (e1 = e0)
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (152), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (229), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (230), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (231), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (232), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (233), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (234), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (235), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (236), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (237), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.15/5.38 |
% 20.15/5.38 +-Applying beta-rule and splitting (238), into two cases.
% 20.15/5.38 |-Branch one:
% 20.15/5.38 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (239) yields:
% 20.15/5.38 | (240) all_0_9_9 = e3
% 20.15/5.38 | (241) all_0_12_12 = e3
% 20.15/5.38 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.38 |
% 20.15/5.38 | Combining equations (501,241) yields a new equation:
% 20.15/5.38 | (365) e3 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (365) can reduce 107 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (244) yields:
% 20.15/5.38 | (245) all_0_9_9 = e2
% 20.15/5.38 | (246) all_0_12_12 = e2
% 20.15/5.38 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.38 |
% 20.15/5.38 | Combining equations (501,246) yields a new equation:
% 20.15/5.38 | (490) e2 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (490) can reduce 137 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (249) yields:
% 20.15/5.38 | (250) all_0_10_10 = e3
% 20.15/5.38 | (251) all_0_16_16 = e3
% 20.15/5.38 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.38 |
% 20.15/5.38 | Combining equations (250,410) yields a new equation:
% 20.15/5.38 | (364) e3 = e0
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 364 yields:
% 20.15/5.38 | (365) e3 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (365) can reduce 107 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (254) yields:
% 20.15/5.38 | (255) all_0_10_10 = e1
% 20.15/5.38 | (256) all_0_16_16 = e1
% 20.15/5.38 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.38 |
% 20.15/5.38 | Combining equations (255,410) yields a new equation:
% 20.15/5.38 | (371) e1 = e0
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 371 yields:
% 20.15/5.38 | (372) e1 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (372) can reduce 90 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (259) yields:
% 20.15/5.38 | (260) all_0_11_11 = e3
% 20.15/5.38 | (261) all_0_20_20 = e3
% 20.15/5.38 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Equations (182) can reduce 262 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (264) yields:
% 20.15/5.38 | (265) all_0_11_11 = e0
% 20.15/5.38 | (266) all_0_20_20 = e0
% 20.15/5.38 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.38 |
% 20.15/5.38 | Equations (266) can reduce 186 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (269) yields:
% 20.15/5.38 | (270) all_0_14_14 = e2
% 20.15/5.38 | (271) all_0_17_17 = e2
% 20.15/5.38 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.38 |
% 20.15/5.38 | Combining equations (482,271) yields a new equation:
% 20.15/5.38 | (490) e2 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (490) can reduce 137 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (274) yields:
% 20.15/5.38 | (275) all_0_14_14 = e1
% 20.15/5.38 | (276) all_0_17_17 = e1
% 20.15/5.38 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.38 |
% 20.15/5.38 | Combining equations (482,276) yields a new equation:
% 20.15/5.38 | (372) e1 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (372) can reduce 90 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (279) yields:
% 20.15/5.38 | (280) all_0_15_15 = e2
% 20.15/5.38 | (281) all_0_21_21 = e2
% 20.15/5.38 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Combining equations (419,280) yields a new equation:
% 20.15/5.38 | (532) e3 = e2
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 532 yields:
% 20.15/5.38 | (533) e3 = e2
% 20.15/5.38 |
% 20.15/5.38 | Equations (533) can reduce 69 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (284) yields:
% 20.15/5.38 | (285) all_0_15_15 = e0
% 20.15/5.38 | (286) all_0_21_21 = e0
% 20.15/5.38 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.38 |
% 20.15/5.38 | Combining equations (419,285) yields a new equation:
% 20.15/5.38 | (364) e3 = e0
% 20.15/5.38 |
% 20.15/5.38 | Simplifying 364 yields:
% 20.15/5.38 | (365) e3 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (365) can reduce 107 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (289) yields:
% 20.15/5.38 | (290) all_0_19_19 = e1
% 20.15/5.38 | (291) all_0_22_22 = e1
% 20.15/5.38 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.38 |
% 20.15/5.38 | Equations (182) can reduce 262 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.15/5.38 |
% 20.15/5.38 | Applying alpha-rule on (294) yields:
% 20.15/5.38 | (295) all_0_19_19 = e0
% 20.15/5.38 | (296) all_0_22_22 = e0
% 20.15/5.38 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.38 |
% 20.15/5.38 | Equations (296) can reduce 188 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (486) ~ (all_0_17_17 = e0)
% 20.15/5.38 | (286) all_0_21_21 = e0
% 20.15/5.38 |
% 20.15/5.38 | Equations (286) can reduce 187 to:
% 20.15/5.38 | (172) $false
% 20.15/5.38 |
% 20.15/5.38 |-The branch is then unsatisfiable
% 20.15/5.38 |-Branch two:
% 20.15/5.38 | (599) ~ (all_0_10_10 = e0)
% 20.15/5.38 | (1145) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (54), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (320) all_0_16_16 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (320) can reduce 480 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (480) ~ (all_0_16_16 = e0)
% 20.15/5.39 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (481), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (482) all_0_17_17 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (482) can reduce 13 to:
% 20.15/5.39 | (842) ~ (all_0_9_9 = e0)
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (70), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (613) all_0_8_8 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (613) can reduce 197 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (197) ~ (all_0_8_8 = e0)
% 20.15/5.39 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (617), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (672) all_0_9_9 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (672) can reduce 842 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (842) ~ (all_0_9_9 = e0)
% 20.15/5.39 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (847), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (410) all_0_10_10 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (410) can reduce 599 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (599) ~ (all_0_10_10 = e0)
% 20.15/5.39 | (265) all_0_11_11 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (265) can reduce 183 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (486) ~ (all_0_17_17 = e0)
% 20.15/5.39 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (487), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (300) all_0_18_18 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (300) can reduce 215 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (215) ~ (all_0_18_18 = e0)
% 20.15/5.39 | (295) all_0_19_19 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (295) can reduce 185 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (300) all_0_18_18 = e0
% 20.15/5.39 | (290) all_0_19_19 = e1
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (300,9768) yields a new equation:
% 20.15/5.39 | (1335) all_0_5_5 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (300) can reduce 42 to:
% 20.15/5.39 | (599) ~ (all_0_10_10 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Equations (290) can reduce 115 to:
% 20.15/5.39 | (600) ~ (all_0_11_11 = e1)
% 20.15/5.39 |
% 20.15/5.39 | Equations (290) can reduce 32 to:
% 20.15/5.39 | (227) ~ (all_0_16_16 = e1)
% 20.15/5.39 |
% 20.15/5.39 | Equations (300) can reduce 214 to:
% 20.15/5.39 | (189) ~ (e3 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Simplifying 189 yields:
% 20.15/5.39 | (107) ~ (e3 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Equations (290) can reduce 469 to:
% 20.15/5.39 | (438) ~ (e3 = e1)
% 20.15/5.39 |
% 20.15/5.39 | Simplifying 438 yields:
% 20.15/5.39 | (147) ~ (e3 = e1)
% 20.15/5.39 |
% 20.15/5.39 | From (300) and (9769) follows:
% 20.15/5.39 | (1336) op(e0, e2) = all_0_4_4
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (70), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (613) all_0_8_8 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (613) can reduce 197 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (197) ~ (all_0_8_8 = e0)
% 20.15/5.39 | (617) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (617), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (672) all_0_9_9 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (672) can reduce 97 to:
% 20.15/5.39 | (1632) ~ (all_0_11_11 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Simplifying 1632 yields:
% 20.15/5.39 | (183) ~ (all_0_11_11 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Equations (672) can reduce 13 to:
% 20.15/5.39 | (3255) ~ (all_0_17_17 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Simplifying 3255 yields:
% 20.15/5.39 | (486) ~ (all_0_17_17 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Equations (672) can reduce 304 to:
% 20.15/5.39 | (193) ~ (e1 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Simplifying 193 yields:
% 20.15/5.39 | (90) ~ (e1 = e0)
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (119), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (260) all_0_11_11 = e3
% 20.15/5.39 |
% 20.15/5.39 | Equations (260) can reduce 204 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (204) ~ (all_0_11_11 = e3)
% 20.15/5.39 | (612) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (612), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (635) all_0_11_11 = e2
% 20.15/5.39 |
% 20.15/5.39 | Equations (635) can reduce 204 to:
% 20.15/5.39 | (499) ~ (e3 = e2)
% 20.15/5.39 |
% 20.15/5.39 | Simplifying 499 yields:
% 20.15/5.39 | (69) ~ (e3 = e2)
% 20.15/5.39 |
% 20.15/5.39 | Equations (635) can reduce 600 to:
% 20.15/5.39 | (49) ~ (e2 = e1)
% 20.15/5.39 |
% 20.15/5.39 | Equations (635) can reduce 183 to:
% 20.15/5.39 | (137) ~ (e2 = e0)
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (164), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (7847) ~ (all_0_4_4 = e3)
% 20.15/5.39 |
% 20.15/5.39 | Instantiating formula (143) with e0, e2, all_0_4_4, all_0_21_21 and discharging atoms op(e0, e2) = all_0_4_4, op(e0, e2) = all_0_21_21, yields:
% 20.15/5.39 | (1338) all_0_4_4 = all_0_21_21
% 20.15/5.39 |
% 20.15/5.39 | Equations (1338) can reduce 7847 to:
% 20.15/5.39 | (1618) ~ (all_0_21_21 = e3)
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (134), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (417) all_0_21_21 = e3
% 20.15/5.39 |
% 20.15/5.39 | Equations (417) can reduce 1618 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (1618) ~ (all_0_21_21 = e3)
% 20.15/5.39 | (4204) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (133), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (240) all_0_9_9 = e3
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (240,672) yields a new equation:
% 20.15/5.39 | (364) e3 = e0
% 20.15/5.39 |
% 20.15/5.39 | Simplifying 364 yields:
% 20.15/5.39 | (365) e3 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (365) can reduce 107 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (200) ~ (all_0_9_9 = e3)
% 20.15/5.39 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (319), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (336) all_0_13_13 = e3
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (679,336) yields a new equation:
% 20.15/5.39 | (414) e3 = e1
% 20.15/5.39 |
% 20.15/5.39 | Equations (414) can reduce 147 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (216) ~ (all_0_13_13 = e3)
% 20.15/5.39 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (402), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (413) all_0_17_17 = e3
% 20.15/5.39 |
% 20.15/5.39 | Equations (413) can reduce 148 to:
% 20.15/5.39 | (208) ~ (all_0_16_16 = e3)
% 20.15/5.39 |
% 20.15/5.39 | Equations (413) can reduce 486 to:
% 20.15/5.39 | (107) ~ (e3 = e0)
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (83), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (251) all_0_16_16 = e3
% 20.15/5.39 |
% 20.15/5.39 | Equations (251) can reduce 208 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (208) ~ (all_0_16_16 = e3)
% 20.15/5.39 | (665) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (152), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (229), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (230), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (231), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (232), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (233), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (234), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (235), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (236), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (237), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.15/5.39 |
% 20.15/5.39 +-Applying beta-rule and splitting (238), into two cases.
% 20.15/5.39 |-Branch one:
% 20.15/5.39 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.15/5.39 |
% 20.15/5.39 | Applying alpha-rule on (239) yields:
% 20.15/5.39 | (240) all_0_9_9 = e3
% 20.15/5.39 | (241) all_0_12_12 = e3
% 20.15/5.39 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (501,241) yields a new equation:
% 20.15/5.39 | (365) e3 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (365) can reduce 107 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.15/5.39 |
% 20.15/5.39 | Applying alpha-rule on (244) yields:
% 20.15/5.39 | (245) all_0_9_9 = e2
% 20.15/5.39 | (246) all_0_12_12 = e2
% 20.15/5.39 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (501,246) yields a new equation:
% 20.15/5.39 | (490) e2 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (490) can reduce 137 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.15/5.39 |
% 20.15/5.39 | Applying alpha-rule on (249) yields:
% 20.15/5.39 | (250) all_0_10_10 = e3
% 20.15/5.39 | (251) all_0_16_16 = e3
% 20.15/5.39 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.39 |
% 20.15/5.39 | Equations (251) can reduce 208 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.15/5.39 |
% 20.15/5.39 | Applying alpha-rule on (254) yields:
% 20.15/5.39 | (255) all_0_10_10 = e1
% 20.15/5.39 | (256) all_0_16_16 = e1
% 20.15/5.39 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.39 |
% 20.15/5.39 | Equations (256) can reduce 227 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Applying alpha-rule on (259) yields:
% 20.15/5.39 | (260) all_0_11_11 = e3
% 20.15/5.39 | (261) all_0_20_20 = e3
% 20.15/5.39 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (260,635) yields a new equation:
% 20.15/5.39 | (532) e3 = e2
% 20.15/5.39 |
% 20.15/5.39 | Simplifying 532 yields:
% 20.15/5.39 | (533) e3 = e2
% 20.15/5.39 |
% 20.15/5.39 | Equations (533) can reduce 69 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.15/5.39 |
% 20.15/5.39 | Applying alpha-rule on (264) yields:
% 20.15/5.39 | (265) all_0_11_11 = e0
% 20.15/5.39 | (266) all_0_20_20 = e0
% 20.15/5.39 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (265,635) yields a new equation:
% 20.15/5.39 | (490) e2 = e0
% 20.15/5.39 |
% 20.15/5.39 | Equations (490) can reduce 137 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.15/5.39 |
% 20.15/5.39 | Applying alpha-rule on (269) yields:
% 20.15/5.39 | (270) all_0_14_14 = e2
% 20.15/5.39 | (271) all_0_17_17 = e2
% 20.15/5.39 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (413,271) yields a new equation:
% 20.15/5.39 | (532) e3 = e2
% 20.15/5.39 |
% 20.15/5.39 | Simplifying 532 yields:
% 20.15/5.39 | (533) e3 = e2
% 20.15/5.39 |
% 20.15/5.39 | Equations (533) can reduce 69 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.15/5.39 |
% 20.15/5.39 | Applying alpha-rule on (274) yields:
% 20.15/5.39 | (275) all_0_14_14 = e1
% 20.15/5.39 | (276) all_0_17_17 = e1
% 20.15/5.39 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (275,270) yields a new equation:
% 20.15/5.39 | (388) e2 = e1
% 20.15/5.39 |
% 20.15/5.39 | Equations (388) can reduce 49 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Applying alpha-rule on (279) yields:
% 20.15/5.39 | (280) all_0_15_15 = e2
% 20.15/5.39 | (281) all_0_21_21 = e2
% 20.15/5.39 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.39 |
% 20.15/5.39 | Combining equations (280,419) yields a new equation:
% 20.15/5.39 | (533) e3 = e2
% 20.15/5.39 |
% 20.15/5.39 | Equations (533) can reduce 69 to:
% 20.15/5.39 | (172) $false
% 20.15/5.39 |
% 20.15/5.39 |-The branch is then unsatisfiable
% 20.15/5.39 |-Branch two:
% 20.15/5.39 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.15/5.39 |
% 20.15/5.40 | Applying alpha-rule on (284) yields:
% 20.15/5.40 | (285) all_0_15_15 = e0
% 20.15/5.40 | (286) all_0_21_21 = e0
% 20.15/5.40 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.40 |
% 20.15/5.40 | Combining equations (285,419) yields a new equation:
% 20.15/5.40 | (365) e3 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (365) can reduce 107 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Applying alpha-rule on (289) yields:
% 20.15/5.40 | (290) all_0_19_19 = e1
% 20.15/5.40 | (291) all_0_22_22 = e1
% 20.15/5.40 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Equations (182) can reduce 262 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.15/5.40 |
% 20.15/5.40 | Applying alpha-rule on (294) yields:
% 20.15/5.40 | (295) all_0_19_19 = e0
% 20.15/5.40 | (296) all_0_22_22 = e0
% 20.15/5.40 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.40 |
% 20.15/5.40 | Combining equations (295,290) yields a new equation:
% 20.15/5.40 | (372) e1 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (372) can reduce 90 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (416) ~ (all_0_17_17 = e3)
% 20.15/5.40 | (417) all_0_21_21 = e3
% 20.15/5.40 |
% 20.15/5.40 | Equations (417) can reduce 1618 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (8078) all_0_4_4 = e3
% 20.15/5.40 | (10080) ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e1)
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (10080), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (1467) ~ (all_0_5_5 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Equations (1335) can reduce 1467 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (1335) all_0_5_5 = e0
% 20.15/5.40 | (167) ~ (all_0_13_13 = e1)
% 20.15/5.40 |
% 20.15/5.40 | Equations (679) can reduce 167 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (953) ~ (all_0_11_11 = e2)
% 20.15/5.40 | (954) all_0_11_11 = e1 | all_0_11_11 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (954), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (437) all_0_11_11 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (437) can reduce 600 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (600) ~ (all_0_11_11 = e1)
% 20.15/5.40 | (265) all_0_11_11 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (265) can reduce 183 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (842) ~ (all_0_9_9 = e0)
% 20.15/5.40 | (847) all_0_10_10 = e0 | all_0_11_11 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (847), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (410) all_0_10_10 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (410) can reduce 599 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (599) ~ (all_0_10_10 = e0)
% 20.15/5.40 | (265) all_0_11_11 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (265) can reduce 183 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (505) ~ (all_0_12_12 = e0)
% 20.15/5.40 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (89), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (241) all_0_12_12 = e3
% 20.15/5.40 |
% 20.15/5.40 | Equations (241) can reduce 206 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (206) ~ (all_0_12_12 = e3)
% 20.15/5.40 | (2185) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (2185), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (246) all_0_12_12 = e2
% 20.15/5.40 |
% 20.15/5.40 | Equations (246) can reduce 711 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (711) ~ (all_0_12_12 = e2)
% 20.15/5.40 | (2189) all_0_12_12 = e1 | all_0_12_12 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (2189), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (657) all_0_12_12 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (657) can reduce 660 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (660) ~ (all_0_12_12 = e1)
% 20.15/5.40 | (501) all_0_12_12 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (501) can reduce 505 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (329) ~ (all_0_15_15 = e3)
% 20.15/5.40 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (422), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (280) all_0_15_15 = e2
% 20.15/5.40 |
% 20.15/5.40 | Equations (280) can reduce 1585 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (1585) ~ (all_0_15_15 = e2)
% 20.15/5.40 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (1586), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (836) all_0_15_15 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (836) can reduce 602 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (602) ~ (all_0_15_15 = e1)
% 20.15/5.40 | (285) all_0_15_15 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (285) can reduce 184 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (171) all_0_23_23 = e3
% 20.15/5.40 | (266) all_0_20_20 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (171) can reduce 67 to:
% 20.15/5.40 | (204) ~ (all_0_11_11 = e3)
% 20.15/5.40 |
% 20.15/5.40 | Equations (171) can reduce 46 to:
% 20.15/5.40 | (329) ~ (all_0_15_15 = e3)
% 20.15/5.40 |
% 20.15/5.40 | Equations (266) can reduce 151 to:
% 20.15/5.40 | (480) ~ (all_0_16_16 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Equations (171) can reduce 7 to:
% 20.15/5.40 | (469) ~ (all_0_19_19 = e3)
% 20.15/5.40 |
% 20.15/5.40 | Equations (266) can reduce 75 to:
% 20.15/5.40 | (991) ~ (all_0_21_21 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Simplifying 991 yields:
% 20.15/5.40 | (187) ~ (all_0_21_21 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Equations (266) can reduce 87 to:
% 20.15/5.40 | (514) ~ (all_0_22_22 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Simplifying 514 yields:
% 20.15/5.40 | (188) ~ (all_0_22_22 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Equations (171) can reduce 55 to:
% 20.15/5.40 | (881) ~ (all_0_22_22 = e3)
% 20.15/5.40 |
% 20.15/5.40 | Equations (171) can reduce 169 to:
% 20.15/5.40 | (69) ~ (e3 = e2)
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (105), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (691) all_0_20_20 = e1
% 20.15/5.40 |
% 20.15/5.40 | Combining equations (691,266) yields a new equation:
% 20.15/5.40 | (371) e1 = e0
% 20.15/5.40 |
% 20.15/5.40 | Simplifying 371 yields:
% 20.15/5.40 | (372) e1 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (372) can reduce 90 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (839) ~ (all_0_20_20 = e1)
% 20.15/5.40 | (5132) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (89), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (241) all_0_12_12 = e3
% 20.15/5.40 |
% 20.15/5.40 | Equations (241) can reduce 35 to:
% 20.15/5.40 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.40 |
% 20.15/5.40 | Equations (241) can reduce 162 to:
% 20.15/5.40 | (1123) ~ (all_0_15_15 = e3)
% 20.15/5.40 |
% 20.15/5.40 | Simplifying 1123 yields:
% 20.15/5.40 | (329) ~ (all_0_15_15 = e3)
% 20.15/5.40 |
% 20.15/5.40 | Equations (241) can reduce 660 to:
% 20.15/5.40 | (147) ~ (e3 = e1)
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (5132), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (1292) all_0_21_21 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (1292) can reduce 312 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (312) ~ (all_0_21_21 = e1)
% 20.15/5.40 | (5179) all_0_22_22 = e1 | all_0_23_23 = e1
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (5179), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (291) all_0_22_22 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (291) can reduce 101 to:
% 20.15/5.40 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.40 |
% 20.15/5.40 | Equations (291) can reduce 933 to:
% 20.15/5.40 | (307) ~ (e2 = e1)
% 20.15/5.40 |
% 20.15/5.40 | Simplifying 307 yields:
% 20.15/5.40 | (49) ~ (e2 = e1)
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (163), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (218) all_0_18_18 = e3
% 20.15/5.40 |
% 20.15/5.40 | Equations (218) can reduce 214 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (214) ~ (all_0_18_18 = e3)
% 20.15/5.40 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (221), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (222) all_0_18_18 = e2
% 20.15/5.40 |
% 20.15/5.40 | Equations (222) can reduce 217 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (217) ~ (all_0_18_18 = e2)
% 20.15/5.40 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (225), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (226) all_0_18_18 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (226) can reduce 252 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.40 | (300) all_0_18_18 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (28), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (419) all_0_15_15 = e3
% 20.15/5.40 |
% 20.15/5.40 | Equations (419) can reduce 329 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (329) ~ (all_0_15_15 = e3)
% 20.15/5.40 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (422), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (280) all_0_15_15 = e2
% 20.15/5.40 |
% 20.15/5.40 | Equations (280) can reduce 1585 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (1585) ~ (all_0_15_15 = e2)
% 20.15/5.40 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (1586), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (836) all_0_15_15 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (836) can reduce 602 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (602) ~ (all_0_15_15 = e1)
% 20.15/5.40 | (285) all_0_15_15 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (285) can reduce 149 to:
% 20.15/5.40 | (321) ~ (all_0_19_19 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Simplifying 321 yields:
% 20.15/5.40 | (185) ~ (all_0_19_19 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Equations (285) can reduce 329 to:
% 20.15/5.40 | (189) ~ (e3 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Simplifying 189 yields:
% 20.15/5.40 | (107) ~ (e3 = e0)
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (77), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (215) ~ (all_0_18_18 = e0)
% 20.15/5.40 |
% 20.15/5.40 | Equations (300) can reduce 215 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (300) all_0_18_18 = e0
% 20.15/5.40 | (290) all_0_19_19 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (290) can reduce 185 to:
% 20.15/5.40 | (90) ~ (e1 = e0)
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (51), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (198) all_0_8_8 = e3
% 20.15/5.40 |
% 20.15/5.40 | Equations (198) can reduce 247 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.40 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (4222), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (727) all_0_13_13 = e2
% 20.15/5.40 |
% 20.15/5.40 | Combining equations (679,727) yields a new equation:
% 20.15/5.40 | (388) e2 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (388) can reduce 49 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.40 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (4238), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (226) all_0_18_18 = e1
% 20.15/5.40 |
% 20.15/5.40 | Combining equations (300,226) yields a new equation:
% 20.15/5.40 | (372) e1 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (372) can reduce 90 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.40 | (182) all_0_23_23 = e0
% 20.15/5.40 |
% 20.15/5.40 | Combining equations (171,182) yields a new equation:
% 20.15/5.40 | (364) e3 = e0
% 20.15/5.40 |
% 20.15/5.40 | Simplifying 364 yields:
% 20.15/5.40 | (365) e3 = e0
% 20.15/5.40 |
% 20.15/5.40 | Equations (365) can reduce 107 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (699) ~ (all_0_22_22 = e1)
% 20.15/5.40 | (179) all_0_23_23 = e1
% 20.15/5.40 |
% 20.15/5.40 | Combining equations (179,171) yields a new equation:
% 20.15/5.40 | (414) e3 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (414) can reduce 147 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (206) ~ (all_0_12_12 = e3)
% 20.15/5.40 | (2185) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (2185), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (246) all_0_12_12 = e2
% 20.15/5.40 |
% 20.15/5.40 | Equations (246) can reduce 711 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (711) ~ (all_0_12_12 = e2)
% 20.15/5.40 | (2189) all_0_12_12 = e1 | all_0_12_12 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (47), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (902) all_0_22_22 = e3
% 20.15/5.40 |
% 20.15/5.40 | Equations (902) can reduce 881 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (881) ~ (all_0_22_22 = e3)
% 20.15/5.40 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (905), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (725) all_0_22_22 = e2
% 20.15/5.40 |
% 20.15/5.40 | Equations (725) can reduce 933 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (933) ~ (all_0_22_22 = e2)
% 20.15/5.40 | (934) all_0_22_22 = e1 | all_0_22_22 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (934), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (291) all_0_22_22 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (291) can reduce 145 to:
% 20.15/5.40 | (394) ~ (all_0_10_10 = e1)
% 20.15/5.40 |
% 20.15/5.40 | Equations (291) can reduce 101 to:
% 20.15/5.40 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.40 |
% 20.15/5.40 | Equations (291) can reduce 933 to:
% 20.15/5.40 | (307) ~ (e2 = e1)
% 20.15/5.40 |
% 20.15/5.40 | Simplifying 307 yields:
% 20.15/5.40 | (49) ~ (e2 = e1)
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (23), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (250) all_0_10_10 = e3
% 20.15/5.40 |
% 20.15/5.40 | Equations (250) can reduce 59 to:
% 20.15/5.40 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (28), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (419) all_0_15_15 = e3
% 20.15/5.40 |
% 20.15/5.40 | Equations (419) can reduce 329 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (329) ~ (all_0_15_15 = e3)
% 20.15/5.40 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (422), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (280) all_0_15_15 = e2
% 20.15/5.40 |
% 20.15/5.40 | Equations (280) can reduce 1585 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.40 | (1585) ~ (all_0_15_15 = e2)
% 20.15/5.40 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 20.15/5.40 |
% 20.15/5.40 +-Applying beta-rule and splitting (1586), into two cases.
