TSTP Solution File: ALG066+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG066+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:34:11 EDT 2022
% Result : Theorem 7.12s 2.22s
% Output : Proof 21.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG066+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 7 23:53:16 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.53/0.56 ____ _
% 0.53/0.56 ___ / __ \_____(_)___ ________ __________
% 0.53/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.56
% 0.53/0.56 A Theorem Prover for First-Order Logic
% 0.53/0.56 (ePrincess v.1.0)
% 0.53/0.56
% 0.53/0.56 (c) Philipp Rümmer, 2009-2015
% 0.53/0.56 (c) Peter Backeman, 2014-2015
% 0.53/0.56 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.56 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.56 Bug reports to peter@backeman.se
% 0.53/0.56
% 0.53/0.56 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.56
% 0.53/0.56 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.53/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.68/1.15 Prover 0: Preprocessing ...
% 4.62/1.57 Prover 0: Constructing countermodel ...
% 7.12/2.22 Prover 0: proved (1610ms)
% 7.12/2.22
% 7.12/2.22 No countermodel exists, formula is valid
% 7.12/2.22 % SZS status Theorem for theBenchmark
% 7.12/2.22
% 7.12/2.22 Generating proof ... found it (size 7271)
% 18.00/4.76
% 18.00/4.76 % SZS output start Proof for theBenchmark
% 18.00/4.76 Assumed formulas after preprocessing and simplification:
% 18.00/4.76 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ( ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v16) & ~ (v20 = v7) & ~ (v20 = v4) & ~ (v20 = e3) & ~ (v20 = e2) & ~ (v20 = e1) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v15) & ~ (v19 = v11) & ~ (v19 = v6) & ~ (v19 = v3) & ~ (v19 = e1) & ~ (v18 = v17) & ~ (v18 = v13) & ~ (v18 = v9) & ~ (v18 = v1) & ~ (v18 = e1) & ~ (v18 = e0) & ~ (v17 = v12) & ~ (v17 = v8) & ~ (v17 = v0) & ~ (v17 = e1) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = v12) & ~ (v16 = v7) & ~ (v16 = v4) & ~ (v16 = e3) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v6) & ~ (v15 = v3) & ~ (v15 = e4) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v5) & ~ (v14 = v2) & ~ (v14 = e1) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v1) & ~ (v13 = e0) & ~ (v12 = v8) & ~ (v12 = v0) & ~ (v12 = e1) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v6) & ~ (v11 = v3) & ~ (v11 = e3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v5) & ~ (v10 = v2) & ~ (v10 = e4) & ~ (v10 = e3) & ~ (v10 = e1) & ~ (v9 = v8) & ~ (v9 = v1) & ~ (v9 = e3) & ~ (v9 = e0) & ~ (v8 = v0) & ~ (v8 = e3) & ~ (v8 = e1) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = e3) & ~ (v7 = e1) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v3) & ~ (v6 = e1) & ~ (v6 = e0) & ~ (v5 = v2) & ~ (v5 = e1) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v4 = e3) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e1) & ~ (v1 = v0) & ~ (v1 = e0) & ~ (v0 = e1) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = v20 & op(e4, e3) = v19 & op(e4, e2) = e1 & op(e4, e1) = v18 & op(e4, e0) = v17 & op(e3, unit) = e3 & op(e3, e4) = v16 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, unit) = e1 & op(e1, e4) = v7 & op(e1, e3) = v6 & op(e1, e2) = v5 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (op(v24, v23) = v22) | ~ (op(v24, v23) = v21)) & ( ~ (v20 = e0) | v17 = e4) & ( ~ (v15 = e2) | v14 = e3) & ( ~ (v15 = e1) | v13 = e3) & ( ~ (v15 = e0) | v12 = e3) & ( ~ (v10 = e0) | v8 = e2) & ( ~ (v0 = e4) | v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & (v20 = e4 | v20 = e0) & (v20 = e4 | v19 = e4 | v18 = e4 | v17 = e4) & (v20 = e4 | v16 = e4 | v7 = e4 | v4 = e4) & (v20 = e0 | v19 = e0 | v17 = e0) & (v20 = e0 | v16 = e0 | v4 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | v19 = e0) & (v19 = e4 | v11 = e4 | v6 = e4 | v3 = e4) & (v19 = e3 | v18 = e3 | v17 = e3) & (v19 = e3 | v15 = e3 | v6 = e3 | v3 = e3) & (v19 = e2 | v18 = e2 | v17 = e2) & (v19 = e2 | v15 = e2 | v11 = e2 | v6 = e2 | v3 = e2) & (v19 = e0 | v15 = e0 | v11 = e0 | v3 = e0) & (v18 = e4 | v18 = e3 | v18 = e2) & (v18 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v18 = e3 | v13 = e3 | v1 = e3) & (v18 = e2 | v13 = e2 | v9 = e2 | v1 = e2) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e0) & (v17 = e4 | v12 = e4 | v8 = e4 | v0 = e4) & (v17 = e3 | v12 = e3 | v0 = e3) & (v17 = e2 | v12 = e2 | v8 = e2 | v0 = e2) & (v17 = e0 | v12 = e0 | v8 = e0 | v0 = e0) & (v16 = e4 | v16 = e2 | v16 = e1 | v16 = e0) & (v16 = e4 | v14 = e4 | v13 = e4 | v12 = e4) & (v16 = e2 | v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v16 = e2 | v7 = e2 | v4 = e2) & (v16 = e1 | v15 = e1 | v13 = e1) & (v16 = e1 | v4 = e1) & (v16 = e0 | v15 = e0 | v14 = e0 | v12 = e0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3 | v12 = e3) & (v15 = e1 | v11 = e1 | v3 = e1) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e0) & (v14 = e4 | v5 = e4 | v2 = e4) & (v14 = e3 | v5 = e3 | v2 = e3) & (v14 = e2 | v10 = e2 | v5 = e2 | v2 = e2) & (v14 = e0 | v10 = e0 | v2 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1) & (v13 = e1 | v9 = e1 | v1 = e1) & (v12 = e4 | v12 = e3 | v12 = e2 | v12 = e0) & (v11 = e4 | v11 = e2 | v11 = e1 | v11 = e0) & (v11 = e4 | v9 = e4 | v8 = e4) & (v11 = e2 | v10 = e2 | v9 = e2 | v8 = e2) & (v11 = e1 | v9 = e1) & (v11 = e0 | v10 = e0 | v8 = e0) & (v10 = e2 | v10 = e0) & (v9 = e4 | v9 = e2 | v9 = e1) & (v8 = e4 | v8 = e2 | v8 = e0) & (v7 = e4 | v7 = e2) & (v7 = e4 | v6 = e4 | v5 = e4) & (v7 = e2 | v6 = e2 | v5 = e2) & (v6 = e4 | v6 = e3 | v6 = e2) & (v6 = e3 | v5 = e3) & (v5 = e4 | v5 = e3 | v5 = e2) & (v4 = e4 | v4 = e2 | v4 = e1 | v4 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v1 = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v0 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v18 = e2 & ~ (v11 = e1) & ~ (unit = e1) & ( ~ (v16 = e1) | v13 = e4) & ( ~ (v15 = e1) | v13 = e3) & ( ~ (v4 = e1) | v1 = e4) & ( ~ (v3 = e1) | v1 = e3)) | (v11 = e4 & ~ (v18 = e3) & ~ (unit = e3) & ( ~ (v17 = e3) | v19 = e0) & ( ~ (v14 = e3) | v15 = e2) & ( ~ (v13 = e3) | v15 = e1) & ( ~ (v12 = e3) | v15 = e0) & ( ~ (v5 = e3) | v6 = e2) & ( ~ (v2 = e3) | v3 = e2) & ( ~ (v1 = e3) | v3 = e1) & ( ~ (v0 = e3) | v3 = e0)) | ( ~ (v19 = e4) & ~ (v18 = e4) & ~ (v9 = e4) & ~ (v8 = e4) & ~ (v6 = e4) & ~ (v3 = e4) & ( ~ (v20 = e4) | ~ (unit = e4)) & ( ~ (v17 = e4) | (v20 = e0 & ~ (unit = e4))) & ( ~ (v16 = e4) | ~ (unit = e4)) & ( ~ (v14 = e4) | (v16 = e2 & ~ (unit = e4))) & ( ~ (v13 = e4) | (v16 = e1 & ~ (unit = e4))) & ( ~ (v12 = e4) | (v16 = e0 & ~ (unit = e4))) & ( ~ (v11 = e4) | ~ (unit = e4)) & ( ~ (v7 = e4) | ~ (unit = e4)) & ( ~ (v5 = e4) | (v7 = e2 & ~ (unit = e4))) & ( ~ (v4 = e4) | ~ (unit = e4)) & ( ~ (v2 = e4) | (v4 = e2 & ~ (unit = e4))) & ( ~ (v1 = e4) | (v4 = e1 & ~ (unit = e4))) & ( ~ (v0 = e4) | (v4 = e0 & ~ (unit = e4)))) | ( ~ (v19 = e2) & ~ (v17 = e2) & ~ (v13 = e2) & ~ (v11 = e2) & ~ (v9 = e2) & ~ (v1 = e2) & ( ~ (v18 = e2) | ~ (unit = e2)) & ( ~ (v16 = e2) | (v14 = e4 & ~ (unit = e2))) & ( ~ (v15 = e2) | (v14 = e3 & ~ (unit = e2))) & ( ~ (v14 = e2) | ~ (unit = e2)) & ( ~ (v12 = e2) | (v14 = e0 & ~ (unit = e2))) & ( ~ (v10 = e2) | ~ (unit = e2)) & ( ~ (v8 = e2) | (v10 = e0 & ~ (unit = e2))) & ( ~ (v7 = e2) | (v5 = e4 & ~ (unit = e2))) & ( ~ (v6 = e2) | (v5 = e3 & ~ (unit = e2))) & ( ~ (v5 = e2) | ~ (unit = e2)) & ( ~ (v4 = e2) | (v2 = e4 & ~ (unit = e2))) & ( ~ (v3 = e2) | (v2 = e3 & ~ (unit = e2))) & ( ~ (v2 = e2) | ~ (unit = e2)) & ( ~ (v0 = e2) | (v2 = e0 & ~ (unit = e2)))) | ( ~ (v11 = e0) & ~ (unit = e0) & ( ~ (v20 = e0) | v17 = e4) & ( ~ (v19 = e0) | v17 = e3) & ( ~ (v16 = e0) | v12 = e4) & ( ~ (v15 = e0) | v12 = e3) & ( ~ (v14 = e0) | v12 = e2) & ( ~ (v10 = e0) | v8 = e2) & ( ~ (v4 = e0) | v0 = e4) & ( ~ (v3 = e0) | v0 = e3) & ( ~ (v2 = e0) | v0 = e2))))
% 18.14/4.81 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20 yields:
% 18.14/4.81 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_0_0 = all_0_2_2) & ~ (all_0_0_0 = all_0_3_3) & ~ (all_0_0_0 = all_0_4_4) & ~ (all_0_0_0 = all_0_13_13) & ~ (all_0_0_0 = all_0_16_16) & ~ (all_0_0_0 = e3) & ~ (all_0_0_0 = e2) & ~ (all_0_0_0 = e1) & ~ (all_0_1_1 = all_0_2_2) & ~ (all_0_1_1 = all_0_3_3) & ~ (all_0_1_1 = all_0_5_5) & ~ (all_0_1_1 = all_0_9_9) & ~ (all_0_1_1 = all_0_14_14) & ~ (all_0_1_1 = all_0_17_17) & ~ (all_0_1_1 = e1) & ~ (all_0_2_2 = all_0_3_3) & ~ (all_0_2_2 = all_0_7_7) & ~ (all_0_2_2 = all_0_11_11) & ~ (all_0_2_2 = all_0_19_19) & ~ (all_0_2_2 = e1) & ~ (all_0_2_2 = e0) & ~ (all_0_3_3 = all_0_8_8) & ~ (all_0_3_3 = all_0_12_12) & ~ (all_0_3_3 = all_0_20_20) & ~ (all_0_3_3 = e1) & ~ (all_0_4_4 = all_0_5_5) & ~ (all_0_4_4 = all_0_6_6) & ~ (all_0_4_4 = all_0_7_7) & ~ (all_0_4_4 = all_0_8_8) & ~ (all_0_4_4 = all_0_13_13) & ~ (all_0_4_4 = all_0_16_16) & ~ (all_0_4_4 = e3) & ~ (all_0_5_5 = all_0_6_6) & ~ (all_0_5_5 = all_0_7_7) & ~ (all_0_5_5 = all_0_8_8) & ~ (all_0_5_5 = all_0_9_9) & ~ (all_0_5_5 = all_0_14_14) & ~ (all_0_5_5 = all_0_17_17) & ~ (all_0_5_5 = e4) & ~ (all_0_6_6 = all_0_7_7) & ~ (all_0_6_6 = all_0_8_8) & ~ (all_0_6_6 = all_0_10_10) & ~ (all_0_6_6 = all_0_15_15) & ~ (all_0_6_6 = all_0_18_18) & ~ (all_0_6_6 = e1) & ~ (all_0_7_7 = all_0_8_8) & ~ (all_0_7_7 = all_0_11_11) & ~ (all_0_7_7 = all_0_19_19) & ~ (all_0_7_7 = e0) & ~ (all_0_8_8 = all_0_12_12) & ~ (all_0_8_8 = all_0_20_20) & ~ (all_0_8_8 = e1) & ~ (all_0_9_9 = all_0_10_10) & ~ (all_0_9_9 = all_0_11_11) & ~ (all_0_9_9 = all_0_12_12) & ~ (all_0_9_9 = all_0_14_14) & ~ (all_0_9_9 = all_0_17_17) & ~ (all_0_9_9 = e3) & ~ (all_0_10_10 = all_0_11_11) & ~ (all_0_10_10 = all_0_12_12) & ~ (all_0_10_10 = all_0_15_15) & ~ (all_0_10_10 = all_0_18_18) & ~ (all_0_10_10 = e4) & ~ (all_0_10_10 = e3) & ~ (all_0_10_10 = e1) & ~ (all_0_11_11 = all_0_12_12) & ~ (all_0_11_11 = all_0_19_19) & ~ (all_0_11_11 = e3) & ~ (all_0_11_11 = e0) & ~ (all_0_12_12 = all_0_20_20) & ~ (all_0_12_12 = e3) & ~ (all_0_12_12 = e1) & ~ (all_0_13_13 = all_0_14_14) & ~ (all_0_13_13 = all_0_15_15) & ~ (all_0_13_13 = all_0_16_16) & ~ (all_0_13_13 = e3) & ~ (all_0_13_13 = e1) & ~ (all_0_13_13 = e0) & ~ (all_0_14_14 = all_0_15_15) & ~ (all_0_14_14 = all_0_17_17) & ~ (all_0_14_14 = e1) & ~ (all_0_14_14 = e0) & ~ (all_0_15_15 = all_0_18_18) & ~ (all_0_15_15 = e1) & ~ (all_0_15_15 = e0) & ~ (all_0_16_16 = all_0_17_17) & ~ (all_0_16_16 = all_0_18_18) & ~ (all_0_16_16 = all_0_19_19) & ~ (all_0_16_16 = all_0_20_20) & ~ (all_0_16_16 = e3) & ~ (all_0_17_17 = all_0_18_18) & ~ (all_0_17_17 = all_0_19_19) & ~ (all_0_17_17 = all_0_20_20) & ~ (all_0_18_18 = all_0_19_19) & ~ (all_0_18_18 = all_0_20_20) & ~ (all_0_18_18 = e1) & ~ (all_0_19_19 = all_0_20_20) & ~ (all_0_19_19 = e0) & ~ (all_0_20_20 = e1) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = all_0_0_0 & op(e4, e3) = all_0_1_1 & op(e4, e2) = e1 & op(e4, e1) = all_0_2_2 & op(e4, e0) = all_0_3_3 & op(e3, unit) = e3 & op(e3, e4) = all_0_4_4 & op(e3, e3) = all_0_5_5 & op(e3, e2) = all_0_6_6 & op(e3, e1) = all_0_7_7 & op(e3, e0) = all_0_8_8 & op(e2, unit) = e2 & op(e2, e4) = e3 & op(e2, e3) = all_0_9_9 & op(e2, e2) = all_0_10_10 & op(e2, e1) = all_0_11_11 & op(e2, e0) = all_0_12_12 & op(e1, unit) = e1 & op(e1, e4) = all_0_13_13 & op(e1, e3) = all_0_14_14 & op(e1, e2) = all_0_15_15 & op(e1, e1) = e0 & op(e1, e0) = e1 & op(e0, unit) = e0 & op(e0, e4) = all_0_16_16 & op(e0, e3) = all_0_17_17 & op(e0, e2) = all_0_18_18 & op(e0, e1) = all_0_19_19 & op(e0, e0) = all_0_20_20 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_5_5 = e2) | all_0_6_6 = e3) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0) & ( ~ (all_0_20_20 = e2) | all_0_18_18 = e0) & (all_0_0_0 = e4 | all_0_0_0 = e0) & (all_0_0_0 = e4 | all_0_1_1 = e4 | all_0_2_2 = e4 | all_0_3_3 = e4) & (all_0_0_0 = e4 | all_0_4_4 = e4 | all_0_13_13 = e4 | all_0_16_16 = e4) & (all_0_0_0 = e0 | all_0_1_1 = e0 | all_0_3_3 = e0) & (all_0_0_0 = e0 | all_0_4_4 = e0 | all_0_16_16 = e0) & (all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e2 | all_0_1_1 = e0) & (all_0_1_1 = e4 | all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4) & (all_0_1_1 = e3 | all_0_2_2 = e3 | all_0_3_3 = e3) & (all_0_1_1 = e3 | all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3) & (all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2) & (all_0_1_1 = e2 | all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2) & (all_0_1_1 = e0 | all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0) & (all_0_2_2 = e4 | all_0_2_2 = e3 | all_0_2_2 = e2) & (all_0_2_2 = e4 | all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4) & (all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_19_19 = e3) & (all_0_2_2 = e2 | all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2) & (all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e2 | all_0_3_3 = e0) & (all_0_3_3 = e4 | all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4) & (all_0_3_3 = e3 | all_0_8_8 = e3 | all_0_20_20 = e3) & (all_0_3_3 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2) & (all_0_3_3 = e0 | all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0) & (all_0_4_4 = e4 | all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0) & (all_0_4_4 = e4 | all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4) & (all_0_4_4 = e2 | all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2) & (all_0_4_4 = e2 | all_0_13_13 = e2 | all_0_16_16 = e2) & (all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_7_7 = e1) & (all_0_4_4 = e1 | all_0_16_16 = e1) & (all_0_4_4 = e0 | all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0) & (all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0) & (all_0_5_5 = e3 | all_0_6_6 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3) & (all_0_5_5 = e1 | all_0_9_9 = e1 | all_0_17_17 = e1) & (all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e2 | all_0_6_6 = e0) & (all_0_6_6 = e4 | all_0_15_15 = e4 | all_0_18_18 = e4) & (all_0_6_6 = e3 | all_0_15_15 = e3 | all_0_18_18 = e3) & (all_0_6_6 = e2 | all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2) & (all_0_6_6 = e0 | all_0_10_10 = e0 | all_0_18_18 = e0) & (all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1) & (all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1) & (all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0) & (all_0_9_9 = e4 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0) & (all_0_9_9 = e4 | all_0_11_11 = e4 | all_0_12_12 = e4) & (all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2 | all_0_12_12 = e2) & (all_0_9_9 = e1 | all_0_11_11 = e1) & (all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_12_12 = e0) & (all_0_10_10 = e2 | all_0_10_10 = e0) & (all_0_11_11 = e4 | all_0_11_11 = e2 | all_0_11_11 = e1) & (all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e0) & (all_0_13_13 = e4 | all_0_13_13 = e2) & (all_0_13_13 = e4 | all_0_14_14 = e4 | all_0_15_15 = e4) & (all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2) & (all_0_14_14 = e4 | all_0_14_14 = e3 | all_0_14_14 = e2) & (all_0_14_14 = e3 | all_0_15_15 = e3) & (all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e2) & (all_0_16_16 = e4 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0) & (all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4) & (all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2) & (all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_19_19 = e1) & (all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0) & (all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0) & (all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3) & (all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e0) & (all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1) & (all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))) | ( ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)))
% 18.14/4.82 |
% 18.14/4.82 | Applying alpha-rule on (1) yields:
% 18.14/4.82 | (2) ~ (all_0_5_5 = all_0_9_9)
% 18.14/4.82 | (3) ~ (all_0_5_5 = all_0_6_6)
% 18.14/4.82 | (4) ~ (all_0_7_7 = e0)
% 18.14/4.82 | (5) all_0_9_9 = e4 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 18.14/4.82 | (6) ~ (all_0_17_17 = all_0_19_19)
% 18.14/4.82 | (7) ~ (e4 = e0)
% 18.14/4.82 | (8) ~ (all_0_3_3 = all_0_8_8)
% 18.14/4.82 | (9) ~ (all_0_2_2 = all_0_7_7)
% 18.14/4.82 | (10) ~ (all_0_5_5 = e2) | all_0_6_6 = e3
% 18.14/4.82 | (11) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1
% 18.14/4.82 | (12) all_0_9_9 = e4 | all_0_11_11 = e4 | all_0_12_12 = e4
% 18.14/4.82 | (13) ~ (all_0_1_1 = all_0_9_9)
% 18.14/4.82 | (14) op(e0, e3) = all_0_17_17
% 18.14/4.82 | (15) ~ (all_0_0_0 = all_0_4_4)
% 18.14/4.82 | (16) ~ (all_0_2_2 = e1)
% 18.14/4.82 | (17) ~ (all_0_18_18 = e1)
% 18.14/4.82 | (18) ~ (all_0_18_18 = all_0_20_20)
% 18.14/4.82 | (19) ~ (all_0_2_2 = e0)
% 18.14/4.82 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 18.14/4.82 | (21) ~ (all_0_13_13 = all_0_14_14)
% 18.14/4.82 | (22) ~ (all_0_9_9 = all_0_12_12)
% 18.14/4.82 | (23) ~ (all_0_6_6 = all_0_7_7)
% 18.14/4.82 | (24) ~ (e4 = e3)
% 18.14/4.82 | (25) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_19_19 = e1
% 18.14/4.82 | (26) ~ (all_0_17_17 = all_0_20_20)
% 18.14/4.82 | (27) all_0_13_13 = e4 | all_0_13_13 = e2
% 18.14/4.82 | (28) ~ (all_0_4_4 = e3)
% 18.14/4.82 | (29) ~ (all_0_20_20 = e1)
% 18.14/4.82 | (30) ~ (all_0_12_12 = all_0_20_20)
% 18.14/4.82 | (31) all_0_1_1 = e0 | all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 18.14/4.83 | (32) all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_19_19 = e3
% 18.14/4.83 | (33) ~ (all_0_0_0 = e3)
% 18.14/4.83 | (34) ~ (all_0_6_6 = e1)
% 18.14/4.83 | (35) ~ (all_0_19_19 = all_0_20_20)
% 18.14/4.83 | (36) ~ (all_0_1_1 = all_0_17_17)
% 18.14/4.83 | (37) op(e4, e4) = all_0_0_0
% 18.14/4.83 | (38) ~ (all_0_14_14 = all_0_15_15)
% 18.14/4.83 | (39) ~ (all_0_4_4 = all_0_5_5)
% 18.14/4.83 | (40) all_0_6_6 = e0 | all_0_10_10 = e0 | all_0_18_18 = e0
% 18.14/4.83 | (41) all_0_0_0 = e4 | all_0_4_4 = e4 | all_0_13_13 = e4 | all_0_16_16 = e4
% 18.14/4.83 | (42) op(unit, e0) = e0
% 18.14/4.83 | (43) all_0_1_1 = e2 | all_0_2_2 = e2 | all_0_3_3 = e2
% 18.14/4.83 | (44) ~ (all_0_19_19 = e0)
% 18.14/4.83 | (45) ~ (e2 = e0)
% 18.14/4.83 | (46) op(e4, e0) = all_0_3_3
% 18.14/4.83 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 18.14/4.83 | (48) ~ (all_0_7_7 = all_0_19_19)
% 18.14/4.83 | (49) ~ (all_0_7_7 = all_0_8_8)
% 18.14/4.83 | (50) all_0_1_1 = e4 | all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 18.14/4.83 | (51) ~ (all_0_0_0 = all_0_2_2)
% 18.14/4.83 | (52) op(unit, e4) = e4
% 18.14/4.83 | (53) ~ (all_0_5_5 = e4)
% 18.14/4.83 | (54) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 18.14/4.83 | (55) ~ (all_0_5_5 = all_0_7_7)
% 18.14/4.83 | (56) all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1
% 18.14/4.83 | (57) op(e2, e0) = all_0_12_12
% 18.14/4.83 | (58) ~ (all_0_16_16 = e3)
% 18.14/4.83 | (59) ~ (all_0_15_15 = all_0_18_18)
% 18.14/4.83 | (60) all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e2 | all_0_1_1 = e0
% 18.14/4.83 | (61) ~ (e3 = e0)
% 18.14/4.83 | (62) all_0_4_4 = e4 | all_0_4_4 = e2 | all_0_4_4 = e1 | all_0_4_4 = e0
% 18.48/4.83 | (63) all_0_9_9 = e1 | all_0_11_11 = e1
% 18.48/4.83 | (64) all_0_4_4 = e0 | all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 18.48/4.83 | (65) op(e1, e1) = e0
% 18.48/4.83 | (66) ~ (all_0_5_5 = all_0_8_8)
% 18.48/4.83 | (67) all_0_3_3 = e0 | all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0
% 18.48/4.83 | (68) ~ (all_0_4_4 = all_0_13_13)
% 18.48/4.83 | (69) ~ (all_0_16_16 = all_0_19_19)
% 18.48/4.83 | (70) ~ (all_0_10_10 = all_0_12_12)
% 18.48/4.83 | (71) op(unit, e3) = e3
% 18.48/4.83 | (72) ~ (all_0_0_0 = e2)
% 18.48/4.83 | (73) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1
% 18.48/4.83 | (74) ~ (all_0_4_4 = all_0_7_7)
% 18.48/4.83 | (75) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))) | ( ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2))
% 18.48/4.84 | (76) all_0_4_4 = e1 | all_0_16_16 = e1
% 18.48/4.84 | (77) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0
% 18.48/4.84 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 18.48/4.84 | (79) all_0_4_4 = e2 | all_0_13_13 = e2 | all_0_16_16 = e2
% 18.48/4.84 | (80) all_0_6_6 = e2 | all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 18.48/4.84 | (81) ~ (all_0_11_11 = e0)
% 18.48/4.84 | (82) ~ (all_0_13_13 = all_0_15_15)
% 18.48/4.84 | (83) op(e1, e2) = all_0_15_15
% 18.48/4.84 | (84) ~ (all_0_2_2 = all_0_19_19)
% 18.48/4.84 | (85) all_0_0_0 = e0 | all_0_1_1 = e0 | all_0_3_3 = e0
% 18.48/4.84 | (86) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_12_12 = e0
% 18.48/4.84 | (87) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 18.48/4.84 | (88) ~ (all_0_5_5 = all_0_14_14)
% 18.48/4.84 | (89) op(e3, e2) = all_0_6_6
% 18.48/4.84 | (90) ~ (all_0_13_13 = e1)
% 18.48/4.84 | (91) all_0_14_14 = e3 | all_0_15_15 = e3
% 18.48/4.84 | (92) op(e3, e3) = all_0_5_5
% 18.48/4.84 | (93) ~ (all_0_4_4 = all_0_8_8)
% 18.48/4.84 | (94) all_0_3_3 = e4 | all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 18.48/4.84 | (95) all_0_6_6 = e3 | all_0_15_15 = e3 | all_0_18_18 = e3
% 18.48/4.84 | (96) op(e0, e0) = all_0_20_20
% 18.48/4.84 | (97) all_0_13_13 = e4 | all_0_14_14 = e4 | all_0_15_15 = e4
% 18.48/4.84 | (98) ~ (all_0_15_15 = e0)
% 18.48/4.84 | (99) ~ (all_0_4_4 = all_0_6_6)
% 18.48/4.84 | (100) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 18.48/4.84 | (101) all_0_2_2 = e2 | all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 18.48/4.84 | (102) all_0_1_1 = e3 | all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 18.48/4.84 | (103) ~ (all_0_1_1 = e1)
% 18.48/4.84 | (104) ~ (all_0_14_14 = all_0_17_17)
% 18.48/4.84 | (105) ~ (all_0_11_11 = all_0_12_12)
% 18.48/4.84 | (106) all_0_10_10 = e2 | all_0_10_10 = e0
% 18.48/4.84 | (107) ~ (all_0_16_16 = all_0_17_17)
% 18.48/4.84 | (108) ~ (all_0_8_8 = all_0_12_12)
% 18.48/4.84 | (109) op(e1, e0) = e1
% 18.48/4.84 | (110) ~ (all_0_0_0 = all_0_1_1)
% 18.48/4.84 | (111) ~ (all_0_10_10 = all_0_18_18)
% 18.48/4.84 | (112) op(e3, unit) = e3
% 18.48/4.84 | (113) ~ (all_0_10_10 = all_0_15_15)
% 18.48/4.84 | (114) ~ (all_0_10_10 = all_0_11_11)
% 18.48/4.84 | (115) ~ (all_0_16_16 = all_0_20_20)
% 18.48/4.84 | (116) all_0_3_3 = e2 | all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2
% 18.48/4.84 | (117) op(e1, e3) = all_0_14_14
% 18.48/4.84 | (118) ~ (all_0_1_1 = all_0_5_5)
% 18.48/4.84 | (119) ~ (all_0_5_5 = all_0_17_17)
% 18.48/4.84 | (120) op(e1, e4) = all_0_13_13
% 18.48/4.84 | (121) all_0_0_0 = e4 | all_0_0_0 = e0
% 18.48/4.84 | (122) all_0_1_1 = e3 | all_0_2_2 = e3 | all_0_3_3 = e3
% 18.48/4.84 | (123) ~ (all_0_13_13 = all_0_16_16)
% 18.48/4.84 | (124) ~ (all_0_9_9 = e3)
% 18.48/4.84 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 18.48/4.84 | (126) all_0_5_5 = e1 | all_0_9_9 = e1 | all_0_17_17 = e1
% 18.48/4.84 | (127) ~ (all_0_0_0 = all_0_13_13)
% 18.48/4.84 | (128) all_0_2_2 = e4 | all_0_2_2 = e3 | all_0_2_2 = e2
% 18.48/4.84 | (129) all_0_4_4 = e4 | all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 18.48/4.84 | (130) op(unit, e1) = e1
% 18.48/4.84 | (131) ~ (e1 = e0)
% 18.48/4.84 | (132) ~ (all_0_2_2 = all_0_11_11)
% 18.48/4.84 | (133) ~ (e3 = e1)
% 18.48/4.84 | (134) ~ (e2 = e1)
% 18.48/4.84 | (135) ~ (all_0_20_20 = e2) | all_0_18_18 = e0
% 18.48/4.84 | (136) ~ (all_0_1_1 = all_0_14_14)
% 18.48/4.84 | (137) ~ (all_0_17_17 = all_0_18_18)
% 18.48/4.84 | (138) ~ (all_0_6_6 = all_0_8_8)
% 18.48/4.84 | (139) op(e4, e3) = all_0_1_1
% 18.48/4.84 | (140) op(e3, e0) = all_0_8_8
% 18.48/4.84 | (141) ~ (all_0_13_13 = e3)
% 18.48/4.84 | (142) op(e0, e2) = all_0_18_18
% 18.48/4.85 | (143) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 18.48/4.85 | (144) op(e3, e1) = all_0_7_7
% 18.48/4.85 | (145) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 18.48/4.85 | (146) op(e1, unit) = e1
% 18.48/4.85 | (147) all_0_6_6 = e4 | all_0_15_15 = e4 | all_0_18_18 = e4
% 18.48/4.85 | (148) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e2 | all_0_3_3 = e0
% 18.48/4.85 | (149) ~ (all_0_0_0 = all_0_16_16)
% 18.48/4.85 | (150) op(e4, e2) = e1
% 18.48/4.85 | (151) ~ (all_0_6_6 = all_0_15_15)
% 18.48/4.85 | (152) all_0_1_1 = e2 | all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 18.48/4.85 | (153) op(unit, e2) = e2
% 18.48/4.85 | (154) ~ (all_0_18_18 = all_0_19_19)
% 18.48/4.85 | (155) ~ (all_0_6_6 = all_0_18_18)
% 18.48/4.85 | (156) ~ (all_0_0_0 = all_0_3_3)
% 18.48/4.85 | (157) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 18.48/4.85 | (158) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e0
% 18.48/4.85 | (159) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 18.48/4.85 | (160) all_0_3_3 = e3 | all_0_8_8 = e3 | all_0_20_20 = e3
% 18.48/4.85 | (161) ~ (all_0_16_16 = all_0_18_18)
% 18.48/4.85 | (162) op(e2, e1) = all_0_11_11
% 18.48/4.85 | (163) ~ (all_0_9_9 = all_0_17_17)
% 18.48/4.85 | (164) op(e2, e3) = all_0_9_9
% 18.48/4.85 | (165) op(e2, e4) = e3
% 18.48/4.85 | (166) ~ (all_0_10_10 = e4)
% 18.48/4.85 | (167) all_0_11_11 = e4 | all_0_11_11 = e2 | all_0_11_11 = e1
% 18.48/4.85 | (168) ~ (all_0_9_9 = all_0_10_10)
% 18.48/4.85 | (169) op(e2, unit) = e2
% 18.48/4.85 | (170) op(e2, e2) = all_0_10_10
% 18.48/4.85 | (171) ~ (all_0_7_7 = all_0_11_11)
% 18.48/4.85 | (172) ~ (all_0_12_12 = e1)
% 18.48/4.85 | (173) op(e0, e4) = all_0_16_16
% 18.48/4.85 | (174) ~ (all_0_10_10 = e3)
% 18.48/4.85 | (175) all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_7_7 = e1
% 18.48/4.85 | (176) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 18.48/4.85 | (177) ~ (all_0_10_10 = e1)
% 18.48/4.85 | (178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 18.48/4.85 | (179) op(e3, e4) = all_0_4_4
% 18.48/4.85 | (180) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e2 | all_0_6_6 = e0
% 18.48/4.85 | (181) ~ (all_0_14_14 = e1)
% 18.48/4.85 | (182) ~ (all_0_3_3 = e1)
% 18.48/4.85 | (183) ~ (all_0_15_15 = e1)
% 18.48/4.85 | (184) all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0
% 18.48/4.85 | (185) ~ (all_0_13_13 = e0)
% 18.48/4.85 | (186) ~ (all_0_14_14 = e0)
% 18.48/4.85 | (187) ~ (all_0_3_3 = all_0_12_12)
% 18.48/4.85 | (188) all_0_14_14 = e4 | all_0_14_14 = e3 | all_0_14_14 = e2
% 18.48/4.85 | (189) op(e4, e1) = all_0_2_2
% 18.48/4.85 | (190) ~ (all_0_1_1 = all_0_2_2)
% 18.48/4.85 | (191) ~ (e3 = e2)
% 18.48/4.85 | (192) all_0_5_5 = e3 | all_0_6_6 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 18.48/4.85 | (193) ~ (all_0_8_8 = all_0_20_20)
% 18.48/4.85 | (194) ~ (all_0_12_12 = e3)
% 18.48/4.85 | (195) ~ (all_0_8_8 = e1)
% 18.48/4.85 | (196) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e2
% 18.48/4.85 | (197) ~ (all_0_9_9 = all_0_11_11)
% 18.48/4.85 | (198) all_0_0_0 = e0 | all_0_4_4 = e0 | all_0_16_16 = e0
% 18.48/4.85 | (199) op(e4, unit) = e4
% 18.48/4.85 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 18.48/4.85 | (201) all_0_0_0 = e4 | all_0_1_1 = e4 | all_0_2_2 = e4 | all_0_3_3 = e4
% 18.48/4.85 | (202) ~ (all_0_0_0 = e1)
% 18.48/4.85 | (203) ~ (all_0_11_11 = e3)
% 18.48/4.85 | (204) ~ (all_0_4_4 = all_0_16_16)
% 18.48/4.85 | (205) ~ (e4 = e2)
% 18.48/4.85 | (206) all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e0
% 18.48/4.85 | (207) ~ (all_0_6_6 = all_0_10_10)
% 18.48/4.85 | (208) ~ (all_0_2_2 = all_0_3_3)
% 18.48/4.85 | (209) op(e0, e1) = all_0_19_19
% 18.48/4.85 | (210) ~ (all_0_9_9 = all_0_14_14)
% 18.48/4.85 | (211) all_0_2_2 = e4 | all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 18.48/4.85 | (212) ~ (all_0_3_3 = all_0_20_20)
% 18.48/4.85 | (213) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e0
% 18.48/4.85 | (214) all_0_16_16 = e4 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 18.48/4.85 | (215) ~ (all_0_1_1 = all_0_3_3)
% 18.48/4.86 | (216) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2 | all_0_12_12 = e2
% 18.48/4.86 | (217) ~ (e4 = e1)
% 18.48/4.86 | (218) all_0_4_4 = e2 | all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 18.48/4.86 | (219) ~ (all_0_11_11 = all_0_19_19)
% 18.48/4.86 | (220) op(e0, unit) = e0
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (20), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (221) ~ (all_0_10_10 = e0)
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (106), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (222) all_0_10_10 = e2
% 18.48/4.86 |
% 18.48/4.86 | Equations (222) can reduce 207 to:
% 18.48/4.86 | (223) ~ (all_0_6_6 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (222) can reduce 168 to:
% 18.48/4.86 | (224) ~ (all_0_9_9 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (222) can reduce 114 to:
% 18.48/4.86 | (225) ~ (all_0_11_11 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 225 yields:
% 18.48/4.86 | (226) ~ (all_0_11_11 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (222) can reduce 70 to:
% 18.48/4.86 | (227) ~ (all_0_12_12 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 227 yields:
% 18.48/4.86 | (228) ~ (all_0_12_12 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (222) can reduce 113 to:
% 18.48/4.86 | (229) ~ (all_0_15_15 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 229 yields:
% 18.48/4.86 | (230) ~ (all_0_15_15 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (222) can reduce 111 to:
% 18.48/4.86 | (231) ~ (all_0_18_18 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 231 yields:
% 18.48/4.86 | (232) ~ (all_0_18_18 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (222) can reduce 166 to:
% 18.48/4.86 | (233) ~ (e4 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 233 yields:
% 18.48/4.86 | (205) ~ (e4 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (222) can reduce 174 to:
% 18.48/4.86 | (235) ~ (e3 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 235 yields:
% 18.48/4.86 | (191) ~ (e3 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (222) can reduce 221 to:
% 18.48/4.86 | (45) ~ (e2 = e0)
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (10), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (238) ~ (all_0_5_5 = e2)
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (27), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (239) all_0_13_13 = e2
% 18.48/4.86 |
% 18.48/4.86 | Equations (239) can reduce 68 to:
% 18.48/4.86 | (240) ~ (all_0_4_4 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (239) can reduce 21 to:
% 18.48/4.86 | (241) ~ (all_0_14_14 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 241 yields:
% 18.48/4.86 | (242) ~ (all_0_14_14 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (239) can reduce 82 to:
% 18.48/4.86 | (229) ~ (all_0_15_15 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 229 yields:
% 18.48/4.86 | (230) ~ (all_0_15_15 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (239) can reduce 123 to:
% 18.48/4.86 | (245) ~ (all_0_16_16 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 245 yields:
% 18.48/4.86 | (246) ~ (all_0_16_16 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (239) can reduce 141 to:
% 18.48/4.86 | (235) ~ (e3 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 235 yields:
% 18.48/4.86 | (191) ~ (e3 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (239) can reduce 185 to:
% 18.48/4.86 | (45) ~ (e2 = e0)
% 18.48/4.86 |
% 18.48/4.86 | From (239) and (120) follows:
% 18.48/4.86 | (250) op(e1, e4) = e2
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (135), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (251) ~ (all_0_20_20 = e2)
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (47), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (252) ~ (all_0_0_0 = e0)
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (121), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (253) all_0_0_0 = e4
% 18.48/4.86 |
% 18.48/4.86 | Equations (253) can reduce 110 to:
% 18.48/4.86 | (254) ~ (all_0_1_1 = e4)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 254 yields:
% 18.48/4.86 | (255) ~ (all_0_1_1 = e4)
% 18.48/4.86 |
% 18.48/4.86 | Equations (253) can reduce 51 to:
% 18.48/4.86 | (256) ~ (all_0_2_2 = e4)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 256 yields:
% 18.48/4.86 | (257) ~ (all_0_2_2 = e4)
% 18.48/4.86 |
% 18.48/4.86 | Equations (253) can reduce 156 to:
% 18.48/4.86 | (258) ~ (all_0_3_3 = e4)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 258 yields:
% 18.48/4.86 | (259) ~ (all_0_3_3 = e4)
% 18.48/4.86 |
% 18.48/4.86 | Equations (253) can reduce 15 to:
% 18.48/4.86 | (260) ~ (all_0_4_4 = e4)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 260 yields:
% 18.48/4.86 | (261) ~ (all_0_4_4 = e4)
% 18.48/4.86 |
% 18.48/4.86 | Equations (253) can reduce 33 to:
% 18.48/4.86 | (24) ~ (e4 = e3)
% 18.48/4.86 |
% 18.48/4.86 | Equations (253) can reduce 252 to:
% 18.48/4.86 | (7) ~ (e4 = e0)
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (176), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (264) ~ (all_0_20_20 = e4)
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (125), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (265) ~ (all_0_5_5 = e1)
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (167), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (266) all_0_11_11 = e2
% 18.48/4.86 |
% 18.48/4.86 | Equations (266) can reduce 226 to:
% 18.48/4.86 | (267) $false
% 18.48/4.86 |
% 18.48/4.86 |-The branch is then unsatisfiable
% 18.48/4.86 |-Branch two:
% 18.48/4.86 | (226) ~ (all_0_11_11 = e2)
% 18.48/4.86 | (269) all_0_11_11 = e4 | all_0_11_11 = e1
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (128), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (270) all_0_2_2 = e2
% 18.48/4.86 |
% 18.48/4.86 | Equations (270) can reduce 208 to:
% 18.48/4.86 | (271) ~ (all_0_3_3 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 271 yields:
% 18.48/4.86 | (272) ~ (all_0_3_3 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (270) can reduce 84 to:
% 18.48/4.86 | (273) ~ (all_0_19_19 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 273 yields:
% 18.48/4.86 | (274) ~ (all_0_19_19 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Equations (270) can reduce 257 to:
% 18.48/4.86 | (233) ~ (e4 = e2)
% 18.48/4.86 |
% 18.48/4.86 | Simplifying 233 yields:
% 18.48/4.86 | (205) ~ (e4 = e2)
% 18.48/4.86 |
% 18.48/4.86 +-Applying beta-rule and splitting (116), into two cases.
% 18.48/4.86 |-Branch one:
% 18.48/4.86 | (277) all_0_3_3 = e2
% 18.48/4.86 |
% 18.48/4.86 | Equations (277) can reduce 272 to:
% 18.48/4.86 | (267) $false
% 18.48/4.86 |
% 18.48/4.86 |-The branch is then unsatisfiable
% 18.48/4.86 |-Branch two:
% 18.48/4.86 | (272) ~ (all_0_3_3 = e2)
% 18.48/4.87 | (280) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2
% 18.48/4.87 |
% 18.48/4.87 +-Applying beta-rule and splitting (280), into two cases.
% 18.48/4.87 |-Branch one:
% 18.48/4.87 | (281) all_0_8_8 = e2
% 18.48/4.87 |
% 18.48/4.87 | Equations (281) can reduce 193 to:
% 18.48/4.87 | (282) ~ (all_0_20_20 = e2)
% 18.48/4.87 |
% 18.48/4.87 | Simplifying 282 yields:
% 18.48/4.87 | (251) ~ (all_0_20_20 = e2)
% 18.48/4.87 |
% 18.48/4.87 +-Applying beta-rule and splitting (100), into two cases.
% 18.48/4.87 |-Branch one:
% 18.48/4.87 | (284) all_0_16_16 = e2
% 18.48/4.87 |
% 18.48/4.87 | Equations (284) can reduce 246 to:
% 18.48/4.87 | (267) $false
% 18.48/4.87 |
% 18.48/4.87 |-The branch is then unsatisfiable
% 18.48/4.87 |-Branch two:
% 18.48/4.87 | (246) ~ (all_0_16_16 = e2)
% 18.48/4.87 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 18.48/4.87 |
% 18.48/4.87 +-Applying beta-rule and splitting (287), into two cases.
% 18.48/4.87 |-Branch one:
% 18.48/4.87 | (288) all_0_17_17 = e2
% 18.48/4.87 |
% 18.48/4.87 | Equations (288) can reduce 163 to:
% 18.48/4.87 | (224) ~ (all_0_9_9 = e2)
% 18.48/4.87 |
% 18.48/4.87 | Equations (288) can reduce 26 to:
% 18.67/4.87 | (282) ~ (all_0_20_20 = e2)
% 18.67/4.87 |
% 18.67/4.87 | Simplifying 282 yields:
% 18.67/4.87 | (251) ~ (all_0_20_20 = e2)
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (94), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (292) all_0_3_3 = e4
% 18.67/4.87 |
% 18.67/4.87 | Equations (292) can reduce 259 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (259) ~ (all_0_3_3 = e4)
% 18.67/4.87 | (295) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (295), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (296) all_0_8_8 = e4
% 18.67/4.87 |
% 18.67/4.87 | Combining equations (281,296) yields a new equation:
% 18.67/4.87 | (297) e4 = e2
% 18.67/4.87 |
% 18.67/4.87 | Equations (297) can reduce 205 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (299) ~ (all_0_8_8 = e4)
% 18.67/4.87 | (300) all_0_12_12 = e4 | all_0_20_20 = e4
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (300), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (301) all_0_12_12 = e4
% 18.67/4.87 |
% 18.67/4.87 | Equations (301) can reduce 22 to:
% 18.67/4.87 | (302) ~ (all_0_9_9 = e4)
% 18.67/4.87 |
% 18.67/4.87 | Equations (301) can reduce 105 to:
% 18.67/4.87 | (303) ~ (all_0_11_11 = e4)
% 18.67/4.87 |
% 18.67/4.87 | Equations (301) can reduce 30 to:
% 18.67/4.87 | (304) ~ (all_0_20_20 = e4)
% 18.67/4.87 |
% 18.67/4.87 | Simplifying 304 yields:
% 18.67/4.87 | (264) ~ (all_0_20_20 = e4)
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (269), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (306) all_0_11_11 = e4
% 18.67/4.87 |
% 18.67/4.87 | Equations (306) can reduce 303 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (303) ~ (all_0_11_11 = e4)
% 18.67/4.87 | (309) all_0_11_11 = e1
% 18.67/4.87 |
% 18.67/4.87 | Equations (309) can reduce 197 to:
% 18.67/4.87 | (310) ~ (all_0_9_9 = e1)
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (5), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (311) all_0_9_9 = e2
% 18.67/4.87 |
% 18.67/4.87 | Equations (311) can reduce 224 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (224) ~ (all_0_9_9 = e2)
% 18.67/4.87 | (314) all_0_9_9 = e4 | all_0_9_9 = e1 | all_0_9_9 = e0
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (314), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (315) all_0_9_9 = e4
% 18.67/4.87 |
% 18.67/4.87 | Equations (315) can reduce 302 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (302) ~ (all_0_9_9 = e4)
% 18.67/4.87 | (318) all_0_9_9 = e1 | all_0_9_9 = e0
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (318), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (319) all_0_9_9 = e0
% 18.67/4.87 |
% 18.67/4.87 | Equations (319) can reduce 13 to:
% 18.67/4.87 | (320) ~ (all_0_1_1 = e0)
% 18.67/4.87 |
% 18.67/4.87 | Equations (319) can reduce 302 to:
% 18.67/4.87 | (321) ~ (e4 = e0)
% 18.67/4.87 |
% 18.67/4.87 | Simplifying 321 yields:
% 18.67/4.87 | (7) ~ (e4 = e0)
% 18.67/4.87 |
% 18.67/4.87 | Equations (319) can reduce 224 to:
% 18.67/4.87 | (323) ~ (e2 = e0)
% 18.67/4.87 |
% 18.67/4.87 | Simplifying 323 yields:
% 18.67/4.87 | (45) ~ (e2 = e0)
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (78), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (325) ~ (all_0_20_20 = e3)
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (85), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (326) all_0_0_0 = e0
% 18.67/4.87 |
% 18.67/4.87 | Combining equations (326,253) yields a new equation:
% 18.67/4.87 | (327) e4 = e0
% 18.67/4.87 |
% 18.67/4.87 | Equations (327) can reduce 7 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (252) ~ (all_0_0_0 = e0)
% 18.67/4.87 | (330) all_0_1_1 = e0 | all_0_3_3 = e0
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (330), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (331) all_0_1_1 = e0
% 18.67/4.87 |
% 18.67/4.87 | Equations (331) can reduce 320 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (320) ~ (all_0_1_1 = e0)
% 18.67/4.87 | (334) all_0_3_3 = e0
% 18.67/4.87 |
% 18.67/4.87 | Equations (334) can reduce 212 to:
% 18.67/4.87 | (335) ~ (all_0_20_20 = e0)
% 18.67/4.87 |
% 18.67/4.87 | Simplifying 335 yields:
% 18.67/4.87 | (336) ~ (all_0_20_20 = e0)
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (158), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (337) all_0_20_20 = e2
% 18.67/4.87 |
% 18.67/4.87 | Equations (337) can reduce 251 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (251) ~ (all_0_20_20 = e2)
% 18.67/4.87 | (340) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (340), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (341) all_0_20_20 = e4
% 18.67/4.87 |
% 18.67/4.87 | Equations (341) can reduce 264 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (264) ~ (all_0_20_20 = e4)
% 18.67/4.87 | (344) all_0_20_20 = e3 | all_0_20_20 = e0
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (344), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (345) all_0_20_20 = e0
% 18.67/4.87 |
% 18.67/4.87 | Equations (345) can reduce 336 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (336) ~ (all_0_20_20 = e0)
% 18.67/4.87 | (348) all_0_20_20 = e3
% 18.67/4.87 |
% 18.67/4.87 | Equations (348) can reduce 325 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (348) all_0_20_20 = e3
% 18.67/4.87 | (351) all_0_17_17 = e0
% 18.67/4.87 |
% 18.67/4.87 | Combining equations (288,351) yields a new equation:
% 18.67/4.87 | (352) e2 = e0
% 18.67/4.87 |
% 18.67/4.87 | Simplifying 352 yields:
% 18.67/4.87 | (353) e2 = e0
% 18.67/4.87 |
% 18.67/4.87 | Equations (353) can reduce 45 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (355) ~ (all_0_9_9 = e0)
% 18.67/4.87 | (356) all_0_9_9 = e1
% 18.67/4.87 |
% 18.67/4.87 | Equations (356) can reduce 310 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (358) ~ (all_0_12_12 = e4)
% 18.67/4.87 | (341) all_0_20_20 = e4
% 18.67/4.87 |
% 18.67/4.87 | Equations (341) can reduce 264 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (361) ~ (all_0_17_17 = e2)
% 18.67/4.87 | (362) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (362), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (363) all_0_18_18 = e2
% 18.67/4.87 |
% 18.67/4.87 | Equations (363) can reduce 232 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (232) ~ (all_0_18_18 = e2)
% 18.67/4.87 | (366) all_0_19_19 = e2 | all_0_20_20 = e2
% 18.67/4.87 |
% 18.67/4.87 +-Applying beta-rule and splitting (366), into two cases.
% 18.67/4.87 |-Branch one:
% 18.67/4.87 | (367) all_0_19_19 = e2
% 18.67/4.87 |
% 18.67/4.87 | Equations (367) can reduce 274 to:
% 18.67/4.87 | (267) $false
% 18.67/4.87 |
% 18.67/4.87 |-The branch is then unsatisfiable
% 18.67/4.87 |-Branch two:
% 18.67/4.87 | (274) ~ (all_0_19_19 = e2)
% 18.67/4.87 | (337) all_0_20_20 = e2
% 18.67/4.87 |
% 18.67/4.87 | Equations (337) can reduce 251 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (372) ~ (all_0_8_8 = e2)
% 18.67/4.88 | (373) all_0_12_12 = e2 | all_0_20_20 = e2
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (373), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (374) all_0_12_12 = e2
% 18.67/4.88 |
% 18.67/4.88 | Equations (374) can reduce 228 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (228) ~ (all_0_12_12 = e2)
% 18.67/4.88 | (337) all_0_20_20 = e2
% 18.67/4.88 |
% 18.67/4.88 | Equations (337) can reduce 251 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (379) ~ (all_0_2_2 = e2)
% 18.67/4.88 | (380) all_0_2_2 = e4 | all_0_2_2 = e3
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (380), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (381) all_0_2_2 = e4
% 18.67/4.88 |
% 18.67/4.88 | Equations (381) can reduce 257 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (257) ~ (all_0_2_2 = e4)
% 18.67/4.88 | (384) all_0_2_2 = e3
% 18.67/4.88 |
% 18.67/4.88 | Equations (384) can reduce 208 to:
% 18.67/4.88 | (385) ~ (all_0_3_3 = e3)
% 18.67/4.88 |
% 18.67/4.88 | Simplifying 385 yields:
% 18.67/4.88 | (386) ~ (all_0_3_3 = e3)
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (188), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (387) all_0_14_14 = e2
% 18.67/4.88 |
% 18.67/4.88 | Equations (387) can reduce 242 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (242) ~ (all_0_14_14 = e2)
% 18.67/4.88 | (390) all_0_14_14 = e4 | all_0_14_14 = e3
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (91), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (391) all_0_14_14 = e3
% 18.67/4.88 |
% 18.67/4.88 | Equations (391) can reduce 88 to:
% 18.67/4.88 | (392) ~ (all_0_5_5 = e3)
% 18.67/4.88 |
% 18.67/4.88 | Equations (391) can reduce 38 to:
% 18.67/4.88 | (393) ~ (all_0_15_15 = e3)
% 18.67/4.88 |
% 18.67/4.88 | Simplifying 393 yields:
% 18.67/4.88 | (394) ~ (all_0_15_15 = e3)
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (196), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (395) all_0_15_15 = e2
% 18.67/4.88 |
% 18.67/4.88 | Equations (395) can reduce 230 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (230) ~ (all_0_15_15 = e2)
% 18.67/4.88 | (398) all_0_15_15 = e4 | all_0_15_15 = e3
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (398), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (399) all_0_15_15 = e4
% 18.67/4.88 |
% 18.67/4.88 | Equations (399) can reduce 151 to:
% 18.67/4.88 | (400) ~ (all_0_6_6 = e4)
% 18.67/4.88 |
% 18.67/4.88 | Equations (399) can reduce 394 to:
% 18.67/4.88 | (24) ~ (e4 = e3)
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (184), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (402) all_0_5_5 = e2
% 18.67/4.88 |
% 18.67/4.88 | Equations (402) can reduce 238 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (238) ~ (all_0_5_5 = e2)
% 18.67/4.88 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (405), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (406) all_0_5_5 = e0
% 18.67/4.88 |
% 18.67/4.88 | Equations (406) can reduce 3 to:
% 18.67/4.88 | (407) ~ (all_0_6_6 = e0)
% 18.67/4.88 |
% 18.67/4.88 | Simplifying 407 yields:
% 18.67/4.88 | (408) ~ (all_0_6_6 = e0)
% 18.67/4.88 |
% 18.67/4.88 | Equations (406) can reduce 238 to:
% 18.67/4.88 | (323) ~ (e2 = e0)
% 18.67/4.88 |
% 18.67/4.88 | Simplifying 323 yields:
% 18.67/4.88 | (45) ~ (e2 = e0)
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (40), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (411) all_0_6_6 = e0
% 18.67/4.88 |
% 18.67/4.88 | Equations (411) can reduce 408 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (408) ~ (all_0_6_6 = e0)
% 18.67/4.88 | (414) all_0_10_10 = e0 | all_0_18_18 = e0
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (414), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (415) all_0_10_10 = e0
% 18.67/4.88 |
% 18.67/4.88 | Combining equations (222,415) yields a new equation:
% 18.67/4.88 | (352) e2 = e0
% 18.67/4.88 |
% 18.67/4.88 | Simplifying 352 yields:
% 18.67/4.88 | (353) e2 = e0
% 18.67/4.88 |
% 18.67/4.88 | Equations (353) can reduce 45 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (221) ~ (all_0_10_10 = e0)
% 18.67/4.88 | (420) all_0_18_18 = e0
% 18.67/4.88 |
% 18.67/4.88 | Equations (420) can reduce 155 to:
% 18.67/4.88 | (408) ~ (all_0_6_6 = e0)
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (200), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (422) ~ (all_0_5_5 = e0)
% 18.67/4.88 |
% 18.67/4.88 | Equations (406) can reduce 422 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (406) all_0_5_5 = e0
% 18.67/4.88 | (425) all_0_8_8 = e3
% 18.67/4.88 |
% 18.67/4.88 | Equations (425) can reduce 138 to:
% 18.67/4.88 | (426) ~ (all_0_6_6 = e3)
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (129), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (427) all_0_4_4 = e4
% 18.67/4.88 |
% 18.67/4.88 | Equations (427) can reduce 261 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (261) ~ (all_0_4_4 = e4)
% 18.67/4.88 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (430), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (431) all_0_6_6 = e4
% 18.67/4.88 |
% 18.67/4.88 | Equations (431) can reduce 400 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (400) ~ (all_0_6_6 = e4)
% 18.67/4.88 | (434) all_0_7_7 = e4 | all_0_8_8 = e4
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (434), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (435) all_0_7_7 = e4
% 18.67/4.88 |
% 18.67/4.88 | Equations (435) can reduce 23 to:
% 18.67/4.88 | (400) ~ (all_0_6_6 = e4)
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (180), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (437) all_0_6_6 = e2
% 18.67/4.88 |
% 18.67/4.88 | Equations (437) can reduce 223 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (223) ~ (all_0_6_6 = e2)
% 18.67/4.88 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (440), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (431) all_0_6_6 = e4
% 18.67/4.88 |
% 18.67/4.88 | Equations (431) can reduce 400 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (400) ~ (all_0_6_6 = e4)
% 18.67/4.88 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (444), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (411) all_0_6_6 = e0
% 18.67/4.88 |
% 18.67/4.88 | Equations (411) can reduce 408 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (408) ~ (all_0_6_6 = e0)
% 18.67/4.88 | (448) all_0_6_6 = e3
% 18.67/4.88 |
% 18.67/4.88 | Equations (448) can reduce 426 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (450) ~ (all_0_7_7 = e4)
% 18.67/4.88 | (296) all_0_8_8 = e4
% 18.67/4.88 |
% 18.67/4.88 | Combining equations (425,296) yields a new equation:
% 18.67/4.88 | (452) e4 = e3
% 18.67/4.88 |
% 18.67/4.88 | Equations (452) can reduce 24 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (422) ~ (all_0_5_5 = e0)
% 18.67/4.88 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (455), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (456) all_0_5_5 = e3
% 18.67/4.88 |
% 18.67/4.88 | Equations (456) can reduce 392 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (392) ~ (all_0_5_5 = e3)
% 18.67/4.88 | (459) all_0_5_5 = e1
% 18.67/4.88 |
% 18.67/4.88 | Equations (459) can reduce 265 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (461) ~ (all_0_15_15 = e4)
% 18.67/4.88 | (462) all_0_15_15 = e3
% 18.67/4.88 |
% 18.67/4.88 | Equations (462) can reduce 394 to:
% 18.67/4.88 | (267) $false
% 18.67/4.88 |
% 18.67/4.88 |-The branch is then unsatisfiable
% 18.67/4.88 |-Branch two:
% 18.67/4.88 | (464) ~ (all_0_14_14 = e3)
% 18.67/4.88 | (462) all_0_15_15 = e3
% 18.67/4.88 |
% 18.67/4.88 | Equations (462) can reduce 38 to:
% 18.67/4.88 | (464) ~ (all_0_14_14 = e3)
% 18.67/4.88 |
% 18.67/4.88 | Equations (462) can reduce 59 to:
% 18.67/4.88 | (467) ~ (all_0_18_18 = e3)
% 18.67/4.88 |
% 18.67/4.88 | Simplifying 467 yields:
% 18.67/4.88 | (468) ~ (all_0_18_18 = e3)
% 18.67/4.88 |
% 18.67/4.88 | Equations (462) can reduce 230 to:
% 18.67/4.88 | (191) ~ (e3 = e2)
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (390), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (470) all_0_14_14 = e4
% 18.67/4.88 |
% 18.67/4.88 | Equations (470) can reduce 210 to:
% 18.67/4.88 | (302) ~ (all_0_9_9 = e4)
% 18.67/4.88 |
% 18.67/4.88 +-Applying beta-rule and splitting (75), into two cases.
% 18.67/4.88 |-Branch one:
% 18.67/4.88 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 18.67/4.89 |
% 18.67/4.89 +-Applying beta-rule and splitting (472), into two cases.
% 18.67/4.89 |-Branch one:
% 18.67/4.89 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 18.67/4.89 |
% 18.67/4.89 +-Applying beta-rule and splitting (473), into two cases.
% 18.67/4.89 |-Branch one:
% 18.67/4.89 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 18.67/4.89 |
% 18.67/4.89 +-Applying beta-rule and splitting (474), into two cases.
% 18.67/4.89 |-Branch one:
% 18.67/4.89 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 18.67/4.89 |
% 18.67/4.89 | Applying alpha-rule on (475) yields:
% 18.67/4.89 | (270) all_0_2_2 = e2
% 18.67/4.89 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 18.67/4.89 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 18.67/4.89 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 18.67/4.89 | (310) ~ (all_0_9_9 = e1)
% 18.67/4.89 | (481) ~ (unit = e1)
% 18.67/4.89 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 18.67/4.89 |
% 18.67/4.89 | Combining equations (270,384) yields a new equation:
% 18.67/4.89 | (483) e3 = e2
% 18.67/4.89 |
% 18.67/4.89 | Equations (483) can reduce 191 to:
% 18.67/4.89 | (267) $false
% 18.67/4.89 |
% 18.67/4.89 |-The branch is then unsatisfiable
% 18.67/4.89 |-Branch two:
% 18.67/4.89 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 18.67/4.89 |
% 18.67/4.89 | Applying alpha-rule on (485) yields:
% 18.67/4.89 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 18.67/4.89 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 18.67/4.89 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 18.67/4.89 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 18.67/4.89 | (315) all_0_9_9 = e4
% 18.67/4.89 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 18.67/4.89 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 18.67/4.89 | (493) ~ (unit = e3)
% 18.67/4.89 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 18.67/4.89 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 18.67/4.89 | (496) ~ (all_0_2_2 = e3)
% 18.67/4.89 |
% 18.67/4.89 | Equations (315) can reduce 302 to:
% 18.67/4.89 | (267) $false
% 18.67/4.89 |
% 18.67/4.89 |-The branch is then unsatisfiable
% 18.67/4.89 |-Branch two:
% 18.67/4.89 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 18.67/4.89 |
% 18.67/4.89 | Applying alpha-rule on (498) yields:
% 18.67/4.89 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 18.67/4.89 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 18.67/4.89 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 18.67/4.89 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 18.67/4.89 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 18.67/4.89 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 18.67/4.89 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 18.67/4.89 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 18.67/4.89 | (358) ~ (all_0_12_12 = e4)
% 18.67/4.89 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 18.67/4.89 | (255) ~ (all_0_1_1 = e4)
% 18.67/4.89 | (510) ~ (all_0_17_17 = e4)
% 18.67/4.89 | (257) ~ (all_0_2_2 = e4)
% 18.67/4.89 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 18.67/4.89 | (303) ~ (all_0_11_11 = e4)
% 18.67/4.89 | (514) ~ (all_0_14_14 = e4)
% 18.67/4.89 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 18.67/4.89 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 18.67/4.89 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 18.67/4.89 |
% 18.67/4.89 | Equations (470) can reduce 514 to:
% 18.67/4.89 | (267) $false
% 18.67/4.89 |
% 18.67/4.89 |-The branch is then unsatisfiable
% 18.67/4.89 |-Branch two:
% 18.67/4.89 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 18.67/4.89 |
% 18.67/4.89 | Applying alpha-rule on (519) yields:
% 18.67/4.89 | (520) ~ (all_0_1_1 = e2)
% 18.67/4.89 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 18.67/4.89 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 18.67/4.89 | (226) ~ (all_0_11_11 = e2)
% 18.67/4.89 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 18.67/4.89 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 18.67/4.89 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 18.67/4.89 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 18.67/4.89 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 18.67/4.89 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 18.67/4.89 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 18.67/4.89 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 18.67/4.89 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 18.67/4.89 | (272) ~ (all_0_3_3 = e2)
% 18.67/4.89 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 18.67/4.90 | (274) ~ (all_0_19_19 = e2)
% 18.67/4.90 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 18.67/4.90 | (537) ~ (all_0_7_7 = e2)
% 18.67/4.90 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 18.67/4.90 | (224) ~ (all_0_9_9 = e2)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (43), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (540) all_0_1_1 = e2
% 18.67/4.90 |
% 18.67/4.90 | Equations (540) can reduce 520 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (520) ~ (all_0_1_1 = e2)
% 18.67/4.90 | (543) all_0_2_2 = e2 | all_0_3_3 = e2
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (101), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (270) all_0_2_2 = e2
% 18.67/4.90 |
% 18.67/4.90 | Combining equations (384,270) yields a new equation:
% 18.67/4.90 | (545) e3 = e2
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 545 yields:
% 18.67/4.90 | (483) e3 = e2
% 18.67/4.90 |
% 18.67/4.90 | Equations (483) can reduce 191 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (379) ~ (all_0_2_2 = e2)
% 18.67/4.90 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 18.67/4.90 |
% 18.67/4.90 | Equations (384) can reduce 379 to:
% 18.67/4.90 | (191) ~ (e3 = e2)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (543), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (270) all_0_2_2 = e2
% 18.67/4.90 |
% 18.67/4.90 | Combining equations (384,270) yields a new equation:
% 18.67/4.90 | (545) e3 = e2
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 545 yields:
% 18.67/4.90 | (483) e3 = e2
% 18.67/4.90 |
% 18.67/4.90 | Equations (483) can reduce 191 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (379) ~ (all_0_2_2 = e2)
% 18.67/4.90 | (277) all_0_3_3 = e2
% 18.67/4.90 |
% 18.67/4.90 | Equations (277) can reduce 272 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 18.67/4.90 |
% 18.67/4.90 | Applying alpha-rule on (558) yields:
% 18.67/4.90 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 18.67/4.90 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 18.67/4.90 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 18.67/4.90 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 18.67/4.90 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 18.67/4.90 | (564) ~ (unit = e0)
% 18.67/4.90 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 18.67/4.90 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 18.67/4.90 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 18.67/4.90 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 18.67/4.90 | (355) ~ (all_0_9_9 = e0)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (567), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (570) ~ (all_0_18_18 = e0)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (86), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (319) all_0_9_9 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (319) can reduce 355 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (355) ~ (all_0_9_9 = e0)
% 18.67/4.90 | (574) all_0_10_10 = e0 | all_0_12_12 = e0
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (574), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (415) all_0_10_10 = e0
% 18.67/4.90 |
% 18.67/4.90 | Combining equations (222,415) yields a new equation:
% 18.67/4.90 | (352) e2 = e0
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 352 yields:
% 18.67/4.90 | (353) e2 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (353) can reduce 45 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (221) ~ (all_0_10_10 = e0)
% 18.67/4.90 | (580) all_0_12_12 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (580) can reduce 187 to:
% 18.67/4.90 | (581) ~ (all_0_3_3 = e0)
% 18.67/4.90 |
% 18.67/4.90 | Equations (580) can reduce 105 to:
% 18.67/4.90 | (81) ~ (all_0_11_11 = e0)
% 18.67/4.90 |
% 18.67/4.90 | Equations (580) can reduce 30 to:
% 18.67/4.90 | (335) ~ (all_0_20_20 = e0)
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 335 yields:
% 18.67/4.90 | (336) ~ (all_0_20_20 = e0)
% 18.67/4.90 |
% 18.67/4.90 | Equations (580) can reduce 228 to:
% 18.67/4.90 | (323) ~ (e2 = e0)
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 323 yields:
% 18.67/4.90 | (45) ~ (e2 = e0)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (566), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (587) ~ (all_0_16_16 = e0)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (94), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (292) all_0_3_3 = e4
% 18.67/4.90 |
% 18.67/4.90 | Equations (292) can reduce 259 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (259) ~ (all_0_3_3 = e4)
% 18.67/4.90 | (295) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (40), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (411) all_0_6_6 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (411) can reduce 155 to:
% 18.67/4.90 | (593) ~ (all_0_18_18 = e0)
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 593 yields:
% 18.67/4.90 | (570) ~ (all_0_18_18 = e0)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (213), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (363) all_0_18_18 = e2
% 18.67/4.90 |
% 18.67/4.90 | Equations (363) can reduce 232 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (232) ~ (all_0_18_18 = e2)
% 18.67/4.90 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (598), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (599) all_0_18_18 = e4
% 18.67/4.90 |
% 18.67/4.90 | Equations (599) can reduce 137 to:
% 18.67/4.90 | (510) ~ (all_0_17_17 = e4)
% 18.67/4.90 |
% 18.67/4.90 | Equations (599) can reduce 154 to:
% 18.67/4.90 | (601) ~ (all_0_19_19 = e4)
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 601 yields:
% 18.67/4.90 | (602) ~ (all_0_19_19 = e4)
% 18.67/4.90 |
% 18.67/4.90 | Equations (599) can reduce 18 to:
% 18.67/4.90 | (304) ~ (all_0_20_20 = e4)
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 304 yields:
% 18.67/4.90 | (264) ~ (all_0_20_20 = e4)
% 18.67/4.90 |
% 18.67/4.90 | Equations (599) can reduce 468 to:
% 18.67/4.90 | (24) ~ (e4 = e3)
% 18.67/4.90 |
% 18.67/4.90 | Equations (599) can reduce 570 to:
% 18.67/4.90 | (7) ~ (e4 = e0)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (148), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (277) all_0_3_3 = e2
% 18.67/4.90 |
% 18.67/4.90 | Equations (277) can reduce 581 to:
% 18.67/4.90 | (45) ~ (e2 = e0)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (145), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (609) all_0_16_16 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (609) can reduce 587 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (587) ~ (all_0_16_16 = e0)
% 18.67/4.90 | (612) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (612), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (351) all_0_17_17 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (351) can reduce 36 to:
% 18.67/4.90 | (320) ~ (all_0_1_1 = e0)
% 18.67/4.90 |
% 18.67/4.90 | Equations (351) can reduce 510 to:
% 18.67/4.90 | (321) ~ (e4 = e0)
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 321 yields:
% 18.67/4.90 | (7) ~ (e4 = e0)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (295), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (296) all_0_8_8 = e4
% 18.67/4.90 |
% 18.67/4.90 | Equations (296) can reduce 49 to:
% 18.67/4.90 | (450) ~ (all_0_7_7 = e4)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (211), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (381) all_0_2_2 = e4
% 18.67/4.90 |
% 18.67/4.90 | Combining equations (381,384) yields a new equation:
% 18.67/4.90 | (620) e4 = e3
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 620 yields:
% 18.67/4.90 | (452) e4 = e3
% 18.67/4.90 |
% 18.67/4.90 | Equations (452) can reduce 24 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (257) ~ (all_0_2_2 = e4)
% 18.67/4.90 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (624), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (435) all_0_7_7 = e4
% 18.67/4.90 |
% 18.67/4.90 | Equations (435) can reduce 450 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (450) ~ (all_0_7_7 = e4)
% 18.67/4.90 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (628), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (306) all_0_11_11 = e4
% 18.67/4.90 |
% 18.67/4.90 | Equations (306) can reduce 81 to:
% 18.67/4.90 | (7) ~ (e4 = e0)
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (85), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (326) all_0_0_0 = e0
% 18.67/4.90 |
% 18.67/4.90 | Combining equations (326,253) yields a new equation:
% 18.67/4.90 | (327) e4 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (327) can reduce 7 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (252) ~ (all_0_0_0 = e0)
% 18.67/4.90 | (330) all_0_1_1 = e0 | all_0_3_3 = e0
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (330), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (331) all_0_1_1 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (331) can reduce 320 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (320) ~ (all_0_1_1 = e0)
% 18.67/4.90 | (334) all_0_3_3 = e0
% 18.67/4.90 |
% 18.67/4.90 | Combining equations (277,334) yields a new equation:
% 18.67/4.90 | (352) e2 = e0
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 352 yields:
% 18.67/4.90 | (353) e2 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (353) can reduce 45 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (303) ~ (all_0_11_11 = e4)
% 18.67/4.90 | (644) all_0_19_19 = e4
% 18.67/4.90 |
% 18.67/4.90 | Equations (644) can reduce 602 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (299) ~ (all_0_8_8 = e4)
% 18.67/4.90 | (300) all_0_12_12 = e4 | all_0_20_20 = e4
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (300), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (301) all_0_12_12 = e4
% 18.67/4.90 |
% 18.67/4.90 | Combining equations (580,301) yields a new equation:
% 18.67/4.90 | (327) e4 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (327) can reduce 7 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (358) ~ (all_0_12_12 = e4)
% 18.67/4.90 | (341) all_0_20_20 = e4
% 18.67/4.90 |
% 18.67/4.90 | Equations (341) can reduce 264 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (654) ~ (all_0_17_17 = e0)
% 18.67/4.90 | (655) all_0_18_18 = e0 | all_0_20_20 = e0
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (655), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (420) all_0_18_18 = e0
% 18.67/4.90 |
% 18.67/4.90 | Combining equations (599,420) yields a new equation:
% 18.67/4.90 | (657) e4 = e0
% 18.67/4.90 |
% 18.67/4.90 | Simplifying 657 yields:
% 18.67/4.90 | (327) e4 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (327) can reduce 7 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (570) ~ (all_0_18_18 = e0)
% 18.67/4.90 | (345) all_0_20_20 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (345) can reduce 336 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (272) ~ (all_0_3_3 = e2)
% 18.67/4.90 | (664) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (664), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (292) all_0_3_3 = e4
% 18.67/4.90 |
% 18.67/4.90 | Equations (292) can reduce 259 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (259) ~ (all_0_3_3 = e4)
% 18.67/4.90 | (668) all_0_3_3 = e3 | all_0_3_3 = e0
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (668), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (334) all_0_3_3 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (334) can reduce 581 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (581) ~ (all_0_3_3 = e0)
% 18.67/4.90 | (672) all_0_3_3 = e3
% 18.67/4.90 |
% 18.67/4.90 | Equations (672) can reduce 386 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (674) ~ (all_0_18_18 = e4)
% 18.67/4.90 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 18.67/4.90 |
% 18.67/4.90 +-Applying beta-rule and splitting (675), into two cases.
% 18.67/4.90 |-Branch one:
% 18.67/4.90 | (420) all_0_18_18 = e0
% 18.67/4.90 |
% 18.67/4.90 | Equations (420) can reduce 570 to:
% 18.67/4.90 | (267) $false
% 18.67/4.90 |
% 18.67/4.90 |-The branch is then unsatisfiable
% 18.67/4.90 |-Branch two:
% 18.67/4.90 | (570) ~ (all_0_18_18 = e0)
% 18.67/4.90 | (679) all_0_18_18 = e3
% 18.67/4.90 |
% 18.67/4.90 | Equations (679) can reduce 468 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (408) ~ (all_0_6_6 = e0)
% 18.67/4.91 | (414) all_0_10_10 = e0 | all_0_18_18 = e0
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (213), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (363) all_0_18_18 = e2
% 18.67/4.91 |
% 18.67/4.91 | Equations (363) can reduce 232 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (232) ~ (all_0_18_18 = e2)
% 18.67/4.91 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (598), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (599) all_0_18_18 = e4
% 18.67/4.91 |
% 18.67/4.91 | Equations (599) can reduce 570 to:
% 18.67/4.91 | (7) ~ (e4 = e0)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (414), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (415) all_0_10_10 = e0
% 18.67/4.91 |
% 18.67/4.91 | Combining equations (415,222) yields a new equation:
% 18.67/4.91 | (353) e2 = e0
% 18.67/4.91 |
% 18.67/4.91 | Equations (353) can reduce 45 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (221) ~ (all_0_10_10 = e0)
% 18.67/4.91 | (420) all_0_18_18 = e0
% 18.67/4.91 |
% 18.67/4.91 | Combining equations (420,599) yields a new equation:
% 18.67/4.91 | (327) e4 = e0
% 18.67/4.91 |
% 18.67/4.91 | Equations (327) can reduce 7 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (674) ~ (all_0_18_18 = e4)
% 18.67/4.91 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (675), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (420) all_0_18_18 = e0
% 18.67/4.91 |
% 18.67/4.91 | Equations (420) can reduce 570 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (570) ~ (all_0_18_18 = e0)
% 18.67/4.91 | (679) all_0_18_18 = e3
% 18.67/4.91 |
% 18.67/4.91 | Equations (679) can reduce 468 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (609) all_0_16_16 = e0
% 18.67/4.91 | (341) all_0_20_20 = e4
% 18.67/4.91 |
% 18.67/4.91 | Equations (341) can reduce 264 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (420) all_0_18_18 = e0
% 18.67/4.91 | (337) all_0_20_20 = e2
% 18.67/4.91 |
% 18.67/4.91 | Equations (337) can reduce 251 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (514) ~ (all_0_14_14 = e4)
% 18.67/4.91 | (391) all_0_14_14 = e3
% 18.67/4.91 |
% 18.67/4.91 | Equations (391) can reduce 464 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (459) all_0_5_5 = e1
% 18.67/4.91 | (713) all_0_7_7 = e3
% 18.67/4.91 |
% 18.67/4.91 | Equations (713) can reduce 9 to:
% 18.67/4.91 | (496) ~ (all_0_2_2 = e3)
% 18.67/4.91 |
% 18.67/4.91 | Equations (459) can reduce 66 to:
% 18.67/4.91 | (715) ~ (all_0_8_8 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 715 yields:
% 18.67/4.91 | (195) ~ (all_0_8_8 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Equations (459) can reduce 2 to:
% 18.67/4.91 | (717) ~ (all_0_9_9 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 717 yields:
% 18.67/4.91 | (310) ~ (all_0_9_9 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Equations (459) can reduce 119 to:
% 18.67/4.91 | (719) ~ (all_0_17_17 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 719 yields:
% 18.67/4.91 | (720) ~ (all_0_17_17 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Equations (459) can reduce 53 to:
% 18.67/4.91 | (721) ~ (e4 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 721 yields:
% 18.67/4.91 | (217) ~ (e4 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Equations (713) can reduce 49 to:
% 18.67/4.91 | (723) ~ (all_0_8_8 = e3)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 723 yields:
% 18.67/4.91 | (724) ~ (all_0_8_8 = e3)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (128), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (270) all_0_2_2 = e2
% 18.67/4.91 |
% 18.67/4.91 | Equations (270) can reduce 208 to:
% 18.67/4.91 | (271) ~ (all_0_3_3 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 271 yields:
% 18.67/4.91 | (272) ~ (all_0_3_3 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Equations (270) can reduce 84 to:
% 18.67/4.91 | (273) ~ (all_0_19_19 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 273 yields:
% 18.67/4.91 | (274) ~ (all_0_19_19 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Equations (270) can reduce 257 to:
% 18.67/4.91 | (233) ~ (e4 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 233 yields:
% 18.67/4.91 | (205) ~ (e4 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Equations (270) can reduce 19 to:
% 18.67/4.91 | (45) ~ (e2 = e0)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (63), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (356) all_0_9_9 = e1
% 18.67/4.91 |
% 18.67/4.91 | Equations (356) can reduce 310 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (310) ~ (all_0_9_9 = e1)
% 18.67/4.91 | (309) all_0_11_11 = e1
% 18.67/4.91 |
% 18.67/4.91 | Equations (309) can reduce 197 to:
% 18.67/4.91 | (310) ~ (all_0_9_9 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Equations (309) can reduce 219 to:
% 18.67/4.91 | (738) ~ (all_0_19_19 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 738 yields:
% 18.67/4.91 | (739) ~ (all_0_19_19 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Equations (309) can reduce 81 to:
% 18.67/4.91 | (131) ~ (e1 = e0)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (25), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (741) all_0_16_16 = e1
% 18.67/4.91 |
% 18.67/4.91 | Equations (741) can reduce 204 to:
% 18.67/4.91 | (742) ~ (all_0_4_4 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Equations (741) can reduce 58 to:
% 18.67/4.91 | (743) ~ (e3 = e1)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 743 yields:
% 18.67/4.91 | (133) ~ (e3 = e1)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (116), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (277) all_0_3_3 = e2
% 18.67/4.91 |
% 18.67/4.91 | Equations (277) can reduce 272 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (272) ~ (all_0_3_3 = e2)
% 18.67/4.91 | (280) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (280), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (281) all_0_8_8 = e2
% 18.67/4.91 |
% 18.67/4.91 | Equations (281) can reduce 93 to:
% 18.67/4.91 | (240) ~ (all_0_4_4 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Equations (281) can reduce 108 to:
% 18.67/4.91 | (227) ~ (all_0_12_12 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 227 yields:
% 18.67/4.91 | (228) ~ (all_0_12_12 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Equations (281) can reduce 193 to:
% 18.67/4.91 | (282) ~ (all_0_20_20 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 282 yields:
% 18.67/4.91 | (251) ~ (all_0_20_20 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Equations (281) can reduce 724 to:
% 18.67/4.91 | (235) ~ (e3 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 235 yields:
% 18.67/4.91 | (191) ~ (e3 = e2)
% 18.67/4.91 |
% 18.67/4.91 | Equations (281) can reduce 195 to:
% 18.67/4.91 | (134) ~ (e2 = e1)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (100), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (284) all_0_16_16 = e2
% 18.67/4.91 |
% 18.67/4.91 | Combining equations (284,741) yields a new equation:
% 18.67/4.91 | (759) e2 = e1
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 759 yields:
% 18.67/4.91 | (760) e2 = e1
% 18.67/4.91 |
% 18.67/4.91 | Equations (760) can reduce 134 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (246) ~ (all_0_16_16 = e2)
% 18.67/4.91 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (94), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (292) all_0_3_3 = e4
% 18.67/4.91 |
% 18.67/4.91 | Equations (292) can reduce 259 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (259) ~ (all_0_3_3 = e4)
% 18.67/4.91 | (295) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (287), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (288) all_0_17_17 = e2
% 18.67/4.91 |
% 18.67/4.91 | Equations (288) can reduce 163 to:
% 18.67/4.91 | (224) ~ (all_0_9_9 = e2)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (198), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (326) all_0_0_0 = e0
% 18.67/4.91 |
% 18.67/4.91 | Combining equations (326,253) yields a new equation:
% 18.67/4.91 | (327) e4 = e0
% 18.67/4.91 |
% 18.67/4.91 | Equations (327) can reduce 7 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (252) ~ (all_0_0_0 = e0)
% 18.67/4.91 | (774) all_0_4_4 = e0 | all_0_16_16 = e0
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (78), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (325) ~ (all_0_20_20 = e3)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (295), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (296) all_0_8_8 = e4
% 18.67/4.91 |
% 18.67/4.91 | Combining equations (281,296) yields a new equation:
% 18.67/4.91 | (297) e4 = e2
% 18.67/4.91 |
% 18.67/4.91 | Equations (297) can reduce 205 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (299) ~ (all_0_8_8 = e4)
% 18.67/4.91 | (300) all_0_12_12 = e4 | all_0_20_20 = e4
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (300), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (301) all_0_12_12 = e4
% 18.67/4.91 |
% 18.67/4.91 | Equations (301) can reduce 22 to:
% 18.67/4.91 | (302) ~ (all_0_9_9 = e4)
% 18.67/4.91 |
% 18.67/4.91 | Equations (301) can reduce 194 to:
% 18.67/4.91 | (24) ~ (e4 = e3)
% 18.67/4.91 |
% 18.67/4.91 | Equations (301) can reduce 228 to:
% 18.67/4.91 | (205) ~ (e4 = e2)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (774), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (785) all_0_4_4 = e0
% 18.67/4.91 |
% 18.67/4.91 | Equations (785) can reduce 240 to:
% 18.67/4.91 | (323) ~ (e2 = e0)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 323 yields:
% 18.67/4.91 | (45) ~ (e2 = e0)
% 18.67/4.91 |
% 18.67/4.91 | Equations (785) can reduce 742 to:
% 18.67/4.91 | (788) ~ (e1 = e0)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 788 yields:
% 18.67/4.91 | (131) ~ (e1 = e0)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (50), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (790) all_0_1_1 = e4
% 18.67/4.91 |
% 18.67/4.91 | Equations (790) can reduce 255 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (255) ~ (all_0_1_1 = e4)
% 18.67/4.91 | (793) all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (86), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (319) all_0_9_9 = e0
% 18.67/4.91 |
% 18.67/4.91 | Equations (319) can reduce 302 to:
% 18.67/4.91 | (321) ~ (e4 = e0)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 321 yields:
% 18.67/4.91 | (7) ~ (e4 = e0)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (793), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (315) all_0_9_9 = e4
% 18.67/4.91 |
% 18.67/4.91 | Combining equations (319,315) yields a new equation:
% 18.67/4.91 | (327) e4 = e0
% 18.67/4.91 |
% 18.67/4.91 | Equations (327) can reduce 7 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (302) ~ (all_0_9_9 = e4)
% 18.67/4.91 | (801) all_0_14_14 = e4 | all_0_17_17 = e4
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (801), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (470) all_0_14_14 = e4
% 18.67/4.91 |
% 18.67/4.91 | Equations (470) can reduce 136 to:
% 18.67/4.91 | (255) ~ (all_0_1_1 = e4)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (102), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (804) all_0_1_1 = e3
% 18.67/4.91 |
% 18.67/4.91 | Equations (804) can reduce 215 to:
% 18.67/4.91 | (385) ~ (all_0_3_3 = e3)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 385 yields:
% 18.67/4.91 | (386) ~ (all_0_3_3 = e3)
% 18.67/4.91 |
% 18.67/4.91 | Equations (804) can reduce 255 to:
% 18.67/4.91 | (807) ~ (e4 = e3)
% 18.67/4.91 |
% 18.67/4.91 | Simplifying 807 yields:
% 18.67/4.91 | (24) ~ (e4 = e3)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (196), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (395) all_0_15_15 = e2
% 18.67/4.91 |
% 18.67/4.91 | Equations (395) can reduce 230 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (230) ~ (all_0_15_15 = e2)
% 18.67/4.91 | (398) all_0_15_15 = e4 | all_0_15_15 = e3
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (91), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (391) all_0_14_14 = e3
% 18.67/4.91 |
% 18.67/4.91 | Combining equations (391,470) yields a new equation:
% 18.67/4.91 | (452) e4 = e3
% 18.67/4.91 |
% 18.67/4.91 | Equations (452) can reduce 24 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (464) ~ (all_0_14_14 = e3)
% 18.67/4.91 | (462) all_0_15_15 = e3
% 18.67/4.91 |
% 18.67/4.91 | Equations (462) can reduce 230 to:
% 18.67/4.91 | (191) ~ (e3 = e2)
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (160), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (672) all_0_3_3 = e3
% 18.67/4.91 |
% 18.67/4.91 | Equations (672) can reduce 386 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (386) ~ (all_0_3_3 = e3)
% 18.67/4.91 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 18.67/4.91 |
% 18.67/4.91 +-Applying beta-rule and splitting (822), into two cases.
% 18.67/4.91 |-Branch one:
% 18.67/4.91 | (425) all_0_8_8 = e3
% 18.67/4.91 |
% 18.67/4.91 | Combining equations (281,425) yields a new equation:
% 18.67/4.91 | (483) e3 = e2
% 18.67/4.91 |
% 18.67/4.91 | Equations (483) can reduce 191 to:
% 18.67/4.91 | (267) $false
% 18.67/4.91 |
% 18.67/4.91 |-The branch is then unsatisfiable
% 18.67/4.91 |-Branch two:
% 18.67/4.91 | (724) ~ (all_0_8_8 = e3)
% 18.67/4.92 | (348) all_0_20_20 = e3
% 18.67/4.92 |
% 18.67/4.92 | Equations (348) can reduce 325 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (829) ~ (all_0_1_1 = e3)
% 18.67/4.92 | (830) all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (830), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (456) all_0_5_5 = e3
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (456,459) yields a new equation:
% 18.67/4.92 | (832) e3 = e1
% 18.67/4.92 |
% 18.67/4.92 | Simplifying 832 yields:
% 18.67/4.92 | (833) e3 = e1
% 18.67/4.92 |
% 18.67/4.92 | Equations (833) can reduce 133 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (392) ~ (all_0_5_5 = e3)
% 18.67/4.92 | (836) all_0_14_14 = e3 | all_0_17_17 = e3
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (836), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (391) all_0_14_14 = e3
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (470,391) yields a new equation:
% 18.67/4.92 | (620) e4 = e3
% 18.67/4.92 |
% 18.67/4.92 | Simplifying 620 yields:
% 18.67/4.92 | (452) e4 = e3
% 18.67/4.92 |
% 18.67/4.92 | Equations (452) can reduce 24 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (464) ~ (all_0_14_14 = e3)
% 18.67/4.92 | (842) all_0_17_17 = e3
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (288,842) yields a new equation:
% 18.67/4.92 | (483) e3 = e2
% 18.67/4.92 |
% 18.67/4.92 | Equations (483) can reduce 191 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (514) ~ (all_0_14_14 = e4)
% 18.67/4.92 | (846) all_0_17_17 = e4
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (846,288) yields a new equation:
% 18.67/4.92 | (847) e4 = e2
% 18.67/4.92 |
% 18.67/4.92 | Simplifying 847 yields:
% 18.67/4.92 | (297) e4 = e2
% 18.67/4.92 |
% 18.67/4.92 | Equations (297) can reduce 205 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (355) ~ (all_0_9_9 = e0)
% 18.67/4.92 | (574) all_0_10_10 = e0 | all_0_12_12 = e0
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (31), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (331) all_0_1_1 = e0
% 18.67/4.92 |
% 18.67/4.92 | Equations (331) can reduce 13 to:
% 18.67/4.92 | (853) ~ (all_0_9_9 = e0)
% 18.67/4.92 |
% 18.67/4.92 | Simplifying 853 yields:
% 18.67/4.92 | (355) ~ (all_0_9_9 = e0)
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (5), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (311) all_0_9_9 = e2
% 18.67/4.92 |
% 18.67/4.92 | Equations (311) can reduce 224 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (224) ~ (all_0_9_9 = e2)
% 18.67/4.92 | (314) all_0_9_9 = e4 | all_0_9_9 = e1 | all_0_9_9 = e0
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (314), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (315) all_0_9_9 = e4
% 18.67/4.92 |
% 18.67/4.92 | Equations (315) can reduce 302 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (302) ~ (all_0_9_9 = e4)
% 18.67/4.92 | (318) all_0_9_9 = e1 | all_0_9_9 = e0
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (318), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (319) all_0_9_9 = e0
% 18.67/4.92 |
% 18.67/4.92 | Equations (319) can reduce 355 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (355) ~ (all_0_9_9 = e0)
% 18.67/4.92 | (356) all_0_9_9 = e1
% 18.67/4.92 |
% 18.67/4.92 | Equations (356) can reduce 310 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (320) ~ (all_0_1_1 = e0)
% 18.67/4.92 | (869) all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (869), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (406) all_0_5_5 = e0
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (406,459) yields a new equation:
% 18.67/4.92 | (871) e1 = e0
% 18.67/4.92 |
% 18.67/4.92 | Equations (871) can reduce 131 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (422) ~ (all_0_5_5 = e0)
% 18.67/4.92 | (874) all_0_9_9 = e0 | all_0_17_17 = e0
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (874), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (319) all_0_9_9 = e0
% 18.67/4.92 |
% 18.67/4.92 | Equations (319) can reduce 355 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (355) ~ (all_0_9_9 = e0)
% 18.67/4.92 | (351) all_0_17_17 = e0
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (288,351) yields a new equation:
% 18.67/4.92 | (352) e2 = e0
% 18.67/4.92 |
% 18.67/4.92 | Simplifying 352 yields:
% 18.67/4.92 | (353) e2 = e0
% 18.67/4.92 |
% 18.67/4.92 | Equations (353) can reduce 45 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (882) ~ (all_0_4_4 = e0)
% 18.67/4.92 | (609) all_0_16_16 = e0
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (609,741) yields a new equation:
% 18.67/4.92 | (871) e1 = e0
% 18.67/4.92 |
% 18.67/4.92 | Equations (871) can reduce 131 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (358) ~ (all_0_12_12 = e4)
% 18.67/4.92 | (341) all_0_20_20 = e4
% 18.67/4.92 |
% 18.67/4.92 | Equations (341) can reduce 264 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (348) all_0_20_20 = e3
% 18.67/4.92 | (351) all_0_17_17 = e0
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (351,288) yields a new equation:
% 18.67/4.92 | (353) e2 = e0
% 18.67/4.92 |
% 18.67/4.92 | Equations (353) can reduce 45 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (361) ~ (all_0_17_17 = e2)
% 18.67/4.92 | (362) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (362), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (363) all_0_18_18 = e2
% 18.67/4.92 |
% 18.67/4.92 | Equations (363) can reduce 232 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (232) ~ (all_0_18_18 = e2)
% 18.67/4.92 | (366) all_0_19_19 = e2 | all_0_20_20 = e2
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (366), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (367) all_0_19_19 = e2
% 18.67/4.92 |
% 18.67/4.92 | Equations (367) can reduce 274 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (274) ~ (all_0_19_19 = e2)
% 18.67/4.92 | (337) all_0_20_20 = e2
% 18.67/4.92 |
% 18.67/4.92 | Equations (337) can reduce 251 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (372) ~ (all_0_8_8 = e2)
% 18.67/4.92 | (373) all_0_12_12 = e2 | all_0_20_20 = e2
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (373), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (374) all_0_12_12 = e2
% 18.67/4.92 |
% 18.67/4.92 | Equations (374) can reduce 228 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (228) ~ (all_0_12_12 = e2)
% 18.67/4.92 | (337) all_0_20_20 = e2
% 18.67/4.92 |
% 18.67/4.92 | Equations (337) can reduce 251 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (911) ~ (all_0_16_16 = e1)
% 18.67/4.92 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (912), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (913) all_0_17_17 = e1
% 18.67/4.92 |
% 18.67/4.92 | Equations (913) can reduce 720 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (720) ~ (all_0_17_17 = e1)
% 18.67/4.92 | (916) all_0_19_19 = e1
% 18.67/4.92 |
% 18.67/4.92 | Equations (916) can reduce 739 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (379) ~ (all_0_2_2 = e2)
% 18.67/4.92 | (380) all_0_2_2 = e4 | all_0_2_2 = e3
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (63), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (356) all_0_9_9 = e1
% 18.67/4.92 |
% 18.67/4.92 | Equations (356) can reduce 310 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (310) ~ (all_0_9_9 = e1)
% 18.67/4.92 | (309) all_0_11_11 = e1
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (211), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (381) all_0_2_2 = e4
% 18.67/4.92 |
% 18.67/4.92 | Equations (381) can reduce 257 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (257) ~ (all_0_2_2 = e4)
% 18.67/4.92 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (624), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (435) all_0_7_7 = e4
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (713,435) yields a new equation:
% 18.67/4.92 | (452) e4 = e3
% 18.67/4.92 |
% 18.67/4.92 | Equations (452) can reduce 24 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (450) ~ (all_0_7_7 = e4)
% 18.67/4.92 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (628), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (306) all_0_11_11 = e4
% 18.67/4.92 |
% 18.67/4.92 | Combining equations (309,306) yields a new equation:
% 18.67/4.92 | (934) e4 = e1
% 18.67/4.92 |
% 18.67/4.92 | Equations (934) can reduce 217 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (303) ~ (all_0_11_11 = e4)
% 18.67/4.92 | (644) all_0_19_19 = e4
% 18.67/4.92 |
% 18.67/4.92 | Equations (644) can reduce 84 to:
% 18.67/4.92 | (257) ~ (all_0_2_2 = e4)
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (380), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (381) all_0_2_2 = e4
% 18.67/4.92 |
% 18.67/4.92 | Equations (381) can reduce 257 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (257) ~ (all_0_2_2 = e4)
% 18.67/4.92 | (384) all_0_2_2 = e3
% 18.67/4.92 |
% 18.67/4.92 | Equations (384) can reduce 496 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (341) all_0_20_20 = e4
% 18.67/4.92 | (609) all_0_16_16 = e0
% 18.67/4.92 |
% 18.67/4.92 | Equations (609) can reduce 161 to:
% 18.67/4.92 | (593) ~ (all_0_18_18 = e0)
% 18.67/4.92 |
% 18.67/4.92 | Simplifying 593 yields:
% 18.67/4.92 | (570) ~ (all_0_18_18 = e0)
% 18.67/4.92 |
% 18.67/4.92 | Equations (609) can reduce 69 to:
% 18.67/4.92 | (948) ~ (all_0_19_19 = e0)
% 18.67/4.92 |
% 18.67/4.92 | Simplifying 948 yields:
% 18.67/4.92 | (44) ~ (all_0_19_19 = e0)
% 18.67/4.92 |
% 18.67/4.92 | Equations (341) can reduce 26 to:
% 18.67/4.92 | (510) ~ (all_0_17_17 = e4)
% 18.67/4.92 |
% 18.67/4.92 | Equations (341) can reduce 18 to:
% 18.67/4.92 | (674) ~ (all_0_18_18 = e4)
% 18.67/4.92 |
% 18.67/4.92 | Equations (341) can reduce 35 to:
% 18.67/4.92 | (602) ~ (all_0_19_19 = e4)
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (213), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (363) all_0_18_18 = e2
% 18.67/4.92 |
% 18.67/4.92 | Equations (363) can reduce 232 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (232) ~ (all_0_18_18 = e2)
% 18.67/4.92 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (598), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (599) all_0_18_18 = e4
% 18.67/4.92 |
% 18.67/4.92 | Equations (599) can reduce 674 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (674) ~ (all_0_18_18 = e4)
% 18.67/4.92 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 18.67/4.92 |
% 18.67/4.92 +-Applying beta-rule and splitting (675), into two cases.
% 18.67/4.92 |-Branch one:
% 18.67/4.92 | (420) all_0_18_18 = e0
% 18.67/4.92 |
% 18.67/4.92 | Equations (420) can reduce 570 to:
% 18.67/4.92 | (267) $false
% 18.67/4.92 |
% 18.67/4.92 |-The branch is then unsatisfiable
% 18.67/4.92 |-Branch two:
% 18.67/4.92 | (570) ~ (all_0_18_18 = e0)
% 18.67/4.92 | (679) all_0_18_18 = e3
% 18.67/4.92 |
% 18.67/4.92 | Equations (679) can reduce 155 to:
% 18.67/4.92 | (426) ~ (all_0_6_6 = e3)
% 18.67/4.92 |
% 18.67/4.92 | Equations (679) can reduce 59 to:
% 18.67/4.93 | (394) ~ (all_0_15_15 = e3)
% 18.67/4.93 |
% 18.67/4.93 | Equations (679) can reduce 154 to:
% 18.67/4.93 | (967) ~ (all_0_19_19 = e3)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 967 yields:
% 18.67/4.93 | (968) ~ (all_0_19_19 = e3)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (91), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (391) all_0_14_14 = e3
% 18.67/4.93 |
% 18.67/4.93 | Equations (391) can reduce 210 to:
% 18.67/4.93 | (124) ~ (all_0_9_9 = e3)
% 18.67/4.93 |
% 18.67/4.93 | Equations (391) can reduce 38 to:
% 18.67/4.93 | (393) ~ (all_0_15_15 = e3)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 393 yields:
% 18.67/4.93 | (394) ~ (all_0_15_15 = e3)
% 18.67/4.93 |
% 18.67/4.93 | Equations (391) can reduce 242 to:
% 18.67/4.93 | (191) ~ (e3 = e2)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (50), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (790) all_0_1_1 = e4
% 18.67/4.93 |
% 18.67/4.93 | Equations (790) can reduce 255 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (255) ~ (all_0_1_1 = e4)
% 18.67/4.93 | (793) all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (196), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (395) all_0_15_15 = e2
% 18.67/4.93 |
% 18.67/4.93 | Equations (395) can reduce 230 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (230) ~ (all_0_15_15 = e2)
% 18.67/4.93 | (398) all_0_15_15 = e4 | all_0_15_15 = e3
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (398), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (399) all_0_15_15 = e4
% 18.67/4.93 |
% 18.67/4.93 | Equations (399) can reduce 151 to:
% 18.67/4.93 | (400) ~ (all_0_6_6 = e4)
% 18.67/4.93 |
% 18.67/4.93 | Equations (399) can reduce 394 to:
% 18.67/4.93 | (24) ~ (e4 = e3)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (180), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (437) all_0_6_6 = e2
% 18.67/4.93 |
% 18.67/4.93 | Equations (437) can reduce 223 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (223) ~ (all_0_6_6 = e2)
% 18.67/4.93 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (440), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (431) all_0_6_6 = e4
% 18.67/4.93 |
% 18.67/4.93 | Equations (431) can reduce 400 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (400) ~ (all_0_6_6 = e4)
% 18.67/4.93 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (444), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (411) all_0_6_6 = e0
% 18.67/4.93 |
% 18.67/4.93 | Equations (411) can reduce 400 to:
% 18.67/4.93 | (321) ~ (e4 = e0)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 321 yields:
% 18.67/4.93 | (7) ~ (e4 = e0)
% 18.67/4.93 |
% 18.67/4.93 | Equations (411) can reduce 426 to:
% 18.67/4.93 | (996) ~ (e3 = e0)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 996 yields:
% 18.67/4.93 | (61) ~ (e3 = e0)
% 18.67/4.93 |
% 18.67/4.93 | Equations (411) can reduce 223 to:
% 18.67/4.93 | (323) ~ (e2 = e0)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 323 yields:
% 18.67/4.93 | (45) ~ (e2 = e0)
% 18.67/4.93 |
% 18.67/4.93 | Equations (411) can reduce 34 to:
% 18.67/4.93 | (788) ~ (e1 = e0)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 788 yields:
% 18.67/4.93 | (131) ~ (e1 = e0)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (76), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (1002) all_0_4_4 = e1
% 18.67/4.93 |
% 18.67/4.93 | Equations (1002) can reduce 39 to:
% 18.67/4.93 | (1003) ~ (all_0_5_5 = e1)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 1003 yields:
% 18.67/4.93 | (265) ~ (all_0_5_5 = e1)
% 18.67/4.93 |
% 18.67/4.93 | Equations (1002) can reduce 240 to:
% 18.67/4.93 | (1005) ~ (e2 = e1)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 1005 yields:
% 18.67/4.93 | (134) ~ (e2 = e1)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (793), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (315) all_0_9_9 = e4
% 18.67/4.93 |
% 18.67/4.93 | Equations (315) can reduce 197 to:
% 18.67/4.93 | (1008) ~ (all_0_11_11 = e4)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 1008 yields:
% 18.67/4.93 | (303) ~ (all_0_11_11 = e4)
% 18.67/4.93 |
% 18.67/4.93 | Equations (315) can reduce 124 to:
% 18.67/4.93 | (24) ~ (e4 = e3)
% 18.67/4.93 |
% 18.67/4.93 | Equations (315) can reduce 224 to:
% 18.67/4.93 | (205) ~ (e4 = e2)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (31), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (331) all_0_1_1 = e0
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (167), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (266) all_0_11_11 = e2
% 18.67/4.93 |
% 18.67/4.93 | Equations (266) can reduce 226 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (226) ~ (all_0_11_11 = e2)
% 18.67/4.93 | (269) all_0_11_11 = e4 | all_0_11_11 = e1
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (269), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (306) all_0_11_11 = e4
% 18.67/4.93 |
% 18.67/4.93 | Equations (306) can reduce 303 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (303) ~ (all_0_11_11 = e4)
% 18.67/4.93 | (309) all_0_11_11 = e1
% 18.67/4.93 |
% 18.67/4.93 | Equations (309) can reduce 219 to:
% 18.67/4.93 | (738) ~ (all_0_19_19 = e1)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 738 yields:
% 18.67/4.93 | (739) ~ (all_0_19_19 = e1)
% 18.67/4.93 |
% 18.67/4.93 | Equations (309) can reduce 303 to:
% 18.67/4.93 | (721) ~ (e4 = e1)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 721 yields:
% 18.67/4.93 | (217) ~ (e4 = e1)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (73), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (367) all_0_19_19 = e2
% 18.67/4.93 |
% 18.67/4.93 | Equations (367) can reduce 6 to:
% 18.67/4.93 | (361) ~ (all_0_17_17 = e2)
% 18.67/4.93 |
% 18.67/4.93 | Equations (367) can reduce 602 to:
% 18.67/4.93 | (233) ~ (e4 = e2)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 233 yields:
% 18.67/4.93 | (205) ~ (e4 = e2)
% 18.67/4.93 |
% 18.67/4.93 | Equations (367) can reduce 968 to:
% 18.67/4.93 | (235) ~ (e3 = e2)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 235 yields:
% 18.67/4.93 | (191) ~ (e3 = e2)
% 18.67/4.93 |
% 18.67/4.93 | Equations (367) can reduce 44 to:
% 18.67/4.93 | (45) ~ (e2 = e0)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (126), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (459) all_0_5_5 = e1
% 18.67/4.93 |
% 18.67/4.93 | Equations (459) can reduce 265 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (265) ~ (all_0_5_5 = e1)
% 18.67/4.93 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (1035), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (356) all_0_9_9 = e1
% 18.67/4.93 |
% 18.67/4.93 | Combining equations (356,315) yields a new equation:
% 18.67/4.93 | (934) e4 = e1
% 18.67/4.93 |
% 18.67/4.93 | Equations (934) can reduce 217 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (310) ~ (all_0_9_9 = e1)
% 18.67/4.93 | (913) all_0_17_17 = e1
% 18.67/4.93 |
% 18.67/4.93 | Equations (913) can reduce 361 to:
% 18.67/4.93 | (1005) ~ (e2 = e1)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 1005 yields:
% 18.67/4.93 | (134) ~ (e2 = e1)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (152), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (540) all_0_1_1 = e2
% 18.67/4.93 |
% 18.67/4.93 | Combining equations (540,331) yields a new equation:
% 18.67/4.93 | (352) e2 = e0
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 352 yields:
% 18.67/4.93 | (353) e2 = e0
% 18.67/4.93 |
% 18.67/4.93 | Equations (353) can reduce 45 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (520) ~ (all_0_1_1 = e2)
% 18.67/4.93 | (1048) all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (1048), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (402) all_0_5_5 = e2
% 18.67/4.93 |
% 18.67/4.93 | Equations (402) can reduce 238 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (238) ~ (all_0_5_5 = e2)
% 18.67/4.93 | (1052) all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (1052), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (311) all_0_9_9 = e2
% 18.67/4.93 |
% 18.67/4.93 | Combining equations (315,311) yields a new equation:
% 18.67/4.93 | (847) e4 = e2
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 847 yields:
% 18.67/4.93 | (297) e4 = e2
% 18.67/4.93 |
% 18.67/4.93 | Equations (297) can reduce 205 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (224) ~ (all_0_9_9 = e2)
% 18.67/4.93 | (1058) all_0_14_14 = e2 | all_0_17_17 = e2
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (218), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (1059) all_0_4_4 = e2
% 18.67/4.93 |
% 18.67/4.93 | Combining equations (1002,1059) yields a new equation:
% 18.67/4.93 | (760) e2 = e1
% 18.67/4.93 |
% 18.67/4.93 | Equations (760) can reduce 134 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (240) ~ (all_0_4_4 = e2)
% 18.67/4.93 | (1063) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 18.67/4.93 |
% 18.67/4.93 | Equations (1002) can reduce 240 to:
% 18.67/4.93 | (1005) ~ (e2 = e1)
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 1005 yields:
% 18.67/4.93 | (134) ~ (e2 = e1)
% 18.67/4.93 |
% 18.67/4.93 +-Applying beta-rule and splitting (1058), into two cases.
% 18.67/4.93 |-Branch one:
% 18.67/4.93 | (387) all_0_14_14 = e2
% 18.67/4.93 |
% 18.67/4.93 | Combining equations (391,387) yields a new equation:
% 18.67/4.93 | (545) e3 = e2
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 545 yields:
% 18.67/4.93 | (483) e3 = e2
% 18.67/4.93 |
% 18.67/4.93 | Equations (483) can reduce 191 to:
% 18.67/4.93 | (267) $false
% 18.67/4.93 |
% 18.67/4.93 |-The branch is then unsatisfiable
% 18.67/4.93 |-Branch two:
% 18.67/4.93 | (242) ~ (all_0_14_14 = e2)
% 18.67/4.93 | (288) all_0_17_17 = e2
% 18.67/4.93 |
% 18.67/4.93 | Combining equations (288,913) yields a new equation:
% 18.67/4.93 | (759) e2 = e1
% 18.67/4.93 |
% 18.67/4.93 | Simplifying 759 yields:
% 18.67/4.93 | (760) e2 = e1
% 18.95/4.93 |
% 18.95/4.93 | Equations (760) can reduce 134 to:
% 18.95/4.93 | (267) $false
% 18.95/4.93 |
% 18.95/4.93 |-The branch is then unsatisfiable
% 18.95/4.93 |-Branch two:
% 18.95/4.93 | (274) ~ (all_0_19_19 = e2)
% 18.95/4.93 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 18.95/4.93 |
% 18.95/4.93 +-Applying beta-rule and splitting (1076), into two cases.
% 18.95/4.93 |-Branch one:
% 18.95/4.93 | (644) all_0_19_19 = e4
% 18.95/4.93 |
% 18.95/4.93 | Equations (644) can reduce 602 to:
% 18.95/4.93 | (267) $false
% 18.95/4.93 |
% 18.95/4.93 |-The branch is then unsatisfiable
% 18.95/4.93 |-Branch two:
% 18.95/4.93 | (602) ~ (all_0_19_19 = e4)
% 18.95/4.93 | (1080) all_0_19_19 = e3 | all_0_19_19 = e1
% 18.95/4.93 |
% 18.95/4.93 +-Applying beta-rule and splitting (1080), into two cases.
% 18.95/4.93 |-Branch one:
% 18.95/4.93 | (1081) all_0_19_19 = e3
% 18.95/4.93 |
% 18.95/4.93 | Equations (1081) can reduce 968 to:
% 18.95/4.93 | (267) $false
% 18.95/4.93 |
% 18.95/4.93 |-The branch is then unsatisfiable
% 18.95/4.93 |-Branch two:
% 18.95/4.93 | (968) ~ (all_0_19_19 = e3)
% 18.95/4.93 | (916) all_0_19_19 = e1
% 18.95/4.93 |
% 18.95/4.93 | Equations (916) can reduce 739 to:
% 18.95/4.93 | (267) $false
% 18.95/4.93 |
% 18.95/4.93 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (320) ~ (all_0_1_1 = e0)
% 18.95/4.94 | (869) all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (85), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (326) all_0_0_0 = e0
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (326,253) yields a new equation:
% 18.95/4.94 | (327) e4 = e0
% 18.95/4.94 |
% 18.95/4.94 | Equations (327) can reduce 7 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (252) ~ (all_0_0_0 = e0)
% 18.95/4.94 | (330) all_0_1_1 = e0 | all_0_3_3 = e0
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (330), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (331) all_0_1_1 = e0
% 18.95/4.94 |
% 18.95/4.94 | Equations (331) can reduce 320 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (320) ~ (all_0_1_1 = e0)
% 18.95/4.94 | (334) all_0_3_3 = e0
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (211), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (381) all_0_2_2 = e4
% 18.95/4.94 |
% 18.95/4.94 | Equations (381) can reduce 257 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (257) ~ (all_0_2_2 = e4)
% 18.95/4.94 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (160), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (672) all_0_3_3 = e3
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (672,334) yields a new equation:
% 18.95/4.94 | (1102) e3 = e0
% 18.95/4.94 |
% 18.95/4.94 | Simplifying 1102 yields:
% 18.95/4.94 | (1103) e3 = e0
% 18.95/4.94 |
% 18.95/4.94 | Equations (1103) can reduce 61 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (386) ~ (all_0_3_3 = e3)
% 18.95/4.94 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (624), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (435) all_0_7_7 = e4
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (218), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (1059) all_0_4_4 = e2
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (1059,1002) yields a new equation:
% 18.95/4.94 | (759) e2 = e1
% 18.95/4.94 |
% 18.95/4.94 | Simplifying 759 yields:
% 18.95/4.94 | (760) e2 = e1
% 18.95/4.94 |
% 18.95/4.94 | Equations (760) can reduce 134 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (240) ~ (all_0_4_4 = e2)
% 18.95/4.94 | (1063) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (822), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (425) all_0_8_8 = e3
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (1063), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (402) all_0_5_5 = e2
% 18.95/4.94 |
% 18.95/4.94 | Equations (402) can reduce 238 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (238) ~ (all_0_5_5 = e2)
% 18.95/4.94 | (1118) all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (1118), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (437) all_0_6_6 = e2
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (437,411) yields a new equation:
% 18.95/4.94 | (352) e2 = e0
% 18.95/4.94 |
% 18.95/4.94 | Simplifying 352 yields:
% 18.95/4.94 | (353) e2 = e0
% 18.95/4.94 |
% 18.95/4.94 | Equations (353) can reduce 45 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (223) ~ (all_0_6_6 = e2)
% 18.95/4.94 | (1124) all_0_7_7 = e2 | all_0_8_8 = e2
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (1124), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (1125) all_0_7_7 = e2
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (435,1125) yields a new equation:
% 18.95/4.94 | (847) e4 = e2
% 18.95/4.94 |
% 18.95/4.94 | Simplifying 847 yields:
% 18.95/4.94 | (297) e4 = e2
% 18.95/4.94 |
% 18.95/4.94 | Equations (297) can reduce 205 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (537) ~ (all_0_7_7 = e2)
% 18.95/4.94 | (281) all_0_8_8 = e2
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (425,281) yields a new equation:
% 18.95/4.94 | (545) e3 = e2
% 18.95/4.94 |
% 18.95/4.94 | Simplifying 545 yields:
% 18.95/4.94 | (483) e3 = e2
% 18.95/4.94 |
% 18.95/4.94 | Equations (483) can reduce 191 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (724) ~ (all_0_8_8 = e3)
% 18.95/4.94 | (348) all_0_20_20 = e3
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (341,348) yields a new equation:
% 18.95/4.94 | (620) e4 = e3
% 18.95/4.94 |
% 18.95/4.94 | Simplifying 620 yields:
% 18.95/4.94 | (452) e4 = e3
% 18.95/4.94 |
% 18.95/4.94 | Equations (452) can reduce 24 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (450) ~ (all_0_7_7 = e4)
% 18.95/4.94 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (628), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (306) all_0_11_11 = e4
% 18.95/4.94 |
% 18.95/4.94 | Equations (306) can reduce 303 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (303) ~ (all_0_11_11 = e4)
% 18.95/4.94 | (644) all_0_19_19 = e4
% 18.95/4.94 |
% 18.95/4.94 | Equations (644) can reduce 602 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (302) ~ (all_0_9_9 = e4)
% 18.95/4.94 | (801) all_0_14_14 = e4 | all_0_17_17 = e4
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (801), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (470) all_0_14_14 = e4
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (391,470) yields a new equation:
% 18.95/4.94 | (452) e4 = e3
% 18.95/4.94 |
% 18.95/4.94 | Equations (452) can reduce 24 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (514) ~ (all_0_14_14 = e4)
% 18.95/4.94 | (846) all_0_17_17 = e4
% 18.95/4.94 |
% 18.95/4.94 | Equations (846) can reduce 510 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (742) ~ (all_0_4_4 = e1)
% 18.95/4.94 | (741) all_0_16_16 = e1
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (741,609) yields a new equation:
% 18.95/4.94 | (1156) e1 = e0
% 18.95/4.94 |
% 18.95/4.94 | Simplifying 1156 yields:
% 18.95/4.94 | (871) e1 = e0
% 18.95/4.94 |
% 18.95/4.94 | Equations (871) can reduce 131 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (408) ~ (all_0_6_6 = e0)
% 18.95/4.94 | (448) all_0_6_6 = e3
% 18.95/4.94 |
% 18.95/4.94 | Equations (448) can reduce 426 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (461) ~ (all_0_15_15 = e4)
% 18.95/4.94 | (462) all_0_15_15 = e3
% 18.95/4.94 |
% 18.95/4.94 | Equations (462) can reduce 394 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (464) ~ (all_0_14_14 = e3)
% 18.95/4.94 | (462) all_0_15_15 = e3
% 18.95/4.94 |
% 18.95/4.94 | Equations (462) can reduce 394 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (1168) ~ (all_0_0_0 = e4)
% 18.95/4.94 | (326) all_0_0_0 = e0
% 18.95/4.94 |
% 18.95/4.94 | Equations (326) can reduce 252 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (326) all_0_0_0 = e0
% 18.95/4.94 | (292) all_0_3_3 = e4
% 18.95/4.94 |
% 18.95/4.94 | Equations (292) can reduce 208 to:
% 18.95/4.94 | (257) ~ (all_0_2_2 = e4)
% 18.95/4.94 |
% 18.95/4.94 | Equations (292) can reduce 187 to:
% 18.95/4.94 | (1174) ~ (all_0_12_12 = e4)
% 18.95/4.94 |
% 18.95/4.94 | Simplifying 1174 yields:
% 18.95/4.94 | (358) ~ (all_0_12_12 = e4)
% 18.95/4.94 |
% 18.95/4.94 | From (292) and (46) follows:
% 18.95/4.94 | (1176) op(e4, e0) = e4
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (206), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (374) all_0_12_12 = e2
% 18.95/4.94 |
% 18.95/4.94 | Equations (374) can reduce 228 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (228) ~ (all_0_12_12 = e2)
% 18.95/4.94 | (1180) all_0_12_12 = e4 | all_0_12_12 = e0
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (1180), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (301) all_0_12_12 = e4
% 18.95/4.94 |
% 18.95/4.94 | Equations (301) can reduce 358 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (358) ~ (all_0_12_12 = e4)
% 18.95/4.94 | (580) all_0_12_12 = e0
% 18.95/4.94 |
% 18.95/4.94 | Equations (580) can reduce 108 to:
% 18.95/4.94 | (1185) ~ (all_0_8_8 = e0)
% 18.95/4.94 |
% 18.95/4.94 | Equations (580) can reduce 105 to:
% 18.95/4.94 | (81) ~ (all_0_11_11 = e0)
% 18.95/4.94 |
% 18.95/4.94 | Equations (580) can reduce 228 to:
% 18.95/4.94 | (323) ~ (e2 = e0)
% 18.95/4.94 |
% 18.95/4.94 | Simplifying 323 yields:
% 18.95/4.94 | (45) ~ (e2 = e0)
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (116), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (277) all_0_3_3 = e2
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (277,292) yields a new equation:
% 18.95/4.94 | (297) e4 = e2
% 18.95/4.94 |
% 18.95/4.94 | Equations (297) can reduce 205 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (272) ~ (all_0_3_3 = e2)
% 18.95/4.94 | (280) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (280), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (281) all_0_8_8 = e2
% 18.95/4.94 |
% 18.95/4.94 | Equations (281) can reduce 93 to:
% 18.95/4.94 | (240) ~ (all_0_4_4 = e2)
% 18.95/4.94 |
% 18.95/4.94 | Equations (281) can reduce 66 to:
% 18.95/4.94 | (238) ~ (all_0_5_5 = e2)
% 18.95/4.94 |
% 18.95/4.94 | Equations (281) can reduce 138 to:
% 18.95/4.94 | (223) ~ (all_0_6_6 = e2)
% 18.95/4.94 |
% 18.95/4.94 | Equations (281) can reduce 49 to:
% 18.95/4.94 | (537) ~ (all_0_7_7 = e2)
% 18.95/4.94 |
% 18.95/4.94 | Equations (281) can reduce 1185 to:
% 18.95/4.94 | (45) ~ (e2 = e0)
% 18.95/4.94 |
% 18.95/4.94 | From (281) and (140) follows:
% 18.95/4.94 | (1200) op(e3, e0) = e2
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (160), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (672) all_0_3_3 = e3
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (672,292) yields a new equation:
% 18.95/4.94 | (452) e4 = e3
% 18.95/4.94 |
% 18.95/4.94 | Equations (452) can reduce 24 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (386) ~ (all_0_3_3 = e3)
% 18.95/4.94 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (822), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (425) all_0_8_8 = e3
% 18.95/4.94 |
% 18.95/4.94 | Combining equations (281,425) yields a new equation:
% 18.95/4.94 | (483) e3 = e2
% 18.95/4.94 |
% 18.95/4.94 | Equations (483) can reduce 191 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (724) ~ (all_0_8_8 = e3)
% 18.95/4.94 | (348) all_0_20_20 = e3
% 18.95/4.94 |
% 18.95/4.94 | Equations (348) can reduce 115 to:
% 18.95/4.94 | (58) ~ (all_0_16_16 = e3)
% 18.95/4.94 |
% 18.95/4.94 +-Applying beta-rule and splitting (78), into two cases.
% 18.95/4.94 |-Branch one:
% 18.95/4.94 | (325) ~ (all_0_20_20 = e3)
% 18.95/4.94 |
% 18.95/4.94 | Equations (348) can reduce 325 to:
% 18.95/4.94 | (267) $false
% 18.95/4.94 |
% 18.95/4.94 |-The branch is then unsatisfiable
% 18.95/4.94 |-Branch two:
% 18.95/4.94 | (348) all_0_20_20 = e3
% 18.95/4.94 | (351) all_0_17_17 = e0
% 18.95/4.94 |
% 18.95/4.94 | Equations (351) can reduce 104 to:
% 18.95/4.94 | (186) ~ (all_0_14_14 = e0)
% 18.95/4.95 |
% 18.95/4.95 | Equations (351) can reduce 137 to:
% 18.95/4.95 | (593) ~ (all_0_18_18 = e0)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 593 yields:
% 18.95/4.95 | (570) ~ (all_0_18_18 = e0)
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (100), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (284) all_0_16_16 = e2
% 18.95/4.95 |
% 18.95/4.95 | Equations (284) can reduce 246 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (246) ~ (all_0_16_16 = e2)
% 18.95/4.95 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (40), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (411) all_0_6_6 = e0
% 18.95/4.95 |
% 18.95/4.95 | Equations (411) can reduce 99 to:
% 18.95/4.95 | (882) ~ (all_0_4_4 = e0)
% 18.95/4.95 |
% 18.95/4.95 | Equations (411) can reduce 3 to:
% 18.95/4.95 | (422) ~ (all_0_5_5 = e0)
% 18.95/4.95 |
% 18.95/4.95 | Equations (411) can reduce 155 to:
% 18.95/4.95 | (593) ~ (all_0_18_18 = e0)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 593 yields:
% 18.95/4.95 | (570) ~ (all_0_18_18 = e0)
% 18.95/4.95 |
% 18.95/4.95 | Equations (411) can reduce 223 to:
% 18.95/4.95 | (323) ~ (e2 = e0)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 323 yields:
% 18.95/4.95 | (45) ~ (e2 = e0)
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (287), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (288) all_0_17_17 = e2
% 18.95/4.95 |
% 18.95/4.95 | Combining equations (351,288) yields a new equation:
% 18.95/4.95 | (353) e2 = e0
% 18.95/4.95 |
% 18.95/4.95 | Equations (353) can reduce 45 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (361) ~ (all_0_17_17 = e2)
% 18.95/4.95 | (362) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 18.95/4.95 |
% 18.95/4.95 | Equations (351) can reduce 361 to:
% 18.95/4.95 | (323) ~ (e2 = e0)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 323 yields:
% 18.95/4.95 | (45) ~ (e2 = e0)
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (152), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (540) all_0_1_1 = e2
% 18.95/4.95 |
% 18.95/4.95 | Equations (540) can reduce 190 to:
% 18.95/4.95 | (1238) ~ (all_0_2_2 = e2)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 1238 yields:
% 18.95/4.95 | (379) ~ (all_0_2_2 = e2)
% 18.95/4.95 |
% 18.95/4.95 | Equations (540) can reduce 118 to:
% 18.95/4.95 | (1240) ~ (all_0_5_5 = e2)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 1240 yields:
% 18.95/4.95 | (238) ~ (all_0_5_5 = e2)
% 18.95/4.95 |
% 18.95/4.95 | Equations (540) can reduce 136 to:
% 18.95/4.95 | (241) ~ (all_0_14_14 = e2)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 241 yields:
% 18.95/4.95 | (242) ~ (all_0_14_14 = e2)
% 18.95/4.95 |
% 18.95/4.95 | From (540) and (139) follows:
% 18.95/4.95 | (1244) op(e4, e3) = e2
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (101), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (270) all_0_2_2 = e2
% 18.95/4.95 |
% 18.95/4.95 | Equations (270) can reduce 379 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (379) ~ (all_0_2_2 = e2)
% 18.95/4.95 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (549), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (1125) all_0_7_7 = e2
% 18.95/4.95 |
% 18.95/4.95 | Equations (1125) can reduce 537 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (537) ~ (all_0_7_7 = e2)
% 18.95/4.95 | (1252) all_0_11_11 = e2 | all_0_19_19 = e2
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (1252), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (266) all_0_11_11 = e2
% 18.95/4.95 |
% 18.95/4.95 | Equations (266) can reduce 226 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (226) ~ (all_0_11_11 = e2)
% 18.95/4.95 | (367) all_0_19_19 = e2
% 18.95/4.95 |
% 18.95/4.95 | Equations (367) can reduce 84 to:
% 18.95/4.95 | (379) ~ (all_0_2_2 = e2)
% 18.95/4.95 |
% 18.95/4.95 | Equations (367) can reduce 219 to:
% 18.95/4.95 | (226) ~ (all_0_11_11 = e2)
% 18.95/4.95 |
% 18.95/4.95 | From (367) and (209) follows:
% 18.95/4.95 | (1259) op(e0, e1) = e2
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (128), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (270) all_0_2_2 = e2
% 18.95/4.95 |
% 18.95/4.95 | Equations (270) can reduce 379 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (379) ~ (all_0_2_2 = e2)
% 18.95/4.95 | (380) all_0_2_2 = e4 | all_0_2_2 = e3
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (380), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (381) all_0_2_2 = e4
% 18.95/4.95 |
% 18.95/4.95 | Equations (381) can reduce 257 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (257) ~ (all_0_2_2 = e4)
% 18.95/4.95 | (384) all_0_2_2 = e3
% 18.95/4.95 |
% 18.95/4.95 | Equations (384) can reduce 9 to:
% 18.95/4.95 | (1268) ~ (all_0_7_7 = e3)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 1268 yields:
% 18.95/4.95 | (1269) ~ (all_0_7_7 = e3)
% 18.95/4.95 |
% 18.95/4.95 | From (384) and (189) follows:
% 18.95/4.95 | (1270) op(e4, e1) = e3
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (192), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (456) all_0_5_5 = e3
% 18.95/4.95 |
% 18.95/4.95 | Equations (456) can reduce 88 to:
% 18.95/4.95 | (1272) ~ (all_0_14_14 = e3)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 1272 yields:
% 18.95/4.95 | (464) ~ (all_0_14_14 = e3)
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (188), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (387) all_0_14_14 = e2
% 18.95/4.95 |
% 18.95/4.95 | Equations (387) can reduce 242 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (242) ~ (all_0_14_14 = e2)
% 18.95/4.95 | (390) all_0_14_14 = e4 | all_0_14_14 = e3
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (91), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (391) all_0_14_14 = e3
% 18.95/4.95 |
% 18.95/4.95 | Equations (391) can reduce 464 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (464) ~ (all_0_14_14 = e3)
% 18.95/4.95 | (462) all_0_15_15 = e3
% 18.95/4.95 |
% 18.95/4.95 | Equations (462) can reduce 38 to:
% 18.95/4.95 | (464) ~ (all_0_14_14 = e3)
% 18.95/4.95 |
% 18.95/4.95 | Equations (462) can reduce 230 to:
% 18.95/4.95 | (191) ~ (e3 = e2)
% 18.95/4.95 |
% 18.95/4.95 | From (462) and (83) follows:
% 18.95/4.95 | (1284) op(e1, e2) = e3
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (25), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (741) all_0_16_16 = e1
% 18.95/4.95 |
% 18.95/4.95 | Equations (741) can reduce 204 to:
% 18.95/4.95 | (742) ~ (all_0_4_4 = e1)
% 18.95/4.95 |
% 18.95/4.95 | Equations (741) can reduce 58 to:
% 18.95/4.95 | (743) ~ (e3 = e1)
% 18.95/4.95 |
% 18.95/4.95 | Simplifying 743 yields:
% 18.95/4.95 | (133) ~ (e3 = e1)
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (175), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (1002) all_0_4_4 = e1
% 18.95/4.95 |
% 18.95/4.95 | Equations (1002) can reduce 742 to:
% 18.95/4.95 | (267) $false
% 18.95/4.95 |
% 18.95/4.95 |-The branch is then unsatisfiable
% 18.95/4.95 |-Branch two:
% 18.95/4.95 | (742) ~ (all_0_4_4 = e1)
% 18.95/4.95 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (390), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (470) all_0_14_14 = e4
% 18.95/4.95 |
% 18.95/4.95 | Equations (470) can reduce 210 to:
% 18.95/4.95 | (302) ~ (all_0_9_9 = e4)
% 18.95/4.95 |
% 18.95/4.95 | Equations (470) can reduce 464 to:
% 18.95/4.95 | (24) ~ (e4 = e3)
% 18.95/4.95 |
% 18.95/4.95 | Equations (470) can reduce 186 to:
% 18.95/4.95 | (7) ~ (e4 = e0)
% 18.95/4.95 |
% 18.95/4.95 | From (470) and (117) follows:
% 18.95/4.95 | (1297) op(e1, e3) = e4
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (75), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (472), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (473), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 18.95/4.95 |
% 18.95/4.95 +-Applying beta-rule and splitting (474), into two cases.
% 18.95/4.95 |-Branch one:
% 18.95/4.95 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 18.95/4.95 |
% 18.95/4.95 | Applying alpha-rule on (475) yields:
% 18.95/4.95 | (270) all_0_2_2 = e2
% 18.95/4.95 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 18.95/4.96 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 18.95/4.96 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 18.95/4.96 | (310) ~ (all_0_9_9 = e1)
% 18.95/4.96 | (481) ~ (unit = e1)
% 18.95/4.96 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 18.95/4.96 |
% 18.95/4.96 | Combining equations (384,270) yields a new equation:
% 18.95/4.96 | (545) e3 = e2
% 18.95/4.96 |
% 18.95/4.96 | Simplifying 545 yields:
% 18.95/4.96 | (483) e3 = e2
% 18.95/4.96 |
% 18.95/4.96 | Equations (483) can reduce 191 to:
% 18.95/4.96 | (267) $false
% 18.95/4.96 |
% 18.95/4.96 |-The branch is then unsatisfiable
% 18.95/4.96 |-Branch two:
% 18.95/4.96 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 18.95/4.96 |
% 18.95/4.96 | Applying alpha-rule on (485) yields:
% 18.95/4.96 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 18.95/4.96 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 18.95/4.96 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 18.95/4.96 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 18.95/4.96 | (315) all_0_9_9 = e4
% 18.95/4.96 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 18.95/4.96 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 18.95/4.96 | (493) ~ (unit = e3)
% 18.95/4.96 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 18.95/4.96 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 18.95/4.96 | (496) ~ (all_0_2_2 = e3)
% 18.95/4.96 |
% 18.95/4.96 | Equations (315) can reduce 302 to:
% 18.95/4.96 | (267) $false
% 18.95/4.96 |
% 18.95/4.96 |-The branch is then unsatisfiable
% 18.95/4.96 |-Branch two:
% 18.95/4.96 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 18.95/4.96 |
% 18.95/4.96 | Applying alpha-rule on (498) yields:
% 18.95/4.96 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 18.95/4.96 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 18.95/4.96 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 18.95/4.96 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 18.95/4.96 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 18.95/4.96 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 18.95/4.96 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 18.95/4.96 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 18.95/4.96 | (358) ~ (all_0_12_12 = e4)
% 18.95/4.96 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 18.95/4.96 | (255) ~ (all_0_1_1 = e4)
% 18.95/4.96 | (510) ~ (all_0_17_17 = e4)
% 18.95/4.96 | (257) ~ (all_0_2_2 = e4)
% 18.95/4.96 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 18.95/4.96 | (303) ~ (all_0_11_11 = e4)
% 18.95/4.96 | (514) ~ (all_0_14_14 = e4)
% 18.95/4.96 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 18.95/4.96 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 18.95/4.96 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 18.95/4.96 |
% 18.95/4.96 | Equations (470) can reduce 514 to:
% 18.95/4.96 | (267) $false
% 18.95/4.96 |
% 18.95/4.96 |-The branch is then unsatisfiable
% 18.95/4.96 |-Branch two:
% 18.95/4.96 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 18.95/4.96 |
% 18.95/4.96 | Applying alpha-rule on (519) yields:
% 18.95/4.96 | (520) ~ (all_0_1_1 = e2)
% 18.95/4.96 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 18.95/4.96 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 18.95/4.96 | (226) ~ (all_0_11_11 = e2)
% 18.95/4.96 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 18.95/4.96 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 18.95/4.96 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 18.95/4.96 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 18.95/4.96 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 18.95/4.96 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 18.95/4.96 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 18.95/4.96 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 18.95/4.96 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 18.95/4.96 | (272) ~ (all_0_3_3 = e2)
% 18.95/4.96 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 18.95/4.96 | (274) ~ (all_0_19_19 = e2)
% 18.95/4.96 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 18.95/4.96 | (537) ~ (all_0_7_7 = e2)
% 18.95/4.96 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 18.95/4.96 | (224) ~ (all_0_9_9 = e2)
% 18.95/4.96 |
% 18.95/4.96 | Equations (367) can reduce 274 to:
% 18.95/4.96 | (267) $false
% 18.95/4.96 |
% 18.95/4.96 |-The branch is then unsatisfiable
% 18.95/4.96 |-Branch two:
% 18.95/4.96 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 18.95/4.96 |
% 18.95/4.96 | Applying alpha-rule on (558) yields:
% 18.95/4.96 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 18.95/4.96 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 18.95/4.96 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 18.95/4.96 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 18.95/4.96 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 18.95/4.96 | (564) ~ (unit = e0)
% 18.95/4.96 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 18.95/4.96 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 18.95/4.96 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 18.95/4.96 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 18.95/4.96 | (355) ~ (all_0_9_9 = e0)
% 18.95/4.96 |
% 18.95/4.96 +-Applying beta-rule and splitting (1292), into two cases.
% 18.95/4.96 |-Branch one:
% 18.95/4.96 | (459) all_0_5_5 = e1
% 18.95/4.96 |
% 18.95/4.96 | Combining equations (456,459) yields a new equation:
% 18.95/4.96 | (832) e3 = e1
% 18.95/4.96 |
% 18.95/4.96 | Simplifying 832 yields:
% 18.95/4.96 | (833) e3 = e1
% 18.95/4.96 |
% 18.95/4.96 | Equations (833) can reduce 133 to:
% 18.95/4.96 | (267) $false
% 18.95/4.96 |
% 18.95/4.96 |-The branch is then unsatisfiable
% 18.95/4.96 |-Branch two:
% 18.95/4.96 | (265) ~ (all_0_5_5 = e1)
% 19.09/4.96 | (1385) all_0_7_7 = e1
% 19.09/4.96 |
% 19.09/4.96 | Equations (1385) can reduce 171 to:
% 19.09/4.96 | (1386) ~ (all_0_11_11 = e1)
% 19.09/4.96 |
% 19.09/4.96 | Simplifying 1386 yields:
% 19.09/4.96 | (1387) ~ (all_0_11_11 = e1)
% 19.09/4.96 |
% 19.09/4.96 | From (1385) and (144) follows:
% 19.09/4.96 | (1388) op(e3, e1) = e1
% 19.09/4.96 |
% 19.09/4.96 +-Applying beta-rule and splitting (167), into two cases.
% 19.09/4.96 |-Branch one:
% 19.09/4.96 | (266) all_0_11_11 = e2
% 19.09/4.96 |
% 19.09/4.96 | Equations (266) can reduce 226 to:
% 19.09/4.96 | (267) $false
% 19.09/4.96 |
% 19.09/4.96 |-The branch is then unsatisfiable
% 19.09/4.96 |-Branch two:
% 19.09/4.96 | (226) ~ (all_0_11_11 = e2)
% 19.09/4.96 | (269) all_0_11_11 = e4 | all_0_11_11 = e1
% 19.09/4.96 |
% 19.09/4.96 +-Applying beta-rule and splitting (147), into two cases.
% 19.09/4.96 |-Branch one:
% 19.09/4.96 | (431) all_0_6_6 = e4
% 19.09/4.96 |
% 19.09/4.96 | Combining equations (411,431) yields a new equation:
% 19.09/4.96 | (327) e4 = e0
% 19.09/4.96 |
% 19.09/4.96 | Equations (327) can reduce 7 to:
% 19.09/4.96 | (267) $false
% 19.09/4.96 |
% 19.09/4.96 |-The branch is then unsatisfiable
% 19.09/4.96 |-Branch two:
% 19.09/4.96 | (400) ~ (all_0_6_6 = e4)
% 19.09/4.96 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 19.09/4.96 |
% 19.09/4.96 +-Applying beta-rule and splitting (12), into two cases.
% 19.09/4.96 |-Branch one:
% 19.09/4.96 | (315) all_0_9_9 = e4
% 19.09/4.96 |
% 19.09/4.96 | Equations (315) can reduce 302 to:
% 19.09/4.96 | (267) $false
% 19.09/4.96 |
% 19.09/4.96 |-The branch is then unsatisfiable
% 19.09/4.96 |-Branch two:
% 19.09/4.96 | (302) ~ (all_0_9_9 = e4)
% 19.09/4.96 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 19.09/4.96 |
% 19.09/4.96 +-Applying beta-rule and splitting (1397), into two cases.
% 19.09/4.96 |-Branch one:
% 19.09/4.96 | (399) all_0_15_15 = e4
% 19.09/4.96 |
% 19.09/4.96 | Combining equations (462,399) yields a new equation:
% 19.09/4.96 | (452) e4 = e3
% 19.09/4.96 |
% 19.09/4.96 | Equations (452) can reduce 24 to:
% 19.09/4.96 | (267) $false
% 19.09/4.96 |
% 19.09/4.96 |-The branch is then unsatisfiable
% 19.09/4.96 |-Branch two:
% 19.09/4.96 | (461) ~ (all_0_15_15 = e4)
% 19.09/4.96 | (599) all_0_18_18 = e4
% 19.09/4.96 |
% 19.09/4.96 | Equations (599) can reduce 570 to:
% 19.09/4.96 | (7) ~ (e4 = e0)
% 19.09/4.96 |
% 19.09/4.96 | From (599) and (142) follows:
% 19.09/4.96 | (1408) op(e0, e2) = e4
% 19.09/4.96 |
% 19.09/4.96 +-Applying beta-rule and splitting (1401), into two cases.
% 19.09/4.96 |-Branch one:
% 19.09/4.96 | (306) all_0_11_11 = e4
% 19.09/4.96 |
% 19.09/4.97 | Equations (306) can reduce 197 to:
% 19.09/4.97 | (302) ~ (all_0_9_9 = e4)
% 19.09/4.97 |
% 19.09/4.97 | Equations (306) can reduce 226 to:
% 19.09/4.97 | (205) ~ (e4 = e2)
% 19.09/4.97 |
% 19.09/4.97 | Equations (306) can reduce 1387 to:
% 19.09/4.97 | (217) ~ (e4 = e1)
% 19.09/4.97 |
% 19.09/4.97 | Equations (306) can reduce 81 to:
% 19.09/4.97 | (7) ~ (e4 = e0)
% 19.09/4.97 |
% 19.09/4.97 +-Applying beta-rule and splitting (63), into two cases.
% 19.09/4.97 |-Branch one:
% 19.09/4.97 | (356) all_0_9_9 = e1
% 19.09/4.97 |
% 19.09/4.97 | Equations (356) can reduce 302 to:
% 19.09/4.97 | (721) ~ (e4 = e1)
% 19.09/4.97 |
% 19.09/4.97 | Simplifying 721 yields:
% 19.09/4.97 | (217) ~ (e4 = e1)
% 19.09/4.97 |
% 19.09/4.97 | Equations (356) can reduce 355 to:
% 19.09/4.97 | (131) ~ (e1 = e0)
% 19.09/4.97 |
% 19.09/4.97 +-Applying beta-rule and splitting (129), into two cases.
% 19.09/4.97 |-Branch one:
% 19.09/4.97 | (427) all_0_4_4 = e4
% 19.09/4.97 |
% 19.09/4.97 | From (427) and (179) follows:
% 19.09/4.97 | (1419) op(e3, e4) = e4
% 19.09/4.97 |
% 19.09/4.97 +-Applying beta-rule and splitting (54), into two cases.