% 20.15/5.40 |-Branch one:
% 20.15/5.40 | (836) all_0_15_15 = e1
% 20.15/5.40 |
% 20.15/5.40 | Equations (836) can reduce 602 to:
% 20.15/5.40 | (172) $false
% 20.15/5.40 |
% 20.15/5.40 |-The branch is then unsatisfiable
% 20.15/5.40 |-Branch two:
% 20.15/5.41 | (602) ~ (all_0_15_15 = e1)
% 20.15/5.41 | (285) all_0_15_15 = e0
% 20.15/5.41 |
% 20.15/5.41 | Equations (285) can reduce 329 to:
% 20.15/5.41 | (189) ~ (e3 = e0)
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 189 yields:
% 20.15/5.41 | (107) ~ (e3 = e0)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (51), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (198) all_0_8_8 = e3
% 20.15/5.41 |
% 20.15/5.41 | Equations (198) can reduce 247 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.41 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (4222), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (727) all_0_13_13 = e2
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (679,727) yields a new equation:
% 20.15/5.41 | (388) e2 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (388) can reduce 49 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.41 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (4238), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (226) all_0_18_18 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (226) can reduce 252 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.41 | (182) all_0_23_23 = e0
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (182,171) yields a new equation:
% 20.15/5.41 | (365) e3 = e0
% 20.15/5.41 |
% 20.15/5.41 | Equations (365) can reduce 107 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (202) ~ (all_0_10_10 = e3)
% 20.15/5.41 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (890), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (440) all_0_14_14 = e3
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (270,440) yields a new equation:
% 20.15/5.41 | (533) e3 = e2
% 20.15/5.41 |
% 20.15/5.41 | Equations (533) can reduce 69 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (444) ~ (all_0_14_14 = e3)
% 20.15/5.41 | (915) all_0_18_18 = e3 | all_0_22_22 = e3
% 20.15/5.41 |
% 20.15/5.41 | Equations (270) can reduce 444 to:
% 20.15/5.41 | (499) ~ (e3 = e2)
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 499 yields:
% 20.15/5.41 | (69) ~ (e3 = e2)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (28), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (419) all_0_15_15 = e3
% 20.15/5.41 |
% 20.15/5.41 | Equations (419) can reduce 329 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (329) ~ (all_0_15_15 = e3)
% 20.15/5.41 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (422), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (280) all_0_15_15 = e2
% 20.15/5.41 |
% 20.15/5.41 | Equations (280) can reduce 1585 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (1585) ~ (all_0_15_15 = e2)
% 20.15/5.41 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (1586), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (836) all_0_15_15 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (836) can reduce 602 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (602) ~ (all_0_15_15 = e1)
% 20.15/5.41 | (285) all_0_15_15 = e0
% 20.15/5.41 |
% 20.15/5.41 | Equations (285) can reduce 98 to:
% 20.15/5.41 | (183) ~ (all_0_11_11 = e0)
% 20.15/5.41 |
% 20.15/5.41 | Equations (285) can reduce 1585 to:
% 20.15/5.41 | (191) ~ (e2 = e0)
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 191 yields:
% 20.15/5.41 | (137) ~ (e2 = e0)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (95), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (195) ~ (all_0_8_8 = e1)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (155), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (423) all_0_8_8 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (423) can reduce 195 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (195) ~ (all_0_8_8 = e1)
% 20.15/5.41 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (427), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (428) all_0_9_9 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (428) can reduce 304 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (304) ~ (all_0_9_9 = e1)
% 20.15/5.41 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (431), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (255) all_0_10_10 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (255) can reduce 394 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (394) ~ (all_0_10_10 = e1)
% 20.15/5.41 | (437) all_0_11_11 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (437) can reduce 39 to:
% 20.15/5.41 | (195) ~ (all_0_8_8 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Equations (437) can reduce 52 to:
% 20.15/5.41 | (394) ~ (all_0_10_10 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Equations (437) can reduce 204 to:
% 20.15/5.41 | (438) ~ (e3 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 438 yields:
% 20.15/5.41 | (147) ~ (e3 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Equations (437) can reduce 183 to:
% 20.15/5.41 | (90) ~ (e1 = e0)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (144), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (241) all_0_12_12 = e3
% 20.15/5.41 |
% 20.15/5.41 | Equations (241) can reduce 206 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (206) ~ (all_0_12_12 = e3)
% 20.15/5.41 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (335), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (336) all_0_13_13 = e3
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (679,336) yields a new equation:
% 20.15/5.41 | (414) e3 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (414) can reduce 147 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (216) ~ (all_0_13_13 = e3)
% 20.15/5.41 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 20.15/5.41 |
% 20.15/5.41 | Equations (679) can reduce 216 to:
% 20.15/5.41 | (438) ~ (e3 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 438 yields:
% 20.15/5.41 | (147) ~ (e3 = e1)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (132), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (687) all_0_20_20 = e2
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (266,687) yields a new equation:
% 20.15/5.41 | (490) e2 = e0
% 20.15/5.41 |
% 20.15/5.41 | Equations (490) can reduce 137 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (668) ~ (all_0_20_20 = e2)
% 20.15/5.41 | (1798) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 20.15/5.41 |
% 20.15/5.41 | Equations (266) can reduce 668 to:
% 20.15/5.41 | (191) ~ (e2 = e0)
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 191 yields:
% 20.15/5.41 | (137) ~ (e2 = e0)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (135), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (423) all_0_8_8 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (423) can reduce 195 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (195) ~ (all_0_8_8 = e1)
% 20.15/5.41 | (875) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (875), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (657) all_0_12_12 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (657) can reduce 660 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (660) ~ (all_0_12_12 = e1)
% 20.15/5.41 | (895) all_0_16_16 = e1 | all_0_20_20 = e1
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (895), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (256) all_0_16_16 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (256) can reduce 32 to:
% 20.15/5.41 | (309) ~ (all_0_19_19 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 309 yields:
% 20.15/5.41 | (310) ~ (all_0_19_19 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Equations (256) can reduce 480 to:
% 20.15/5.41 | (90) ~ (e1 = e0)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (163), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (218) all_0_18_18 = e3
% 20.15/5.41 |
% 20.15/5.41 | Equations (218) can reduce 214 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (214) ~ (all_0_18_18 = e3)
% 20.15/5.41 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (20), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (251) all_0_16_16 = e3
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (256,251) yields a new equation:
% 20.15/5.41 | (414) e3 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (414) can reduce 147 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (208) ~ (all_0_16_16 = e3)
% 20.15/5.41 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 20.15/5.41 |
% 20.15/5.41 | Equations (256) can reduce 208 to:
% 20.15/5.41 | (438) ~ (e3 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 438 yields:
% 20.15/5.41 | (147) ~ (e3 = e1)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (152), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (229), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (230), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (231), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (232), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (233), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (234), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (235), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (236), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (237), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (238), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (239) yields:
% 20.15/5.41 | (240) all_0_9_9 = e3
% 20.15/5.41 | (241) all_0_12_12 = e3
% 20.15/5.41 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.41 |
% 20.15/5.41 | Equations (241) can reduce 206 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (244) yields:
% 20.15/5.41 | (245) all_0_9_9 = e2
% 20.15/5.41 | (246) all_0_12_12 = e2
% 20.15/5.41 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.41 |
% 20.15/5.41 | Equations (246) can reduce 711 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (249) yields:
% 20.15/5.41 | (250) all_0_10_10 = e3
% 20.15/5.41 | (251) all_0_16_16 = e3
% 20.15/5.41 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (256,251) yields a new equation:
% 20.15/5.41 | (414) e3 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (414) can reduce 147 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (254) yields:
% 20.15/5.41 | (255) all_0_10_10 = e1
% 20.15/5.41 | (256) all_0_16_16 = e1
% 20.15/5.41 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.41 |
% 20.15/5.41 | Equations (255) can reduce 394 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (259) yields:
% 20.15/5.41 | (260) all_0_11_11 = e3
% 20.15/5.41 | (261) all_0_20_20 = e3
% 20.15/5.41 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (260,437) yields a new equation:
% 20.15/5.41 | (441) e3 = e1
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 441 yields:
% 20.15/5.41 | (414) e3 = e1
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (266,261) yields a new equation:
% 20.15/5.41 | (365) e3 = e0
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (365,414) yields a new equation:
% 20.15/5.41 | (372) e1 = e0
% 20.15/5.41 |
% 20.15/5.41 | Equations (372) can reduce 90 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (264) yields:
% 20.15/5.41 | (265) all_0_11_11 = e0
% 20.15/5.41 | (266) all_0_20_20 = e0
% 20.15/5.41 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (265,437) yields a new equation:
% 20.15/5.41 | (372) e1 = e0
% 20.15/5.41 |
% 20.15/5.41 | Equations (372) can reduce 90 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (269) yields:
% 20.15/5.41 | (270) all_0_14_14 = e2
% 20.15/5.41 | (271) all_0_17_17 = e2
% 20.15/5.41 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (648), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (413) all_0_17_17 = e3
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (271,413) yields a new equation:
% 20.15/5.41 | (533) e3 = e2
% 20.15/5.41 |
% 20.15/5.41 | Equations (533) can reduce 69 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (416) ~ (all_0_17_17 = e3)
% 20.15/5.41 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 20.15/5.41 |
% 20.15/5.41 +-Applying beta-rule and splitting (862), into two cases.
% 20.15/5.41 |-Branch one:
% 20.15/5.41 | (218) all_0_18_18 = e3
% 20.15/5.41 |
% 20.15/5.41 | Equations (218) can reduce 214 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (214) ~ (all_0_18_18 = e3)
% 20.15/5.41 | (327) all_0_19_19 = e3
% 20.15/5.41 |
% 20.15/5.41 | Equations (327) can reduce 469 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (274) yields:
% 20.15/5.41 | (275) all_0_14_14 = e1
% 20.15/5.41 | (276) all_0_17_17 = e1
% 20.15/5.41 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (275,270) yields a new equation:
% 20.15/5.41 | (388) e2 = e1
% 20.15/5.41 |
% 20.15/5.41 | Equations (388) can reduce 49 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (279) yields:
% 20.15/5.41 | (280) all_0_15_15 = e2
% 20.15/5.41 | (281) all_0_21_21 = e2
% 20.15/5.41 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.41 |
% 20.15/5.41 | Combining equations (280,285) yields a new equation:
% 20.15/5.41 | (489) e2 = e0
% 20.15/5.41 |
% 20.15/5.41 | Simplifying 489 yields:
% 20.15/5.41 | (490) e2 = e0
% 20.15/5.41 |
% 20.15/5.41 | Equations (490) can reduce 137 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.15/5.41 |
% 20.15/5.41 | Applying alpha-rule on (284) yields:
% 20.15/5.41 | (285) all_0_15_15 = e0
% 20.15/5.41 | (286) all_0_21_21 = e0
% 20.15/5.41 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.41 |
% 20.15/5.41 | Equations (286) can reduce 187 to:
% 20.15/5.41 | (172) $false
% 20.15/5.41 |
% 20.15/5.41 |-The branch is then unsatisfiable
% 20.15/5.41 |-Branch two:
% 20.15/5.41 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Applying alpha-rule on (289) yields:
% 20.15/5.42 | (290) all_0_19_19 = e1
% 20.15/5.42 | (291) all_0_22_22 = e1
% 20.15/5.42 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Equations (290) can reduce 310 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.15/5.42 |
% 20.15/5.42 | Applying alpha-rule on (294) yields:
% 20.15/5.42 | (295) all_0_19_19 = e0
% 20.15/5.42 | (296) all_0_22_22 = e0
% 20.15/5.42 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.42 |
% 20.15/5.42 | Combining equations (291,296) yields a new equation:
% 20.15/5.42 | (371) e1 = e0
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 371 yields:
% 20.15/5.42 | (372) e1 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (372) can reduce 90 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (227) ~ (all_0_16_16 = e1)
% 20.15/5.42 | (691) all_0_20_20 = e1
% 20.15/5.42 |
% 20.15/5.42 | Combining equations (266,691) yields a new equation:
% 20.15/5.42 | (372) e1 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (372) can reduce 90 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (423) all_0_8_8 = e1
% 20.15/5.42 | (250) all_0_10_10 = e3
% 20.15/5.42 |
% 20.15/5.42 | Equations (250) can reduce 202 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (699) ~ (all_0_22_22 = e1)
% 20.15/5.42 | (296) all_0_22_22 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (296) can reduce 188 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (175) all_0_23_23 = e2
% 20.15/5.42 | (286) all_0_21_21 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (286) can reduce 17 to:
% 20.15/5.42 | (842) ~ (all_0_9_9 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Equations (175) can reduce 67 to:
% 20.15/5.42 | (953) ~ (all_0_11_11 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Equations (175) can reduce 46 to:
% 20.15/5.42 | (1585) ~ (all_0_15_15 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Equations (286) can reduce 154 to:
% 20.15/5.42 | (486) ~ (all_0_17_17 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Equations (175) can reduce 7 to:
% 20.15/5.42 | (314) ~ (all_0_19_19 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Equations (286) can reduce 75 to:
% 20.15/5.42 | (186) ~ (all_0_20_20 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Equations (175) can reduce 165 to:
% 20.15/5.42 | (668) ~ (all_0_20_20 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Equations (286) can reduce 131 to:
% 20.15/5.42 | (514) ~ (all_0_22_22 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 514 yields:
% 20.15/5.42 | (188) ~ (all_0_22_22 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Equations (286,175) can reduce 158 to:
% 20.15/5.42 | (191) ~ (e2 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 191 yields:
% 20.15/5.42 | (137) ~ (e2 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Equations (175) can reduce 55 to:
% 20.15/5.42 | (933) ~ (all_0_22_22 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Equations (175) can reduce 168 to:
% 20.15/5.42 | (49) ~ (e2 = e1)
% 20.15/5.42 |
% 20.15/5.42 | From (175)(175) and (78) follows:
% 20.15/5.42 | (5436) op(e2, e2) = all_0_1_1
% 20.15/5.42 |
% 20.15/5.42 | Instantiating formula (143) with e2, e2, all_0_1_1, e1 and discharging atoms op(e2, e2) = all_0_1_1, op(e2, e2) = e1, yields:
% 20.15/5.42 | (4059) all_0_1_1 = e1
% 20.15/5.42 |
% 20.15/5.42 | From (4059) and (29) follows:
% 20.15/5.42 | (4078) op(e1, e0) = all_0_0_0
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (37), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (8656) ~ (all_0_0_0 = e3)
% 20.15/5.42 |
% 20.15/5.42 | Instantiating formula (143) with e1, e0, all_0_0_0, all_0_19_19 and discharging atoms op(e1, e0) = all_0_0_0, op(e1, e0) = all_0_19_19, yields:
% 20.15/5.42 | (4080) all_0_0_0 = all_0_19_19
% 20.15/5.42 |
% 20.15/5.42 | Equations (4080) can reduce 8656 to:
% 20.15/5.42 | (469) ~ (all_0_19_19 = e3)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (124), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (197) ~ (all_0_8_8 = e0)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (140), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (196) ~ (all_0_8_8 = e2)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (99), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (1100) all_0_8_8 = e2
% 20.15/5.42 |
% 20.15/5.42 | Equations (1100) can reduce 196 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (196) ~ (all_0_8_8 = e2)
% 20.15/5.42 | (3271) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (82), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (1100) all_0_8_8 = e2
% 20.15/5.42 |
% 20.15/5.42 | Equations (1100) can reduce 196 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (196) ~ (all_0_8_8 = e2)
% 20.15/5.42 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (3271), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (246) all_0_12_12 = e2
% 20.15/5.42 |
% 20.15/5.42 | Equations (246) can reduce 711 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (711) ~ (all_0_12_12 = e2)
% 20.15/5.42 | (3275) all_0_16_16 = e2 | all_0_20_20 = e2
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (1193), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (245) all_0_9_9 = e2
% 20.15/5.42 |
% 20.15/5.42 | Equations (245) can reduce 79 to:
% 20.15/5.42 | (6034) ~ (all_0_10_10 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 6034 yields:
% 20.15/5.42 | (305) ~ (all_0_10_10 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Equations (245) can reduce 304 to:
% 20.15/5.42 | (49) ~ (e2 = e1)
% 20.15/5.42 |
% 20.15/5.42 | Equations (245) can reduce 842 to:
% 20.15/5.42 | (137) ~ (e2 = e0)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (133), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (240) all_0_9_9 = e3
% 20.15/5.42 |
% 20.15/5.42 | Combining equations (240,245) yields a new equation:
% 20.15/5.42 | (532) e3 = e2
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 532 yields:
% 20.15/5.42 | (533) e3 = e2
% 20.15/5.42 |
% 20.15/5.42 | Equations (533) can reduce 69 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (200) ~ (all_0_9_9 = e3)
% 20.15/5.42 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (319), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (336) all_0_13_13 = e3
% 20.15/5.42 |
% 20.15/5.42 | Combining equations (679,336) yields a new equation:
% 20.15/5.42 | (414) e3 = e1
% 20.15/5.42 |
% 20.15/5.42 | Equations (414) can reduce 147 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (216) ~ (all_0_13_13 = e3)
% 20.15/5.42 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (402), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (413) all_0_17_17 = e3
% 20.15/5.42 |
% 20.15/5.42 | Equations (413) can reduce 148 to:
% 20.15/5.42 | (208) ~ (all_0_16_16 = e3)
% 20.15/5.42 |
% 20.15/5.42 | Equations (413) can reduce 150 to:
% 20.15/5.42 | (1125) ~ (all_0_19_19 = e3)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 1125 yields:
% 20.15/5.42 | (469) ~ (all_0_19_19 = e3)
% 20.15/5.42 |
% 20.15/5.42 | Equations (413) can reduce 228 to:
% 20.15/5.42 | (147) ~ (e3 = e1)
% 20.15/5.42 |
% 20.15/5.42 | Equations (413) can reduce 486 to:
% 20.15/5.42 | (107) ~ (e3 = e0)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (19), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (666) all_0_16_16 = e2
% 20.15/5.42 |
% 20.15/5.42 | Equations (666) can reduce 104 to:
% 20.15/5.42 | (196) ~ (all_0_8_8 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Equations (666) can reduce 71 to:
% 20.15/5.42 | (711) ~ (all_0_12_12 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Equations (666) can reduce 108 to:
% 20.15/5.42 | (3278) ~ (all_0_18_18 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 3278 yields:
% 20.15/5.42 | (217) ~ (all_0_18_18 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Equations (666) can reduce 208 to:
% 20.15/5.42 | (499) ~ (e3 = e2)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 499 yields:
% 20.15/5.42 | (69) ~ (e3 = e2)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (58), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (613) all_0_8_8 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (613) can reduce 197 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (197) ~ (all_0_8_8 = e0)
% 20.15/5.42 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (623), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (501) all_0_12_12 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (501) can reduce 162 to:
% 20.15/5.42 | (1149) ~ (all_0_15_15 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 1149 yields:
% 20.15/5.42 | (184) ~ (all_0_15_15 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Equations (501) can reduce 41 to:
% 20.15/5.42 | (323) ~ (all_0_20_20 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 323 yields:
% 20.15/5.42 | (186) ~ (all_0_20_20 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Equations (501) can reduce 711 to:
% 20.15/5.42 | (191) ~ (e2 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 191 yields:
% 20.15/5.42 | (137) ~ (e2 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Equations (501) can reduce 660 to:
% 20.15/5.42 | (193) ~ (e1 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 193 yields:
% 20.15/5.42 | (90) ~ (e1 = e0)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (144), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (241) all_0_12_12 = e3
% 20.15/5.42 |
% 20.15/5.42 | Combining equations (501,241) yields a new equation:
% 20.15/5.42 | (365) e3 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (365) can reduce 107 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (206) ~ (all_0_12_12 = e3)
% 20.15/5.42 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 20.15/5.42 |
% 20.15/5.42 | Equations (501) can reduce 206 to:
% 20.15/5.42 | (189) ~ (e3 = e0)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 189 yields:
% 20.15/5.42 | (107) ~ (e3 = e0)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (106), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (260) all_0_11_11 = e3
% 20.15/5.42 |
% 20.15/5.42 | Equations (260) can reduce 39 to:
% 20.15/5.42 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.42 |
% 20.15/5.42 | Equations (260) can reduce 52 to:
% 20.15/5.42 | (202) ~ (all_0_10_10 = e3)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (94), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (198) all_0_8_8 = e3
% 20.15/5.42 |
% 20.15/5.42 | Equations (198) can reduce 247 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.42 | (1099) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (14), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (265) all_0_11_11 = e0
% 20.15/5.42 |
% 20.15/5.42 | Combining equations (260,265) yields a new equation:
% 20.15/5.42 | (364) e3 = e0
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 364 yields:
% 20.15/5.42 | (365) e3 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (365) can reduce 107 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (183) ~ (all_0_11_11 = e0)
% 20.15/5.42 | (10540) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (10540), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (285) all_0_15_15 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (285) can reduce 184 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (184) ~ (all_0_15_15 = e0)
% 20.15/5.42 | (10544) all_0_19_19 = e0 | all_0_23_23 = e0
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (10544), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (295) all_0_19_19 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (295) can reduce 123 to:
% 20.15/5.42 | (215) ~ (all_0_18_18 = e0)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (56), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (256) all_0_16_16 = e1
% 20.15/5.42 |
% 20.15/5.42 | Combining equations (666,256) yields a new equation:
% 20.15/5.42 | (716) e2 = e1
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 716 yields:
% 20.15/5.42 | (388) e2 = e1
% 20.15/5.42 |
% 20.15/5.42 | Equations (388) can reduce 49 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (227) ~ (all_0_16_16 = e1)
% 20.15/5.42 | (4193) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (4193), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (276) all_0_17_17 = e1
% 20.15/5.42 |
% 20.15/5.42 | Combining equations (413,276) yields a new equation:
% 20.15/5.42 | (441) e3 = e1
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 441 yields:
% 20.15/5.42 | (414) e3 = e1
% 20.15/5.42 |
% 20.15/5.42 | Equations (414) can reduce 147 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (228) ~ (all_0_17_17 = e1)
% 20.15/5.42 | (4279) all_0_18_18 = e1 | all_0_19_19 = e1
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (4279), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (226) all_0_18_18 = e1
% 20.15/5.42 |
% 20.15/5.42 | Equations (226) can reduce 42 to:
% 20.15/5.42 | (394) ~ (all_0_10_10 = e1)
% 20.15/5.42 |
% 20.15/5.42 | Equations (226) can reduce 101 to:
% 20.15/5.42 | (698) ~ (all_0_22_22 = e1)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 698 yields:
% 20.15/5.42 | (699) ~ (all_0_22_22 = e1)
% 20.15/5.42 |
% 20.15/5.42 | Equations (226) can reduce 217 to:
% 20.15/5.42 | (307) ~ (e2 = e1)
% 20.15/5.42 |
% 20.15/5.42 | Simplifying 307 yields:
% 20.15/5.42 | (49) ~ (e2 = e1)
% 20.15/5.42 |
% 20.15/5.42 | Equations (226) can reduce 215 to:
% 20.15/5.42 | (90) ~ (e1 = e0)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (105), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (691) all_0_20_20 = e1
% 20.15/5.42 |
% 20.15/5.42 | Equations (691) can reduce 166 to:
% 20.15/5.42 | (195) ~ (all_0_8_8 = e1)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (100), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (250) all_0_10_10 = e3
% 20.15/5.42 |
% 20.15/5.42 | Equations (250) can reduce 202 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (202) ~ (all_0_10_10 = e3)
% 20.15/5.42 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (398), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (403) all_0_10_10 = e2
% 20.15/5.42 |
% 20.15/5.42 | Equations (403) can reduce 305 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (305) ~ (all_0_10_10 = e2)
% 20.15/5.42 | (406) all_0_10_10 = e1 | all_0_10_10 = e0
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (406), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (255) all_0_10_10 = e1
% 20.15/5.42 |
% 20.15/5.42 | Equations (255) can reduce 394 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (394) ~ (all_0_10_10 = e1)
% 20.15/5.42 | (410) all_0_10_10 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (410) can reduce 59 to:
% 20.15/5.42 | (197) ~ (all_0_8_8 = e0)
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (1099), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (1100) all_0_8_8 = e2
% 20.15/5.42 |
% 20.15/5.42 | Equations (1100) can reduce 196 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (196) ~ (all_0_8_8 = e2)
% 20.15/5.42 | (1103) all_0_8_8 = e1 | all_0_8_8 = e0
% 20.15/5.42 |
% 20.15/5.42 +-Applying beta-rule and splitting (1103), into two cases.