% 19.09/4.97 |-Branch one:
% 19.09/4.97 | (1420) unit = e2
% 19.09/4.97 |
% 19.09/4.97 | From (1420) and (52) follows:
% 19.09/4.97 | (1421) op(e2, e4) = e4
% 19.09/4.97 |
% 19.09/4.97 | From (1420) and (146) follows:
% 19.09/4.97 | (1422) op(e1, e2) = e1
% 19.09/4.97 |
% 19.09/4.97 | From (1420) and (220) follows:
% 19.09/4.97 | (1423) op(e0, e2) = e0
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 19.09/4.97 | (452) e4 = e3
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields:
% 19.09/4.97 | (833) e3 = e1
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields:
% 19.09/4.97 | (327) e4 = e0
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (452,327) yields a new equation:
% 19.09/4.97 | (1102) e3 = e0
% 19.09/4.97 |
% 19.09/4.97 | Simplifying 1102 yields:
% 19.09/4.97 | (1103) e3 = e0
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (833,1103) yields a new equation:
% 19.09/4.97 | (1156) e1 = e0
% 19.09/4.97 |
% 19.09/4.97 | Simplifying 1156 yields:
% 19.09/4.97 | (871) e1 = e0
% 19.09/4.97 |
% 19.09/4.97 | Equations (871) can reduce 131 to:
% 19.09/4.97 | (267) $false
% 19.09/4.97 |
% 19.09/4.97 |-The branch is then unsatisfiable
% 19.09/4.97 |-Branch two:
% 19.09/4.97 | (1432) ~ (unit = e2)
% 19.09/4.97 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.09/4.97 |
% 19.09/4.97 +-Applying beta-rule and splitting (1433), into two cases.
% 19.09/4.97 |-Branch one:
% 19.09/4.97 | (1434) unit = e4
% 19.09/4.97 |
% 19.09/4.97 | From (1434) and (130) follows:
% 19.09/4.97 | (1435) op(e4, e1) = e1
% 19.09/4.97 |
% 19.09/4.97 | From (1434) and (42) follows:
% 19.09/4.97 | (1436) op(e4, e0) = e0
% 19.09/4.97 |
% 19.09/4.97 | From (1434) and (112) follows:
% 19.09/4.97 | (1437) op(e3, e4) = e3
% 19.09/4.97 |
% 19.09/4.97 | From (1434) and (169) follows:
% 19.09/4.97 | (1438) op(e2, e4) = e2
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields:
% 19.09/4.97 | (833) e3 = e1
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 19.09/4.97 | (327) e4 = e0
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 19.09/4.97 | (452) e4 = e3
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 19.09/4.97 | (483) e3 = e2
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (452,327) yields a new equation:
% 19.09/4.97 | (1102) e3 = e0
% 19.09/4.97 |
% 19.09/4.97 | Simplifying 1102 yields:
% 19.09/4.97 | (1103) e3 = e0
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (1103,483) yields a new equation:
% 19.09/4.97 | (353) e2 = e0
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (833,483) yields a new equation:
% 19.09/4.97 | (760) e2 = e1
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (353,760) yields a new equation:
% 19.09/4.97 | (871) e1 = e0
% 19.09/4.97 |
% 19.09/4.97 | Equations (871) can reduce 131 to:
% 19.09/4.97 | (267) $false
% 19.09/4.97 |
% 19.09/4.97 |-The branch is then unsatisfiable
% 19.09/4.97 |-Branch two:
% 19.09/4.97 | (1449) ~ (unit = e4)
% 19.09/4.97 | (1450) unit = e3 | unit = e1 | unit = e0
% 19.09/4.97 |
% 19.09/4.97 +-Applying beta-rule and splitting (1450), into two cases.
% 19.09/4.97 |-Branch one:
% 19.09/4.97 | (1451) unit = e0
% 19.09/4.97 |
% 19.09/4.97 | Equations (1451) can reduce 564 to:
% 19.09/4.97 | (267) $false
% 19.09/4.97 |
% 19.09/4.97 |-The branch is then unsatisfiable
% 19.09/4.97 |-Branch two:
% 19.09/4.97 | (564) ~ (unit = e0)
% 19.09/4.97 | (1454) unit = e3 | unit = e1
% 19.09/4.97 |
% 19.09/4.97 +-Applying beta-rule and splitting (1454), into two cases.
% 19.09/4.97 |-Branch one:
% 19.09/4.97 | (1455) unit = e3
% 19.09/4.97 |
% 19.09/4.97 | From (1455) and (42) follows:
% 19.09/4.97 | (1456) op(e3, e0) = e0
% 19.09/4.97 |
% 19.09/4.97 | From (1455) and (199) follows:
% 19.09/4.97 | (1457) op(e4, e3) = e4
% 19.09/4.97 |
% 19.09/4.97 | From (1455) and (146) follows:
% 19.09/4.97 | (1458) op(e1, e3) = e1
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 19.09/4.97 | (297) e4 = e2
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e3, e0, e0, e2 and discharging atoms op(e3, e0) = e2, op(e3, e0) = e0, yields:
% 19.09/4.97 | (353) e2 = e0
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 19.09/4.97 | (934) e4 = e1
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (297,934) yields a new equation:
% 19.09/4.97 | (759) e2 = e1
% 19.09/4.97 |
% 19.09/4.97 | Simplifying 759 yields:
% 19.09/4.97 | (760) e2 = e1
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (353,760) yields a new equation:
% 19.09/4.97 | (871) e1 = e0
% 19.09/4.97 |
% 19.09/4.97 | Equations (871) can reduce 131 to:
% 19.09/4.97 | (267) $false
% 19.09/4.97 |
% 19.09/4.97 |-The branch is then unsatisfiable
% 19.09/4.97 |-Branch two:
% 19.09/4.97 | (493) ~ (unit = e3)
% 19.09/4.97 | (1467) unit = e1
% 19.09/4.97 |
% 19.09/4.97 | Equations (1467) can reduce 564 to:
% 19.09/4.97 | (131) ~ (e1 = e0)
% 19.09/4.97 |
% 19.09/4.97 | From (1467) and (52) follows:
% 19.09/4.97 | (1469) op(e1, e4) = e4
% 19.09/4.97 |
% 19.09/4.97 | From (1467) and (71) follows:
% 19.09/4.97 | (1470) op(e1, e3) = e3
% 19.09/4.97 |
% 19.09/4.97 | From (1467) and (112) follows:
% 19.09/4.97 | (1471) op(e3, e1) = e3
% 19.09/4.97 |
% 19.09/4.97 | From (1467) and (220) follows:
% 19.09/4.97 | (1472) op(e0, e1) = e0
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 19.09/4.97 | (833) e3 = e1
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 19.09/4.97 | (297) e4 = e2
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 19.09/4.97 | (452) e4 = e3
% 19.09/4.97 |
% 19.09/4.97 | Instantiating formula (178) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 19.09/4.97 | (353) e2 = e0
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (297,452) yields a new equation:
% 19.09/4.97 | (483) e3 = e2
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (483,833) yields a new equation:
% 19.09/4.97 | (759) e2 = e1
% 19.09/4.97 |
% 19.09/4.97 | Simplifying 759 yields:
% 19.09/4.97 | (760) e2 = e1
% 19.09/4.97 |
% 19.09/4.97 | Combining equations (760,353) yields a new equation:
% 19.09/4.97 | (1156) e1 = e0
% 19.09/4.97 |
% 19.09/4.97 | Simplifying 1156 yields:
% 19.09/4.98 | (871) e1 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (871) can reduce 131 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (261) ~ (all_0_4_4 = e4)
% 19.09/4.98 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (430), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (431) all_0_6_6 = e4
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (411,431) yields a new equation:
% 19.09/4.98 | (327) e4 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (327) can reduce 7 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (400) ~ (all_0_6_6 = e4)
% 19.09/4.98 | (434) all_0_7_7 = e4 | all_0_8_8 = e4
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (434), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (435) all_0_7_7 = e4
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (1385,435) yields a new equation:
% 19.09/4.98 | (934) e4 = e1
% 19.09/4.98 |
% 19.09/4.98 | Equations (934) can reduce 217 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (450) ~ (all_0_7_7 = e4)
% 19.09/4.98 | (296) all_0_8_8 = e4
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (296,281) yields a new equation:
% 19.09/4.98 | (847) e4 = e2
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 847 yields:
% 19.09/4.98 | (297) e4 = e2
% 19.09/4.98 |
% 19.09/4.98 | Equations (297) can reduce 205 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (310) ~ (all_0_9_9 = e1)
% 19.09/4.98 | (309) all_0_11_11 = e1
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (306,309) yields a new equation:
% 19.09/4.98 | (1500) e4 = e1
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 1500 yields:
% 19.09/4.98 | (934) e4 = e1
% 19.09/4.98 |
% 19.09/4.98 | Equations (934) can reduce 217 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (303) ~ (all_0_11_11 = e4)
% 19.09/4.98 | (301) all_0_12_12 = e4
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (580,301) yields a new equation:
% 19.09/4.98 | (327) e4 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (327) can reduce 7 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (514) ~ (all_0_14_14 = e4)
% 19.09/4.98 | (391) all_0_14_14 = e3
% 19.09/4.98 |
% 19.09/4.98 | Equations (391) can reduce 464 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (911) ~ (all_0_16_16 = e1)
% 19.09/4.98 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (76), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (1002) all_0_4_4 = e1
% 19.09/4.98 |
% 19.09/4.98 | Equations (1002) can reduce 240 to:
% 19.09/4.98 | (1005) ~ (e2 = e1)
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 1005 yields:
% 19.09/4.98 | (134) ~ (e2 = e1)
% 19.09/4.98 |
% 19.09/4.98 | Equations (1002) can reduce 882 to:
% 19.09/4.98 | (131) ~ (e1 = e0)
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (912), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (913) all_0_17_17 = e1
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (913,351) yields a new equation:
% 19.09/4.98 | (1156) e1 = e0
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 1156 yields:
% 19.09/4.98 | (871) e1 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (871) can reduce 131 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (720) ~ (all_0_17_17 = e1)
% 19.09/4.98 | (916) all_0_19_19 = e1
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (367,916) yields a new equation:
% 19.09/4.98 | (759) e2 = e1
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 759 yields:
% 19.09/4.98 | (760) e2 = e1
% 19.09/4.98 |
% 19.09/4.98 | Equations (760) can reduce 134 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (742) ~ (all_0_4_4 = e1)
% 19.09/4.98 | (741) all_0_16_16 = e1
% 19.09/4.98 |
% 19.09/4.98 | Equations (741) can reduce 911 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (392) ~ (all_0_5_5 = e3)
% 19.09/4.98 | (1529) all_0_6_6 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (184), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (402) all_0_5_5 = e2
% 19.09/4.98 |
% 19.09/4.98 | Equations (402) can reduce 238 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (238) ~ (all_0_5_5 = e2)
% 19.09/4.98 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (405), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (406) all_0_5_5 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (406) can reduce 422 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (422) ~ (all_0_5_5 = e0)
% 19.09/4.98 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (455), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (456) all_0_5_5 = e3
% 19.09/4.98 |
% 19.09/4.98 | Equations (456) can reduce 392 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (392) ~ (all_0_5_5 = e3)
% 19.09/4.98 | (459) all_0_5_5 = e1
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (125), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (265) ~ (all_0_5_5 = e1)
% 19.09/4.98 |
% 19.09/4.98 | Equations (459) can reduce 265 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (459) all_0_5_5 = e1
% 19.09/4.98 | (713) all_0_7_7 = e3
% 19.09/4.98 |
% 19.09/4.98 | Equations (713) can reduce 1269 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (520) ~ (all_0_1_1 = e2)
% 19.09/4.98 | (1048) all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (1048), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (402) all_0_5_5 = e2
% 19.09/4.98 |
% 19.09/4.98 | Equations (402) can reduce 238 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (238) ~ (all_0_5_5 = e2)
% 19.09/4.98 | (1052) all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (1052), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (311) all_0_9_9 = e2
% 19.09/4.98 |
% 19.09/4.98 | Equations (311) can reduce 224 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (224) ~ (all_0_9_9 = e2)
% 19.09/4.98 | (1058) all_0_14_14 = e2 | all_0_17_17 = e2
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (1058), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (387) all_0_14_14 = e2
% 19.09/4.98 |
% 19.09/4.98 | Equations (387) can reduce 242 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (242) ~ (all_0_14_14 = e2)
% 19.09/4.98 | (288) all_0_17_17 = e2
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (351,288) yields a new equation:
% 19.09/4.98 | (353) e2 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (353) can reduce 45 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (408) ~ (all_0_6_6 = e0)
% 19.09/4.98 | (414) all_0_10_10 = e0 | all_0_18_18 = e0
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (414), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (415) all_0_10_10 = e0
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (222,415) yields a new equation:
% 19.09/4.98 | (352) e2 = e0
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 352 yields:
% 19.09/4.98 | (353) e2 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (353) can reduce 45 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (221) ~ (all_0_10_10 = e0)
% 19.09/4.98 | (420) all_0_18_18 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (420) can reduce 570 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (372) ~ (all_0_8_8 = e2)
% 19.09/4.98 | (373) all_0_12_12 = e2 | all_0_20_20 = e2
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (373), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (374) all_0_12_12 = e2
% 19.09/4.98 |
% 19.09/4.98 | Combining equations (374,580) yields a new equation:
% 19.09/4.98 | (352) e2 = e0
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 352 yields:
% 19.09/4.98 | (353) e2 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (353) can reduce 45 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (228) ~ (all_0_12_12 = e2)
% 19.09/4.98 | (337) all_0_20_20 = e2
% 19.09/4.98 |
% 19.09/4.98 | Equations (337) can reduce 251 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (337) all_0_20_20 = e2
% 19.09/4.98 | (420) all_0_18_18 = e0
% 19.09/4.98 |
% 19.09/4.98 | Equations (420) can reduce 155 to:
% 19.09/4.98 | (408) ~ (all_0_6_6 = e0)
% 19.09/4.98 |
% 19.09/4.98 | Equations (420) can reduce 161 to:
% 19.09/4.98 | (587) ~ (all_0_16_16 = e0)
% 19.09/4.98 |
% 19.09/4.98 | Equations (420) can reduce 137 to:
% 19.09/4.98 | (654) ~ (all_0_17_17 = e0)
% 19.09/4.98 |
% 19.09/4.98 | Equations (337) can reduce 26 to:
% 19.09/4.98 | (361) ~ (all_0_17_17 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Equations (337) can reduce 35 to:
% 19.09/4.98 | (274) ~ (all_0_19_19 = e2)
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (152), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (540) all_0_1_1 = e2
% 19.09/4.98 |
% 19.09/4.98 | Equations (540) can reduce 190 to:
% 19.09/4.98 | (1238) ~ (all_0_2_2 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 1238 yields:
% 19.09/4.98 | (379) ~ (all_0_2_2 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Equations (540) can reduce 215 to:
% 19.09/4.98 | (271) ~ (all_0_3_3 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 271 yields:
% 19.09/4.98 | (272) ~ (all_0_3_3 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Equations (540) can reduce 13 to:
% 19.09/4.98 | (1593) ~ (all_0_9_9 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 1593 yields:
% 19.09/4.98 | (224) ~ (all_0_9_9 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Equations (540) can reduce 136 to:
% 19.09/4.98 | (241) ~ (all_0_14_14 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 241 yields:
% 19.09/4.98 | (242) ~ (all_0_14_14 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Equations (540) can reduce 36 to:
% 19.09/4.98 | (1597) ~ (all_0_17_17 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 1597 yields:
% 19.09/4.98 | (361) ~ (all_0_17_17 = e2)
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (101), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (270) all_0_2_2 = e2
% 19.09/4.98 |
% 19.09/4.98 | Equations (270) can reduce 379 to:
% 19.09/4.98 | (267) $false
% 19.09/4.98 |
% 19.09/4.98 |-The branch is then unsatisfiable
% 19.09/4.98 |-Branch two:
% 19.09/4.98 | (379) ~ (all_0_2_2 = e2)
% 19.09/4.98 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (549), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (1125) all_0_7_7 = e2
% 19.09/4.98 |
% 19.09/4.98 | Equations (1125) can reduce 23 to:
% 19.09/4.98 | (223) ~ (all_0_6_6 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Equations (1125) can reduce 48 to:
% 19.09/4.98 | (273) ~ (all_0_19_19 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Simplifying 273 yields:
% 19.09/4.98 | (274) ~ (all_0_19_19 = e2)
% 19.09/4.98 |
% 19.09/4.98 | Equations (1125) can reduce 4 to:
% 19.09/4.98 | (45) ~ (e2 = e0)
% 19.09/4.98 |
% 19.09/4.98 +-Applying beta-rule and splitting (125), into two cases.
% 19.09/4.98 |-Branch one:
% 19.09/4.98 | (265) ~ (all_0_5_5 = e1)
% 19.09/4.98 |
% 19.09/4.99 +-Applying beta-rule and splitting (175), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (1002) all_0_4_4 = e1
% 19.09/4.99 |
% 19.09/4.99 | Equations (1002) can reduce 99 to:
% 19.09/4.99 | (1610) ~ (all_0_6_6 = e1)
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 1610 yields:
% 19.09/4.99 | (34) ~ (all_0_6_6 = e1)
% 19.09/4.99 |
% 19.09/4.99 | From (1002) and (179) follows:
% 19.09/4.99 | (1612) op(e3, e4) = e1
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (198), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (326) all_0_0_0 = e0
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (41), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (253) all_0_0_0 = e4
% 19.09/4.99 |
% 19.09/4.99 | Combining equations (253,326) yields a new equation:
% 19.09/4.99 | (657) e4 = e0
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 657 yields:
% 19.09/4.99 | (327) e4 = e0
% 19.09/4.99 |
% 19.09/4.99 | Equations (327) can reduce 7 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (1168) ~ (all_0_0_0 = e4)
% 19.09/4.99 | (1619) all_0_4_4 = e4 | all_0_13_13 = e4 | all_0_16_16 = e4
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (1619), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (427) all_0_4_4 = e4
% 19.09/4.99 |
% 19.09/4.99 | Combining equations (1002,427) yields a new equation:
% 19.09/4.99 | (934) e4 = e1
% 19.09/4.99 |
% 19.09/4.99 | Equations (934) can reduce 217 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (261) ~ (all_0_4_4 = e4)
% 19.09/4.99 | (1624) all_0_13_13 = e4 | all_0_16_16 = e4
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (1624), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (1625) all_0_13_13 = e4
% 19.09/4.99 |
% 19.09/4.99 | Combining equations (239,1625) yields a new equation:
% 19.09/4.99 | (297) e4 = e2
% 19.09/4.99 |
% 19.09/4.99 | Equations (297) can reduce 205 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (1628) ~ (all_0_13_13 = e4)
% 19.09/4.99 | (1629) all_0_16_16 = e4
% 19.09/4.99 |
% 19.09/4.99 | Equations (1629) can reduce 107 to:
% 19.09/4.99 | (1630) ~ (all_0_17_17 = e4)
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 1630 yields:
% 19.09/4.99 | (510) ~ (all_0_17_17 = e4)
% 19.09/4.99 |
% 19.09/4.99 | Equations (1629) can reduce 69 to:
% 19.09/4.99 | (601) ~ (all_0_19_19 = e4)
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 601 yields:
% 19.09/4.99 | (602) ~ (all_0_19_19 = e4)
% 19.09/4.99 |
% 19.09/4.99 | Equations (1629) can reduce 58 to:
% 19.09/4.99 | (24) ~ (e4 = e3)
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (47), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (252) ~ (all_0_0_0 = e0)
% 19.09/4.99 |
% 19.09/4.99 | Equations (326) can reduce 252 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (326) all_0_0_0 = e0
% 19.09/4.99 | (292) all_0_3_3 = e4
% 19.09/4.99 |
% 19.09/4.99 | Equations (292) can reduce 208 to:
% 19.09/4.99 | (257) ~ (all_0_2_2 = e4)
% 19.09/4.99 |
% 19.09/4.99 | Equations (292) can reduce 272 to:
% 19.09/4.99 | (205) ~ (e4 = e2)
% 19.09/4.99 |
% 19.09/4.99 | Equations (292) can reduce 182 to:
% 19.09/4.99 | (217) ~ (e4 = e1)
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (122), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (804) all_0_1_1 = e3
% 19.09/4.99 |
% 19.09/4.99 | Combining equations (804,540) yields a new equation:
% 19.09/4.99 | (545) e3 = e2
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 545 yields:
% 19.09/4.99 | (483) e3 = e2
% 19.09/4.99 |
% 19.09/4.99 | Equations (483) can reduce 191 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (829) ~ (all_0_1_1 = e3)
% 19.09/4.99 | (1647) all_0_2_2 = e3 | all_0_3_3 = e3
% 19.09/4.99 |
% 19.09/4.99 | Equations (540) can reduce 829 to:
% 19.09/4.99 | (235) ~ (e3 = e2)
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 235 yields:
% 19.09/4.99 | (191) ~ (e3 = e2)
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (160), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (672) all_0_3_3 = e3
% 19.09/4.99 |
% 19.09/4.99 | Combining equations (672,292) yields a new equation:
% 19.09/4.99 | (452) e4 = e3
% 19.09/4.99 |
% 19.09/4.99 | Equations (452) can reduce 24 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (386) ~ (all_0_3_3 = e3)
% 19.09/4.99 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (211), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (381) all_0_2_2 = e4
% 19.09/4.99 |
% 19.09/4.99 | Equations (381) can reduce 257 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (257) ~ (all_0_2_2 = e4)
% 19.09/4.99 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (822), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (425) all_0_8_8 = e3
% 19.09/4.99 |
% 19.09/4.99 | Equations (425) can reduce 138 to:
% 19.09/4.99 | (426) ~ (all_0_6_6 = e3)
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (624), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (435) all_0_7_7 = e4
% 19.09/4.99 |
% 19.09/4.99 | Combining equations (435,1125) yields a new equation:
% 19.09/4.99 | (847) e4 = e2
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 847 yields:
% 19.09/4.99 | (297) e4 = e2
% 19.09/4.99 |
% 19.09/4.99 | Equations (297) can reduce 205 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (450) ~ (all_0_7_7 = e4)
% 19.09/4.99 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (628), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (306) all_0_11_11 = e4
% 19.09/4.99 |
% 19.09/4.99 | Equations (306) can reduce 203 to:
% 19.09/4.99 | (24) ~ (e4 = e3)
% 19.09/4.99 |
% 19.09/4.99 | From (306) and (162) follows:
% 19.09/4.99 | (1669) op(e2, e1) = e4
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (1647), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (384) all_0_2_2 = e3
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (63), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (356) all_0_9_9 = e1
% 19.09/4.99 |
% 19.09/4.99 | Equations (356) can reduce 210 to:
% 19.09/4.99 | (1672) ~ (all_0_14_14 = e1)
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 1672 yields:
% 19.09/4.99 | (181) ~ (all_0_14_14 = e1)
% 19.09/4.99 |
% 19.09/4.99 | Equations (356) can reduce 163 to:
% 19.09/4.99 | (719) ~ (all_0_17_17 = e1)
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 719 yields:
% 19.09/4.99 | (720) ~ (all_0_17_17 = e1)
% 19.09/4.99 |
% 19.09/4.99 | Equations (356) can reduce 224 to:
% 19.09/4.99 | (1005) ~ (e2 = e1)
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 1005 yields:
% 19.09/4.99 | (134) ~ (e2 = e1)
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (95), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (448) all_0_6_6 = e3
% 19.09/4.99 |
% 19.09/4.99 | Equations (448) can reduce 426 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (426) ~ (all_0_6_6 = e3)
% 19.09/4.99 | (1681) all_0_15_15 = e3 | all_0_18_18 = e3
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (180), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (437) all_0_6_6 = e2
% 19.09/4.99 |
% 19.09/4.99 | Equations (437) can reduce 223 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (223) ~ (all_0_6_6 = e2)
% 19.09/4.99 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (157), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (288) all_0_17_17 = e2
% 19.09/4.99 |
% 19.09/4.99 | Equations (288) can reduce 361 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (361) ~ (all_0_17_17 = e2)
% 19.09/4.99 | (1689) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (440), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (431) all_0_6_6 = e4
% 19.09/4.99 |
% 19.09/4.99 | Equations (431) can reduce 34 to:
% 19.09/4.99 | (217) ~ (e4 = e1)
% 19.09/4.99 |
% 19.09/4.99 | From (431) and (89) follows:
% 19.09/4.99 | (1692) op(e3, e2) = e4
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (1689), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (846) all_0_17_17 = e4
% 19.09/4.99 |
% 19.09/4.99 | Equations (846) can reduce 510 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (510) ~ (all_0_17_17 = e4)
% 19.09/4.99 | (1696) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (1696), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (351) all_0_17_17 = e0
% 19.09/4.99 |
% 19.09/4.99 | Equations (351) can reduce 654 to:
% 19.09/4.99 | (267) $false
% 19.09/4.99 |
% 19.09/4.99 |-The branch is then unsatisfiable
% 19.09/4.99 |-Branch two:
% 19.09/4.99 | (654) ~ (all_0_17_17 = e0)
% 19.09/4.99 | (1700) all_0_17_17 = e3 | all_0_17_17 = e1
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (1700), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (842) all_0_17_17 = e3
% 19.09/4.99 |
% 19.09/4.99 | Equations (842) can reduce 6 to:
% 19.09/4.99 | (967) ~ (all_0_19_19 = e3)
% 19.09/4.99 |
% 19.09/4.99 | Simplifying 967 yields:
% 19.09/4.99 | (968) ~ (all_0_19_19 = e3)
% 19.09/4.99 |
% 19.09/4.99 | Equations (842) can reduce 361 to:
% 19.09/4.99 | (191) ~ (e3 = e2)
% 19.09/4.99 |
% 19.09/4.99 | Equations (842) can reduce 654 to:
% 19.09/4.99 | (61) ~ (e3 = e0)
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (75), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 19.09/4.99 |
% 19.09/4.99 +-Applying beta-rule and splitting (472), into two cases.
% 19.09/4.99 |-Branch one:
% 19.09/4.99 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 19.09/5.00 |
% 19.09/5.00 +-Applying beta-rule and splitting (473), into two cases.
% 19.09/5.00 |-Branch one:
% 19.09/5.00 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 19.09/5.00 |
% 19.09/5.00 +-Applying beta-rule and splitting (474), into two cases.
% 19.09/5.00 |-Branch one:
% 19.09/5.00 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 19.09/5.00 |
% 19.09/5.00 | Applying alpha-rule on (475) yields:
% 19.09/5.00 | (270) all_0_2_2 = e2
% 19.09/5.00 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 19.09/5.00 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 19.09/5.00 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 19.09/5.00 | (310) ~ (all_0_9_9 = e1)
% 19.09/5.00 | (481) ~ (unit = e1)
% 19.09/5.00 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 19.09/5.00 |
% 19.09/5.00 | Combining equations (384,270) yields a new equation:
% 19.09/5.00 | (545) e3 = e2
% 19.09/5.00 |
% 19.09/5.00 | Simplifying 545 yields:
% 19.09/5.00 | (483) e3 = e2
% 19.09/5.00 |
% 19.09/5.00 | Equations (483) can reduce 191 to:
% 19.09/5.00 | (267) $false
% 19.09/5.00 |
% 19.09/5.00 |-The branch is then unsatisfiable
% 19.09/5.00 |-Branch two:
% 19.09/5.00 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 19.09/5.00 |
% 19.09/5.00 | Applying alpha-rule on (485) yields:
% 19.09/5.00 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 19.09/5.00 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 19.09/5.00 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 19.09/5.00 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 19.09/5.00 | (315) all_0_9_9 = e4
% 19.09/5.00 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 19.09/5.00 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 19.09/5.00 | (493) ~ (unit = e3)
% 19.09/5.00 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 19.09/5.00 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 19.09/5.00 | (496) ~ (all_0_2_2 = e3)
% 19.09/5.00 |
% 19.09/5.00 | Combining equations (356,315) yields a new equation:
% 19.09/5.00 | (934) e4 = e1
% 19.09/5.00 |
% 19.09/5.00 | Equations (934) can reduce 217 to:
% 19.09/5.00 | (267) $false
% 19.09/5.00 |
% 19.09/5.00 |-The branch is then unsatisfiable
% 19.09/5.00 |-Branch two:
% 19.09/5.00 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 19.09/5.00 |
% 19.09/5.00 | Applying alpha-rule on (498) yields:
% 19.09/5.00 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 19.09/5.00 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 19.09/5.00 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 19.09/5.00 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 19.09/5.00 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 19.09/5.00 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 19.09/5.00 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 19.09/5.00 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 19.09/5.00 | (358) ~ (all_0_12_12 = e4)
% 19.09/5.00 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 19.09/5.00 | (255) ~ (all_0_1_1 = e4)
% 19.09/5.00 | (510) ~ (all_0_17_17 = e4)
% 19.09/5.00 | (257) ~ (all_0_2_2 = e4)
% 19.09/5.00 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 19.09/5.00 | (303) ~ (all_0_11_11 = e4)
% 19.09/5.00 | (514) ~ (all_0_14_14 = e4)
% 19.09/5.00 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 19.09/5.00 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 19.09/5.00 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 19.09/5.00 |
% 19.09/5.00 | Equations (306) can reduce 303 to:
% 19.09/5.00 | (267) $false
% 19.09/5.00 |
% 19.09/5.00 |-The branch is then unsatisfiable
% 19.09/5.00 |-Branch two:
% 19.09/5.00 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 19.09/5.00 |
% 19.09/5.00 | Applying alpha-rule on (519) yields:
% 19.09/5.00 | (520) ~ (all_0_1_1 = e2)
% 19.09/5.00 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 19.09/5.00 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 19.09/5.00 | (226) ~ (all_0_11_11 = e2)
% 19.09/5.00 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 19.09/5.00 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 19.09/5.00 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 19.09/5.00 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 19.09/5.00 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 19.09/5.00 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 19.09/5.00 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 19.09/5.00 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 19.09/5.00 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 19.09/5.00 | (272) ~ (all_0_3_3 = e2)
% 19.09/5.00 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 19.09/5.00 | (274) ~ (all_0_19_19 = e2)
% 19.09/5.00 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 19.09/5.00 | (537) ~ (all_0_7_7 = e2)
% 19.09/5.00 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 19.09/5.00 | (224) ~ (all_0_9_9 = e2)
% 19.09/5.00 |
% 19.09/5.00 | Equations (1125) can reduce 537 to:
% 19.09/5.00 | (267) $false
% 19.09/5.00 |
% 19.09/5.00 |-The branch is then unsatisfiable
% 19.09/5.00 |-Branch two:
% 19.09/5.00 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 19.09/5.00 |
% 19.09/5.00 | Applying alpha-rule on (558) yields:
% 19.09/5.00 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 19.09/5.00 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 19.09/5.00 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 19.09/5.00 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 19.09/5.00 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 19.09/5.00 | (564) ~ (unit = e0)
% 19.09/5.00 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 19.09/5.00 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 19.09/5.00 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 19.09/5.00 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 19.09/5.00 | (355) ~ (all_0_9_9 = e0)
% 19.09/5.00 |
% 19.09/5.00 +-Applying beta-rule and splitting (1681), into two cases.
% 19.09/5.00 |-Branch one:
% 19.09/5.00 | (462) all_0_15_15 = e3
% 19.09/5.00 |
% 19.09/5.00 | Equations (462) can reduce 38 to:
% 19.09/5.00 | (464) ~ (all_0_14_14 = e3)
% 19.09/5.00 |
% 19.09/5.00 +-Applying beta-rule and splitting (188), into two cases.
% 19.09/5.00 |-Branch one:
% 19.09/5.00 | (387) all_0_14_14 = e2
% 19.09/5.00 |
% 19.09/5.00 | Equations (387) can reduce 242 to:
% 19.09/5.00 | (267) $false
% 19.09/5.00 |
% 19.09/5.00 |-The branch is then unsatisfiable
% 19.09/5.00 |-Branch two:
% 19.09/5.00 | (242) ~ (all_0_14_14 = e2)
% 19.09/5.00 | (390) all_0_14_14 = e4 | all_0_14_14 = e3
% 19.09/5.00 |
% 19.09/5.00 +-Applying beta-rule and splitting (390), into two cases.
% 19.09/5.00 |-Branch one:
% 19.09/5.00 | (470) all_0_14_14 = e4
% 19.09/5.00 |
% 19.09/5.00 | Equations (470) can reduce 181 to:
% 19.09/5.00 | (217) ~ (e4 = e1)
% 19.09/5.00 |
% 19.09/5.00 | From (470) and (117) follows:
% 19.09/5.00 | (1297) op(e1, e3) = e4
% 19.09/5.00 |
% 19.09/5.00 +-Applying beta-rule and splitting (56), into two cases.
% 19.09/5.00 |-Branch one:
% 19.09/5.00 | (1385) all_0_7_7 = e1
% 19.09/5.00 |
% 19.09/5.00 | Combining equations (1385,1125) yields a new equation:
% 19.09/5.00 | (760) e2 = e1
% 19.09/5.00 |
% 19.09/5.00 | Equations (760) can reduce 134 to:
% 19.09/5.00 | (267) $false
% 19.09/5.00 |
% 19.09/5.00 |-The branch is then unsatisfiable
% 19.09/5.00 |-Branch two:
% 19.09/5.00 | (1801) ~ (all_0_7_7 = e1)
% 19.09/5.00 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 19.09/5.00 |
% 19.09/5.01 +-Applying beta-rule and splitting (1802), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (309) all_0_11_11 = e1
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (306,309) yields a new equation:
% 19.09/5.01 | (1500) e4 = e1
% 19.09/5.01 |
% 19.09/5.01 | Simplifying 1500 yields:
% 19.09/5.01 | (934) e4 = e1
% 19.09/5.01 |
% 19.09/5.01 | Equations (934) can reduce 217 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (1387) ~ (all_0_11_11 = e1)
% 19.09/5.01 | (916) all_0_19_19 = e1
% 19.09/5.01 |
% 19.09/5.01 | Equations (916) can reduce 968 to:
% 19.09/5.01 | (743) ~ (e3 = e1)
% 19.09/5.01 |
% 19.09/5.01 | Simplifying 743 yields:
% 19.09/5.01 | (133) ~ (e3 = e1)
% 19.09/5.01 |
% 19.09/5.01 | Equations (916) can reduce 274 to:
% 19.09/5.01 | (1005) ~ (e2 = e1)
% 19.09/5.01 |
% 19.09/5.01 | Simplifying 1005 yields:
% 19.09/5.01 | (134) ~ (e2 = e1)
% 19.09/5.01 |
% 19.09/5.01 | From (916) and (209) follows:
% 19.09/5.01 | (1813) op(e0, e1) = e1
% 19.09/5.01 |
% 19.09/5.01 +-Applying beta-rule and splitting (54), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (1420) unit = e2
% 19.09/5.01 |
% 19.09/5.01 | From (1420) and (52) follows:
% 19.09/5.01 | (1421) op(e2, e4) = e4
% 19.09/5.01 |
% 19.09/5.01 | From (1420) and (130) follows:
% 19.09/5.01 | (1816) op(e2, e1) = e1
% 19.09/5.01 |
% 19.09/5.01 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 19.09/5.01 | (452) e4 = e3
% 19.09/5.01 |
% 19.09/5.01 | Instantiating formula (178) with e2, e1, e1, e4 and discharging atoms op(e2, e1) = e4, op(e2, e1) = e1, yields:
% 19.09/5.01 | (934) e4 = e1
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (934,452) yields a new equation:
% 19.09/5.01 | (833) e3 = e1
% 19.09/5.01 |
% 19.09/5.01 | Equations (833) can reduce 133 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (1432) ~ (unit = e2)
% 19.09/5.01 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.09/5.01 |
% 19.09/5.01 +-Applying beta-rule and splitting (1433), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (1434) unit = e4
% 19.09/5.01 |
% 19.09/5.01 | From (1434) and (112) follows:
% 19.09/5.01 | (1437) op(e3, e4) = e3
% 19.09/5.01 |
% 19.09/5.01 | From (1434) and (169) follows:
% 19.09/5.01 | (1438) op(e2, e4) = e2
% 19.09/5.01 |
% 19.09/5.01 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 19.09/5.01 | (833) e3 = e1
% 19.09/5.01 |
% 19.09/5.01 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 19.09/5.01 | (483) e3 = e2
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (483,833) yields a new equation:
% 19.09/5.01 | (759) e2 = e1
% 19.09/5.01 |
% 19.09/5.01 | Simplifying 759 yields:
% 19.09/5.01 | (760) e2 = e1
% 19.09/5.01 |
% 19.09/5.01 | Equations (760) can reduce 134 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (1449) ~ (unit = e4)
% 19.09/5.01 | (1450) unit = e3 | unit = e1 | unit = e0
% 19.09/5.01 |
% 19.09/5.01 +-Applying beta-rule and splitting (1450), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (1451) unit = e0
% 19.09/5.01 |
% 19.09/5.01 | Equations (1451) can reduce 564 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (564) ~ (unit = e0)
% 19.09/5.01 | (1454) unit = e3 | unit = e1
% 19.09/5.01 |
% 19.09/5.01 +-Applying beta-rule and splitting (1454), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (1455) unit = e3
% 19.09/5.01 |
% 19.09/5.01 | From (1455) and (153) follows:
% 19.09/5.01 | (1838) op(e3, e2) = e2
% 19.09/5.01 |
% 19.09/5.01 | From (1455) and (146) follows:
% 19.09/5.01 | (1458) op(e1, e3) = e1
% 19.09/5.01 |
% 19.09/5.01 | Instantiating formula (178) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 19.09/5.01 | (297) e4 = e2
% 19.09/5.01 |
% 19.09/5.01 | Instantiating formula (178) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 19.09/5.01 | (934) e4 = e1
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (297,934) yields a new equation:
% 19.09/5.01 | (759) e2 = e1
% 19.09/5.01 |
% 19.09/5.01 | Simplifying 759 yields:
% 19.09/5.01 | (760) e2 = e1
% 19.09/5.01 |
% 19.09/5.01 | Equations (760) can reduce 134 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (493) ~ (unit = e3)
% 19.09/5.01 | (1467) unit = e1
% 19.09/5.01 |
% 19.09/5.01 | Equations (1467) can reduce 564 to:
% 19.09/5.01 | (131) ~ (e1 = e0)
% 19.09/5.01 |
% 19.09/5.01 | From (1467) and (220) follows:
% 19.09/5.01 | (1472) op(e0, e1) = e0
% 19.09/5.01 |
% 19.09/5.01 | Instantiating formula (178) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 19.09/5.01 | (871) e1 = e0
% 19.09/5.01 |
% 19.09/5.01 | Equations (871) can reduce 131 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (514) ~ (all_0_14_14 = e4)
% 19.09/5.01 | (391) all_0_14_14 = e3
% 19.09/5.01 |
% 19.09/5.01 | Equations (391) can reduce 464 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (394) ~ (all_0_15_15 = e3)
% 19.09/5.01 | (679) all_0_18_18 = e3
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (420,679) yields a new equation:
% 19.09/5.01 | (1103) e3 = e0
% 19.09/5.01 |
% 19.09/5.01 | Equations (1103) can reduce 61 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (1858) ~ (all_0_17_17 = e3)
% 19.09/5.01 | (913) all_0_17_17 = e1
% 19.09/5.01 |
% 19.09/5.01 | Equations (913) can reduce 720 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (400) ~ (all_0_6_6 = e4)
% 19.09/5.01 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 19.09/5.01 |
% 19.09/5.01 +-Applying beta-rule and splitting (444), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (411) all_0_6_6 = e0
% 19.09/5.01 |
% 19.09/5.01 | Equations (411) can reduce 408 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (408) ~ (all_0_6_6 = e0)
% 19.09/5.01 | (448) all_0_6_6 = e3
% 19.09/5.01 |
% 19.09/5.01 | Equations (448) can reduce 426 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (310) ~ (all_0_9_9 = e1)
% 19.09/5.01 | (309) all_0_11_11 = e1
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (309,306) yields a new equation:
% 19.09/5.01 | (934) e4 = e1
% 19.09/5.01 |
% 19.09/5.01 | Equations (934) can reduce 217 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (496) ~ (all_0_2_2 = e3)
% 19.09/5.01 | (672) all_0_3_3 = e3
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (672,292) yields a new equation:
% 19.09/5.01 | (452) e4 = e3
% 19.09/5.01 |
% 19.09/5.01 | Equations (452) can reduce 24 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (303) ~ (all_0_11_11 = e4)
% 19.09/5.01 | (644) all_0_19_19 = e4
% 19.09/5.01 |
% 19.09/5.01 | Equations (644) can reduce 602 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (724) ~ (all_0_8_8 = e3)
% 19.09/5.01 | (348) all_0_20_20 = e3
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (337,348) yields a new equation:
% 19.09/5.01 | (483) e3 = e2
% 19.09/5.01 |
% 19.09/5.01 | Equations (483) can reduce 191 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (252) ~ (all_0_0_0 = e0)
% 19.09/5.01 | (774) all_0_4_4 = e0 | all_0_16_16 = e0
% 19.09/5.01 |
% 19.09/5.01 +-Applying beta-rule and splitting (121), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (253) all_0_0_0 = e4
% 19.09/5.01 |
% 19.09/5.01 | Equations (253) can reduce 252 to:
% 19.09/5.01 | (7) ~ (e4 = e0)
% 19.09/5.01 |
% 19.09/5.01 +-Applying beta-rule and splitting (85), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (326) all_0_0_0 = e0
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (326,253) yields a new equation:
% 19.09/5.01 | (327) e4 = e0
% 19.09/5.01 |
% 19.09/5.01 | Equations (327) can reduce 7 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (252) ~ (all_0_0_0 = e0)
% 19.09/5.01 | (330) all_0_1_1 = e0 | all_0_3_3 = e0
% 19.09/5.01 |
% 19.09/5.01 +-Applying beta-rule and splitting (330), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (331) all_0_1_1 = e0
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (331,540) yields a new equation:
% 19.09/5.01 | (353) e2 = e0
% 19.09/5.01 |
% 19.09/5.01 | Equations (353) can reduce 45 to:
% 19.09/5.01 | (267) $false
% 19.09/5.01 |
% 19.09/5.01 |-The branch is then unsatisfiable
% 19.09/5.01 |-Branch two:
% 19.09/5.01 | (320) ~ (all_0_1_1 = e0)
% 19.09/5.01 | (334) all_0_3_3 = e0
% 19.09/5.01 |
% 19.09/5.01 | Equations (334) can reduce 182 to:
% 19.09/5.01 | (788) ~ (e1 = e0)
% 19.09/5.01 |
% 19.09/5.01 | Simplifying 788 yields:
% 19.09/5.01 | (131) ~ (e1 = e0)
% 19.09/5.01 |
% 19.09/5.01 +-Applying beta-rule and splitting (774), into two cases.
% 19.09/5.01 |-Branch one:
% 19.09/5.01 | (785) all_0_4_4 = e0
% 19.09/5.01 |
% 19.09/5.01 | Combining equations (1002,785) yields a new equation:
% 19.09/5.01 | (1156) e1 = e0
% 19.09/5.01 |
% 19.09/5.01 | Simplifying 1156 yields:
% 19.09/5.01 | (871) e1 = e0
% 19.09/5.01 |
% 19.09/5.02 | Equations (871) can reduce 131 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (882) ~ (all_0_4_4 = e0)
% 19.09/5.02 | (609) all_0_16_16 = e0
% 19.09/5.02 |
% 19.09/5.02 | Equations (609) can reduce 587 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (1168) ~ (all_0_0_0 = e4)
% 19.09/5.02 | (326) all_0_0_0 = e0
% 19.09/5.02 |
% 19.09/5.02 | Equations (326) can reduce 252 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (742) ~ (all_0_4_4 = e1)
% 19.09/5.02 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (76), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (1002) all_0_4_4 = e1
% 19.09/5.02 |
% 19.09/5.02 | Equations (1002) can reduce 742 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (742) ~ (all_0_4_4 = e1)
% 19.09/5.02 | (741) all_0_16_16 = e1
% 19.09/5.02 |
% 19.09/5.02 | Equations (741) can reduce 107 to:
% 19.09/5.02 | (719) ~ (all_0_17_17 = e1)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 719 yields:
% 19.09/5.02 | (720) ~ (all_0_17_17 = e1)
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (126), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (459) all_0_5_5 = e1
% 19.09/5.02 |
% 19.09/5.02 | Equations (459) can reduce 265 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (265) ~ (all_0_5_5 = e1)
% 19.09/5.02 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (1035), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (356) all_0_9_9 = e1
% 19.09/5.02 |
% 19.09/5.02 | Equations (356) can reduce 2 to:
% 19.09/5.02 | (265) ~ (all_0_5_5 = e1)
% 19.09/5.02 |
% 19.09/5.02 | Equations (356) can reduce 224 to:
% 19.09/5.02 | (1005) ~ (e2 = e1)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 1005 yields:
% 19.09/5.02 | (134) ~ (e2 = e1)
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (1292), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (459) all_0_5_5 = e1
% 19.09/5.02 |
% 19.09/5.02 | Equations (459) can reduce 265 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (265) ~ (all_0_5_5 = e1)
% 19.09/5.02 | (1385) all_0_7_7 = e1
% 19.09/5.02 |
% 19.09/5.02 | Combining equations (1385,1125) yields a new equation:
% 19.09/5.02 | (760) e2 = e1
% 19.09/5.02 |
% 19.09/5.02 | Equations (760) can reduce 134 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (310) ~ (all_0_9_9 = e1)
% 19.09/5.02 | (913) all_0_17_17 = e1
% 19.09/5.02 |
% 19.09/5.02 | Equations (913) can reduce 720 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (459) all_0_5_5 = e1
% 19.09/5.02 | (713) all_0_7_7 = e3
% 19.09/5.02 |
% 19.09/5.02 | Combining equations (713,1125) yields a new equation:
% 19.09/5.02 | (545) e3 = e2
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 545 yields:
% 19.09/5.02 | (483) e3 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (483) can reduce 191 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (537) ~ (all_0_7_7 = e2)
% 19.09/5.02 | (1252) all_0_11_11 = e2 | all_0_19_19 = e2
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (1252), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (266) all_0_11_11 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (266) can reduce 226 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (226) ~ (all_0_11_11 = e2)
% 19.09/5.02 | (367) all_0_19_19 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (367) can reduce 274 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (520) ~ (all_0_1_1 = e2)
% 19.09/5.02 | (1048) all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (1048), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (402) all_0_5_5 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (402) can reduce 238 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (238) ~ (all_0_5_5 = e2)
% 19.09/5.02 | (1052) all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (1052), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (311) all_0_9_9 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (311) can reduce 224 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (224) ~ (all_0_9_9 = e2)
% 19.09/5.02 | (1058) all_0_14_14 = e2 | all_0_17_17 = e2
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (1058), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (387) all_0_14_14 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (387) can reduce 242 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (242) ~ (all_0_14_14 = e2)
% 19.09/5.02 | (288) all_0_17_17 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (288) can reduce 361 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (1961) ~ (all_0_13_13 = e2)
% 19.09/5.02 | (1625) all_0_13_13 = e4
% 19.09/5.02 |
% 19.09/5.02 | Equations (1625) can reduce 127 to:
% 19.09/5.02 | (1168) ~ (all_0_0_0 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Equations (1625) can reduce 123 to:
% 19.09/5.02 | (1964) ~ (all_0_16_16 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 1964 yields:
% 19.09/5.02 | (1965) ~ (all_0_16_16 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Equations (1625) can reduce 1961 to:
% 19.09/5.02 | (205) ~ (e4 = e2)
% 19.09/5.02 |
% 19.09/5.02 | From (1625) and (120) follows:
% 19.09/5.02 | (1469) op(e1, e4) = e4
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (196), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (395) all_0_15_15 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (395) can reduce 230 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (230) ~ (all_0_15_15 = e2)
% 19.09/5.02 | (398) all_0_15_15 = e4 | all_0_15_15 = e3
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (121), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (253) all_0_0_0 = e4
% 19.09/5.02 |
% 19.09/5.02 | Equations (253) can reduce 1168 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (1168) ~ (all_0_0_0 = e4)
% 19.09/5.02 | (326) all_0_0_0 = e0
% 19.09/5.02 |
% 19.09/5.02 | Equations (326) can reduce 110 to:
% 19.09/5.02 | (1976) ~ (all_0_1_1 = e0)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 1976 yields:
% 19.09/5.02 | (320) ~ (all_0_1_1 = e0)
% 19.09/5.02 |
% 19.09/5.02 | Equations (326) can reduce 15 to:
% 19.09/5.02 | (1978) ~ (all_0_4_4 = e0)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 1978 yields:
% 19.09/5.02 | (882) ~ (all_0_4_4 = e0)
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (47), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (252) ~ (all_0_0_0 = e0)
% 19.09/5.02 |
% 19.09/5.02 | Equations (326) can reduce 252 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (326) all_0_0_0 = e0
% 19.09/5.02 | (292) all_0_3_3 = e4
% 19.09/5.02 |
% 19.09/5.02 | Equations (292) can reduce 215 to:
% 19.09/5.02 | (255) ~ (all_0_1_1 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Equations (292) can reduce 208 to:
% 19.09/5.02 | (257) ~ (all_0_2_2 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Equations (292) can reduce 8 to:
% 19.09/5.02 | (1986) ~ (all_0_8_8 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 1986 yields:
% 19.09/5.02 | (299) ~ (all_0_8_8 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Equations (292) can reduce 187 to:
% 19.09/5.02 | (1174) ~ (all_0_12_12 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 1174 yields:
% 19.09/5.02 | (358) ~ (all_0_12_12 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Equations (292) can reduce 212 to:
% 19.09/5.02 | (304) ~ (all_0_20_20 = e4)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 304 yields:
% 19.09/5.02 | (264) ~ (all_0_20_20 = e4)
% 19.09/5.02 |
% 19.09/5.02 | From (292) and (46) follows:
% 19.09/5.02 | (1176) op(e4, e0) = e4
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (87), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (239) all_0_13_13 = e2
% 19.09/5.02 |
% 19.09/5.02 | Combining equations (239,1625) yields a new equation:
% 19.09/5.02 | (297) e4 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (297) can reduce 205 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (1961) ~ (all_0_13_13 = e2)
% 19.09/5.02 | (1997) all_0_14_14 = e2 | all_0_15_15 = e2
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (1997), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (387) all_0_14_14 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (387) can reduce 136 to:
% 19.09/5.02 | (520) ~ (all_0_1_1 = e2)
% 19.09/5.02 |
% 19.09/5.02 | Equations (387) can reduce 88 to:
% 19.09/5.02 | (238) ~ (all_0_5_5 = e2)
% 19.09/5.02 |
% 19.09/5.02 | Equations (387) can reduce 104 to:
% 19.09/5.02 | (1597) ~ (all_0_17_17 = e2)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 1597 yields:
% 19.09/5.02 | (361) ~ (all_0_17_17 = e2)
% 19.09/5.02 |
% 19.09/5.02 | From (387) and (117) follows:
% 19.09/5.02 | (2003) op(e1, e3) = e2
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (60), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (540) all_0_1_1 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (540) can reduce 520 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (520) ~ (all_0_1_1 = e2)
% 19.09/5.02 | (2007) all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e0
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (91), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (391) all_0_14_14 = e3
% 19.09/5.02 |
% 19.09/5.02 | Combining equations (391,387) yields a new equation:
% 19.09/5.02 | (545) e3 = e2
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 545 yields:
% 19.09/5.02 | (483) e3 = e2
% 19.09/5.02 |
% 19.09/5.02 | Equations (483) can reduce 191 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (464) ~ (all_0_14_14 = e3)
% 19.09/5.02 | (462) all_0_15_15 = e3
% 19.09/5.02 |
% 19.09/5.02 | Equations (462) can reduce 151 to:
% 19.09/5.02 | (426) ~ (all_0_6_6 = e3)
% 19.09/5.02 |
% 19.09/5.02 | Equations (462) can reduce 59 to:
% 19.09/5.02 | (467) ~ (all_0_18_18 = e3)
% 19.09/5.02 |
% 19.09/5.02 | Simplifying 467 yields:
% 19.09/5.02 | (468) ~ (all_0_18_18 = e3)
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (2007), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (790) all_0_1_1 = e4
% 19.09/5.02 |
% 19.09/5.02 | Equations (790) can reduce 255 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (255) ~ (all_0_1_1 = e4)
% 19.09/5.02 | (2020) all_0_1_1 = e3 | all_0_1_1 = e0
% 19.09/5.02 |
% 19.09/5.02 +-Applying beta-rule and splitting (2020), into two cases.
% 19.09/5.02 |-Branch one:
% 19.09/5.02 | (331) all_0_1_1 = e0
% 19.09/5.02 |
% 19.09/5.02 | Equations (331) can reduce 320 to:
% 19.09/5.02 | (267) $false
% 19.09/5.02 |
% 19.09/5.02 |-The branch is then unsatisfiable
% 19.09/5.02 |-Branch two:
% 19.09/5.02 | (320) ~ (all_0_1_1 = e0)
% 19.09/5.02 | (804) all_0_1_1 = e3
% 19.09/5.02 |
% 19.09/5.02 | Equations (804) can reduce 190 to:
% 19.09/5.03 | (2025) ~ (all_0_2_2 = e3)
% 19.09/5.03 |
% 19.09/5.03 | Simplifying 2025 yields:
% 19.09/5.03 | (496) ~ (all_0_2_2 = e3)
% 19.34/5.03 |
% 19.34/5.03 | Equations (804) can reduce 118 to:
% 19.34/5.03 | (2027) ~ (all_0_5_5 = e3)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 2027 yields:
% 19.34/5.03 | (392) ~ (all_0_5_5 = e3)
% 19.34/5.03 |
% 19.34/5.03 | Equations (804) can reduce 36 to:
% 19.34/5.03 | (2029) ~ (all_0_17_17 = e3)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 2029 yields:
% 19.34/5.03 | (1858) ~ (all_0_17_17 = e3)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (206), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (374) all_0_12_12 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (374) can reduce 228 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (228) ~ (all_0_12_12 = e2)
% 19.34/5.03 | (1180) all_0_12_12 = e4 | all_0_12_12 = e0
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (128), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (270) all_0_2_2 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (270) can reduce 257 to:
% 19.34/5.03 | (233) ~ (e4 = e2)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 233 yields:
% 19.34/5.03 | (205) ~ (e4 = e2)
% 19.34/5.03 |
% 19.34/5.03 | Equations (270) can reduce 16 to:
% 19.34/5.03 | (134) ~ (e2 = e1)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (1180), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (301) all_0_12_12 = e4
% 19.34/5.03 |
% 19.34/5.03 | Equations (301) can reduce 358 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (358) ~ (all_0_12_12 = e4)
% 19.34/5.03 | (580) all_0_12_12 = e0
% 19.34/5.03 |
% 19.34/5.03 | Equations (580) can reduce 108 to:
% 19.34/5.03 | (1185) ~ (all_0_8_8 = e0)
% 19.34/5.03 |
% 19.34/5.03 | Equations (580) can reduce 30 to:
% 19.34/5.03 | (335) ~ (all_0_20_20 = e0)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 335 yields:
% 19.34/5.03 | (336) ~ (all_0_20_20 = e0)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (135), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (251) ~ (all_0_20_20 = e2)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (100), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (284) all_0_16_16 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (284) can reduce 204 to:
% 19.34/5.03 | (240) ~ (all_0_4_4 = e2)
% 19.34/5.03 |
% 19.34/5.03 | Equations (284) can reduce 115 to:
% 19.34/5.03 | (282) ~ (all_0_20_20 = e2)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 282 yields:
% 19.34/5.03 | (251) ~ (all_0_20_20 = e2)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (218), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (1059) all_0_4_4 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (1059) can reduce 240 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (240) ~ (all_0_4_4 = e2)
% 19.34/5.03 | (1063) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (76), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (1002) all_0_4_4 = e1
% 19.34/5.03 |
% 19.34/5.03 | Equations (1002) can reduce 39 to:
% 19.34/5.03 | (1003) ~ (all_0_5_5 = e1)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 1003 yields:
% 19.34/5.03 | (265) ~ (all_0_5_5 = e1)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (1063), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (402) all_0_5_5 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (402) can reduce 238 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (238) ~ (all_0_5_5 = e2)
% 19.34/5.03 | (1118) all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (184), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (402) all_0_5_5 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (402) can reduce 238 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (238) ~ (all_0_5_5 = e2)
% 19.34/5.03 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (405), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (406) all_0_5_5 = e0
% 19.34/5.03 |
% 19.34/5.03 | Equations (406) can reduce 119 to:
% 19.34/5.03 | (2067) ~ (all_0_17_17 = e0)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 2067 yields:
% 19.34/5.03 | (654) ~ (all_0_17_17 = e0)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (78), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (325) ~ (all_0_20_20 = e3)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (158), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (337) all_0_20_20 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (337) can reduce 251 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (251) ~ (all_0_20_20 = e2)
% 19.34/5.03 | (340) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (340), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (341) all_0_20_20 = e4
% 19.34/5.03 |
% 19.34/5.03 | Equations (341) can reduce 264 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (264) ~ (all_0_20_20 = e4)
% 19.34/5.03 | (344) all_0_20_20 = e3 | all_0_20_20 = e0
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (344), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (345) all_0_20_20 = e0
% 19.34/5.03 |
% 19.34/5.03 | Equations (345) can reduce 336 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (336) ~ (all_0_20_20 = e0)
% 19.34/5.03 | (348) all_0_20_20 = e3
% 19.34/5.03 |
% 19.34/5.03 | Equations (348) can reduce 325 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (348) all_0_20_20 = e3
% 19.34/5.03 | (351) all_0_17_17 = e0
% 19.34/5.03 |
% 19.34/5.03 | Equations (351) can reduce 654 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (422) ~ (all_0_5_5 = e0)
% 19.34/5.03 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (455), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (456) all_0_5_5 = e3
% 19.34/5.03 |
% 19.34/5.03 | Equations (456) can reduce 392 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (392) ~ (all_0_5_5 = e3)
% 19.34/5.03 | (459) all_0_5_5 = e1
% 19.34/5.03 |
% 19.34/5.03 | Equations (459) can reduce 265 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (742) ~ (all_0_4_4 = e1)
% 19.34/5.03 | (741) all_0_16_16 = e1
% 19.34/5.03 |
% 19.34/5.03 | Combining equations (741,284) yields a new equation:
% 19.34/5.03 | (760) e2 = e1
% 19.34/5.03 |
% 19.34/5.03 | Equations (760) can reduce 134 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (246) ~ (all_0_16_16 = e2)
% 19.34/5.03 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (79), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (1059) all_0_4_4 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (1059) can reduce 39 to:
% 19.34/5.03 | (1240) ~ (all_0_5_5 = e2)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 1240 yields:
% 19.34/5.03 | (238) ~ (all_0_5_5 = e2)
% 19.34/5.03 |
% 19.34/5.03 | Equations (1059) can reduce 93 to:
% 19.34/5.03 | (2102) ~ (all_0_8_8 = e2)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 2102 yields:
% 19.34/5.03 | (372) ~ (all_0_8_8 = e2)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (158), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (337) all_0_20_20 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (337) can reduce 251 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (251) ~ (all_0_20_20 = e2)
% 19.34/5.03 | (340) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (340), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (341) all_0_20_20 = e4
% 19.34/5.03 |
% 19.34/5.03 | Equations (341) can reduce 264 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (264) ~ (all_0_20_20 = e4)
% 19.34/5.03 | (344) all_0_20_20 = e3 | all_0_20_20 = e0
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (344), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (345) all_0_20_20 = e0
% 19.34/5.03 |
% 19.34/5.03 | Equations (345) can reduce 336 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (336) ~ (all_0_20_20 = e0)
% 19.34/5.03 | (348) all_0_20_20 = e3
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (78), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (325) ~ (all_0_20_20 = e3)
% 19.34/5.03 |
% 19.34/5.03 | Equations (348) can reduce 325 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (348) all_0_20_20 = e3
% 19.34/5.03 | (351) all_0_17_17 = e0
% 19.34/5.03 |
% 19.34/5.03 | Equations (351) can reduce 119 to:
% 19.34/5.03 | (422) ~ (all_0_5_5 = e0)
% 19.34/5.03 |
% 19.34/5.03 | Equations (351) can reduce 137 to:
% 19.34/5.03 | (593) ~ (all_0_18_18 = e0)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 593 yields:
% 19.34/5.03 | (570) ~ (all_0_18_18 = e0)
% 19.34/5.03 |
% 19.34/5.03 | Equations (351) can reduce 361 to:
% 19.34/5.03 | (323) ~ (e2 = e0)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 323 yields:
% 19.34/5.03 | (45) ~ (e2 = e0)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (184), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (402) all_0_5_5 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (402) can reduce 238 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (238) ~ (all_0_5_5 = e2)
% 19.34/5.03 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (405), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (406) all_0_5_5 = e0
% 19.34/5.03 |
% 19.34/5.03 | Equations (406) can reduce 422 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (422) ~ (all_0_5_5 = e0)
% 19.34/5.03 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (455), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (456) all_0_5_5 = e3
% 19.34/5.03 |
% 19.34/5.03 | Equations (456) can reduce 392 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (392) ~ (all_0_5_5 = e3)
% 19.34/5.03 | (459) all_0_5_5 = e1
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (77), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (281) all_0_8_8 = e2
% 19.34/5.03 |
% 19.34/5.03 | Equations (281) can reduce 372 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (372) ~ (all_0_8_8 = e2)
% 19.34/5.03 | (2140) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e0
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (125), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (265) ~ (all_0_5_5 = e1)
% 19.34/5.03 |
% 19.34/5.03 | Equations (459) can reduce 265 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (459) all_0_5_5 = e1
% 19.34/5.03 | (713) all_0_7_7 = e3
% 19.34/5.03 |
% 19.34/5.03 | Equations (713) can reduce 49 to:
% 19.34/5.03 | (723) ~ (all_0_8_8 = e3)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 723 yields:
% 19.34/5.03 | (724) ~ (all_0_8_8 = e3)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (40), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (411) all_0_6_6 = e0
% 19.34/5.03 |
% 19.34/5.03 | Equations (411) can reduce 138 to:
% 19.34/5.03 | (2148) ~ (all_0_8_8 = e0)
% 19.34/5.03 |
% 19.34/5.03 | Simplifying 2148 yields:
% 19.34/5.03 | (1185) ~ (all_0_8_8 = e0)
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (2140), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (296) all_0_8_8 = e4
% 19.34/5.03 |
% 19.34/5.03 | Equations (296) can reduce 299 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (299) ~ (all_0_8_8 = e4)
% 19.34/5.03 | (2153) all_0_8_8 = e3 | all_0_8_8 = e0
% 19.34/5.03 |
% 19.34/5.03 +-Applying beta-rule and splitting (2153), into two cases.
% 19.34/5.03 |-Branch one:
% 19.34/5.03 | (2154) all_0_8_8 = e0
% 19.34/5.03 |
% 19.34/5.03 | Equations (2154) can reduce 1185 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (1185) ~ (all_0_8_8 = e0)
% 19.34/5.03 | (425) all_0_8_8 = e3
% 19.34/5.03 |
% 19.34/5.03 | Equations (425) can reduce 724 to:
% 19.34/5.03 | (267) $false
% 19.34/5.03 |
% 19.34/5.03 |-The branch is then unsatisfiable
% 19.34/5.03 |-Branch two:
% 19.34/5.03 | (408) ~ (all_0_6_6 = e0)
% 19.34/5.03 | (414) all_0_10_10 = e0 | all_0_18_18 = e0
% 19.34/5.03 |
% 19.34/5.04 +-Applying beta-rule and splitting (64), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (785) all_0_4_4 = e0
% 19.34/5.04 |
% 19.34/5.04 | Combining equations (1059,785) yields a new equation:
% 19.34/5.04 | (352) e2 = e0
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 352 yields:
% 19.34/5.04 | (353) e2 = e0
% 19.34/5.04 |
% 19.34/5.04 | Equations (353) can reduce 45 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (882) ~ (all_0_4_4 = e0)
% 19.34/5.04 | (2166) all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 19.34/5.04 |
% 19.34/5.04 | Equations (1059) can reduce 882 to:
% 19.34/5.04 | (45) ~ (e2 = e0)
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (414), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (415) all_0_10_10 = e0
% 19.34/5.04 |
% 19.34/5.04 | Combining equations (222,415) yields a new equation:
% 19.34/5.04 | (352) e2 = e0
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 352 yields:
% 19.34/5.04 | (353) e2 = e0
% 19.34/5.04 |
% 19.34/5.04 | Equations (353) can reduce 45 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (221) ~ (all_0_10_10 = e0)
% 19.34/5.04 | (420) all_0_18_18 = e0
% 19.34/5.04 |
% 19.34/5.04 | Equations (420) can reduce 570 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (240) ~ (all_0_4_4 = e2)
% 19.34/5.04 | (2176) all_0_13_13 = e2 | all_0_16_16 = e2
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (214), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (284) all_0_16_16 = e2
% 19.34/5.04 |
% 19.34/5.04 | Equations (284) can reduce 246 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (246) ~ (all_0_16_16 = e2)
% 19.34/5.04 | (2180) all_0_16_16 = e4 | all_0_16_16 = e1 | all_0_16_16 = e0
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (116), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (277) all_0_3_3 = e2
% 19.34/5.04 |
% 19.34/5.04 | Combining equations (277,292) yields a new equation:
% 19.34/5.04 | (297) e4 = e2
% 19.34/5.04 |
% 19.34/5.04 | Equations (297) can reduce 205 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (272) ~ (all_0_3_3 = e2)
% 19.34/5.04 | (280) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_20_20 = e2
% 19.34/5.04 |
% 19.34/5.04 | Equations (292) can reduce 272 to:
% 19.34/5.04 | (205) ~ (e4 = e2)
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (2176), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (239) all_0_13_13 = e2
% 19.34/5.04 |
% 19.34/5.04 | Combining equations (239,1625) yields a new equation:
% 19.34/5.04 | (297) e4 = e2
% 19.34/5.04 |
% 19.34/5.04 | Equations (297) can reduce 205 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (1961) ~ (all_0_13_13 = e2)
% 19.34/5.04 | (284) all_0_16_16 = e2
% 19.34/5.04 |
% 19.34/5.04 | Equations (284) can reduce 246 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (337) all_0_20_20 = e2
% 19.34/5.04 | (420) all_0_18_18 = e0
% 19.34/5.04 |
% 19.34/5.04 | Equations (420) can reduce 155 to:
% 19.34/5.04 | (408) ~ (all_0_6_6 = e0)
% 19.34/5.04 |
% 19.34/5.04 | Equations (337) can reduce 115 to:
% 19.34/5.04 | (246) ~ (all_0_16_16 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Equations (420) can reduce 137 to:
% 19.34/5.04 | (654) ~ (all_0_17_17 = e0)
% 19.34/5.04 |
% 19.34/5.04 | Equations (337) can reduce 26 to:
% 19.34/5.04 | (361) ~ (all_0_17_17 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Equations (420) can reduce 468 to:
% 19.34/5.04 | (996) ~ (e3 = e0)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 996 yields:
% 19.34/5.04 | (61) ~ (e3 = e0)
% 19.34/5.04 |
% 19.34/5.04 | Equations (337) can reduce 264 to:
% 19.34/5.04 | (233) ~ (e4 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 233 yields:
% 19.34/5.04 | (205) ~ (e4 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Equations (337) can reduce 29 to:
% 19.34/5.04 | (134) ~ (e2 = e1)
% 19.34/5.04 |
% 19.34/5.04 | From (337) and (96) follows:
% 19.34/5.04 | (2204) op(e0, e0) = e2
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (180), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (437) all_0_6_6 = e2
% 19.34/5.04 |
% 19.34/5.04 | Equations (437) can reduce 223 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (223) ~ (all_0_6_6 = e2)
% 19.34/5.04 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (79), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (1059) all_0_4_4 = e2
% 19.34/5.04 |
% 19.34/5.04 | Equations (1059) can reduce 99 to:
% 19.34/5.04 | (2210) ~ (all_0_6_6 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 2210 yields:
% 19.34/5.04 | (223) ~ (all_0_6_6 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Equations (1059) can reduce 204 to:
% 19.34/5.04 | (245) ~ (all_0_16_16 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 245 yields:
% 19.34/5.04 | (246) ~ (all_0_16_16 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Equations (1059) can reduce 28 to:
% 19.34/5.04 | (235) ~ (e3 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 235 yields:
% 19.34/5.04 | (191) ~ (e3 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Equations (1059) can reduce 882 to:
% 19.34/5.04 | (45) ~ (e2 = e0)
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (440), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (431) all_0_6_6 = e4
% 19.34/5.04 |
% 19.34/5.04 | Equations (431) can reduce 23 to:
% 19.34/5.04 | (2218) ~ (all_0_7_7 = e4)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 2218 yields:
% 19.34/5.04 | (450) ~ (all_0_7_7 = e4)
% 19.34/5.04 |
% 19.34/5.04 | Equations (431) can reduce 138 to:
% 19.34/5.04 | (1986) ~ (all_0_8_8 = e4)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 1986 yields:
% 19.34/5.04 | (299) ~ (all_0_8_8 = e4)
% 19.34/5.04 |
% 19.34/5.04 | Equations (431) can reduce 426 to:
% 19.34/5.04 | (24) ~ (e4 = e3)
% 19.34/5.04 |
% 19.34/5.04 | Equations (431) can reduce 223 to:
% 19.34/5.04 | (205) ~ (e4 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Equations (431) can reduce 408 to:
% 19.34/5.04 | (7) ~ (e4 = e0)
% 19.34/5.04 |
% 19.34/5.04 | From (431) and (89) follows:
% 19.34/5.04 | (1692) op(e3, e2) = e4
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (214), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (284) all_0_16_16 = e2
% 19.34/5.04 |
% 19.34/5.04 | Equations (284) can reduce 246 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (246) ~ (all_0_16_16 = e2)
% 19.34/5.04 | (2180) all_0_16_16 = e4 | all_0_16_16 = e1 | all_0_16_16 = e0
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (76), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (1002) all_0_4_4 = e1
% 19.34/5.04 |
% 19.34/5.04 | Combining equations (1002,1059) yields a new equation:
% 19.34/5.04 | (760) e2 = e1
% 19.34/5.04 |
% 19.34/5.04 | Equations (760) can reduce 134 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (742) ~ (all_0_4_4 = e1)
% 19.34/5.04 | (741) all_0_16_16 = e1
% 19.34/5.04 |
% 19.34/5.04 | Equations (741) can reduce 107 to:
% 19.34/5.04 | (719) ~ (all_0_17_17 = e1)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 719 yields:
% 19.34/5.04 | (720) ~ (all_0_17_17 = e1)
% 19.34/5.04 |
% 19.34/5.04 | Equations (741) can reduce 1965 to:
% 19.34/5.04 | (721) ~ (e4 = e1)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 721 yields:
% 19.34/5.04 | (217) ~ (e4 = e1)
% 19.34/5.04 |
% 19.34/5.04 | Equations (741) can reduce 246 to:
% 19.34/5.04 | (1005) ~ (e2 = e1)
% 19.34/5.04 |
% 19.34/5.04 | Simplifying 1005 yields:
% 19.34/5.04 | (134) ~ (e2 = e1)
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (160), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (672) all_0_3_3 = e3
% 19.34/5.04 |
% 19.34/5.04 | Combining equations (672,292) yields a new equation:
% 19.34/5.04 | (452) e4 = e3
% 19.34/5.04 |
% 19.34/5.04 | Equations (452) can reduce 24 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (386) ~ (all_0_3_3 = e3)
% 19.34/5.04 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 19.34/5.04 |
% 19.34/5.04 | Equations (292) can reduce 386 to:
% 19.34/5.04 | (24) ~ (e4 = e3)
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (143), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (842) all_0_17_17 = e3
% 19.34/5.04 |
% 19.34/5.04 | Equations (842) can reduce 1858 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (1858) ~ (all_0_17_17 = e3)
% 19.34/5.04 | (2250) all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (2250), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (679) all_0_18_18 = e3
% 19.34/5.04 |
% 19.34/5.04 | Combining equations (420,679) yields a new equation:
% 19.34/5.04 | (1103) e3 = e0
% 19.34/5.04 |
% 19.34/5.04 | Equations (1103) can reduce 61 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (468) ~ (all_0_18_18 = e3)
% 19.34/5.04 | (2255) all_0_19_19 = e3 | all_0_20_20 = e3
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (2255), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (1081) all_0_19_19 = e3
% 19.34/5.04 |
% 19.34/5.04 | Equations (1081) can reduce 48 to:
% 19.34/5.04 | (1269) ~ (all_0_7_7 = e3)
% 19.34/5.04 |
% 19.34/5.04 | Equations (1081) can reduce 6 to:
% 19.34/5.04 | (1858) ~ (all_0_17_17 = e3)
% 19.34/5.04 |
% 19.34/5.04 | From (1081) and (209) follows:
% 19.34/5.04 | (2259) op(e0, e1) = e3
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (159), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (1629) all_0_16_16 = e4
% 19.34/5.04 |
% 19.34/5.04 | Combining equations (741,1629) yields a new equation:
% 19.34/5.04 | (934) e4 = e1
% 19.34/5.04 |
% 19.34/5.04 | Equations (934) can reduce 217 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (1965) ~ (all_0_16_16 = e4)
% 19.34/5.04 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (2264), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (846) all_0_17_17 = e4
% 19.34/5.04 |
% 19.34/5.04 | Equations (846) can reduce 1858 to:
% 19.34/5.04 | (24) ~ (e4 = e3)
% 19.34/5.04 |
% 19.34/5.04 | Equations (846) can reduce 361 to:
% 19.34/5.04 | (205) ~ (e4 = e2)
% 19.34/5.04 |
% 19.34/5.04 | Equations (846) can reduce 720 to:
% 19.34/5.04 | (217) ~ (e4 = e1)
% 19.34/5.04 |
% 19.34/5.04 | Equations (846) can reduce 654 to:
% 19.34/5.04 | (7) ~ (e4 = e0)
% 19.34/5.04 |
% 19.34/5.04 | From (846) and (14) follows:
% 19.34/5.04 | (2270) op(e0, e3) = e4
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (192), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (456) all_0_5_5 = e3
% 19.34/5.04 |
% 19.34/5.04 | Equations (456) can reduce 392 to:
% 19.34/5.04 | (267) $false
% 19.34/5.04 |
% 19.34/5.04 |-The branch is then unsatisfiable
% 19.34/5.04 |-Branch two:
% 19.34/5.04 | (392) ~ (all_0_5_5 = e3)
% 19.34/5.04 | (1529) all_0_6_6 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 19.34/5.04 |
% 19.34/5.04 +-Applying beta-rule and splitting (1529), into two cases.