% 20.15/5.42 |-Branch one:
% 20.15/5.42 | (423) all_0_8_8 = e1
% 20.15/5.42 |
% 20.15/5.42 | Equations (423) can reduce 195 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.42 |-Branch two:
% 20.15/5.42 | (195) ~ (all_0_8_8 = e1)
% 20.15/5.42 | (613) all_0_8_8 = e0
% 20.15/5.42 |
% 20.15/5.42 | Equations (613) can reduce 197 to:
% 20.15/5.42 | (172) $false
% 20.15/5.42 |
% 20.15/5.42 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (839) ~ (all_0_20_20 = e1)
% 20.15/5.43 | (5132) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (5132), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (1292) all_0_21_21 = e1
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (1292,286) yields a new equation:
% 20.15/5.43 | (371) e1 = e0
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 371 yields:
% 20.15/5.43 | (372) e1 = e0
% 20.15/5.43 |
% 20.15/5.43 | Equations (372) can reduce 90 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (312) ~ (all_0_21_21 = e1)
% 20.15/5.43 | (5179) all_0_22_22 = e1 | all_0_23_23 = e1
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (5179), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (291) all_0_22_22 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (291) can reduce 699 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (699) ~ (all_0_22_22 = e1)
% 20.15/5.43 | (179) all_0_23_23 = e1
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (175,179) yields a new equation:
% 20.15/5.43 | (716) e2 = e1
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 716 yields:
% 20.15/5.43 | (388) e2 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (388) can reduce 49 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.43 | (290) all_0_19_19 = e1
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (290,295) yields a new equation:
% 20.15/5.43 | (371) e1 = e0
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 371 yields:
% 20.15/5.43 | (372) e1 = e0
% 20.15/5.43 |
% 20.15/5.43 | Equations (372) can reduce 90 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (185) ~ (all_0_19_19 = e0)
% 20.15/5.43 | (182) all_0_23_23 = e0
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (182,175) yields a new equation:
% 20.15/5.43 | (490) e2 = e0
% 20.15/5.43 |
% 20.15/5.43 | Equations (490) can reduce 137 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (204) ~ (all_0_11_11 = e3)
% 20.15/5.43 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (152), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (229), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (230), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (231), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (232), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (233), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (234), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (235), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (236), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (237), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (238), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (239) yields:
% 20.15/5.43 | (240) all_0_9_9 = e3
% 20.15/5.43 | (241) all_0_12_12 = e3
% 20.15/5.43 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (240,245) yields a new equation:
% 20.15/5.43 | (532) e3 = e2
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 532 yields:
% 20.15/5.43 | (533) e3 = e2
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (501,241) yields a new equation:
% 20.15/5.43 | (365) e3 = e0
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (365,533) yields a new equation:
% 20.15/5.43 | (490) e2 = e0
% 20.15/5.43 |
% 20.15/5.43 | Equations (490) can reduce 137 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (244) yields:
% 20.15/5.43 | (245) all_0_9_9 = e2
% 20.15/5.43 | (246) all_0_12_12 = e2
% 20.15/5.43 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (501,246) yields a new equation:
% 20.15/5.43 | (490) e2 = e0
% 20.15/5.43 |
% 20.15/5.43 | Equations (490) can reduce 137 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (249) yields:
% 20.15/5.43 | (250) all_0_10_10 = e3
% 20.15/5.43 | (251) all_0_16_16 = e3
% 20.15/5.43 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (666,251) yields a new equation:
% 20.15/5.43 | (533) e3 = e2
% 20.15/5.43 |
% 20.15/5.43 | Equations (533) can reduce 69 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (254) yields:
% 20.15/5.43 | (255) all_0_10_10 = e1
% 20.15/5.43 | (256) all_0_16_16 = e1
% 20.15/5.43 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (666,256) yields a new equation:
% 20.15/5.43 | (716) e2 = e1
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 716 yields:
% 20.15/5.43 | (388) e2 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (388) can reduce 49 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (259) yields:
% 20.15/5.43 | (260) all_0_11_11 = e3
% 20.15/5.43 | (261) all_0_20_20 = e3
% 20.15/5.43 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.43 |
% 20.15/5.43 | Equations (260) can reduce 204 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (264) yields:
% 20.15/5.43 | (265) all_0_11_11 = e0
% 20.15/5.43 | (266) all_0_20_20 = e0
% 20.15/5.43 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.43 |
% 20.15/5.43 | Equations (266) can reduce 186 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (269) yields:
% 20.15/5.43 | (270) all_0_14_14 = e2
% 20.15/5.43 | (271) all_0_17_17 = e2
% 20.15/5.43 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (413,271) yields a new equation:
% 20.15/5.43 | (532) e3 = e2
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 532 yields:
% 20.15/5.43 | (533) e3 = e2
% 20.15/5.43 |
% 20.15/5.43 | Equations (533) can reduce 69 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (274) yields:
% 20.15/5.43 | (275) all_0_14_14 = e1
% 20.15/5.43 | (276) all_0_17_17 = e1
% 20.15/5.43 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (275,270) yields a new equation:
% 20.15/5.43 | (388) e2 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (388) can reduce 49 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (279) yields:
% 20.15/5.43 | (280) all_0_15_15 = e2
% 20.15/5.43 | (281) all_0_21_21 = e2
% 20.15/5.43 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (286,281) yields a new equation:
% 20.15/5.43 | (490) e2 = e0
% 20.15/5.43 |
% 20.15/5.43 | Equations (490) can reduce 137 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (284) yields:
% 20.15/5.43 | (285) all_0_15_15 = e0
% 20.15/5.43 | (286) all_0_21_21 = e0
% 20.15/5.43 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.43 |
% 20.15/5.43 | Equations (285) can reduce 184 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (289) yields:
% 20.15/5.43 | (290) all_0_19_19 = e1
% 20.15/5.43 | (291) all_0_22_22 = e1
% 20.15/5.43 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.43 |
% 20.15/5.43 | Equations (291) can reduce 101 to:
% 20.15/5.43 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Equations (290) can reduce 469 to:
% 20.15/5.43 | (438) ~ (e3 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 438 yields:
% 20.15/5.43 | (147) ~ (e3 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Equations (291) can reduce 87 to:
% 20.15/5.43 | (839) ~ (all_0_20_20 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Equations (291) can reduce 933 to:
% 20.15/5.43 | (307) ~ (e2 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 307 yields:
% 20.15/5.43 | (49) ~ (e2 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Equations (291) can reduce 188 to:
% 20.15/5.43 | (90) ~ (e1 = e0)
% 20.15/5.43 |
% 20.15/5.43 | Equations (175) can reduce 262 to:
% 20.15/5.43 | (137) ~ (e2 = e0)
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (135), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (423) all_0_8_8 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (423) can reduce 196 to:
% 20.15/5.43 | (307) ~ (e2 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 307 yields:
% 20.15/5.43 | (49) ~ (e2 = e1)
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (51), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (198) all_0_8_8 = e3
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (198,423) yields a new equation:
% 20.15/5.43 | (441) e3 = e1
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 441 yields:
% 20.15/5.43 | (414) e3 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (414) can reduce 147 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.43 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (4222), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (727) all_0_13_13 = e2
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (727,679) yields a new equation:
% 20.15/5.43 | (716) e2 = e1
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 716 yields:
% 20.15/5.43 | (388) e2 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (388) can reduce 49 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.43 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (4238), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (226) all_0_18_18 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (226) can reduce 252 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.43 | (182) all_0_23_23 = e0
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (175,182) yields a new equation:
% 20.15/5.43 | (489) e2 = e0
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 489 yields:
% 20.15/5.43 | (490) e2 = e0
% 20.15/5.43 |
% 20.15/5.43 | Equations (490) can reduce 137 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (195) ~ (all_0_8_8 = e1)
% 20.15/5.43 | (875) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (875), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (657) all_0_12_12 = e1
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (657,501) yields a new equation:
% 20.15/5.43 | (371) e1 = e0
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 371 yields:
% 20.15/5.43 | (372) e1 = e0
% 20.15/5.43 |
% 20.15/5.43 | Equations (372) can reduce 90 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (660) ~ (all_0_12_12 = e1)
% 20.15/5.43 | (895) all_0_16_16 = e1 | all_0_20_20 = e1
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (895), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (256) all_0_16_16 = e1
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (666,256) yields a new equation:
% 20.15/5.43 | (716) e2 = e1
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 716 yields:
% 20.15/5.43 | (388) e2 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (388) can reduce 49 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (227) ~ (all_0_16_16 = e1)
% 20.15/5.43 | (691) all_0_20_20 = e1
% 20.15/5.43 |
% 20.15/5.43 | Equations (691) can reduce 839 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Applying alpha-rule on (294) yields:
% 20.15/5.43 | (295) all_0_19_19 = e0
% 20.15/5.43 | (296) all_0_22_22 = e0
% 20.15/5.43 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.43 |
% 20.15/5.43 | Equations (296) can reduce 188 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (505) ~ (all_0_12_12 = e0)
% 20.15/5.43 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 20.15/5.43 |
% 20.15/5.43 +-Applying beta-rule and splitting (2089), into two cases.
% 20.15/5.43 |-Branch one:
% 20.15/5.43 | (320) all_0_16_16 = e0
% 20.15/5.43 |
% 20.15/5.43 | Combining equations (666,320) yields a new equation:
% 20.15/5.43 | (489) e2 = e0
% 20.15/5.43 |
% 20.15/5.43 | Simplifying 489 yields:
% 20.15/5.43 | (490) e2 = e0
% 20.15/5.43 |
% 20.15/5.43 | Equations (490) can reduce 137 to:
% 20.15/5.43 | (172) $false
% 20.15/5.43 |
% 20.15/5.43 |-The branch is then unsatisfiable
% 20.15/5.43 |-Branch two:
% 20.15/5.43 | (480) ~ (all_0_16_16 = e0)
% 20.15/5.43 | (266) all_0_20_20 = e0
% 20.15/5.44 |
% 20.15/5.44 | Equations (266) can reduce 186 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (854) ~ (all_0_16_16 = e2)
% 20.15/5.44 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (3275), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (666) all_0_16_16 = e2
% 20.15/5.44 |
% 20.15/5.44 | Equations (666) can reduce 854 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (854) ~ (all_0_16_16 = e2)
% 20.15/5.44 | (687) all_0_20_20 = e2
% 20.15/5.44 |
% 20.15/5.44 | Equations (687) can reduce 668 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (416) ~ (all_0_17_17 = e3)
% 20.15/5.44 | (417) all_0_21_21 = e3
% 20.15/5.44 |
% 20.15/5.44 | Combining equations (286,417) yields a new equation:
% 20.15/5.44 | (365) e3 = e0
% 20.15/5.44 |
% 20.15/5.44 | Equations (365) can reduce 107 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (636) ~ (all_0_9_9 = e2)
% 20.15/5.44 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (4507), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (403) all_0_10_10 = e2
% 20.15/5.44 |
% 20.15/5.44 | Equations (403) can reduce 305 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (305) ~ (all_0_10_10 = e2)
% 20.15/5.44 | (635) all_0_11_11 = e2
% 20.15/5.44 |
% 20.15/5.44 | Equations (635) can reduce 953 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (1100) all_0_8_8 = e2
% 20.15/5.44 | (240) all_0_9_9 = e3
% 20.15/5.44 |
% 20.15/5.44 | Equations (1100,240) can reduce 113 to:
% 20.15/5.44 | (499) ~ (e3 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 499 yields:
% 20.15/5.44 | (69) ~ (e3 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Equations (1100) can reduce 39 to:
% 20.15/5.44 | (4853) ~ (all_0_11_11 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 4853 yields:
% 20.15/5.44 | (953) ~ (all_0_11_11 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Equations (1100) can reduce 104 to:
% 20.15/5.44 | (1606) ~ (all_0_16_16 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 1606 yields:
% 20.15/5.44 | (854) ~ (all_0_16_16 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Equations (1100) can reduce 166 to:
% 20.15/5.44 | (667) ~ (all_0_20_20 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 667 yields:
% 20.15/5.44 | (668) ~ (all_0_20_20 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Equations (1100) can reduce 197 to:
% 20.15/5.44 | (137) ~ (e2 = e0)
% 20.15/5.44 |
% 20.15/5.44 | Equations (240) can reduce 79 to:
% 20.15/5.44 | (201) ~ (all_0_10_10 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 201 yields:
% 20.15/5.44 | (202) ~ (all_0_10_10 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (240) can reduce 97 to:
% 20.15/5.44 | (203) ~ (all_0_11_11 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 203 yields:
% 20.15/5.44 | (204) ~ (all_0_11_11 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (240) can reduce 13 to:
% 20.15/5.44 | (1615) ~ (all_0_17_17 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 1615 yields:
% 20.15/5.44 | (416) ~ (all_0_17_17 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (240) can reduce 304 to:
% 20.15/5.44 | (147) ~ (e3 = e1)
% 20.15/5.44 |
% 20.15/5.44 | Equations (240) can reduce 842 to:
% 20.15/5.44 | (107) ~ (e3 = e0)
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (20), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (251) all_0_16_16 = e3
% 20.15/5.44 |
% 20.15/5.44 | Equations (251) can reduce 71 to:
% 20.15/5.44 | (206) ~ (all_0_12_12 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (251) can reduce 148 to:
% 20.15/5.44 | (1615) ~ (all_0_17_17 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 1615 yields:
% 20.15/5.44 | (416) ~ (all_0_17_17 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (251) can reduce 108 to:
% 20.15/5.44 | (2567) ~ (all_0_18_18 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 2567 yields:
% 20.15/5.44 | (214) ~ (all_0_18_18 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (251) can reduce 151 to:
% 20.15/5.44 | (209) ~ (all_0_20_20 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 209 yields:
% 20.15/5.44 | (210) ~ (all_0_20_20 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (251) can reduce 854 to:
% 20.15/5.44 | (69) ~ (e3 = e2)
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (58), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (613) all_0_8_8 = e0
% 20.15/5.44 |
% 20.15/5.44 | Combining equations (613,1100) yields a new equation:
% 20.15/5.44 | (490) e2 = e0
% 20.15/5.44 |
% 20.15/5.44 | Equations (490) can reduce 137 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (197) ~ (all_0_8_8 = e0)
% 20.15/5.44 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (623), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (501) all_0_12_12 = e0
% 20.15/5.44 |
% 20.15/5.44 | Equations (501) can reduce 41 to:
% 20.15/5.44 | (323) ~ (all_0_20_20 = e0)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 323 yields:
% 20.15/5.44 | (186) ~ (all_0_20_20 = e0)
% 20.15/5.44 |
% 20.15/5.44 | Equations (501) can reduce 206 to:
% 20.15/5.44 | (189) ~ (e3 = e0)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 189 yields:
% 20.15/5.44 | (107) ~ (e3 = e0)
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (22), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (261) all_0_20_20 = e3
% 20.15/5.44 |
% 20.15/5.44 | Equations (261) can reduce 210 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (210) ~ (all_0_20_20 = e3)
% 20.15/5.44 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (26), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (413) all_0_17_17 = e3
% 20.15/5.44 |
% 20.15/5.44 | Equations (413) can reduce 416 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (416) ~ (all_0_17_17 = e3)
% 20.15/5.44 | (2068) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (19), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (666) all_0_16_16 = e2
% 20.15/5.44 |
% 20.15/5.44 | Combining equations (666,251) yields a new equation:
% 20.15/5.44 | (533) e3 = e2
% 20.15/5.44 |
% 20.15/5.44 | Equations (533) can reduce 69 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (854) ~ (all_0_16_16 = e2)
% 20.15/5.44 | (1000) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (1000), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (271) all_0_17_17 = e2
% 20.15/5.44 |
% 20.15/5.44 | Equations (271) can reduce 121 to:
% 20.15/5.44 | (3278) ~ (all_0_18_18 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 3278 yields:
% 20.15/5.44 | (217) ~ (all_0_18_18 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Equations (271) can reduce 150 to:
% 20.15/5.44 | (313) ~ (all_0_19_19 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 313 yields:
% 20.15/5.44 | (314) ~ (all_0_19_19 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Equations (271) can reduce 416 to:
% 20.15/5.44 | (499) ~ (e3 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 499 yields:
% 20.15/5.44 | (69) ~ (e3 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Equations (271) can reduce 228 to:
% 20.15/5.44 | (49) ~ (e2 = e1)
% 20.15/5.44 |
% 20.15/5.44 | Equations (271) can reduce 486 to:
% 20.15/5.44 | (137) ~ (e2 = e0)
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (656), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (417) all_0_21_21 = e3
% 20.15/5.44 |
% 20.15/5.44 | Combining equations (286,417) yields a new equation:
% 20.15/5.44 | (365) e3 = e0
% 20.15/5.44 |
% 20.15/5.44 | Equations (365) can reduce 107 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (1618) ~ (all_0_21_21 = e3)
% 20.15/5.44 | (1791) all_0_22_22 = e3 | all_0_23_23 = e3
% 20.15/5.44 |
% 20.15/5.44 | Equations (286) can reduce 1618 to:
% 20.15/5.44 | (189) ~ (e3 = e0)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 189 yields:
% 20.15/5.44 | (107) ~ (e3 = e0)
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (23), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (250) all_0_10_10 = e3
% 20.15/5.44 |
% 20.15/5.44 | Equations (250) can reduce 202 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (202) ~ (all_0_10_10 = e3)
% 20.15/5.44 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (28), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (419) all_0_15_15 = e3
% 20.15/5.44 |
% 20.15/5.44 | Equations (419) can reduce 98 to:
% 20.15/5.44 | (204) ~ (all_0_11_11 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (419) can reduce 149 to:
% 20.15/5.44 | (1125) ~ (all_0_19_19 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 1125 yields:
% 20.15/5.44 | (469) ~ (all_0_19_19 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (419) can reduce 1585 to:
% 20.15/5.44 | (69) ~ (e3 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Equations (419) can reduce 602 to:
% 20.15/5.44 | (147) ~ (e3 = e1)
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (1791), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (902) all_0_22_22 = e3
% 20.15/5.44 |
% 20.15/5.44 | Equations (902) can reduce 145 to:
% 20.15/5.44 | (202) ~ (all_0_10_10 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (902) can reduce 101 to:
% 20.15/5.44 | (214) ~ (all_0_18_18 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (902) can reduce 87 to:
% 20.15/5.44 | (210) ~ (all_0_20_20 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (902) can reduce 933 to:
% 20.15/5.44 | (69) ~ (e3 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Equations (902) can reduce 188 to:
% 20.15/5.44 | (107) ~ (e3 = e0)
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (152), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (229), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (230), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (231), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (232), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (233), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (234), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (235), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (236), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (237), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (238), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Applying alpha-rule on (239) yields:
% 20.15/5.44 | (240) all_0_9_9 = e3
% 20.15/5.44 | (241) all_0_12_12 = e3
% 20.15/5.44 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.44 |
% 20.15/5.44 | Combining equations (241,501) yields a new equation:
% 20.15/5.44 | (364) e3 = e0
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 364 yields:
% 20.15/5.44 | (365) e3 = e0
% 20.15/5.44 |
% 20.15/5.44 | Equations (365) can reduce 107 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Applying alpha-rule on (244) yields:
% 20.15/5.44 | (245) all_0_9_9 = e2
% 20.15/5.44 | (246) all_0_12_12 = e2
% 20.15/5.44 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Combining equations (246,501) yields a new equation:
% 20.15/5.44 | (489) e2 = e0
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 489 yields:
% 20.15/5.44 | (490) e2 = e0
% 20.15/5.44 |
% 20.15/5.44 | Equations (490) can reduce 137 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.15/5.44 |
% 20.15/5.44 | Applying alpha-rule on (249) yields:
% 20.15/5.44 | (250) all_0_10_10 = e3
% 20.15/5.44 | (251) all_0_16_16 = e3
% 20.15/5.44 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.44 |
% 20.15/5.44 | Equations (250) can reduce 202 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Applying alpha-rule on (254) yields:
% 20.15/5.44 | (255) all_0_10_10 = e1
% 20.15/5.44 | (256) all_0_16_16 = e1
% 20.15/5.44 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Combining equations (251,256) yields a new equation:
% 20.15/5.44 | (441) e3 = e1
% 20.15/5.44 |
% 20.15/5.44 | Simplifying 441 yields:
% 20.15/5.44 | (414) e3 = e1
% 20.15/5.44 |
% 20.15/5.44 | Equations (414) can reduce 147 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.15/5.44 |
% 20.15/5.44 | Applying alpha-rule on (259) yields:
% 20.15/5.44 | (260) all_0_11_11 = e3
% 20.15/5.44 | (261) all_0_20_20 = e3
% 20.15/5.44 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.44 |
% 20.15/5.44 | Equations (261) can reduce 210 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Applying alpha-rule on (264) yields:
% 20.15/5.44 | (265) all_0_11_11 = e0
% 20.15/5.44 | (266) all_0_20_20 = e0
% 20.15/5.44 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.44 |
% 20.15/5.44 | Equations (266) can reduce 186 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.15/5.44 |
% 20.15/5.44 | Applying alpha-rule on (269) yields:
% 20.15/5.44 | (270) all_0_14_14 = e2
% 20.15/5.44 | (271) all_0_17_17 = e2
% 20.15/5.44 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (163), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (218) all_0_18_18 = e3
% 20.15/5.44 |
% 20.15/5.44 | Equations (218) can reduce 214 to:
% 20.15/5.44 | (172) $false
% 20.15/5.44 |
% 20.15/5.44 |-The branch is then unsatisfiable
% 20.15/5.44 |-Branch two:
% 20.15/5.44 | (214) ~ (all_0_18_18 = e3)
% 20.15/5.44 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 20.15/5.44 |
% 20.15/5.44 +-Applying beta-rule and splitting (117), into two cases.