% 19.34/5.04 |-Branch one:
% 19.34/5.04 | (448) all_0_6_6 = e3
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (431,448) yields a new equation:
% 19.34/5.05 | (620) e4 = e3
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 620 yields:
% 19.34/5.05 | (452) e4 = e3
% 19.34/5.05 |
% 19.34/5.05 | Equations (452) can reduce 24 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (426) ~ (all_0_6_6 = e3)
% 19.34/5.05 | (2280) all_0_7_7 = e3 | all_0_8_8 = e3
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (2280), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (713) all_0_7_7 = e3
% 19.34/5.05 |
% 19.34/5.05 | Equations (713) can reduce 1269 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (1269) ~ (all_0_7_7 = e3)
% 19.34/5.05 | (425) all_0_8_8 = e3
% 19.34/5.05 |
% 19.34/5.05 | Equations (425) can reduce 49 to:
% 19.34/5.05 | (1269) ~ (all_0_7_7 = e3)
% 19.34/5.05 |
% 19.34/5.05 | Equations (425) can reduce 299 to:
% 19.34/5.05 | (807) ~ (e4 = e3)
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 807 yields:
% 19.34/5.05 | (24) ~ (e4 = e3)
% 19.34/5.05 |
% 19.34/5.05 | Equations (425) can reduce 1185 to:
% 19.34/5.05 | (61) ~ (e3 = e0)
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (64), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (785) all_0_4_4 = e0
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (1059,785) yields a new equation:
% 19.34/5.05 | (352) e2 = e0
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 352 yields:
% 19.34/5.05 | (353) e2 = e0
% 19.34/5.05 |
% 19.34/5.05 | Equations (353) can reduce 45 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (882) ~ (all_0_4_4 = e0)
% 19.34/5.05 | (2166) all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (211), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (381) all_0_2_2 = e4
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (270,381) yields a new equation:
% 19.34/5.05 | (297) e4 = e2
% 19.34/5.05 |
% 19.34/5.05 | Equations (297) can reduce 205 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (257) ~ (all_0_2_2 = e4)
% 19.34/5.05 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (2166), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (406) all_0_5_5 = e0
% 19.34/5.05 |
% 19.34/5.05 | Equations (406) can reduce 55 to:
% 19.34/5.05 | (2301) ~ (all_0_7_7 = e0)
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 2301 yields:
% 19.34/5.05 | (4) ~ (all_0_7_7 = e0)
% 19.34/5.05 |
% 19.34/5.05 | Equations (406) can reduce 2 to:
% 19.34/5.05 | (853) ~ (all_0_9_9 = e0)
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 853 yields:
% 19.34/5.05 | (355) ~ (all_0_9_9 = e0)
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (624), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (435) all_0_7_7 = e4
% 19.34/5.05 |
% 19.34/5.05 | Equations (435) can reduce 450 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (450) ~ (all_0_7_7 = e4)
% 19.34/5.05 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (628), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (306) all_0_11_11 = e4
% 19.34/5.05 |
% 19.34/5.05 | From (306) and (162) follows:
% 19.34/5.05 | (1669) op(e2, e1) = e4
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (175), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (1002) all_0_4_4 = e1
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (1002,1059) yields a new equation:
% 19.34/5.05 | (760) e2 = e1
% 19.34/5.05 |
% 19.34/5.05 | Equations (760) can reduce 134 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (742) ~ (all_0_4_4 = e1)
% 19.34/5.05 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (63), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (356) all_0_9_9 = e1
% 19.34/5.05 |
% 19.34/5.05 | Equations (356) can reduce 355 to:
% 19.34/5.05 | (131) ~ (e1 = e0)
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (1292), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (459) all_0_5_5 = e1
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (406,459) yields a new equation:
% 19.34/5.05 | (871) e1 = e0
% 19.34/5.05 |
% 19.34/5.05 | Equations (871) can reduce 131 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (265) ~ (all_0_5_5 = e1)
% 19.34/5.05 | (1385) all_0_7_7 = e1
% 19.34/5.05 |
% 19.34/5.05 | Equations (1385) can reduce 1269 to:
% 19.34/5.05 | (743) ~ (e3 = e1)
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 743 yields:
% 19.34/5.05 | (133) ~ (e3 = e1)
% 19.34/5.05 |
% 19.34/5.05 | Equations (1385) can reduce 4 to:
% 19.34/5.05 | (131) ~ (e1 = e0)
% 19.34/5.05 |
% 19.34/5.05 | From (1385) and (144) follows:
% 19.34/5.05 | (1388) op(e3, e1) = e1
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (54), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (1420) unit = e2
% 19.34/5.05 |
% 19.34/5.05 | From (1420) and (52) follows:
% 19.34/5.05 | (1421) op(e2, e4) = e4
% 19.34/5.05 |
% 19.34/5.05 | From (1420) and (130) follows:
% 19.34/5.05 | (1816) op(e2, e1) = e1
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 19.34/5.05 | (452) e4 = e3
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e2, e1, e1, e4 and discharging atoms op(e2, e1) = e4, op(e2, e1) = e1, yields:
% 19.34/5.05 | (934) e4 = e1
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (934,452) yields a new equation:
% 19.34/5.05 | (833) e3 = e1
% 19.34/5.05 |
% 19.34/5.05 | Equations (833) can reduce 133 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (1432) ~ (unit = e2)
% 19.34/5.05 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (1433), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (1434) unit = e4
% 19.34/5.05 |
% 19.34/5.05 | From (1434) and (42) follows:
% 19.34/5.05 | (1436) op(e4, e0) = e0
% 19.34/5.05 |
% 19.34/5.05 | From (1434) and (146) follows:
% 19.34/5.05 | (2338) op(e1, e4) = e1
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 19.34/5.05 | (327) e4 = e0
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 19.34/5.05 | (934) e4 = e1
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (934,327) yields a new equation:
% 19.34/5.05 | (1156) e1 = e0
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 1156 yields:
% 19.34/5.05 | (871) e1 = e0
% 19.34/5.05 |
% 19.34/5.05 | Equations (871) can reduce 131 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (1449) ~ (unit = e4)
% 19.34/5.05 | (1450) unit = e3 | unit = e1 | unit = e0
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (1450), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (1451) unit = e0
% 19.34/5.05 |
% 19.34/5.05 | Equations (1451) can reduce 1432 to:
% 19.34/5.05 | (323) ~ (e2 = e0)
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 323 yields:
% 19.34/5.05 | (45) ~ (e2 = e0)
% 19.34/5.05 |
% 19.34/5.05 | From (1451) and (220) follows:
% 19.34/5.05 | (2349) op(e0, e0) = e0
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields:
% 19.34/5.05 | (353) e2 = e0
% 19.34/5.05 |
% 19.34/5.05 | Equations (353) can reduce 45 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (564) ~ (unit = e0)
% 19.34/5.05 | (1454) unit = e3 | unit = e1
% 19.34/5.05 |
% 19.34/5.05 +-Applying beta-rule and splitting (1454), into two cases.
% 19.34/5.05 |-Branch one:
% 19.34/5.05 | (1455) unit = e3
% 19.34/5.05 |
% 19.34/5.05 | From (1455) and (153) follows:
% 19.34/5.05 | (1838) op(e3, e2) = e2
% 19.34/5.05 |
% 19.34/5.05 | From (1455) and (146) follows:
% 19.34/5.05 | (1458) op(e1, e3) = e1
% 19.34/5.05 |
% 19.34/5.05 | From (1455) and (220) follows:
% 19.34/5.05 | (2357) op(e0, e3) = e0
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 19.34/5.05 | (297) e4 = e2
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields:
% 19.34/5.05 | (760) e2 = e1
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields:
% 19.34/5.05 | (327) e4 = e0
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (297,327) yields a new equation:
% 19.34/5.05 | (352) e2 = e0
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 352 yields:
% 19.34/5.05 | (353) e2 = e0
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (760,353) yields a new equation:
% 19.34/5.05 | (1156) e1 = e0
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 1156 yields:
% 19.34/5.05 | (871) e1 = e0
% 19.34/5.05 |
% 19.34/5.05 | Equations (871) can reduce 131 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (493) ~ (unit = e3)
% 19.34/5.05 | (1467) unit = e1
% 19.34/5.05 |
% 19.34/5.05 | Equations (1467) can reduce 564 to:
% 19.34/5.05 | (131) ~ (e1 = e0)
% 19.34/5.05 |
% 19.34/5.05 | From (1467) and (112) follows:
% 19.34/5.05 | (1471) op(e3, e1) = e3
% 19.34/5.05 |
% 19.34/5.05 | From (1467) and (220) follows:
% 19.34/5.05 | (1472) op(e0, e1) = e0
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 19.34/5.05 | (833) e3 = e1
% 19.34/5.05 |
% 19.34/5.05 | Instantiating formula (178) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 19.34/5.05 | (1103) e3 = e0
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (833,1103) yields a new equation:
% 19.34/5.05 | (1156) e1 = e0
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 1156 yields:
% 19.34/5.05 | (871) e1 = e0
% 19.34/5.05 |
% 19.34/5.05 | Equations (871) can reduce 131 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.05 |-Branch two:
% 19.34/5.05 | (310) ~ (all_0_9_9 = e1)
% 19.34/5.05 | (309) all_0_11_11 = e1
% 19.34/5.05 |
% 19.34/5.05 | Combining equations (306,309) yields a new equation:
% 19.34/5.05 | (1500) e4 = e1
% 19.34/5.05 |
% 19.34/5.05 | Simplifying 1500 yields:
% 19.34/5.05 | (934) e4 = e1
% 19.34/5.05 |
% 19.34/5.05 | Equations (934) can reduce 217 to:
% 19.34/5.05 | (267) $false
% 19.34/5.05 |
% 19.34/5.05 |-The branch is then unsatisfiable
% 19.34/5.06 |-Branch two:
% 19.34/5.06 | (303) ~ (all_0_11_11 = e4)
% 19.34/5.06 | (644) all_0_19_19 = e4
% 19.34/5.06 |
% 19.34/5.06 | Combining equations (644,1081) yields a new equation:
% 19.34/5.06 | (620) e4 = e3
% 19.34/5.06 |
% 19.34/5.06 | Simplifying 620 yields:
% 19.34/5.06 | (452) e4 = e3
% 19.34/5.06 |
% 19.34/5.06 | Equations (452) can reduce 24 to:
% 19.34/5.06 | (267) $false
% 19.34/5.06 |
% 19.34/5.06 |-The branch is then unsatisfiable
% 19.34/5.06 |-Branch two:
% 19.34/5.06 | (422) ~ (all_0_5_5 = e0)
% 19.34/5.06 | (2387) all_0_6_6 = e0 | all_0_8_8 = e0
% 19.34/5.06 |
% 19.34/5.06 +-Applying beta-rule and splitting (2387), into two cases.
% 19.34/5.06 |-Branch one:
% 19.34/5.06 | (411) all_0_6_6 = e0
% 19.34/5.06 |
% 19.34/5.06 | Combining equations (431,411) yields a new equation:
% 19.34/5.06 | (657) e4 = e0
% 19.34/5.06 |
% 19.34/5.06 | Simplifying 657 yields:
% 19.34/5.06 | (327) e4 = e0
% 19.34/5.06 |
% 19.34/5.06 | Equations (327) can reduce 7 to:
% 19.34/5.06 | (267) $false
% 19.34/5.06 |
% 19.34/5.06 |-The branch is then unsatisfiable
% 19.34/5.06 |-Branch two:
% 19.34/5.06 | (408) ~ (all_0_6_6 = e0)
% 19.34/5.06 | (2154) all_0_8_8 = e0
% 19.34/5.06 |
% 19.34/5.06 | Combining equations (425,2154) yields a new equation:
% 19.34/5.06 | (1102) e3 = e0
% 19.34/5.06 |
% 19.34/5.06 | Simplifying 1102 yields:
% 19.34/5.06 | (1103) e3 = e0
% 19.34/5.06 |
% 19.34/5.06 | Equations (1103) can reduce 61 to:
% 19.34/5.06 | (267) $false
% 19.34/5.06 |
% 19.34/5.06 |-The branch is then unsatisfiable
% 19.34/5.06 |-Branch two:
% 19.34/5.06 | (510) ~ (all_0_17_17 = e4)
% 19.34/5.06 | (2398) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 19.34/5.06 |
% 19.34/5.06 +-Applying beta-rule and splitting (2398), into two cases.
% 19.34/5.06 |-Branch one:
% 19.34/5.06 | (599) all_0_18_18 = e4
% 19.34/5.06 |
% 19.34/5.06 | Combining equations (599,420) yields a new equation:
% 19.34/5.06 | (657) e4 = e0
% 19.34/5.06 |
% 19.34/5.06 | Simplifying 657 yields:
% 19.34/5.06 | (327) e4 = e0
% 19.34/5.06 |
% 19.34/5.06 | Equations (327) can reduce 7 to:
% 19.34/5.06 | (267) $false
% 19.34/5.06 |
% 19.34/5.06 |-The branch is then unsatisfiable
% 19.34/5.06 |-Branch two:
% 19.34/5.06 | (674) ~ (all_0_18_18 = e4)
% 19.34/5.06 | (2404) all_0_19_19 = e4 | all_0_20_20 = e4
% 19.34/5.06 |
% 19.34/5.06 +-Applying beta-rule and splitting (2404), into two cases.
% 19.34/5.06 |-Branch one:
% 19.34/5.06 | (644) all_0_19_19 = e4
% 19.34/5.06 |
% 19.34/5.06 | Combining equations (1081,644) yields a new equation:
% 19.34/5.06 | (452) e4 = e3
% 19.34/5.06 |
% 19.34/5.06 | Equations (452) can reduce 24 to:
% 19.34/5.06 | (267) $false
% 19.34/5.06 |
% 19.34/5.06 |-The branch is then unsatisfiable
% 19.34/5.06 |-Branch two:
% 19.34/5.06 | (602) ~ (all_0_19_19 = e4)
% 19.34/5.06 | (341) all_0_20_20 = e4
% 19.34/5.06 |
% 19.34/5.06 | Combining equations (341,337) yields a new equation:
% 19.34/5.06 | (847) e4 = e2
% 19.34/5.06 |
% 19.34/5.06 | Simplifying 847 yields:
% 19.34/5.06 | (297) e4 = e2
% 19.34/5.06 |
% 19.34/5.06 | Equations (297) can reduce 205 to:
% 19.34/5.06 | (267) $false
% 19.34/5.06 |
% 19.34/5.06 |-The branch is then unsatisfiable
% 19.34/5.06 |-Branch two:
% 19.34/5.06 | (968) ~ (all_0_19_19 = e3)
% 19.34/5.06 | (348) all_0_20_20 = e3
% 19.34/5.06 |
% 19.34/5.06 | Combining equations (337,348) yields a new equation:
% 19.34/5.06 | (483) e3 = e2
% 19.34/5.06 |
% 19.34/5.06 | Equations (483) can reduce 191 to:
% 19.34/5.06 | (267) $false
% 19.34/5.06 |
% 19.34/5.06 |-The branch is then unsatisfiable
% 19.34/5.06 |-Branch two:
% 19.34/5.06 | (400) ~ (all_0_6_6 = e4)
% 19.34/5.06 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 19.34/5.06 |
% 19.34/5.06 +-Applying beta-rule and splitting (444), into two cases.
% 19.34/5.06 |-Branch one:
% 19.34/5.06 | (411) all_0_6_6 = e0
% 19.34/5.06 |
% 19.34/5.06 | Equations (411) can reduce 408 to:
% 19.34/5.06 | (267) $false
% 19.34/5.06 |
% 19.34/5.06 |-The branch is then unsatisfiable
% 19.34/5.06 |-Branch two:
% 19.34/5.06 | (408) ~ (all_0_6_6 = e0)
% 19.47/5.06 | (448) all_0_6_6 = e3
% 19.47/5.06 |
% 19.47/5.06 | Equations (448) can reduce 426 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (240) ~ (all_0_4_4 = e2)
% 19.47/5.06 | (2176) all_0_13_13 = e2 | all_0_16_16 = e2
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (2176), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (239) all_0_13_13 = e2
% 19.47/5.06 |
% 19.47/5.06 | Combining equations (1625,239) yields a new equation:
% 19.47/5.06 | (847) e4 = e2
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 847 yields:
% 19.47/5.06 | (297) e4 = e2
% 19.47/5.06 |
% 19.47/5.06 | Equations (297) can reduce 205 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (1961) ~ (all_0_13_13 = e2)
% 19.47/5.06 | (284) all_0_16_16 = e2
% 19.47/5.06 |
% 19.47/5.06 | Equations (284) can reduce 246 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (379) ~ (all_0_2_2 = e2)
% 19.47/5.06 | (380) all_0_2_2 = e4 | all_0_2_2 = e3
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (380), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (381) all_0_2_2 = e4
% 19.47/5.06 |
% 19.47/5.06 | Equations (381) can reduce 257 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (257) ~ (all_0_2_2 = e4)
% 19.47/5.06 | (384) all_0_2_2 = e3
% 19.47/5.06 |
% 19.47/5.06 | Equations (384) can reduce 496 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (242) ~ (all_0_14_14 = e2)
% 19.47/5.06 | (395) all_0_15_15 = e2
% 19.47/5.06 |
% 19.47/5.06 | Equations (395) can reduce 230 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (402) all_0_5_5 = e2
% 19.47/5.06 | (448) all_0_6_6 = e3
% 19.47/5.06 |
% 19.47/5.06 | Equations (402) can reduce 118 to:
% 19.47/5.06 | (520) ~ (all_0_1_1 = e2)
% 19.47/5.06 |
% 19.47/5.06 | Equations (448) can reduce 99 to:
% 19.47/5.06 | (28) ~ (all_0_4_4 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Equations (402) can reduce 66 to:
% 19.47/5.06 | (2102) ~ (all_0_8_8 = e2)
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 2102 yields:
% 19.47/5.06 | (372) ~ (all_0_8_8 = e2)
% 19.47/5.06 |
% 19.47/5.06 | Equations (402) can reduce 2 to:
% 19.47/5.06 | (1593) ~ (all_0_9_9 = e2)
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 1593 yields:
% 19.47/5.06 | (224) ~ (all_0_9_9 = e2)
% 19.47/5.06 |
% 19.47/5.06 | Equations (448) can reduce 151 to:
% 19.47/5.06 | (393) ~ (all_0_15_15 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 393 yields:
% 19.47/5.06 | (394) ~ (all_0_15_15 = e3)
% 19.47/5.06 |
% 19.47/5.06 | From (448) and (89) follows:
% 19.47/5.06 | (2453) op(e3, e2) = e3
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (196), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (395) all_0_15_15 = e2
% 19.47/5.06 |
% 19.47/5.06 | Equations (395) can reduce 230 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (230) ~ (all_0_15_15 = e2)
% 19.47/5.06 | (398) all_0_15_15 = e4 | all_0_15_15 = e3
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (40), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (411) all_0_6_6 = e0
% 19.47/5.06 |
% 19.47/5.06 | Combining equations (448,411) yields a new equation:
% 19.47/5.06 | (1102) e3 = e0
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 1102 yields:
% 19.47/5.06 | (1103) e3 = e0
% 19.47/5.06 |
% 19.47/5.06 | Equations (1103) can reduce 61 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (408) ~ (all_0_6_6 = e0)
% 19.47/5.06 | (414) all_0_10_10 = e0 | all_0_18_18 = e0
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (414), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (415) all_0_10_10 = e0
% 19.47/5.06 |
% 19.47/5.06 | Combining equations (415,222) yields a new equation:
% 19.47/5.06 | (353) e2 = e0
% 19.47/5.06 |
% 19.47/5.06 | Equations (353) can reduce 45 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (221) ~ (all_0_10_10 = e0)
% 19.47/5.06 | (420) all_0_18_18 = e0
% 19.47/5.06 |
% 19.47/5.06 | Equations (420) can reduce 161 to:
% 19.47/5.06 | (587) ~ (all_0_16_16 = e0)
% 19.47/5.06 |
% 19.47/5.06 | Equations (420) can reduce 137 to:
% 19.47/5.06 | (654) ~ (all_0_17_17 = e0)
% 19.47/5.06 |
% 19.47/5.06 | Equations (420) can reduce 18 to:
% 19.47/5.06 | (335) ~ (all_0_20_20 = e0)
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 335 yields:
% 19.47/5.06 | (336) ~ (all_0_20_20 = e0)
% 19.47/5.06 |
% 19.47/5.06 | Equations (420) can reduce 17 to:
% 19.47/5.06 | (788) ~ (e1 = e0)
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 788 yields:
% 19.47/5.06 | (131) ~ (e1 = e0)
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (176), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (264) ~ (all_0_20_20 = e4)
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (398), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (399) all_0_15_15 = e4
% 19.47/5.06 |
% 19.47/5.06 | Equations (399) can reduce 82 to:
% 19.47/5.06 | (1628) ~ (all_0_13_13 = e4)
% 19.47/5.06 |
% 19.47/5.06 | Equations (399) can reduce 38 to:
% 19.47/5.06 | (514) ~ (all_0_14_14 = e4)
% 19.47/5.06 |
% 19.47/5.06 | Equations (399) can reduce 394 to:
% 19.47/5.06 | (24) ~ (e4 = e3)
% 19.47/5.06 |
% 19.47/5.06 | From (399) and (83) follows:
% 19.47/5.06 | (2480) op(e1, e2) = e4
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (27), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (239) all_0_13_13 = e2
% 19.47/5.06 |
% 19.47/5.06 | Equations (239) can reduce 21 to:
% 19.47/5.06 | (241) ~ (all_0_14_14 = e2)
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 241 yields:
% 19.47/5.06 | (242) ~ (all_0_14_14 = e2)
% 19.47/5.06 |
% 19.47/5.06 | From (239) and (120) follows:
% 19.47/5.06 | (250) op(e1, e4) = e2
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (91), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (391) all_0_14_14 = e3
% 19.47/5.06 |
% 19.47/5.06 | Equations (391) can reduce 136 to:
% 19.47/5.06 | (829) ~ (all_0_1_1 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Equations (391) can reduce 210 to:
% 19.47/5.06 | (124) ~ (all_0_9_9 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Equations (391) can reduce 104 to:
% 19.47/5.06 | (2029) ~ (all_0_17_17 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 2029 yields:
% 19.47/5.06 | (1858) ~ (all_0_17_17 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Equations (391) can reduce 514 to:
% 19.47/5.06 | (807) ~ (e4 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 807 yields:
% 19.47/5.06 | (24) ~ (e4 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Equations (391) can reduce 242 to:
% 19.47/5.06 | (191) ~ (e3 = e2)
% 19.47/5.06 |
% 19.47/5.06 | Equations (391) can reduce 186 to:
% 19.47/5.06 | (61) ~ (e3 = e0)
% 19.47/5.06 |
% 19.47/5.06 | From (391) and (117) follows:
% 19.47/5.06 | (1470) op(e1, e3) = e3
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (78), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (325) ~ (all_0_20_20 = e3)
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (143), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (842) all_0_17_17 = e3
% 19.47/5.06 |
% 19.47/5.06 | Equations (842) can reduce 1858 to:
% 19.47/5.06 | (267) $false
% 19.47/5.06 |
% 19.47/5.06 |-The branch is then unsatisfiable
% 19.47/5.06 |-Branch two:
% 19.47/5.06 | (1858) ~ (all_0_17_17 = e3)
% 19.47/5.06 | (2250) all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 19.47/5.06 |
% 19.47/5.06 +-Applying beta-rule and splitting (160), into two cases.
% 19.47/5.06 |-Branch one:
% 19.47/5.06 | (672) all_0_3_3 = e3
% 19.47/5.06 |
% 19.47/5.06 | Equations (672) can reduce 215 to:
% 19.47/5.06 | (829) ~ (all_0_1_1 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Equations (672) can reduce 8 to:
% 19.47/5.06 | (723) ~ (all_0_8_8 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Simplifying 723 yields:
% 19.47/5.06 | (724) ~ (all_0_8_8 = e3)
% 19.47/5.06 |
% 19.47/5.06 | Equations (672) can reduce 212 to:
% 19.47/5.07 | (2504) ~ (all_0_20_20 = e3)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 2504 yields:
% 19.47/5.07 | (325) ~ (all_0_20_20 = e3)
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (47), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (252) ~ (all_0_0_0 = e0)
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (121), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (253) all_0_0_0 = e4
% 19.47/5.07 |
% 19.47/5.07 | Equations (253) can reduce 110 to:
% 19.47/5.07 | (254) ~ (all_0_1_1 = e4)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 254 yields:
% 19.47/5.07 | (255) ~ (all_0_1_1 = e4)
% 19.47/5.07 |
% 19.47/5.07 | Equations (253) can reduce 252 to:
% 19.47/5.07 | (7) ~ (e4 = e0)
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (2250), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (679) all_0_18_18 = e3
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (679,420) yields a new equation:
% 19.47/5.07 | (1102) e3 = e0
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 1102 yields:
% 19.47/5.07 | (1103) e3 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (1103) can reduce 61 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (468) ~ (all_0_18_18 = e3)
% 19.47/5.07 | (2255) all_0_19_19 = e3 | all_0_20_20 = e3
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (2255), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (1081) all_0_19_19 = e3
% 19.47/5.07 |
% 19.47/5.07 | Equations (1081) can reduce 219 to:
% 19.47/5.07 | (203) ~ (all_0_11_11 = e3)
% 19.47/5.07 |
% 19.47/5.07 | Equations (1081) can reduce 35 to:
% 19.47/5.07 | (2504) ~ (all_0_20_20 = e3)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 2504 yields:
% 19.47/5.07 | (325) ~ (all_0_20_20 = e3)
% 19.47/5.07 |
% 19.47/5.07 | From (1081) and (209) follows:
% 19.47/5.07 | (2259) op(e0, e1) = e3
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (43), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (540) all_0_1_1 = e2
% 19.47/5.07 |
% 19.47/5.07 | Equations (540) can reduce 520 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (520) ~ (all_0_1_1 = e2)
% 19.47/5.07 | (543) all_0_2_2 = e2 | all_0_3_3 = e2
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (543), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (270) all_0_2_2 = e2
% 19.47/5.07 |
% 19.47/5.07 | Equations (270) can reduce 190 to:
% 19.47/5.07 | (520) ~ (all_0_1_1 = e2)
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (198), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (326) all_0_0_0 = e0
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (326,253) yields a new equation:
% 19.47/5.07 | (327) e4 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (327) can reduce 7 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (252) ~ (all_0_0_0 = e0)
% 19.47/5.07 | (774) all_0_4_4 = e0 | all_0_16_16 = e0
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (60), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (540) all_0_1_1 = e2
% 19.47/5.07 |
% 19.47/5.07 | Equations (540) can reduce 520 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (520) ~ (all_0_1_1 = e2)
% 19.47/5.07 | (2007) all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e0
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (774), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (785) all_0_4_4 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (785) can reduce 93 to:
% 19.47/5.07 | (2148) ~ (all_0_8_8 = e0)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 2148 yields:
% 19.47/5.07 | (1185) ~ (all_0_8_8 = e0)
% 19.47/5.07 |
% 19.47/5.07 | Equations (785) can reduce 28 to:
% 19.47/5.07 | (996) ~ (e3 = e0)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 996 yields:
% 19.47/5.07 | (61) ~ (e3 = e0)
% 19.47/5.07 |
% 19.47/5.07 | From (785) and (179) follows:
% 19.47/5.07 | (2542) op(e3, e4) = e0
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (2007), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (790) all_0_1_1 = e4
% 19.47/5.07 |
% 19.47/5.07 | Equations (790) can reduce 255 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (255) ~ (all_0_1_1 = e4)
% 19.47/5.07 | (2020) all_0_1_1 = e3 | all_0_1_1 = e0
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (76), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (1002) all_0_4_4 = e1
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (1002,785) yields a new equation:
% 19.47/5.07 | (1156) e1 = e0
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 1156 yields:
% 19.47/5.07 | (871) e1 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (871) can reduce 131 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (742) ~ (all_0_4_4 = e1)
% 19.47/5.07 | (741) all_0_16_16 = e1
% 19.47/5.07 |
% 19.47/5.07 | Equations (741) can reduce 107 to:
% 19.47/5.07 | (719) ~ (all_0_17_17 = e1)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 719 yields:
% 19.47/5.07 | (720) ~ (all_0_17_17 = e1)
% 19.47/5.07 |
% 19.47/5.07 | Equations (741) can reduce 115 to:
% 19.47/5.07 | (2555) ~ (all_0_20_20 = e1)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 2555 yields:
% 19.47/5.07 | (29) ~ (all_0_20_20 = e1)
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (77), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (281) all_0_8_8 = e2
% 19.47/5.07 |
% 19.47/5.07 | Equations (281) can reduce 372 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (372) ~ (all_0_8_8 = e2)
% 19.47/5.07 | (2140) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e0
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (67), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (334) all_0_3_3 = e0
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (334,672) yields a new equation:
% 19.47/5.07 | (1103) e3 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (1103) can reduce 61 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (581) ~ (all_0_3_3 = e0)
% 19.47/5.07 | (2565) all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (2565), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (2154) all_0_8_8 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (2154) can reduce 1185 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (1185) ~ (all_0_8_8 = e0)
% 19.47/5.07 | (2569) all_0_12_12 = e0 | all_0_20_20 = e0
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (2569), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (580) all_0_12_12 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (580) can reduce 108 to:
% 19.47/5.07 | (1185) ~ (all_0_8_8 = e0)
% 19.47/5.07 |
% 19.47/5.07 | Equations (580) can reduce 105 to:
% 19.47/5.07 | (81) ~ (all_0_11_11 = e0)
% 19.47/5.07 |
% 19.47/5.07 | Equations (580) can reduce 30 to:
% 19.47/5.07 | (335) ~ (all_0_20_20 = e0)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 335 yields:
% 19.47/5.07 | (336) ~ (all_0_20_20 = e0)
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (158), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (337) all_0_20_20 = e2
% 19.47/5.07 |
% 19.47/5.07 | Equations (337) can reduce 193 to:
% 19.47/5.07 | (372) ~ (all_0_8_8 = e2)
% 19.47/5.07 |
% 19.47/5.07 | Equations (337) can reduce 29 to:
% 19.47/5.07 | (134) ~ (e2 = e1)
% 19.47/5.07 |
% 19.47/5.07 | From (337) and (96) follows:
% 19.47/5.07 | (2204) op(e0, e0) = e2
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (2020), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (331) all_0_1_1 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (331) can reduce 13 to:
% 19.47/5.07 | (853) ~ (all_0_9_9 = e0)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 853 yields:
% 19.47/5.07 | (355) ~ (all_0_9_9 = e0)
% 19.47/5.07 |
% 19.47/5.07 | Equations (331) can reduce 103 to:
% 19.47/5.07 | (788) ~ (e1 = e0)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 788 yields:
% 19.47/5.07 | (131) ~ (e1 = e0)
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (175), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (1002) all_0_4_4 = e1
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (785,1002) yields a new equation:
% 19.47/5.07 | (871) e1 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (871) can reduce 131 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (742) ~ (all_0_4_4 = e1)
% 19.47/5.07 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (2140), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (296) all_0_8_8 = e4
% 19.47/5.07 |
% 19.47/5.07 | Equations (296) can reduce 49 to:
% 19.47/5.07 | (450) ~ (all_0_7_7 = e4)
% 19.47/5.07 |
% 19.47/5.07 | Equations (296) can reduce 724 to:
% 19.47/5.07 | (24) ~ (e4 = e3)
% 19.47/5.07 |
% 19.47/5.07 | Equations (296) can reduce 372 to:
% 19.47/5.07 | (205) ~ (e4 = e2)
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (211), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (381) all_0_2_2 = e4
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (270,381) yields a new equation:
% 19.47/5.07 | (297) e4 = e2
% 19.47/5.07 |
% 19.47/5.07 | Equations (297) can reduce 205 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (257) ~ (all_0_2_2 = e4)
% 19.47/5.07 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (1292), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (459) all_0_5_5 = e1
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (402,459) yields a new equation:
% 19.47/5.07 | (759) e2 = e1
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 759 yields:
% 19.47/5.07 | (760) e2 = e1
% 19.47/5.07 |
% 19.47/5.07 | Equations (760) can reduce 134 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (265) ~ (all_0_5_5 = e1)
% 19.47/5.07 | (1385) all_0_7_7 = e1
% 19.47/5.07 |
% 19.47/5.07 | Equations (1385) can reduce 450 to:
% 19.47/5.07 | (721) ~ (e4 = e1)
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 721 yields:
% 19.47/5.07 | (217) ~ (e4 = e1)
% 19.47/5.07 |
% 19.47/5.07 | From (1385) and (144) follows:
% 19.47/5.07 | (1388) op(e3, e1) = e1
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (624), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (435) all_0_7_7 = e4
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (435,1385) yields a new equation:
% 19.47/5.07 | (1500) e4 = e1
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 1500 yields:
% 19.47/5.07 | (934) e4 = e1
% 19.47/5.07 |
% 19.47/5.07 | Equations (934) can reduce 217 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (450) ~ (all_0_7_7 = e4)
% 19.47/5.07 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (628), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (306) all_0_11_11 = e4
% 19.47/5.07 |
% 19.47/5.07 | Equations (306) can reduce 197 to:
% 19.47/5.07 | (302) ~ (all_0_9_9 = e4)
% 19.47/5.07 |
% 19.47/5.07 | Equations (306) can reduce 203 to:
% 19.47/5.07 | (24) ~ (e4 = e3)
% 19.47/5.07 |
% 19.47/5.07 | Equations (306) can reduce 81 to:
% 19.47/5.07 | (7) ~ (e4 = e0)
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (50), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (790) all_0_1_1 = e4
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (790,331) yields a new equation:
% 19.47/5.07 | (657) e4 = e0
% 19.47/5.07 |
% 19.47/5.07 | Simplifying 657 yields:
% 19.47/5.07 | (327) e4 = e0
% 19.47/5.07 |
% 19.47/5.07 | Equations (327) can reduce 7 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (255) ~ (all_0_1_1 = e4)
% 19.47/5.07 | (793) all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (793), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (315) all_0_9_9 = e4
% 19.47/5.07 |
% 19.47/5.07 | Equations (315) can reduce 302 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (302) ~ (all_0_9_9 = e4)
% 19.47/5.07 | (801) all_0_14_14 = e4 | all_0_17_17 = e4
% 19.47/5.07 |
% 19.47/5.07 +-Applying beta-rule and splitting (801), into two cases.
% 19.47/5.07 |-Branch one:
% 19.47/5.07 | (470) all_0_14_14 = e4
% 19.47/5.07 |
% 19.47/5.07 | Combining equations (391,470) yields a new equation:
% 19.47/5.07 | (452) e4 = e3
% 19.47/5.07 |
% 19.47/5.07 | Equations (452) can reduce 24 to:
% 19.47/5.07 | (267) $false
% 19.47/5.07 |
% 19.47/5.07 |-The branch is then unsatisfiable
% 19.47/5.07 |-Branch two:
% 19.47/5.07 | (514) ~ (all_0_14_14 = e4)
% 19.47/5.07 | (846) all_0_17_17 = e4
% 19.47/5.07 |
% 19.47/5.08 | Equations (846) can reduce 720 to:
% 19.47/5.08 | (217) ~ (e4 = e1)
% 19.47/5.08 |
% 19.47/5.08 +-Applying beta-rule and splitting (63), into two cases.
% 19.47/5.08 |-Branch one:
% 19.47/5.08 | (356) all_0_9_9 = e1
% 19.47/5.08 |
% 19.47/5.08 | Equations (356) can reduce 124 to:
% 19.47/5.08 | (743) ~ (e3 = e1)
% 19.47/5.08 |
% 19.47/5.08 | Simplifying 743 yields:
% 19.47/5.08 | (133) ~ (e3 = e1)
% 19.47/5.08 |
% 19.47/5.08 | Equations (356) can reduce 224 to:
% 19.47/5.08 | (1005) ~ (e2 = e1)
% 19.47/5.08 |
% 19.47/5.08 | Simplifying 1005 yields:
% 19.47/5.08 | (134) ~ (e2 = e1)
% 19.47/5.08 |
% 19.47/5.08 | Equations (356) can reduce 355 to:
% 19.47/5.08 | (131) ~ (e1 = e0)
% 19.47/5.08 |
% 19.47/5.08 +-Applying beta-rule and splitting (54), into two cases.
% 19.47/5.08 |-Branch one:
% 19.47/5.08 | (1420) unit = e2
% 19.47/5.08 |
% 19.47/5.08 | From (1420) and (52) follows:
% 19.47/5.08 | (1421) op(e2, e4) = e4
% 19.47/5.08 |
% 19.47/5.08 | From (1420) and (146) follows:
% 19.47/5.08 | (1422) op(e1, e2) = e1
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 19.47/5.08 | (452) e4 = e3
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields:
% 19.47/5.08 | (934) e4 = e1
% 19.47/5.08 |
% 19.47/5.08 | Combining equations (934,452) yields a new equation:
% 19.47/5.08 | (833) e3 = e1
% 19.47/5.08 |
% 19.47/5.08 | Equations (833) can reduce 133 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (1432) ~ (unit = e2)
% 19.47/5.08 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.47/5.08 |
% 19.47/5.08 +-Applying beta-rule and splitting (1433), into two cases.
% 19.47/5.08 |-Branch one:
% 19.47/5.08 | (1434) unit = e4
% 19.47/5.08 |
% 19.47/5.08 | From (1434) and (112) follows:
% 19.47/5.08 | (1437) op(e3, e4) = e3
% 19.47/5.08 |
% 19.47/5.08 | From (1434) and (169) follows:
% 19.47/5.08 | (1438) op(e2, e4) = e2
% 19.47/5.08 |
% 19.47/5.08 | From (1434) and (146) follows:
% 19.47/5.08 | (2338) op(e1, e4) = e1
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields:
% 19.47/5.08 | (1103) e3 = e0
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 19.47/5.08 | (483) e3 = e2
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields:
% 19.47/5.08 | (760) e2 = e1
% 19.47/5.08 |
% 19.47/5.08 | Combining equations (483,1103) yields a new equation:
% 19.47/5.08 | (352) e2 = e0
% 19.47/5.08 |
% 19.47/5.08 | Simplifying 352 yields:
% 19.47/5.08 | (353) e2 = e0
% 19.47/5.08 |
% 19.47/5.08 | Combining equations (353,760) yields a new equation:
% 19.47/5.08 | (871) e1 = e0
% 19.47/5.08 |
% 19.47/5.08 | Equations (871) can reduce 131 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (1449) ~ (unit = e4)
% 19.47/5.08 | (1450) unit = e3 | unit = e1 | unit = e0
% 19.47/5.08 |
% 19.47/5.08 +-Applying beta-rule and splitting (1450), into two cases.
% 19.47/5.08 |-Branch one:
% 19.47/5.08 | (1451) unit = e0
% 19.47/5.08 |
% 19.47/5.08 | Equations (1451) can reduce 1432 to:
% 19.47/5.08 | (323) ~ (e2 = e0)
% 19.47/5.08 |
% 19.47/5.08 | Simplifying 323 yields:
% 19.47/5.08 | (45) ~ (e2 = e0)
% 19.47/5.08 |
% 19.47/5.08 | From (1451) and (220) follows:
% 19.47/5.08 | (2349) op(e0, e0) = e0
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e0, e0, e0, e2 and discharging atoms op(e0, e0) = e2, op(e0, e0) = e0, yields:
% 19.47/5.08 | (353) e2 = e0
% 19.47/5.08 |
% 19.47/5.08 | Equations (353) can reduce 45 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (564) ~ (unit = e0)
% 19.47/5.08 | (1454) unit = e3 | unit = e1
% 19.47/5.08 |
% 19.47/5.08 +-Applying beta-rule and splitting (1454), into two cases.
% 19.47/5.08 |-Branch one:
% 19.47/5.08 | (1455) unit = e3
% 19.47/5.08 |
% 19.47/5.08 | From (1455) and (153) follows:
% 19.47/5.08 | (1838) op(e3, e2) = e2
% 19.47/5.08 |
% 19.47/5.08 | From (1455) and (146) follows:
% 19.47/5.08 | (1458) op(e1, e3) = e1
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 19.47/5.08 | (483) e3 = e2
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 19.47/5.08 | (833) e3 = e1
% 19.47/5.08 |
% 19.47/5.08 | Combining equations (483,833) yields a new equation:
% 19.47/5.08 | (759) e2 = e1
% 19.47/5.08 |
% 19.47/5.08 | Simplifying 759 yields:
% 19.47/5.08 | (760) e2 = e1
% 19.47/5.08 |
% 19.47/5.08 | Equations (760) can reduce 134 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (493) ~ (unit = e3)
% 19.47/5.08 | (1467) unit = e1
% 19.47/5.08 |
% 19.47/5.08 | Equations (1467) can reduce 564 to:
% 19.47/5.08 | (131) ~ (e1 = e0)
% 19.47/5.08 |
% 19.47/5.08 | From (1467) and (112) follows:
% 19.47/5.08 | (1471) op(e3, e1) = e3
% 19.47/5.08 |
% 19.47/5.08 | From (1467) and (220) follows:
% 19.47/5.08 | (1472) op(e0, e1) = e0
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 19.47/5.08 | (833) e3 = e1
% 19.47/5.08 |
% 19.47/5.08 | Instantiating formula (178) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 19.47/5.08 | (1103) e3 = e0
% 19.47/5.08 |
% 19.47/5.08 | Combining equations (833,1103) yields a new equation:
% 19.47/5.08 | (1156) e1 = e0
% 19.47/5.08 |
% 19.47/5.08 | Simplifying 1156 yields:
% 19.47/5.08 | (871) e1 = e0
% 19.47/5.08 |
% 19.47/5.08 | Equations (871) can reduce 131 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (310) ~ (all_0_9_9 = e1)
% 19.47/5.08 | (309) all_0_11_11 = e1
% 19.47/5.08 |
% 19.47/5.08 | Combining equations (306,309) yields a new equation:
% 19.47/5.08 | (1500) e4 = e1
% 19.47/5.08 |
% 19.47/5.08 | Simplifying 1500 yields:
% 19.47/5.08 | (934) e4 = e1
% 19.47/5.08 |
% 19.47/5.08 | Equations (934) can reduce 217 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (303) ~ (all_0_11_11 = e4)
% 19.47/5.08 | (644) all_0_19_19 = e4
% 19.47/5.08 |
% 19.47/5.08 | Combining equations (644,1081) yields a new equation:
% 19.47/5.08 | (620) e4 = e3
% 19.47/5.08 |
% 19.47/5.08 | Simplifying 620 yields:
% 19.47/5.08 | (452) e4 = e3
% 19.47/5.08 |
% 19.47/5.08 | Equations (452) can reduce 24 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (299) ~ (all_0_8_8 = e4)
% 19.47/5.08 | (2153) all_0_8_8 = e3 | all_0_8_8 = e0
% 19.47/5.08 |
% 19.47/5.08 +-Applying beta-rule and splitting (2153), into two cases.
% 19.47/5.08 |-Branch one:
% 19.47/5.08 | (2154) all_0_8_8 = e0
% 19.47/5.08 |
% 19.47/5.08 | Equations (2154) can reduce 1185 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (1185) ~ (all_0_8_8 = e0)
% 19.47/5.08 | (425) all_0_8_8 = e3
% 19.47/5.08 |
% 19.47/5.08 | Equations (425) can reduce 724 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (320) ~ (all_0_1_1 = e0)
% 19.47/5.08 | (804) all_0_1_1 = e3
% 19.47/5.08 |
% 19.47/5.08 | Equations (804) can reduce 829 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (251) ~ (all_0_20_20 = e2)
% 19.47/5.08 | (340) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 19.47/5.08 |
% 19.47/5.08 +-Applying beta-rule and splitting (340), into two cases.
% 19.47/5.08 |-Branch one:
% 19.47/5.08 | (341) all_0_20_20 = e4
% 19.47/5.08 |
% 19.47/5.08 | Equations (341) can reduce 264 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (264) ~ (all_0_20_20 = e4)
% 19.47/5.08 | (344) all_0_20_20 = e3 | all_0_20_20 = e0
% 19.47/5.08 |
% 19.47/5.08 +-Applying beta-rule and splitting (344), into two cases.
% 19.47/5.08 |-Branch one:
% 19.47/5.08 | (345) all_0_20_20 = e0
% 19.47/5.08 |
% 19.47/5.08 | Equations (345) can reduce 336 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (336) ~ (all_0_20_20 = e0)
% 19.47/5.08 | (348) all_0_20_20 = e3
% 19.47/5.08 |
% 19.47/5.08 | Equations (348) can reduce 325 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (2718) ~ (all_0_12_12 = e0)
% 19.47/5.08 | (345) all_0_20_20 = e0
% 19.47/5.08 |
% 19.47/5.08 | Equations (345) can reduce 336 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (882) ~ (all_0_4_4 = e0)
% 19.47/5.08 | (609) all_0_16_16 = e0
% 19.47/5.08 |
% 19.47/5.08 | Equations (609) can reduce 587 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.08 | (379) ~ (all_0_2_2 = e2)
% 19.47/5.08 | (277) all_0_3_3 = e2
% 19.47/5.08 |
% 19.47/5.08 | Combining equations (277,672) yields a new equation:
% 19.47/5.08 | (483) e3 = e2
% 19.47/5.08 |
% 19.47/5.08 | Equations (483) can reduce 191 to:
% 19.47/5.08 | (267) $false
% 19.47/5.08 |
% 19.47/5.08 |-The branch is then unsatisfiable
% 19.47/5.08 |-Branch two:
% 19.47/5.09 | (968) ~ (all_0_19_19 = e3)
% 19.47/5.09 | (348) all_0_20_20 = e3
% 19.47/5.09 |
% 19.47/5.09 | Equations (348) can reduce 325 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (1168) ~ (all_0_0_0 = e4)
% 19.47/5.09 | (326) all_0_0_0 = e0
% 19.47/5.09 |
% 19.47/5.09 | Equations (326) can reduce 252 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (326) all_0_0_0 = e0
% 19.47/5.09 | (292) all_0_3_3 = e4
% 19.47/5.09 |
% 19.47/5.09 | Combining equations (292,672) yields a new equation:
% 19.47/5.09 | (620) e4 = e3
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 620 yields:
% 19.47/5.09 | (452) e4 = e3
% 19.47/5.09 |
% 19.47/5.09 | Equations (452) can reduce 24 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (386) ~ (all_0_3_3 = e3)
% 19.47/5.09 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (2250), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (679) all_0_18_18 = e3
% 19.47/5.09 |
% 19.47/5.09 | Combining equations (420,679) yields a new equation:
% 19.47/5.09 | (1103) e3 = e0
% 19.47/5.09 |
% 19.47/5.09 | Equations (1103) can reduce 61 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (468) ~ (all_0_18_18 = e3)
% 19.47/5.09 | (2255) all_0_19_19 = e3 | all_0_20_20 = e3
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (122), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (804) all_0_1_1 = e3
% 19.47/5.09 |
% 19.47/5.09 | Equations (804) can reduce 829 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (829) ~ (all_0_1_1 = e3)
% 19.47/5.09 | (1647) all_0_2_2 = e3 | all_0_3_3 = e3
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (1647), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (384) all_0_2_2 = e3
% 19.47/5.09 |
% 19.47/5.09 | Equations (384) can reduce 84 to:
% 19.47/5.09 | (967) ~ (all_0_19_19 = e3)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 967 yields:
% 19.47/5.09 | (968) ~ (all_0_19_19 = e3)
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (2255), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (1081) all_0_19_19 = e3
% 19.47/5.09 |
% 19.47/5.09 | Equations (1081) can reduce 968 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (968) ~ (all_0_19_19 = e3)
% 19.47/5.09 | (348) all_0_20_20 = e3
% 19.47/5.09 |
% 19.47/5.09 | Equations (348) can reduce 325 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (496) ~ (all_0_2_2 = e3)
% 19.47/5.09 | (672) all_0_3_3 = e3
% 19.47/5.09 |
% 19.47/5.09 | Equations (672) can reduce 386 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (348) all_0_20_20 = e3
% 19.47/5.09 | (351) all_0_17_17 = e0
% 19.47/5.09 |
% 19.47/5.09 | Equations (351) can reduce 654 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (464) ~ (all_0_14_14 = e3)
% 19.47/5.09 | (462) all_0_15_15 = e3
% 19.47/5.09 |
% 19.47/5.09 | Combining equations (399,462) yields a new equation:
% 19.47/5.09 | (620) e4 = e3
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 620 yields:
% 19.47/5.09 | (452) e4 = e3
% 19.47/5.09 |
% 19.47/5.09 | Equations (452) can reduce 24 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (1961) ~ (all_0_13_13 = e2)
% 19.47/5.09 | (1625) all_0_13_13 = e4
% 19.47/5.09 |
% 19.47/5.09 | Equations (1625) can reduce 1628 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (461) ~ (all_0_15_15 = e4)
% 19.47/5.09 | (462) all_0_15_15 = e3
% 19.47/5.09 |
% 19.47/5.09 | Equations (462) can reduce 394 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (341) all_0_20_20 = e4
% 19.47/5.09 | (609) all_0_16_16 = e0
% 19.47/5.09 |
% 19.47/5.09 | Equations (609) can reduce 587 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (2778) ~ (all_0_10_10 = e2)
% 19.47/5.09 | (415) all_0_10_10 = e0
% 19.47/5.09 |
% 19.47/5.09 | Equations (415) can reduce 221 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (415) all_0_10_10 = e0
% 19.47/5.09 | (374) all_0_12_12 = e2
% 19.47/5.09 |
% 19.47/5.09 | Equations (374) can reduce 187 to:
% 19.47/5.09 | (272) ~ (all_0_3_3 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (415) can reduce 207 to:
% 19.47/5.09 | (408) ~ (all_0_6_6 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Equations (374) can reduce 108 to:
% 19.47/5.09 | (372) ~ (all_0_8_8 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (415) can reduce 168 to:
% 19.47/5.09 | (355) ~ (all_0_9_9 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Equations (374) can reduce 22 to:
% 19.47/5.09 | (224) ~ (all_0_9_9 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (415) can reduce 114 to:
% 19.47/5.09 | (2788) ~ (all_0_11_11 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 2788 yields:
% 19.47/5.09 | (81) ~ (all_0_11_11 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Equations (415) can reduce 113 to:
% 19.47/5.09 | (2790) ~ (all_0_15_15 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 2790 yields:
% 19.47/5.09 | (98) ~ (all_0_15_15 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Equations (415) can reduce 111 to:
% 19.47/5.09 | (593) ~ (all_0_18_18 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 593 yields:
% 19.47/5.09 | (570) ~ (all_0_18_18 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Equations (415) can reduce 177 to:
% 19.47/5.09 | (788) ~ (e1 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 788 yields:
% 19.47/5.09 | (131) ~ (e1 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Equations (374) can reduce 105 to:
% 19.47/5.09 | (226) ~ (all_0_11_11 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (374) can reduce 30 to:
% 19.47/5.09 | (282) ~ (all_0_20_20 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 282 yields:
% 19.47/5.09 | (251) ~ (all_0_20_20 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (374) can reduce 194 to:
% 19.47/5.09 | (235) ~ (e3 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 235 yields:
% 19.47/5.09 | (191) ~ (e3 = e2)
% 19.47/5.09 |
% 19.47/5.09 | From (374) and (57) follows:
% 19.47/5.09 | (2801) op(e2, e0) = e2
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (27), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (239) all_0_13_13 = e2
% 19.47/5.09 |
% 19.47/5.09 | Equations (239) can reduce 127 to:
% 19.47/5.09 | (72) ~ (all_0_0_0 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (239) can reduce 68 to:
% 19.47/5.09 | (240) ~ (all_0_4_4 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (239) can reduce 21 to:
% 19.47/5.09 | (241) ~ (all_0_14_14 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 241 yields:
% 19.47/5.09 | (242) ~ (all_0_14_14 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (239) can reduce 82 to:
% 19.47/5.09 | (229) ~ (all_0_15_15 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 229 yields:
% 19.47/5.09 | (230) ~ (all_0_15_15 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (239) can reduce 123 to:
% 19.47/5.09 | (245) ~ (all_0_16_16 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 245 yields:
% 19.47/5.09 | (246) ~ (all_0_16_16 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (239) can reduce 141 to:
% 19.47/5.09 | (235) ~ (e3 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 235 yields:
% 19.47/5.09 | (191) ~ (e3 = e2)
% 19.47/5.09 |
% 19.47/5.09 | From (239) and (120) follows:
% 19.47/5.09 | (250) op(e1, e4) = e2
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (10), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (238) ~ (all_0_5_5 = e2)
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (47), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (252) ~ (all_0_0_0 = e0)
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (121), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (253) all_0_0_0 = e4
% 19.47/5.09 |
% 19.47/5.09 | Equations (253) can reduce 110 to:
% 19.47/5.09 | (254) ~ (all_0_1_1 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 254 yields:
% 19.47/5.09 | (255) ~ (all_0_1_1 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Equations (253) can reduce 51 to:
% 19.47/5.09 | (256) ~ (all_0_2_2 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 256 yields:
% 19.47/5.09 | (257) ~ (all_0_2_2 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Equations (253) can reduce 156 to:
% 19.47/5.09 | (258) ~ (all_0_3_3 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 258 yields:
% 19.47/5.09 | (259) ~ (all_0_3_3 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Equations (253) can reduce 72 to:
% 19.47/5.09 | (205) ~ (e4 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (253) can reduce 252 to:
% 19.47/5.09 | (7) ~ (e4 = e0)
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (176), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (264) ~ (all_0_20_20 = e4)
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (94), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (292) all_0_3_3 = e4
% 19.47/5.09 |
% 19.47/5.09 | Equations (292) can reduce 259 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (259) ~ (all_0_3_3 = e4)
% 19.47/5.09 | (295) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (295), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (296) all_0_8_8 = e4
% 19.47/5.09 |
% 19.47/5.09 | Equations (296) can reduce 8 to:
% 19.47/5.09 | (259) ~ (all_0_3_3 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Equations (296) can reduce 66 to:
% 19.47/5.09 | (53) ~ (all_0_5_5 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Equations (296) can reduce 138 to:
% 19.47/5.09 | (400) ~ (all_0_6_6 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Equations (296) can reduce 49 to:
% 19.47/5.09 | (450) ~ (all_0_7_7 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Equations (296) can reduce 193 to:
% 19.47/5.09 | (304) ~ (all_0_20_20 = e4)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 304 yields:
% 19.47/5.09 | (264) ~ (all_0_20_20 = e4)
% 19.47/5.09 |
% 19.47/5.09 | From (296) and (140) follows:
% 19.47/5.09 | (2837) op(e3, e0) = e4
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (64), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (785) all_0_4_4 = e0
% 19.47/5.09 |
% 19.47/5.09 | Equations (785) can reduce 39 to:
% 19.47/5.09 | (2839) ~ (all_0_5_5 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 2839 yields:
% 19.47/5.09 | (422) ~ (all_0_5_5 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Equations (785) can reduce 99 to:
% 19.47/5.09 | (407) ~ (all_0_6_6 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 407 yields:
% 19.47/5.09 | (408) ~ (all_0_6_6 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Equations (785) can reduce 74 to:
% 19.47/5.09 | (2301) ~ (all_0_7_7 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 2301 yields:
% 19.47/5.09 | (4) ~ (all_0_7_7 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Equations (785) can reduce 28 to:
% 19.47/5.09 | (996) ~ (e3 = e0)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 996 yields:
% 19.47/5.09 | (61) ~ (e3 = e0)
% 19.47/5.09 |
% 19.47/5.09 | From (785) and (179) follows:
% 19.47/5.09 | (2542) op(e3, e4) = e0
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (76), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (1002) all_0_4_4 = e1
% 19.47/5.09 |
% 19.47/5.09 | Combining equations (1002,785) yields a new equation:
% 19.47/5.09 | (1156) e1 = e0
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 1156 yields:
% 19.47/5.09 | (871) e1 = e0
% 19.47/5.09 |
% 19.47/5.09 | Equations (871) can reduce 131 to:
% 19.47/5.09 | (267) $false
% 19.47/5.09 |
% 19.47/5.09 |-The branch is then unsatisfiable
% 19.47/5.09 |-Branch two:
% 19.47/5.09 | (742) ~ (all_0_4_4 = e1)
% 19.47/5.09 | (741) all_0_16_16 = e1
% 19.47/5.09 |
% 19.47/5.09 | Equations (741) can reduce 107 to:
% 19.47/5.09 | (719) ~ (all_0_17_17 = e1)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 719 yields:
% 19.47/5.09 | (720) ~ (all_0_17_17 = e1)
% 19.47/5.09 |
% 19.47/5.09 | Equations (741) can reduce 161 to:
% 19.47/5.09 | (2856) ~ (all_0_18_18 = e1)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 2856 yields:
% 19.47/5.09 | (17) ~ (all_0_18_18 = e1)
% 19.47/5.09 |
% 19.47/5.09 | Equations (741) can reduce 115 to:
% 19.47/5.09 | (2555) ~ (all_0_20_20 = e1)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 2555 yields:
% 19.47/5.09 | (29) ~ (all_0_20_20 = e1)
% 19.47/5.09 |
% 19.47/5.09 +-Applying beta-rule and splitting (128), into two cases.
% 19.47/5.09 |-Branch one:
% 19.47/5.09 | (270) all_0_2_2 = e2
% 19.47/5.09 |
% 19.47/5.09 | Equations (270) can reduce 190 to:
% 19.47/5.09 | (520) ~ (all_0_1_1 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (270) can reduce 9 to:
% 19.47/5.09 | (2862) ~ (all_0_7_7 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 2862 yields:
% 19.47/5.09 | (537) ~ (all_0_7_7 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (270) can reduce 132 to:
% 19.47/5.09 | (225) ~ (all_0_11_11 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 225 yields:
% 19.47/5.09 | (226) ~ (all_0_11_11 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (270) can reduce 257 to:
% 19.47/5.09 | (233) ~ (e4 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Simplifying 233 yields:
% 19.47/5.09 | (205) ~ (e4 = e2)
% 19.47/5.09 |
% 19.47/5.09 | Equations (270) can reduce 19 to:
% 19.47/5.09 | (45) ~ (e2 = e0)
% 19.47/5.09 |
% 19.47/5.10 +-Applying beta-rule and splitting (218), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (1059) all_0_4_4 = e2
% 19.47/5.10 |
% 19.47/5.10 | Combining equations (785,1059) yields a new equation:
% 19.47/5.10 | (353) e2 = e0
% 19.47/5.10 |
% 19.47/5.10 | Equations (353) can reduce 45 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (240) ~ (all_0_4_4 = e2)
% 19.47/5.10 | (1063) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (1063), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (402) all_0_5_5 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (402) can reduce 238 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (238) ~ (all_0_5_5 = e2)
% 19.47/5.10 | (1118) all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (1118), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (437) all_0_6_6 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (437) can reduce 3 to:
% 19.47/5.10 | (238) ~ (all_0_5_5 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (437) can reduce 23 to:
% 19.47/5.10 | (2862) ~ (all_0_7_7 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 2862 yields:
% 19.47/5.10 | (537) ~ (all_0_7_7 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (437) can reduce 151 to:
% 19.47/5.10 | (229) ~ (all_0_15_15 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 229 yields:
% 19.47/5.10 | (230) ~ (all_0_15_15 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (437) can reduce 400 to:
% 19.47/5.10 | (233) ~ (e4 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 233 yields:
% 19.47/5.10 | (205) ~ (e4 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (437) can reduce 408 to:
% 19.47/5.10 | (45) ~ (e2 = e0)
% 19.47/5.10 |
% 19.47/5.10 | From (437) and (89) follows:
% 19.47/5.10 | (1838) op(e3, e2) = e2
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (152), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (540) all_0_1_1 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (540) can reduce 520 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (520) ~ (all_0_1_1 = e2)
% 19.47/5.10 | (1048) all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (1048), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (402) all_0_5_5 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (402) can reduce 238 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (238) ~ (all_0_5_5 = e2)
% 19.47/5.10 | (1052) all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (1052), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (311) all_0_9_9 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (311) can reduce 224 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (224) ~ (all_0_9_9 = e2)
% 19.47/5.10 | (1058) all_0_14_14 = e2 | all_0_17_17 = e2
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (1058), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (387) all_0_14_14 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (387) can reduce 242 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (242) ~ (all_0_14_14 = e2)
% 19.47/5.10 | (288) all_0_17_17 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (288) can reduce 119 to:
% 19.47/5.10 | (238) ~ (all_0_5_5 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (288) can reduce 104 to:
% 19.47/5.10 | (242) ~ (all_0_14_14 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (288) can reduce 137 to:
% 19.47/5.10 | (231) ~ (all_0_18_18 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 231 yields:
% 19.47/5.10 | (232) ~ (all_0_18_18 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (288) can reduce 6 to:
% 19.47/5.10 | (273) ~ (all_0_19_19 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 273 yields:
% 19.47/5.10 | (274) ~ (all_0_19_19 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (288) can reduce 26 to:
% 19.47/5.10 | (282) ~ (all_0_20_20 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 282 yields:
% 19.47/5.10 | (251) ~ (all_0_20_20 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (288) can reduce 720 to:
% 19.47/5.10 | (134) ~ (e2 = e1)
% 19.47/5.10 |
% 19.47/5.10 | From (288) and (14) follows:
% 19.47/5.10 | (2913) op(e0, e3) = e2
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (31), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (331) all_0_1_1 = e0
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (122), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (804) all_0_1_1 = e3
% 19.47/5.10 |
% 19.47/5.10 | Combining equations (804,331) yields a new equation:
% 19.47/5.10 | (1102) e3 = e0
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 1102 yields:
% 19.47/5.10 | (1103) e3 = e0
% 19.47/5.10 |
% 19.47/5.10 | Equations (1103) can reduce 61 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (829) ~ (all_0_1_1 = e3)
% 19.47/5.10 | (1647) all_0_2_2 = e3 | all_0_3_3 = e3
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (1647), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (384) all_0_2_2 = e3
% 19.47/5.10 |
% 19.47/5.10 | Combining equations (384,270) yields a new equation:
% 19.47/5.10 | (545) e3 = e2
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 545 yields:
% 19.47/5.10 | (483) e3 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (483) can reduce 191 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (496) ~ (all_0_2_2 = e3)
% 19.47/5.10 | (672) all_0_3_3 = e3
% 19.47/5.10 |
% 19.47/5.10 | Equations (672) can reduce 212 to:
% 19.47/5.10 | (2504) ~ (all_0_20_20 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 2504 yields:
% 19.47/5.10 | (325) ~ (all_0_20_20 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Equations (672) can reduce 259 to:
% 19.47/5.10 | (807) ~ (e4 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 807 yields:
% 19.47/5.10 | (24) ~ (e4 = e3)
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (158), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (337) all_0_20_20 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (337) can reduce 251 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (251) ~ (all_0_20_20 = e2)
% 19.47/5.10 | (340) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (340), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (341) all_0_20_20 = e4
% 19.47/5.10 |
% 19.47/5.10 | Equations (341) can reduce 264 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (264) ~ (all_0_20_20 = e4)
% 19.47/5.10 | (344) all_0_20_20 = e3 | all_0_20_20 = e0
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (344), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (345) all_0_20_20 = e0
% 19.47/5.10 |
% 19.47/5.10 | Equations (345) can reduce 251 to:
% 19.47/5.10 | (323) ~ (e2 = e0)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 323 yields:
% 19.47/5.10 | (45) ~ (e2 = e0)
% 19.47/5.10 |
% 19.47/5.10 | Equations (345) can reduce 29 to:
% 19.47/5.10 | (788) ~ (e1 = e0)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 788 yields:
% 19.47/5.10 | (131) ~ (e1 = e0)
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (188), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (387) all_0_14_14 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (387) can reduce 242 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (242) ~ (all_0_14_14 = e2)
% 19.47/5.10 | (390) all_0_14_14 = e4 | all_0_14_14 = e3
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (167), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (266) all_0_11_11 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (266) can reduce 226 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (226) ~ (all_0_11_11 = e2)
% 19.47/5.10 | (269) all_0_11_11 = e4 | all_0_11_11 = e1
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (91), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (391) all_0_14_14 = e3
% 19.47/5.10 |
% 19.47/5.10 | Equations (391) can reduce 38 to:
% 19.47/5.10 | (393) ~ (all_0_15_15 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 393 yields:
% 19.47/5.10 | (394) ~ (all_0_15_15 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Equations (391) can reduce 242 to:
% 19.47/5.10 | (191) ~ (e3 = e2)
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (196), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (395) all_0_15_15 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (395) can reduce 230 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (230) ~ (all_0_15_15 = e2)
% 19.47/5.10 | (398) all_0_15_15 = e4 | all_0_15_15 = e3
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (95), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (448) all_0_6_6 = e3
% 19.47/5.10 |
% 19.47/5.10 | Combining equations (448,437) yields a new equation:
% 19.47/5.10 | (545) e3 = e2
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 545 yields:
% 19.47/5.10 | (483) e3 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (483) can reduce 191 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (426) ~ (all_0_6_6 = e3)
% 19.47/5.10 | (1681) all_0_15_15 = e3 | all_0_18_18 = e3
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (1681), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (462) all_0_15_15 = e3
% 19.47/5.10 |
% 19.47/5.10 | Equations (462) can reduce 394 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (394) ~ (all_0_15_15 = e3)
% 19.47/5.10 | (679) all_0_18_18 = e3
% 19.47/5.10 |
% 19.47/5.10 | Equations (679) can reduce 59 to:
% 19.47/5.10 | (394) ~ (all_0_15_15 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Equations (679) can reduce 154 to:
% 19.47/5.10 | (967) ~ (all_0_19_19 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 967 yields:
% 19.47/5.10 | (968) ~ (all_0_19_19 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Equations (679) can reduce 232 to:
% 19.47/5.10 | (191) ~ (e3 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (679) can reduce 17 to:
% 19.47/5.10 | (133) ~ (e3 = e1)
% 19.47/5.10 |
% 19.47/5.10 | From (679) and (142) follows:
% 19.47/5.10 | (2975) op(e0, e2) = e3
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (147), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (431) all_0_6_6 = e4
% 19.47/5.10 |
% 19.47/5.10 | Combining equations (437,431) yields a new equation:
% 19.47/5.10 | (297) e4 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (297) can reduce 205 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (400) ~ (all_0_6_6 = e4)
% 19.47/5.10 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 19.47/5.10 |
% 19.47/5.10 | Equations (437) can reduce 400 to:
% 19.47/5.10 | (233) ~ (e4 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 233 yields:
% 19.47/5.10 | (205) ~ (e4 = e2)
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (97), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (1625) all_0_13_13 = e4
% 19.47/5.10 |
% 19.47/5.10 | Combining equations (239,1625) yields a new equation:
% 19.47/5.10 | (297) e4 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (297) can reduce 205 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (1628) ~ (all_0_13_13 = e4)
% 19.47/5.10 | (2987) all_0_14_14 = e4 | all_0_15_15 = e4
% 19.47/5.10 |
% 19.47/5.10 | Equations (239) can reduce 1628 to:
% 19.47/5.10 | (233) ~ (e4 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 233 yields:
% 19.47/5.10 | (205) ~ (e4 = e2)
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (32), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (384) all_0_2_2 = e3
% 19.47/5.10 |
% 19.47/5.10 | Combining equations (270,384) yields a new equation:
% 19.47/5.10 | (483) e3 = e2
% 19.47/5.10 |
% 19.47/5.10 | Equations (483) can reduce 191 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (496) ~ (all_0_2_2 = e3)
% 19.47/5.10 | (2994) all_0_7_7 = e3 | all_0_19_19 = e3
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (2994), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (713) all_0_7_7 = e3
% 19.47/5.10 |
% 19.47/5.10 | Equations (713) can reduce 48 to:
% 19.47/5.10 | (967) ~ (all_0_19_19 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 967 yields:
% 19.47/5.10 | (968) ~ (all_0_19_19 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Equations (713) can reduce 450 to:
% 19.47/5.10 | (807) ~ (e4 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 807 yields:
% 19.47/5.10 | (24) ~ (e4 = e3)
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (175), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (1002) all_0_4_4 = e1
% 19.47/5.10 |
% 19.47/5.10 | Combining equations (785,1002) yields a new equation:
% 19.47/5.10 | (871) e1 = e0
% 19.47/5.10 |
% 19.47/5.10 | Equations (871) can reduce 131 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (742) ~ (all_0_4_4 = e1)
% 19.47/5.10 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (1292), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (459) all_0_5_5 = e1
% 19.47/5.10 |
% 19.47/5.10 | Equations (459) can reduce 2 to:
% 19.47/5.10 | (717) ~ (all_0_9_9 = e1)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 717 yields:
% 19.47/5.10 | (310) ~ (all_0_9_9 = e1)
% 19.47/5.10 |
% 19.47/5.10 | Equations (459) can reduce 53 to:
% 19.47/5.10 | (721) ~ (e4 = e1)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 721 yields:
% 19.47/5.10 | (217) ~ (e4 = e1)
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (63), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (356) all_0_9_9 = e1
% 19.47/5.10 |
% 19.47/5.10 | Equations (356) can reduce 310 to:
% 19.47/5.10 | (267) $false
% 19.47/5.10 |
% 19.47/5.10 |-The branch is then unsatisfiable
% 19.47/5.10 |-Branch two:
% 19.47/5.10 | (310) ~ (all_0_9_9 = e1)
% 19.47/5.10 | (309) all_0_11_11 = e1
% 19.47/5.10 |
% 19.47/5.10 | Equations (309) can reduce 226 to:
% 19.47/5.10 | (1005) ~ (e2 = e1)
% 19.47/5.10 |
% 19.47/5.10 | Simplifying 1005 yields:
% 19.47/5.10 | (134) ~ (e2 = e1)
% 19.47/5.10 |
% 19.47/5.10 | Equations (309) can reduce 81 to:
% 19.47/5.10 | (131) ~ (e1 = e0)
% 19.47/5.10 |
% 19.47/5.10 | From (309) and (162) follows:
% 19.47/5.10 | (1816) op(e2, e1) = e1
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (12), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (315) all_0_9_9 = e4
% 19.47/5.10 |
% 19.47/5.10 | From (315) and (164) follows:
% 19.47/5.10 | (3019) op(e2, e3) = e4
% 19.47/5.10 |
% 19.47/5.10 +-Applying beta-rule and splitting (398), into two cases.
% 19.47/5.10 |-Branch one:
% 19.47/5.10 | (399) all_0_15_15 = e4
% 19.47/5.10 |
% 19.47/5.10 | Equations (399) can reduce 394 to:
% 19.47/5.10 | (24) ~ (e4 = e3)
% 19.47/5.10 |
% 19.47/5.10 | Equations (399) can reduce 230 to:
% 19.47/5.10 | (205) ~ (e4 = e2)
% 19.47/5.10 |
% 19.47/5.10 | Equations (399) can reduce 183 to:
% 19.47/5.10 | (217) ~ (e4 = e1)
% 19.47/5.10 |
% 19.47/5.10 | Equations (399) can reduce 98 to:
% 19.47/5.10 | (7) ~ (e4 = e0)
% 19.47/5.10 |
% 19.47/5.10 | From (399) and (83) follows:
% 19.47/5.11 | (2480) op(e1, e2) = e4
% 19.47/5.11 |
% 19.47/5.11 +-Applying beta-rule and splitting (159), into two cases.
% 19.47/5.11 |-Branch one:
% 19.47/5.11 | (1629) all_0_16_16 = e4
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (741,1629) yields a new equation:
% 19.47/5.11 | (934) e4 = e1
% 19.47/5.11 |
% 19.47/5.11 | Equations (934) can reduce 217 to:
% 19.47/5.11 | (267) $false
% 19.47/5.11 |
% 19.47/5.11 |-The branch is then unsatisfiable
% 19.47/5.11 |-Branch two:
% 19.47/5.11 | (1965) ~ (all_0_16_16 = e4)
% 19.47/5.11 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 19.47/5.11 |
% 19.47/5.11 +-Applying beta-rule and splitting (2264), into two cases.
% 19.47/5.11 |-Branch one:
% 19.47/5.11 | (846) all_0_17_17 = e4
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (288,846) yields a new equation:
% 19.47/5.11 | (297) e4 = e2
% 19.47/5.11 |
% 19.47/5.11 | Equations (297) can reduce 205 to:
% 19.47/5.11 | (267) $false
% 19.47/5.11 |
% 19.47/5.11 |-The branch is then unsatisfiable
% 19.47/5.11 |-Branch two:
% 19.47/5.11 | (510) ~ (all_0_17_17 = e4)
% 19.47/5.11 | (2398) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 19.47/5.11 |
% 19.47/5.11 +-Applying beta-rule and splitting (2398), into two cases.
% 19.47/5.11 |-Branch one:
% 19.47/5.11 | (599) all_0_18_18 = e4
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (679,599) yields a new equation:
% 19.47/5.11 | (452) e4 = e3
% 19.47/5.11 |
% 19.47/5.11 | Equations (452) can reduce 24 to:
% 19.47/5.11 | (267) $false
% 19.47/5.11 |
% 19.47/5.11 |-The branch is then unsatisfiable
% 19.47/5.11 |-Branch two:
% 19.47/5.11 | (674) ~ (all_0_18_18 = e4)
% 19.47/5.11 | (2404) all_0_19_19 = e4 | all_0_20_20 = e4
% 19.47/5.11 |
% 19.47/5.11 +-Applying beta-rule and splitting (2404), into two cases.
% 19.47/5.11 |-Branch one:
% 19.47/5.11 | (644) all_0_19_19 = e4
% 19.47/5.11 |
% 19.47/5.11 | From (644) and (209) follows:
% 19.47/5.11 | (3042) op(e0, e1) = e4
% 19.47/5.11 |
% 19.47/5.11 +-Applying beta-rule and splitting (54), into two cases.
% 19.47/5.11 |-Branch one:
% 19.47/5.11 | (1420) unit = e2
% 19.47/5.11 |
% 19.47/5.11 | From (1420) and (71) follows:
% 19.47/5.11 | (3044) op(e2, e3) = e3
% 19.47/5.11 |
% 19.47/5.11 | From (1420) and (112) follows:
% 19.47/5.11 | (2453) op(e3, e2) = e3
% 19.47/5.11 |
% 19.47/5.11 | From (1420) and (146) follows:
% 19.47/5.11 | (1422) op(e1, e2) = e1
% 19.47/5.11 |
% 19.47/5.11 | From (1420) and (220) follows:
% 19.47/5.11 | (1423) op(e0, e2) = e0
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 19.47/5.11 | (483) e3 = e2
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields:
% 19.47/5.11 | (452) e4 = e3
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields:
% 19.47/5.11 | (934) e4 = e1
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e0, e2, e0, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e0, yields:
% 19.47/5.11 | (1103) e3 = e0
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (452,934) yields a new equation:
% 19.47/5.11 | (832) e3 = e1
% 19.47/5.11 |
% 19.47/5.11 | Simplifying 832 yields:
% 19.47/5.11 | (833) e3 = e1
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (833,483) yields a new equation:
% 19.47/5.11 | (760) e2 = e1
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (1103,483) yields a new equation:
% 19.47/5.11 | (353) e2 = e0
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (760,353) yields a new equation:
% 19.47/5.11 | (1156) e1 = e0
% 19.47/5.11 |
% 19.47/5.11 | Simplifying 1156 yields:
% 19.47/5.11 | (871) e1 = e0
% 19.47/5.11 |
% 19.47/5.11 | Equations (871) can reduce 131 to:
% 19.47/5.11 | (267) $false
% 19.47/5.11 |
% 19.47/5.11 |-The branch is then unsatisfiable
% 19.47/5.11 |-Branch two:
% 19.47/5.11 | (1432) ~ (unit = e2)
% 19.47/5.11 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.47/5.11 |
% 19.47/5.11 +-Applying beta-rule and splitting (1433), into two cases.
% 19.47/5.11 |-Branch one:
% 19.47/5.11 | (1434) unit = e4
% 19.47/5.11 |
% 19.47/5.11 | From (1434) and (112) follows:
% 19.47/5.11 | (1437) op(e3, e4) = e3
% 19.47/5.11 |
% 19.47/5.11 | From (1434) and (169) follows:
% 19.47/5.11 | (1438) op(e2, e4) = e2
% 19.47/5.11 |
% 19.47/5.11 | From (1434) and (146) follows:
% 19.47/5.11 | (2338) op(e1, e4) = e1
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields:
% 19.47/5.11 | (1103) e3 = e0
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 19.47/5.11 | (483) e3 = e2
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields:
% 19.47/5.11 | (760) e2 = e1
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (483,1103) yields a new equation:
% 19.47/5.11 | (352) e2 = e0
% 19.47/5.11 |
% 19.47/5.11 | Simplifying 352 yields:
% 19.47/5.11 | (353) e2 = e0
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (353,760) yields a new equation:
% 19.47/5.11 | (871) e1 = e0
% 19.47/5.11 |
% 19.47/5.11 | Equations (871) can reduce 131 to:
% 19.47/5.11 | (267) $false
% 19.47/5.11 |
% 19.47/5.11 |-The branch is then unsatisfiable
% 19.47/5.11 |-Branch two:
% 19.47/5.11 | (1449) ~ (unit = e4)
% 19.47/5.11 | (1450) unit = e3 | unit = e1 | unit = e0
% 19.47/5.11 |
% 19.47/5.11 +-Applying beta-rule and splitting (1450), into two cases.
% 19.47/5.11 |-Branch one:
% 19.47/5.11 | (1451) unit = e0
% 19.47/5.11 |
% 19.47/5.11 | From (1451) and (153) follows:
% 19.47/5.11 | (3075) op(e0, e2) = e2
% 19.47/5.11 |
% 19.47/5.11 | From (1451) and (130) follows:
% 19.47/5.11 | (1813) op(e0, e1) = e1
% 19.47/5.11 |
% 19.47/5.11 | From (1451) and (112) follows:
% 19.47/5.11 | (3077) op(e3, e0) = e3
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields:
% 19.47/5.11 | (452) e4 = e3
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e0, e2, e2, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e2, yields:
% 19.47/5.11 | (483) e3 = e2
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e0, e1, e1, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e1, yields:
% 19.47/5.11 | (934) e4 = e1
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (452,934) yields a new equation:
% 19.47/5.11 | (832) e3 = e1
% 19.47/5.11 |
% 19.47/5.11 | Simplifying 832 yields:
% 19.47/5.11 | (833) e3 = e1
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (833,483) yields a new equation:
% 19.47/5.11 | (760) e2 = e1
% 19.47/5.11 |
% 19.47/5.11 | Equations (760) can reduce 134 to:
% 19.47/5.11 | (267) $false
% 19.47/5.11 |
% 19.47/5.11 |-The branch is then unsatisfiable
% 19.47/5.11 |-Branch two:
% 19.47/5.11 | (564) ~ (unit = e0)
% 19.47/5.11 | (1454) unit = e3 | unit = e1
% 19.47/5.11 |
% 19.47/5.11 +-Applying beta-rule and splitting (1454), into two cases.
% 19.47/5.11 |-Branch one:
% 19.47/5.11 | (1455) unit = e3
% 19.47/5.11 |
% 19.47/5.11 | From (1455) and (42) follows:
% 19.47/5.11 | (1456) op(e3, e0) = e0
% 19.47/5.11 |
% 19.47/5.11 | From (1455) and (169) follows:
% 19.47/5.11 | (3089) op(e2, e3) = e2
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields:
% 19.47/5.11 | (327) e4 = e0
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields:
% 19.47/5.11 | (297) e4 = e2
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (297,327) yields a new equation:
% 19.47/5.11 | (352) e2 = e0
% 19.47/5.11 |
% 19.47/5.11 | Simplifying 352 yields:
% 19.47/5.11 | (353) e2 = e0
% 19.47/5.11 |
% 19.47/5.11 | Equations (353) can reduce 45 to:
% 19.47/5.11 | (267) $false
% 19.47/5.11 |
% 19.47/5.11 |-The branch is then unsatisfiable
% 19.47/5.11 |-Branch two:
% 19.47/5.11 | (493) ~ (unit = e3)
% 19.47/5.11 | (1467) unit = e1
% 19.47/5.11 |
% 19.47/5.11 | Equations (1467) can reduce 564 to:
% 19.47/5.11 | (131) ~ (e1 = e0)
% 19.47/5.11 |
% 19.47/5.11 | From (1467) and (153) follows:
% 19.47/5.11 | (3098) op(e1, e2) = e2
% 19.47/5.11 |
% 19.47/5.11 | From (1467) and (169) follows:
% 19.47/5.11 | (3099) op(e2, e1) = e2
% 19.47/5.11 |
% 19.47/5.11 | From (1467) and (220) follows:
% 19.47/5.11 | (1472) op(e0, e1) = e0
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 19.47/5.11 | (760) e2 = e1
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields:
% 19.47/5.11 | (297) e4 = e2
% 19.47/5.11 |
% 19.47/5.11 | Instantiating formula (178) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields:
% 19.47/5.11 | (327) e4 = e0
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (297,327) yields a new equation:
% 19.47/5.11 | (352) e2 = e0
% 19.47/5.11 |
% 19.47/5.11 | Simplifying 352 yields:
% 19.47/5.11 | (353) e2 = e0
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (353,760) yields a new equation:
% 19.47/5.11 | (871) e1 = e0
% 19.47/5.11 |
% 19.47/5.11 | Equations (871) can reduce 131 to:
% 19.47/5.11 | (267) $false
% 19.47/5.11 |
% 19.47/5.11 |-The branch is then unsatisfiable
% 19.47/5.11 |-Branch two:
% 19.47/5.11 | (602) ~ (all_0_19_19 = e4)
% 19.47/5.11 | (341) all_0_20_20 = e4
% 19.47/5.11 |
% 19.47/5.11 | Combining equations (345,341) yields a new equation:
% 19.47/5.11 | (327) e4 = e0
% 19.47/5.11 |
% 19.47/5.11 | Equations (327) can reduce 7 to:
% 19.47/5.11 | (267) $false
% 19.47/5.11 |
% 19.47/5.11 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (461) ~ (all_0_15_15 = e4)
% 19.47/5.12 | (462) all_0_15_15 = e3
% 19.47/5.12 |
% 19.47/5.12 | Equations (462) can reduce 394 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (302) ~ (all_0_9_9 = e4)
% 19.47/5.12 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (73), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (367) all_0_19_19 = e2
% 19.47/5.12 |
% 19.47/5.12 | Equations (367) can reduce 274 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (274) ~ (all_0_19_19 = e2)
% 19.47/5.12 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (211), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (381) all_0_2_2 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (270,381) yields a new equation:
% 19.47/5.12 | (297) e4 = e2
% 19.47/5.12 |
% 19.47/5.12 | Equations (297) can reduce 205 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (257) ~ (all_0_2_2 = e4)
% 19.47/5.12 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (1076), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (644) all_0_19_19 = e4
% 19.47/5.12 |
% 19.47/5.12 | Equations (644) can reduce 968 to:
% 19.47/5.12 | (24) ~ (e4 = e3)
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (1397), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (399) all_0_15_15 = e4
% 19.47/5.12 |
% 19.47/5.12 | Equations (399) can reduce 230 to:
% 19.47/5.12 | (205) ~ (e4 = e2)
% 19.47/5.12 |
% 19.47/5.12 | Equations (399) can reduce 183 to:
% 19.47/5.12 | (217) ~ (e4 = e1)
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (1401), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (306) all_0_11_11 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (309,306) yields a new equation:
% 19.47/5.12 | (934) e4 = e1
% 19.47/5.12 |
% 19.47/5.12 | Equations (934) can reduce 217 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (303) ~ (all_0_11_11 = e4)
% 19.47/5.12 | (301) all_0_12_12 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (374,301) yields a new equation:
% 19.47/5.12 | (297) e4 = e2
% 19.47/5.12 |
% 19.47/5.12 | Equations (297) can reduce 205 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (461) ~ (all_0_15_15 = e4)
% 19.47/5.12 | (599) all_0_18_18 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (599,679) yields a new equation:
% 19.47/5.12 | (620) e4 = e3
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 620 yields:
% 19.47/5.12 | (452) e4 = e3
% 19.47/5.12 |
% 19.47/5.12 | Equations (452) can reduce 24 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (602) ~ (all_0_19_19 = e4)
% 19.47/5.12 | (1080) all_0_19_19 = e3 | all_0_19_19 = e1
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (159), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (1629) all_0_16_16 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (1629,741) yields a new equation:
% 19.47/5.12 | (1500) e4 = e1
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 1500 yields:
% 19.47/5.12 | (934) e4 = e1
% 19.47/5.12 |
% 19.47/5.12 | Equations (934) can reduce 217 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (1965) ~ (all_0_16_16 = e4)
% 19.47/5.12 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 19.47/5.12 |
% 19.47/5.12 | Equations (741) can reduce 1965 to:
% 19.47/5.12 | (721) ~ (e4 = e1)
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 721 yields:
% 19.47/5.12 | (217) ~ (e4 = e1)
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (624), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (435) all_0_7_7 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (435,713) yields a new equation:
% 19.47/5.12 | (620) e4 = e3
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 620 yields:
% 19.47/5.12 | (452) e4 = e3
% 19.47/5.12 |
% 19.47/5.12 | Equations (452) can reduce 24 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (450) ~ (all_0_7_7 = e4)
% 19.47/5.12 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (628), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (306) all_0_11_11 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (309,306) yields a new equation:
% 19.47/5.12 | (934) e4 = e1
% 19.47/5.12 |
% 19.47/5.12 | Equations (934) can reduce 217 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (303) ~ (all_0_11_11 = e4)
% 19.47/5.12 | (644) all_0_19_19 = e4
% 19.47/5.12 |
% 19.47/5.12 | Equations (644) can reduce 602 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (265) ~ (all_0_5_5 = e1)
% 19.47/5.12 | (1385) all_0_7_7 = e1
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (713,1385) yields a new equation:
% 19.47/5.12 | (832) e3 = e1
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 832 yields:
% 19.47/5.12 | (833) e3 = e1
% 19.47/5.12 |
% 19.47/5.12 | Equations (833) can reduce 133 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (1269) ~ (all_0_7_7 = e3)
% 19.47/5.12 | (1081) all_0_19_19 = e3
% 19.47/5.12 |
% 19.47/5.12 | Equations (1081) can reduce 968 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (464) ~ (all_0_14_14 = e3)
% 19.47/5.12 | (462) all_0_15_15 = e3
% 19.47/5.12 |
% 19.47/5.12 | Equations (462) can reduce 38 to:
% 19.47/5.12 | (464) ~ (all_0_14_14 = e3)
% 19.47/5.12 |
% 19.47/5.12 | Equations (462) can reduce 230 to:
% 19.47/5.12 | (191) ~ (e3 = e2)
% 19.47/5.12 |
% 19.47/5.12 | Equations (462) can reduce 183 to:
% 19.47/5.12 | (133) ~ (e3 = e1)
% 19.47/5.12 |
% 19.47/5.12 | Equations (462) can reduce 98 to:
% 19.47/5.12 | (61) ~ (e3 = e0)
% 19.47/5.12 |
% 19.47/5.12 | From (462) and (83) follows:
% 19.47/5.12 | (1284) op(e1, e2) = e3
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (143), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (842) all_0_17_17 = e3
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (288,842) yields a new equation:
% 19.47/5.12 | (483) e3 = e2
% 19.47/5.12 |
% 19.47/5.12 | Equations (483) can reduce 191 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (1858) ~ (all_0_17_17 = e3)
% 19.47/5.12 | (2250) all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 19.47/5.12 |
% 19.47/5.12 | Equations (288) can reduce 1858 to:
% 19.47/5.12 | (235) ~ (e3 = e2)
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 235 yields:
% 19.47/5.12 | (191) ~ (e3 = e2)
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (147), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (431) all_0_6_6 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (431,437) yields a new equation:
% 19.47/5.12 | (847) e4 = e2
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 847 yields:
% 19.47/5.12 | (297) e4 = e2
% 19.47/5.12 |
% 19.47/5.12 | Equations (297) can reduce 205 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (400) ~ (all_0_6_6 = e4)
% 19.47/5.12 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (1397), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (399) all_0_15_15 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (462,399) yields a new equation:
% 19.47/5.12 | (452) e4 = e3
% 19.47/5.12 |
% 19.47/5.12 | Equations (452) can reduce 24 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (461) ~ (all_0_15_15 = e4)
% 19.47/5.12 | (599) all_0_18_18 = e4
% 19.47/5.12 |
% 19.47/5.12 | Equations (599) can reduce 232 to:
% 19.47/5.12 | (205) ~ (e4 = e2)
% 19.47/5.12 |
% 19.47/5.12 | From (599) and (142) follows:
% 19.47/5.12 | (1408) op(e0, e2) = e4
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (97), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (1625) all_0_13_13 = e4
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (239,1625) yields a new equation:
% 19.47/5.12 | (297) e4 = e2
% 19.47/5.12 |
% 19.47/5.12 | Equations (297) can reduce 205 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (1628) ~ (all_0_13_13 = e4)
% 19.47/5.12 | (2987) all_0_14_14 = e4 | all_0_15_15 = e4
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (102), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (804) all_0_1_1 = e3
% 19.47/5.12 |
% 19.47/5.12 | Combining equations (804,331) yields a new equation:
% 19.47/5.12 | (1102) e3 = e0
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 1102 yields:
% 19.47/5.12 | (1103) e3 = e0
% 19.47/5.12 |
% 19.47/5.12 | Equations (1103) can reduce 61 to:
% 19.47/5.12 | (267) $false
% 19.47/5.12 |
% 19.47/5.12 |-The branch is then unsatisfiable
% 19.47/5.12 |-Branch two:
% 19.47/5.12 | (829) ~ (all_0_1_1 = e3)
% 19.47/5.12 | (830) all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (830), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (456) all_0_5_5 = e3
% 19.47/5.12 |
% 19.47/5.12 | Equations (456) can reduce 55 to:
% 19.47/5.12 | (1268) ~ (all_0_7_7 = e3)
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 1268 yields:
% 19.47/5.12 | (1269) ~ (all_0_7_7 = e3)
% 19.47/5.12 |
% 19.47/5.12 | Equations (456) can reduce 2 to:
% 19.47/5.12 | (3214) ~ (all_0_9_9 = e3)
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 3214 yields:
% 19.47/5.12 | (124) ~ (all_0_9_9 = e3)
% 19.47/5.12 |
% 19.47/5.12 | Equations (456) can reduce 53 to:
% 19.47/5.12 | (807) ~ (e4 = e3)
% 19.47/5.12 |
% 19.47/5.12 | Simplifying 807 yields:
% 19.47/5.12 | (24) ~ (e4 = e3)
% 19.47/5.12 |
% 19.47/5.12 | Equations (456) can reduce 238 to:
% 19.47/5.12 | (191) ~ (e3 = e2)
% 19.47/5.12 |
% 19.47/5.12 +-Applying beta-rule and splitting (75), into two cases.
% 19.47/5.12 |-Branch one:
% 19.47/5.12 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 19.47/5.13 |
% 19.47/5.13 +-Applying beta-rule and splitting (472), into two cases.
% 19.47/5.13 |-Branch one:
% 19.47/5.13 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 19.47/5.13 |
% 19.47/5.13 +-Applying beta-rule and splitting (473), into two cases.
% 19.47/5.13 |-Branch one:
% 19.47/5.13 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 19.47/5.13 |
% 19.47/5.13 +-Applying beta-rule and splitting (474), into two cases.
% 19.47/5.13 |-Branch one:
% 19.47/5.13 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 19.47/5.13 |
% 19.47/5.13 | Applying alpha-rule on (475) yields:
% 19.47/5.13 | (270) all_0_2_2 = e2
% 19.47/5.13 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 19.47/5.13 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 19.47/5.13 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 19.47/5.13 | (310) ~ (all_0_9_9 = e1)
% 19.47/5.13 | (481) ~ (unit = e1)
% 19.47/5.13 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 19.47/5.13 |
% 19.47/5.13 +-Applying beta-rule and splitting (126), into two cases.
% 19.47/5.13 |-Branch one:
% 19.47/5.13 | (459) all_0_5_5 = e1
% 19.47/5.13 |
% 19.47/5.13 | Combining equations (456,459) yields a new equation:
% 19.47/5.13 | (832) e3 = e1
% 19.47/5.13 |
% 19.47/5.13 | Simplifying 832 yields:
% 19.47/5.13 | (833) e3 = e1
% 19.47/5.13 |
% 19.47/5.13 | Equations (833) can reduce 133 to:
% 19.47/5.13 | (267) $false
% 19.47/5.13 |
% 19.47/5.13 |-The branch is then unsatisfiable
% 19.47/5.13 |-Branch two:
% 19.47/5.13 | (265) ~ (all_0_5_5 = e1)
% 19.47/5.13 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 19.47/5.13 |
% 19.47/5.13 +-Applying beta-rule and splitting (1035), into two cases.
% 19.47/5.13 |-Branch one:
% 19.47/5.13 | (356) all_0_9_9 = e1
% 19.47/5.13 |
% 19.47/5.13 | Equations (356) can reduce 310 to:
% 19.47/5.13 | (267) $false
% 19.47/5.13 |
% 19.47/5.13 |-The branch is then unsatisfiable
% 19.47/5.13 |-Branch two:
% 19.47/5.13 | (310) ~ (all_0_9_9 = e1)
% 19.47/5.13 | (913) all_0_17_17 = e1
% 19.47/5.13 |
% 19.47/5.13 | Combining equations (288,913) yields a new equation:
% 19.47/5.13 | (759) e2 = e1
% 19.47/5.13 |
% 19.47/5.13 | Simplifying 759 yields:
% 19.47/5.13 | (760) e2 = e1
% 19.47/5.13 |
% 19.47/5.13 | Equations (760) can reduce 134 to:
% 19.47/5.13 | (267) $false
% 19.47/5.13 |
% 19.47/5.13 |-The branch is then unsatisfiable
% 19.47/5.13 |-Branch two:
% 19.47/5.13 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 19.80/5.13 |
% 19.80/5.13 | Applying alpha-rule on (485) yields:
% 19.80/5.13 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 19.80/5.13 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 19.80/5.13 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 19.80/5.13 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 19.80/5.13 | (315) all_0_9_9 = e4
% 19.80/5.13 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 19.80/5.13 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 19.80/5.13 | (493) ~ (unit = e3)
% 19.80/5.13 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 19.80/5.13 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 19.80/5.13 | (496) ~ (all_0_2_2 = e3)
% 19.80/5.13 |
% 19.80/5.13 | Equations (315) can reduce 210 to:
% 19.80/5.13 | (3255) ~ (all_0_14_14 = e4)
% 19.80/5.13 |
% 19.80/5.13 | Simplifying 3255 yields:
% 19.80/5.13 | (514) ~ (all_0_14_14 = e4)
% 19.80/5.13 |
% 19.80/5.13 | Equations (315) can reduce 124 to:
% 19.80/5.13 | (24) ~ (e4 = e3)
% 19.80/5.13 |
% 19.80/5.13 +-Applying beta-rule and splitting (2250), into two cases.
% 19.80/5.13 |-Branch one:
% 19.80/5.13 | (679) all_0_18_18 = e3
% 19.80/5.13 |
% 19.80/5.13 | Combining equations (679,599) yields a new equation:
% 19.80/5.13 | (452) e4 = e3
% 19.80/5.13 |
% 19.80/5.13 | Equations (452) can reduce 24 to:
% 19.80/5.13 | (267) $false
% 19.80/5.13 |
% 19.80/5.13 |-The branch is then unsatisfiable
% 19.80/5.13 |-Branch two:
% 19.80/5.13 | (468) ~ (all_0_18_18 = e3)
% 19.80/5.13 | (2255) all_0_19_19 = e3 | all_0_20_20 = e3
% 19.80/5.13 |
% 19.80/5.13 | Equations (599) can reduce 468 to:
% 19.80/5.13 | (24) ~ (e4 = e3)
% 19.80/5.13 |
% 19.80/5.13 +-Applying beta-rule and splitting (2987), into two cases.
% 19.80/5.13 |-Branch one:
% 19.80/5.13 | (470) all_0_14_14 = e4
% 19.80/5.13 |
% 19.80/5.13 | Equations (470) can reduce 514 to:
% 19.80/5.13 | (267) $false
% 19.80/5.13 |
% 19.80/5.13 |-The branch is then unsatisfiable
% 19.80/5.13 |-Branch two:
% 19.80/5.13 | (514) ~ (all_0_14_14 = e4)
% 19.80/5.13 | (399) all_0_15_15 = e4
% 19.80/5.13 |
% 19.80/5.13 | Combining equations (462,399) yields a new equation:
% 19.80/5.13 | (452) e4 = e3
% 19.80/5.13 |
% 19.80/5.13 | Equations (452) can reduce 24 to:
% 19.80/5.13 | (267) $false
% 19.80/5.13 |
% 19.80/5.13 |-The branch is then unsatisfiable
% 19.80/5.13 |-Branch two:
% 19.80/5.13 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 19.80/5.13 |
% 19.80/5.13 | Applying alpha-rule on (498) yields:
% 19.80/5.13 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 19.80/5.13 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 19.80/5.13 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 19.80/5.13 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 19.80/5.13 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 19.80/5.13 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 19.80/5.13 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 19.80/5.13 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 19.80/5.13 | (358) ~ (all_0_12_12 = e4)
% 19.80/5.13 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 19.80/5.13 | (255) ~ (all_0_1_1 = e4)
% 19.80/5.13 | (510) ~ (all_0_17_17 = e4)
% 19.80/5.13 | (257) ~ (all_0_2_2 = e4)
% 19.80/5.13 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 19.80/5.13 | (303) ~ (all_0_11_11 = e4)
% 19.80/5.13 | (514) ~ (all_0_14_14 = e4)
% 19.80/5.13 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 19.80/5.13 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 19.80/5.13 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 19.80/5.13 |
% 19.80/5.13 +-Applying beta-rule and splitting (506), into two cases.
% 19.80/5.13 |-Branch one:
% 19.80/5.13 | (674) ~ (all_0_18_18 = e4)
% 19.80/5.13 |
% 19.80/5.13 | Equations (599) can reduce 674 to:
% 19.80/5.13 | (267) $false
% 19.80/5.13 |
% 19.80/5.13 |-The branch is then unsatisfiable
% 19.80/5.13 |-Branch two:
% 19.80/5.13 | (599) all_0_18_18 = e4
% 19.80/5.13 | (3293) all_0_16_16 = e2 & ~ (unit = e4)
% 19.80/5.13 |
% 19.80/5.13 | Applying alpha-rule on (3293) yields:
% 19.80/5.13 | (284) all_0_16_16 = e2
% 19.80/5.13 | (1449) ~ (unit = e4)
% 19.80/5.13 |
% 19.80/5.13 | Combining equations (741,284) yields a new equation:
% 19.80/5.13 | (760) e2 = e1
% 19.80/5.13 |
% 19.80/5.13 | Equations (760) can reduce 134 to:
% 19.80/5.13 | (267) $false
% 19.80/5.13 |
% 19.80/5.13 |-The branch is then unsatisfiable
% 19.80/5.13 |-Branch two:
% 19.80/5.13 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 19.80/5.13 |
% 19.80/5.13 | Applying alpha-rule on (519) yields:
% 19.80/5.13 | (520) ~ (all_0_1_1 = e2)
% 19.80/5.14 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 19.80/5.14 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 19.80/5.14 | (226) ~ (all_0_11_11 = e2)
% 19.80/5.14 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 19.80/5.14 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 19.80/5.14 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 19.80/5.14 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 19.80/5.14 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 19.80/5.14 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 19.80/5.14 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 19.80/5.14 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 19.80/5.14 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 19.80/5.14 | (272) ~ (all_0_3_3 = e2)
% 19.80/5.14 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 19.80/5.14 | (274) ~ (all_0_19_19 = e2)
% 19.80/5.14 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 19.80/5.14 | (537) ~ (all_0_7_7 = e2)
% 19.80/5.14 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 19.80/5.14 | (224) ~ (all_0_9_9 = e2)
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (522), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (361) ~ (all_0_17_17 = e2)
% 19.80/5.14 |
% 19.80/5.14 | Equations (288) can reduce 361 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (288) all_0_17_17 = e2
% 19.80/5.14 | (3322) all_0_18_18 = e3 & ~ (unit = e2)
% 19.80/5.14 |
% 19.80/5.14 | Applying alpha-rule on (3322) yields:
% 19.80/5.14 | (679) all_0_18_18 = e3
% 19.80/5.14 | (1432) ~ (unit = e2)
% 19.80/5.14 |
% 19.80/5.14 | Combining equations (679,599) yields a new equation:
% 19.80/5.14 | (452) e4 = e3
% 19.80/5.14 |
% 19.80/5.14 | Equations (452) can reduce 24 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 19.80/5.14 |
% 19.80/5.14 | Applying alpha-rule on (558) yields:
% 19.80/5.14 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 19.80/5.14 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 19.80/5.14 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 19.80/5.14 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 19.80/5.14 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 19.80/5.14 | (564) ~ (unit = e0)
% 19.80/5.14 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 19.80/5.14 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 19.80/5.14 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 19.80/5.14 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 19.80/5.14 | (355) ~ (all_0_9_9 = e0)
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (32), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (384) all_0_2_2 = e3
% 19.80/5.14 |
% 19.80/5.14 | Combining equations (270,384) yields a new equation:
% 19.80/5.14 | (483) e3 = e2
% 19.80/5.14 |
% 19.80/5.14 | Equations (483) can reduce 191 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (496) ~ (all_0_2_2 = e3)
% 19.80/5.14 | (2994) all_0_7_7 = e3 | all_0_19_19 = e3
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (2994), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (713) all_0_7_7 = e3
% 19.80/5.14 |
% 19.80/5.14 | Equations (713) can reduce 1269 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (1269) ~ (all_0_7_7 = e3)
% 19.80/5.14 | (1081) all_0_19_19 = e3
% 19.80/5.14 |
% 19.80/5.14 | Equations (1081) can reduce 48 to:
% 19.80/5.14 | (1269) ~ (all_0_7_7 = e3)
% 19.80/5.14 |
% 19.80/5.14 | From (1081) and (209) follows:
% 19.80/5.14 | (2259) op(e0, e1) = e3
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (11), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (1125) all_0_7_7 = e2
% 19.80/5.14 |
% 19.80/5.14 | Equations (1125) can reduce 537 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (537) ~ (all_0_7_7 = e2)
% 19.80/5.14 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (3353), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (435) all_0_7_7 = e4
% 19.80/5.14 |
% 19.80/5.14 | Equations (435) can reduce 450 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (450) ~ (all_0_7_7 = e4)
% 19.80/5.14 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (3357), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (713) all_0_7_7 = e3
% 19.80/5.14 |
% 19.80/5.14 | Equations (713) can reduce 1269 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (1269) ~ (all_0_7_7 = e3)
% 19.80/5.14 | (1385) all_0_7_7 = e1
% 19.80/5.14 |
% 19.80/5.14 | Equations (1385) can reduce 171 to:
% 19.80/5.14 | (1386) ~ (all_0_11_11 = e1)
% 19.80/5.14 |
% 19.80/5.14 | Simplifying 1386 yields:
% 19.80/5.14 | (1387) ~ (all_0_11_11 = e1)
% 19.80/5.14 |
% 19.80/5.14 | From (1385) and (144) follows:
% 19.80/5.14 | (1388) op(e3, e1) = e1
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (63), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (356) all_0_9_9 = e1
% 19.80/5.14 |
% 19.80/5.14 | Equations (356) can reduce 355 to:
% 19.80/5.14 | (131) ~ (e1 = e0)
% 19.80/5.14 |
% 19.80/5.14 | From (356) and (164) follows:
% 19.80/5.14 | (3367) op(e2, e3) = e1
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (54), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (1420) unit = e2
% 19.80/5.14 |
% 19.80/5.14 | From (1420) and (52) follows:
% 19.80/5.14 | (1421) op(e2, e4) = e4
% 19.80/5.14 |
% 19.80/5.14 | From (1420) and (112) follows:
% 19.80/5.14 | (2453) op(e3, e2) = e3
% 19.80/5.14 |
% 19.80/5.14 | From (1420) and (146) follows:
% 19.80/5.14 | (1422) op(e1, e2) = e1
% 19.80/5.14 |
% 19.80/5.14 | From (1420) and (220) follows:
% 19.80/5.14 | (1423) op(e0, e2) = e0
% 19.80/5.14 |
% 19.80/5.14 | Instantiating formula (178) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 19.80/5.14 | (483) e3 = e2
% 19.80/5.14 |
% 19.80/5.14 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 19.80/5.14 | (452) e4 = e3
% 19.80/5.14 |
% 19.80/5.14 | Instantiating formula (178) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields:
% 19.80/5.14 | (833) e3 = e1
% 19.80/5.14 |
% 19.80/5.14 | Instantiating formula (178) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields:
% 19.80/5.14 | (327) e4 = e0
% 19.80/5.14 |
% 19.80/5.14 | Combining equations (452,327) yields a new equation:
% 19.80/5.14 | (1102) e3 = e0
% 19.80/5.14 |
% 19.80/5.14 | Simplifying 1102 yields:
% 19.80/5.14 | (1103) e3 = e0
% 19.80/5.14 |
% 19.80/5.14 | Combining equations (1103,483) yields a new equation:
% 19.80/5.14 | (353) e2 = e0
% 19.80/5.14 |
% 19.80/5.14 | Combining equations (833,483) yields a new equation:
% 19.80/5.14 | (760) e2 = e1
% 19.80/5.14 |
% 19.80/5.14 | Combining equations (760,353) yields a new equation:
% 19.80/5.14 | (1156) e1 = e0
% 19.80/5.14 |
% 19.80/5.14 | Simplifying 1156 yields:
% 19.80/5.14 | (871) e1 = e0
% 19.80/5.14 |
% 19.80/5.14 | Equations (871) can reduce 131 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (1432) ~ (unit = e2)
% 19.80/5.14 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (1433), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (1434) unit = e4
% 19.80/5.14 |
% 19.80/5.14 | From (1434) and (112) follows:
% 19.80/5.14 | (1437) op(e3, e4) = e3
% 19.80/5.14 |
% 19.80/5.14 | From (1434) and (169) follows:
% 19.80/5.14 | (1438) op(e2, e4) = e2
% 19.80/5.14 |
% 19.80/5.14 | From (1434) and (146) follows:
% 19.80/5.14 | (2338) op(e1, e4) = e1
% 19.80/5.14 |
% 19.80/5.14 | Instantiating formula (178) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields:
% 19.80/5.14 | (1103) e3 = e0
% 19.80/5.14 |
% 19.80/5.14 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 19.80/5.14 | (483) e3 = e2
% 19.80/5.14 |
% 19.80/5.14 | Instantiating formula (178) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields:
% 19.80/5.14 | (760) e2 = e1
% 19.80/5.14 |
% 19.80/5.14 | Combining equations (483,1103) yields a new equation:
% 19.80/5.14 | (352) e2 = e0
% 19.80/5.14 |
% 19.80/5.14 | Simplifying 352 yields:
% 19.80/5.14 | (353) e2 = e0
% 19.80/5.14 |
% 19.80/5.14 | Combining equations (353,760) yields a new equation:
% 19.80/5.14 | (871) e1 = e0
% 19.80/5.14 |
% 19.80/5.14 | Equations (871) can reduce 131 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (1449) ~ (unit = e4)
% 19.80/5.14 | (1450) unit = e3 | unit = e1 | unit = e0
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (1450), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (1451) unit = e0
% 19.80/5.14 |
% 19.80/5.14 | Equations (1451) can reduce 564 to:
% 19.80/5.14 | (267) $false
% 19.80/5.14 |
% 19.80/5.14 |-The branch is then unsatisfiable
% 19.80/5.14 |-Branch two:
% 19.80/5.14 | (564) ~ (unit = e0)
% 19.80/5.14 | (1454) unit = e3 | unit = e1
% 19.80/5.14 |
% 19.80/5.14 +-Applying beta-rule and splitting (1454), into two cases.
% 19.80/5.14 |-Branch one:
% 19.80/5.14 | (1455) unit = e3
% 19.80/5.14 |
% 19.80/5.14 | From (1455) and (169) follows:
% 19.80/5.14 | (3089) op(e2, e3) = e2
% 19.80/5.14 |
% 19.80/5.14 | From (1455) and (220) follows:
% 19.80/5.14 | (2357) op(e0, e3) = e0
% 19.80/5.14 |
% 19.80/5.14 | Instantiating formula (178) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 19.80/5.14 | (760) e2 = e1
% 19.80/5.14 |
% 19.80/5.14 | Instantiating formula (178) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields:
% 19.80/5.15 | (353) e2 = e0
% 19.80/5.15 |
% 19.80/5.15 | Combining equations (760,353) yields a new equation:
% 19.80/5.15 | (1156) e1 = e0
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 1156 yields:
% 19.80/5.15 | (871) e1 = e0
% 19.80/5.15 |
% 19.80/5.15 | Equations (871) can reduce 131 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (493) ~ (unit = e3)
% 19.80/5.15 | (1467) unit = e1
% 19.80/5.15 |
% 19.80/5.15 | Equations (1467) can reduce 564 to:
% 19.80/5.15 | (131) ~ (e1 = e0)
% 19.80/5.15 |
% 19.80/5.15 | From (1467) and (112) follows:
% 19.80/5.15 | (1471) op(e3, e1) = e3
% 19.80/5.15 |
% 19.80/5.15 | From (1467) and (220) follows:
% 19.80/5.15 | (1472) op(e0, e1) = e0
% 19.80/5.15 |
% 19.80/5.15 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 19.80/5.15 | (833) e3 = e1
% 19.80/5.15 |
% 19.80/5.15 | Instantiating formula (178) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 19.80/5.15 | (1103) e3 = e0
% 19.80/5.15 |
% 19.80/5.15 | Combining equations (833,1103) yields a new equation:
% 19.80/5.15 | (1156) e1 = e0
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 1156 yields:
% 19.80/5.15 | (871) e1 = e0
% 19.80/5.15 |
% 19.80/5.15 | Equations (871) can reduce 131 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (310) ~ (all_0_9_9 = e1)
% 19.80/5.15 | (309) all_0_11_11 = e1
% 19.80/5.15 |
% 19.80/5.15 | Equations (309) can reduce 1387 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (392) ~ (all_0_5_5 = e3)
% 19.80/5.15 | (836) all_0_14_14 = e3 | all_0_17_17 = e3
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (836), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (391) all_0_14_14 = e3
% 19.80/5.15 |
% 19.80/5.15 | Equations (391) can reduce 464 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (464) ~ (all_0_14_14 = e3)
% 19.80/5.15 | (842) all_0_17_17 = e3
% 19.80/5.15 |
% 19.80/5.15 | Combining equations (842,288) yields a new equation:
% 19.80/5.15 | (545) e3 = e2
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 545 yields:
% 19.80/5.15 | (483) e3 = e2
% 19.80/5.15 |
% 19.80/5.15 | Equations (483) can reduce 191 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (336) ~ (all_0_20_20 = e0)
% 19.80/5.15 | (348) all_0_20_20 = e3
% 19.80/5.15 |
% 19.80/5.15 | Equations (348) can reduce 325 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (320) ~ (all_0_1_1 = e0)
% 19.80/5.15 | (869) all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (869), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (406) all_0_5_5 = e0
% 19.80/5.15 |
% 19.80/5.15 | Equations (406) can reduce 422 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (422) ~ (all_0_5_5 = e0)
% 19.80/5.15 | (874) all_0_9_9 = e0 | all_0_17_17 = e0
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (874), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (319) all_0_9_9 = e0
% 19.80/5.15 |
% 19.80/5.15 | Equations (319) can reduce 355 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (355) ~ (all_0_9_9 = e0)
% 19.80/5.15 | (351) all_0_17_17 = e0
% 19.80/5.15 |
% 19.80/5.15 | Combining equations (351,288) yields a new equation:
% 19.80/5.15 | (353) e2 = e0
% 19.80/5.15 |
% 19.80/5.15 | Equations (353) can reduce 45 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (223) ~ (all_0_6_6 = e2)
% 19.80/5.15 | (1124) all_0_7_7 = e2 | all_0_8_8 = e2
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (1124), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (1125) all_0_7_7 = e2
% 19.80/5.15 |
% 19.80/5.15 | Equations (1125) can reduce 537 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (537) ~ (all_0_7_7 = e2)
% 19.80/5.15 | (281) all_0_8_8 = e2
% 19.80/5.15 |
% 19.80/5.15 | Combining equations (296,281) yields a new equation:
% 19.80/5.15 | (847) e4 = e2
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 847 yields:
% 19.80/5.15 | (297) e4 = e2
% 19.80/5.15 |
% 19.80/5.15 | Equations (297) can reduce 205 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (379) ~ (all_0_2_2 = e2)
% 19.80/5.15 | (380) all_0_2_2 = e4 | all_0_2_2 = e3
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (43), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (540) all_0_1_1 = e2
% 19.80/5.15 |
% 19.80/5.15 | Equations (540) can reduce 118 to:
% 19.80/5.15 | (1240) ~ (all_0_5_5 = e2)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 1240 yields:
% 19.80/5.15 | (238) ~ (all_0_5_5 = e2)
% 19.80/5.15 |
% 19.80/5.15 | Equations (540) can reduce 13 to:
% 19.80/5.15 | (1593) ~ (all_0_9_9 = e2)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 1593 yields:
% 19.80/5.15 | (224) ~ (all_0_9_9 = e2)
% 19.80/5.15 |
% 19.80/5.15 | Equations (540) can reduce 136 to:
% 19.80/5.15 | (241) ~ (all_0_14_14 = e2)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 241 yields:
% 19.80/5.15 | (242) ~ (all_0_14_14 = e2)
% 19.80/5.15 |
% 19.80/5.15 | Equations (540) can reduce 36 to:
% 19.80/5.15 | (1597) ~ (all_0_17_17 = e2)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 1597 yields:
% 19.80/5.15 | (361) ~ (all_0_17_17 = e2)
% 19.80/5.15 |
% 19.80/5.15 | From (540) and (139) follows:
% 19.80/5.15 | (1244) op(e4, e3) = e2
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (380), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (381) all_0_2_2 = e4
% 19.80/5.15 |
% 19.80/5.15 | Equations (381) can reduce 257 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (257) ~ (all_0_2_2 = e4)
% 19.80/5.15 | (384) all_0_2_2 = e3
% 19.80/5.15 |
% 19.80/5.15 | Equations (384) can reduce 208 to:
% 19.80/5.15 | (385) ~ (all_0_3_3 = e3)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 385 yields:
% 19.80/5.15 | (386) ~ (all_0_3_3 = e3)
% 19.80/5.15 |
% 19.80/5.15 | Equations (384) can reduce 9 to:
% 19.80/5.15 | (1268) ~ (all_0_7_7 = e3)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 1268 yields:
% 19.80/5.15 | (1269) ~ (all_0_7_7 = e3)
% 19.80/5.15 |
% 19.80/5.15 | Equations (384) can reduce 132 to:
% 19.80/5.15 | (3477) ~ (all_0_11_11 = e3)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 3477 yields:
% 19.80/5.15 | (203) ~ (all_0_11_11 = e3)
% 19.80/5.15 |
% 19.80/5.15 | Equations (384) can reduce 257 to:
% 19.80/5.15 | (807) ~ (e4 = e3)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 807 yields:
% 19.80/5.15 | (24) ~ (e4 = e3)
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (125), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (265) ~ (all_0_5_5 = e1)
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (160), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (672) all_0_3_3 = e3
% 19.80/5.15 |
% 19.80/5.15 | Equations (672) can reduce 386 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (386) ~ (all_0_3_3 = e3)
% 19.80/5.15 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (822), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (425) all_0_8_8 = e3
% 19.80/5.15 |
% 19.80/5.15 | Combining equations (296,425) yields a new equation:
% 19.80/5.15 | (620) e4 = e3
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 620 yields:
% 19.80/5.15 | (452) e4 = e3
% 19.80/5.15 |
% 19.80/5.15 | Equations (452) can reduce 24 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (724) ~ (all_0_8_8 = e3)
% 19.80/5.15 | (348) all_0_20_20 = e3
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (78), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (325) ~ (all_0_20_20 = e3)
% 19.80/5.15 |
% 19.80/5.15 | Equations (348) can reduce 325 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (348) all_0_20_20 = e3
% 19.80/5.15 | (351) all_0_17_17 = e0
% 19.80/5.15 |
% 19.80/5.15 | Equations (351) can reduce 119 to:
% 19.80/5.15 | (422) ~ (all_0_5_5 = e0)
% 19.80/5.15 |
% 19.80/5.15 | Equations (351) can reduce 361 to:
% 19.80/5.15 | (323) ~ (e2 = e0)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 323 yields:
% 19.80/5.15 | (45) ~ (e2 = e0)
% 19.80/5.15 |
% 19.80/5.15 | Equations (351) can reduce 720 to:
% 19.80/5.15 | (788) ~ (e1 = e0)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 788 yields:
% 19.80/5.15 | (131) ~ (e1 = e0)
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (175), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (1002) all_0_4_4 = e1
% 19.80/5.15 |
% 19.80/5.15 | Combining equations (1002,785) yields a new equation:
% 19.80/5.15 | (1156) e1 = e0
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 1156 yields:
% 19.80/5.15 | (871) e1 = e0
% 19.80/5.15 |
% 19.80/5.15 | Equations (871) can reduce 131 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (742) ~ (all_0_4_4 = e1)
% 19.80/5.15 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (184), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (402) all_0_5_5 = e2
% 19.80/5.15 |
% 19.80/5.15 | Equations (402) can reduce 238 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (238) ~ (all_0_5_5 = e2)
% 19.80/5.15 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (1292), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (459) all_0_5_5 = e1
% 19.80/5.15 |
% 19.80/5.15 | Equations (459) can reduce 265 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (265) ~ (all_0_5_5 = e1)
% 19.80/5.15 | (1385) all_0_7_7 = e1
% 19.80/5.15 |
% 19.80/5.15 | Equations (1385) can reduce 55 to:
% 19.80/5.15 | (265) ~ (all_0_5_5 = e1)
% 19.80/5.15 |
% 19.80/5.15 | Equations (1385) can reduce 23 to:
% 19.80/5.15 | (34) ~ (all_0_6_6 = e1)
% 19.80/5.15 |
% 19.80/5.15 | Equations (1385) can reduce 4 to:
% 19.80/5.15 | (131) ~ (e1 = e0)
% 19.80/5.15 |
% 19.80/5.15 | From (1385) and (144) follows:
% 19.80/5.15 | (1388) op(e3, e1) = e1
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (167), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (266) all_0_11_11 = e2
% 19.80/5.15 |
% 19.80/5.15 | Equations (266) can reduce 226 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (226) ~ (all_0_11_11 = e2)
% 19.80/5.15 | (269) all_0_11_11 = e4 | all_0_11_11 = e1
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (405), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (406) all_0_5_5 = e0
% 19.80/5.15 |
% 19.80/5.15 | Equations (406) can reduce 422 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (422) ~ (all_0_5_5 = e0)
% 19.80/5.15 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (455), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (456) all_0_5_5 = e3
% 19.80/5.15 |
% 19.80/5.15 | Equations (456) can reduce 88 to:
% 19.80/5.15 | (1272) ~ (all_0_14_14 = e3)
% 19.80/5.15 |
% 19.80/5.15 | Simplifying 1272 yields:
% 19.80/5.15 | (464) ~ (all_0_14_14 = e3)
% 19.80/5.15 |
% 19.80/5.15 +-Applying beta-rule and splitting (188), into two cases.
% 19.80/5.15 |-Branch one:
% 19.80/5.15 | (387) all_0_14_14 = e2
% 19.80/5.15 |
% 19.80/5.15 | Equations (387) can reduce 242 to:
% 19.80/5.15 | (267) $false
% 19.80/5.15 |
% 19.80/5.15 |-The branch is then unsatisfiable
% 19.80/5.15 |-Branch two:
% 19.80/5.15 | (242) ~ (all_0_14_14 = e2)
% 19.80/5.15 | (390) all_0_14_14 = e4 | all_0_14_14 = e3
% 19.80/5.16 |
% 19.80/5.16 +-Applying beta-rule and splitting (91), into two cases.
% 19.80/5.16 |-Branch one:
% 19.80/5.16 | (391) all_0_14_14 = e3
% 19.80/5.16 |
% 19.80/5.16 | Equations (391) can reduce 464 to:
% 19.80/5.16 | (267) $false
% 19.80/5.16 |
% 19.80/5.16 |-The branch is then unsatisfiable
% 19.80/5.16 |-Branch two:
% 19.80/5.16 | (464) ~ (all_0_14_14 = e3)
% 19.80/5.16 | (462) all_0_15_15 = e3
% 19.80/5.16 |
% 19.80/5.16 | Equations (462) can reduce 151 to:
% 19.80/5.16 | (426) ~ (all_0_6_6 = e3)
% 19.80/5.16 |
% 19.80/5.16 | Equations (462) can reduce 38 to:
% 19.80/5.16 | (464) ~ (all_0_14_14 = e3)
% 19.80/5.16 |
% 19.80/5.16 | Equations (462) can reduce 230 to:
% 19.80/5.16 | (191) ~ (e3 = e2)
% 19.80/5.16 |
% 19.80/5.16 | Equations (462) can reduce 183 to:
% 19.80/5.16 | (133) ~ (e3 = e1)
% 19.80/5.16 |
% 19.80/5.16 | From (462) and (83) follows:
% 19.80/5.16 | (1284) op(e1, e2) = e3
% 19.80/5.16 |
% 19.80/5.16 +-Applying beta-rule and splitting (101), into two cases.
% 19.80/5.16 |-Branch one:
% 19.80/5.16 | (270) all_0_2_2 = e2
% 19.80/5.16 |
% 19.80/5.16 | Combining equations (384,270) yields a new equation:
% 19.80/5.16 | (545) e3 = e2
% 19.80/5.16 |
% 19.80/5.16 | Simplifying 545 yields:
% 19.80/5.16 | (483) e3 = e2
% 19.80/5.16 |
% 19.80/5.16 | Equations (483) can reduce 191 to:
% 19.80/5.16 | (267) $false
% 19.80/5.16 |
% 19.80/5.16 |-The branch is then unsatisfiable
% 19.80/5.16 |-Branch two:
% 19.80/5.16 | (379) ~ (all_0_2_2 = e2)
% 19.80/5.16 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 19.80/5.16 |
% 19.80/5.16 | Equations (384) can reduce 379 to:
% 19.80/5.16 | (191) ~ (e3 = e2)
% 19.80/5.16 |
% 19.80/5.16 +-Applying beta-rule and splitting (390), into two cases.
% 19.80/5.16 |-Branch one:
% 19.80/5.16 | (470) all_0_14_14 = e4
% 19.80/5.16 |
% 19.80/5.16 | Equations (470) can reduce 210 to:
% 19.80/5.16 | (302) ~ (all_0_9_9 = e4)
% 19.80/5.16 |
% 19.80/5.16 | Equations (470) can reduce 242 to:
% 19.80/5.16 | (205) ~ (e4 = e2)
% 19.80/5.16 |
% 19.80/5.16 | From (470) and (117) follows:
% 19.80/5.16 | (1297) op(e1, e3) = e4
% 19.80/5.16 |
% 19.80/5.16 +-Applying beta-rule and splitting (75), into two cases.
% 19.80/5.16 |-Branch one:
% 19.80/5.16 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 19.80/5.16 |
% 19.80/5.16 +-Applying beta-rule and splitting (472), into two cases.
% 19.80/5.16 |-Branch one:
% 19.80/5.16 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 19.80/5.16 |
% 19.80/5.16 +-Applying beta-rule and splitting (473), into two cases.
% 19.80/5.16 |-Branch one:
% 19.80/5.16 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 19.80/5.16 |
% 19.80/5.16 +-Applying beta-rule and splitting (474), into two cases.
% 19.80/5.16 |-Branch one:
% 19.80/5.16 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 19.80/5.16 |
% 19.80/5.16 | Applying alpha-rule on (475) yields:
% 19.80/5.16 | (270) all_0_2_2 = e2
% 19.80/5.16 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 19.80/5.16 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 19.80/5.16 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 19.80/5.16 | (310) ~ (all_0_9_9 = e1)
% 19.80/5.16 | (481) ~ (unit = e1)
% 19.80/5.16 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 19.80/5.16 |
% 19.80/5.16 | Combining equations (384,270) yields a new equation:
% 19.80/5.16 | (545) e3 = e2
% 19.80/5.16 |
% 19.80/5.16 | Simplifying 545 yields:
% 19.80/5.16 | (483) e3 = e2
% 19.80/5.16 |
% 19.80/5.16 | Equations (483) can reduce 191 to:
% 19.80/5.16 | (267) $false
% 19.80/5.16 |
% 19.80/5.16 |-The branch is then unsatisfiable
% 19.80/5.16 |-Branch two:
% 19.80/5.16 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 19.80/5.16 |
% 19.80/5.16 | Applying alpha-rule on (485) yields:
% 19.80/5.16 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 19.80/5.16 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 19.80/5.16 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 19.80/5.16 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 19.80/5.16 | (315) all_0_9_9 = e4
% 19.80/5.16 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 19.80/5.16 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 19.80/5.16 | (493) ~ (unit = e3)
% 19.80/5.16 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 19.80/5.16 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 19.80/5.16 | (496) ~ (all_0_2_2 = e3)
% 19.80/5.16 |
% 19.80/5.16 | Equations (315) can reduce 302 to:
% 19.80/5.16 | (267) $false
% 19.80/5.16 |
% 19.80/5.16 |-The branch is then unsatisfiable
% 19.80/5.16 |-Branch two:
% 19.80/5.16 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 19.80/5.16 |
% 19.80/5.16 | Applying alpha-rule on (498) yields:
% 19.80/5.16 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 19.80/5.16 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 19.80/5.16 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 19.80/5.17 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 19.80/5.17 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 19.80/5.17 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 19.80/5.17 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 19.80/5.17 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 19.80/5.17 | (358) ~ (all_0_12_12 = e4)
% 19.80/5.17 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 19.80/5.17 | (255) ~ (all_0_1_1 = e4)
% 19.80/5.17 | (510) ~ (all_0_17_17 = e4)
% 19.80/5.17 | (257) ~ (all_0_2_2 = e4)
% 19.80/5.17 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 19.80/5.17 | (303) ~ (all_0_11_11 = e4)
% 19.80/5.17 | (514) ~ (all_0_14_14 = e4)
% 19.80/5.17 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 19.80/5.17 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 19.98/5.17 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 19.98/5.17 |
% 19.98/5.17 | Equations (470) can reduce 514 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 19.98/5.17 |
% 19.98/5.17 | Applying alpha-rule on (519) yields:
% 19.98/5.17 | (520) ~ (all_0_1_1 = e2)
% 19.98/5.17 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 19.98/5.17 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 19.98/5.17 | (226) ~ (all_0_11_11 = e2)
% 19.98/5.17 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 19.98/5.17 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 19.98/5.17 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 19.98/5.17 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 19.98/5.17 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 19.98/5.17 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 19.98/5.17 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 19.98/5.17 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 19.98/5.17 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 19.98/5.17 | (272) ~ (all_0_3_3 = e2)
% 19.98/5.17 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 19.98/5.17 | (274) ~ (all_0_19_19 = e2)
% 19.98/5.17 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 19.98/5.17 | (537) ~ (all_0_7_7 = e2)
% 19.98/5.17 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 19.98/5.17 | (224) ~ (all_0_9_9 = e2)
% 19.98/5.17 |
% 19.98/5.17 | Equations (540) can reduce 520 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 19.98/5.17 |
% 19.98/5.17 | Applying alpha-rule on (558) yields:
% 19.98/5.17 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 19.98/5.17 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 19.98/5.17 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 19.98/5.17 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 19.98/5.17 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 19.98/5.17 | (564) ~ (unit = e0)
% 19.98/5.17 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 19.98/5.17 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 19.98/5.17 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 19.98/5.17 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 19.98/5.17 | (355) ~ (all_0_9_9 = e0)
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (126), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (459) all_0_5_5 = e1
% 19.98/5.17 |
% 19.98/5.17 | Combining equations (456,459) yields a new equation:
% 19.98/5.17 | (832) e3 = e1
% 19.98/5.17 |
% 19.98/5.17 | Simplifying 832 yields:
% 19.98/5.17 | (833) e3 = e1
% 19.98/5.17 |
% 19.98/5.17 | Equations (833) can reduce 133 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (265) ~ (all_0_5_5 = e1)
% 19.98/5.17 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (218), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (1059) all_0_4_4 = e2
% 19.98/5.17 |
% 19.98/5.17 | Combining equations (785,1059) yields a new equation:
% 19.98/5.17 | (353) e2 = e0
% 19.98/5.17 |
% 19.98/5.17 | Equations (353) can reduce 45 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (240) ~ (all_0_4_4 = e2)
% 19.98/5.17 | (1063) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (1035), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (356) all_0_9_9 = e1
% 19.98/5.17 |
% 19.98/5.17 | Equations (356) can reduce 197 to:
% 19.98/5.17 | (1386) ~ (all_0_11_11 = e1)
% 19.98/5.17 |
% 19.98/5.17 | Simplifying 1386 yields:
% 19.98/5.17 | (1387) ~ (all_0_11_11 = e1)
% 19.98/5.17 |
% 19.98/5.17 | Equations (356) can reduce 224 to:
% 19.98/5.17 | (1005) ~ (e2 = e1)
% 19.98/5.17 |
% 19.98/5.17 | Simplifying 1005 yields:
% 19.98/5.17 | (134) ~ (e2 = e1)
% 19.98/5.17 |
% 19.98/5.17 | Equations (356) can reduce 355 to:
% 19.98/5.17 | (131) ~ (e1 = e0)
% 19.98/5.17 |
% 19.98/5.17 | From (356) and (164) follows:
% 19.98/5.17 | (3367) op(e2, e3) = e1
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (1063), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (402) all_0_5_5 = e2
% 19.98/5.17 |
% 19.98/5.17 | Combining equations (456,402) yields a new equation:
% 19.98/5.17 | (545) e3 = e2
% 19.98/5.17 |
% 19.98/5.17 | Simplifying 545 yields:
% 19.98/5.17 | (483) e3 = e2
% 19.98/5.17 |
% 19.98/5.17 | Equations (483) can reduce 191 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (238) ~ (all_0_5_5 = e2)
% 19.98/5.17 | (1118) all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (1118), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (437) all_0_6_6 = e2
% 19.98/5.17 |
% 19.98/5.17 | Equations (437) can reduce 155 to:
% 19.98/5.17 | (231) ~ (all_0_18_18 = e2)
% 19.98/5.17 |
% 19.98/5.17 | Simplifying 231 yields:
% 19.98/5.17 | (232) ~ (all_0_18_18 = e2)
% 19.98/5.17 |
% 19.98/5.17 | Equations (437) can reduce 426 to:
% 19.98/5.17 | (235) ~ (e3 = e2)
% 19.98/5.17 |
% 19.98/5.17 | Simplifying 235 yields:
% 19.98/5.17 | (191) ~ (e3 = e2)
% 19.98/5.17 |
% 19.98/5.17 | Equations (437) can reduce 34 to:
% 19.98/5.17 | (134) ~ (e2 = e1)
% 19.98/5.17 |
% 19.98/5.17 | Equations (437) can reduce 408 to:
% 19.98/5.17 | (45) ~ (e2 = e0)
% 19.98/5.17 |
% 19.98/5.17 | From (437) and (89) follows:
% 19.98/5.17 | (1838) op(e3, e2) = e2
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (100), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (284) all_0_16_16 = e2
% 19.98/5.17 |
% 19.98/5.17 | Combining equations (741,284) yields a new equation:
% 19.98/5.17 | (760) e2 = e1
% 19.98/5.17 |
% 19.98/5.17 | Equations (760) can reduce 134 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (246) ~ (all_0_16_16 = e2)
% 19.98/5.17 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (287), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (288) all_0_17_17 = e2
% 19.98/5.17 |
% 19.98/5.17 | Combining equations (288,351) yields a new equation:
% 19.98/5.17 | (352) e2 = e0
% 19.98/5.17 |
% 19.98/5.17 | Simplifying 352 yields:
% 19.98/5.17 | (353) e2 = e0
% 19.98/5.17 |
% 19.98/5.17 | Equations (353) can reduce 45 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (361) ~ (all_0_17_17 = e2)
% 19.98/5.17 | (362) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (362), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (363) all_0_18_18 = e2
% 19.98/5.17 |
% 19.98/5.17 | Equations (363) can reduce 232 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (232) ~ (all_0_18_18 = e2)
% 19.98/5.17 | (366) all_0_19_19 = e2 | all_0_20_20 = e2
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (366), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (367) all_0_19_19 = e2
% 19.98/5.17 |
% 19.98/5.17 | Equations (367) can reduce 219 to:
% 19.98/5.17 | (226) ~ (all_0_11_11 = e2)
% 19.98/5.17 |
% 19.98/5.17 | From (367) and (209) follows:
% 19.98/5.17 | (1259) op(e0, e1) = e2
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (269), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (306) all_0_11_11 = e4
% 19.98/5.17 |
% 19.98/5.17 | Equations (306) can reduce 203 to:
% 19.98/5.17 | (24) ~ (e4 = e3)
% 19.98/5.17 |
% 19.98/5.17 | Equations (306) can reduce 226 to:
% 19.98/5.17 | (205) ~ (e4 = e2)
% 19.98/5.17 |
% 19.98/5.17 | Equations (306) can reduce 1387 to:
% 19.98/5.17 | (217) ~ (e4 = e1)
% 19.98/5.17 |
% 19.98/5.17 | Equations (306) can reduce 81 to:
% 19.98/5.17 | (7) ~ (e4 = e0)
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (159), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (1629) all_0_16_16 = e4
% 19.98/5.17 |
% 19.98/5.17 | Combining equations (741,1629) yields a new equation:
% 19.98/5.17 | (934) e4 = e1
% 19.98/5.17 |
% 19.98/5.17 | Equations (934) can reduce 217 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (1965) ~ (all_0_16_16 = e4)
% 19.98/5.17 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (2264), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (846) all_0_17_17 = e4
% 19.98/5.17 |
% 19.98/5.17 | Combining equations (351,846) yields a new equation:
% 19.98/5.17 | (327) e4 = e0
% 19.98/5.17 |
% 19.98/5.17 | Equations (327) can reduce 7 to:
% 19.98/5.17 | (267) $false
% 19.98/5.17 |
% 19.98/5.17 |-The branch is then unsatisfiable
% 19.98/5.17 |-Branch two:
% 19.98/5.17 | (510) ~ (all_0_17_17 = e4)
% 19.98/5.17 | (2398) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 19.98/5.17 |
% 19.98/5.17 +-Applying beta-rule and splitting (2398), into two cases.
% 19.98/5.17 |-Branch one:
% 19.98/5.17 | (599) all_0_18_18 = e4
% 19.98/5.17 |
% 19.98/5.17 | From (599) and (142) follows:
% 19.98/5.17 | (1408) op(e0, e2) = e4
% 19.98/5.18 |
% 19.98/5.18 +-Applying beta-rule and splitting (54), into two cases.
% 19.98/5.18 |-Branch one:
% 19.98/5.18 | (1420) unit = e2
% 19.98/5.18 |
% 19.98/5.18 | From (1420) and (52) follows:
% 19.98/5.18 | (1421) op(e2, e4) = e4
% 19.98/5.18 |
% 19.98/5.18 | From (1420) and (112) follows:
% 19.98/5.18 | (2453) op(e3, e2) = e3
% 19.98/5.18 |
% 19.98/5.18 | From (1420) and (146) follows:
% 19.98/5.18 | (1422) op(e1, e2) = e1
% 19.98/5.18 |
% 19.98/5.18 | From (1420) and (220) follows:
% 19.98/5.18 | (1423) op(e0, e2) = e0
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 19.98/5.18 | (483) e3 = e2
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 19.98/5.18 | (452) e4 = e3
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields:
% 19.98/5.18 | (833) e3 = e1
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields:
% 19.98/5.18 | (327) e4 = e0
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (452,327) yields a new equation:
% 19.98/5.18 | (1102) e3 = e0
% 19.98/5.18 |
% 19.98/5.18 | Simplifying 1102 yields:
% 19.98/5.18 | (1103) e3 = e0
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (1103,483) yields a new equation:
% 19.98/5.18 | (353) e2 = e0
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (833,483) yields a new equation:
% 19.98/5.18 | (760) e2 = e1
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (760,353) yields a new equation:
% 19.98/5.18 | (1156) e1 = e0
% 19.98/5.18 |
% 19.98/5.18 | Simplifying 1156 yields:
% 19.98/5.18 | (871) e1 = e0
% 19.98/5.18 |
% 19.98/5.18 | Equations (871) can reduce 131 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (1432) ~ (unit = e2)
% 19.98/5.18 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.98/5.18 |
% 19.98/5.18 +-Applying beta-rule and splitting (1433), into two cases.
% 19.98/5.18 |-Branch one:
% 19.98/5.18 | (1434) unit = e4
% 19.98/5.18 |
% 19.98/5.18 | From (1434) and (112) follows:
% 19.98/5.18 | (1437) op(e3, e4) = e3
% 19.98/5.18 |
% 19.98/5.18 | From (1434) and (169) follows:
% 19.98/5.18 | (1438) op(e2, e4) = e2
% 19.98/5.18 |
% 19.98/5.18 | From (1434) and (146) follows:
% 19.98/5.18 | (2338) op(e1, e4) = e1
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields:
% 19.98/5.18 | (1103) e3 = e0
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 19.98/5.18 | (483) e3 = e2
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields:
% 19.98/5.18 | (760) e2 = e1
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (483,1103) yields a new equation:
% 19.98/5.18 | (352) e2 = e0
% 19.98/5.18 |
% 19.98/5.18 | Simplifying 352 yields:
% 19.98/5.18 | (353) e2 = e0
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (353,760) yields a new equation:
% 19.98/5.18 | (871) e1 = e0
% 19.98/5.18 |
% 19.98/5.18 | Equations (871) can reduce 131 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (1449) ~ (unit = e4)
% 19.98/5.18 | (1450) unit = e3 | unit = e1 | unit = e0
% 19.98/5.18 |
% 19.98/5.18 +-Applying beta-rule and splitting (1450), into two cases.
% 19.98/5.18 |-Branch one:
% 19.98/5.18 | (1451) unit = e0
% 19.98/5.18 |
% 19.98/5.18 | Equations (1451) can reduce 564 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (564) ~ (unit = e0)
% 19.98/5.18 | (1454) unit = e3 | unit = e1
% 19.98/5.18 |
% 19.98/5.18 +-Applying beta-rule and splitting (1454), into two cases.