% 20.15/5.44 |-Branch one:
% 20.15/5.44 | (255) all_0_10_10 = e1
% 20.15/5.44 |
% 20.15/5.44 | Equations (255) can reduce 42 to:
% 20.15/5.45 | (4195) ~ (all_0_18_18 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 4195 yields:
% 20.15/5.45 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (221), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (222) all_0_18_18 = e2
% 20.15/5.45 |
% 20.15/5.45 | Equations (222) can reduce 217 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (217) ~ (all_0_18_18 = e2)
% 20.15/5.45 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (225), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (226) all_0_18_18 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (226) can reduce 252 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.45 | (300) all_0_18_18 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (300) can reduce 123 to:
% 20.15/5.45 | (321) ~ (all_0_19_19 = e0)
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 321 yields:
% 20.15/5.45 | (185) ~ (all_0_19_19 = e0)
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (157), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (327) all_0_19_19 = e3
% 20.15/5.45 |
% 20.15/5.45 | Equations (327) can reduce 469 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (469) ~ (all_0_19_19 = e3)
% 20.15/5.45 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (470), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (471) all_0_19_19 = e2
% 20.15/5.45 |
% 20.15/5.45 | Equations (471) can reduce 314 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (314) ~ (all_0_19_19 = e2)
% 20.15/5.45 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (474), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (290) all_0_19_19 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (290) can reduce 115 to:
% 20.15/5.45 | (600) ~ (all_0_11_11 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Equations (290) can reduce 469 to:
% 20.15/5.45 | (438) ~ (e3 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 438 yields:
% 20.15/5.45 | (147) ~ (e3 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Equations (290) can reduce 314 to:
% 20.15/5.45 | (307) ~ (e2 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 307 yields:
% 20.15/5.45 | (49) ~ (e2 = e1)
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (119), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (260) all_0_11_11 = e3
% 20.15/5.45 |
% 20.15/5.45 | Equations (260) can reduce 204 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (204) ~ (all_0_11_11 = e3)
% 20.15/5.45 | (612) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (612), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (635) all_0_11_11 = e2
% 20.15/5.45 |
% 20.15/5.45 | Equations (635) can reduce 953 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (953) ~ (all_0_11_11 = e2)
% 20.15/5.45 | (954) all_0_11_11 = e1 | all_0_11_11 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (72), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (261) all_0_20_20 = e3
% 20.15/5.45 |
% 20.15/5.45 | Equations (261) can reduce 210 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (210) ~ (all_0_20_20 = e3)
% 20.15/5.45 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (51), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (198) all_0_8_8 = e3
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (198,1100) yields a new equation:
% 20.15/5.45 | (532) e3 = e2
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 532 yields:
% 20.15/5.45 | (533) e3 = e2
% 20.15/5.45 |
% 20.15/5.45 | Equations (533) can reduce 69 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (247) ~ (all_0_8_8 = e3)
% 20.15/5.45 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (135), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (423) all_0_8_8 = e1
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (423,1100) yields a new equation:
% 20.15/5.45 | (388) e2 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (388) can reduce 49 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (195) ~ (all_0_8_8 = e1)
% 20.15/5.45 | (875) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (686), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (687) all_0_20_20 = e2
% 20.15/5.45 |
% 20.15/5.45 | Equations (687) can reduce 668 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (668) ~ (all_0_20_20 = e2)
% 20.15/5.45 | (690) all_0_20_20 = e1 | all_0_20_20 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (954), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (437) all_0_11_11 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (437) can reduce 600 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (600) ~ (all_0_11_11 = e1)
% 20.15/5.45 | (265) all_0_11_11 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (265) can reduce 953 to:
% 20.15/5.45 | (191) ~ (e2 = e0)
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 191 yields:
% 20.15/5.45 | (137) ~ (e2 = e0)
% 20.15/5.45 |
% 20.15/5.45 | Equations (265) can reduce 600 to:
% 20.15/5.45 | (193) ~ (e1 = e0)
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 193 yields:
% 20.15/5.45 | (90) ~ (e1 = e0)
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (105), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (691) all_0_20_20 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (691) can reduce 668 to:
% 20.15/5.45 | (307) ~ (e2 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 307 yields:
% 20.15/5.45 | (49) ~ (e2 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Equations (691) can reduce 186 to:
% 20.15/5.45 | (90) ~ (e1 = e0)
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (4222), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (727) all_0_13_13 = e2
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (679,727) yields a new equation:
% 20.15/5.45 | (388) e2 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (388) can reduce 49 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.45 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (4238), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (226) all_0_18_18 = e1
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (300,226) yields a new equation:
% 20.15/5.45 | (372) e1 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (372) can reduce 90 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.45 | (182) all_0_23_23 = e0
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (182,175) yields a new equation:
% 20.15/5.45 | (490) e2 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (490) can reduce 137 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (839) ~ (all_0_20_20 = e1)
% 20.15/5.45 | (5132) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (875), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (657) all_0_12_12 = e1
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (501,657) yields a new equation:
% 20.15/5.45 | (372) e1 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (372) can reduce 90 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (660) ~ (all_0_12_12 = e1)
% 20.15/5.45 | (895) all_0_16_16 = e1 | all_0_20_20 = e1
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (895), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (256) all_0_16_16 = e1
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (251,256) yields a new equation:
% 20.15/5.45 | (441) e3 = e1
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 441 yields:
% 20.15/5.45 | (414) e3 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (414) can reduce 147 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (227) ~ (all_0_16_16 = e1)
% 20.15/5.45 | (691) all_0_20_20 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (691) can reduce 839 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (310) ~ (all_0_19_19 = e1)
% 20.15/5.45 | (295) all_0_19_19 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (295) can reduce 185 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (394) ~ (all_0_10_10 = e1)
% 20.15/5.45 | (7548) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (72), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (261) all_0_20_20 = e3
% 20.15/5.45 |
% 20.15/5.45 | Equations (261) can reduce 210 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (210) ~ (all_0_20_20 = e3)
% 20.15/5.45 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (221), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (222) all_0_18_18 = e2
% 20.15/5.45 |
% 20.15/5.45 | Equations (222) can reduce 217 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (217) ~ (all_0_18_18 = e2)
% 20.15/5.45 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (7548), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (275) all_0_14_14 = e1
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (270,275) yields a new equation:
% 20.15/5.45 | (716) e2 = e1
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 716 yields:
% 20.15/5.45 | (388) e2 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (388) can reduce 49 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (835) ~ (all_0_14_14 = e1)
% 20.15/5.45 | (7739) all_0_18_18 = e1 | all_0_22_22 = e1
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (225), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (226) all_0_18_18 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (226) can reduce 252 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.45 | (300) all_0_18_18 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (77), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (215) ~ (all_0_18_18 = e0)
% 20.15/5.45 |
% 20.15/5.45 | Equations (300) can reduce 215 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (300) all_0_18_18 = e0
% 20.15/5.45 | (290) all_0_19_19 = e1
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (686), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (687) all_0_20_20 = e2
% 20.15/5.45 |
% 20.15/5.45 | Equations (687) can reduce 668 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (668) ~ (all_0_20_20 = e2)
% 20.15/5.45 | (690) all_0_20_20 = e1 | all_0_20_20 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (690), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (691) all_0_20_20 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (691) can reduce 210 to:
% 20.15/5.45 | (438) ~ (e3 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 438 yields:
% 20.15/5.45 | (147) ~ (e3 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Equations (691) can reduce 186 to:
% 20.15/5.45 | (90) ~ (e1 = e0)
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (7739), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (226) all_0_18_18 = e1
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (300,226) yields a new equation:
% 20.15/5.45 | (372) e1 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (372) can reduce 90 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.45 | (291) all_0_22_22 = e1
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (902,291) yields a new equation:
% 20.15/5.45 | (441) e3 = e1
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 441 yields:
% 20.15/5.45 | (414) e3 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (414) can reduce 147 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (839) ~ (all_0_20_20 = e1)
% 20.15/5.45 | (266) all_0_20_20 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (266) can reduce 186 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.15/5.45 |
% 20.15/5.45 | Applying alpha-rule on (274) yields:
% 20.15/5.45 | (275) all_0_14_14 = e1
% 20.15/5.45 | (276) all_0_17_17 = e1
% 20.15/5.45 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (271,276) yields a new equation:
% 20.15/5.45 | (716) e2 = e1
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 716 yields:
% 20.15/5.45 | (388) e2 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (388) can reduce 49 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.15/5.45 |
% 20.15/5.45 | Applying alpha-rule on (279) yields:
% 20.15/5.45 | (280) all_0_15_15 = e2
% 20.15/5.45 | (281) all_0_21_21 = e2
% 20.15/5.45 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (281,286) yields a new equation:
% 20.15/5.45 | (489) e2 = e0
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 489 yields:
% 20.15/5.45 | (490) e2 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (490) can reduce 137 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.15/5.45 |
% 20.15/5.45 | Applying alpha-rule on (284) yields:
% 20.15/5.45 | (285) all_0_15_15 = e0
% 20.15/5.45 | (286) all_0_21_21 = e0
% 20.15/5.45 | (242) ~ (all_0_13_13 = e2)
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (419,285) yields a new equation:
% 20.15/5.45 | (364) e3 = e0
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 364 yields:
% 20.15/5.45 | (365) e3 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (365) can reduce 107 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.15/5.45 |
% 20.15/5.45 | Applying alpha-rule on (289) yields:
% 20.15/5.45 | (290) all_0_19_19 = e1
% 20.15/5.45 | (291) all_0_22_22 = e1
% 20.15/5.45 | (262) ~ (all_0_23_23 = e0)
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (902,291) yields a new equation:
% 20.15/5.45 | (441) e3 = e1
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 441 yields:
% 20.15/5.45 | (414) e3 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (414) can reduce 147 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Applying alpha-rule on (294) yields:
% 20.15/5.45 | (295) all_0_19_19 = e0
% 20.15/5.45 | (296) all_0_22_22 = e0
% 20.15/5.45 | (252) ~ (all_0_18_18 = e1)
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (902,296) yields a new equation:
% 20.15/5.45 | (364) e3 = e0
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 364 yields:
% 20.15/5.45 | (365) e3 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (365) can reduce 107 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (881) ~ (all_0_22_22 = e3)
% 20.15/5.45 | (171) all_0_23_23 = e3
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (175,171) yields a new equation:
% 20.15/5.45 | (533) e3 = e2
% 20.15/5.45 |
% 20.15/5.45 | Equations (533) can reduce 69 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (329) ~ (all_0_15_15 = e3)
% 20.15/5.45 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (144), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (241) all_0_12_12 = e3
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (241,501) yields a new equation:
% 20.15/5.45 | (364) e3 = e0
% 20.15/5.45 |
% 20.15/5.45 | Simplifying 364 yields:
% 20.15/5.45 | (365) e3 = e0
% 20.15/5.45 |
% 20.15/5.45 | Equations (365) can reduce 107 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.15/5.45 |-Branch two:
% 20.15/5.45 | (206) ~ (all_0_12_12 = e3)
% 20.15/5.45 | (335) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 20.15/5.45 |
% 20.15/5.45 +-Applying beta-rule and splitting (335), into two cases.
% 20.15/5.45 |-Branch one:
% 20.15/5.45 | (336) all_0_13_13 = e3
% 20.15/5.45 |
% 20.15/5.45 | Combining equations (679,336) yields a new equation:
% 20.15/5.45 | (414) e3 = e1
% 20.15/5.45 |
% 20.15/5.45 | Equations (414) can reduce 147 to:
% 20.15/5.45 | (172) $false
% 20.15/5.45 |
% 20.15/5.45 |-The branch is then unsatisfiable
% 20.45/5.45 |-Branch two:
% 20.45/5.45 | (216) ~ (all_0_13_13 = e3)
% 20.45/5.45 | (339) all_0_14_14 = e3 | all_0_15_15 = e3
% 20.45/5.45 |
% 20.45/5.45 +-Applying beta-rule and splitting (890), into two cases.
% 20.45/5.45 |-Branch one:
% 20.45/5.45 | (440) all_0_14_14 = e3
% 20.45/5.45 |
% 20.45/5.45 | Combining equations (270,440) yields a new equation:
% 20.45/5.45 | (533) e3 = e2
% 20.45/5.45 |
% 20.45/5.45 | Equations (533) can reduce 69 to:
% 20.45/5.45 | (172) $false
% 20.45/5.45 |
% 20.45/5.45 |-The branch is then unsatisfiable
% 20.45/5.45 |-Branch two:
% 20.45/5.45 | (444) ~ (all_0_14_14 = e3)
% 20.45/5.45 | (915) all_0_18_18 = e3 | all_0_22_22 = e3
% 20.45/5.45 |
% 20.45/5.45 +-Applying beta-rule and splitting (915), into two cases.
% 20.45/5.45 |-Branch one:
% 20.45/5.45 | (218) all_0_18_18 = e3
% 20.45/5.45 |
% 20.45/5.45 | Equations (218) can reduce 214 to:
% 20.45/5.45 | (172) $false
% 20.45/5.45 |
% 20.45/5.45 |-The branch is then unsatisfiable
% 20.45/5.45 |-Branch two:
% 20.45/5.45 | (214) ~ (all_0_18_18 = e3)
% 20.45/5.45 | (902) all_0_22_22 = e3
% 20.45/5.45 |
% 20.45/5.45 | Equations (902) can reduce 933 to:
% 20.45/5.45 | (69) ~ (e3 = e2)
% 20.45/5.45 |
% 20.45/5.45 +-Applying beta-rule and splitting (51), into two cases.
% 20.45/5.45 |-Branch one:
% 20.45/5.45 | (198) all_0_8_8 = e3
% 20.45/5.45 |
% 20.45/5.45 | Combining equations (198,1100) yields a new equation:
% 20.45/5.45 | (532) e3 = e2
% 20.45/5.46 |
% 20.45/5.46 | Simplifying 532 yields:
% 20.45/5.46 | (533) e3 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (533) can reduce 69 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (247) ~ (all_0_8_8 = e3)
% 20.45/5.46 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 20.45/5.46 |
% 20.45/5.46 | Equations (1100) can reduce 247 to:
% 20.45/5.46 | (499) ~ (e3 = e2)
% 20.45/5.46 |
% 20.45/5.46 | Simplifying 499 yields:
% 20.45/5.46 | (69) ~ (e3 = e2)
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (339), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (440) all_0_14_14 = e3
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (270,440) yields a new equation:
% 20.45/5.46 | (533) e3 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (533) can reduce 69 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (444) ~ (all_0_14_14 = e3)
% 20.45/5.46 | (419) all_0_15_15 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (419) can reduce 329 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (1004) ~ (all_0_17_17 = e2)
% 20.45/5.46 | (1005) all_0_18_18 = e2 | all_0_19_19 = e2
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (1005), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (222) all_0_18_18 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (222) can reduce 217 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (217) ~ (all_0_18_18 = e2)
% 20.45/5.46 | (471) all_0_19_19 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (471) can reduce 314 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (505) ~ (all_0_12_12 = e0)
% 20.45/5.46 | (2089) all_0_16_16 = e0 | all_0_20_20 = e0
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (22), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (261) all_0_20_20 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (261) can reduce 210 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (210) ~ (all_0_20_20 = e3)
% 20.45/5.46 | (656) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (72), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (261) all_0_20_20 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (261) can reduce 210 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (210) ~ (all_0_20_20 = e3)
% 20.45/5.46 | (686) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (686), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (687) all_0_20_20 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (687) can reduce 668 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (668) ~ (all_0_20_20 = e2)
% 20.45/5.46 | (690) all_0_20_20 = e1 | all_0_20_20 = e0
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (690), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (691) all_0_20_20 = e1
% 20.45/5.46 |
% 20.45/5.46 | Equations (691) can reduce 186 to:
% 20.45/5.46 | (90) ~ (e1 = e0)
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (2089), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (320) all_0_16_16 = e0
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (251,320) yields a new equation:
% 20.45/5.46 | (364) e3 = e0
% 20.45/5.46 |
% 20.45/5.46 | Simplifying 364 yields:
% 20.45/5.46 | (365) e3 = e0
% 20.45/5.46 |
% 20.45/5.46 | Equations (365) can reduce 107 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (480) ~ (all_0_16_16 = e0)
% 20.45/5.46 | (266) all_0_20_20 = e0
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (266,691) yields a new equation:
% 20.45/5.46 | (372) e1 = e0
% 20.45/5.46 |
% 20.45/5.46 | Equations (372) can reduce 90 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (839) ~ (all_0_20_20 = e1)
% 20.45/5.46 | (266) all_0_20_20 = e0
% 20.45/5.46 |
% 20.45/5.46 | Equations (266) can reduce 186 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (208) ~ (all_0_16_16 = e3)
% 20.45/5.46 | (648) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (51), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (198) all_0_8_8 = e3
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (198,1100) yields a new equation:
% 20.45/5.46 | (532) e3 = e2
% 20.45/5.46 |
% 20.45/5.46 | Simplifying 532 yields:
% 20.45/5.46 | (533) e3 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (533) can reduce 69 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (247) ~ (all_0_8_8 = e3)
% 20.45/5.46 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (26), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (413) all_0_17_17 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (413) can reduce 416 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (416) ~ (all_0_17_17 = e3)
% 20.45/5.46 | (2068) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (4222), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (727) all_0_13_13 = e2
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (679,727) yields a new equation:
% 20.45/5.46 | (388) e2 = e1
% 20.45/5.46 |
% 20.45/5.46 | Equations (388) can reduce 49 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (242) ~ (all_0_13_13 = e2)
% 20.45/5.46 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (2068), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (271) all_0_17_17 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (271) can reduce 416 to:
% 20.45/5.46 | (499) ~ (e3 = e2)
% 20.45/5.46 |
% 20.45/5.46 | Simplifying 499 yields:
% 20.45/5.46 | (69) ~ (e3 = e2)
% 20.45/5.46 |
% 20.45/5.46 | Equations (271) can reduce 486 to:
% 20.45/5.46 | (137) ~ (e2 = e0)
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (648), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (413) all_0_17_17 = e3
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (271,413) yields a new equation:
% 20.45/5.46 | (533) e3 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (533) can reduce 69 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (416) ~ (all_0_17_17 = e3)
% 20.45/5.46 | (862) all_0_18_18 = e3 | all_0_19_19 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (271) can reduce 416 to:
% 20.45/5.46 | (499) ~ (e3 = e2)
% 20.45/5.46 |
% 20.45/5.46 | Simplifying 499 yields:
% 20.45/5.46 | (69) ~ (e3 = e2)
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (23), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (250) all_0_10_10 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (250) can reduce 202 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (202) ~ (all_0_10_10 = e3)
% 20.45/5.46 | (890) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (890), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (440) all_0_14_14 = e3
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (270,440) yields a new equation:
% 20.45/5.46 | (533) e3 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (533) can reduce 69 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (444) ~ (all_0_14_14 = e3)
% 20.45/5.46 | (915) all_0_18_18 = e3 | all_0_22_22 = e3
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (915), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (218) all_0_18_18 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (218) can reduce 214 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (214) ~ (all_0_18_18 = e3)
% 20.45/5.46 | (902) all_0_22_22 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (902) can reduce 933 to:
% 20.45/5.46 | (69) ~ (e3 = e2)
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (4238), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (226) all_0_18_18 = e1
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (157), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (327) all_0_19_19 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (327) can reduce 469 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (469) ~ (all_0_19_19 = e3)
% 20.45/5.46 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (106), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (260) all_0_11_11 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (260) can reduce 204 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (204) ~ (all_0_11_11 = e3)
% 20.45/5.46 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (628), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (419) all_0_15_15 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (419) can reduce 149 to:
% 20.45/5.46 | (1125) ~ (all_0_19_19 = e3)
% 20.45/5.46 |
% 20.45/5.46 | Simplifying 1125 yields:
% 20.45/5.46 | (469) ~ (all_0_19_19 = e3)
% 20.45/5.46 |
% 20.45/5.46 | Equations (419) can reduce 602 to:
% 20.45/5.46 | (147) ~ (e3 = e1)
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (862), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (218) all_0_18_18 = e3
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (226,218) yields a new equation:
% 20.45/5.46 | (414) e3 = e1
% 20.45/5.46 |
% 20.45/5.46 | Equations (414) can reduce 147 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (214) ~ (all_0_18_18 = e3)
% 20.45/5.46 | (327) all_0_19_19 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (327) can reduce 469 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (329) ~ (all_0_15_15 = e3)
% 20.45/5.46 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (965), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (327) all_0_19_19 = e3
% 20.45/5.46 |
% 20.45/5.46 | Equations (327) can reduce 469 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (469) ~ (all_0_19_19 = e3)
% 20.45/5.46 | (171) all_0_23_23 = e3
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (175,171) yields a new equation:
% 20.45/5.46 | (533) e3 = e2
% 20.45/5.46 |
% 20.45/5.46 | Equations (533) can reduce 69 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (252) ~ (all_0_18_18 = e1)
% 20.45/5.46 | (182) all_0_23_23 = e0
% 20.45/5.46 |
% 20.45/5.46 | Combining equations (182,175) yields a new equation:
% 20.45/5.46 | (490) e2 = e0
% 20.45/5.46 |
% 20.45/5.46 | Equations (490) can reduce 137 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (1004) ~ (all_0_17_17 = e2)
% 20.45/5.46 | (2072) all_0_17_17 = e1 | all_0_17_17 = e0
% 20.45/5.46 |
% 20.45/5.46 +-Applying beta-rule and splitting (2072), into two cases.
% 20.45/5.46 |-Branch one:
% 20.45/5.46 | (276) all_0_17_17 = e1
% 20.45/5.46 |
% 20.45/5.46 | Equations (276) can reduce 228 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.46 |-Branch two:
% 20.45/5.46 | (228) ~ (all_0_17_17 = e1)
% 20.45/5.46 | (482) all_0_17_17 = e0
% 20.45/5.46 |
% 20.45/5.46 | Equations (482) can reduce 486 to:
% 20.45/5.46 | (172) $false
% 20.45/5.46 |
% 20.45/5.46 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (613) all_0_8_8 = e0
% 20.45/5.47 | (260) all_0_11_11 = e3
% 20.45/5.47 |
% 20.45/5.47 | Equations (613,260) can reduce 39 to:
% 20.45/5.47 | (189) ~ (e3 = e0)
% 20.45/5.47 |
% 20.45/5.47 | Simplifying 189 yields:
% 20.45/5.47 | (107) ~ (e3 = e0)
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (51), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (198) all_0_8_8 = e3
% 20.45/5.47 |
% 20.45/5.47 | Combining equations (198,613) yields a new equation:
% 20.45/5.47 | (364) e3 = e0
% 20.45/5.47 |
% 20.45/5.47 | Simplifying 364 yields:
% 20.45/5.47 | (365) e3 = e0
% 20.45/5.47 |
% 20.45/5.47 | Equations (365) can reduce 107 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (247) ~ (all_0_8_8 = e3)
% 20.45/5.47 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (6), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (437) all_0_11_11 = e1
% 20.45/5.47 |
% 20.45/5.47 | Combining equations (260,437) yields a new equation:
% 20.45/5.47 | (441) e3 = e1
% 20.45/5.47 |
% 20.45/5.47 | Simplifying 441 yields:
% 20.45/5.47 | (414) e3 = e1
% 20.45/5.47 |
% 20.45/5.47 | Equations (414) can reduce 147 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (600) ~ (all_0_11_11 = e1)
% 20.45/5.47 | (3607) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (4222), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (727) all_0_13_13 = e2
% 20.45/5.47 |
% 20.45/5.47 | Combining equations (679,727) yields a new equation:
% 20.45/5.47 | (388) e2 = e1
% 20.45/5.47 |
% 20.45/5.47 | Equations (388) can reduce 49 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (242) ~ (all_0_13_13 = e2)
% 20.45/5.47 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (4238), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (226) all_0_18_18 = e1
% 20.45/5.47 |
% 20.45/5.47 | Equations (226) can reduce 123 to:
% 20.45/5.47 | (309) ~ (all_0_19_19 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Simplifying 309 yields:
% 20.45/5.47 | (310) ~ (all_0_19_19 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Equations (226) can reduce 217 to:
% 20.45/5.47 | (307) ~ (e2 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Simplifying 307 yields:
% 20.45/5.47 | (49) ~ (e2 = e1)
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (3607), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (836) all_0_15_15 = e1
% 20.45/5.47 |
% 20.45/5.47 | Equations (836) can reduce 602 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (602) ~ (all_0_15_15 = e1)
% 20.45/5.47 | (5392) all_0_19_19 = e1 | all_0_23_23 = e1
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (5392), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (290) all_0_19_19 = e1
% 20.45/5.47 |
% 20.45/5.47 | Equations (290) can reduce 310 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (310) ~ (all_0_19_19 = e1)
% 20.45/5.47 | (179) all_0_23_23 = e1
% 20.45/5.47 |
% 20.45/5.47 | Combining equations (179,175) yields a new equation:
% 20.45/5.47 | (388) e2 = e1
% 20.45/5.47 |
% 20.45/5.47 | Equations (388) can reduce 49 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (252) ~ (all_0_18_18 = e1)
% 20.45/5.47 | (182) all_0_23_23 = e0
% 20.45/5.47 |
% 20.45/5.47 | Combining equations (175,182) yields a new equation:
% 20.45/5.47 | (489) e2 = e0
% 20.45/5.47 |
% 20.45/5.47 | Simplifying 489 yields:
% 20.45/5.47 | (490) e2 = e0
% 20.45/5.47 |
% 20.45/5.47 | Equations (490) can reduce 137 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (9739) all_0_0_0 = e3
% 20.45/5.47 | (11276) ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e2)
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (11276), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (4843) ~ (all_0_1_1 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Equations (4059) can reduce 4843 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (4059) all_0_1_1 = e1
% 20.45/5.47 | (169) ~ (all_0_23_23 = e2)
% 20.45/5.47 |
% 20.45/5.47 | Equations (175) can reduce 169 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (179) all_0_23_23 = e1
% 20.45/5.47 | (296) all_0_22_22 = e0
% 20.45/5.47 |
% 20.45/5.47 | Equations (179) can reduce 67 to:
% 20.45/5.47 | (600) ~ (all_0_11_11 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Equations (296) can reduce 101 to:
% 20.45/5.47 | (215) ~ (all_0_18_18 = e0)
% 20.45/5.47 |
% 20.45/5.47 | Equations (296) can reduce 87 to:
% 20.45/5.47 | (186) ~ (all_0_20_20 = e0)
% 20.45/5.47 |
% 20.45/5.47 | Equations (296) can reduce 131 to:
% 20.45/5.47 | (187) ~ (all_0_21_21 = e0)
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (163), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (218) all_0_18_18 = e3
% 20.45/5.47 |
% 20.45/5.47 | Equations (218) can reduce 214 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (214) ~ (all_0_18_18 = e3)
% 20.45/5.47 | (221) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (221), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (222) all_0_18_18 = e2
% 20.45/5.47 |
% 20.45/5.47 | Equations (222) can reduce 217 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (217) ~ (all_0_18_18 = e2)
% 20.45/5.47 | (225) all_0_18_18 = e1 | all_0_18_18 = e0
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (225), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (226) all_0_18_18 = e1
% 20.45/5.47 |
% 20.45/5.47 | Equations (226) can reduce 42 to:
% 20.45/5.47 | (394) ~ (all_0_10_10 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Equations (226) can reduce 217 to:
% 20.45/5.47 | (307) ~ (e2 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Simplifying 307 yields:
% 20.45/5.47 | (49) ~ (e2 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Equations (226) can reduce 215 to:
% 20.45/5.47 | (90) ~ (e1 = e0)
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (155), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (423) all_0_8_8 = e1
% 20.45/5.47 |
% 20.45/5.47 | Equations (423) can reduce 59 to:
% 20.45/5.47 | (1183) ~ (all_0_10_10 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Simplifying 1183 yields:
% 20.45/5.47 | (394) ~ (all_0_10_10 = e1)
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (95), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (195) ~ (all_0_8_8 = e1)
% 20.45/5.47 |
% 20.45/5.47 | Equations (423) can reduce 195 to:
% 20.45/5.47 | (172) $false
% 20.45/5.47 |
% 20.45/5.47 |-The branch is then unsatisfiable
% 20.45/5.47 |-Branch two:
% 20.45/5.47 | (423) all_0_8_8 = e1
% 20.45/5.47 | (250) all_0_10_10 = e3
% 20.45/5.47 |
% 20.45/5.47 | Equations (250) can reduce 79 to:
% 20.45/5.47 | (200) ~ (all_0_9_9 = e3)
% 20.45/5.47 |
% 20.45/5.47 | Equations (250) can reduce 52 to:
% 20.45/5.47 | (203) ~ (all_0_11_11 = e3)
% 20.45/5.47 |
% 20.45/5.47 | Simplifying 203 yields:
% 20.45/5.47 | (204) ~ (all_0_11_11 = e3)
% 20.45/5.47 |
% 20.45/5.47 | Equations (250) can reduce 394 to:
% 20.45/5.47 | (147) ~ (e3 = e1)
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (152), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (229), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (230), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (231), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (232), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (233), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (234), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.45/5.47 |
% 20.45/5.47 +-Applying beta-rule and splitting (235), into two cases.
% 20.45/5.47 |-Branch one:
% 20.45/5.47 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.52/5.47 |
% 20.52/5.47 +-Applying beta-rule and splitting (236), into two cases.
% 20.52/5.47 |-Branch one:
% 20.52/5.47 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.52/5.47 |
% 20.52/5.47 +-Applying beta-rule and splitting (237), into two cases.
% 20.52/5.47 |-Branch one:
% 20.52/5.47 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.52/5.47 |
% 20.52/5.47 +-Applying beta-rule and splitting (238), into two cases.
% 20.52/5.47 |-Branch one:
% 20.52/5.47 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.52/5.47 |
% 20.52/5.47 | Applying alpha-rule on (239) yields:
% 20.52/5.47 | (240) all_0_9_9 = e3
% 20.52/5.47 | (241) all_0_12_12 = e3
% 20.52/5.47 | (242) ~ (all_0_13_13 = e2)
% 20.52/5.47 |
% 20.52/5.47 | Equations (240) can reduce 200 to:
% 20.52/5.47 | (172) $false
% 20.52/5.47 |
% 20.52/5.47 |-The branch is then unsatisfiable
% 20.52/5.47 |-Branch two:
% 20.52/5.47 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.52/5.47 |
% 20.52/5.47 | Applying alpha-rule on (244) yields:
% 20.52/5.47 | (245) all_0_9_9 = e2
% 20.52/5.47 | (246) all_0_12_12 = e2
% 20.52/5.47 | (247) ~ (all_0_8_8 = e3)
% 20.52/5.47 |
% 20.52/5.47 | Equations (246) can reduce 711 to:
% 20.52/5.47 | (172) $false
% 20.52/5.47 |
% 20.52/5.47 |-The branch is then unsatisfiable
% 20.52/5.47 |-Branch two:
% 20.52/5.47 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.52/5.47 |
% 20.52/5.47 | Applying alpha-rule on (249) yields:
% 20.52/5.47 | (250) all_0_10_10 = e3
% 20.52/5.48 | (251) all_0_16_16 = e3
% 20.52/5.48 | (252) ~ (all_0_18_18 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Equations (226) can reduce 252 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Applying alpha-rule on (254) yields:
% 20.52/5.48 | (255) all_0_10_10 = e1
% 20.52/5.48 | (256) all_0_16_16 = e1
% 20.52/5.48 | (247) ~ (all_0_8_8 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Combining equations (250,255) yields a new equation:
% 20.52/5.48 | (441) e3 = e1
% 20.52/5.48 |
% 20.52/5.48 | Simplifying 441 yields:
% 20.52/5.48 | (414) e3 = e1
% 20.52/5.48 |
% 20.52/5.48 | Equations (414) can reduce 147 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.52/5.48 |
% 20.52/5.48 | Applying alpha-rule on (259) yields:
% 20.52/5.48 | (260) all_0_11_11 = e3
% 20.52/5.48 | (261) all_0_20_20 = e3
% 20.52/5.48 | (262) ~ (all_0_23_23 = e0)
% 20.52/5.48 |
% 20.52/5.48 | Equations (260) can reduce 204 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Applying alpha-rule on (264) yields:
% 20.52/5.48 | (265) all_0_11_11 = e0
% 20.52/5.48 | (266) all_0_20_20 = e0
% 20.52/5.48 | (247) ~ (all_0_8_8 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Equations (266) can reduce 186 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Applying alpha-rule on (269) yields:
% 20.52/5.48 | (270) all_0_14_14 = e2
% 20.52/5.48 | (271) all_0_17_17 = e2
% 20.52/5.48 | (252) ~ (all_0_18_18 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Equations (226) can reduce 252 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.52/5.48 |
% 20.52/5.48 | Applying alpha-rule on (274) yields:
% 20.52/5.48 | (275) all_0_14_14 = e1
% 20.52/5.48 | (276) all_0_17_17 = e1
% 20.52/5.48 | (242) ~ (all_0_13_13 = e2)
% 20.52/5.48 |
% 20.52/5.48 | Combining equations (270,275) yields a new equation:
% 20.52/5.48 | (716) e2 = e1
% 20.52/5.48 |
% 20.52/5.48 | Simplifying 716 yields:
% 20.52/5.48 | (388) e2 = e1
% 20.52/5.48 |
% 20.52/5.48 | Equations (388) can reduce 49 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.52/5.48 |
% 20.52/5.48 | Applying alpha-rule on (279) yields:
% 20.52/5.48 | (280) all_0_15_15 = e2
% 20.52/5.48 | (281) all_0_21_21 = e2
% 20.52/5.48 | (262) ~ (all_0_23_23 = e0)
% 20.52/5.48 |
% 20.52/5.48 | Equations (280) can reduce 1585 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.52/5.48 |
% 20.52/5.48 | Applying alpha-rule on (284) yields:
% 20.52/5.48 | (285) all_0_15_15 = e0
% 20.52/5.48 | (286) all_0_21_21 = e0
% 20.52/5.48 | (242) ~ (all_0_13_13 = e2)
% 20.52/5.48 |
% 20.52/5.48 | Equations (286) can reduce 187 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.52/5.48 |
% 20.52/5.48 | Applying alpha-rule on (289) yields:
% 20.52/5.48 | (290) all_0_19_19 = e1
% 20.52/5.48 | (291) all_0_22_22 = e1
% 20.52/5.48 | (262) ~ (all_0_23_23 = e0)
% 20.52/5.48 |
% 20.52/5.48 | Combining equations (291,296) yields a new equation:
% 20.52/5.48 | (371) e1 = e0
% 20.52/5.48 |
% 20.52/5.48 | Simplifying 371 yields:
% 20.52/5.48 | (372) e1 = e0
% 20.52/5.48 |
% 20.52/5.48 | Equations (372) can reduce 90 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Applying alpha-rule on (294) yields:
% 20.52/5.48 | (295) all_0_19_19 = e0
% 20.52/5.48 | (296) all_0_22_22 = e0
% 20.52/5.48 | (252) ~ (all_0_18_18 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Equations (226) can reduce 252 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (195) ~ (all_0_8_8 = e1)
% 20.52/5.48 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 20.52/5.48 |
% 20.52/5.48 +-Applying beta-rule and splitting (427), into two cases.
% 20.52/5.48 |-Branch one:
% 20.52/5.48 | (428) all_0_9_9 = e1
% 20.52/5.48 |
% 20.52/5.48 | Equations (428) can reduce 304 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (304) ~ (all_0_9_9 = e1)
% 20.52/5.48 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 20.52/5.48 |
% 20.52/5.48 +-Applying beta-rule and splitting (431), into two cases.
% 20.52/5.48 |-Branch one:
% 20.52/5.48 | (255) all_0_10_10 = e1
% 20.52/5.48 |
% 20.52/5.48 | Equations (255) can reduce 394 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (394) ~ (all_0_10_10 = e1)
% 20.52/5.48 | (437) all_0_11_11 = e1
% 20.52/5.48 |
% 20.52/5.48 | Equations (437) can reduce 600 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (252) ~ (all_0_18_18 = e1)
% 20.52/5.48 | (300) all_0_18_18 = e0
% 20.52/5.48 |
% 20.52/5.48 | Equations (300) can reduce 215 to:
% 20.52/5.48 | (172) $false
% 20.52/5.48 |
% 20.52/5.48 |-The branch is then unsatisfiable
% 20.52/5.48 |-Branch two:
% 20.52/5.48 | (218) all_0_18_18 = e3
% 20.52/5.48 | (256) all_0_16_16 = e1
% 20.52/5.48 |
% 20.52/5.48 | Combining equations (218,9768) yields a new equation:
% 20.52/5.48 | (11404) all_0_5_5 = e3
% 20.52/5.48 |
% 20.52/5.48 | Equations (256) can reduce 104 to:
% 20.52/5.48 | (195) ~ (all_0_8_8 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Equations (218) can reduce 42 to:
% 20.52/5.48 | (202) ~ (all_0_10_10 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Equations (256) can reduce 71 to:
% 20.52/5.48 | (660) ~ (all_0_12_12 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Equations (256) can reduce 148 to:
% 20.52/5.48 | (976) ~ (all_0_17_17 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Simplifying 976 yields:
% 20.52/5.48 | (228) ~ (all_0_17_17 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Equations (256,218) can reduce 108 to:
% 20.52/5.48 | (438) ~ (e3 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Simplifying 438 yields:
% 20.52/5.48 | (147) ~ (e3 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Equations (256) can reduce 151 to:
% 20.52/5.48 | (7355) ~ (all_0_20_20 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Simplifying 7355 yields:
% 20.52/5.48 | (839) ~ (all_0_20_20 = e1)
% 20.52/5.48 |
% 20.52/5.48 | Equations (218) can reduce 121 to:
% 20.52/5.48 | (416) ~ (all_0_17_17 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Equations (218) can reduce 123 to:
% 20.52/5.48 | (1125) ~ (all_0_19_19 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Simplifying 1125 yields:
% 20.52/5.48 | (469) ~ (all_0_19_19 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Equations (218) can reduce 101 to:
% 20.52/5.48 | (880) ~ (all_0_22_22 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Simplifying 880 yields:
% 20.52/5.48 | (881) ~ (all_0_22_22 = e3)
% 20.52/5.48 |
% 20.52/5.48 | Equations (218) can reduce 217 to:
% 20.52/5.48 | (69) ~ (e3 = e2)
% 20.52/5.48 |
% 20.52/5.48 | From (218) and (9769) follows:
% 20.52/5.48 | (11420) op(e3, e2) = all_0_4_4
% 20.52/5.48 |
% 20.52/5.48 +-Applying beta-rule and splitting (66), into two cases.