% 19.98/5.18 |-Branch one:
% 19.98/5.18 | (1455) unit = e3
% 19.98/5.18 |
% 19.98/5.18 | From (1455) and (42) follows:
% 19.98/5.18 | (1456) op(e3, e0) = e0
% 19.98/5.18 |
% 19.98/5.18 | From (1455) and (199) follows:
% 19.98/5.18 | (1457) op(e4, e3) = e4
% 19.98/5.18 |
% 19.98/5.18 | From (1455) and (169) follows:
% 19.98/5.18 | (3089) op(e2, e3) = e2
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 19.98/5.18 | (297) e4 = e2
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields:
% 19.98/5.18 | (327) e4 = e0
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 19.98/5.18 | (760) e2 = e1
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (297,327) yields a new equation:
% 19.98/5.18 | (352) e2 = e0
% 19.98/5.18 |
% 19.98/5.18 | Simplifying 352 yields:
% 19.98/5.18 | (353) e2 = e0
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (353,760) yields a new equation:
% 19.98/5.18 | (871) e1 = e0
% 19.98/5.18 |
% 19.98/5.18 | Equations (871) can reduce 131 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (493) ~ (unit = e3)
% 19.98/5.18 | (1467) unit = e1
% 19.98/5.18 |
% 19.98/5.18 | Equations (1467) can reduce 564 to:
% 19.98/5.18 | (131) ~ (e1 = e0)
% 19.98/5.18 |
% 19.98/5.18 | From (1467) and (52) follows:
% 19.98/5.18 | (1469) op(e1, e4) = e4
% 19.98/5.18 |
% 19.98/5.18 | From (1467) and (71) follows:
% 19.98/5.18 | (1470) op(e1, e3) = e3
% 19.98/5.18 |
% 19.98/5.18 | From (1467) and (112) follows:
% 19.98/5.18 | (1471) op(e3, e1) = e3
% 19.98/5.18 |
% 19.98/5.18 | From (1467) and (220) follows:
% 19.98/5.18 | (1472) op(e0, e1) = e0
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 19.98/5.18 | (833) e3 = e1
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 19.98/5.18 | (297) e4 = e2
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 19.98/5.18 | (452) e4 = e3
% 19.98/5.18 |
% 19.98/5.18 | Instantiating formula (178) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 19.98/5.18 | (353) e2 = e0
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (297,452) yields a new equation:
% 19.98/5.18 | (483) e3 = e2
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (483,833) yields a new equation:
% 19.98/5.18 | (759) e2 = e1
% 19.98/5.18 |
% 19.98/5.18 | Simplifying 759 yields:
% 19.98/5.18 | (760) e2 = e1
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (760,353) yields a new equation:
% 19.98/5.18 | (1156) e1 = e0
% 19.98/5.18 |
% 19.98/5.18 | Simplifying 1156 yields:
% 19.98/5.18 | (871) e1 = e0
% 19.98/5.18 |
% 19.98/5.18 | Equations (871) can reduce 131 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (674) ~ (all_0_18_18 = e4)
% 19.98/5.18 | (2404) all_0_19_19 = e4 | all_0_20_20 = e4
% 19.98/5.18 |
% 19.98/5.18 +-Applying beta-rule and splitting (2404), into two cases.
% 19.98/5.18 |-Branch one:
% 19.98/5.18 | (644) all_0_19_19 = e4
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (367,644) yields a new equation:
% 19.98/5.18 | (297) e4 = e2
% 19.98/5.18 |
% 19.98/5.18 | Equations (297) can reduce 205 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (602) ~ (all_0_19_19 = e4)
% 19.98/5.18 | (341) all_0_20_20 = e4
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (348,341) yields a new equation:
% 19.98/5.18 | (452) e4 = e3
% 19.98/5.18 |
% 19.98/5.18 | Equations (452) can reduce 24 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (303) ~ (all_0_11_11 = e4)
% 19.98/5.18 | (309) all_0_11_11 = e1
% 19.98/5.18 |
% 19.98/5.18 | Equations (309) can reduce 1387 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (274) ~ (all_0_19_19 = e2)
% 19.98/5.18 | (337) all_0_20_20 = e2
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (337,348) yields a new equation:
% 19.98/5.18 | (483) e3 = e2
% 19.98/5.18 |
% 19.98/5.18 | Equations (483) can reduce 191 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (223) ~ (all_0_6_6 = e2)
% 19.98/5.18 | (1124) all_0_7_7 = e2 | all_0_8_8 = e2
% 19.98/5.18 |
% 19.98/5.18 +-Applying beta-rule and splitting (1124), into two cases.
% 19.98/5.18 |-Branch one:
% 19.98/5.18 | (1125) all_0_7_7 = e2
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (1385,1125) yields a new equation:
% 19.98/5.18 | (760) e2 = e1
% 19.98/5.18 |
% 19.98/5.18 | Equations (760) can reduce 134 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (537) ~ (all_0_7_7 = e2)
% 19.98/5.18 | (281) all_0_8_8 = e2
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (281,296) yields a new equation:
% 19.98/5.18 | (297) e4 = e2
% 19.98/5.18 |
% 19.98/5.18 | Equations (297) can reduce 205 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (310) ~ (all_0_9_9 = e1)
% 19.98/5.18 | (913) all_0_17_17 = e1
% 19.98/5.18 |
% 19.98/5.18 | Combining equations (351,913) yields a new equation:
% 19.98/5.18 | (871) e1 = e0
% 19.98/5.18 |
% 19.98/5.18 | Equations (871) can reduce 131 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (514) ~ (all_0_14_14 = e4)
% 19.98/5.18 | (391) all_0_14_14 = e3
% 19.98/5.18 |
% 19.98/5.18 | Equations (391) can reduce 464 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (392) ~ (all_0_5_5 = e3)
% 19.98/5.18 | (459) all_0_5_5 = e1
% 19.98/5.18 |
% 19.98/5.18 | Equations (459) can reduce 265 to:
% 19.98/5.18 | (267) $false
% 19.98/5.18 |
% 19.98/5.18 |-The branch is then unsatisfiable
% 19.98/5.18 |-Branch two:
% 19.98/5.18 | (459) all_0_5_5 = e1
% 19.98/5.18 | (713) all_0_7_7 = e3
% 19.98/5.19 |
% 19.98/5.19 | Equations (713) can reduce 1269 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (520) ~ (all_0_1_1 = e2)
% 19.98/5.19 | (543) all_0_2_2 = e2 | all_0_3_3 = e2
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (380), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (381) all_0_2_2 = e4
% 19.98/5.19 |
% 19.98/5.19 | Equations (381) can reduce 257 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (257) ~ (all_0_2_2 = e4)
% 19.98/5.19 | (384) all_0_2_2 = e3
% 19.98/5.19 |
% 19.98/5.19 | Equations (384) can reduce 190 to:
% 19.98/5.19 | (829) ~ (all_0_1_1 = e3)
% 19.98/5.19 |
% 19.98/5.19 | Equations (384) can reduce 208 to:
% 19.98/5.19 | (385) ~ (all_0_3_3 = e3)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 385 yields:
% 19.98/5.19 | (386) ~ (all_0_3_3 = e3)
% 19.98/5.19 |
% 19.98/5.19 | Equations (384) can reduce 257 to:
% 19.98/5.19 | (807) ~ (e4 = e3)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 807 yields:
% 19.98/5.19 | (24) ~ (e4 = e3)
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (60), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (540) all_0_1_1 = e2
% 19.98/5.19 |
% 19.98/5.19 | Equations (540) can reduce 520 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (520) ~ (all_0_1_1 = e2)
% 19.98/5.19 | (2007) all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e0
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (2007), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (790) all_0_1_1 = e4
% 19.98/5.19 |
% 19.98/5.19 | Equations (790) can reduce 255 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (255) ~ (all_0_1_1 = e4)
% 19.98/5.19 | (2020) all_0_1_1 = e3 | all_0_1_1 = e0
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (2020), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (331) all_0_1_1 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (331) can reduce 36 to:
% 19.98/5.19 | (2067) ~ (all_0_17_17 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 2067 yields:
% 19.98/5.19 | (654) ~ (all_0_17_17 = e0)
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (78), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (325) ~ (all_0_20_20 = e3)
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (160), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (672) all_0_3_3 = e3
% 19.98/5.19 |
% 19.98/5.19 | Equations (672) can reduce 386 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (386) ~ (all_0_3_3 = e3)
% 19.98/5.19 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (822), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (425) all_0_8_8 = e3
% 19.98/5.19 |
% 19.98/5.19 | Combining equations (296,425) yields a new equation:
% 19.98/5.19 | (620) e4 = e3
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 620 yields:
% 19.98/5.19 | (452) e4 = e3
% 19.98/5.19 |
% 19.98/5.19 | Equations (452) can reduce 24 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (724) ~ (all_0_8_8 = e3)
% 19.98/5.19 | (348) all_0_20_20 = e3
% 19.98/5.19 |
% 19.98/5.19 | Equations (348) can reduce 325 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (348) all_0_20_20 = e3
% 19.98/5.19 | (351) all_0_17_17 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (351) can reduce 654 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (320) ~ (all_0_1_1 = e0)
% 19.98/5.19 | (804) all_0_1_1 = e3
% 19.98/5.19 |
% 19.98/5.19 | Equations (804) can reduce 829 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (882) ~ (all_0_4_4 = e0)
% 19.98/5.19 | (2166) all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (198), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (326) all_0_0_0 = e0
% 19.98/5.19 |
% 19.98/5.19 | Combining equations (326,253) yields a new equation:
% 19.98/5.19 | (327) e4 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (327) can reduce 7 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (252) ~ (all_0_0_0 = e0)
% 19.98/5.19 | (774) all_0_4_4 = e0 | all_0_16_16 = e0
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (774), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (785) all_0_4_4 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (785) can reduce 882 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (882) ~ (all_0_4_4 = e0)
% 19.98/5.19 | (609) all_0_16_16 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (609) can reduce 107 to:
% 19.98/5.19 | (2067) ~ (all_0_17_17 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 2067 yields:
% 19.98/5.19 | (654) ~ (all_0_17_17 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Equations (609) can reduce 115 to:
% 19.98/5.19 | (335) ~ (all_0_20_20 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 335 yields:
% 19.98/5.19 | (336) ~ (all_0_20_20 = e0)
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (78), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (325) ~ (all_0_20_20 = e3)
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (158), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (337) all_0_20_20 = e2
% 19.98/5.19 |
% 19.98/5.19 | Equations (337) can reduce 251 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (251) ~ (all_0_20_20 = e2)
% 19.98/5.19 | (340) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (340), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (341) all_0_20_20 = e4
% 19.98/5.19 |
% 19.98/5.19 | Equations (341) can reduce 264 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (264) ~ (all_0_20_20 = e4)
% 19.98/5.19 | (344) all_0_20_20 = e3 | all_0_20_20 = e0
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (344), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (345) all_0_20_20 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (345) can reduce 336 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (336) ~ (all_0_20_20 = e0)
% 19.98/5.19 | (348) all_0_20_20 = e3
% 19.98/5.19 |
% 19.98/5.19 | Equations (348) can reduce 325 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (348) all_0_20_20 = e3
% 19.98/5.19 | (351) all_0_17_17 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (351) can reduce 654 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (299) ~ (all_0_8_8 = e4)
% 19.98/5.19 | (300) all_0_12_12 = e4 | all_0_20_20 = e4
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (300), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (301) all_0_12_12 = e4
% 19.98/5.19 |
% 19.98/5.19 | Combining equations (374,301) yields a new equation:
% 19.98/5.19 | (297) e4 = e2
% 19.98/5.19 |
% 19.98/5.19 | Equations (297) can reduce 205 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (358) ~ (all_0_12_12 = e4)
% 19.98/5.19 | (341) all_0_20_20 = e4
% 19.98/5.19 |
% 19.98/5.19 | Equations (341) can reduce 264 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (341) all_0_20_20 = e4
% 19.98/5.19 | (609) all_0_16_16 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (341) can reduce 212 to:
% 19.98/5.19 | (259) ~ (all_0_3_3 = e4)
% 19.98/5.19 |
% 19.98/5.19 | Equations (609) can reduce 107 to:
% 19.98/5.19 | (2067) ~ (all_0_17_17 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 2067 yields:
% 19.98/5.19 | (654) ~ (all_0_17_17 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Equations (609) can reduce 161 to:
% 19.98/5.19 | (593) ~ (all_0_18_18 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 593 yields:
% 19.98/5.19 | (570) ~ (all_0_18_18 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Equations (609) can reduce 246 to:
% 19.98/5.19 | (323) ~ (e2 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 323 yields:
% 19.98/5.19 | (45) ~ (e2 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Equations (341) can reduce 18 to:
% 19.98/5.19 | (674) ~ (all_0_18_18 = e4)
% 19.98/5.19 |
% 19.98/5.19 | Equations (341) can reduce 35 to:
% 19.98/5.19 | (602) ~ (all_0_19_19 = e4)
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (76), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (1002) all_0_4_4 = e1
% 19.98/5.19 |
% 19.98/5.19 | Equations (1002) can reduce 39 to:
% 19.98/5.19 | (1003) ~ (all_0_5_5 = e1)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 1003 yields:
% 19.98/5.19 | (265) ~ (all_0_5_5 = e1)
% 19.98/5.19 |
% 19.98/5.19 | Equations (1002) can reduce 99 to:
% 19.98/5.19 | (1610) ~ (all_0_6_6 = e1)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 1610 yields:
% 19.98/5.19 | (34) ~ (all_0_6_6 = e1)
% 19.98/5.19 |
% 19.98/5.19 | Equations (1002) can reduce 74 to:
% 19.98/5.19 | (3900) ~ (all_0_7_7 = e1)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 3900 yields:
% 19.98/5.19 | (1801) ~ (all_0_7_7 = e1)
% 19.98/5.19 |
% 19.98/5.19 | Equations (1002) can reduce 93 to:
% 19.98/5.19 | (715) ~ (all_0_8_8 = e1)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 715 yields:
% 19.98/5.19 | (195) ~ (all_0_8_8 = e1)
% 19.98/5.19 |
% 19.98/5.19 | Equations (1002) can reduce 240 to:
% 19.98/5.19 | (1005) ~ (e2 = e1)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 1005 yields:
% 19.98/5.19 | (134) ~ (e2 = e1)
% 19.98/5.19 |
% 19.98/5.19 | From (1002) and (179) follows:
% 19.98/5.19 | (1612) op(e3, e4) = e1
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (200), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (422) ~ (all_0_5_5 = e0)
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (184), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (402) all_0_5_5 = e2
% 19.98/5.19 |
% 19.98/5.19 | Equations (402) can reduce 238 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (238) ~ (all_0_5_5 = e2)
% 19.98/5.19 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (31), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (331) all_0_1_1 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (331) can reduce 118 to:
% 19.98/5.19 | (2839) ~ (all_0_5_5 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 2839 yields:
% 19.98/5.19 | (422) ~ (all_0_5_5 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Equations (331) can reduce 103 to:
% 19.98/5.19 | (788) ~ (e1 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 788 yields:
% 19.98/5.19 | (131) ~ (e1 = e0)
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (64), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (785) all_0_4_4 = e0
% 19.98/5.19 |
% 19.98/5.19 | Combining equations (1002,785) yields a new equation:
% 19.98/5.19 | (1156) e1 = e0
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 1156 yields:
% 19.98/5.19 | (871) e1 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (871) can reduce 131 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (882) ~ (all_0_4_4 = e0)
% 19.98/5.19 | (2166) all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (152), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (540) all_0_1_1 = e2
% 19.98/5.19 |
% 19.98/5.19 | Combining equations (540,331) yields a new equation:
% 19.98/5.19 | (352) e2 = e0
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 352 yields:
% 19.98/5.19 | (353) e2 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (353) can reduce 45 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (520) ~ (all_0_1_1 = e2)
% 19.98/5.19 | (1048) all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (2166), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (406) all_0_5_5 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (406) can reduce 422 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (422) ~ (all_0_5_5 = e0)
% 19.98/5.19 | (2387) all_0_6_6 = e0 | all_0_8_8 = e0
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (2387), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (411) all_0_6_6 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (411) can reduce 408 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (408) ~ (all_0_6_6 = e0)
% 19.98/5.19 | (2154) all_0_8_8 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (2154) can reduce 8 to:
% 19.98/5.19 | (581) ~ (all_0_3_3 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Equations (2154) can reduce 66 to:
% 19.98/5.19 | (422) ~ (all_0_5_5 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Equations (2154) can reduce 49 to:
% 19.98/5.19 | (4) ~ (all_0_7_7 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Equations (2154) can reduce 195 to:
% 19.98/5.19 | (788) ~ (e1 = e0)
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 788 yields:
% 19.98/5.19 | (131) ~ (e1 = e0)
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (1048), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (402) all_0_5_5 = e2
% 19.98/5.19 |
% 19.98/5.19 | Equations (402) can reduce 238 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (238) ~ (all_0_5_5 = e2)
% 19.98/5.19 | (1052) all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (1052), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (311) all_0_9_9 = e2
% 19.98/5.19 |
% 19.98/5.19 | Equations (311) can reduce 224 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (224) ~ (all_0_9_9 = e2)
% 19.98/5.19 | (1058) all_0_14_14 = e2 | all_0_17_17 = e2
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (1058), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (387) all_0_14_14 = e2
% 19.98/5.19 |
% 19.98/5.19 | Equations (387) can reduce 242 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (242) ~ (all_0_14_14 = e2)
% 19.98/5.19 | (288) all_0_17_17 = e2
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (25), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (741) all_0_16_16 = e1
% 19.98/5.19 |
% 19.98/5.19 | Combining equations (741,609) yields a new equation:
% 19.98/5.19 | (1156) e1 = e0
% 19.98/5.19 |
% 19.98/5.19 | Simplifying 1156 yields:
% 19.98/5.19 | (871) e1 = e0
% 19.98/5.19 |
% 19.98/5.19 | Equations (871) can reduce 131 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (911) ~ (all_0_16_16 = e1)
% 19.98/5.19 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 19.98/5.19 |
% 19.98/5.19 +-Applying beta-rule and splitting (148), into two cases.
% 19.98/5.19 |-Branch one:
% 19.98/5.19 | (277) all_0_3_3 = e2
% 19.98/5.19 |
% 19.98/5.19 | Equations (277) can reduce 272 to:
% 19.98/5.19 | (267) $false
% 19.98/5.19 |
% 19.98/5.19 |-The branch is then unsatisfiable
% 19.98/5.19 |-Branch two:
% 19.98/5.19 | (272) ~ (all_0_3_3 = e2)
% 19.98/5.20 | (664) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (664), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (292) all_0_3_3 = e4
% 19.98/5.20 |
% 19.98/5.20 | Equations (292) can reduce 259 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (259) ~ (all_0_3_3 = e4)
% 19.98/5.20 | (668) all_0_3_3 = e3 | all_0_3_3 = e0
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (668), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (334) all_0_3_3 = e0
% 19.98/5.20 |
% 19.98/5.20 | Equations (334) can reduce 581 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (581) ~ (all_0_3_3 = e0)
% 19.98/5.20 | (672) all_0_3_3 = e3
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (912), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (913) all_0_17_17 = e1
% 19.98/5.20 |
% 19.98/5.20 | Combining equations (913,288) yields a new equation:
% 19.98/5.20 | (760) e2 = e1
% 19.98/5.20 |
% 19.98/5.20 | Equations (760) can reduce 134 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (720) ~ (all_0_17_17 = e1)
% 19.98/5.20 | (916) all_0_19_19 = e1
% 19.98/5.20 |
% 19.98/5.20 | Equations (916) can reduce 48 to:
% 19.98/5.20 | (1801) ~ (all_0_7_7 = e1)
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (405), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (406) all_0_5_5 = e0
% 19.98/5.20 |
% 19.98/5.20 | Equations (406) can reduce 422 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (422) ~ (all_0_5_5 = e0)
% 19.98/5.20 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (455), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (456) all_0_5_5 = e3
% 19.98/5.20 |
% 19.98/5.20 | Equations (456) can reduce 55 to:
% 19.98/5.20 | (1268) ~ (all_0_7_7 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 1268 yields:
% 19.98/5.20 | (1269) ~ (all_0_7_7 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Equations (456) can reduce 88 to:
% 19.98/5.20 | (1272) ~ (all_0_14_14 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 1272 yields:
% 19.98/5.20 | (464) ~ (all_0_14_14 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Equations (456) can reduce 53 to:
% 19.98/5.20 | (807) ~ (e4 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 807 yields:
% 19.98/5.20 | (24) ~ (e4 = e3)
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (91), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (391) all_0_14_14 = e3
% 19.98/5.20 |
% 19.98/5.20 | Equations (391) can reduce 464 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (464) ~ (all_0_14_14 = e3)
% 19.98/5.20 | (462) all_0_15_15 = e3
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (147), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (431) all_0_6_6 = e4
% 19.98/5.20 |
% 19.98/5.20 | Equations (431) can reduce 23 to:
% 19.98/5.20 | (2218) ~ (all_0_7_7 = e4)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 2218 yields:
% 19.98/5.20 | (450) ~ (all_0_7_7 = e4)
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (11), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (1125) all_0_7_7 = e2
% 19.98/5.20 |
% 19.98/5.20 | Equations (1125) can reduce 9 to:
% 19.98/5.20 | (379) ~ (all_0_2_2 = e2)
% 19.98/5.20 |
% 19.98/5.20 | Equations (1125) can reduce 1269 to:
% 19.98/5.20 | (235) ~ (e3 = e2)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 235 yields:
% 19.98/5.20 | (191) ~ (e3 = e2)
% 19.98/5.20 |
% 19.98/5.20 | Equations (1125) can reduce 4 to:
% 19.98/5.20 | (45) ~ (e2 = e0)
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (43), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (540) all_0_1_1 = e2
% 19.98/5.20 |
% 19.98/5.20 | Combining equations (540,331) yields a new equation:
% 19.98/5.20 | (352) e2 = e0
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 352 yields:
% 19.98/5.20 | (353) e2 = e0
% 19.98/5.20 |
% 19.98/5.20 | Equations (353) can reduce 45 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (520) ~ (all_0_1_1 = e2)
% 19.98/5.20 | (543) all_0_2_2 = e2 | all_0_3_3 = e2
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (128), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (270) all_0_2_2 = e2
% 19.98/5.20 |
% 19.98/5.20 | Equations (270) can reduce 379 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (379) ~ (all_0_2_2 = e2)
% 19.98/5.20 | (380) all_0_2_2 = e4 | all_0_2_2 = e3
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (543), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (270) all_0_2_2 = e2
% 19.98/5.20 |
% 19.98/5.20 | Equations (270) can reduce 379 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (379) ~ (all_0_2_2 = e2)
% 19.98/5.20 | (277) all_0_3_3 = e2
% 19.98/5.20 |
% 19.98/5.20 | Combining equations (672,277) yields a new equation:
% 19.98/5.20 | (545) e3 = e2
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 545 yields:
% 19.98/5.20 | (483) e3 = e2
% 19.98/5.20 |
% 19.98/5.20 | Equations (483) can reduce 191 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (537) ~ (all_0_7_7 = e2)
% 19.98/5.20 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (3353), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (435) all_0_7_7 = e4
% 19.98/5.20 |
% 19.98/5.20 | Equations (435) can reduce 450 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (450) ~ (all_0_7_7 = e4)
% 19.98/5.20 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (3357), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (713) all_0_7_7 = e3
% 19.98/5.20 |
% 19.98/5.20 | Equations (713) can reduce 1269 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (1269) ~ (all_0_7_7 = e3)
% 19.98/5.20 | (1385) all_0_7_7 = e1
% 19.98/5.20 |
% 19.98/5.20 | Equations (1385) can reduce 1801 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (400) ~ (all_0_6_6 = e4)
% 19.98/5.20 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (1397), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (399) all_0_15_15 = e4
% 19.98/5.20 |
% 19.98/5.20 | Combining equations (462,399) yields a new equation:
% 19.98/5.20 | (452) e4 = e3
% 19.98/5.20 |
% 19.98/5.20 | Equations (452) can reduce 24 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (461) ~ (all_0_15_15 = e4)
% 19.98/5.20 | (599) all_0_18_18 = e4
% 19.98/5.20 |
% 19.98/5.20 | Equations (599) can reduce 674 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (392) ~ (all_0_5_5 = e3)
% 19.98/5.20 | (459) all_0_5_5 = e1
% 19.98/5.20 |
% 19.98/5.20 | Equations (459) can reduce 265 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (320) ~ (all_0_1_1 = e0)
% 19.98/5.20 | (869) all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (869), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (406) all_0_5_5 = e0
% 19.98/5.20 |
% 19.98/5.20 | Equations (406) can reduce 422 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (422) ~ (all_0_5_5 = e0)
% 19.98/5.20 | (874) all_0_9_9 = e0 | all_0_17_17 = e0
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (874), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (319) all_0_9_9 = e0
% 19.98/5.20 |
% 19.98/5.20 | Equations (319) can reduce 355 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (355) ~ (all_0_9_9 = e0)
% 19.98/5.20 | (351) all_0_17_17 = e0
% 19.98/5.20 |
% 19.98/5.20 | Equations (351) can reduce 654 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (406) all_0_5_5 = e0
% 19.98/5.20 | (425) all_0_8_8 = e3
% 19.98/5.20 |
% 19.98/5.20 | Equations (406) can reduce 118 to:
% 19.98/5.20 | (320) ~ (all_0_1_1 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Equations (425) can reduce 8 to:
% 19.98/5.20 | (386) ~ (all_0_3_3 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Equations (406) can reduce 3 to:
% 19.98/5.20 | (407) ~ (all_0_6_6 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 407 yields:
% 19.98/5.20 | (408) ~ (all_0_6_6 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Equations (406) can reduce 2 to:
% 19.98/5.20 | (853) ~ (all_0_9_9 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 853 yields:
% 19.98/5.20 | (355) ~ (all_0_9_9 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Equations (406) can reduce 119 to:
% 19.98/5.20 | (2067) ~ (all_0_17_17 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 2067 yields:
% 19.98/5.20 | (654) ~ (all_0_17_17 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Equations (406) can reduce 53 to:
% 19.98/5.20 | (321) ~ (e4 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 321 yields:
% 19.98/5.20 | (7) ~ (e4 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Equations (425) can reduce 138 to:
% 19.98/5.20 | (426) ~ (all_0_6_6 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Equations (425) can reduce 49 to:
% 19.98/5.20 | (1269) ~ (all_0_7_7 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Equations (425) can reduce 372 to:
% 19.98/5.20 | (191) ~ (e3 = e2)
% 19.98/5.20 |
% 19.98/5.20 | From (425) and (140) follows:
% 19.98/5.20 | (3077) op(e3, e0) = e3
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (67), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (334) all_0_3_3 = e0
% 19.98/5.20 |
% 19.98/5.20 | Equations (334) can reduce 215 to:
% 19.98/5.20 | (320) ~ (all_0_1_1 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Equations (334) can reduce 386 to:
% 19.98/5.20 | (996) ~ (e3 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 996 yields:
% 19.98/5.20 | (61) ~ (e3 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Equations (334) can reduce 272 to:
% 19.98/5.20 | (323) ~ (e2 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 323 yields:
% 19.98/5.20 | (45) ~ (e2 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Equations (334) can reduce 182 to:
% 19.98/5.20 | (788) ~ (e1 = e0)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 788 yields:
% 19.98/5.20 | (131) ~ (e1 = e0)
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (167), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (266) all_0_11_11 = e2
% 19.98/5.20 |
% 19.98/5.20 | Equations (266) can reduce 226 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (226) ~ (all_0_11_11 = e2)
% 19.98/5.20 | (269) all_0_11_11 = e4 | all_0_11_11 = e1
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (196), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (395) all_0_15_15 = e2
% 19.98/5.20 |
% 19.98/5.20 | Equations (395) can reduce 230 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (230) ~ (all_0_15_15 = e2)
% 19.98/5.20 | (398) all_0_15_15 = e4 | all_0_15_15 = e3
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (43), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (540) all_0_1_1 = e2
% 19.98/5.20 |
% 19.98/5.20 | Equations (540) can reduce 13 to:
% 19.98/5.20 | (1593) ~ (all_0_9_9 = e2)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 1593 yields:
% 19.98/5.20 | (224) ~ (all_0_9_9 = e2)
% 19.98/5.20 |
% 19.98/5.20 | Equations (540) can reduce 36 to:
% 19.98/5.20 | (1597) ~ (all_0_17_17 = e2)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 1597 yields:
% 19.98/5.20 | (361) ~ (all_0_17_17 = e2)
% 19.98/5.20 |
% 19.98/5.20 | Equations (540) can reduce 255 to:
% 19.98/5.20 | (233) ~ (e4 = e2)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 233 yields:
% 19.98/5.20 | (205) ~ (e4 = e2)
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (122), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (804) all_0_1_1 = e3
% 19.98/5.20 |
% 19.98/5.20 | Combining equations (804,540) yields a new equation:
% 19.98/5.20 | (545) e3 = e2
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 545 yields:
% 19.98/5.20 | (483) e3 = e2
% 19.98/5.20 |
% 19.98/5.20 | Equations (483) can reduce 191 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (829) ~ (all_0_1_1 = e3)
% 19.98/5.20 | (1647) all_0_2_2 = e3 | all_0_3_3 = e3
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (1647), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (384) all_0_2_2 = e3
% 19.98/5.20 |
% 19.98/5.20 | Equations (384) can reduce 9 to:
% 19.98/5.20 | (1268) ~ (all_0_7_7 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 1268 yields:
% 19.98/5.20 | (1269) ~ (all_0_7_7 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Equations (384) can reduce 132 to:
% 19.98/5.20 | (3477) ~ (all_0_11_11 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 3477 yields:
% 19.98/5.20 | (203) ~ (all_0_11_11 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Equations (384) can reduce 84 to:
% 19.98/5.20 | (967) ~ (all_0_19_19 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 967 yields:
% 19.98/5.20 | (968) ~ (all_0_19_19 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Equations (384) can reduce 257 to:
% 19.98/5.20 | (807) ~ (e4 = e3)
% 19.98/5.20 |
% 19.98/5.20 | Simplifying 807 yields:
% 19.98/5.20 | (24) ~ (e4 = e3)
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (91), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (391) all_0_14_14 = e3
% 19.98/5.20 |
% 19.98/5.20 | Equations (391) can reduce 210 to:
% 19.98/5.20 | (124) ~ (all_0_9_9 = e3)
% 19.98/5.20 |
% 19.98/5.20 | From (391) and (117) follows:
% 19.98/5.20 | (1470) op(e1, e3) = e3
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (97), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (1625) all_0_13_13 = e4
% 19.98/5.20 |
% 19.98/5.20 | Combining equations (239,1625) yields a new equation:
% 19.98/5.20 | (297) e4 = e2
% 19.98/5.20 |
% 19.98/5.20 | Equations (297) can reduce 205 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (1628) ~ (all_0_13_13 = e4)
% 19.98/5.20 | (2987) all_0_14_14 = e4 | all_0_15_15 = e4
% 19.98/5.20 |
% 19.98/5.20 +-Applying beta-rule and splitting (2987), into two cases.
% 19.98/5.20 |-Branch one:
% 19.98/5.20 | (470) all_0_14_14 = e4
% 19.98/5.20 |
% 19.98/5.20 | Combining equations (391,470) yields a new equation:
% 19.98/5.20 | (452) e4 = e3
% 19.98/5.20 |
% 19.98/5.20 | Equations (452) can reduce 24 to:
% 19.98/5.20 | (267) $false
% 19.98/5.20 |
% 19.98/5.20 |-The branch is then unsatisfiable
% 19.98/5.20 |-Branch two:
% 19.98/5.20 | (514) ~ (all_0_14_14 = e4)
% 19.98/5.20 | (399) all_0_15_15 = e4
% 19.98/5.20 |
% 19.98/5.20 | Equations (399) can reduce 151 to:
% 19.98/5.20 | (400) ~ (all_0_6_6 = e4)
% 19.98/5.20 |
% 19.98/5.20 | Equations (399) can reduce 59 to:
% 19.98/5.20 | (4119) ~ (all_0_18_18 = e4)
% 19.98/5.20 |
% 19.98/5.21 | Simplifying 4119 yields:
% 19.98/5.21 | (674) ~ (all_0_18_18 = e4)
% 19.98/5.21 |
% 19.98/5.21 | From (399) and (83) follows:
% 19.98/5.21 | (2480) op(e1, e2) = e4
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (180), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (437) all_0_6_6 = e2
% 19.98/5.21 |
% 19.98/5.21 | Equations (437) can reduce 155 to:
% 19.98/5.21 | (231) ~ (all_0_18_18 = e2)
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 231 yields:
% 19.98/5.21 | (232) ~ (all_0_18_18 = e2)
% 19.98/5.21 |
% 19.98/5.21 | Equations (437) can reduce 400 to:
% 19.98/5.21 | (233) ~ (e4 = e2)
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 233 yields:
% 19.98/5.21 | (205) ~ (e4 = e2)
% 19.98/5.21 |
% 19.98/5.21 | Equations (437) can reduce 34 to:
% 19.98/5.21 | (134) ~ (e2 = e1)
% 19.98/5.21 |
% 19.98/5.21 | Equations (437) can reduce 408 to:
% 19.98/5.21 | (45) ~ (e2 = e0)
% 19.98/5.21 |
% 19.98/5.21 | From (437) and (89) follows:
% 19.98/5.21 | (1838) op(e3, e2) = e2
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (100), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (284) all_0_16_16 = e2
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (609,284) yields a new equation:
% 19.98/5.21 | (353) e2 = e0
% 19.98/5.21 |
% 19.98/5.21 | Equations (353) can reduce 45 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (246) ~ (all_0_16_16 = e2)
% 19.98/5.21 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (287), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (288) all_0_17_17 = e2
% 19.98/5.21 |
% 19.98/5.21 | Equations (288) can reduce 361 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (361) ~ (all_0_17_17 = e2)
% 19.98/5.21 | (362) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (362), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (363) all_0_18_18 = e2
% 19.98/5.21 |
% 19.98/5.21 | Equations (363) can reduce 232 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (232) ~ (all_0_18_18 = e2)
% 19.98/5.21 | (366) all_0_19_19 = e2 | all_0_20_20 = e2
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (366), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (367) all_0_19_19 = e2
% 19.98/5.21 |
% 19.98/5.21 | Equations (367) can reduce 219 to:
% 19.98/5.21 | (226) ~ (all_0_11_11 = e2)
% 19.98/5.21 |
% 19.98/5.21 | Equations (367) can reduce 6 to:
% 19.98/5.21 | (361) ~ (all_0_17_17 = e2)
% 19.98/5.21 |
% 19.98/5.21 | Equations (367) can reduce 968 to:
% 19.98/5.21 | (235) ~ (e3 = e2)
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 235 yields:
% 19.98/5.21 | (191) ~ (e3 = e2)
% 19.98/5.21 |
% 19.98/5.21 | From (367) and (209) follows:
% 19.98/5.21 | (1259) op(e0, e1) = e2
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (56), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (1385) all_0_7_7 = e1
% 19.98/5.21 |
% 19.98/5.21 | Equations (1385) can reduce 1801 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (1801) ~ (all_0_7_7 = e1)
% 19.98/5.21 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (1802), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (309) all_0_11_11 = e1
% 19.98/5.21 |
% 19.98/5.21 | Equations (309) can reduce 171 to:
% 19.98/5.21 | (1801) ~ (all_0_7_7 = e1)
% 19.98/5.21 |
% 19.98/5.21 | Equations (309) can reduce 197 to:
% 19.98/5.21 | (310) ~ (all_0_9_9 = e1)
% 19.98/5.21 |
% 19.98/5.21 | Equations (309) can reduce 226 to:
% 19.98/5.21 | (1005) ~ (e2 = e1)
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 1005 yields:
% 19.98/5.21 | (134) ~ (e2 = e1)
% 19.98/5.21 |
% 19.98/5.21 | Equations (309) can reduce 81 to:
% 19.98/5.21 | (131) ~ (e1 = e0)
% 19.98/5.21 |
% 19.98/5.21 | From (309) and (162) follows:
% 19.98/5.21 | (1816) op(e2, e1) = e1
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (12), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (315) all_0_9_9 = e4
% 19.98/5.21 |
% 19.98/5.21 | Equations (315) can reduce 124 to:
% 19.98/5.21 | (24) ~ (e4 = e3)
% 19.98/5.21 |
% 19.98/5.21 | Equations (315) can reduce 224 to:
% 19.98/5.21 | (205) ~ (e4 = e2)
% 19.98/5.21 |
% 19.98/5.21 | Equations (315) can reduce 310 to:
% 19.98/5.21 | (217) ~ (e4 = e1)
% 19.98/5.21 |
% 19.98/5.21 | From (315) and (164) follows:
% 19.98/5.21 | (3019) op(e2, e3) = e4
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (211), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (381) all_0_2_2 = e4
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (384,381) yields a new equation:
% 19.98/5.21 | (452) e4 = e3
% 19.98/5.21 |
% 19.98/5.21 | Equations (452) can reduce 24 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (257) ~ (all_0_2_2 = e4)
% 19.98/5.21 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 19.98/5.21 |
% 19.98/5.21 | Equations (384) can reduce 257 to:
% 19.98/5.21 | (807) ~ (e4 = e3)
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 807 yields:
% 19.98/5.21 | (24) ~ (e4 = e3)
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (95), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (448) all_0_6_6 = e3
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (437,448) yields a new equation:
% 19.98/5.21 | (483) e3 = e2
% 19.98/5.21 |
% 19.98/5.21 | Equations (483) can reduce 191 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (426) ~ (all_0_6_6 = e3)
% 19.98/5.21 | (1681) all_0_15_15 = e3 | all_0_18_18 = e3
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (129), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (427) all_0_4_4 = e4
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (1002,427) yields a new equation:
% 19.98/5.21 | (934) e4 = e1
% 19.98/5.21 |
% 19.98/5.21 | Equations (934) can reduce 217 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (261) ~ (all_0_4_4 = e4)
% 19.98/5.21 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (126), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (459) all_0_5_5 = e1
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (406,459) yields a new equation:
% 19.98/5.21 | (871) e1 = e0
% 19.98/5.21 |
% 19.98/5.21 | Equations (871) can reduce 131 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (265) ~ (all_0_5_5 = e1)
% 19.98/5.21 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (430), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (431) all_0_6_6 = e4
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (437,431) yields a new equation:
% 19.98/5.21 | (297) e4 = e2
% 19.98/5.21 |
% 19.98/5.21 | Equations (297) can reduce 205 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (400) ~ (all_0_6_6 = e4)
% 19.98/5.21 | (434) all_0_7_7 = e4 | all_0_8_8 = e4
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (1681), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (462) all_0_15_15 = e3
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (462,399) yields a new equation:
% 19.98/5.21 | (452) e4 = e3
% 19.98/5.21 |
% 19.98/5.21 | Equations (452) can reduce 24 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (394) ~ (all_0_15_15 = e3)
% 19.98/5.21 | (679) all_0_18_18 = e3
% 19.98/5.21 |
% 19.98/5.21 | Equations (679) can reduce 674 to:
% 19.98/5.21 | (807) ~ (e4 = e3)
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 807 yields:
% 19.98/5.21 | (24) ~ (e4 = e3)
% 19.98/5.21 |
% 19.98/5.21 | From (679) and (142) follows:
% 19.98/5.21 | (2975) op(e0, e2) = e3
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (434), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (435) all_0_7_7 = e4
% 19.98/5.21 |
% 19.98/5.21 | Equations (435) can reduce 1801 to:
% 19.98/5.21 | (217) ~ (e4 = e1)
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (1035), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (356) all_0_9_9 = e1
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (315,356) yields a new equation:
% 19.98/5.21 | (1500) e4 = e1
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 1500 yields:
% 19.98/5.21 | (934) e4 = e1
% 19.98/5.21 |
% 19.98/5.21 | Equations (934) can reduce 217 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (310) ~ (all_0_9_9 = e1)
% 19.98/5.21 | (913) all_0_17_17 = e1
% 19.98/5.21 |
% 19.98/5.21 | Equations (913) can reduce 361 to:
% 19.98/5.21 | (1005) ~ (e2 = e1)
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 1005 yields:
% 19.98/5.21 | (134) ~ (e2 = e1)
% 19.98/5.21 |
% 19.98/5.21 | Equations (913) can reduce 654 to:
% 19.98/5.21 | (131) ~ (e1 = e0)
% 19.98/5.21 |
% 19.98/5.21 | From (913) and (14) follows:
% 19.98/5.21 | (4211) op(e0, e3) = e1
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (54), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (1420) unit = e2
% 19.98/5.21 |
% 19.98/5.21 | From (1420) and (71) follows:
% 19.98/5.21 | (3044) op(e2, e3) = e3
% 19.98/5.21 |
% 19.98/5.21 | From (1420) and (112) follows:
% 19.98/5.21 | (2453) op(e3, e2) = e3
% 19.98/5.21 |
% 19.98/5.21 | From (1420) and (146) follows:
% 19.98/5.21 | (1422) op(e1, e2) = e1
% 19.98/5.21 |
% 19.98/5.21 | From (1420) and (220) follows:
% 19.98/5.21 | (1423) op(e0, e2) = e0
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 19.98/5.21 | (483) e3 = e2
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields:
% 19.98/5.21 | (452) e4 = e3
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields:
% 19.98/5.21 | (934) e4 = e1
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e0, e2, e0, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e0, yields:
% 19.98/5.21 | (1103) e3 = e0
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (452,934) yields a new equation:
% 19.98/5.21 | (832) e3 = e1
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 832 yields:
% 19.98/5.21 | (833) e3 = e1
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (833,483) yields a new equation:
% 19.98/5.21 | (760) e2 = e1
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (1103,483) yields a new equation:
% 19.98/5.21 | (353) e2 = e0
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (760,353) yields a new equation:
% 19.98/5.21 | (1156) e1 = e0
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 1156 yields:
% 19.98/5.21 | (871) e1 = e0
% 19.98/5.21 |
% 19.98/5.21 | Equations (871) can reduce 131 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (1432) ~ (unit = e2)
% 19.98/5.21 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (1433), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (1434) unit = e4
% 19.98/5.21 |
% 19.98/5.21 | From (1434) and (112) follows:
% 19.98/5.21 | (1437) op(e3, e4) = e3
% 19.98/5.21 |
% 19.98/5.21 | From (1434) and (169) follows:
% 19.98/5.21 | (1438) op(e2, e4) = e2
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 19.98/5.21 | (833) e3 = e1
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 19.98/5.21 | (483) e3 = e2
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (483,833) yields a new equation:
% 19.98/5.21 | (759) e2 = e1
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 759 yields:
% 19.98/5.21 | (760) e2 = e1
% 19.98/5.21 |
% 19.98/5.21 | Equations (760) can reduce 134 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (1449) ~ (unit = e4)
% 19.98/5.21 | (1450) unit = e3 | unit = e1 | unit = e0
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (1450), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (1451) unit = e0
% 19.98/5.21 |
% 19.98/5.21 | From (1451) and (71) follows:
% 19.98/5.21 | (4241) op(e0, e3) = e3
% 19.98/5.21 |
% 19.98/5.21 | From (1451) and (153) follows:
% 19.98/5.21 | (3075) op(e0, e2) = e2
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields:
% 19.98/5.21 | (833) e3 = e1
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e0, e2, e2, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e2, yields:
% 19.98/5.21 | (483) e3 = e2
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (483,833) yields a new equation:
% 19.98/5.21 | (759) e2 = e1
% 19.98/5.21 |
% 19.98/5.21 | Simplifying 759 yields:
% 19.98/5.21 | (760) e2 = e1
% 19.98/5.21 |
% 19.98/5.21 | Equations (760) can reduce 134 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (564) ~ (unit = e0)
% 19.98/5.21 | (1454) unit = e3 | unit = e1
% 19.98/5.21 |
% 19.98/5.21 +-Applying beta-rule and splitting (1454), into two cases.
% 19.98/5.21 |-Branch one:
% 19.98/5.21 | (1455) unit = e3
% 19.98/5.21 |
% 19.98/5.21 | From (1455) and (42) follows:
% 19.98/5.21 | (1456) op(e3, e0) = e0
% 19.98/5.21 |
% 19.98/5.21 | From (1455) and (146) follows:
% 19.98/5.21 | (1458) op(e1, e3) = e1
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 19.98/5.21 | (1103) e3 = e0
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 19.98/5.21 | (833) e3 = e1
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (1103,833) yields a new equation:
% 19.98/5.21 | (871) e1 = e0
% 19.98/5.21 |
% 19.98/5.21 | Equations (871) can reduce 131 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.21 |-Branch two:
% 19.98/5.21 | (493) ~ (unit = e3)
% 19.98/5.21 | (1467) unit = e1
% 19.98/5.21 |
% 19.98/5.21 | Equations (1467) can reduce 564 to:
% 19.98/5.21 | (131) ~ (e1 = e0)
% 19.98/5.21 |
% 19.98/5.21 | From (1467) and (169) follows:
% 19.98/5.21 | (3099) op(e2, e1) = e2
% 19.98/5.21 |
% 19.98/5.21 | From (1467) and (220) follows:
% 19.98/5.21 | (1472) op(e0, e1) = e0
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 19.98/5.21 | (760) e2 = e1
% 19.98/5.21 |
% 19.98/5.21 | Instantiating formula (178) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 19.98/5.21 | (353) e2 = e0
% 19.98/5.21 |
% 19.98/5.21 | Combining equations (353,760) yields a new equation:
% 19.98/5.21 | (871) e1 = e0
% 19.98/5.21 |
% 19.98/5.21 | Equations (871) can reduce 131 to:
% 19.98/5.21 | (267) $false
% 19.98/5.21 |
% 19.98/5.21 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (450) ~ (all_0_7_7 = e4)
% 19.98/5.22 | (296) all_0_8_8 = e4
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (296,425) yields a new equation:
% 19.98/5.22 | (620) e4 = e3
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 620 yields:
% 19.98/5.22 | (452) e4 = e3
% 19.98/5.22 |
% 19.98/5.22 | Equations (452) can reduce 24 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (302) ~ (all_0_9_9 = e4)
% 19.98/5.22 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (5), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (311) all_0_9_9 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (311) can reduce 224 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (224) ~ (all_0_9_9 = e2)
% 19.98/5.22 | (314) all_0_9_9 = e4 | all_0_9_9 = e1 | all_0_9_9 = e0
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (25), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (741) all_0_16_16 = e1
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (741,609) yields a new equation:
% 19.98/5.22 | (1156) e1 = e0
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 1156 yields:
% 19.98/5.22 | (871) e1 = e0
% 19.98/5.22 |
% 19.98/5.22 | Equations (871) can reduce 131 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (911) ~ (all_0_16_16 = e1)
% 19.98/5.22 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (314), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (315) all_0_9_9 = e4
% 19.98/5.22 |
% 19.98/5.22 | Equations (315) can reduce 302 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (302) ~ (all_0_9_9 = e4)
% 19.98/5.22 | (318) all_0_9_9 = e1 | all_0_9_9 = e0
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (912), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (913) all_0_17_17 = e1
% 19.98/5.22 |
% 19.98/5.22 | Equations (913) can reduce 163 to:
% 19.98/5.22 | (310) ~ (all_0_9_9 = e1)
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (318), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (319) all_0_9_9 = e0
% 19.98/5.22 |
% 19.98/5.22 | Equations (319) can reduce 355 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (355) ~ (all_0_9_9 = e0)
% 19.98/5.22 | (356) all_0_9_9 = e1
% 19.98/5.22 |
% 19.98/5.22 | Equations (356) can reduce 310 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (720) ~ (all_0_17_17 = e1)
% 19.98/5.22 | (916) all_0_19_19 = e1
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (367,916) yields a new equation:
% 19.98/5.22 | (759) e2 = e1
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 759 yields:
% 19.98/5.22 | (760) e2 = e1
% 19.98/5.22 |
% 19.98/5.22 | Equations (760) can reduce 134 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (1387) ~ (all_0_11_11 = e1)
% 19.98/5.22 | (916) all_0_19_19 = e1
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (367,916) yields a new equation:
% 19.98/5.22 | (759) e2 = e1
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 759 yields:
% 19.98/5.22 | (760) e2 = e1
% 19.98/5.22 |
% 19.98/5.22 | Equations (760) can reduce 134 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (274) ~ (all_0_19_19 = e2)
% 19.98/5.22 | (337) all_0_20_20 = e2
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (337,341) yields a new equation:
% 19.98/5.22 | (297) e4 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (297) can reduce 205 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (223) ~ (all_0_6_6 = e2)
% 19.98/5.22 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (440), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (431) all_0_6_6 = e4
% 19.98/5.22 |
% 19.98/5.22 | Equations (431) can reduce 400 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (400) ~ (all_0_6_6 = e4)
% 19.98/5.22 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (444), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (411) all_0_6_6 = e0
% 19.98/5.22 |
% 19.98/5.22 | Equations (411) can reduce 408 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (408) ~ (all_0_6_6 = e0)
% 19.98/5.22 | (448) all_0_6_6 = e3
% 19.98/5.22 |
% 19.98/5.22 | Equations (448) can reduce 426 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (464) ~ (all_0_14_14 = e3)
% 19.98/5.22 | (462) all_0_15_15 = e3
% 19.98/5.22 |
% 19.98/5.22 | Equations (462) can reduce 151 to:
% 19.98/5.22 | (426) ~ (all_0_6_6 = e3)
% 19.98/5.22 |
% 19.98/5.22 | Equations (462) can reduce 38 to:
% 19.98/5.22 | (464) ~ (all_0_14_14 = e3)
% 19.98/5.22 |
% 19.98/5.22 | Equations (462) can reduce 59 to:
% 19.98/5.22 | (467) ~ (all_0_18_18 = e3)
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 467 yields:
% 19.98/5.22 | (468) ~ (all_0_18_18 = e3)
% 19.98/5.22 |
% 19.98/5.22 | Equations (462) can reduce 230 to:
% 19.98/5.22 | (191) ~ (e3 = e2)
% 19.98/5.22 |
% 19.98/5.22 | Equations (462) can reduce 183 to:
% 19.98/5.22 | (133) ~ (e3 = e1)
% 19.98/5.22 |
% 19.98/5.22 | Equations (462) can reduce 98 to:
% 19.98/5.22 | (61) ~ (e3 = e0)
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (147), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (431) all_0_6_6 = e4
% 19.98/5.22 |
% 19.98/5.22 | Equations (431) can reduce 155 to:
% 19.98/5.22 | (4119) ~ (all_0_18_18 = e4)
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 4119 yields:
% 19.98/5.22 | (674) ~ (all_0_18_18 = e4)
% 19.98/5.22 |
% 19.98/5.22 | Equations (431) can reduce 426 to:
% 19.98/5.22 | (24) ~ (e4 = e3)
% 19.98/5.22 |
% 19.98/5.22 | From (431) and (89) follows:
% 19.98/5.22 | (1692) op(e3, e2) = e4
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (80), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (437) all_0_6_6 = e2
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (431,437) yields a new equation:
% 19.98/5.22 | (847) e4 = e2
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 847 yields:
% 19.98/5.22 | (297) e4 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (297) can reduce 205 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (223) ~ (all_0_6_6 = e2)
% 19.98/5.22 | (4338) all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (431) can reduce 223 to:
% 19.98/5.22 | (205) ~ (e4 = e2)
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (97), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (1625) all_0_13_13 = e4
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (239,1625) yields a new equation:
% 19.98/5.22 | (297) e4 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (297) can reduce 205 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (1628) ~ (all_0_13_13 = e4)
% 19.98/5.22 | (2987) all_0_14_14 = e4 | all_0_15_15 = e4
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (2987), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (470) all_0_14_14 = e4
% 19.98/5.22 |
% 19.98/5.22 | Equations (470) can reduce 210 to:
% 19.98/5.22 | (302) ~ (all_0_9_9 = e4)
% 19.98/5.22 |
% 19.98/5.22 | Equations (470) can reduce 464 to:
% 19.98/5.22 | (24) ~ (e4 = e3)
% 19.98/5.22 |
% 19.98/5.22 | From (470) and (117) follows:
% 19.98/5.22 | (1297) op(e1, e3) = e4
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (12), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (315) all_0_9_9 = e4
% 19.98/5.22 |
% 19.98/5.22 | Equations (315) can reduce 302 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (302) ~ (all_0_9_9 = e4)
% 19.98/5.22 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (213), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (363) all_0_18_18 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (363) can reduce 137 to:
% 19.98/5.22 | (361) ~ (all_0_17_17 = e2)
% 19.98/5.22 |
% 19.98/5.22 | Equations (363) can reduce 154 to:
% 19.98/5.22 | (273) ~ (all_0_19_19 = e2)
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 273 yields:
% 19.98/5.22 | (274) ~ (all_0_19_19 = e2)
% 19.98/5.22 |
% 19.98/5.22 | Equations (363) can reduce 468 to:
% 19.98/5.22 | (235) ~ (e3 = e2)
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 235 yields:
% 19.98/5.22 | (191) ~ (e3 = e2)
% 19.98/5.22 |
% 19.98/5.22 | From (363) and (142) follows:
% 19.98/5.22 | (3075) op(e0, e2) = e2
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (73), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (367) all_0_19_19 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (367) can reduce 274 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (274) ~ (all_0_19_19 = e2)
% 19.98/5.22 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (11), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (1125) all_0_7_7 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (1125) can reduce 48 to:
% 19.98/5.22 | (273) ~ (all_0_19_19 = e2)
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 273 yields:
% 19.98/5.22 | (274) ~ (all_0_19_19 = e2)
% 19.98/5.22 |
% 19.98/5.22 | Equations (1125) can reduce 1269 to:
% 19.98/5.22 | (235) ~ (e3 = e2)
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 235 yields:
% 19.98/5.22 | (191) ~ (e3 = e2)
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (5), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (311) all_0_9_9 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (311) can reduce 224 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (224) ~ (all_0_9_9 = e2)
% 19.98/5.22 | (314) all_0_9_9 = e4 | all_0_9_9 = e1 | all_0_9_9 = e0
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (314), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (315) all_0_9_9 = e4
% 19.98/5.22 |
% 19.98/5.22 | Equations (315) can reduce 302 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (302) ~ (all_0_9_9 = e4)
% 19.98/5.22 | (318) all_0_9_9 = e1 | all_0_9_9 = e0
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (318), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (319) all_0_9_9 = e0
% 19.98/5.22 |
% 19.98/5.22 | Equations (319) can reduce 355 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (355) ~ (all_0_9_9 = e0)
% 19.98/5.22 | (356) all_0_9_9 = e1
% 19.98/5.22 |
% 19.98/5.22 | Equations (356) can reduce 163 to:
% 19.98/5.22 | (719) ~ (all_0_17_17 = e1)
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 719 yields:
% 19.98/5.22 | (720) ~ (all_0_17_17 = e1)
% 19.98/5.22 |
% 19.98/5.22 | Equations (356) can reduce 355 to:
% 19.98/5.22 | (131) ~ (e1 = e0)
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (25), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (741) all_0_16_16 = e1
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (609,741) yields a new equation:
% 19.98/5.22 | (871) e1 = e0
% 19.98/5.22 |
% 19.98/5.22 | Equations (871) can reduce 131 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (911) ~ (all_0_16_16 = e1)
% 19.98/5.22 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (912), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (913) all_0_17_17 = e1
% 19.98/5.22 |
% 19.98/5.22 | Equations (913) can reduce 720 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (720) ~ (all_0_17_17 = e1)
% 19.98/5.22 | (916) all_0_19_19 = e1
% 19.98/5.22 |
% 19.98/5.22 | Equations (916) can reduce 219 to:
% 19.98/5.22 | (1387) ~ (all_0_11_11 = e1)
% 19.98/5.22 |
% 19.98/5.22 | Equations (916) can reduce 274 to:
% 19.98/5.22 | (1005) ~ (e2 = e1)
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 1005 yields:
% 19.98/5.22 | (134) ~ (e2 = e1)
% 19.98/5.22 |
% 19.98/5.22 | From (916) and (209) follows:
% 19.98/5.22 | (1813) op(e0, e1) = e1
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (269), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (306) all_0_11_11 = e4
% 19.98/5.22 |
% 19.98/5.22 | Equations (306) can reduce 203 to:
% 19.98/5.22 | (24) ~ (e4 = e3)
% 19.98/5.22 |
% 19.98/5.22 | Equations (306) can reduce 1387 to:
% 19.98/5.22 | (217) ~ (e4 = e1)
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (102), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (804) all_0_1_1 = e3
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (804,540) yields a new equation:
% 19.98/5.22 | (545) e3 = e2
% 19.98/5.22 |
% 19.98/5.22 | Simplifying 545 yields:
% 19.98/5.22 | (483) e3 = e2
% 19.98/5.22 |
% 19.98/5.22 | Equations (483) can reduce 191 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (829) ~ (all_0_1_1 = e3)
% 19.98/5.22 | (830) all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (830), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (456) all_0_5_5 = e3
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (406,456) yields a new equation:
% 19.98/5.22 | (1103) e3 = e0
% 19.98/5.22 |
% 19.98/5.22 | Equations (1103) can reduce 61 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (392) ~ (all_0_5_5 = e3)
% 19.98/5.22 | (836) all_0_14_14 = e3 | all_0_17_17 = e3
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (836), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (391) all_0_14_14 = e3
% 19.98/5.22 |
% 19.98/5.22 | Combining equations (391,470) yields a new equation:
% 19.98/5.22 | (452) e4 = e3
% 19.98/5.22 |
% 19.98/5.22 | Equations (452) can reduce 24 to:
% 19.98/5.22 | (267) $false
% 19.98/5.22 |
% 19.98/5.22 |-The branch is then unsatisfiable
% 19.98/5.22 |-Branch two:
% 19.98/5.22 | (464) ~ (all_0_14_14 = e3)
% 19.98/5.22 | (842) all_0_17_17 = e3
% 19.98/5.22 |
% 19.98/5.22 | Equations (842) can reduce 361 to:
% 19.98/5.22 | (191) ~ (e3 = e2)
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (75), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (472), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (473), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 19.98/5.22 |
% 19.98/5.22 +-Applying beta-rule and splitting (474), into two cases.
% 19.98/5.22 |-Branch one:
% 19.98/5.22 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 19.98/5.22 |
% 19.98/5.22 | Applying alpha-rule on (475) yields:
% 19.98/5.22 | (270) all_0_2_2 = e2
% 19.98/5.22 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 19.98/5.22 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 19.98/5.22 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 19.98/5.22 | (310) ~ (all_0_9_9 = e1)
% 19.98/5.22 | (481) ~ (unit = e1)
% 19.98/5.23 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 19.98/5.23 |
% 19.98/5.23 | Combining equations (384,270) yields a new equation:
% 19.98/5.23 | (545) e3 = e2
% 19.98/5.23 |
% 19.98/5.23 | Simplifying 545 yields:
% 19.98/5.23 | (483) e3 = e2
% 19.98/5.23 |
% 19.98/5.23 | Equations (483) can reduce 191 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 19.98/5.23 |
% 19.98/5.23 | Applying alpha-rule on (485) yields:
% 19.98/5.23 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 19.98/5.23 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 19.98/5.23 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 19.98/5.23 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 19.98/5.23 | (315) all_0_9_9 = e4
% 19.98/5.23 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 19.98/5.23 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 19.98/5.23 | (493) ~ (unit = e3)
% 19.98/5.23 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 19.98/5.23 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 19.98/5.23 | (496) ~ (all_0_2_2 = e3)
% 19.98/5.23 |
% 19.98/5.23 | Combining equations (315,356) yields a new equation:
% 19.98/5.23 | (1500) e4 = e1
% 19.98/5.23 |
% 19.98/5.23 | Simplifying 1500 yields:
% 19.98/5.23 | (934) e4 = e1
% 19.98/5.23 |
% 19.98/5.23 | Equations (934) can reduce 217 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 19.98/5.23 |
% 19.98/5.23 | Applying alpha-rule on (498) yields:
% 19.98/5.23 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 19.98/5.23 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 19.98/5.23 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 19.98/5.23 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 19.98/5.23 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 19.98/5.23 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 19.98/5.23 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 19.98/5.23 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 19.98/5.23 | (358) ~ (all_0_12_12 = e4)
% 19.98/5.23 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 19.98/5.23 | (255) ~ (all_0_1_1 = e4)
% 19.98/5.23 | (510) ~ (all_0_17_17 = e4)
% 19.98/5.23 | (257) ~ (all_0_2_2 = e4)
% 19.98/5.23 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 19.98/5.23 | (303) ~ (all_0_11_11 = e4)
% 19.98/5.23 | (514) ~ (all_0_14_14 = e4)
% 19.98/5.23 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 19.98/5.23 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 19.98/5.23 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 19.98/5.23 |
% 19.98/5.23 | Equations (470) can reduce 514 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 19.98/5.23 |
% 19.98/5.23 | Applying alpha-rule on (519) yields:
% 19.98/5.23 | (520) ~ (all_0_1_1 = e2)
% 19.98/5.23 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 19.98/5.23 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 19.98/5.23 | (226) ~ (all_0_11_11 = e2)
% 19.98/5.23 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 19.98/5.23 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 19.98/5.23 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 19.98/5.23 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 19.98/5.23 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 19.98/5.23 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 19.98/5.23 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 19.98/5.23 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 19.98/5.23 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 19.98/5.23 | (272) ~ (all_0_3_3 = e2)
% 19.98/5.23 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 19.98/5.23 | (274) ~ (all_0_19_19 = e2)
% 19.98/5.23 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 19.98/5.23 | (537) ~ (all_0_7_7 = e2)
% 19.98/5.23 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 19.98/5.23 | (224) ~ (all_0_9_9 = e2)
% 19.98/5.23 |
% 19.98/5.23 | Equations (1125) can reduce 537 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 19.98/5.23 |
% 19.98/5.23 | Applying alpha-rule on (558) yields:
% 19.98/5.23 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 19.98/5.23 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 19.98/5.23 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 19.98/5.23 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 19.98/5.23 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 19.98/5.23 | (564) ~ (unit = e0)
% 19.98/5.23 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 19.98/5.23 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 19.98/5.23 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 19.98/5.23 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 19.98/5.23 | (355) ~ (all_0_9_9 = e0)
% 19.98/5.23 |
% 19.98/5.23 +-Applying beta-rule and splitting (54), into two cases.
% 19.98/5.23 |-Branch one:
% 19.98/5.23 | (1420) unit = e2
% 19.98/5.23 |
% 19.98/5.23 | Equations (1420) can reduce 564 to:
% 19.98/5.23 | (45) ~ (e2 = e0)
% 19.98/5.23 |
% 19.98/5.23 | From (1420) and (220) follows:
% 19.98/5.23 | (1423) op(e0, e2) = e0
% 19.98/5.23 |
% 19.98/5.23 | Instantiating formula (178) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 19.98/5.23 | (353) e2 = e0
% 19.98/5.23 |
% 19.98/5.23 | Equations (353) can reduce 45 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (1432) ~ (unit = e2)
% 19.98/5.23 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 19.98/5.23 |
% 19.98/5.23 +-Applying beta-rule and splitting (1433), into two cases.
% 19.98/5.23 |-Branch one:
% 19.98/5.23 | (1434) unit = e4
% 19.98/5.23 |
% 19.98/5.23 | From (1434) and (112) follows:
% 19.98/5.23 | (1437) op(e3, e4) = e3
% 19.98/5.23 |
% 19.98/5.23 | From (1434) and (169) follows:
% 19.98/5.23 | (1438) op(e2, e4) = e2
% 19.98/5.23 |
% 19.98/5.23 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 19.98/5.23 | (833) e3 = e1
% 19.98/5.23 |
% 19.98/5.23 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 19.98/5.23 | (483) e3 = e2
% 19.98/5.23 |
% 19.98/5.23 | Combining equations (483,833) yields a new equation:
% 19.98/5.23 | (759) e2 = e1
% 19.98/5.23 |
% 19.98/5.23 | Simplifying 759 yields:
% 19.98/5.23 | (760) e2 = e1
% 19.98/5.23 |
% 19.98/5.23 | Equations (760) can reduce 134 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (1449) ~ (unit = e4)
% 19.98/5.23 | (1450) unit = e3 | unit = e1 | unit = e0
% 19.98/5.23 |
% 19.98/5.23 +-Applying beta-rule and splitting (1450), into two cases.
% 19.98/5.23 |-Branch one:
% 19.98/5.23 | (1451) unit = e0
% 19.98/5.23 |
% 19.98/5.23 | Equations (1451) can reduce 564 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (564) ~ (unit = e0)
% 19.98/5.23 | (1454) unit = e3 | unit = e1
% 19.98/5.23 |
% 19.98/5.23 +-Applying beta-rule and splitting (1454), into two cases.
% 19.98/5.23 |-Branch one:
% 19.98/5.23 | (1455) unit = e3
% 19.98/5.23 |
% 19.98/5.23 | From (1455) and (153) follows:
% 19.98/5.23 | (1838) op(e3, e2) = e2
% 19.98/5.23 |
% 19.98/5.23 | From (1455) and (146) follows:
% 19.98/5.23 | (1458) op(e1, e3) = e1
% 19.98/5.23 |
% 19.98/5.23 | Instantiating formula (178) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 19.98/5.23 | (297) e4 = e2
% 19.98/5.23 |
% 19.98/5.23 | Instantiating formula (178) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 19.98/5.23 | (934) e4 = e1
% 19.98/5.23 |
% 19.98/5.23 | Combining equations (297,934) yields a new equation:
% 19.98/5.23 | (759) e2 = e1
% 19.98/5.23 |
% 19.98/5.23 | Simplifying 759 yields:
% 19.98/5.23 | (760) e2 = e1
% 19.98/5.23 |
% 19.98/5.23 | Equations (760) can reduce 134 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (493) ~ (unit = e3)
% 19.98/5.23 | (1467) unit = e1
% 19.98/5.23 |
% 19.98/5.23 | Equations (1467) can reduce 564 to:
% 19.98/5.23 | (131) ~ (e1 = e0)
% 19.98/5.23 |
% 19.98/5.23 | From (1467) and (220) follows:
% 19.98/5.23 | (1472) op(e0, e1) = e0
% 19.98/5.23 |
% 19.98/5.23 | Instantiating formula (178) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 19.98/5.23 | (871) e1 = e0
% 19.98/5.23 |
% 19.98/5.23 | Equations (871) can reduce 131 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (303) ~ (all_0_11_11 = e4)
% 19.98/5.23 | (309) all_0_11_11 = e1
% 19.98/5.23 |
% 19.98/5.23 | Equations (309) can reduce 1387 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (537) ~ (all_0_7_7 = e2)
% 19.98/5.23 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 19.98/5.23 |
% 19.98/5.23 +-Applying beta-rule and splitting (211), into two cases.
% 19.98/5.23 |-Branch one:
% 19.98/5.23 | (381) all_0_2_2 = e4
% 19.98/5.23 |
% 19.98/5.23 | Combining equations (384,381) yields a new equation:
% 19.98/5.23 | (452) e4 = e3
% 19.98/5.23 |
% 19.98/5.23 | Equations (452) can reduce 24 to:
% 19.98/5.23 | (267) $false
% 19.98/5.23 |
% 19.98/5.23 |-The branch is then unsatisfiable
% 19.98/5.23 |-Branch two:
% 19.98/5.23 | (257) ~ (all_0_2_2 = e4)
% 19.98/5.23 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 19.98/5.23 |
% 19.98/5.23 | Equations (384) can reduce 257 to:
% 19.98/5.23 | (807) ~ (e4 = e3)
% 19.98/5.23 |
% 19.98/5.23 | Simplifying 807 yields:
% 19.98/5.23 | (24) ~ (e4 = e3)
% 19.98/5.23 |
% 19.98/5.23 +-Applying beta-rule and splitting (102), into two cases.