% 20.52/5.48 |-Branch one:
% 20.52/5.49 | (11421) ~ (all_0_4_4 = e0)
% 20.52/5.49 |
% 20.52/5.49 | Instantiating formula (143) with e3, e2, all_0_4_4, all_0_9_9 and discharging atoms op(e3, e2) = all_0_4_4, op(e3, e2) = all_0_9_9, yields:
% 20.52/5.49 | (11422) all_0_4_4 = all_0_9_9
% 20.52/5.49 |
% 20.52/5.49 | Equations (11422) can reduce 11421 to:
% 20.52/5.49 | (842) ~ (all_0_9_9 = e0)
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (3), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (168) ~ (all_0_23_23 = e1)
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (6), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (437) all_0_11_11 = e1
% 20.52/5.49 |
% 20.52/5.49 | Equations (437) can reduce 39 to:
% 20.52/5.49 | (195) ~ (all_0_8_8 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Equations (437) can reduce 97 to:
% 20.52/5.49 | (304) ~ (all_0_9_9 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Equations (437) can reduce 52 to:
% 20.52/5.49 | (394) ~ (all_0_10_10 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Equations (437) can reduce 98 to:
% 20.52/5.49 | (1658) ~ (all_0_15_15 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 1658 yields:
% 20.52/5.49 | (602) ~ (all_0_15_15 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Equations (437) can reduce 115 to:
% 20.52/5.49 | (309) ~ (all_0_19_19 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 309 yields:
% 20.52/5.49 | (310) ~ (all_0_19_19 = e1)
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (100), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (250) all_0_10_10 = e3
% 20.52/5.49 |
% 20.52/5.49 | Equations (250) can reduce 202 to:
% 20.52/5.49 | (172) $false
% 20.52/5.49 |
% 20.52/5.49 |-The branch is then unsatisfiable
% 20.52/5.49 |-Branch two:
% 20.52/5.49 | (202) ~ (all_0_10_10 = e3)
% 20.52/5.49 | (398) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (398), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (403) all_0_10_10 = e2
% 20.52/5.49 |
% 20.52/5.49 | Equations (403) can reduce 305 to:
% 20.52/5.49 | (172) $false
% 20.52/5.49 |
% 20.52/5.49 |-The branch is then unsatisfiable
% 20.52/5.49 |-Branch two:
% 20.52/5.49 | (305) ~ (all_0_10_10 = e2)
% 20.52/5.49 | (406) all_0_10_10 = e1 | all_0_10_10 = e0
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (406), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (255) all_0_10_10 = e1
% 20.52/5.49 |
% 20.52/5.49 | Equations (255) can reduce 394 to:
% 20.52/5.49 | (172) $false
% 20.52/5.49 |
% 20.52/5.49 |-The branch is then unsatisfiable
% 20.52/5.49 |-Branch two:
% 20.52/5.49 | (394) ~ (all_0_10_10 = e1)
% 20.52/5.49 | (410) all_0_10_10 = e0
% 20.52/5.49 |
% 20.52/5.49 | Equations (410) can reduce 59 to:
% 20.52/5.49 | (197) ~ (all_0_8_8 = e0)
% 20.52/5.49 |
% 20.52/5.49 | Equations (410) can reduce 79 to:
% 20.52/5.49 | (842) ~ (all_0_9_9 = e0)
% 20.52/5.49 |
% 20.52/5.49 | Equations (410) can reduce 145 to:
% 20.52/5.49 | (514) ~ (all_0_22_22 = e0)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 514 yields:
% 20.52/5.49 | (188) ~ (all_0_22_22 = e0)
% 20.52/5.49 |
% 20.52/5.49 | Equations (410) can reduce 305 to:
% 20.52/5.49 | (191) ~ (e2 = e0)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 191 yields:
% 20.52/5.49 | (137) ~ (e2 = e0)
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (47), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (902) all_0_22_22 = e3
% 20.52/5.49 |
% 20.52/5.49 | Equations (902) can reduce 881 to:
% 20.52/5.49 | (172) $false
% 20.52/5.49 |
% 20.52/5.49 |-The branch is then unsatisfiable
% 20.52/5.49 |-Branch two:
% 20.52/5.49 | (881) ~ (all_0_22_22 = e3)
% 20.52/5.49 | (905) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (905), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (725) all_0_22_22 = e2
% 20.52/5.49 |
% 20.52/5.49 | Equations (725) can reduce 933 to:
% 20.52/5.49 | (172) $false
% 20.52/5.49 |
% 20.52/5.49 |-The branch is then unsatisfiable
% 20.52/5.49 |-Branch two:
% 20.52/5.49 | (933) ~ (all_0_22_22 = e2)
% 20.52/5.49 | (934) all_0_22_22 = e1 | all_0_22_22 = e0
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (934), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (291) all_0_22_22 = e1
% 20.52/5.49 |
% 20.52/5.49 | Equations (291) can reduce 55 to:
% 20.52/5.49 | (11460) ~ (all_0_23_23 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 11460 yields:
% 20.52/5.49 | (168) ~ (all_0_23_23 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Equations (291) can reduce 933 to:
% 20.52/5.49 | (307) ~ (e2 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 307 yields:
% 20.52/5.49 | (49) ~ (e2 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Equations (291) can reduce 188 to:
% 20.52/5.49 | (90) ~ (e1 = e0)
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (140), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (196) ~ (all_0_8_8 = e2)
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (94), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (198) all_0_8_8 = e3
% 20.52/5.49 |
% 20.52/5.49 | Equations (198) can reduce 113 to:
% 20.52/5.49 | (199) ~ (all_0_9_9 = e3)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 199 yields:
% 20.52/5.49 | (200) ~ (all_0_9_9 = e3)
% 20.52/5.49 |
% 20.52/5.49 | Equations (198) can reduce 196 to:
% 20.52/5.49 | (69) ~ (e3 = e2)
% 20.52/5.49 |
% 20.52/5.49 | Equations (198) can reduce 195 to:
% 20.52/5.49 | (147) ~ (e3 = e1)
% 20.52/5.49 |
% 20.52/5.49 | Equations (198) can reduce 197 to:
% 20.52/5.49 | (107) ~ (e3 = e0)
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (82), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (1100) all_0_8_8 = e2
% 20.52/5.49 |
% 20.52/5.49 | Combining equations (1100,198) yields a new equation:
% 20.52/5.49 | (533) e3 = e2
% 20.52/5.49 |
% 20.52/5.49 | Equations (533) can reduce 69 to:
% 20.52/5.49 | (172) $false
% 20.52/5.49 |
% 20.52/5.49 |-The branch is then unsatisfiable
% 20.52/5.49 |-Branch two:
% 20.52/5.49 | (196) ~ (all_0_8_8 = e2)
% 20.52/5.49 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (1193), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (245) all_0_9_9 = e2
% 20.52/5.49 |
% 20.52/5.49 | Equations (245) can reduce 13 to:
% 20.52/5.49 | (2535) ~ (all_0_17_17 = e2)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 2535 yields:
% 20.52/5.49 | (1004) ~ (all_0_17_17 = e2)
% 20.52/5.49 |
% 20.52/5.49 | Equations (245) can reduce 17 to:
% 20.52/5.49 | (3039) ~ (all_0_21_21 = e2)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 3039 yields:
% 20.52/5.49 | (1811) ~ (all_0_21_21 = e2)
% 20.52/5.49 |
% 20.52/5.49 | Equations (245) can reduce 200 to:
% 20.52/5.49 | (499) ~ (e3 = e2)
% 20.52/5.49 |
% 20.52/5.49 | Simplifying 499 yields:
% 20.52/5.49 | (69) ~ (e3 = e2)
% 20.52/5.49 |
% 20.52/5.49 | Equations (245) can reduce 304 to:
% 20.52/5.49 | (49) ~ (e2 = e1)
% 20.52/5.49 |
% 20.52/5.49 +-Applying beta-rule and splitting (152), into two cases.
% 20.52/5.49 |-Branch one:
% 20.52/5.49 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (229), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (230), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (231), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (232), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (233), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (234), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (235), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (236), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (237), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.52/5.50 |
% 20.52/5.50 +-Applying beta-rule and splitting (238), into two cases.
% 20.52/5.50 |-Branch one:
% 20.52/5.50 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.52/5.50 |
% 20.52/5.50 | Applying alpha-rule on (239) yields:
% 20.52/5.50 | (240) all_0_9_9 = e3
% 20.52/5.50 | (241) all_0_12_12 = e3
% 20.52/5.50 | (242) ~ (all_0_13_13 = e2)
% 20.52/5.50 |
% 20.52/5.50 | Combining equations (245,240) yields a new equation:
% 20.52/5.50 | (533) e3 = e2
% 20.52/5.50 |
% 20.52/5.50 | Equations (533) can reduce 69 to:
% 20.52/5.50 | (172) $false
% 20.52/5.50 |
% 20.52/5.50 |-The branch is then unsatisfiable
% 20.52/5.50 |-Branch two:
% 20.52/5.50 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.52/5.50 |
% 20.52/5.50 | Applying alpha-rule on (244) yields:
% 20.52/5.50 | (245) all_0_9_9 = e2
% 20.52/5.50 | (246) all_0_12_12 = e2
% 20.52/5.50 | (247) ~ (all_0_8_8 = e3)
% 20.52/5.50 |
% 20.52/5.50 | Equations (246) can reduce 711 to:
% 20.52/5.50 | (172) $false
% 20.52/5.50 |
% 20.52/5.50 |-The branch is then unsatisfiable
% 20.52/5.50 |-Branch two:
% 20.52/5.50 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.52/5.50 |
% 20.52/5.50 | Applying alpha-rule on (249) yields:
% 20.52/5.50 | (250) all_0_10_10 = e3
% 20.52/5.50 | (251) all_0_16_16 = e3
% 20.52/5.50 | (252) ~ (all_0_18_18 = e1)
% 20.52/5.50 |
% 20.52/5.50 | Combining equations (250,410) yields a new equation:
% 20.52/5.50 | (364) e3 = e0
% 20.52/5.50 |
% 20.52/5.50 | Simplifying 364 yields:
% 20.52/5.50 | (365) e3 = e0
% 20.52/5.50 |
% 20.52/5.50 | Combining equations (256,251) yields a new equation:
% 20.52/5.50 | (414) e3 = e1
% 20.52/5.50 |
% 20.52/5.50 | Combining equations (414,365) yields a new equation:
% 20.52/5.50 | (371) e1 = e0
% 20.52/5.50 |
% 20.52/5.50 | Simplifying 371 yields:
% 20.52/5.50 | (372) e1 = e0
% 20.52/5.50 |
% 20.52/5.50 | Equations (372) can reduce 90 to:
% 20.52/5.50 | (172) $false
% 20.52/5.50 |
% 20.52/5.50 |-The branch is then unsatisfiable
% 20.52/5.50 |-Branch two:
% 20.52/5.50 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.52/5.50 |
% 20.52/5.50 | Applying alpha-rule on (254) yields:
% 20.52/5.50 | (255) all_0_10_10 = e1
% 20.52/5.50 | (256) all_0_16_16 = e1
% 20.52/5.50 | (247) ~ (all_0_8_8 = e3)
% 20.52/5.50 |
% 20.52/5.50 | Combining equations (255,410) yields a new equation:
% 20.52/5.50 | (371) e1 = e0
% 20.52/5.50 |
% 20.52/5.50 | Simplifying 371 yields:
% 20.52/5.50 | (372) e1 = e0
% 20.52/5.50 |
% 20.52/5.50 | Equations (372) can reduce 90 to:
% 20.52/5.50 | (172) $false
% 20.52/5.50 |
% 20.52/5.50 |-The branch is then unsatisfiable
% 20.52/5.50 |-Branch two:
% 20.52/5.50 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.52/5.50 |
% 20.52/5.50 | Applying alpha-rule on (259) yields:
% 20.52/5.50 | (260) all_0_11_11 = e3
% 20.52/5.50 | (261) all_0_20_20 = e3
% 20.52/5.50 | (262) ~ (all_0_23_23 = e0)
% 20.52/5.50 |
% 20.52/5.50 | Combining equations (260,437) yields a new equation:
% 20.52/5.51 | (441) e3 = e1
% 20.52/5.51 |
% 20.52/5.51 | Simplifying 441 yields:
% 20.52/5.51 | (414) e3 = e1
% 20.52/5.51 |
% 20.52/5.51 | Equations (414) can reduce 147 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.52/5.51 |
% 20.52/5.51 | Applying alpha-rule on (264) yields:
% 20.52/5.51 | (265) all_0_11_11 = e0
% 20.52/5.51 | (266) all_0_20_20 = e0
% 20.52/5.51 | (247) ~ (all_0_8_8 = e3)
% 20.52/5.51 |
% 20.52/5.51 | Combining equations (265,437) yields a new equation:
% 20.52/5.51 | (372) e1 = e0
% 20.52/5.51 |
% 20.52/5.51 | Equations (372) can reduce 90 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.52/5.51 |
% 20.52/5.51 | Applying alpha-rule on (269) yields:
% 20.52/5.51 | (270) all_0_14_14 = e2
% 20.52/5.51 | (271) all_0_17_17 = e2
% 20.52/5.51 | (252) ~ (all_0_18_18 = e1)
% 20.52/5.51 |
% 20.52/5.51 | Equations (271) can reduce 1004 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.52/5.51 |
% 20.52/5.51 | Applying alpha-rule on (274) yields:
% 20.52/5.51 | (275) all_0_14_14 = e1
% 20.52/5.51 | (276) all_0_17_17 = e1
% 20.52/5.51 | (242) ~ (all_0_13_13 = e2)
% 20.52/5.51 |
% 20.52/5.51 | Combining equations (275,270) yields a new equation:
% 20.52/5.51 | (388) e2 = e1
% 20.52/5.51 |
% 20.52/5.51 | Equations (388) can reduce 49 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.52/5.51 |
% 20.52/5.51 | Applying alpha-rule on (279) yields:
% 20.52/5.51 | (280) all_0_15_15 = e2
% 20.52/5.51 | (281) all_0_21_21 = e2
% 20.52/5.51 | (262) ~ (all_0_23_23 = e0)
% 20.52/5.51 |
% 20.52/5.51 | Equations (281) can reduce 1811 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.52/5.51 |
% 20.52/5.51 | Applying alpha-rule on (284) yields:
% 20.52/5.51 | (285) all_0_15_15 = e0
% 20.52/5.51 | (286) all_0_21_21 = e0
% 20.52/5.51 | (242) ~ (all_0_13_13 = e2)
% 20.52/5.51 |
% 20.52/5.51 +-Applying beta-rule and splitting (58), into two cases.
% 20.52/5.51 |-Branch one:
% 20.52/5.51 | (613) all_0_8_8 = e0
% 20.52/5.51 |
% 20.52/5.51 | Combining equations (613,198) yields a new equation:
% 20.52/5.51 | (365) e3 = e0
% 20.52/5.51 |
% 20.52/5.51 | Equations (365) can reduce 107 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (197) ~ (all_0_8_8 = e0)
% 20.52/5.51 | (623) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 20.52/5.51 |
% 20.52/5.51 | Equations (198) can reduce 197 to:
% 20.52/5.51 | (107) ~ (e3 = e0)
% 20.52/5.51 |
% 20.52/5.51 +-Applying beta-rule and splitting (133), into two cases.
% 20.52/5.51 |-Branch one:
% 20.52/5.51 | (240) all_0_9_9 = e3
% 20.52/5.51 |
% 20.52/5.51 | Combining equations (240,245) yields a new equation:
% 20.52/5.51 | (532) e3 = e2
% 20.52/5.51 |
% 20.52/5.51 | Simplifying 532 yields:
% 20.52/5.51 | (533) e3 = e2
% 20.52/5.51 |
% 20.52/5.51 | Equations (533) can reduce 69 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (200) ~ (all_0_9_9 = e3)
% 20.52/5.51 | (319) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 20.52/5.51 |
% 20.52/5.51 +-Applying beta-rule and splitting (319), into two cases.
% 20.52/5.51 |-Branch one:
% 20.52/5.51 | (336) all_0_13_13 = e3
% 20.52/5.51 |
% 20.52/5.51 | Combining equations (679,336) yields a new equation:
% 20.52/5.51 | (414) e3 = e1
% 20.52/5.51 |
% 20.52/5.51 | Equations (414) can reduce 147 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (216) ~ (all_0_13_13 = e3)
% 20.52/5.51 | (402) all_0_17_17 = e3 | all_0_21_21 = e3
% 20.52/5.51 |
% 20.52/5.51 +-Applying beta-rule and splitting (402), into two cases.
% 20.52/5.51 |-Branch one:
% 20.52/5.51 | (413) all_0_17_17 = e3
% 20.52/5.51 |
% 20.52/5.51 | Equations (413) can reduce 416 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (416) ~ (all_0_17_17 = e3)
% 20.52/5.51 | (417) all_0_21_21 = e3
% 20.52/5.51 |
% 20.52/5.51 | Combining equations (417,286) yields a new equation:
% 20.52/5.51 | (364) e3 = e0
% 20.52/5.51 |
% 20.52/5.51 | Simplifying 364 yields:
% 20.52/5.51 | (365) e3 = e0
% 20.52/5.51 |
% 20.52/5.51 | Equations (365) can reduce 107 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.52/5.51 |
% 20.52/5.51 | Applying alpha-rule on (289) yields:
% 20.52/5.51 | (290) all_0_19_19 = e1
% 20.52/5.51 | (291) all_0_22_22 = e1
% 20.52/5.51 | (262) ~ (all_0_23_23 = e0)
% 20.52/5.51 |
% 20.52/5.51 | Equations (290) can reduce 310 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.52/5.51 |
% 20.52/5.51 | Applying alpha-rule on (294) yields:
% 20.52/5.51 | (295) all_0_19_19 = e0
% 20.52/5.51 | (296) all_0_22_22 = e0
% 20.52/5.51 | (252) ~ (all_0_18_18 = e1)
% 20.52/5.51 |
% 20.52/5.51 | Combining equations (291,296) yields a new equation:
% 20.52/5.51 | (371) e1 = e0
% 20.52/5.51 |
% 20.52/5.51 | Simplifying 371 yields:
% 20.52/5.51 | (372) e1 = e0
% 20.52/5.51 |
% 20.52/5.51 | Equations (372) can reduce 90 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (636) ~ (all_0_9_9 = e2)
% 20.52/5.51 | (4507) all_0_10_10 = e2 | all_0_11_11 = e2
% 20.52/5.51 |
% 20.52/5.51 +-Applying beta-rule and splitting (4507), into two cases.
% 20.52/5.51 |-Branch one:
% 20.52/5.51 | (403) all_0_10_10 = e2
% 20.52/5.51 |
% 20.52/5.51 | Combining equations (410,403) yields a new equation:
% 20.52/5.51 | (490) e2 = e0
% 20.52/5.51 |
% 20.52/5.51 | Equations (490) can reduce 137 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (305) ~ (all_0_10_10 = e2)
% 20.52/5.51 | (635) all_0_11_11 = e2
% 20.52/5.51 |
% 20.52/5.51 | Combining equations (635,437) yields a new equation:
% 20.52/5.51 | (716) e2 = e1
% 20.52/5.51 |
% 20.52/5.51 | Simplifying 716 yields:
% 20.52/5.51 | (388) e2 = e1
% 20.52/5.51 |
% 20.52/5.51 | Equations (388) can reduce 49 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (247) ~ (all_0_8_8 = e3)
% 20.52/5.51 | (1099) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 20.52/5.51 |
% 20.52/5.51 +-Applying beta-rule and splitting (82), into two cases.
% 20.52/5.51 |-Branch one:
% 20.52/5.51 | (1100) all_0_8_8 = e2
% 20.52/5.51 |
% 20.52/5.51 | Equations (1100) can reduce 196 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (196) ~ (all_0_8_8 = e2)
% 20.52/5.51 | (1193) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 20.52/5.51 |
% 20.52/5.51 +-Applying beta-rule and splitting (1099), into two cases.
% 20.52/5.51 |-Branch one:
% 20.52/5.51 | (1100) all_0_8_8 = e2
% 20.52/5.51 |
% 20.52/5.51 | Equations (1100) can reduce 196 to:
% 20.52/5.51 | (172) $false
% 20.52/5.51 |
% 20.52/5.51 |-The branch is then unsatisfiable
% 20.52/5.51 |-Branch two:
% 20.52/5.51 | (196) ~ (all_0_8_8 = e2)
% 20.52/5.51 | (1103) all_0_8_8 = e1 | all_0_8_8 = e0
% 20.52/5.51 |
% 20.52/5.51 +-Applying beta-rule and splitting (1103), into two cases.
% 20.52/5.51 |-Branch one:
% 20.52/5.51 | (423) all_0_8_8 = e1
% 20.67/5.51 |
% 20.67/5.51 | Equations (423) can reduce 195 to:
% 20.67/5.51 | (172) $false
% 20.67/5.51 |
% 20.67/5.51 |-The branch is then unsatisfiable
% 20.67/5.51 |-Branch two:
% 20.67/5.51 | (195) ~ (all_0_8_8 = e1)
% 20.67/5.51 | (613) all_0_8_8 = e0
% 20.67/5.51 |
% 20.67/5.51 | Equations (613) can reduce 197 to:
% 20.67/5.51 | (172) $false
% 20.67/5.51 |
% 20.67/5.51 |-The branch is then unsatisfiable
% 20.67/5.51 |-Branch two:
% 20.67/5.51 | (1100) all_0_8_8 = e2
% 20.67/5.51 | (240) all_0_9_9 = e3
% 20.67/5.51 |
% 20.67/5.52 | Equations (1100,240) can reduce 113 to:
% 20.67/5.52 | (499) ~ (e3 = e2)
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 499 yields:
% 20.67/5.52 | (69) ~ (e3 = e2)
% 20.67/5.52 |
% 20.67/5.52 | Equations (1100) can reduce 35 to:
% 20.67/5.52 | (1604) ~ (all_0_12_12 = e2)
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 1604 yields:
% 20.67/5.52 | (711) ~ (all_0_12_12 = e2)
% 20.67/5.52 |
% 20.67/5.52 | Equations (1100) can reduce 195 to:
% 20.67/5.52 | (49) ~ (e2 = e1)
% 20.67/5.52 |
% 20.67/5.52 | Equations (1100) can reduce 197 to:
% 20.67/5.52 | (137) ~ (e2 = e0)
% 20.67/5.52 |
% 20.67/5.52 | Equations (240) can reduce 304 to:
% 20.67/5.52 | (147) ~ (e3 = e1)
% 20.67/5.52 |
% 20.67/5.52 | Equations (240) can reduce 842 to:
% 20.67/5.52 | (107) ~ (e3 = e0)
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (51), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (198) all_0_8_8 = e3
% 20.67/5.52 |
% 20.67/5.52 | Combining equations (198,1100) yields a new equation:
% 20.67/5.52 | (532) e3 = e2
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 532 yields:
% 20.67/5.52 | (533) e3 = e2
% 20.67/5.52 |
% 20.67/5.52 | Equations (533) can reduce 69 to:
% 20.67/5.52 | (172) $false
% 20.67/5.52 |
% 20.67/5.52 |-The branch is then unsatisfiable
% 20.67/5.52 |-Branch two:
% 20.67/5.52 | (247) ~ (all_0_8_8 = e3)
% 20.67/5.52 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (4222), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (727) all_0_13_13 = e2
% 20.67/5.52 |
% 20.67/5.52 | Combining equations (679,727) yields a new equation:
% 20.67/5.52 | (388) e2 = e1
% 20.67/5.52 |
% 20.67/5.52 | Equations (388) can reduce 49 to:
% 20.67/5.52 | (172) $false
% 20.67/5.52 |
% 20.67/5.52 |-The branch is then unsatisfiable
% 20.67/5.52 |-Branch two:
% 20.67/5.52 | (242) ~ (all_0_13_13 = e2)
% 20.67/5.52 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 20.67/5.52 |
% 20.67/5.52 | Equations (679) can reduce 242 to:
% 20.67/5.52 | (307) ~ (e2 = e1)
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 307 yields:
% 20.67/5.52 | (49) ~ (e2 = e1)
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (4238), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (226) all_0_18_18 = e1
% 20.67/5.52 |
% 20.67/5.52 | Combining equations (218,226) yields a new equation:
% 20.67/5.52 | (441) e3 = e1
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 441 yields:
% 20.67/5.52 | (414) e3 = e1
% 20.67/5.52 |
% 20.67/5.52 | Equations (414) can reduce 147 to:
% 20.67/5.52 | (172) $false
% 20.67/5.52 |
% 20.67/5.52 |-The branch is then unsatisfiable
% 20.67/5.52 |-Branch two:
% 20.67/5.52 | (252) ~ (all_0_18_18 = e1)
% 20.67/5.52 | (182) all_0_23_23 = e0
% 20.67/5.52 |
% 20.67/5.52 | Equations (182) can reduce 46 to:
% 20.67/5.52 | (184) ~ (all_0_15_15 = e0)
% 20.67/5.52 |
% 20.67/5.52 | Equations (182) can reduce 7 to:
% 20.67/5.52 | (185) ~ (all_0_19_19 = e0)
% 20.67/5.52 |
% 20.67/5.52 | Equations (182) can reduce 168 to:
% 20.67/5.52 | (193) ~ (e1 = e0)
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 193 yields:
% 20.67/5.52 | (90) ~ (e1 = e0)
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (54), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (320) all_0_16_16 = e0
% 20.67/5.52 |
% 20.67/5.52 | Combining equations (256,320) yields a new equation:
% 20.67/5.52 | (371) e1 = e0
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 371 yields:
% 20.67/5.52 | (372) e1 = e0
% 20.67/5.52 |
% 20.67/5.52 | Equations (372) can reduce 90 to:
% 20.67/5.52 | (172) $false
% 20.67/5.52 |
% 20.67/5.52 |-The branch is then unsatisfiable
% 20.67/5.52 |-Branch two:
% 20.67/5.52 | (480) ~ (all_0_16_16 = e0)
% 20.67/5.52 | (481) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 20.67/5.52 |
% 20.67/5.52 | Equations (256) can reduce 480 to:
% 20.67/5.52 | (90) ~ (e1 = e0)
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (157), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (327) all_0_19_19 = e3
% 20.67/5.52 |
% 20.67/5.52 | Equations (327) can reduce 469 to:
% 20.67/5.52 | (172) $false
% 20.67/5.52 |
% 20.67/5.52 |-The branch is then unsatisfiable
% 20.67/5.52 |-Branch two:
% 20.67/5.52 | (469) ~ (all_0_19_19 = e3)
% 20.67/5.52 | (470) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (28), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (419) all_0_15_15 = e3
% 20.67/5.52 |
% 20.67/5.52 | Equations (419) can reduce 162 to:
% 20.67/5.52 | (206) ~ (all_0_12_12 = e3)
% 20.67/5.52 |
% 20.67/5.52 | Equations (419) can reduce 1585 to:
% 20.67/5.52 | (69) ~ (e3 = e2)
% 20.67/5.52 |
% 20.67/5.52 | Equations (419) can reduce 602 to:
% 20.67/5.52 | (147) ~ (e3 = e1)
% 20.67/5.52 |
% 20.67/5.52 | Equations (419) can reduce 184 to:
% 20.67/5.52 | (107) ~ (e3 = e0)
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (92), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (501) all_0_12_12 = e0
% 20.67/5.52 |
% 20.67/5.52 | Equations (501) can reduce 206 to:
% 20.67/5.52 | (189) ~ (e3 = e0)
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 189 yields:
% 20.67/5.52 | (107) ~ (e3 = e0)
% 20.67/5.52 |
% 20.67/5.52 | Equations (501) can reduce 711 to:
% 20.67/5.52 | (191) ~ (e2 = e0)
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 191 yields:
% 20.67/5.52 | (137) ~ (e2 = e0)
% 20.67/5.52 |
% 20.67/5.52 | Equations (501) can reduce 660 to:
% 20.67/5.52 | (193) ~ (e1 = e0)
% 20.67/5.52 |
% 20.67/5.52 | Simplifying 193 yields:
% 20.67/5.52 | (90) ~ (e1 = e0)
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (152), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (229), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (230), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (231), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (232), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (233), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.67/5.52 |
% 20.67/5.52 +-Applying beta-rule and splitting (234), into two cases.