% 19.98/5.23 |-Branch one:
% 19.98/5.23 | (804) all_0_1_1 = e3
% 19.98/5.23 |
% 19.98/5.23 | Combining equations (804,540) yields a new equation:
% 19.98/5.23 | (545) e3 = e2
% 19.98/5.24 |
% 19.98/5.24 | Simplifying 545 yields:
% 19.98/5.24 | (483) e3 = e2
% 19.98/5.24 |
% 19.98/5.24 | Equations (483) can reduce 191 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (829) ~ (all_0_1_1 = e3)
% 19.98/5.24 | (830) all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (830), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (456) all_0_5_5 = e3
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (406,456) yields a new equation:
% 19.98/5.24 | (1103) e3 = e0
% 19.98/5.24 |
% 19.98/5.24 | Equations (1103) can reduce 61 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (392) ~ (all_0_5_5 = e3)
% 19.98/5.24 | (836) all_0_14_14 = e3 | all_0_17_17 = e3
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (836), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (391) all_0_14_14 = e3
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (470,391) yields a new equation:
% 19.98/5.24 | (620) e4 = e3
% 19.98/5.24 |
% 19.98/5.24 | Simplifying 620 yields:
% 19.98/5.24 | (452) e4 = e3
% 19.98/5.24 |
% 19.98/5.24 | Equations (452) can reduce 24 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (464) ~ (all_0_14_14 = e3)
% 19.98/5.24 | (842) all_0_17_17 = e3
% 19.98/5.24 |
% 19.98/5.24 | Equations (842) can reduce 163 to:
% 19.98/5.24 | (124) ~ (all_0_9_9 = e3)
% 19.98/5.24 |
% 19.98/5.24 | Equations (842) can reduce 361 to:
% 19.98/5.24 | (191) ~ (e3 = e2)
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (101), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (270) all_0_2_2 = e2
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (384,270) yields a new equation:
% 19.98/5.24 | (545) e3 = e2
% 19.98/5.24 |
% 19.98/5.24 | Simplifying 545 yields:
% 19.98/5.24 | (483) e3 = e2
% 19.98/5.24 |
% 19.98/5.24 | Equations (483) can reduce 191 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (379) ~ (all_0_2_2 = e2)
% 19.98/5.24 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (25), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (741) all_0_16_16 = e1
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (609,741) yields a new equation:
% 19.98/5.24 | (871) e1 = e0
% 19.98/5.24 |
% 19.98/5.24 | Equations (871) can reduce 131 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (911) ~ (all_0_16_16 = e1)
% 19.98/5.24 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 19.98/5.24 |
% 19.98/5.24 | Equations (609) can reduce 911 to:
% 19.98/5.24 | (788) ~ (e1 = e0)
% 19.98/5.24 |
% 19.98/5.24 | Simplifying 788 yields:
% 19.98/5.24 | (131) ~ (e1 = e0)
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (126), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (459) all_0_5_5 = e1
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (406,459) yields a new equation:
% 19.98/5.24 | (871) e1 = e0
% 19.98/5.24 |
% 19.98/5.24 | Equations (871) can reduce 131 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (265) ~ (all_0_5_5 = e1)
% 19.98/5.24 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (1035), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (356) all_0_9_9 = e1
% 19.98/5.24 |
% 19.98/5.24 | Equations (356) can reduce 197 to:
% 19.98/5.24 | (1386) ~ (all_0_11_11 = e1)
% 19.98/5.24 |
% 19.98/5.24 | Simplifying 1386 yields:
% 19.98/5.24 | (1387) ~ (all_0_11_11 = e1)
% 19.98/5.24 |
% 19.98/5.24 | Equations (356) can reduce 124 to:
% 19.98/5.24 | (743) ~ (e3 = e1)
% 19.98/5.24 |
% 19.98/5.24 | Simplifying 743 yields:
% 19.98/5.24 | (133) ~ (e3 = e1)
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (269), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (306) all_0_11_11 = e4
% 19.98/5.24 |
% 19.98/5.24 | Equations (306) can reduce 226 to:
% 19.98/5.24 | (205) ~ (e4 = e2)
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (549), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (1125) all_0_7_7 = e2
% 19.98/5.24 |
% 19.98/5.24 | Equations (1125) can reduce 537 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (537) ~ (all_0_7_7 = e2)
% 19.98/5.24 | (1252) all_0_11_11 = e2 | all_0_19_19 = e2
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (912), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (913) all_0_17_17 = e1
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (913,842) yields a new equation:
% 19.98/5.24 | (833) e3 = e1
% 19.98/5.24 |
% 19.98/5.24 | Equations (833) can reduce 133 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (720) ~ (all_0_17_17 = e1)
% 19.98/5.24 | (916) all_0_19_19 = e1
% 19.98/5.24 |
% 19.98/5.24 | Equations (916) can reduce 274 to:
% 19.98/5.24 | (1005) ~ (e2 = e1)
% 19.98/5.24 |
% 19.98/5.24 | Simplifying 1005 yields:
% 19.98/5.24 | (134) ~ (e2 = e1)
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (1252), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (266) all_0_11_11 = e2
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (306,266) yields a new equation:
% 19.98/5.24 | (847) e4 = e2
% 19.98/5.24 |
% 19.98/5.24 | Simplifying 847 yields:
% 19.98/5.24 | (297) e4 = e2
% 19.98/5.24 |
% 19.98/5.24 | Equations (297) can reduce 205 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (226) ~ (all_0_11_11 = e2)
% 19.98/5.24 | (367) all_0_19_19 = e2
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (916,367) yields a new equation:
% 19.98/5.24 | (760) e2 = e1
% 19.98/5.24 |
% 19.98/5.24 | Equations (760) can reduce 134 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (303) ~ (all_0_11_11 = e4)
% 19.98/5.24 | (309) all_0_11_11 = e1
% 19.98/5.24 |
% 19.98/5.24 | Equations (309) can reduce 1387 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (310) ~ (all_0_9_9 = e1)
% 19.98/5.24 | (913) all_0_17_17 = e1
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (913,842) yields a new equation:
% 19.98/5.24 | (833) e3 = e1
% 19.98/5.24 |
% 19.98/5.24 | Equations (833) can reduce 133 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (232) ~ (all_0_18_18 = e2)
% 19.98/5.24 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (598), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (599) all_0_18_18 = e4
% 19.98/5.24 |
% 19.98/5.24 | Equations (599) can reduce 674 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (674) ~ (all_0_18_18 = e4)
% 19.98/5.24 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (675), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (420) all_0_18_18 = e0
% 19.98/5.24 |
% 19.98/5.24 | Equations (420) can reduce 570 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (570) ~ (all_0_18_18 = e0)
% 19.98/5.24 | (679) all_0_18_18 = e3
% 19.98/5.24 |
% 19.98/5.24 | Equations (679) can reduce 468 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (514) ~ (all_0_14_14 = e4)
% 19.98/5.24 | (399) all_0_15_15 = e4
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (462,399) yields a new equation:
% 19.98/5.24 | (452) e4 = e3
% 19.98/5.24 |
% 19.98/5.24 | Equations (452) can reduce 24 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (400) ~ (all_0_6_6 = e4)
% 19.98/5.24 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (97), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (1625) all_0_13_13 = e4
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (239,1625) yields a new equation:
% 19.98/5.24 | (297) e4 = e2
% 19.98/5.24 |
% 19.98/5.24 | Equations (297) can reduce 205 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (1628) ~ (all_0_13_13 = e4)
% 19.98/5.24 | (2987) all_0_14_14 = e4 | all_0_15_15 = e4
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (2987), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (470) all_0_14_14 = e4
% 19.98/5.24 |
% 19.98/5.24 | Equations (470) can reduce 210 to:
% 19.98/5.24 | (302) ~ (all_0_9_9 = e4)
% 19.98/5.24 |
% 19.98/5.24 | Equations (470) can reduce 181 to:
% 19.98/5.24 | (217) ~ (e4 = e1)
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (12), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (315) all_0_9_9 = e4
% 19.98/5.24 |
% 19.98/5.24 | Equations (315) can reduce 302 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (302) ~ (all_0_9_9 = e4)
% 19.98/5.24 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (75), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (472), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (473), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 19.98/5.24 |
% 19.98/5.24 +-Applying beta-rule and splitting (474), into two cases.
% 19.98/5.24 |-Branch one:
% 19.98/5.24 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 19.98/5.24 |
% 19.98/5.24 | Applying alpha-rule on (475) yields:
% 19.98/5.24 | (270) all_0_2_2 = e2
% 19.98/5.24 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 19.98/5.24 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 19.98/5.24 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 19.98/5.24 | (310) ~ (all_0_9_9 = e1)
% 19.98/5.24 | (481) ~ (unit = e1)
% 19.98/5.24 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 19.98/5.24 |
% 19.98/5.24 | Combining equations (270,384) yields a new equation:
% 19.98/5.24 | (483) e3 = e2
% 19.98/5.24 |
% 19.98/5.24 | Equations (483) can reduce 191 to:
% 19.98/5.24 | (267) $false
% 19.98/5.24 |
% 19.98/5.24 |-The branch is then unsatisfiable
% 19.98/5.24 |-Branch two:
% 19.98/5.24 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 20.26/5.24 |
% 20.26/5.24 | Applying alpha-rule on (485) yields:
% 20.26/5.24 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 20.26/5.24 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 20.26/5.24 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 20.26/5.24 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 20.26/5.24 | (315) all_0_9_9 = e4
% 20.26/5.24 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 20.26/5.24 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 20.26/5.24 | (493) ~ (unit = e3)
% 20.26/5.24 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 20.26/5.24 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 20.26/5.24 | (496) ~ (all_0_2_2 = e3)
% 20.26/5.24 |
% 20.26/5.24 | Equations (315) can reduce 302 to:
% 20.26/5.24 | (267) $false
% 20.26/5.24 |
% 20.26/5.24 |-The branch is then unsatisfiable
% 20.26/5.24 |-Branch two:
% 20.26/5.24 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 20.26/5.24 |
% 20.26/5.24 | Applying alpha-rule on (498) yields:
% 20.26/5.24 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 20.26/5.24 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 20.26/5.24 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 20.26/5.24 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 20.26/5.24 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 20.26/5.24 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 20.26/5.24 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 20.26/5.24 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 20.26/5.24 | (358) ~ (all_0_12_12 = e4)
% 20.26/5.24 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 20.26/5.24 | (255) ~ (all_0_1_1 = e4)
% 20.26/5.24 | (510) ~ (all_0_17_17 = e4)
% 20.26/5.24 | (257) ~ (all_0_2_2 = e4)
% 20.26/5.24 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 20.26/5.24 | (303) ~ (all_0_11_11 = e4)
% 20.26/5.24 | (514) ~ (all_0_14_14 = e4)
% 20.26/5.24 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 20.26/5.24 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 20.26/5.24 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 20.26/5.24 |
% 20.26/5.24 | Equations (470) can reduce 514 to:
% 20.26/5.24 | (267) $false
% 20.26/5.24 |
% 20.26/5.24 |-The branch is then unsatisfiable
% 20.26/5.24 |-Branch two:
% 20.26/5.24 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 20.26/5.24 |
% 20.26/5.24 | Applying alpha-rule on (519) yields:
% 20.26/5.24 | (520) ~ (all_0_1_1 = e2)
% 20.26/5.24 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 20.26/5.24 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 20.26/5.24 | (226) ~ (all_0_11_11 = e2)
% 20.26/5.24 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 20.26/5.24 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 20.26/5.24 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 20.26/5.24 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 20.26/5.25 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 20.26/5.25 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 20.26/5.25 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 20.26/5.25 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 20.26/5.25 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 20.26/5.25 | (272) ~ (all_0_3_3 = e2)
% 20.26/5.25 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 20.26/5.25 | (274) ~ (all_0_19_19 = e2)
% 20.26/5.25 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 20.26/5.25 | (537) ~ (all_0_7_7 = e2)
% 20.26/5.25 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 20.26/5.25 | (224) ~ (all_0_9_9 = e2)
% 20.26/5.25 |
% 20.26/5.25 | Equations (540) can reduce 520 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 20.26/5.25 |
% 20.26/5.25 | Applying alpha-rule on (558) yields:
% 20.26/5.25 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 20.26/5.25 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 20.26/5.25 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 20.26/5.25 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 20.26/5.25 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 20.26/5.25 | (564) ~ (unit = e0)
% 20.26/5.25 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 20.26/5.25 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 20.26/5.25 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 20.26/5.25 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 20.26/5.25 | (355) ~ (all_0_9_9 = e0)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (180), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (437) all_0_6_6 = e2
% 20.26/5.25 |
% 20.26/5.25 | Equations (437) can reduce 155 to:
% 20.26/5.25 | (231) ~ (all_0_18_18 = e2)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 231 yields:
% 20.26/5.25 | (232) ~ (all_0_18_18 = e2)
% 20.26/5.25 |
% 20.26/5.25 | Equations (437) can reduce 400 to:
% 20.26/5.25 | (233) ~ (e4 = e2)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 233 yields:
% 20.26/5.25 | (205) ~ (e4 = e2)
% 20.26/5.25 |
% 20.26/5.25 | Equations (437) can reduce 408 to:
% 20.26/5.25 | (45) ~ (e2 = e0)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (1401), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (306) all_0_11_11 = e4
% 20.26/5.25 |
% 20.26/5.25 | Equations (306) can reduce 226 to:
% 20.26/5.25 | (205) ~ (e4 = e2)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (213), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (363) all_0_18_18 = e2
% 20.26/5.25 |
% 20.26/5.25 | Equations (363) can reduce 232 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (232) ~ (all_0_18_18 = e2)
% 20.26/5.25 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (100), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (284) all_0_16_16 = e2
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (609,284) yields a new equation:
% 20.26/5.25 | (353) e2 = e0
% 20.26/5.25 |
% 20.26/5.25 | Equations (353) can reduce 45 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (246) ~ (all_0_16_16 = e2)
% 20.26/5.25 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (129), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (427) all_0_4_4 = e4
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (1002,427) yields a new equation:
% 20.26/5.25 | (934) e4 = e1
% 20.26/5.25 |
% 20.26/5.25 | Equations (934) can reduce 217 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (261) ~ (all_0_4_4 = e4)
% 20.26/5.25 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 20.26/5.25 |
% 20.26/5.25 | Equations (1002) can reduce 261 to:
% 20.26/5.25 | (721) ~ (e4 = e1)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 721 yields:
% 20.26/5.25 | (217) ~ (e4 = e1)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (63), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (356) all_0_9_9 = e1
% 20.26/5.25 |
% 20.26/5.25 | Equations (356) can reduce 163 to:
% 20.26/5.25 | (719) ~ (all_0_17_17 = e1)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 719 yields:
% 20.26/5.25 | (720) ~ (all_0_17_17 = e1)
% 20.26/5.25 |
% 20.26/5.25 | Equations (356) can reduce 224 to:
% 20.26/5.25 | (1005) ~ (e2 = e1)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 1005 yields:
% 20.26/5.25 | (134) ~ (e2 = e1)
% 20.26/5.25 |
% 20.26/5.25 | Equations (356) can reduce 355 to:
% 20.26/5.25 | (131) ~ (e1 = e0)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (25), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (741) all_0_16_16 = e1
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (609,741) yields a new equation:
% 20.26/5.25 | (871) e1 = e0
% 20.26/5.25 |
% 20.26/5.25 | Equations (871) can reduce 131 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (911) ~ (all_0_16_16 = e1)
% 20.26/5.25 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (287), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (288) all_0_17_17 = e2
% 20.26/5.25 |
% 20.26/5.25 | Equations (288) can reduce 361 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (361) ~ (all_0_17_17 = e2)
% 20.26/5.25 | (362) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (912), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (913) all_0_17_17 = e1
% 20.26/5.25 |
% 20.26/5.25 | Equations (913) can reduce 720 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (720) ~ (all_0_17_17 = e1)
% 20.26/5.25 | (916) all_0_19_19 = e1
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (362), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (363) all_0_18_18 = e2
% 20.26/5.25 |
% 20.26/5.25 | Equations (363) can reduce 232 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (232) ~ (all_0_18_18 = e2)
% 20.26/5.25 | (366) all_0_19_19 = e2 | all_0_20_20 = e2
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (366), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (367) all_0_19_19 = e2
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (367,916) yields a new equation:
% 20.26/5.25 | (759) e2 = e1
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 759 yields:
% 20.26/5.25 | (760) e2 = e1
% 20.26/5.25 |
% 20.26/5.25 | Equations (760) can reduce 134 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (274) ~ (all_0_19_19 = e2)
% 20.26/5.25 | (337) all_0_20_20 = e2
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (337,341) yields a new equation:
% 20.26/5.25 | (297) e4 = e2
% 20.26/5.25 |
% 20.26/5.25 | Equations (297) can reduce 205 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (310) ~ (all_0_9_9 = e1)
% 20.26/5.25 | (309) all_0_11_11 = e1
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (306,309) yields a new equation:
% 20.26/5.25 | (1500) e4 = e1
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 1500 yields:
% 20.26/5.25 | (934) e4 = e1
% 20.26/5.25 |
% 20.26/5.25 | Equations (934) can reduce 217 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (303) ~ (all_0_11_11 = e4)
% 20.26/5.25 | (301) all_0_12_12 = e4
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (374,301) yields a new equation:
% 20.26/5.25 | (297) e4 = e2
% 20.26/5.25 |
% 20.26/5.25 | Equations (297) can reduce 205 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (223) ~ (all_0_6_6 = e2)
% 20.26/5.25 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (440), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (431) all_0_6_6 = e4
% 20.26/5.25 |
% 20.26/5.25 | Equations (431) can reduce 400 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (400) ~ (all_0_6_6 = e4)
% 20.26/5.25 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (444), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (411) all_0_6_6 = e0
% 20.26/5.25 |
% 20.26/5.25 | Equations (411) can reduce 408 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (408) ~ (all_0_6_6 = e0)
% 20.26/5.25 | (448) all_0_6_6 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (448) can reduce 426 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (514) ~ (all_0_14_14 = e4)
% 20.26/5.25 | (399) all_0_15_15 = e4
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (462,399) yields a new equation:
% 20.26/5.25 | (452) e4 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (452) can reduce 24 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (496) ~ (all_0_2_2 = e3)
% 20.26/5.25 | (672) all_0_3_3 = e3
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (672,334) yields a new equation:
% 20.26/5.25 | (1102) e3 = e0
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 1102 yields:
% 20.26/5.25 | (1103) e3 = e0
% 20.26/5.25 |
% 20.26/5.25 | Equations (1103) can reduce 61 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (520) ~ (all_0_1_1 = e2)
% 20.26/5.25 | (543) all_0_2_2 = e2 | all_0_3_3 = e2
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (60), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (540) all_0_1_1 = e2
% 20.26/5.25 |
% 20.26/5.25 | Equations (540) can reduce 520 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (520) ~ (all_0_1_1 = e2)
% 20.26/5.25 | (2007) all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e0
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (543), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (270) all_0_2_2 = e2
% 20.26/5.25 |
% 20.26/5.25 | Equations (270) can reduce 9 to:
% 20.26/5.25 | (2862) ~ (all_0_7_7 = e2)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 2862 yields:
% 20.26/5.25 | (537) ~ (all_0_7_7 = e2)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (2007), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (790) all_0_1_1 = e4
% 20.26/5.25 |
% 20.26/5.25 | Equations (790) can reduce 255 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (255) ~ (all_0_1_1 = e4)
% 20.26/5.25 | (2020) all_0_1_1 = e3 | all_0_1_1 = e0
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (2020), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (331) all_0_1_1 = e0
% 20.26/5.25 |
% 20.26/5.25 | Equations (331) can reduce 320 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (320) ~ (all_0_1_1 = e0)
% 20.26/5.25 | (804) all_0_1_1 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (804) can reduce 136 to:
% 20.26/5.25 | (1272) ~ (all_0_14_14 = e3)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 1272 yields:
% 20.26/5.25 | (464) ~ (all_0_14_14 = e3)
% 20.26/5.25 |
% 20.26/5.25 | Equations (804) can reduce 36 to:
% 20.26/5.25 | (2029) ~ (all_0_17_17 = e3)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 2029 yields:
% 20.26/5.25 | (1858) ~ (all_0_17_17 = e3)
% 20.26/5.25 |
% 20.26/5.25 | Equations (804) can reduce 255 to:
% 20.26/5.25 | (807) ~ (e4 = e3)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 807 yields:
% 20.26/5.25 | (24) ~ (e4 = e3)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (91), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (391) all_0_14_14 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (391) can reduce 464 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (464) ~ (all_0_14_14 = e3)
% 20.26/5.25 | (462) all_0_15_15 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (462) can reduce 59 to:
% 20.26/5.25 | (467) ~ (all_0_18_18 = e3)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 467 yields:
% 20.26/5.25 | (468) ~ (all_0_18_18 = e3)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (11), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (1125) all_0_7_7 = e2
% 20.26/5.25 |
% 20.26/5.25 | Equations (1125) can reduce 537 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (537) ~ (all_0_7_7 = e2)
% 20.26/5.25 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (147), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (431) all_0_6_6 = e4
% 20.26/5.25 |
% 20.26/5.25 | Equations (431) can reduce 23 to:
% 20.26/5.25 | (2218) ~ (all_0_7_7 = e4)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 2218 yields:
% 20.26/5.25 | (450) ~ (all_0_7_7 = e4)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (3353), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (435) all_0_7_7 = e4
% 20.26/5.25 |
% 20.26/5.25 | Equations (435) can reduce 450 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (450) ~ (all_0_7_7 = e4)
% 20.26/5.25 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (3357), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (713) all_0_7_7 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (713) can reduce 1269 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (1269) ~ (all_0_7_7 = e3)
% 20.26/5.25 | (1385) all_0_7_7 = e1
% 20.26/5.25 |
% 20.26/5.25 | Equations (1385) can reduce 1801 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (400) ~ (all_0_6_6 = e4)
% 20.26/5.25 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (143), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (842) all_0_17_17 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (842) can reduce 1858 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (1858) ~ (all_0_17_17 = e3)
% 20.26/5.25 | (2250) all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (2250), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (679) all_0_18_18 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (679) can reduce 468 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (468) ~ (all_0_18_18 = e3)
% 20.26/5.25 | (2255) all_0_19_19 = e3 | all_0_20_20 = e3
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (2255), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (1081) all_0_19_19 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (1081) can reduce 602 to:
% 20.26/5.25 | (807) ~ (e4 = e3)
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 807 yields:
% 20.26/5.25 | (24) ~ (e4 = e3)
% 20.26/5.25 |
% 20.26/5.25 +-Applying beta-rule and splitting (1397), into two cases.
% 20.26/5.25 |-Branch one:
% 20.26/5.25 | (399) all_0_15_15 = e4
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (462,399) yields a new equation:
% 20.26/5.25 | (452) e4 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (452) can reduce 24 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (461) ~ (all_0_15_15 = e4)
% 20.26/5.25 | (599) all_0_18_18 = e4
% 20.26/5.25 |
% 20.26/5.25 | Equations (599) can reduce 674 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (968) ~ (all_0_19_19 = e3)
% 20.26/5.25 | (348) all_0_20_20 = e3
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (341,348) yields a new equation:
% 20.26/5.25 | (620) e4 = e3
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 620 yields:
% 20.26/5.25 | (452) e4 = e3
% 20.26/5.25 |
% 20.26/5.25 | Equations (452) can reduce 24 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (379) ~ (all_0_2_2 = e2)
% 20.26/5.25 | (277) all_0_3_3 = e2
% 20.26/5.25 |
% 20.26/5.25 | Combining equations (277,334) yields a new equation:
% 20.26/5.25 | (352) e2 = e0
% 20.26/5.25 |
% 20.26/5.25 | Simplifying 352 yields:
% 20.26/5.25 | (353) e2 = e0
% 20.26/5.25 |
% 20.26/5.25 | Equations (353) can reduce 45 to:
% 20.26/5.25 | (267) $false
% 20.26/5.25 |
% 20.26/5.25 |-The branch is then unsatisfiable
% 20.26/5.25 |-Branch two:
% 20.26/5.25 | (581) ~ (all_0_3_3 = e0)
% 20.26/5.26 | (2565) all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (85), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (326) all_0_0_0 = e0
% 20.26/5.26 |
% 20.26/5.26 | Combining equations (326,253) yields a new equation:
% 20.26/5.26 | (327) e4 = e0
% 20.26/5.26 |
% 20.26/5.26 | Equations (327) can reduce 7 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (252) ~ (all_0_0_0 = e0)
% 20.26/5.26 | (330) all_0_1_1 = e0 | all_0_3_3 = e0
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (330), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (331) all_0_1_1 = e0
% 20.26/5.26 |
% 20.26/5.26 | Equations (331) can reduce 320 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (320) ~ (all_0_1_1 = e0)
% 20.26/5.26 | (334) all_0_3_3 = e0
% 20.26/5.26 |
% 20.26/5.26 | Equations (334) can reduce 581 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (742) ~ (all_0_4_4 = e1)
% 20.26/5.26 | (741) all_0_16_16 = e1
% 20.26/5.26 |
% 20.26/5.26 | Combining equations (609,741) yields a new equation:
% 20.26/5.26 | (871) e1 = e0
% 20.26/5.26 |
% 20.26/5.26 | Equations (871) can reduce 131 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (1168) ~ (all_0_0_0 = e4)
% 20.26/5.26 | (326) all_0_0_0 = e0
% 20.26/5.26 |
% 20.26/5.26 | Equations (326) can reduce 252 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (326) all_0_0_0 = e0
% 20.26/5.26 | (292) all_0_3_3 = e4
% 20.26/5.26 |
% 20.26/5.26 | Equations (326) can reduce 110 to:
% 20.26/5.26 | (1976) ~ (all_0_1_1 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 1976 yields:
% 20.26/5.26 | (320) ~ (all_0_1_1 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Equations (292) can reduce 215 to:
% 20.26/5.26 | (255) ~ (all_0_1_1 = e4)
% 20.26/5.26 |
% 20.26/5.26 | Equations (292) can reduce 208 to:
% 20.26/5.26 | (257) ~ (all_0_2_2 = e4)
% 20.26/5.26 |
% 20.26/5.26 | Equations (292) can reduce 8 to:
% 20.26/5.26 | (1986) ~ (all_0_8_8 = e4)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 1986 yields:
% 20.26/5.26 | (299) ~ (all_0_8_8 = e4)
% 20.26/5.26 |
% 20.26/5.26 | Equations (292) can reduce 212 to:
% 20.26/5.26 | (304) ~ (all_0_20_20 = e4)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 304 yields:
% 20.26/5.26 | (264) ~ (all_0_20_20 = e4)
% 20.26/5.26 |
% 20.26/5.26 | Equations (292) can reduce 272 to:
% 20.26/5.26 | (205) ~ (e4 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (292) can reduce 182 to:
% 20.26/5.26 | (217) ~ (e4 = e1)
% 20.26/5.26 |
% 20.26/5.26 | From (292) and (46) follows:
% 20.26/5.26 | (1176) op(e4, e0) = e4
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (196), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (395) all_0_15_15 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (395) can reduce 230 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (230) ~ (all_0_15_15 = e2)
% 20.26/5.26 | (398) all_0_15_15 = e4 | all_0_15_15 = e3
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (43), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (540) all_0_1_1 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (540) can reduce 118 to:
% 20.26/5.26 | (1240) ~ (all_0_5_5 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 1240 yields:
% 20.26/5.26 | (238) ~ (all_0_5_5 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (540) can reduce 136 to:
% 20.26/5.26 | (241) ~ (all_0_14_14 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 241 yields:
% 20.26/5.26 | (242) ~ (all_0_14_14 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (540) can reduce 36 to:
% 20.26/5.26 | (1597) ~ (all_0_17_17 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 1597 yields:
% 20.26/5.26 | (361) ~ (all_0_17_17 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (540) can reduce 255 to:
% 20.26/5.26 | (233) ~ (e4 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 233 yields:
% 20.26/5.26 | (205) ~ (e4 = e2)
% 20.26/5.26 |
% 20.26/5.26 | From (540) and (139) follows:
% 20.26/5.26 | (1244) op(e4, e3) = e2
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (122), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (804) all_0_1_1 = e3
% 20.26/5.26 |
% 20.26/5.26 | Combining equations (804,540) yields a new equation:
% 20.26/5.26 | (545) e3 = e2
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 545 yields:
% 20.26/5.26 | (483) e3 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (483) can reduce 191 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (829) ~ (all_0_1_1 = e3)
% 20.26/5.26 | (1647) all_0_2_2 = e3 | all_0_3_3 = e3
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (1647), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (384) all_0_2_2 = e3
% 20.26/5.26 |
% 20.26/5.26 | Equations (384) can reduce 9 to:
% 20.26/5.26 | (1268) ~ (all_0_7_7 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 1268 yields:
% 20.26/5.26 | (1269) ~ (all_0_7_7 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (384) can reduce 257 to:
% 20.26/5.26 | (807) ~ (e4 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 807 yields:
% 20.26/5.26 | (24) ~ (e4 = e3)
% 20.26/5.26 |
% 20.26/5.26 | From (384) and (189) follows:
% 20.26/5.26 | (1270) op(e4, e1) = e3
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (125), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (265) ~ (all_0_5_5 = e1)
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (78), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (325) ~ (all_0_20_20 = e3)
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (160), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (672) all_0_3_3 = e3
% 20.26/5.26 |
% 20.26/5.26 | Combining equations (292,672) yields a new equation:
% 20.26/5.26 | (620) e4 = e3
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 620 yields:
% 20.26/5.26 | (452) e4 = e3
% 20.26/5.26 |
% 20.26/5.26 | Equations (452) can reduce 24 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (386) ~ (all_0_3_3 = e3)
% 20.26/5.26 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (822), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (425) all_0_8_8 = e3
% 20.26/5.26 |
% 20.26/5.26 | Equations (425) can reduce 93 to:
% 20.26/5.26 | (28) ~ (all_0_4_4 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (425) can reduce 66 to:
% 20.26/5.26 | (392) ~ (all_0_5_5 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (425) can reduce 138 to:
% 20.26/5.26 | (426) ~ (all_0_6_6 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (425) can reduce 49 to:
% 20.26/5.26 | (1269) ~ (all_0_7_7 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (425) can reduce 193 to:
% 20.26/5.26 | (2504) ~ (all_0_20_20 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 2504 yields:
% 20.26/5.26 | (325) ~ (all_0_20_20 = e3)
% 20.26/5.26 |
% 20.26/5.26 | From (425) and (140) follows:
% 20.26/5.26 | (3077) op(e3, e0) = e3
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (158), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (337) all_0_20_20 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (337) can reduce 251 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (251) ~ (all_0_20_20 = e2)
% 20.26/5.26 | (340) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (340), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (341) all_0_20_20 = e4
% 20.26/5.26 |
% 20.26/5.26 | Equations (341) can reduce 264 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (264) ~ (all_0_20_20 = e4)
% 20.26/5.26 | (344) all_0_20_20 = e3 | all_0_20_20 = e0
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (344), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (345) all_0_20_20 = e0
% 20.26/5.26 |
% 20.26/5.26 | Equations (345) can reduce 115 to:
% 20.26/5.26 | (587) ~ (all_0_16_16 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Equations (345) can reduce 18 to:
% 20.26/5.26 | (570) ~ (all_0_18_18 = e0)
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (184), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (402) all_0_5_5 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (402) can reduce 238 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (238) ~ (all_0_5_5 = e2)
% 20.26/5.26 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (405), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (406) all_0_5_5 = e0
% 20.26/5.26 |
% 20.26/5.26 | Equations (406) can reduce 39 to:
% 20.26/5.26 | (882) ~ (all_0_4_4 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Equations (406) can reduce 3 to:
% 20.26/5.26 | (407) ~ (all_0_6_6 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 407 yields:
% 20.26/5.26 | (408) ~ (all_0_6_6 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Equations (406) can reduce 55 to:
% 20.26/5.26 | (2301) ~ (all_0_7_7 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 2301 yields:
% 20.26/5.26 | (4) ~ (all_0_7_7 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Equations (406) can reduce 119 to:
% 20.26/5.26 | (2067) ~ (all_0_17_17 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 2067 yields:
% 20.26/5.26 | (654) ~ (all_0_17_17 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Equations (406) can reduce 238 to:
% 20.26/5.26 | (323) ~ (e2 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 323 yields:
% 20.26/5.26 | (45) ~ (e2 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Equations (406) can reduce 265 to:
% 20.26/5.26 | (788) ~ (e1 = e0)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 788 yields:
% 20.26/5.26 | (131) ~ (e1 = e0)
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (167), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (266) all_0_11_11 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (266) can reduce 226 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (226) ~ (all_0_11_11 = e2)
% 20.26/5.26 | (269) all_0_11_11 = e4 | all_0_11_11 = e1
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (188), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (387) all_0_14_14 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (387) can reduce 242 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (242) ~ (all_0_14_14 = e2)
% 20.26/5.26 | (390) all_0_14_14 = e4 | all_0_14_14 = e3
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (91), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (391) all_0_14_14 = e3
% 20.26/5.26 |
% 20.26/5.26 | Equations (391) can reduce 210 to:
% 20.26/5.26 | (124) ~ (all_0_9_9 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (391) can reduce 38 to:
% 20.26/5.26 | (393) ~ (all_0_15_15 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 393 yields:
% 20.26/5.26 | (394) ~ (all_0_15_15 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (391) can reduce 242 to:
% 20.26/5.26 | (191) ~ (e3 = e2)
% 20.26/5.26 |
% 20.26/5.26 | From (391) and (117) follows:
% 20.26/5.26 | (1470) op(e1, e3) = e3
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (398), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (399) all_0_15_15 = e4
% 20.26/5.26 |
% 20.26/5.26 | Equations (399) can reduce 151 to:
% 20.26/5.26 | (400) ~ (all_0_6_6 = e4)
% 20.26/5.26 |
% 20.26/5.26 | Equations (399) can reduce 59 to:
% 20.26/5.26 | (4119) ~ (all_0_18_18 = e4)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 4119 yields:
% 20.26/5.26 | (674) ~ (all_0_18_18 = e4)
% 20.26/5.26 |
% 20.26/5.26 | Equations (399) can reduce 394 to:
% 20.26/5.26 | (24) ~ (e4 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (399) can reduce 230 to:
% 20.26/5.26 | (205) ~ (e4 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (399) can reduce 183 to:
% 20.26/5.26 | (217) ~ (e4 = e1)
% 20.26/5.26 |
% 20.26/5.26 | From (399) and (83) follows:
% 20.26/5.26 | (2480) op(e1, e2) = e4
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (180), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (437) all_0_6_6 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (437) can reduce 99 to:
% 20.26/5.26 | (240) ~ (all_0_4_4 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (437) can reduce 23 to:
% 20.26/5.26 | (2862) ~ (all_0_7_7 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 2862 yields:
% 20.26/5.26 | (537) ~ (all_0_7_7 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (437) can reduce 155 to:
% 20.26/5.26 | (231) ~ (all_0_18_18 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 231 yields:
% 20.26/5.26 | (232) ~ (all_0_18_18 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (437) can reduce 400 to:
% 20.26/5.26 | (233) ~ (e4 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 233 yields:
% 20.26/5.26 | (205) ~ (e4 = e2)
% 20.26/5.26 |
% 20.26/5.26 | From (437) and (89) follows:
% 20.26/5.26 | (1838) op(e3, e2) = e2
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (213), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (363) all_0_18_18 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (363) can reduce 232 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (232) ~ (all_0_18_18 = e2)
% 20.26/5.26 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (598), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (599) all_0_18_18 = e4
% 20.26/5.26 |
% 20.26/5.26 | Equations (599) can reduce 674 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (674) ~ (all_0_18_18 = e4)
% 20.26/5.26 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (675), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (420) all_0_18_18 = e0
% 20.26/5.26 |
% 20.26/5.26 | Equations (420) can reduce 570 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (570) ~ (all_0_18_18 = e0)
% 20.26/5.26 | (679) all_0_18_18 = e3
% 20.26/5.26 |
% 20.26/5.26 | Equations (679) can reduce 137 to:
% 20.26/5.26 | (1858) ~ (all_0_17_17 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (679) can reduce 154 to:
% 20.26/5.26 | (967) ~ (all_0_19_19 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 967 yields:
% 20.26/5.26 | (968) ~ (all_0_19_19 = e3)
% 20.26/5.26 |
% 20.26/5.26 | Equations (679) can reduce 232 to:
% 20.26/5.26 | (191) ~ (e3 = e2)
% 20.26/5.26 |
% 20.26/5.26 | From (679) and (142) follows:
% 20.26/5.26 | (2975) op(e0, e2) = e3
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (101), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (270) all_0_2_2 = e2
% 20.26/5.26 |
% 20.26/5.26 | Combining equations (270,384) yields a new equation:
% 20.26/5.26 | (483) e3 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (483) can reduce 191 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (379) ~ (all_0_2_2 = e2)
% 20.26/5.26 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (549), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (1125) all_0_7_7 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (1125) can reduce 537 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (537) ~ (all_0_7_7 = e2)
% 20.26/5.26 | (1252) all_0_11_11 = e2 | all_0_19_19 = e2
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (1252), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (266) all_0_11_11 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (266) can reduce 226 to:
% 20.26/5.26 | (267) $false
% 20.26/5.26 |
% 20.26/5.26 |-The branch is then unsatisfiable
% 20.26/5.26 |-Branch two:
% 20.26/5.26 | (226) ~ (all_0_11_11 = e2)
% 20.26/5.26 | (367) all_0_19_19 = e2
% 20.26/5.26 |
% 20.26/5.26 | Equations (367) can reduce 48 to:
% 20.26/5.26 | (537) ~ (all_0_7_7 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (367) can reduce 219 to:
% 20.26/5.26 | (226) ~ (all_0_11_11 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (367) can reduce 6 to:
% 20.26/5.26 | (361) ~ (all_0_17_17 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Equations (367) can reduce 968 to:
% 20.26/5.26 | (235) ~ (e3 = e2)
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 235 yields:
% 20.26/5.26 | (191) ~ (e3 = e2)
% 20.26/5.26 |
% 20.26/5.26 | From (367) and (209) follows:
% 20.26/5.26 | (1259) op(e0, e1) = e2
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (12), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (315) all_0_9_9 = e4
% 20.26/5.26 |
% 20.26/5.26 | Equations (315) can reduce 124 to:
% 20.26/5.26 | (24) ~ (e4 = e3)
% 20.26/5.26 |
% 20.26/5.26 | From (315) and (164) follows:
% 20.26/5.26 | (3019) op(e2, e3) = e4
% 20.26/5.26 |
% 20.26/5.26 +-Applying beta-rule and splitting (63), into two cases.
% 20.26/5.26 |-Branch one:
% 20.26/5.26 | (356) all_0_9_9 = e1
% 20.26/5.26 |
% 20.26/5.26 | Combining equations (315,356) yields a new equation:
% 20.26/5.26 | (1500) e4 = e1
% 20.26/5.26 |
% 20.26/5.26 | Simplifying 1500 yields:
% 20.26/5.26 | (934) e4 = e1
% 20.26/5.26 |
% 20.26/5.27 | Equations (934) can reduce 217 to:
% 20.26/5.27 | (267) $false
% 20.26/5.27 |
% 20.26/5.27 |-The branch is then unsatisfiable
% 20.26/5.27 |-Branch two:
% 20.26/5.27 | (310) ~ (all_0_9_9 = e1)
% 20.26/5.27 | (309) all_0_11_11 = e1
% 20.26/5.27 |
% 20.26/5.27 | Equations (309) can reduce 171 to:
% 20.26/5.27 | (1801) ~ (all_0_7_7 = e1)
% 20.26/5.27 |
% 20.26/5.27 | From (309) and (162) follows:
% 20.26/5.27 | (1816) op(e2, e1) = e1
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (157), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (288) all_0_17_17 = e2
% 20.26/5.27 |
% 20.26/5.27 | Equations (288) can reduce 361 to:
% 20.26/5.27 | (267) $false
% 20.26/5.27 |
% 20.26/5.27 |-The branch is then unsatisfiable
% 20.26/5.27 |-Branch two:
% 20.26/5.27 | (361) ~ (all_0_17_17 = e2)
% 20.26/5.27 | (1689) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (211), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (381) all_0_2_2 = e4
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (384,381) yields a new equation:
% 20.26/5.27 | (452) e4 = e3
% 20.26/5.27 |
% 20.26/5.27 | Equations (452) can reduce 24 to:
% 20.26/5.27 | (267) $false
% 20.26/5.27 |
% 20.26/5.27 |-The branch is then unsatisfiable
% 20.26/5.27 |-Branch two:
% 20.26/5.27 | (257) ~ (all_0_2_2 = e4)
% 20.26/5.27 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (175), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (1002) all_0_4_4 = e1
% 20.26/5.27 |
% 20.26/5.27 | Equations (1002) can reduce 74 to:
% 20.26/5.27 | (3900) ~ (all_0_7_7 = e1)
% 20.26/5.27 |
% 20.26/5.27 | Simplifying 3900 yields:
% 20.26/5.27 | (1801) ~ (all_0_7_7 = e1)
% 20.26/5.27 |
% 20.26/5.27 | Equations (1002) can reduce 882 to:
% 20.26/5.27 | (131) ~ (e1 = e0)
% 20.26/5.27 |
% 20.26/5.27 | From (1002) and (179) follows:
% 20.26/5.27 | (1612) op(e3, e4) = e1
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (11), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (1125) all_0_7_7 = e2
% 20.26/5.27 |
% 20.26/5.27 | Equations (1125) can reduce 537 to:
% 20.26/5.27 | (267) $false
% 20.26/5.27 |
% 20.26/5.27 |-The branch is then unsatisfiable
% 20.26/5.27 |-Branch two:
% 20.26/5.27 | (537) ~ (all_0_7_7 = e2)
% 20.26/5.27 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (126), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (459) all_0_5_5 = e1
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (406,459) yields a new equation:
% 20.26/5.27 | (871) e1 = e0
% 20.26/5.27 |
% 20.26/5.27 | Equations (871) can reduce 131 to:
% 20.26/5.27 | (267) $false
% 20.26/5.27 |
% 20.26/5.27 |-The branch is then unsatisfiable
% 20.26/5.27 |-Branch two:
% 20.26/5.27 | (265) ~ (all_0_5_5 = e1)
% 20.26/5.27 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (624), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (435) all_0_7_7 = e4
% 20.26/5.27 |
% 20.26/5.27 | Equations (435) can reduce 1801 to:
% 20.26/5.27 | (217) ~ (e4 = e1)
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (1035), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (356) all_0_9_9 = e1
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (315,356) yields a new equation:
% 20.26/5.27 | (1500) e4 = e1
% 20.26/5.27 |
% 20.26/5.27 | Simplifying 1500 yields:
% 20.26/5.27 | (934) e4 = e1
% 20.26/5.27 |
% 20.26/5.27 | Equations (934) can reduce 217 to:
% 20.26/5.27 | (267) $false
% 20.26/5.27 |
% 20.26/5.27 |-The branch is then unsatisfiable
% 20.26/5.27 |-Branch two:
% 20.26/5.27 | (310) ~ (all_0_9_9 = e1)
% 20.26/5.27 | (913) all_0_17_17 = e1
% 20.26/5.27 |
% 20.26/5.27 | Equations (913) can reduce 361 to:
% 20.26/5.27 | (1005) ~ (e2 = e1)
% 20.26/5.27 |
% 20.26/5.27 | Simplifying 1005 yields:
% 20.26/5.27 | (134) ~ (e2 = e1)
% 20.26/5.27 |
% 20.26/5.27 | Equations (913) can reduce 654 to:
% 20.26/5.27 | (131) ~ (e1 = e0)
% 20.26/5.27 |
% 20.26/5.27 | From (913) and (14) follows:
% 20.26/5.27 | (4211) op(e0, e3) = e1
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (54), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (1420) unit = e2
% 20.26/5.27 |
% 20.26/5.27 | From (1420) and (71) follows:
% 20.26/5.27 | (3044) op(e2, e3) = e3
% 20.26/5.27 |
% 20.26/5.27 | From (1420) and (112) follows:
% 20.26/5.27 | (2453) op(e3, e2) = e3
% 20.26/5.27 |
% 20.26/5.27 | From (1420) and (146) follows:
% 20.26/5.27 | (1422) op(e1, e2) = e1
% 20.26/5.27 |
% 20.26/5.27 | From (1420) and (220) follows:
% 20.26/5.27 | (1423) op(e0, e2) = e0
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 20.26/5.27 | (483) e3 = e2
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields:
% 20.26/5.27 | (452) e4 = e3
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields:
% 20.26/5.27 | (934) e4 = e1
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e0, e2, e0, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e0, yields:
% 20.26/5.27 | (1103) e3 = e0
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (452,934) yields a new equation:
% 20.26/5.27 | (832) e3 = e1
% 20.26/5.27 |
% 20.26/5.27 | Simplifying 832 yields:
% 20.26/5.27 | (833) e3 = e1
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (833,483) yields a new equation:
% 20.26/5.27 | (760) e2 = e1
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (1103,483) yields a new equation:
% 20.26/5.27 | (353) e2 = e0
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (760,353) yields a new equation:
% 20.26/5.27 | (1156) e1 = e0
% 20.26/5.27 |
% 20.26/5.27 | Simplifying 1156 yields:
% 20.26/5.27 | (871) e1 = e0
% 20.26/5.27 |
% 20.26/5.27 | Equations (871) can reduce 131 to:
% 20.26/5.27 | (267) $false
% 20.26/5.27 |
% 20.26/5.27 |-The branch is then unsatisfiable
% 20.26/5.27 |-Branch two:
% 20.26/5.27 | (1432) ~ (unit = e2)
% 20.26/5.27 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (1433), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (1434) unit = e4
% 20.26/5.27 |
% 20.26/5.27 | From (1434) and (112) follows:
% 20.26/5.27 | (1437) op(e3, e4) = e3
% 20.26/5.27 |
% 20.26/5.27 | From (1434) and (169) follows:
% 20.26/5.27 | (1438) op(e2, e4) = e2
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 20.26/5.27 | (833) e3 = e1
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.26/5.27 | (483) e3 = e2
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (483,833) yields a new equation:
% 20.26/5.27 | (759) e2 = e1
% 20.26/5.27 |
% 20.26/5.27 | Simplifying 759 yields:
% 20.26/5.27 | (760) e2 = e1
% 20.26/5.27 |
% 20.26/5.27 | Equations (760) can reduce 134 to:
% 20.26/5.27 | (267) $false
% 20.26/5.27 |
% 20.26/5.27 |-The branch is then unsatisfiable
% 20.26/5.27 |-Branch two:
% 20.26/5.27 | (1449) ~ (unit = e4)
% 20.26/5.27 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (1450), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (1451) unit = e0
% 20.26/5.27 |
% 20.26/5.27 | From (1451) and (71) follows:
% 20.26/5.27 | (4241) op(e0, e3) = e3
% 20.26/5.27 |
% 20.26/5.27 | From (1451) and (153) follows:
% 20.26/5.27 | (3075) op(e0, e2) = e2
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e0, e3, e3, e1 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e1, yields:
% 20.26/5.27 | (833) e3 = e1
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e0, e2, e2, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e2, yields:
% 20.26/5.27 | (483) e3 = e2
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (833,483) yields a new equation:
% 20.26/5.27 | (760) e2 = e1
% 20.26/5.27 |
% 20.26/5.27 | Equations (760) can reduce 134 to:
% 20.26/5.27 | (267) $false
% 20.26/5.27 |
% 20.26/5.27 |-The branch is then unsatisfiable
% 20.26/5.27 |-Branch two:
% 20.26/5.27 | (564) ~ (unit = e0)
% 20.26/5.27 | (1454) unit = e3 | unit = e1
% 20.26/5.27 |
% 20.26/5.27 +-Applying beta-rule and splitting (1454), into two cases.
% 20.26/5.27 |-Branch one:
% 20.26/5.27 | (1455) unit = e3
% 20.26/5.27 |
% 20.26/5.27 | From (1455) and (42) follows:
% 20.26/5.27 | (1456) op(e3, e0) = e0
% 20.26/5.27 |
% 20.26/5.27 | From (1455) and (146) follows:
% 20.26/5.27 | (1458) op(e1, e3) = e1
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 20.26/5.27 | (1103) e3 = e0
% 20.26/5.27 |
% 20.26/5.27 | Instantiating formula (178) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 20.26/5.27 | (833) e3 = e1
% 20.26/5.27 |
% 20.26/5.27 | Combining equations (1103,833) yields a new equation:
% 20.26/5.27 | (871) e1 = e0
% 20.26/5.27 |
% 20.26/5.27 | Equations (871) can reduce 131 to:
% 20.40/5.27 | (267) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (493) ~ (unit = e3)
% 20.40/5.27 | (1467) unit = e1
% 20.40/5.27 |
% 20.40/5.27 | Equations (1467) can reduce 564 to:
% 20.40/5.27 | (131) ~ (e1 = e0)
% 20.40/5.27 |
% 20.40/5.27 | From (1467) and (169) follows:
% 20.40/5.27 | (3099) op(e2, e1) = e2
% 20.40/5.27 |
% 20.40/5.27 | From (1467) and (220) follows:
% 20.40/5.27 | (1472) op(e0, e1) = e0
% 20.40/5.27 |
% 20.40/5.27 | Instantiating formula (178) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 20.40/5.27 | (760) e2 = e1
% 20.40/5.27 |
% 20.40/5.27 | Instantiating formula (178) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 20.40/5.27 | (353) e2 = e0
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (353,760) yields a new equation:
% 20.40/5.27 | (871) e1 = e0
% 20.40/5.27 |
% 20.40/5.27 | Equations (871) can reduce 131 to:
% 20.40/5.27 | (267) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (450) ~ (all_0_7_7 = e4)
% 20.40/5.27 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (3353), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (435) all_0_7_7 = e4
% 20.40/5.27 |
% 20.40/5.27 | Equations (435) can reduce 450 to:
% 20.40/5.27 | (267) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (450) ~ (all_0_7_7 = e4)
% 20.40/5.27 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (3357), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (713) all_0_7_7 = e3
% 20.40/5.27 |
% 20.40/5.27 | Equations (713) can reduce 1269 to:
% 20.40/5.27 | (267) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (1269) ~ (all_0_7_7 = e3)
% 20.40/5.27 | (1385) all_0_7_7 = e1
% 20.40/5.27 |
% 20.40/5.27 | Equations (1385) can reduce 1801 to:
% 20.40/5.27 | (267) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.27 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (76), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (1002) all_0_4_4 = e1
% 20.40/5.27 |
% 20.40/5.27 | Equations (1002) can reduce 742 to:
% 20.40/5.27 | (267) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.27 | (741) all_0_16_16 = e1
% 20.40/5.27 |
% 20.40/5.27 | Equations (741) can reduce 587 to:
% 20.40/5.27 | (131) ~ (e1 = e0)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (126), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (459) all_0_5_5 = e1
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (406,459) yields a new equation:
% 20.40/5.27 | (871) e1 = e0
% 20.40/5.27 |
% 20.40/5.27 | Equations (871) can reduce 131 to:
% 20.40/5.27 | (267) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (265) ~ (all_0_5_5 = e1)
% 20.40/5.27 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 20.40/5.27 |
% 20.40/5.27 | Equations (406) can reduce 265 to:
% 20.40/5.27 | (788) ~ (e1 = e0)
% 20.40/5.27 |
% 20.40/5.27 | Simplifying 788 yields:
% 20.40/5.27 | (131) ~ (e1 = e0)
% 20.40/5.27 |
% 20.40/5.27 +-Applying beta-rule and splitting (1292), into two cases.
% 20.40/5.27 |-Branch one:
% 20.40/5.27 | (459) all_0_5_5 = e1
% 20.40/5.27 |
% 20.40/5.27 | Combining equations (406,459) yields a new equation:
% 20.40/5.27 | (871) e1 = e0
% 20.40/5.27 |
% 20.40/5.27 | Equations (871) can reduce 131 to:
% 20.40/5.27 | (267) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (265) ~ (all_0_5_5 = e1)
% 20.40/5.27 | (1385) all_0_7_7 = e1
% 20.40/5.27 |
% 20.40/5.27 | Equations (1385) can reduce 1801 to:
% 20.40/5.27 | (267) $false
% 20.40/5.27 |
% 20.40/5.27 |-The branch is then unsatisfiable
% 20.40/5.27 |-Branch two:
% 20.40/5.27 | (302) ~ (all_0_9_9 = e4)
% 20.40/5.28 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (1401), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (306) all_0_11_11 = e4
% 20.40/5.28 |
% 20.40/5.28 | Equations (306) can reduce 197 to:
% 20.40/5.28 | (302) ~ (all_0_9_9 = e4)
% 20.40/5.28 |
% 20.40/5.28 | Equations (306) can reduce 226 to:
% 20.40/5.28 | (205) ~ (e4 = e2)
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (63), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (356) all_0_9_9 = e1
% 20.40/5.28 |
% 20.40/5.28 | Equations (356) can reduce 302 to:
% 20.40/5.28 | (721) ~ (e4 = e1)
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 721 yields:
% 20.40/5.28 | (217) ~ (e4 = e1)
% 20.40/5.28 |
% 20.40/5.28 | From (356) and (164) follows:
% 20.40/5.28 | (3367) op(e2, e3) = e1
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (50), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (790) all_0_1_1 = e4
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (790,540) yields a new equation:
% 20.40/5.28 | (847) e4 = e2
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 847 yields:
% 20.40/5.28 | (297) e4 = e2
% 20.40/5.28 |
% 20.40/5.28 | Equations (297) can reduce 205 to:
% 20.40/5.28 | (267) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (255) ~ (all_0_1_1 = e4)
% 20.40/5.28 | (793) all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (11), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (1125) all_0_7_7 = e2
% 20.40/5.28 |
% 20.40/5.28 | Equations (1125) can reduce 537 to:
% 20.40/5.28 | (267) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.28 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (129), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (427) all_0_4_4 = e4
% 20.40/5.28 |
% 20.40/5.28 | Equations (427) can reduce 74 to:
% 20.40/5.28 | (2218) ~ (all_0_7_7 = e4)
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 2218 yields:
% 20.40/5.28 | (450) ~ (all_0_7_7 = e4)
% 20.40/5.28 |
% 20.40/5.28 | From (427) and (179) follows:
% 20.40/5.28 | (1419) op(e3, e4) = e4
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (76), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (1002) all_0_4_4 = e1
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (427,1002) yields a new equation:
% 20.40/5.28 | (1500) e4 = e1
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 1500 yields:
% 20.40/5.28 | (934) e4 = e1
% 20.40/5.28 |
% 20.40/5.28 | Equations (934) can reduce 217 to:
% 20.40/5.28 | (267) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.28 | (741) all_0_16_16 = e1
% 20.40/5.28 |
% 20.40/5.28 | Equations (741) can reduce 107 to:
% 20.40/5.28 | (719) ~ (all_0_17_17 = e1)
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 719 yields:
% 20.40/5.28 | (720) ~ (all_0_17_17 = e1)
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (56), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (1385) all_0_7_7 = e1
% 20.40/5.28 |
% 20.40/5.28 | From (1385) and (144) follows:
% 20.40/5.28 | (1388) op(e3, e1) = e1
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (157), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (288) all_0_17_17 = e2
% 20.40/5.28 |
% 20.40/5.28 | Equations (288) can reduce 361 to:
% 20.40/5.28 | (267) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (361) ~ (all_0_17_17 = e2)
% 20.40/5.28 | (1689) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (1689), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (846) all_0_17_17 = e4
% 20.40/5.28 |
% 20.40/5.28 | Equations (846) can reduce 720 to:
% 20.40/5.28 | (217) ~ (e4 = e1)
% 20.40/5.28 |
% 20.40/5.28 | From (846) and (14) follows:
% 20.40/5.28 | (2270) op(e0, e3) = e4
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (75), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (472), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (473), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (474), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 20.40/5.28 |
% 20.40/5.28 | Applying alpha-rule on (475) yields:
% 20.40/5.28 | (270) all_0_2_2 = e2
% 20.40/5.28 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 20.40/5.28 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 20.40/5.28 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 20.40/5.28 | (310) ~ (all_0_9_9 = e1)
% 20.40/5.28 | (481) ~ (unit = e1)
% 20.40/5.28 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (384,270) yields a new equation:
% 20.40/5.28 | (545) e3 = e2
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 545 yields:
% 20.40/5.28 | (483) e3 = e2
% 20.40/5.28 |
% 20.40/5.28 | Equations (483) can reduce 191 to:
% 20.40/5.28 | (267) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 20.40/5.28 |
% 20.40/5.28 | Applying alpha-rule on (485) yields:
% 20.40/5.28 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 20.40/5.28 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 20.40/5.28 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 20.40/5.28 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 20.40/5.28 | (315) all_0_9_9 = e4
% 20.40/5.28 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 20.40/5.28 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 20.40/5.28 | (493) ~ (unit = e3)
% 20.40/5.28 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 20.40/5.28 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 20.40/5.28 | (496) ~ (all_0_2_2 = e3)
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (315,356) yields a new equation:
% 20.40/5.28 | (1500) e4 = e1
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 1500 yields:
% 20.40/5.28 | (934) e4 = e1
% 20.40/5.28 |
% 20.40/5.28 | Equations (934) can reduce 217 to:
% 20.40/5.28 | (267) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 20.40/5.28 |
% 20.40/5.28 | Applying alpha-rule on (498) yields:
% 20.40/5.28 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 20.40/5.28 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 20.40/5.28 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 20.40/5.28 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 20.40/5.28 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 20.40/5.28 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 20.40/5.28 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 20.40/5.28 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 20.40/5.28 | (358) ~ (all_0_12_12 = e4)
% 20.40/5.28 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 20.40/5.28 | (255) ~ (all_0_1_1 = e4)
% 20.40/5.28 | (510) ~ (all_0_17_17 = e4)
% 20.40/5.28 | (257) ~ (all_0_2_2 = e4)
% 20.40/5.28 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 20.40/5.28 | (303) ~ (all_0_11_11 = e4)
% 20.40/5.28 | (514) ~ (all_0_14_14 = e4)
% 20.40/5.28 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 20.40/5.28 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 20.40/5.28 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 20.40/5.28 |
% 20.40/5.28 | Equations (846) can reduce 510 to:
% 20.40/5.28 | (267) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 20.40/5.28 |
% 20.40/5.28 | Applying alpha-rule on (519) yields:
% 20.40/5.28 | (520) ~ (all_0_1_1 = e2)
% 20.40/5.28 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 20.40/5.28 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 20.40/5.28 | (226) ~ (all_0_11_11 = e2)
% 20.40/5.28 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 20.40/5.28 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 20.40/5.28 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 20.40/5.28 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 20.40/5.28 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 20.40/5.28 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 20.40/5.28 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 20.40/5.28 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 20.40/5.28 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 20.40/5.28 | (272) ~ (all_0_3_3 = e2)
% 20.40/5.28 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 20.40/5.28 | (274) ~ (all_0_19_19 = e2)
% 20.40/5.28 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 20.40/5.28 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.28 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 20.40/5.28 | (224) ~ (all_0_9_9 = e2)
% 20.40/5.28 |
% 20.40/5.28 | Equations (367) can reduce 274 to:
% 20.40/5.28 | (267) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 20.40/5.28 |
% 20.40/5.28 | Applying alpha-rule on (558) yields:
% 20.40/5.28 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 20.40/5.28 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 20.40/5.28 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 20.40/5.28 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 20.40/5.28 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 20.40/5.28 | (564) ~ (unit = e0)
% 20.40/5.28 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 20.40/5.28 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 20.40/5.28 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 20.40/5.28 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 20.40/5.28 | (355) ~ (all_0_9_9 = e0)
% 20.40/5.28 |
% 20.40/5.28 | Equations (356) can reduce 355 to:
% 20.40/5.28 | (131) ~ (e1 = e0)
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (54), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.28 | (1420) unit = e2
% 20.40/5.28 |
% 20.40/5.28 | From (1420) and (52) follows:
% 20.40/5.28 | (1421) op(e2, e4) = e4
% 20.40/5.28 |
% 20.40/5.28 | From (1420) and (146) follows:
% 20.40/5.28 | (1422) op(e1, e2) = e1
% 20.40/5.28 |
% 20.40/5.28 | From (1420) and (220) follows:
% 20.40/5.28 | (1423) op(e0, e2) = e0
% 20.40/5.28 |
% 20.40/5.28 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 20.40/5.28 | (452) e4 = e3
% 20.40/5.28 |
% 20.40/5.28 | Instantiating formula (178) with e1, e2, e1, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e1, yields:
% 20.40/5.28 | (934) e4 = e1
% 20.40/5.28 |
% 20.40/5.28 | Instantiating formula (178) with e0, e2, e0, e3 and discharging atoms op(e0, e2) = e3, op(e0, e2) = e0, yields:
% 20.40/5.28 | (1103) e3 = e0
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (452,934) yields a new equation:
% 20.40/5.28 | (832) e3 = e1
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 832 yields:
% 20.40/5.28 | (833) e3 = e1
% 20.40/5.28 |
% 20.40/5.28 | Combining equations (833,1103) yields a new equation:
% 20.40/5.28 | (1156) e1 = e0
% 20.40/5.28 |
% 20.40/5.28 | Simplifying 1156 yields:
% 20.40/5.28 | (871) e1 = e0
% 20.40/5.28 |
% 20.40/5.28 | Equations (871) can reduce 131 to:
% 20.40/5.28 | (267) $false
% 20.40/5.28 |
% 20.40/5.28 |-The branch is then unsatisfiable
% 20.40/5.28 |-Branch two:
% 20.40/5.28 | (1432) ~ (unit = e2)
% 20.40/5.28 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.40/5.28 |
% 20.40/5.28 +-Applying beta-rule and splitting (1433), into two cases.
% 20.40/5.28 |-Branch one:
% 20.40/5.29 | (1434) unit = e4
% 20.40/5.29 |
% 20.40/5.29 | From (1434) and (130) follows:
% 20.40/5.29 | (1435) op(e4, e1) = e1
% 20.40/5.29 |
% 20.40/5.29 | From (1434) and (42) follows:
% 20.40/5.29 | (1436) op(e4, e0) = e0
% 20.40/5.29 |
% 20.40/5.29 | From (1434) and (112) follows:
% 20.40/5.29 | (1437) op(e3, e4) = e3
% 20.40/5.29 |
% 20.40/5.29 | From (1434) and (169) follows:
% 20.40/5.29 | (1438) op(e2, e4) = e2
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields:
% 20.40/5.29 | (833) e3 = e1
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 20.40/5.29 | (327) e4 = e0
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 20.40/5.29 | (452) e4 = e3
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.40/5.29 | (483) e3 = e2
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (452,327) yields a new equation:
% 20.40/5.29 | (1102) e3 = e0
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 1102 yields:
% 20.40/5.29 | (1103) e3 = e0
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (1103,483) yields a new equation:
% 20.40/5.29 | (353) e2 = e0
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (833,483) yields a new equation:
% 20.40/5.29 | (760) e2 = e1
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (353,760) yields a new equation:
% 20.40/5.29 | (871) e1 = e0
% 20.40/5.29 |
% 20.40/5.29 | Equations (871) can reduce 131 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (1449) ~ (unit = e4)
% 20.40/5.29 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (1450), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (1451) unit = e0
% 20.40/5.29 |
% 20.40/5.29 | Equations (1451) can reduce 564 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (564) ~ (unit = e0)
% 20.40/5.29 | (1454) unit = e3 | unit = e1
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (1454), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (1455) unit = e3
% 20.40/5.29 |
% 20.40/5.29 | From (1455) and (199) follows:
% 20.40/5.29 | (1457) op(e4, e3) = e4
% 20.40/5.29 |
% 20.40/5.29 | From (1455) and (169) follows:
% 20.40/5.29 | (3089) op(e2, e3) = e2
% 20.40/5.29 |
% 20.40/5.29 | From (1455) and (220) follows:
% 20.40/5.29 | (2357) op(e0, e3) = e0
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 20.40/5.29 | (297) e4 = e2
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 20.40/5.29 | (760) e2 = e1
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields:
% 20.40/5.29 | (327) e4 = e0
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (297,327) yields a new equation:
% 20.40/5.29 | (352) e2 = e0
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 352 yields:
% 20.40/5.29 | (353) e2 = e0
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (760,353) yields a new equation:
% 20.40/5.29 | (1156) e1 = e0
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 1156 yields:
% 20.40/5.29 | (871) e1 = e0
% 20.40/5.29 |
% 20.40/5.29 | Equations (871) can reduce 131 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (493) ~ (unit = e3)
% 20.40/5.29 | (1467) unit = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (1467) can reduce 564 to:
% 20.40/5.29 | (131) ~ (e1 = e0)
% 20.40/5.29 |
% 20.40/5.29 | From (1467) and (153) follows:
% 20.40/5.29 | (3098) op(e1, e2) = e2
% 20.40/5.29 |
% 20.40/5.29 | From (1467) and (199) follows:
% 20.40/5.29 | (5360) op(e4, e1) = e4
% 20.40/5.29 |
% 20.40/5.29 | From (1467) and (112) follows:
% 20.40/5.29 | (1471) op(e3, e1) = e3
% 20.40/5.29 |
% 20.40/5.29 | From (1467) and (220) follows:
% 20.40/5.29 | (1472) op(e0, e1) = e0
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields:
% 20.40/5.29 | (452) e4 = e3
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 20.40/5.29 | (833) e3 = e1
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields:
% 20.40/5.29 | (297) e4 = e2
% 20.40/5.29 |
% 20.40/5.29 | Instantiating formula (178) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 20.40/5.29 | (353) e2 = e0
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (297,452) yields a new equation:
% 20.40/5.29 | (483) e3 = e2
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (483,833) yields a new equation:
% 20.40/5.29 | (759) e2 = e1
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 759 yields:
% 20.40/5.29 | (760) e2 = e1
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (760,353) yields a new equation:
% 20.40/5.29 | (1156) e1 = e0
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 1156 yields:
% 20.40/5.29 | (871) e1 = e0
% 20.40/5.29 |
% 20.40/5.29 | Equations (871) can reduce 131 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (510) ~ (all_0_17_17 = e4)
% 20.40/5.29 | (1696) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (1696), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (351) all_0_17_17 = e0
% 20.40/5.29 |
% 20.40/5.29 | Equations (351) can reduce 654 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (654) ~ (all_0_17_17 = e0)
% 20.40/5.29 | (1700) all_0_17_17 = e3 | all_0_17_17 = e1
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (1700), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (842) all_0_17_17 = e3
% 20.40/5.29 |
% 20.40/5.29 | Equations (842) can reduce 1858 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (1858) ~ (all_0_17_17 = e3)
% 20.40/5.29 | (913) all_0_17_17 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (913) can reduce 720 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (1801) ~ (all_0_7_7 = e1)
% 20.40/5.29 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (3353), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (435) all_0_7_7 = e4
% 20.40/5.29 |
% 20.40/5.29 | Equations (435) can reduce 450 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (450) ~ (all_0_7_7 = e4)
% 20.40/5.29 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (3357), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (713) all_0_7_7 = e3
% 20.40/5.29 |
% 20.40/5.29 | Equations (713) can reduce 1269 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (1269) ~ (all_0_7_7 = e3)
% 20.40/5.29 | (1385) all_0_7_7 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (1385) can reduce 1801 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (261) ~ (all_0_4_4 = e4)
% 20.40/5.29 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (25), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (741) all_0_16_16 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (741) can reduce 204 to:
% 20.40/5.29 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (62), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (1059) all_0_4_4 = e2
% 20.40/5.29 |
% 20.40/5.29 | Equations (1059) can reduce 240 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (240) ~ (all_0_4_4 = e2)
% 20.40/5.29 | (5402) all_0_4_4 = e4 | all_0_4_4 = e1 | all_0_4_4 = e0
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (175), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (1002) all_0_4_4 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (1002) can reduce 742 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.29 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (5402), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (427) all_0_4_4 = e4
% 20.40/5.29 |
% 20.40/5.29 | Equations (427) can reduce 261 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (261) ~ (all_0_4_4 = e4)
% 20.40/5.29 | (5410) all_0_4_4 = e1 | all_0_4_4 = e0
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (5410), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (785) all_0_4_4 = e0
% 20.40/5.29 |
% 20.40/5.29 | Equations (785) can reduce 882 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (882) ~ (all_0_4_4 = e0)
% 20.40/5.29 | (1002) all_0_4_4 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (1002) can reduce 742 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (911) ~ (all_0_16_16 = e1)
% 20.40/5.29 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (76), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (1002) all_0_4_4 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (1002) can reduce 74 to:
% 20.40/5.29 | (3900) ~ (all_0_7_7 = e1)
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 3900 yields:
% 20.40/5.29 | (1801) ~ (all_0_7_7 = e1)
% 20.40/5.29 |
% 20.40/5.29 | Equations (1002) can reduce 261 to:
% 20.40/5.29 | (721) ~ (e4 = e1)
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 721 yields:
% 20.40/5.29 | (217) ~ (e4 = e1)
% 20.40/5.29 |
% 20.40/5.29 | Equations (1002) can reduce 240 to:
% 20.40/5.29 | (1005) ~ (e2 = e1)
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 1005 yields:
% 20.40/5.29 | (134) ~ (e2 = e1)
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (56), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (1385) all_0_7_7 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (1385) can reduce 1801 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (1801) ~ (all_0_7_7 = e1)
% 20.40/5.29 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (793), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (315) all_0_9_9 = e4
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (356,315) yields a new equation:
% 20.40/5.29 | (934) e4 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (934) can reduce 217 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (302) ~ (all_0_9_9 = e4)
% 20.40/5.29 | (801) all_0_14_14 = e4 | all_0_17_17 = e4
% 20.40/5.29 |
% 20.40/5.29 | Equations (356) can reduce 302 to:
% 20.40/5.29 | (721) ~ (e4 = e1)
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 721 yields:
% 20.40/5.29 | (217) ~ (e4 = e1)
% 20.40/5.29 |
% 20.40/5.29 +-Applying beta-rule and splitting (1802), into two cases.