% 20.67/5.52 |-Branch one:
% 20.67/5.52 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.67/5.53 |
% 20.67/5.53 +-Applying beta-rule and splitting (235), into two cases.
% 20.67/5.53 |-Branch one:
% 20.67/5.53 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.67/5.53 |
% 20.67/5.53 +-Applying beta-rule and splitting (236), into two cases.
% 20.67/5.53 |-Branch one:
% 20.67/5.53 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.67/5.53 |
% 20.67/5.53 +-Applying beta-rule and splitting (237), into two cases.
% 20.67/5.53 |-Branch one:
% 20.67/5.53 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.67/5.53 |
% 20.67/5.53 +-Applying beta-rule and splitting (238), into two cases.
% 20.67/5.53 |-Branch one:
% 20.67/5.53 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (239) yields:
% 20.67/5.53 | (240) all_0_9_9 = e3
% 20.67/5.53 | (241) all_0_12_12 = e3
% 20.67/5.53 | (242) ~ (all_0_13_13 = e2)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (501,241) yields a new equation:
% 20.67/5.53 | (365) e3 = e0
% 20.67/5.53 |
% 20.67/5.53 | Equations (365) can reduce 107 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (244) yields:
% 20.67/5.53 | (245) all_0_9_9 = e2
% 20.67/5.53 | (246) all_0_12_12 = e2
% 20.67/5.53 | (247) ~ (all_0_8_8 = e3)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (501,246) yields a new equation:
% 20.67/5.53 | (490) e2 = e0
% 20.67/5.53 |
% 20.67/5.53 | Equations (490) can reduce 137 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (249) yields:
% 20.67/5.53 | (250) all_0_10_10 = e3
% 20.67/5.53 | (251) all_0_16_16 = e3
% 20.67/5.53 | (252) ~ (all_0_18_18 = e1)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (250,410) yields a new equation:
% 20.67/5.53 | (364) e3 = e0
% 20.67/5.53 |
% 20.67/5.53 | Simplifying 364 yields:
% 20.67/5.53 | (365) e3 = e0
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (256,251) yields a new equation:
% 20.67/5.53 | (414) e3 = e1
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (365,414) yields a new equation:
% 20.67/5.53 | (372) e1 = e0
% 20.67/5.53 |
% 20.67/5.53 | Equations (372) can reduce 90 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (254) yields:
% 20.67/5.53 | (255) all_0_10_10 = e1
% 20.67/5.53 | (256) all_0_16_16 = e1
% 20.67/5.53 | (247) ~ (all_0_8_8 = e3)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (255,410) yields a new equation:
% 20.67/5.53 | (371) e1 = e0
% 20.67/5.53 |
% 20.67/5.53 | Simplifying 371 yields:
% 20.67/5.53 | (372) e1 = e0
% 20.67/5.53 |
% 20.67/5.53 | Equations (372) can reduce 90 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (259) yields:
% 20.67/5.53 | (260) all_0_11_11 = e3
% 20.67/5.53 | (261) all_0_20_20 = e3
% 20.67/5.53 | (262) ~ (all_0_23_23 = e0)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (260,437) yields a new equation:
% 20.67/5.53 | (441) e3 = e1
% 20.67/5.53 |
% 20.67/5.53 | Simplifying 441 yields:
% 20.67/5.53 | (414) e3 = e1
% 20.67/5.53 |
% 20.67/5.53 | Equations (414) can reduce 147 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (264) yields:
% 20.67/5.53 | (265) all_0_11_11 = e0
% 20.67/5.53 | (266) all_0_20_20 = e0
% 20.67/5.53 | (247) ~ (all_0_8_8 = e3)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (265,437) yields a new equation:
% 20.67/5.53 | (372) e1 = e0
% 20.67/5.53 |
% 20.67/5.53 | Equations (372) can reduce 90 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (269) yields:
% 20.67/5.53 | (270) all_0_14_14 = e2
% 20.67/5.53 | (271) all_0_17_17 = e2
% 20.67/5.53 | (252) ~ (all_0_18_18 = e1)
% 20.67/5.53 |
% 20.67/5.53 | Equations (271) can reduce 150 to:
% 20.67/5.53 | (313) ~ (all_0_19_19 = e2)
% 20.67/5.53 |
% 20.67/5.53 | Simplifying 313 yields:
% 20.67/5.53 | (314) ~ (all_0_19_19 = e2)
% 20.67/5.53 |
% 20.67/5.53 +-Applying beta-rule and splitting (470), into two cases.
% 20.67/5.53 |-Branch one:
% 20.67/5.53 | (471) all_0_19_19 = e2
% 20.67/5.53 |
% 20.67/5.53 | Equations (471) can reduce 314 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (314) ~ (all_0_19_19 = e2)
% 20.67/5.53 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 20.67/5.53 |
% 20.67/5.53 +-Applying beta-rule and splitting (474), into two cases.
% 20.67/5.53 |-Branch one:
% 20.67/5.53 | (290) all_0_19_19 = e1
% 20.67/5.53 |
% 20.67/5.53 | Equations (290) can reduce 310 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (310) ~ (all_0_19_19 = e1)
% 20.67/5.53 | (295) all_0_19_19 = e0
% 20.67/5.53 |
% 20.67/5.53 | Equations (295) can reduce 185 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (274) yields:
% 20.67/5.53 | (275) all_0_14_14 = e1
% 20.67/5.53 | (276) all_0_17_17 = e1
% 20.67/5.53 | (242) ~ (all_0_13_13 = e2)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (275,270) yields a new equation:
% 20.67/5.53 | (388) e2 = e1
% 20.67/5.53 |
% 20.67/5.53 | Equations (388) can reduce 49 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (279) yields:
% 20.67/5.53 | (280) all_0_15_15 = e2
% 20.67/5.53 | (281) all_0_21_21 = e2
% 20.67/5.53 | (262) ~ (all_0_23_23 = e0)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (280,419) yields a new equation:
% 20.67/5.53 | (533) e3 = e2
% 20.67/5.53 |
% 20.67/5.53 | Equations (533) can reduce 69 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (284) yields:
% 20.67/5.53 | (285) all_0_15_15 = e0
% 20.67/5.53 | (286) all_0_21_21 = e0
% 20.67/5.53 | (242) ~ (all_0_13_13 = e2)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (285,419) yields a new equation:
% 20.67/5.53 | (365) e3 = e0
% 20.67/5.53 |
% 20.67/5.53 | Equations (365) can reduce 107 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (289) yields:
% 20.67/5.53 | (290) all_0_19_19 = e1
% 20.67/5.53 | (291) all_0_22_22 = e1
% 20.67/5.53 | (262) ~ (all_0_23_23 = e0)
% 20.67/5.53 |
% 20.67/5.53 | Equations (182) can reduce 262 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.67/5.53 |
% 20.67/5.53 | Applying alpha-rule on (294) yields:
% 20.67/5.53 | (295) all_0_19_19 = e0
% 20.67/5.53 | (296) all_0_22_22 = e0
% 20.67/5.53 | (252) ~ (all_0_18_18 = e1)
% 20.67/5.53 |
% 20.67/5.53 | Combining equations (296,291) yields a new equation:
% 20.67/5.53 | (372) e1 = e0
% 20.67/5.53 |
% 20.67/5.53 | Equations (372) can reduce 90 to:
% 20.67/5.53 | (172) $false
% 20.67/5.53 |
% 20.67/5.53 |-The branch is then unsatisfiable
% 20.67/5.53 |-Branch two:
% 20.67/5.53 | (505) ~ (all_0_12_12 = e0)
% 20.67/5.53 | (506) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 20.67/5.53 |
% 20.67/5.53 +-Applying beta-rule and splitting (152), into two cases.
% 20.67/5.53 |-Branch one:
% 20.67/5.53 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.67/5.53 |
% 20.67/5.53 +-Applying beta-rule and splitting (229), into two cases.
% 20.67/5.53 |-Branch one:
% 20.67/5.53 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.67/5.54 |
% 20.67/5.54 +-Applying beta-rule and splitting (230), into two cases.
% 20.67/5.54 |-Branch one:
% 20.67/5.54 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.67/5.54 |
% 20.67/5.54 +-Applying beta-rule and splitting (231), into two cases.
% 20.67/5.54 |-Branch one:
% 20.67/5.54 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.67/5.54 |
% 20.67/5.54 +-Applying beta-rule and splitting (232), into two cases.
% 20.67/5.54 |-Branch one:
% 20.67/5.54 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.67/5.54 |
% 20.67/5.54 +-Applying beta-rule and splitting (233), into two cases.
% 20.67/5.54 |-Branch one:
% 20.67/5.54 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.75/5.54 |
% 20.75/5.54 +-Applying beta-rule and splitting (234), into two cases.
% 20.75/5.54 |-Branch one:
% 20.75/5.54 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.75/5.54 |
% 20.75/5.54 +-Applying beta-rule and splitting (235), into two cases.
% 20.75/5.54 |-Branch one:
% 20.75/5.54 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.75/5.54 |
% 20.75/5.54 +-Applying beta-rule and splitting (236), into two cases.
% 20.75/5.54 |-Branch one:
% 20.75/5.54 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.75/5.54 |
% 20.75/5.54 +-Applying beta-rule and splitting (237), into two cases.
% 20.75/5.54 |-Branch one:
% 20.75/5.54 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.75/5.54 |
% 20.75/5.54 +-Applying beta-rule and splitting (238), into two cases.
% 20.75/5.54 |-Branch one:
% 20.75/5.54 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.75/5.54 |
% 20.75/5.54 | Applying alpha-rule on (239) yields:
% 20.75/5.54 | (240) all_0_9_9 = e3
% 20.75/5.54 | (241) all_0_12_12 = e3
% 20.75/5.54 | (242) ~ (all_0_13_13 = e2)
% 20.75/5.54 |
% 20.75/5.54 | Equations (241) can reduce 206 to:
% 20.75/5.54 | (172) $false
% 20.75/5.54 |
% 20.75/5.54 |-The branch is then unsatisfiable
% 20.75/5.54 |-Branch two:
% 20.75/5.54 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.75/5.54 |
% 20.75/5.54 | Applying alpha-rule on (244) yields:
% 20.75/5.54 | (245) all_0_9_9 = e2
% 20.75/5.54 | (246) all_0_12_12 = e2
% 20.75/5.54 | (247) ~ (all_0_8_8 = e3)
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (245,240) yields a new equation:
% 20.75/5.54 | (533) e3 = e2
% 20.75/5.54 |
% 20.75/5.54 | Equations (533) can reduce 69 to:
% 20.75/5.54 | (172) $false
% 20.75/5.54 |
% 20.75/5.54 |-The branch is then unsatisfiable
% 20.75/5.54 |-Branch two:
% 20.75/5.54 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.75/5.54 |
% 20.75/5.54 | Applying alpha-rule on (249) yields:
% 20.75/5.54 | (250) all_0_10_10 = e3
% 20.75/5.54 | (251) all_0_16_16 = e3
% 20.75/5.54 | (252) ~ (all_0_18_18 = e1)
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (250,410) yields a new equation:
% 20.75/5.54 | (364) e3 = e0
% 20.75/5.54 |
% 20.75/5.54 | Simplifying 364 yields:
% 20.75/5.54 | (365) e3 = e0
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (256,251) yields a new equation:
% 20.75/5.54 | (414) e3 = e1
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (365,414) yields a new equation:
% 20.75/5.54 | (372) e1 = e0
% 20.75/5.54 |
% 20.75/5.54 | Equations (372) can reduce 90 to:
% 20.75/5.54 | (172) $false
% 20.75/5.54 |
% 20.75/5.54 |-The branch is then unsatisfiable
% 20.75/5.54 |-Branch two:
% 20.75/5.54 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.75/5.54 |
% 20.75/5.54 | Applying alpha-rule on (254) yields:
% 20.75/5.54 | (255) all_0_10_10 = e1
% 20.75/5.54 | (256) all_0_16_16 = e1
% 20.75/5.54 | (247) ~ (all_0_8_8 = e3)
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (255,410) yields a new equation:
% 20.75/5.54 | (371) e1 = e0
% 20.75/5.54 |
% 20.75/5.54 | Simplifying 371 yields:
% 20.75/5.54 | (372) e1 = e0
% 20.75/5.54 |
% 20.75/5.54 | Equations (372) can reduce 90 to:
% 20.75/5.54 | (172) $false
% 20.75/5.54 |
% 20.75/5.54 |-The branch is then unsatisfiable
% 20.75/5.54 |-Branch two:
% 20.75/5.54 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.75/5.54 |
% 20.75/5.54 | Applying alpha-rule on (259) yields:
% 20.75/5.54 | (260) all_0_11_11 = e3
% 20.75/5.54 | (261) all_0_20_20 = e3
% 20.75/5.54 | (262) ~ (all_0_23_23 = e0)
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (260,437) yields a new equation:
% 20.75/5.54 | (441) e3 = e1
% 20.75/5.54 |
% 20.75/5.54 | Simplifying 441 yields:
% 20.75/5.54 | (414) e3 = e1
% 20.75/5.54 |
% 20.75/5.54 | Equations (414) can reduce 147 to:
% 20.75/5.54 | (172) $false
% 20.75/5.54 |
% 20.75/5.54 |-The branch is then unsatisfiable
% 20.75/5.54 |-Branch two:
% 20.75/5.54 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.75/5.54 |
% 20.75/5.54 | Applying alpha-rule on (264) yields:
% 20.75/5.54 | (265) all_0_11_11 = e0
% 20.75/5.54 | (266) all_0_20_20 = e0
% 20.75/5.54 | (247) ~ (all_0_8_8 = e3)
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (265,437) yields a new equation:
% 20.75/5.54 | (372) e1 = e0
% 20.75/5.54 |
% 20.75/5.54 | Equations (372) can reduce 90 to:
% 20.75/5.54 | (172) $false
% 20.75/5.54 |
% 20.75/5.54 |-The branch is then unsatisfiable
% 20.75/5.54 |-Branch two:
% 20.75/5.54 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.75/5.54 |
% 20.75/5.54 | Applying alpha-rule on (269) yields:
% 20.75/5.54 | (270) all_0_14_14 = e2
% 20.75/5.54 | (271) all_0_17_17 = e2
% 20.75/5.54 | (252) ~ (all_0_18_18 = e1)
% 20.75/5.54 |
% 20.75/5.54 +-Applying beta-rule and splitting (506), into two cases.
% 20.75/5.54 |-Branch one:
% 20.75/5.54 | (507) all_0_13_13 = e0
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (507,679) yields a new equation:
% 20.75/5.54 | (372) e1 = e0
% 20.75/5.54 |
% 20.75/5.54 | Equations (372) can reduce 90 to:
% 20.75/5.54 | (172) $false
% 20.75/5.54 |
% 20.75/5.54 |-The branch is then unsatisfiable
% 20.75/5.54 |-Branch two:
% 20.75/5.54 | (511) ~ (all_0_13_13 = e0)
% 20.75/5.54 | (512) all_0_14_14 = e0 | all_0_15_15 = e0
% 20.75/5.54 |
% 20.75/5.54 +-Applying beta-rule and splitting (512), into two cases.
% 20.75/5.54 |-Branch one:
% 20.75/5.54 | (513) all_0_14_14 = e0
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (270,513) yields a new equation:
% 20.75/5.54 | (489) e2 = e0
% 20.75/5.54 |
% 20.75/5.54 | Simplifying 489 yields:
% 20.75/5.54 | (490) e2 = e0
% 20.75/5.54 |
% 20.75/5.54 | Equations (490) can reduce 137 to:
% 20.75/5.54 | (172) $false
% 20.75/5.54 |
% 20.75/5.54 |-The branch is then unsatisfiable
% 20.75/5.54 |-Branch two:
% 20.75/5.54 | (594) ~ (all_0_14_14 = e0)
% 20.75/5.54 | (285) all_0_15_15 = e0
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (419,285) yields a new equation:
% 20.75/5.54 | (364) e3 = e0
% 20.75/5.54 |
% 20.75/5.54 | Simplifying 364 yields:
% 20.75/5.54 | (365) e3 = e0
% 20.75/5.54 |
% 20.75/5.54 | Equations (365) can reduce 107 to:
% 20.75/5.54 | (172) $false
% 20.75/5.54 |
% 20.75/5.54 |-The branch is then unsatisfiable
% 20.75/5.54 |-Branch two:
% 20.75/5.54 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.75/5.54 |
% 20.75/5.54 | Applying alpha-rule on (274) yields:
% 20.75/5.54 | (275) all_0_14_14 = e1
% 20.75/5.54 | (276) all_0_17_17 = e1
% 20.75/5.54 | (242) ~ (all_0_13_13 = e2)
% 20.75/5.54 |
% 20.75/5.54 | Combining equations (270,275) yields a new equation:
% 20.75/5.54 | (716) e2 = e1
% 20.75/5.54 |
% 20.75/5.54 | Simplifying 716 yields:
% 20.75/5.54 | (388) e2 = e1
% 20.75/5.54 |
% 20.75/5.55 | Equations (388) can reduce 49 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.75/5.55 |
% 20.75/5.55 | Applying alpha-rule on (279) yields:
% 20.75/5.55 | (280) all_0_15_15 = e2
% 20.75/5.55 | (281) all_0_21_21 = e2
% 20.75/5.55 | (262) ~ (all_0_23_23 = e0)
% 20.75/5.55 |
% 20.75/5.55 | Combining equations (280,419) yields a new equation:
% 20.75/5.55 | (533) e3 = e2
% 20.75/5.55 |
% 20.75/5.55 | Equations (533) can reduce 69 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.75/5.55 |
% 20.75/5.55 | Applying alpha-rule on (284) yields:
% 20.75/5.55 | (285) all_0_15_15 = e0
% 20.75/5.55 | (286) all_0_21_21 = e0
% 20.75/5.55 | (242) ~ (all_0_13_13 = e2)
% 20.75/5.55 |
% 20.75/5.55 | Combining equations (285,419) yields a new equation:
% 20.75/5.55 | (365) e3 = e0
% 20.75/5.55 |
% 20.75/5.55 | Equations (365) can reduce 107 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.75/5.55 |
% 20.75/5.55 | Applying alpha-rule on (289) yields:
% 20.75/5.55 | (290) all_0_19_19 = e1
% 20.75/5.55 | (291) all_0_22_22 = e1
% 20.75/5.55 | (262) ~ (all_0_23_23 = e0)
% 20.75/5.55 |
% 20.75/5.55 | Equations (182) can reduce 262 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.75/5.55 |
% 20.75/5.55 | Applying alpha-rule on (294) yields:
% 20.75/5.55 | (295) all_0_19_19 = e0
% 20.75/5.55 | (296) all_0_22_22 = e0
% 20.75/5.55 | (252) ~ (all_0_18_18 = e1)
% 20.75/5.55 |
% 20.75/5.55 | Combining equations (291,296) yields a new equation:
% 20.75/5.55 | (371) e1 = e0
% 20.75/5.55 |
% 20.75/5.55 | Simplifying 371 yields:
% 20.75/5.55 | (372) e1 = e0
% 20.75/5.55 |
% 20.75/5.55 | Equations (372) can reduce 90 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (329) ~ (all_0_15_15 = e3)
% 20.75/5.55 | (422) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (481), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (482) all_0_17_17 = e0
% 20.75/5.55 |
% 20.75/5.55 | Equations (482) can reduce 150 to:
% 20.75/5.55 | (321) ~ (all_0_19_19 = e0)
% 20.75/5.55 |
% 20.75/5.55 | Simplifying 321 yields:
% 20.75/5.55 | (185) ~ (all_0_19_19 = e0)
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (470), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (471) all_0_19_19 = e2
% 20.75/5.55 |
% 20.75/5.55 | Equations (471) can reduce 149 to:
% 20.75/5.55 | (1585) ~ (all_0_15_15 = e2)
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (422), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (280) all_0_15_15 = e2
% 20.75/5.55 |
% 20.75/5.55 | Equations (280) can reduce 1585 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (1585) ~ (all_0_15_15 = e2)
% 20.75/5.55 | (1586) all_0_15_15 = e1 | all_0_15_15 = e0
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (1586), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (836) all_0_15_15 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (836) can reduce 602 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (602) ~ (all_0_15_15 = e1)
% 20.75/5.55 | (285) all_0_15_15 = e0
% 20.75/5.55 |
% 20.75/5.55 | Equations (285) can reduce 184 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (314) ~ (all_0_19_19 = e2)
% 20.75/5.55 | (474) all_0_19_19 = e1 | all_0_19_19 = e0
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (474), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (290) all_0_19_19 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (290) can reduce 310 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (310) ~ (all_0_19_19 = e1)
% 20.75/5.55 | (295) all_0_19_19 = e0
% 20.75/5.55 |
% 20.75/5.55 | Equations (295) can reduce 185 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (486) ~ (all_0_17_17 = e0)
% 20.75/5.55 | (487) all_0_18_18 = e0 | all_0_19_19 = e0
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (487), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (300) all_0_18_18 = e0
% 20.75/5.55 |
% 20.75/5.55 | Combining equations (300,218) yields a new equation:
% 20.75/5.55 | (365) e3 = e0
% 20.75/5.55 |
% 20.75/5.55 | Equations (365) can reduce 107 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (215) ~ (all_0_18_18 = e0)
% 20.75/5.55 | (295) all_0_19_19 = e0
% 20.75/5.55 |
% 20.75/5.55 | Equations (295) can reduce 185 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (699) ~ (all_0_22_22 = e1)
% 20.75/5.55 | (296) all_0_22_22 = e0
% 20.75/5.55 |
% 20.75/5.55 | Equations (296) can reduce 188 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (600) ~ (all_0_11_11 = e1)
% 20.75/5.55 | (3607) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (155), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (423) all_0_8_8 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (423) can reduce 195 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (195) ~ (all_0_8_8 = e1)
% 20.75/5.55 | (427) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (105), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (691) all_0_20_20 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (691) can reduce 839 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (839) ~ (all_0_20_20 = e1)
% 20.75/5.55 | (5132) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (427), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (428) all_0_9_9 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (428) can reduce 304 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (304) ~ (all_0_9_9 = e1)
% 20.75/5.55 | (431) all_0_10_10 = e1 | all_0_11_11 = e1
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (431), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (255) all_0_10_10 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (255) can reduce 145 to:
% 20.75/5.55 | (698) ~ (all_0_22_22 = e1)
% 20.75/5.55 |
% 20.75/5.55 | Simplifying 698 yields:
% 20.75/5.55 | (699) ~ (all_0_22_22 = e1)
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (5132), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (1292) all_0_21_21 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (1292) can reduce 312 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (312) ~ (all_0_21_21 = e1)
% 20.75/5.55 | (5179) all_0_22_22 = e1 | all_0_23_23 = e1
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (5179), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (291) all_0_22_22 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (291) can reduce 699 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (699) ~ (all_0_22_22 = e1)
% 20.75/5.55 | (179) all_0_23_23 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (179) can reduce 168 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (394) ~ (all_0_10_10 = e1)
% 20.75/5.55 | (437) all_0_11_11 = e1
% 20.75/5.55 |
% 20.75/5.55 | Equations (437) can reduce 600 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (179) all_0_23_23 = e1
% 20.75/5.55 | (296) all_0_22_22 = e0
% 20.75/5.55 |
% 20.75/5.55 | Equations (179) can reduce 46 to:
% 20.75/5.55 | (602) ~ (all_0_15_15 = e1)
% 20.75/5.55 |
% 20.75/5.55 | Equations (296) can reduce 131 to:
% 20.75/5.55 | (187) ~ (all_0_21_21 = e0)
% 20.75/5.55 |
% 20.75/5.55 | Equations (296,179) can reduce 55 to:
% 20.75/5.55 | (193) ~ (e1 = e0)
% 20.75/5.55 |
% 20.75/5.55 | Simplifying 193 yields:
% 20.75/5.55 | (90) ~ (e1 = e0)
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (51), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (198) all_0_8_8 = e3
% 20.75/5.55 |
% 20.75/5.55 | Equations (198) can reduce 113 to:
% 20.75/5.55 | (199) ~ (all_0_9_9 = e3)
% 20.75/5.55 |
% 20.75/5.55 | Simplifying 199 yields:
% 20.75/5.55 | (200) ~ (all_0_9_9 = e3)
% 20.75/5.55 |
% 20.75/5.55 | Equations (198) can reduce 39 to:
% 20.75/5.55 | (203) ~ (all_0_11_11 = e3)
% 20.75/5.55 |
% 20.75/5.55 | Simplifying 203 yields:
% 20.75/5.55 | (204) ~ (all_0_11_11 = e3)
% 20.75/5.55 |
% 20.75/5.55 | Equations (198) can reduce 35 to:
% 20.75/5.55 | (205) ~ (all_0_12_12 = e3)
% 20.75/5.55 |
% 20.75/5.55 | Simplifying 205 yields:
% 20.75/5.55 | (206) ~ (all_0_12_12 = e3)
% 20.75/5.55 |
% 20.75/5.55 | Equations (198) can reduce 195 to:
% 20.75/5.55 | (147) ~ (e3 = e1)
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (89), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (241) all_0_12_12 = e3
% 20.75/5.55 |
% 20.75/5.55 | Equations (241) can reduce 206 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (206) ~ (all_0_12_12 = e3)
% 20.75/5.55 | (2185) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (99), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (1100) all_0_8_8 = e2
% 20.75/5.55 |
% 20.75/5.55 | Combining equations (1100,198) yields a new equation:
% 20.75/5.55 | (533) e3 = e2
% 20.75/5.55 |
% 20.75/5.55 | Equations (533) can reduce 69 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.55 | (196) ~ (all_0_8_8 = e2)
% 20.75/5.55 | (3271) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 20.75/5.55 |
% 20.75/5.55 +-Applying beta-rule and splitting (3271), into two cases.
% 20.75/5.55 |-Branch one:
% 20.75/5.55 | (246) all_0_12_12 = e2
% 20.75/5.55 |
% 20.75/5.55 | Equations (246) can reduce 711 to:
% 20.75/5.55 | (172) $false
% 20.75/5.55 |
% 20.75/5.55 |-The branch is then unsatisfiable
% 20.75/5.55 |-Branch two:
% 20.75/5.56 | (711) ~ (all_0_12_12 = e2)
% 20.75/5.56 | (3275) all_0_16_16 = e2 | all_0_20_20 = e2
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (106), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (260) all_0_11_11 = e3
% 20.75/5.56 |
% 20.75/5.56 | Equations (260) can reduce 204 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (204) ~ (all_0_11_11 = e3)
% 20.75/5.56 | (628) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (3275), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (666) all_0_16_16 = e2
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (256,666) yields a new equation:
% 20.75/5.56 | (388) e2 = e1
% 20.75/5.56 |
% 20.75/5.56 | Equations (388) can reduce 49 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (854) ~ (all_0_16_16 = e2)
% 20.75/5.56 | (687) all_0_20_20 = e2
% 20.75/5.56 |
% 20.75/5.56 | Equations (687) can reduce 41 to:
% 20.75/5.56 | (711) ~ (all_0_12_12 = e2)
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (628), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (419) all_0_15_15 = e3
% 20.75/5.56 |
% 20.75/5.56 | Equations (419) can reduce 149 to:
% 20.75/5.56 | (1125) ~ (all_0_19_19 = e3)
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 1125 yields:
% 20.75/5.56 | (469) ~ (all_0_19_19 = e3)
% 20.75/5.56 |
% 20.75/5.56 | Equations (419) can reduce 602 to:
% 20.75/5.56 | (147) ~ (e3 = e1)
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (11), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (672) all_0_9_9 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (672) can reduce 842 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (842) ~ (all_0_9_9 = e0)
% 20.75/5.56 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (61), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (240) all_0_9_9 = e3
% 20.75/5.56 |
% 20.75/5.56 | Equations (240) can reduce 200 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (200) ~ (all_0_9_9 = e3)
% 20.75/5.56 | (4629) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (843), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (507) all_0_13_13 = e0
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (679,507) yields a new equation:
% 20.75/5.56 | (371) e1 = e0
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 371 yields:
% 20.75/5.56 | (372) e1 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (372) can reduce 90 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (511) ~ (all_0_13_13 = e0)
% 20.75/5.56 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (4629), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (245) all_0_9_9 = e2
% 20.75/5.56 |
% 20.75/5.56 | Equations (245) can reduce 97 to:
% 20.75/5.56 | (4853) ~ (all_0_11_11 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 4853 yields:
% 20.75/5.56 | (953) ~ (all_0_11_11 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Equations (245) can reduce 200 to:
% 20.75/5.56 | (499) ~ (e3 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 499 yields:
% 20.75/5.56 | (69) ~ (e3 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Equations (245) can reduce 304 to:
% 20.75/5.56 | (49) ~ (e2 = e1)
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (122), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (635) all_0_11_11 = e2
% 20.75/5.56 |
% 20.75/5.56 | Equations (635) can reduce 953 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (953) ~ (all_0_11_11 = e2)
% 20.75/5.56 | (2139) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (1594), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (482) all_0_17_17 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (482) can reduce 150 to:
% 20.75/5.56 | (321) ~ (all_0_19_19 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 321 yields:
% 20.75/5.56 | (185) ~ (all_0_19_19 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Equations (482) can reduce 416 to:
% 20.75/5.56 | (189) ~ (e3 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 189 yields:
% 20.75/5.56 | (107) ~ (e3 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Equations (482) can reduce 228 to:
% 20.75/5.56 | (193) ~ (e1 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 193 yields:
% 20.75/5.56 | (90) ~ (e1 = e0)
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (2139), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (280) all_0_15_15 = e2
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (419,280) yields a new equation:
% 20.75/5.56 | (532) e3 = e2
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 532 yields:
% 20.75/5.56 | (533) e3 = e2
% 20.75/5.56 |
% 20.75/5.56 | Equations (533) can reduce 69 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (1585) ~ (all_0_15_15 = e2)
% 20.75/5.56 | (2345) all_0_19_19 = e2 | all_0_23_23 = e2
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (2345), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (471) all_0_19_19 = e2
% 20.75/5.56 |
% 20.75/5.56 | Equations (471) can reduce 469 to:
% 20.75/5.56 | (499) ~ (e3 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 499 yields:
% 20.75/5.56 | (69) ~ (e3 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Equations (471) can reduce 185 to:
% 20.75/5.56 | (137) ~ (e2 = e0)
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (2185), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (246) all_0_12_12 = e2
% 20.75/5.56 |
% 20.75/5.56 | Equations (246) can reduce 711 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (711) ~ (all_0_12_12 = e2)
% 20.75/5.56 | (2189) all_0_12_12 = e1 | all_0_12_12 = e0
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (152), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (229) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)) | (all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (229), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (230) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)) | (all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (230), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (231) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)) | (all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (231), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (232) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)) | (all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (232), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (233) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)) | (all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (233), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (234) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)) | (all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (234), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (235) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)) | (all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (235), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (236) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)) | (all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (236), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (237) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)) | (all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (237), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (238) (all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)) | (all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3))
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (238), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (239) all_0_9_9 = e3 & all_0_12_12 = e3 & ~ (all_0_13_13 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (239) yields:
% 20.75/5.56 | (240) all_0_9_9 = e3
% 20.75/5.56 | (241) all_0_12_12 = e3
% 20.75/5.56 | (242) ~ (all_0_13_13 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (240,245) yields a new equation:
% 20.75/5.56 | (532) e3 = e2
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 532 yields:
% 20.75/5.56 | (533) e3 = e2
% 20.75/5.56 |
% 20.75/5.56 | Equations (533) can reduce 69 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (244) all_0_9_9 = e2 & all_0_12_12 = e2 & ~ (all_0_8_8 = e3)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (244) yields:
% 20.75/5.56 | (245) all_0_9_9 = e2
% 20.75/5.56 | (246) all_0_12_12 = e2
% 20.75/5.56 | (247) ~ (all_0_8_8 = e3)
% 20.75/5.56 |
% 20.75/5.56 | Equations (246) can reduce 711 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (249) all_0_10_10 = e3 & all_0_16_16 = e3 & ~ (all_0_18_18 = e1)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (249) yields:
% 20.75/5.56 | (250) all_0_10_10 = e3
% 20.75/5.56 | (251) all_0_16_16 = e3
% 20.75/5.56 | (252) ~ (all_0_18_18 = e1)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (256,251) yields a new equation:
% 20.75/5.56 | (414) e3 = e1
% 20.75/5.56 |
% 20.75/5.56 | Equations (414) can reduce 147 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (254) all_0_10_10 = e1 & all_0_16_16 = e1 & ~ (all_0_8_8 = e3)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (254) yields:
% 20.75/5.56 | (255) all_0_10_10 = e1
% 20.75/5.56 | (256) all_0_16_16 = e1
% 20.75/5.56 | (247) ~ (all_0_8_8 = e3)
% 20.75/5.56 |
% 20.75/5.56 | Equations (198) can reduce 247 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (259) all_0_11_11 = e3 & all_0_20_20 = e3 & ~ (all_0_23_23 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (259) yields:
% 20.75/5.56 | (260) all_0_11_11 = e3
% 20.75/5.56 | (261) all_0_20_20 = e3
% 20.75/5.56 | (262) ~ (all_0_23_23 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (687,261) yields a new equation:
% 20.75/5.56 | (533) e3 = e2
% 20.75/5.56 |
% 20.75/5.56 | Equations (533) can reduce 69 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (264) all_0_11_11 = e0 & all_0_20_20 = e0 & ~ (all_0_8_8 = e3)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (264) yields:
% 20.75/5.56 | (265) all_0_11_11 = e0
% 20.75/5.56 | (266) all_0_20_20 = e0
% 20.75/5.56 | (247) ~ (all_0_8_8 = e3)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (687,266) yields a new equation:
% 20.75/5.56 | (489) e2 = e0
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 489 yields:
% 20.75/5.56 | (490) e2 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (490) can reduce 137 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (269) all_0_14_14 = e2 & all_0_17_17 = e2 & ~ (all_0_18_18 = e1)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (269) yields:
% 20.75/5.56 | (270) all_0_14_14 = e2
% 20.75/5.56 | (271) all_0_17_17 = e2
% 20.75/5.56 | (252) ~ (all_0_18_18 = e1)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (482,271) yields a new equation:
% 20.75/5.56 | (490) e2 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (490) can reduce 137 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (274) all_0_14_14 = e1 & all_0_17_17 = e1 & ~ (all_0_13_13 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (274) yields:
% 20.75/5.56 | (275) all_0_14_14 = e1
% 20.75/5.56 | (276) all_0_17_17 = e1
% 20.75/5.56 | (242) ~ (all_0_13_13 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (482,276) yields a new equation:
% 20.75/5.56 | (372) e1 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (372) can reduce 90 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (279) all_0_15_15 = e2 & all_0_21_21 = e2 & ~ (all_0_23_23 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (279) yields:
% 20.75/5.56 | (280) all_0_15_15 = e2
% 20.75/5.56 | (281) all_0_21_21 = e2
% 20.75/5.56 | (262) ~ (all_0_23_23 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (280,419) yields a new equation:
% 20.75/5.56 | (533) e3 = e2
% 20.75/5.56 |
% 20.75/5.56 | Equations (533) can reduce 69 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (284) all_0_15_15 = e0 & all_0_21_21 = e0 & ~ (all_0_13_13 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (284) yields:
% 20.75/5.56 | (285) all_0_15_15 = e0
% 20.75/5.56 | (286) all_0_21_21 = e0
% 20.75/5.56 | (242) ~ (all_0_13_13 = e2)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (285,419) yields a new equation:
% 20.75/5.56 | (365) e3 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (365) can reduce 107 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (289) all_0_19_19 = e1 & all_0_22_22 = e1 & ~ (all_0_23_23 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (289) yields:
% 20.75/5.56 | (290) all_0_19_19 = e1
% 20.75/5.56 | (291) all_0_22_22 = e1
% 20.75/5.56 | (262) ~ (all_0_23_23 = e0)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (296,291) yields a new equation:
% 20.75/5.56 | (372) e1 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (372) can reduce 90 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (294) all_0_19_19 = e0 & all_0_22_22 = e0 & ~ (all_0_18_18 = e1)
% 20.75/5.56 |
% 20.75/5.56 | Applying alpha-rule on (294) yields:
% 20.75/5.56 | (295) all_0_19_19 = e0
% 20.75/5.56 | (296) all_0_22_22 = e0
% 20.75/5.56 | (252) ~ (all_0_18_18 = e1)
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (295,471) yields a new equation:
% 20.75/5.56 | (490) e2 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (490) can reduce 137 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (314) ~ (all_0_19_19 = e2)
% 20.75/5.56 | (175) all_0_23_23 = e2
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (179,175) yields a new equation:
% 20.75/5.56 | (388) e2 = e1
% 20.75/5.56 |
% 20.75/5.56 | Equations (388) can reduce 49 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (486) ~ (all_0_17_17 = e0)
% 20.75/5.56 | (286) all_0_21_21 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (286) can reduce 187 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (636) ~ (all_0_9_9 = e2)
% 20.75/5.56 | (5594) all_0_9_9 = e1 | all_0_9_9 = e0
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (1594), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (482) all_0_17_17 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (482) can reduce 13 to:
% 20.75/5.56 | (842) ~ (all_0_9_9 = e0)
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (5594), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (428) all_0_9_9 = e1
% 20.75/5.56 |
% 20.75/5.56 | Equations (428) can reduce 304 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (304) ~ (all_0_9_9 = e1)
% 20.75/5.56 | (672) all_0_9_9 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (672) can reduce 842 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (486) ~ (all_0_17_17 = e0)
% 20.75/5.56 | (286) all_0_21_21 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (286) can reduce 187 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (329) ~ (all_0_15_15 = e3)
% 20.75/5.56 | (965) all_0_19_19 = e3 | all_0_23_23 = e3
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (965), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (327) all_0_19_19 = e3
% 20.75/5.56 |
% 20.75/5.56 | Equations (327) can reduce 469 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (469) ~ (all_0_19_19 = e3)
% 20.75/5.56 | (171) all_0_23_23 = e3
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (171,179) yields a new equation:
% 20.75/5.56 | (441) e3 = e1
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 441 yields:
% 20.75/5.56 | (414) e3 = e1
% 20.75/5.56 |
% 20.75/5.56 | Equations (414) can reduce 147 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (247) ~ (all_0_8_8 = e3)
% 20.75/5.56 | (4222) all_0_13_13 = e2 | all_0_18_18 = e1 | all_0_23_23 = e0
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (4222), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (727) all_0_13_13 = e2
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (727,679) yields a new equation:
% 20.75/5.56 | (716) e2 = e1
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 716 yields:
% 20.75/5.56 | (388) e2 = e1
% 20.75/5.56 |
% 20.75/5.56 | Equations (388) can reduce 49 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (242) ~ (all_0_13_13 = e2)
% 20.75/5.56 | (4238) all_0_18_18 = e1 | all_0_23_23 = e0
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (11), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (672) all_0_9_9 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (672) can reduce 842 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (842) ~ (all_0_9_9 = e0)
% 20.75/5.56 | (843) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (843), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (507) all_0_13_13 = e0
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (507,679) yields a new equation:
% 20.75/5.56 | (372) e1 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (372) can reduce 90 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (511) ~ (all_0_13_13 = e0)
% 20.75/5.56 | (1594) all_0_17_17 = e0 | all_0_21_21 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (679) can reduce 511 to:
% 20.75/5.56 | (90) ~ (e1 = e0)
% 20.75/5.56 |
% 20.75/5.56 +-Applying beta-rule and splitting (4238), into two cases.
% 20.75/5.56 |-Branch one:
% 20.75/5.56 | (226) all_0_18_18 = e1
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (226,218) yields a new equation:
% 20.75/5.56 | (414) e3 = e1
% 20.75/5.56 |
% 20.75/5.56 | Equations (414) can reduce 147 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (252) ~ (all_0_18_18 = e1)
% 20.75/5.56 | (182) all_0_23_23 = e0
% 20.75/5.56 |
% 20.75/5.56 | Combining equations (179,182) yields a new equation:
% 20.75/5.56 | (371) e1 = e0
% 20.75/5.56 |
% 20.75/5.56 | Simplifying 371 yields:
% 20.75/5.56 | (372) e1 = e0
% 20.75/5.56 |
% 20.75/5.56 | Equations (372) can reduce 90 to:
% 20.75/5.56 | (172) $false
% 20.75/5.56 |
% 20.75/5.56 |-The branch is then unsatisfiable
% 20.75/5.56 |-Branch two:
% 20.75/5.56 | (12154) all_0_4_4 = e0
% 20.75/5.56 | (12155) ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e1)
% 20.75/5.56 |
% 20.75/5.57 +-Applying beta-rule and splitting (12155), into two cases.
% 20.75/5.57 |-Branch one:
% 20.75/5.57 | (12156) ~ (all_0_5_5 = e3)
% 20.75/5.57 |
% 20.75/5.57 | Equations (11404) can reduce 12156 to:
% 20.75/5.57 | (172) $false
% 20.75/5.57 |
% 20.75/5.57 |-The branch is then unsatisfiable
% 20.75/5.57 |-Branch two:
% 20.75/5.57 | (11404) all_0_5_5 = e3
% 20.75/5.57 | (167) ~ (all_0_13_13 = e1)
% 20.75/5.57 |
% 20.75/5.57 | Equations (679) can reduce 167 to:
% 20.75/5.57 | (172) $false
% 20.75/5.57 |
% 20.75/5.57 |-The branch is then unsatisfiable
% 20.75/5.57 % SZS output end Proof for theBenchmark
% 20.75/5.57
% 20.75/5.57 4964ms
%------------------------------------------------------------------------------