% 20.40/5.29 |-Branch one:
% 20.40/5.29 | (309) all_0_11_11 = e1
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (306,309) yields a new equation:
% 20.40/5.29 | (1500) e4 = e1
% 20.40/5.29 |
% 20.40/5.29 | Simplifying 1500 yields:
% 20.40/5.29 | (934) e4 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (934) can reduce 217 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.29 |-Branch two:
% 20.40/5.29 | (1387) ~ (all_0_11_11 = e1)
% 20.40/5.29 | (916) all_0_19_19 = e1
% 20.40/5.29 |
% 20.40/5.29 | Combining equations (916,367) yields a new equation:
% 20.40/5.29 | (760) e2 = e1
% 20.40/5.29 |
% 20.40/5.29 | Equations (760) can reduce 134 to:
% 20.40/5.29 | (267) $false
% 20.40/5.29 |
% 20.40/5.29 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.30 | (741) all_0_16_16 = e1
% 20.40/5.30 |
% 20.40/5.30 | Equations (741) can reduce 911 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (310) ~ (all_0_9_9 = e1)
% 20.40/5.30 | (309) all_0_11_11 = e1
% 20.40/5.30 |
% 20.40/5.30 | Combining equations (306,309) yields a new equation:
% 20.40/5.30 | (1500) e4 = e1
% 20.40/5.30 |
% 20.40/5.30 | Simplifying 1500 yields:
% 20.40/5.30 | (934) e4 = e1
% 20.40/5.30 |
% 20.40/5.30 | Equations (934) can reduce 217 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (303) ~ (all_0_11_11 = e4)
% 20.40/5.30 | (301) all_0_12_12 = e4
% 20.40/5.30 |
% 20.40/5.30 | Combining equations (374,301) yields a new equation:
% 20.40/5.30 | (297) e4 = e2
% 20.40/5.30 |
% 20.40/5.30 | Equations (297) can reduce 205 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (223) ~ (all_0_6_6 = e2)
% 20.40/5.30 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (95), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (448) all_0_6_6 = e3
% 20.40/5.30 |
% 20.40/5.30 | Equations (448) can reduce 426 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (426) ~ (all_0_6_6 = e3)
% 20.40/5.30 | (1681) all_0_15_15 = e3 | all_0_18_18 = e3
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (80), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (437) all_0_6_6 = e2
% 20.40/5.30 |
% 20.40/5.30 | Equations (437) can reduce 223 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (223) ~ (all_0_6_6 = e2)
% 20.40/5.30 | (4338) all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (4338), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (222) all_0_10_10 = e2
% 20.40/5.30 |
% 20.40/5.30 | Combining equations (415,222) yields a new equation:
% 20.40/5.30 | (353) e2 = e0
% 20.40/5.30 |
% 20.40/5.30 | Equations (353) can reduce 45 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (2778) ~ (all_0_10_10 = e2)
% 20.40/5.30 | (5470) all_0_15_15 = e2 | all_0_18_18 = e2
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (1681), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (462) all_0_15_15 = e3
% 20.40/5.30 |
% 20.40/5.30 | Combining equations (462,399) yields a new equation:
% 20.40/5.30 | (452) e4 = e3
% 20.40/5.30 |
% 20.40/5.30 | Equations (452) can reduce 24 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (394) ~ (all_0_15_15 = e3)
% 20.40/5.30 | (679) all_0_18_18 = e3
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (5470), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (395) all_0_15_15 = e2
% 20.40/5.30 |
% 20.40/5.30 | Combining equations (399,395) yields a new equation:
% 20.40/5.30 | (847) e4 = e2
% 20.40/5.30 |
% 20.40/5.30 | Simplifying 847 yields:
% 20.40/5.30 | (297) e4 = e2
% 20.40/5.30 |
% 20.40/5.30 | Equations (297) can reduce 205 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (230) ~ (all_0_15_15 = e2)
% 20.40/5.30 | (363) all_0_18_18 = e2
% 20.40/5.30 |
% 20.40/5.30 | Combining equations (679,363) yields a new equation:
% 20.40/5.30 | (545) e3 = e2
% 20.40/5.30 |
% 20.40/5.30 | Simplifying 545 yields:
% 20.40/5.30 | (483) e3 = e2
% 20.40/5.30 |
% 20.40/5.30 | Equations (483) can reduce 191 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (461) ~ (all_0_15_15 = e4)
% 20.40/5.30 | (462) all_0_15_15 = e3
% 20.40/5.30 |
% 20.40/5.30 | Equations (462) can reduce 394 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (464) ~ (all_0_14_14 = e3)
% 20.40/5.30 | (462) all_0_15_15 = e3
% 20.40/5.30 |
% 20.40/5.30 | Equations (462) can reduce 151 to:
% 20.40/5.30 | (426) ~ (all_0_6_6 = e3)
% 20.40/5.30 |
% 20.40/5.30 | Equations (462) can reduce 38 to:
% 20.40/5.30 | (464) ~ (all_0_14_14 = e3)
% 20.40/5.30 |
% 20.40/5.30 | Equations (462) can reduce 230 to:
% 20.40/5.30 | (191) ~ (e3 = e2)
% 20.40/5.30 |
% 20.40/5.30 | Equations (462) can reduce 183 to:
% 20.40/5.30 | (133) ~ (e3 = e1)
% 20.40/5.30 |
% 20.40/5.30 | From (462) and (83) follows:
% 20.40/5.30 | (1284) op(e1, e2) = e3
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (390), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (470) all_0_14_14 = e4
% 20.40/5.30 |
% 20.40/5.30 | Equations (470) can reduce 210 to:
% 20.40/5.30 | (302) ~ (all_0_9_9 = e4)
% 20.40/5.30 |
% 20.40/5.30 | Equations (470) can reduce 104 to:
% 20.40/5.30 | (1630) ~ (all_0_17_17 = e4)
% 20.40/5.30 |
% 20.40/5.30 | Simplifying 1630 yields:
% 20.40/5.30 | (510) ~ (all_0_17_17 = e4)
% 20.40/5.30 |
% 20.40/5.30 | Equations (470) can reduce 242 to:
% 20.40/5.30 | (205) ~ (e4 = e2)
% 20.40/5.30 |
% 20.40/5.30 | From (470) and (117) follows:
% 20.40/5.30 | (1297) op(e1, e3) = e4
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (12), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (315) all_0_9_9 = e4
% 20.40/5.30 |
% 20.40/5.30 | Equations (315) can reduce 302 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (302) ~ (all_0_9_9 = e4)
% 20.40/5.30 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (75), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (472), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (473), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (474), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 20.40/5.30 |
% 20.40/5.30 | Applying alpha-rule on (475) yields:
% 20.40/5.30 | (270) all_0_2_2 = e2
% 20.40/5.30 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 20.40/5.30 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 20.40/5.30 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 20.40/5.30 | (310) ~ (all_0_9_9 = e1)
% 20.40/5.30 | (481) ~ (unit = e1)
% 20.40/5.30 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 20.40/5.30 |
% 20.40/5.30 | Combining equations (270,384) yields a new equation:
% 20.40/5.30 | (483) e3 = e2
% 20.40/5.30 |
% 20.40/5.30 | Equations (483) can reduce 191 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 20.40/5.30 |
% 20.40/5.30 | Applying alpha-rule on (485) yields:
% 20.40/5.30 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 20.40/5.30 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 20.40/5.30 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 20.40/5.30 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 20.40/5.30 | (315) all_0_9_9 = e4
% 20.40/5.30 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 20.40/5.30 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 20.40/5.30 | (493) ~ (unit = e3)
% 20.40/5.30 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 20.40/5.30 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 20.40/5.30 | (496) ~ (all_0_2_2 = e3)
% 20.40/5.30 |
% 20.40/5.30 | Equations (315) can reduce 302 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 20.40/5.30 |
% 20.40/5.30 | Applying alpha-rule on (498) yields:
% 20.40/5.30 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 20.40/5.30 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 20.40/5.30 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 20.40/5.30 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 20.40/5.30 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 20.40/5.30 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 20.40/5.30 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 20.40/5.30 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 20.40/5.30 | (358) ~ (all_0_12_12 = e4)
% 20.40/5.30 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 20.40/5.30 | (255) ~ (all_0_1_1 = e4)
% 20.40/5.30 | (510) ~ (all_0_17_17 = e4)
% 20.40/5.30 | (257) ~ (all_0_2_2 = e4)
% 20.40/5.30 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 20.40/5.30 | (303) ~ (all_0_11_11 = e4)
% 20.40/5.30 | (514) ~ (all_0_14_14 = e4)
% 20.40/5.30 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 20.40/5.30 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 20.40/5.30 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 20.40/5.30 |
% 20.40/5.30 | Equations (470) can reduce 514 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 20.40/5.30 |
% 20.40/5.30 | Applying alpha-rule on (519) yields:
% 20.40/5.30 | (520) ~ (all_0_1_1 = e2)
% 20.40/5.30 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 20.40/5.30 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 20.40/5.30 | (226) ~ (all_0_11_11 = e2)
% 20.40/5.30 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 20.40/5.30 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 20.40/5.30 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 20.40/5.30 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 20.40/5.30 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 20.40/5.30 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 20.40/5.30 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 20.40/5.30 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 20.40/5.30 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 20.40/5.30 | (272) ~ (all_0_3_3 = e2)
% 20.40/5.30 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 20.40/5.30 | (274) ~ (all_0_19_19 = e2)
% 20.40/5.30 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 20.40/5.30 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.30 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 20.40/5.30 | (224) ~ (all_0_9_9 = e2)
% 20.40/5.30 |
% 20.40/5.30 | Equations (540) can reduce 520 to:
% 20.40/5.30 | (267) $false
% 20.40/5.30 |
% 20.40/5.30 |-The branch is then unsatisfiable
% 20.40/5.30 |-Branch two:
% 20.40/5.30 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 20.40/5.30 |
% 20.40/5.30 | Applying alpha-rule on (558) yields:
% 20.40/5.30 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 20.40/5.30 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 20.40/5.30 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 20.40/5.30 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 20.40/5.30 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 20.40/5.30 | (564) ~ (unit = e0)
% 20.40/5.30 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 20.40/5.30 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 20.40/5.30 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 20.40/5.30 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 20.40/5.30 | (355) ~ (all_0_9_9 = e0)
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (1401), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (306) all_0_11_11 = e4
% 20.40/5.30 |
% 20.40/5.30 | Equations (306) can reduce 171 to:
% 20.40/5.30 | (450) ~ (all_0_7_7 = e4)
% 20.40/5.30 |
% 20.40/5.30 | Equations (306) can reduce 197 to:
% 20.40/5.30 | (302) ~ (all_0_9_9 = e4)
% 20.40/5.30 |
% 20.40/5.30 | Equations (306) can reduce 219 to:
% 20.40/5.30 | (601) ~ (all_0_19_19 = e4)
% 20.40/5.30 |
% 20.40/5.30 | Simplifying 601 yields:
% 20.40/5.30 | (602) ~ (all_0_19_19 = e4)
% 20.40/5.30 |
% 20.40/5.30 | Equations (306) can reduce 226 to:
% 20.40/5.30 | (205) ~ (e4 = e2)
% 20.40/5.30 |
% 20.40/5.30 | Equations (306) can reduce 81 to:
% 20.40/5.30 | (7) ~ (e4 = e0)
% 20.40/5.30 |
% 20.40/5.30 +-Applying beta-rule and splitting (143), into two cases.
% 20.40/5.30 |-Branch one:
% 20.40/5.30 | (842) all_0_17_17 = e3
% 20.40/5.30 |
% 20.40/5.30 | Equations (842) can reduce 137 to:
% 20.40/5.30 | (467) ~ (all_0_18_18 = e3)
% 20.40/5.30 |
% 20.40/5.30 | Simplifying 467 yields:
% 20.40/5.30 | (468) ~ (all_0_18_18 = e3)
% 20.40/5.31 |
% 20.40/5.31 | Equations (842) can reduce 6 to:
% 20.40/5.31 | (967) ~ (all_0_19_19 = e3)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 967 yields:
% 20.40/5.31 | (968) ~ (all_0_19_19 = e3)
% 20.40/5.31 |
% 20.40/5.31 | Equations (842) can reduce 361 to:
% 20.40/5.31 | (191) ~ (e3 = e2)
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (126), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (459) all_0_5_5 = e1
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (459,406) yields a new equation:
% 20.40/5.31 | (1156) e1 = e0
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 1156 yields:
% 20.40/5.31 | (871) e1 = e0
% 20.40/5.31 |
% 20.40/5.31 | Equations (871) can reduce 131 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (265) ~ (all_0_5_5 = e1)
% 20.40/5.31 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (1035), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (356) all_0_9_9 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (356) can reduce 302 to:
% 20.40/5.31 | (721) ~ (e4 = e1)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 721 yields:
% 20.40/5.31 | (217) ~ (e4 = e1)
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (147), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (431) all_0_6_6 = e4
% 20.40/5.31 |
% 20.40/5.31 | Equations (431) can reduce 99 to:
% 20.40/5.31 | (261) ~ (all_0_4_4 = e4)
% 20.40/5.31 |
% 20.40/5.31 | Equations (431) can reduce 23 to:
% 20.40/5.31 | (2218) ~ (all_0_7_7 = e4)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 2218 yields:
% 20.40/5.31 | (450) ~ (all_0_7_7 = e4)
% 20.40/5.31 |
% 20.40/5.31 | Equations (431) can reduce 34 to:
% 20.40/5.31 | (217) ~ (e4 = e1)
% 20.40/5.31 |
% 20.40/5.31 | Equations (431) can reduce 408 to:
% 20.40/5.31 | (7) ~ (e4 = e0)
% 20.40/5.31 |
% 20.40/5.31 | From (431) and (89) follows:
% 20.40/5.31 | (1692) op(e3, e2) = e4
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (159), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1629) all_0_16_16 = e4
% 20.40/5.31 |
% 20.40/5.31 | Equations (1629) can reduce 204 to:
% 20.40/5.31 | (261) ~ (all_0_4_4 = e4)
% 20.40/5.31 |
% 20.40/5.31 | Equations (1629) can reduce 161 to:
% 20.40/5.31 | (4119) ~ (all_0_18_18 = e4)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 4119 yields:
% 20.40/5.31 | (674) ~ (all_0_18_18 = e4)
% 20.40/5.31 |
% 20.40/5.31 | Equations (1629) can reduce 246 to:
% 20.40/5.31 | (205) ~ (e4 = e2)
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (213), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (363) all_0_18_18 = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (363) can reduce 154 to:
% 20.40/5.31 | (273) ~ (all_0_19_19 = e2)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 273 yields:
% 20.40/5.31 | (274) ~ (all_0_19_19 = e2)
% 20.40/5.31 |
% 20.40/5.31 | Equations (363) can reduce 674 to:
% 20.40/5.31 | (233) ~ (e4 = e2)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 233 yields:
% 20.40/5.31 | (205) ~ (e4 = e2)
% 20.40/5.31 |
% 20.40/5.31 | Equations (363) can reduce 468 to:
% 20.40/5.31 | (235) ~ (e3 = e2)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 235 yields:
% 20.40/5.31 | (191) ~ (e3 = e2)
% 20.40/5.31 |
% 20.40/5.31 | From (363) and (142) follows:
% 20.40/5.31 | (3075) op(e0, e2) = e2
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (73), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (367) all_0_19_19 = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (367) can reduce 274 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (274) ~ (all_0_19_19 = e2)
% 20.40/5.31 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (76), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1002) all_0_4_4 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (1002) can reduce 261 to:
% 20.40/5.31 | (721) ~ (e4 = e1)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 721 yields:
% 20.40/5.31 | (217) ~ (e4 = e1)
% 20.40/5.31 |
% 20.40/5.31 | Equations (1002) can reduce 28 to:
% 20.40/5.31 | (743) ~ (e3 = e1)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 743 yields:
% 20.40/5.31 | (133) ~ (e3 = e1)
% 20.40/5.31 |
% 20.40/5.31 | From (1002) and (179) follows:
% 20.40/5.31 | (1612) op(e3, e4) = e1
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (101), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (270) all_0_2_2 = e2
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (270,384) yields a new equation:
% 20.40/5.31 | (483) e3 = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (483) can reduce 191 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (379) ~ (all_0_2_2 = e2)
% 20.40/5.31 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (25), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (741) all_0_16_16 = e1
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (1629,741) yields a new equation:
% 20.40/5.31 | (1500) e4 = e1
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 1500 yields:
% 20.40/5.31 | (934) e4 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (934) can reduce 217 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (911) ~ (all_0_16_16 = e1)
% 20.40/5.31 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (11), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1125) all_0_7_7 = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (1125) can reduce 48 to:
% 20.40/5.31 | (273) ~ (all_0_19_19 = e2)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 273 yields:
% 20.40/5.31 | (274) ~ (all_0_19_19 = e2)
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (912), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (913) all_0_17_17 = e1
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (913,842) yields a new equation:
% 20.40/5.31 | (833) e3 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (833) can reduce 133 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (720) ~ (all_0_17_17 = e1)
% 20.40/5.31 | (916) all_0_19_19 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (916) can reduce 274 to:
% 20.40/5.31 | (1005) ~ (e2 = e1)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 1005 yields:
% 20.40/5.31 | (134) ~ (e2 = e1)
% 20.40/5.31 |
% 20.40/5.31 | From (916) and (209) follows:
% 20.40/5.31 | (1813) op(e0, e1) = e1
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (54), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1420) unit = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (1420) can reduce 564 to:
% 20.40/5.31 | (45) ~ (e2 = e0)
% 20.40/5.31 |
% 20.40/5.31 | From (1420) and (220) follows:
% 20.40/5.31 | (1423) op(e0, e2) = e0
% 20.40/5.31 |
% 20.40/5.31 | Instantiating formula (178) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 20.40/5.31 | (353) e2 = e0
% 20.40/5.31 |
% 20.40/5.31 | Equations (353) can reduce 45 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (1432) ~ (unit = e2)
% 20.40/5.31 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (1433), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1434) unit = e4
% 20.40/5.31 |
% 20.40/5.31 | From (1434) and (112) follows:
% 20.40/5.31 | (1437) op(e3, e4) = e3
% 20.40/5.31 |
% 20.40/5.31 | From (1434) and (169) follows:
% 20.40/5.31 | (1438) op(e2, e4) = e2
% 20.40/5.31 |
% 20.40/5.31 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 20.40/5.31 | (833) e3 = e1
% 20.40/5.31 |
% 20.40/5.31 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.40/5.31 | (483) e3 = e2
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (483,833) yields a new equation:
% 20.40/5.31 | (759) e2 = e1
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 759 yields:
% 20.40/5.31 | (760) e2 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (760) can reduce 134 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (1449) ~ (unit = e4)
% 20.40/5.31 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (1450), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1451) unit = e0
% 20.40/5.31 |
% 20.40/5.31 | Equations (1451) can reduce 564 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (564) ~ (unit = e0)
% 20.40/5.31 | (1454) unit = e3 | unit = e1
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (1454), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1455) unit = e3
% 20.40/5.31 |
% 20.40/5.31 | From (1455) and (153) follows:
% 20.40/5.31 | (1838) op(e3, e2) = e2
% 20.40/5.31 |
% 20.40/5.31 | From (1455) and (146) follows:
% 20.40/5.31 | (1458) op(e1, e3) = e1
% 20.40/5.31 |
% 20.40/5.31 | Instantiating formula (178) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 20.40/5.31 | (297) e4 = e2
% 20.40/5.31 |
% 20.40/5.31 | Instantiating formula (178) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 20.40/5.31 | (934) e4 = e1
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (297,934) yields a new equation:
% 20.40/5.31 | (759) e2 = e1
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 759 yields:
% 20.40/5.31 | (760) e2 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (760) can reduce 134 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (493) ~ (unit = e3)
% 20.40/5.31 | (1467) unit = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (1467) can reduce 564 to:
% 20.40/5.31 | (131) ~ (e1 = e0)
% 20.40/5.31 |
% 20.40/5.31 | From (1467) and (220) follows:
% 20.40/5.31 | (1472) op(e0, e1) = e0
% 20.40/5.31 |
% 20.40/5.31 | Instantiating formula (178) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 20.40/5.31 | (871) e1 = e0
% 20.40/5.31 |
% 20.40/5.31 | Equations (871) can reduce 131 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.31 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (912), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (913) all_0_17_17 = e1
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (842,913) yields a new equation:
% 20.40/5.31 | (832) e3 = e1
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 832 yields:
% 20.40/5.31 | (833) e3 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (833) can reduce 133 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (720) ~ (all_0_17_17 = e1)
% 20.40/5.31 | (916) all_0_19_19 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (916) can reduce 274 to:
% 20.40/5.31 | (1005) ~ (e2 = e1)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 1005 yields:
% 20.40/5.31 | (134) ~ (e2 = e1)
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (218), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1059) all_0_4_4 = e2
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (1002,1059) yields a new equation:
% 20.40/5.31 | (760) e2 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (760) can reduce 134 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (240) ~ (all_0_4_4 = e2)
% 20.40/5.31 | (1063) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (1002) can reduce 240 to:
% 20.40/5.31 | (1005) ~ (e2 = e1)
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 1005 yields:
% 20.40/5.31 | (134) ~ (e2 = e1)
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (549), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1125) all_0_7_7 = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (1125) can reduce 537 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.31 | (1252) all_0_11_11 = e2 | all_0_19_19 = e2
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (1252), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (266) all_0_11_11 = e2
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (306,266) yields a new equation:
% 20.40/5.31 | (847) e4 = e2
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 847 yields:
% 20.40/5.31 | (297) e4 = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (297) can reduce 205 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (226) ~ (all_0_11_11 = e2)
% 20.40/5.31 | (367) all_0_19_19 = e2
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (916,367) yields a new equation:
% 20.40/5.31 | (760) e2 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (760) can reduce 134 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.31 | (741) all_0_16_16 = e1
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (1629,741) yields a new equation:
% 20.40/5.31 | (1500) e4 = e1
% 20.40/5.31 |
% 20.40/5.31 | Simplifying 1500 yields:
% 20.40/5.31 | (934) e4 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (934) can reduce 217 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (232) ~ (all_0_18_18 = e2)
% 20.40/5.31 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (80), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (437) all_0_6_6 = e2
% 20.40/5.31 |
% 20.40/5.31 | Combining equations (437,431) yields a new equation:
% 20.40/5.31 | (297) e4 = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (297) can reduce 205 to:
% 20.40/5.31 | (267) $false
% 20.40/5.31 |
% 20.40/5.31 |-The branch is then unsatisfiable
% 20.40/5.31 |-Branch two:
% 20.40/5.31 | (223) ~ (all_0_6_6 = e2)
% 20.40/5.31 | (4338) all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 20.40/5.31 |
% 20.40/5.31 | Equations (431) can reduce 223 to:
% 20.40/5.31 | (205) ~ (e4 = e2)
% 20.40/5.31 |
% 20.40/5.31 +-Applying beta-rule and splitting (76), into two cases.
% 20.40/5.31 |-Branch one:
% 20.40/5.31 | (1002) all_0_4_4 = e1
% 20.40/5.31 |
% 20.40/5.31 | Equations (1002) can reduce 74 to:
% 20.40/5.31 | (3900) ~ (all_0_7_7 = e1)
% 20.40/5.31 |
% 20.40/5.32 | Simplifying 3900 yields:
% 20.40/5.32 | (1801) ~ (all_0_7_7 = e1)
% 20.40/5.32 |
% 20.40/5.32 | Equations (1002) can reduce 261 to:
% 20.40/5.32 | (721) ~ (e4 = e1)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 721 yields:
% 20.40/5.32 | (217) ~ (e4 = e1)
% 20.40/5.32 |
% 20.40/5.32 | Equations (1002) can reduce 240 to:
% 20.40/5.32 | (1005) ~ (e2 = e1)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 1005 yields:
% 20.40/5.32 | (134) ~ (e2 = e1)
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (11), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (1125) all_0_7_7 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (1125) can reduce 48 to:
% 20.40/5.32 | (273) ~ (all_0_19_19 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 273 yields:
% 20.40/5.32 | (274) ~ (all_0_19_19 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Equations (1125) can reduce 450 to:
% 20.40/5.32 | (233) ~ (e4 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 233 yields:
% 20.40/5.32 | (205) ~ (e4 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Equations (1125) can reduce 1269 to:
% 20.40/5.32 | (235) ~ (e3 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 235 yields:
% 20.40/5.32 | (191) ~ (e3 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Equations (1125) can reduce 1801 to:
% 20.40/5.32 | (134) ~ (e2 = e1)
% 20.40/5.32 |
% 20.40/5.32 | Equations (1125) can reduce 4 to:
% 20.40/5.32 | (45) ~ (e2 = e0)
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (73), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (367) all_0_19_19 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (367) can reduce 274 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (274) ~ (all_0_19_19 = e2)
% 20.40/5.32 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (56), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (1385) all_0_7_7 = e1
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (1385,1125) yields a new equation:
% 20.40/5.32 | (760) e2 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (760) can reduce 134 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (1801) ~ (all_0_7_7 = e1)
% 20.40/5.32 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (25), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (741) all_0_16_16 = e1
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (1629,741) yields a new equation:
% 20.40/5.32 | (1500) e4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 1500 yields:
% 20.40/5.32 | (934) e4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (934) can reduce 217 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (911) ~ (all_0_16_16 = e1)
% 20.40/5.32 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (1629) can reduce 911 to:
% 20.40/5.32 | (217) ~ (e4 = e1)
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (100), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (284) all_0_16_16 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (1629,284) yields a new equation:
% 20.40/5.32 | (847) e4 = e2
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 847 yields:
% 20.40/5.32 | (297) e4 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (297) can reduce 205 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (246) ~ (all_0_16_16 = e2)
% 20.40/5.32 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (1802), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (309) all_0_11_11 = e1
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (309,306) yields a new equation:
% 20.40/5.32 | (934) e4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (934) can reduce 217 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (1387) ~ (all_0_11_11 = e1)
% 20.40/5.32 | (916) all_0_19_19 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (916) can reduce 274 to:
% 20.40/5.32 | (1005) ~ (e2 = e1)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 1005 yields:
% 20.40/5.32 | (134) ~ (e2 = e1)
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (287), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (288) all_0_17_17 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (288,842) yields a new equation:
% 20.40/5.32 | (483) e3 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (483) can reduce 191 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (361) ~ (all_0_17_17 = e2)
% 20.40/5.32 | (362) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (362), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (363) all_0_18_18 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (363) can reduce 232 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (232) ~ (all_0_18_18 = e2)
% 20.40/5.32 | (366) all_0_19_19 = e2 | all_0_20_20 = e2
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (366), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (367) all_0_19_19 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (916,367) yields a new equation:
% 20.40/5.32 | (760) e2 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (760) can reduce 134 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (274) ~ (all_0_19_19 = e2)
% 20.40/5.32 | (337) all_0_20_20 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (337,345) yields a new equation:
% 20.40/5.32 | (352) e2 = e0
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 352 yields:
% 20.40/5.32 | (353) e2 = e0
% 20.40/5.32 |
% 20.40/5.32 | Equations (353) can reduce 45 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.32 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (101), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (270) all_0_2_2 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (270,384) yields a new equation:
% 20.40/5.32 | (483) e3 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (483) can reduce 191 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (379) ~ (all_0_2_2 = e2)
% 20.40/5.32 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (218), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (1059) all_0_4_4 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (1059,1002) yields a new equation:
% 20.40/5.32 | (759) e2 = e1
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 759 yields:
% 20.40/5.32 | (760) e2 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (760) can reduce 134 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (240) ~ (all_0_4_4 = e2)
% 20.40/5.32 | (1063) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (1002) can reduce 240 to:
% 20.40/5.32 | (1005) ~ (e2 = e1)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 1005 yields:
% 20.40/5.32 | (134) ~ (e2 = e1)
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (100), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (284) all_0_16_16 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (1629,284) yields a new equation:
% 20.40/5.32 | (847) e4 = e2
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 847 yields:
% 20.40/5.32 | (297) e4 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (297) can reduce 205 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (246) ~ (all_0_16_16 = e2)
% 20.40/5.32 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (1629) can reduce 246 to:
% 20.40/5.32 | (205) ~ (e4 = e2)
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (549), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (1125) all_0_7_7 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (1125) can reduce 537 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.32 | (1252) all_0_11_11 = e2 | all_0_19_19 = e2
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (1252), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (266) all_0_11_11 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (306,266) yields a new equation:
% 20.40/5.32 | (847) e4 = e2
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 847 yields:
% 20.40/5.32 | (297) e4 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (297) can reduce 205 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (226) ~ (all_0_11_11 = e2)
% 20.40/5.32 | (367) all_0_19_19 = e2
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (56), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (1385) all_0_7_7 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (1385) can reduce 1801 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (1801) ~ (all_0_7_7 = e1)
% 20.40/5.32 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (25), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (741) all_0_16_16 = e1
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (1629,741) yields a new equation:
% 20.40/5.32 | (1500) e4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 1500 yields:
% 20.40/5.32 | (934) e4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (934) can reduce 217 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (911) ~ (all_0_16_16 = e1)
% 20.40/5.32 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (1629) can reduce 911 to:
% 20.40/5.32 | (217) ~ (e4 = e1)
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (1802), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (309) all_0_11_11 = e1
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (306,309) yields a new equation:
% 20.40/5.32 | (1500) e4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 1500 yields:
% 20.40/5.32 | (934) e4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (934) can reduce 217 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (1387) ~ (all_0_11_11 = e1)
% 20.40/5.32 | (916) all_0_19_19 = e1
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (367,916) yields a new equation:
% 20.40/5.32 | (759) e2 = e1
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 759 yields:
% 20.40/5.32 | (760) e2 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (760) can reduce 134 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.32 | (741) all_0_16_16 = e1
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (741,1629) yields a new equation:
% 20.40/5.32 | (934) e4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (934) can reduce 217 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (1965) ~ (all_0_16_16 = e4)
% 20.40/5.32 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (80), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (437) all_0_6_6 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (437,431) yields a new equation:
% 20.40/5.32 | (297) e4 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (297) can reduce 205 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (223) ~ (all_0_6_6 = e2)
% 20.40/5.32 | (4338) all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (431) can reduce 223 to:
% 20.40/5.32 | (205) ~ (e4 = e2)
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (41), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (253) all_0_0_0 = e4
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (253,326) yields a new equation:
% 20.40/5.32 | (657) e4 = e0
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 657 yields:
% 20.40/5.32 | (327) e4 = e0
% 20.40/5.32 |
% 20.40/5.32 | Equations (327) can reduce 7 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (1168) ~ (all_0_0_0 = e4)
% 20.40/5.32 | (1619) all_0_4_4 = e4 | all_0_13_13 = e4 | all_0_16_16 = e4
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (1619), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (427) all_0_4_4 = e4
% 20.40/5.32 |
% 20.40/5.32 | Equations (427) can reduce 261 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (261) ~ (all_0_4_4 = e4)
% 20.40/5.32 | (1624) all_0_13_13 = e4 | all_0_16_16 = e4
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (1624), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (1625) all_0_13_13 = e4
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (239,1625) yields a new equation:
% 20.40/5.32 | (297) e4 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (297) can reduce 205 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (1628) ~ (all_0_13_13 = e4)
% 20.40/5.32 | (1629) all_0_16_16 = e4
% 20.40/5.32 |
% 20.40/5.32 | Equations (1629) can reduce 1965 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (400) ~ (all_0_6_6 = e4)
% 20.40/5.32 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (180), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (437) all_0_6_6 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (437) can reduce 99 to:
% 20.40/5.32 | (240) ~ (all_0_4_4 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Equations (437) can reduce 23 to:
% 20.40/5.32 | (2862) ~ (all_0_7_7 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 2862 yields:
% 20.40/5.32 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Equations (437) can reduce 155 to:
% 20.40/5.32 | (231) ~ (all_0_18_18 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 231 yields:
% 20.40/5.32 | (232) ~ (all_0_18_18 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Equations (437) can reduce 426 to:
% 20.40/5.32 | (235) ~ (e3 = e2)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 235 yields:
% 20.40/5.32 | (191) ~ (e3 = e2)
% 20.40/5.32 |
% 20.40/5.32 | From (437) and (89) follows:
% 20.40/5.32 | (1838) op(e3, e2) = e2
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (101), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (270) all_0_2_2 = e2
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (270,384) yields a new equation:
% 20.40/5.32 | (483) e3 = e2
% 20.40/5.32 |
% 20.40/5.32 | Equations (483) can reduce 191 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (379) ~ (all_0_2_2 = e2)
% 20.40/5.32 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (129), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (427) all_0_4_4 = e4
% 20.40/5.32 |
% 20.40/5.32 | Equations (427) can reduce 28 to:
% 20.40/5.32 | (24) ~ (e4 = e3)
% 20.40/5.32 |
% 20.40/5.32 | From (427) and (179) follows:
% 20.40/5.32 | (1419) op(e3, e4) = e4
% 20.40/5.32 |
% 20.40/5.32 +-Applying beta-rule and splitting (76), into two cases.
% 20.40/5.32 |-Branch one:
% 20.40/5.32 | (1002) all_0_4_4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Combining equations (1002,427) yields a new equation:
% 20.40/5.32 | (934) e4 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (934) can reduce 217 to:
% 20.40/5.32 | (267) $false
% 20.40/5.32 |
% 20.40/5.32 |-The branch is then unsatisfiable
% 20.40/5.32 |-Branch two:
% 20.40/5.32 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.32 | (741) all_0_16_16 = e1
% 20.40/5.32 |
% 20.40/5.32 | Equations (741) can reduce 161 to:
% 20.40/5.32 | (2856) ~ (all_0_18_18 = e1)
% 20.40/5.32 |
% 20.40/5.32 | Simplifying 2856 yields:
% 20.40/5.32 | (17) ~ (all_0_18_18 = e1)
% 20.40/5.32 |
% 20.40/5.33 | Equations (741) can reduce 69 to:
% 20.40/5.33 | (738) ~ (all_0_19_19 = e1)
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 738 yields:
% 20.40/5.33 | (739) ~ (all_0_19_19 = e1)
% 20.40/5.33 |
% 20.40/5.33 | Equations (741) can reduce 587 to:
% 20.40/5.33 | (131) ~ (e1 = e0)
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (213), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (363) all_0_18_18 = e2
% 20.40/5.33 |
% 20.40/5.33 | Equations (363) can reduce 232 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (232) ~ (all_0_18_18 = e2)
% 20.40/5.33 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (73), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (367) all_0_19_19 = e2
% 20.40/5.33 |
% 20.40/5.33 | Equations (367) can reduce 48 to:
% 20.40/5.33 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.33 |
% 20.40/5.33 | From (367) and (209) follows:
% 20.40/5.33 | (1259) op(e0, e1) = e2
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (11), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (1125) all_0_7_7 = e2
% 20.40/5.33 |
% 20.40/5.33 | Equations (1125) can reduce 537 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (537) ~ (all_0_7_7 = e2)
% 20.40/5.33 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (598), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (599) all_0_18_18 = e4
% 20.40/5.33 |
% 20.40/5.33 | Equations (599) can reduce 17 to:
% 20.40/5.33 | (217) ~ (e4 = e1)
% 20.40/5.33 |
% 20.40/5.33 | From (599) and (142) follows:
% 20.40/5.33 | (1408) op(e0, e2) = e4
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (175), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (1002) all_0_4_4 = e1
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (427,1002) yields a new equation:
% 20.40/5.33 | (1500) e4 = e1
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 1500 yields:
% 20.40/5.33 | (934) e4 = e1
% 20.40/5.33 |
% 20.40/5.33 | Equations (934) can reduce 217 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (742) ~ (all_0_4_4 = e1)
% 20.40/5.33 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (56), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (1385) all_0_7_7 = e1
% 20.40/5.33 |
% 20.40/5.33 | Equations (1385) can reduce 537 to:
% 20.40/5.33 | (1005) ~ (e2 = e1)
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 1005 yields:
% 20.40/5.33 | (134) ~ (e2 = e1)
% 20.40/5.33 |
% 20.40/5.33 | Equations (1385) can reduce 4 to:
% 20.40/5.33 | (131) ~ (e1 = e0)
% 20.40/5.33 |
% 20.40/5.33 | From (1385) and (144) follows:
% 20.40/5.33 | (1388) op(e3, e1) = e1
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (54), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (1420) unit = e2
% 20.40/5.33 |
% 20.40/5.33 | From (1420) and (52) follows:
% 20.40/5.33 | (1421) op(e2, e4) = e4
% 20.40/5.33 |
% 20.40/5.33 | From (1420) and (112) follows:
% 20.40/5.33 | (2453) op(e3, e2) = e3
% 20.40/5.33 |
% 20.40/5.33 | From (1420) and (146) follows:
% 20.40/5.33 | (1422) op(e1, e2) = e1
% 20.40/5.33 |
% 20.40/5.33 | From (1420) and (220) follows:
% 20.40/5.33 | (1423) op(e0, e2) = e0
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 20.40/5.33 | (483) e3 = e2
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 20.40/5.33 | (452) e4 = e3
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields:
% 20.40/5.33 | (833) e3 = e1
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields:
% 20.40/5.33 | (327) e4 = e0
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (452,327) yields a new equation:
% 20.40/5.33 | (1102) e3 = e0
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 1102 yields:
% 20.40/5.33 | (1103) e3 = e0
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (1103,483) yields a new equation:
% 20.40/5.33 | (353) e2 = e0
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (833,483) yields a new equation:
% 20.40/5.33 | (760) e2 = e1
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (760,353) yields a new equation:
% 20.40/5.33 | (1156) e1 = e0
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 1156 yields:
% 20.40/5.33 | (871) e1 = e0
% 20.40/5.33 |
% 20.40/5.33 | Equations (871) can reduce 131 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (1432) ~ (unit = e2)
% 20.40/5.33 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (1433), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (1434) unit = e4
% 20.40/5.33 |
% 20.40/5.33 | From (1434) and (130) follows:
% 20.40/5.33 | (1435) op(e4, e1) = e1
% 20.40/5.33 |
% 20.40/5.33 | From (1434) and (42) follows:
% 20.40/5.33 | (1436) op(e4, e0) = e0
% 20.40/5.33 |
% 20.40/5.33 | From (1434) and (112) follows:
% 20.40/5.33 | (1437) op(e3, e4) = e3
% 20.40/5.33 |
% 20.40/5.33 | From (1434) and (169) follows:
% 20.40/5.33 | (1438) op(e2, e4) = e2
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields:
% 20.40/5.33 | (833) e3 = e1
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 20.40/5.33 | (327) e4 = e0
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 20.40/5.33 | (452) e4 = e3
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.40/5.33 | (483) e3 = e2
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (452,327) yields a new equation:
% 20.40/5.33 | (1102) e3 = e0
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 1102 yields:
% 20.40/5.33 | (1103) e3 = e0
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (1103,483) yields a new equation:
% 20.40/5.33 | (353) e2 = e0
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (833,483) yields a new equation:
% 20.40/5.33 | (760) e2 = e1
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (353,760) yields a new equation:
% 20.40/5.33 | (871) e1 = e0
% 20.40/5.33 |
% 20.40/5.33 | Equations (871) can reduce 131 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (1449) ~ (unit = e4)
% 20.40/5.33 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (1450), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (1451) unit = e0
% 20.40/5.33 |
% 20.40/5.33 | Equations (1451) can reduce 564 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (564) ~ (unit = e0)
% 20.40/5.33 | (1454) unit = e3 | unit = e1
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (1454), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (1455) unit = e3
% 20.40/5.33 |
% 20.40/5.33 | From (1455) and (199) follows:
% 20.40/5.33 | (1457) op(e4, e3) = e4
% 20.40/5.33 |
% 20.40/5.33 | From (1455) and (146) follows:
% 20.40/5.33 | (1458) op(e1, e3) = e1
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 20.40/5.33 | (297) e4 = e2
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 20.40/5.33 | (934) e4 = e1
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (297,934) yields a new equation:
% 20.40/5.33 | (759) e2 = e1
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 759 yields:
% 20.40/5.33 | (760) e2 = e1
% 20.40/5.33 |
% 20.40/5.33 | Equations (760) can reduce 134 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (493) ~ (unit = e3)
% 20.40/5.33 | (1467) unit = e1
% 20.40/5.33 |
% 20.40/5.33 | Equations (1467) can reduce 564 to:
% 20.40/5.33 | (131) ~ (e1 = e0)
% 20.40/5.33 |
% 20.40/5.33 | From (1467) and (52) follows:
% 20.40/5.33 | (1469) op(e1, e4) = e4
% 20.40/5.33 |
% 20.40/5.33 | From (1467) and (71) follows:
% 20.40/5.33 | (1470) op(e1, e3) = e3
% 20.40/5.33 |
% 20.40/5.33 | From (1467) and (112) follows:
% 20.40/5.33 | (1471) op(e3, e1) = e3
% 20.40/5.33 |
% 20.40/5.33 | From (1467) and (220) follows:
% 20.40/5.33 | (1472) op(e0, e1) = e0
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 20.40/5.33 | (833) e3 = e1
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 20.40/5.33 | (297) e4 = e2
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 20.40/5.33 | (452) e4 = e3
% 20.40/5.33 |
% 20.40/5.33 | Instantiating formula (178) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 20.40/5.33 | (353) e2 = e0
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (297,452) yields a new equation:
% 20.40/5.33 | (483) e3 = e2
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (483,833) yields a new equation:
% 20.40/5.33 | (759) e2 = e1
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 759 yields:
% 20.40/5.33 | (760) e2 = e1
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (760,353) yields a new equation:
% 20.40/5.33 | (1156) e1 = e0
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 1156 yields:
% 20.40/5.33 | (871) e1 = e0
% 20.40/5.33 |
% 20.40/5.33 | Equations (871) can reduce 131 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (1801) ~ (all_0_7_7 = e1)
% 20.40/5.33 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (1292), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (459) all_0_5_5 = e1
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (459,406) yields a new equation:
% 20.40/5.33 | (1156) e1 = e0
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 1156 yields:
% 20.40/5.33 | (871) e1 = e0
% 20.40/5.33 |
% 20.40/5.33 | Equations (871) can reduce 131 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (265) ~ (all_0_5_5 = e1)
% 20.40/5.33 | (1385) all_0_7_7 = e1
% 20.40/5.33 |
% 20.40/5.33 | Equations (1385) can reduce 1801 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (674) ~ (all_0_18_18 = e4)
% 20.40/5.33 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (1397), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (399) all_0_15_15 = e4
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (462,399) yields a new equation:
% 20.40/5.33 | (452) e4 = e3
% 20.40/5.33 |
% 20.40/5.33 | Equations (452) can reduce 24 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (461) ~ (all_0_15_15 = e4)
% 20.40/5.33 | (599) all_0_18_18 = e4
% 20.40/5.33 |
% 20.40/5.33 | Equations (599) can reduce 674 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (274) ~ (all_0_19_19 = e2)
% 20.40/5.33 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (1076), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (644) all_0_19_19 = e4
% 20.40/5.33 |
% 20.40/5.33 | Equations (644) can reduce 602 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (602) ~ (all_0_19_19 = e4)
% 20.40/5.33 | (1080) all_0_19_19 = e3 | all_0_19_19 = e1
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (1080), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (1081) all_0_19_19 = e3
% 20.40/5.33 |
% 20.40/5.33 | Equations (1081) can reduce 968 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (968) ~ (all_0_19_19 = e3)
% 20.40/5.33 | (916) all_0_19_19 = e1
% 20.40/5.33 |
% 20.40/5.33 | Equations (916) can reduce 739 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (261) ~ (all_0_4_4 = e4)
% 20.40/5.33 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (62), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (1059) all_0_4_4 = e2
% 20.40/5.33 |
% 20.40/5.33 | Equations (1059) can reduce 240 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.40/5.33 |-The branch is then unsatisfiable
% 20.40/5.33 |-Branch two:
% 20.40/5.33 | (240) ~ (all_0_4_4 = e2)
% 20.40/5.33 | (5402) all_0_4_4 = e4 | all_0_4_4 = e1 | all_0_4_4 = e0
% 20.40/5.33 |
% 20.40/5.33 +-Applying beta-rule and splitting (41), into two cases.
% 20.40/5.33 |-Branch one:
% 20.40/5.33 | (253) all_0_0_0 = e4
% 20.40/5.33 |
% 20.40/5.33 | Combining equations (253,326) yields a new equation:
% 20.40/5.33 | (657) e4 = e0
% 20.40/5.33 |
% 20.40/5.33 | Simplifying 657 yields:
% 20.40/5.33 | (327) e4 = e0
% 20.40/5.33 |
% 20.40/5.33 | Equations (327) can reduce 7 to:
% 20.40/5.33 | (267) $false
% 20.40/5.33 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (1168) ~ (all_0_0_0 = e4)
% 20.66/5.34 | (1619) all_0_4_4 = e4 | all_0_13_13 = e4 | all_0_16_16 = e4
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (549), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (1125) all_0_7_7 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (1125) can reduce 537 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (537) ~ (all_0_7_7 = e2)
% 20.66/5.34 | (1252) all_0_11_11 = e2 | all_0_19_19 = e2
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (11), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (1125) all_0_7_7 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (1125) can reduce 537 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (537) ~ (all_0_7_7 = e2)
% 20.66/5.34 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (3353), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (435) all_0_7_7 = e4
% 20.66/5.34 |
% 20.66/5.34 | Equations (435) can reduce 450 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (450) ~ (all_0_7_7 = e4)
% 20.66/5.34 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (3357), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (713) all_0_7_7 = e3
% 20.66/5.34 |
% 20.66/5.34 | Equations (713) can reduce 1269 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (1269) ~ (all_0_7_7 = e3)
% 20.66/5.34 | (1385) all_0_7_7 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (1385) can reduce 74 to:
% 20.66/5.34 | (742) ~ (all_0_4_4 = e1)
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (76), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (1002) all_0_4_4 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (1002) can reduce 742 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (742) ~ (all_0_4_4 = e1)
% 20.66/5.34 | (741) all_0_16_16 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (741) can reduce 204 to:
% 20.66/5.34 | (742) ~ (all_0_4_4 = e1)
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (1619), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (427) all_0_4_4 = e4
% 20.66/5.34 |
% 20.66/5.34 | Equations (427) can reduce 261 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (261) ~ (all_0_4_4 = e4)
% 20.66/5.34 | (1624) all_0_13_13 = e4 | all_0_16_16 = e4
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (5402), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (427) all_0_4_4 = e4
% 20.66/5.34 |
% 20.66/5.34 | Equations (427) can reduce 261 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (261) ~ (all_0_4_4 = e4)
% 20.66/5.34 | (5410) all_0_4_4 = e1 | all_0_4_4 = e0
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (5410), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (785) all_0_4_4 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (785) can reduce 882 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (882) ~ (all_0_4_4 = e0)
% 20.66/5.34 | (1002) all_0_4_4 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (1002) can reduce 742 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (223) ~ (all_0_6_6 = e2)
% 20.66/5.34 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (440), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (431) all_0_6_6 = e4
% 20.66/5.34 |
% 20.66/5.34 | Equations (431) can reduce 400 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (400) ~ (all_0_6_6 = e4)
% 20.66/5.34 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (444), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (411) all_0_6_6 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (411) can reduce 408 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (408) ~ (all_0_6_6 = e0)
% 20.66/5.34 | (448) all_0_6_6 = e3
% 20.66/5.34 |
% 20.66/5.34 | Equations (448) can reduce 426 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (310) ~ (all_0_9_9 = e1)
% 20.66/5.34 | (913) all_0_17_17 = e1
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (842,913) yields a new equation:
% 20.66/5.34 | (832) e3 = e1
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 832 yields:
% 20.66/5.34 | (833) e3 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (833) can reduce 133 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (1858) ~ (all_0_17_17 = e3)
% 20.66/5.34 | (2250) all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (157), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (288) all_0_17_17 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (288) can reduce 361 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (361) ~ (all_0_17_17 = e2)
% 20.66/5.34 | (1689) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (1689), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (846) all_0_17_17 = e4
% 20.66/5.34 |
% 20.66/5.34 | Equations (846) can reduce 510 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (510) ~ (all_0_17_17 = e4)
% 20.66/5.34 | (1696) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (1696), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (351) all_0_17_17 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (351) can reduce 654 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (654) ~ (all_0_17_17 = e0)
% 20.66/5.34 | (1700) all_0_17_17 = e3 | all_0_17_17 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (1700), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (842) all_0_17_17 = e3
% 20.66/5.34 |
% 20.66/5.34 | Equations (842) can reduce 1858 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (1858) ~ (all_0_17_17 = e3)
% 20.66/5.34 | (913) all_0_17_17 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (913) can reduce 163 to:
% 20.66/5.34 | (310) ~ (all_0_9_9 = e1)
% 20.66/5.34 |
% 20.66/5.34 | Equations (913) can reduce 107 to:
% 20.66/5.34 | (911) ~ (all_0_16_16 = e1)
% 20.66/5.34 |
% 20.66/5.34 | Equations (913) can reduce 654 to:
% 20.66/5.34 | (131) ~ (e1 = e0)
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (56), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (1385) all_0_7_7 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (1385) can reduce 74 to:
% 20.66/5.34 | (742) ~ (all_0_4_4 = e1)
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (76), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (1002) all_0_4_4 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (1002) can reduce 742 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (742) ~ (all_0_4_4 = e1)
% 20.66/5.34 | (741) all_0_16_16 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (741) can reduce 911 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (1801) ~ (all_0_7_7 = e1)
% 20.66/5.34 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (11), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (1125) all_0_7_7 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (1125) can reduce 1801 to:
% 20.66/5.34 | (134) ~ (e2 = e1)
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (214), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (284) all_0_16_16 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (284) can reduce 246 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (246) ~ (all_0_16_16 = e2)
% 20.66/5.34 | (2180) all_0_16_16 = e4 | all_0_16_16 = e1 | all_0_16_16 = e0
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (175), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (1002) all_0_4_4 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (1002) can reduce 204 to:
% 20.66/5.34 | (6125) ~ (all_0_16_16 = e1)
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 6125 yields:
% 20.66/5.34 | (911) ~ (all_0_16_16 = e1)
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (2180), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (1629) all_0_16_16 = e4
% 20.66/5.34 |
% 20.66/5.34 | Equations (1629) can reduce 911 to:
% 20.66/5.34 | (217) ~ (e4 = e1)
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (63), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (356) all_0_9_9 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (356) can reduce 310 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (310) ~ (all_0_9_9 = e1)
% 20.66/5.34 | (309) all_0_11_11 = e1
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (306,309) yields a new equation:
% 20.66/5.34 | (1500) e4 = e1
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 1500 yields:
% 20.66/5.34 | (934) e4 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (934) can reduce 217 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (1965) ~ (all_0_16_16 = e4)
% 20.66/5.34 | (6137) all_0_16_16 = e1 | all_0_16_16 = e0
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (6137), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (609) all_0_16_16 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (609) can reduce 587 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (587) ~ (all_0_16_16 = e0)
% 20.66/5.34 | (741) all_0_16_16 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (741) can reduce 911 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (742) ~ (all_0_4_4 = e1)
% 20.66/5.34 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (1292), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (459) all_0_5_5 = e1
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (406,459) yields a new equation:
% 20.66/5.34 | (871) e1 = e0
% 20.66/5.34 |
% 20.66/5.34 | Equations (871) can reduce 131 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (265) ~ (all_0_5_5 = e1)
% 20.66/5.34 | (1385) all_0_7_7 = e1
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (1125,1385) yields a new equation:
% 20.66/5.34 | (759) e2 = e1
% 20.66/5.34 |
% 20.66/5.34 | Simplifying 759 yields:
% 20.66/5.34 | (760) e2 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (760) can reduce 134 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (537) ~ (all_0_7_7 = e2)
% 20.66/5.34 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (3353), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (435) all_0_7_7 = e4
% 20.66/5.34 |
% 20.66/5.34 | Equations (435) can reduce 450 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (450) ~ (all_0_7_7 = e4)
% 20.66/5.34 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (3357), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (713) all_0_7_7 = e3
% 20.66/5.34 |
% 20.66/5.34 | Equations (713) can reduce 1269 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (1269) ~ (all_0_7_7 = e3)
% 20.66/5.34 | (1385) all_0_7_7 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (1385) can reduce 1801 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (303) ~ (all_0_11_11 = e4)
% 20.66/5.34 | (301) all_0_12_12 = e4
% 20.66/5.34 |
% 20.66/5.34 | Combining equations (374,301) yields a new equation:
% 20.66/5.34 | (297) e4 = e2
% 20.66/5.34 |
% 20.66/5.34 | Equations (297) can reduce 205 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (514) ~ (all_0_14_14 = e4)
% 20.66/5.34 | (391) all_0_14_14 = e3
% 20.66/5.34 |
% 20.66/5.34 | Equations (391) can reduce 464 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (422) ~ (all_0_5_5 = e0)
% 20.66/5.34 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 20.66/5.34 |
% 20.66/5.34 +-Applying beta-rule and splitting (455), into two cases.
% 20.66/5.34 |-Branch one:
% 20.66/5.34 | (456) all_0_5_5 = e3
% 20.66/5.34 |
% 20.66/5.34 | Equations (456) can reduce 392 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.34 |-Branch two:
% 20.66/5.34 | (392) ~ (all_0_5_5 = e3)
% 20.66/5.34 | (459) all_0_5_5 = e1
% 20.66/5.34 |
% 20.66/5.34 | Equations (459) can reduce 265 to:
% 20.66/5.34 | (267) $false
% 20.66/5.34 |
% 20.66/5.34 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (336) ~ (all_0_20_20 = e0)
% 20.66/5.35 | (348) all_0_20_20 = e3
% 20.66/5.35 |
% 20.66/5.35 | Equations (348) can reduce 325 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (724) ~ (all_0_8_8 = e3)
% 20.66/5.35 | (348) all_0_20_20 = e3
% 20.66/5.35 |
% 20.66/5.35 | Equations (348) can reduce 325 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (348) all_0_20_20 = e3
% 20.66/5.35 | (351) all_0_17_17 = e0
% 20.66/5.35 |
% 20.66/5.35 | Equations (348) can reduce 193 to:
% 20.66/5.35 | (724) ~ (all_0_8_8 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Equations (348) can reduce 115 to:
% 20.66/5.35 | (58) ~ (all_0_16_16 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Equations (351) can reduce 137 to:
% 20.66/5.35 | (593) ~ (all_0_18_18 = e0)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 593 yields:
% 20.66/5.35 | (570) ~ (all_0_18_18 = e0)
% 20.66/5.35 |
% 20.66/5.35 | Equations (348) can reduce 35 to:
% 20.66/5.35 | (968) ~ (all_0_19_19 = e3)
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (77), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (281) all_0_8_8 = e2
% 20.66/5.35 |
% 20.66/5.35 | Equations (281) can reduce 372 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (372) ~ (all_0_8_8 = e2)
% 20.66/5.35 | (2140) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e0
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (2140), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (296) all_0_8_8 = e4
% 20.66/5.35 |
% 20.66/5.35 | Equations (296) can reduce 299 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (299) ~ (all_0_8_8 = e4)
% 20.66/5.35 | (2153) all_0_8_8 = e3 | all_0_8_8 = e0
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (2153), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (2154) all_0_8_8 = e0
% 20.66/5.35 |
% 20.66/5.35 | Equations (2154) can reduce 66 to:
% 20.66/5.35 | (422) ~ (all_0_5_5 = e0)
% 20.66/5.35 |
% 20.66/5.35 | Equations (2154) can reduce 138 to:
% 20.66/5.35 | (408) ~ (all_0_6_6 = e0)
% 20.66/5.35 |
% 20.66/5.35 | Equations (2154) can reduce 49 to:
% 20.66/5.35 | (4) ~ (all_0_7_7 = e0)
% 20.66/5.35 |
% 20.66/5.35 | Equations (2154) can reduce 195 to:
% 20.66/5.35 | (788) ~ (e1 = e0)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 788 yields:
% 20.66/5.35 | (131) ~ (e1 = e0)
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (184), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (402) all_0_5_5 = e2
% 20.66/5.35 |
% 20.66/5.35 | Equations (402) can reduce 238 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (238) ~ (all_0_5_5 = e2)
% 20.66/5.35 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (126), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (459) all_0_5_5 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (459) can reduce 265 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (265) ~ (all_0_5_5 = e1)
% 20.66/5.35 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (405), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (406) all_0_5_5 = e0
% 20.66/5.35 |
% 20.66/5.35 | Equations (406) can reduce 422 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (422) ~ (all_0_5_5 = e0)
% 20.66/5.35 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (1035), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (356) all_0_9_9 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (356) can reduce 2 to:
% 20.66/5.35 | (265) ~ (all_0_5_5 = e1)
% 20.66/5.35 |
% 20.66/5.35 | Equations (356) can reduce 197 to:
% 20.66/5.35 | (1386) ~ (all_0_11_11 = e1)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 1386 yields:
% 20.66/5.35 | (1387) ~ (all_0_11_11 = e1)
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (455), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (456) all_0_5_5 = e3
% 20.66/5.35 |
% 20.66/5.35 | Equations (456) can reduce 88 to:
% 20.66/5.35 | (1272) ~ (all_0_14_14 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 1272 yields:
% 20.66/5.35 | (464) ~ (all_0_14_14 = e3)
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (91), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (391) all_0_14_14 = e3
% 20.66/5.35 |
% 20.66/5.35 | Equations (391) can reduce 464 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (464) ~ (all_0_14_14 = e3)
% 20.66/5.35 | (462) all_0_15_15 = e3
% 20.66/5.35 |
% 20.66/5.35 | Equations (462) can reduce 151 to:
% 20.66/5.35 | (426) ~ (all_0_6_6 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Equations (462) can reduce 38 to:
% 20.66/5.35 | (464) ~ (all_0_14_14 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Equations (462) can reduce 59 to:
% 20.66/5.35 | (467) ~ (all_0_18_18 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 467 yields:
% 20.66/5.35 | (468) ~ (all_0_18_18 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Equations (462) can reduce 230 to:
% 20.66/5.35 | (191) ~ (e3 = e2)
% 20.66/5.35 |
% 20.66/5.35 | From (462) and (83) follows:
% 20.66/5.35 | (1284) op(e1, e2) = e3
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (12), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (315) all_0_9_9 = e4
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (356,315) yields a new equation:
% 20.66/5.35 | (934) e4 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (934) can reduce 217 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (302) ~ (all_0_9_9 = e4)
% 20.66/5.35 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (1401), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (306) all_0_11_11 = e4
% 20.66/5.35 |
% 20.66/5.35 | Equations (306) can reduce 219 to:
% 20.66/5.35 | (601) ~ (all_0_19_19 = e4)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 601 yields:
% 20.66/5.35 | (602) ~ (all_0_19_19 = e4)
% 20.66/5.35 |
% 20.66/5.35 | Equations (306) can reduce 1387 to:
% 20.66/5.35 | (217) ~ (e4 = e1)
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (188), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (387) all_0_14_14 = e2
% 20.66/5.35 |
% 20.66/5.35 | Equations (387) can reduce 242 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (242) ~ (all_0_14_14 = e2)
% 20.66/5.35 | (390) all_0_14_14 = e4 | all_0_14_14 = e3
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (75), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (472), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (473), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (474), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Applying alpha-rule on (475) yields:
% 20.66/5.35 | (270) all_0_2_2 = e2
% 20.66/5.35 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 20.66/5.35 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 20.66/5.35 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 20.66/5.35 | (310) ~ (all_0_9_9 = e1)
% 20.66/5.35 | (481) ~ (unit = e1)
% 20.66/5.35 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (270,384) yields a new equation:
% 20.66/5.35 | (483) e3 = e2
% 20.66/5.35 |
% 20.66/5.35 | Equations (483) can reduce 191 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 20.66/5.35 |
% 20.66/5.35 | Applying alpha-rule on (485) yields:
% 20.66/5.35 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 20.66/5.35 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 20.66/5.35 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 20.66/5.35 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 20.66/5.35 | (315) all_0_9_9 = e4
% 20.66/5.35 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 20.66/5.35 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 20.66/5.35 | (493) ~ (unit = e3)
% 20.66/5.35 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 20.66/5.35 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 20.66/5.35 | (496) ~ (all_0_2_2 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (356,315) yields a new equation:
% 20.66/5.35 | (934) e4 = e1
% 20.66/5.35 |
% 20.66/5.35 | Equations (934) can reduce 217 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 20.66/5.35 |
% 20.66/5.35 | Applying alpha-rule on (498) yields:
% 20.66/5.35 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 20.66/5.35 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 20.66/5.35 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 20.66/5.35 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 20.66/5.35 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 20.66/5.35 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 20.66/5.35 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 20.66/5.35 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 20.66/5.35 | (358) ~ (all_0_12_12 = e4)
% 20.66/5.35 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 20.66/5.35 | (255) ~ (all_0_1_1 = e4)
% 20.66/5.35 | (510) ~ (all_0_17_17 = e4)
% 20.66/5.35 | (257) ~ (all_0_2_2 = e4)
% 20.66/5.35 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 20.66/5.35 | (303) ~ (all_0_11_11 = e4)
% 20.66/5.35 | (514) ~ (all_0_14_14 = e4)
% 20.66/5.35 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 20.66/5.35 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 20.66/5.35 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 20.66/5.35 |
% 20.66/5.35 | Equations (306) can reduce 303 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 20.66/5.35 |
% 20.66/5.35 | Applying alpha-rule on (519) yields:
% 20.66/5.35 | (520) ~ (all_0_1_1 = e2)
% 20.66/5.35 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 20.66/5.35 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 20.66/5.35 | (226) ~ (all_0_11_11 = e2)
% 20.66/5.35 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 20.66/5.35 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 20.66/5.35 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 20.66/5.35 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 20.66/5.35 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 20.66/5.35 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 20.66/5.35 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 20.66/5.35 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 20.66/5.35 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 20.66/5.35 | (272) ~ (all_0_3_3 = e2)
% 20.66/5.35 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 20.66/5.35 | (274) ~ (all_0_19_19 = e2)
% 20.66/5.35 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 20.66/5.35 | (537) ~ (all_0_7_7 = e2)
% 20.66/5.35 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 20.66/5.35 | (224) ~ (all_0_9_9 = e2)
% 20.66/5.35 |
% 20.66/5.35 | Equations (540) can reduce 520 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 20.66/5.35 |
% 20.66/5.35 | Applying alpha-rule on (558) yields:
% 20.66/5.35 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 20.66/5.35 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 20.66/5.35 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 20.66/5.35 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 20.66/5.35 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 20.66/5.35 | (564) ~ (unit = e0)
% 20.66/5.35 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 20.66/5.35 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 20.66/5.35 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 20.66/5.35 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 20.66/5.35 | (355) ~ (all_0_9_9 = e0)
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (390), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (470) all_0_14_14 = e4
% 20.66/5.35 |
% 20.66/5.35 | Equations (470) can reduce 464 to:
% 20.66/5.35 | (24) ~ (e4 = e3)
% 20.66/5.35 |
% 20.66/5.35 | From (470) and (117) follows:
% 20.66/5.35 | (1297) op(e1, e3) = e4
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (147), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (431) all_0_6_6 = e4
% 20.66/5.35 |
% 20.66/5.35 | Equations (431) can reduce 155 to:
% 20.66/5.35 | (4119) ~ (all_0_18_18 = e4)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 4119 yields:
% 20.66/5.35 | (674) ~ (all_0_18_18 = e4)
% 20.66/5.35 |
% 20.66/5.35 | Equations (431) can reduce 426 to:
% 20.66/5.35 | (24) ~ (e4 = e3)
% 20.66/5.35 |
% 20.66/5.35 | Equations (431) can reduce 34 to:
% 20.66/5.35 | (217) ~ (e4 = e1)
% 20.66/5.35 |
% 20.66/5.35 | Equations (431) can reduce 408 to:
% 20.66/5.35 | (7) ~ (e4 = e0)
% 20.66/5.35 |
% 20.66/5.35 | From (431) and (89) follows:
% 20.66/5.35 | (1692) op(e3, e2) = e4
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (41), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (253) all_0_0_0 = e4
% 20.66/5.35 |
% 20.66/5.35 | Combining equations (253,326) yields a new equation:
% 20.66/5.35 | (657) e4 = e0
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 657 yields:
% 20.66/5.35 | (327) e4 = e0
% 20.66/5.35 |
% 20.66/5.35 | Equations (327) can reduce 7 to:
% 20.66/5.35 | (267) $false
% 20.66/5.35 |
% 20.66/5.35 |-The branch is then unsatisfiable
% 20.66/5.35 |-Branch two:
% 20.66/5.35 | (1168) ~ (all_0_0_0 = e4)
% 20.66/5.35 | (1619) all_0_4_4 = e4 | all_0_13_13 = e4 | all_0_16_16 = e4
% 20.66/5.35 |
% 20.66/5.35 | Equations (326) can reduce 1168 to:
% 20.66/5.35 | (321) ~ (e4 = e0)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 321 yields:
% 20.66/5.35 | (7) ~ (e4 = e0)
% 20.66/5.35 |
% 20.66/5.35 +-Applying beta-rule and splitting (159), into two cases.
% 20.66/5.35 |-Branch one:
% 20.66/5.35 | (1629) all_0_16_16 = e4
% 20.66/5.35 |
% 20.66/5.35 | Equations (1629) can reduce 161 to:
% 20.66/5.35 | (4119) ~ (all_0_18_18 = e4)
% 20.66/5.35 |
% 20.66/5.35 | Simplifying 4119 yields:
% 20.66/5.36 | (674) ~ (all_0_18_18 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Equations (1629) can reduce 69 to:
% 20.66/5.36 | (601) ~ (all_0_19_19 = e4)
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 601 yields:
% 20.66/5.36 | (602) ~ (all_0_19_19 = e4)
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (76), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (1002) all_0_4_4 = e1
% 20.66/5.36 |
% 20.66/5.36 | From (1002) and (179) follows:
% 20.66/5.36 | (1612) op(e3, e4) = e1
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (213), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (363) all_0_18_18 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (363) can reduce 154 to:
% 20.66/5.36 | (273) ~ (all_0_19_19 = e2)
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 273 yields:
% 20.66/5.36 | (274) ~ (all_0_19_19 = e2)
% 20.66/5.36 |
% 20.66/5.36 | Equations (363) can reduce 674 to:
% 20.66/5.36 | (233) ~ (e4 = e2)
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 233 yields:
% 20.66/5.36 | (205) ~ (e4 = e2)
% 20.66/5.36 |
% 20.66/5.36 | Equations (363) can reduce 468 to:
% 20.66/5.36 | (235) ~ (e3 = e2)
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 235 yields:
% 20.66/5.36 | (191) ~ (e3 = e2)
% 20.66/5.36 |
% 20.66/5.36 | Equations (363) can reduce 17 to:
% 20.66/5.36 | (134) ~ (e2 = e1)
% 20.66/5.36 |
% 20.66/5.36 | Equations (363) can reduce 570 to:
% 20.66/5.36 | (45) ~ (e2 = e0)
% 20.66/5.36 |
% 20.66/5.36 | From (363) and (142) follows:
% 20.66/5.36 | (3075) op(e0, e2) = e2
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (73), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (367) all_0_19_19 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (367) can reduce 274 to:
% 20.66/5.36 | (267) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (274) ~ (all_0_19_19 = e2)
% 20.66/5.36 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (218), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (1059) all_0_4_4 = e2
% 20.66/5.36 |
% 20.66/5.36 | Combining equations (1059,1002) yields a new equation:
% 20.66/5.36 | (759) e2 = e1
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 759 yields:
% 20.66/5.36 | (760) e2 = e1
% 20.66/5.36 |
% 20.66/5.36 | Equations (760) can reduce 134 to:
% 20.66/5.36 | (267) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (240) ~ (all_0_4_4 = e2)
% 20.66/5.36 | (1063) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (101), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (270) all_0_2_2 = e2
% 20.66/5.36 |
% 20.66/5.36 | Combining equations (270,384) yields a new equation:
% 20.66/5.36 | (483) e3 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (483) can reduce 191 to:
% 20.66/5.36 | (267) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (379) ~ (all_0_2_2 = e2)
% 20.66/5.36 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (384) can reduce 379 to:
% 20.66/5.36 | (191) ~ (e3 = e2)
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (11), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (1125) all_0_7_7 = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (1125) can reduce 48 to:
% 20.66/5.36 | (273) ~ (all_0_19_19 = e2)
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 273 yields:
% 20.66/5.36 | (274) ~ (all_0_19_19 = e2)
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (1076), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (644) all_0_19_19 = e4
% 20.66/5.36 |
% 20.66/5.36 | Equations (644) can reduce 602 to:
% 20.66/5.36 | (267) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (602) ~ (all_0_19_19 = e4)
% 20.66/5.36 | (1080) all_0_19_19 = e3 | all_0_19_19 = e1
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (1080), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (1081) all_0_19_19 = e3
% 20.66/5.36 |
% 20.66/5.36 | Equations (1081) can reduce 968 to:
% 20.66/5.36 | (267) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (968) ~ (all_0_19_19 = e3)
% 20.66/5.36 | (916) all_0_19_19 = e1
% 20.66/5.36 |
% 20.66/5.36 | Equations (916) can reduce 274 to:
% 20.66/5.36 | (1005) ~ (e2 = e1)
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 1005 yields:
% 20.66/5.36 | (134) ~ (e2 = e1)
% 20.66/5.36 |
% 20.66/5.36 | From (916) and (209) follows:
% 20.66/5.36 | (1813) op(e0, e1) = e1
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (54), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (1420) unit = e2
% 20.66/5.36 |
% 20.66/5.36 | Equations (1420) can reduce 564 to:
% 20.66/5.36 | (45) ~ (e2 = e0)
% 20.66/5.36 |
% 20.66/5.36 | From (1420) and (220) follows:
% 20.66/5.36 | (1423) op(e0, e2) = e0
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (178) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 20.66/5.36 | (353) e2 = e0
% 20.66/5.36 |
% 20.66/5.36 | Equations (353) can reduce 45 to:
% 20.66/5.36 | (267) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (1432) ~ (unit = e2)
% 20.66/5.36 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.66/5.36 |
% 20.66/5.36 +-Applying beta-rule and splitting (1433), into two cases.
% 20.66/5.36 |-Branch one:
% 20.66/5.36 | (1434) unit = e4
% 20.66/5.36 |
% 20.66/5.36 | From (1434) and (112) follows:
% 20.66/5.36 | (1437) op(e3, e4) = e3
% 20.66/5.36 |
% 20.66/5.36 | From (1434) and (169) follows:
% 20.66/5.36 | (1438) op(e2, e4) = e2
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 20.66/5.36 | (833) e3 = e1
% 20.66/5.36 |
% 20.66/5.36 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.66/5.36 | (483) e3 = e2
% 20.66/5.36 |
% 20.66/5.36 | Combining equations (483,833) yields a new equation:
% 20.66/5.36 | (759) e2 = e1
% 20.66/5.36 |
% 20.66/5.36 | Simplifying 759 yields:
% 20.66/5.36 | (760) e2 = e1
% 20.66/5.36 |
% 20.66/5.36 | Equations (760) can reduce 134 to:
% 20.66/5.36 | (267) $false
% 20.66/5.36 |
% 20.66/5.36 |-The branch is then unsatisfiable
% 20.66/5.36 |-Branch two:
% 20.66/5.36 | (1449) ~ (unit = e4)
% 20.76/5.36 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (1450), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (1451) unit = e0
% 20.76/5.36 |
% 20.76/5.36 | Equations (1451) can reduce 564 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (564) ~ (unit = e0)
% 20.76/5.36 | (1454) unit = e3 | unit = e1
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (1454), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (1455) unit = e3
% 20.76/5.36 |
% 20.76/5.36 | From (1455) and (153) follows:
% 20.76/5.36 | (1838) op(e3, e2) = e2
% 20.76/5.36 |
% 20.76/5.36 | From (1455) and (146) follows:
% 20.76/5.36 | (1458) op(e1, e3) = e1
% 20.76/5.36 |
% 20.76/5.36 | Instantiating formula (178) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 20.76/5.36 | (297) e4 = e2
% 20.76/5.36 |
% 20.76/5.36 | Instantiating formula (178) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 20.76/5.36 | (934) e4 = e1
% 20.76/5.36 |
% 20.76/5.36 | Combining equations (297,934) yields a new equation:
% 20.76/5.36 | (759) e2 = e1
% 20.76/5.36 |
% 20.76/5.36 | Simplifying 759 yields:
% 20.76/5.36 | (760) e2 = e1
% 20.76/5.36 |
% 20.76/5.36 | Equations (760) can reduce 134 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (493) ~ (unit = e3)
% 20.76/5.36 | (1467) unit = e1
% 20.76/5.36 |
% 20.76/5.36 | Equations (1467) can reduce 564 to:
% 20.76/5.36 | (131) ~ (e1 = e0)
% 20.76/5.36 |
% 20.76/5.36 | From (1467) and (220) follows:
% 20.76/5.36 | (1472) op(e0, e1) = e0
% 20.76/5.36 |
% 20.76/5.36 | Instantiating formula (178) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 20.76/5.36 | (871) e1 = e0
% 20.76/5.36 |
% 20.76/5.36 | Equations (871) can reduce 131 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (537) ~ (all_0_7_7 = e2)
% 20.76/5.36 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (1063), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (402) all_0_5_5 = e2
% 20.76/5.36 |
% 20.76/5.36 | Combining equations (402,456) yields a new equation:
% 20.76/5.36 | (483) e3 = e2
% 20.76/5.36 |
% 20.76/5.36 | Equations (483) can reduce 191 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (238) ~ (all_0_5_5 = e2)
% 20.76/5.36 | (1118) all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (1118), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (437) all_0_6_6 = e2
% 20.76/5.36 |
% 20.76/5.36 | Combining equations (437,431) yields a new equation:
% 20.76/5.36 | (297) e4 = e2
% 20.76/5.36 |
% 20.76/5.36 | Equations (297) can reduce 205 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (223) ~ (all_0_6_6 = e2)
% 20.76/5.36 | (1124) all_0_7_7 = e2 | all_0_8_8 = e2
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (1124), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (1125) all_0_7_7 = e2
% 20.76/5.36 |
% 20.76/5.36 | Equations (1125) can reduce 537 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (537) ~ (all_0_7_7 = e2)
% 20.76/5.36 | (281) all_0_8_8 = e2
% 20.76/5.36 |
% 20.76/5.36 | Combining equations (281,2154) yields a new equation:
% 20.76/5.36 | (352) e2 = e0
% 20.76/5.36 |
% 20.76/5.36 | Simplifying 352 yields:
% 20.76/5.36 | (353) e2 = e0
% 20.76/5.36 |
% 20.76/5.36 | Equations (353) can reduce 45 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (232) ~ (all_0_18_18 = e2)
% 20.76/5.36 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (598), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (599) all_0_18_18 = e4
% 20.76/5.36 |
% 20.76/5.36 | Equations (599) can reduce 674 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (674) ~ (all_0_18_18 = e4)
% 20.76/5.36 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (675), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (420) all_0_18_18 = e0
% 20.76/5.36 |
% 20.76/5.36 | Equations (420) can reduce 570 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (570) ~ (all_0_18_18 = e0)
% 20.76/5.36 | (679) all_0_18_18 = e3
% 20.76/5.36 |
% 20.76/5.36 | Equations (679) can reduce 468 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (742) ~ (all_0_4_4 = e1)
% 20.76/5.36 | (741) all_0_16_16 = e1
% 20.76/5.36 |
% 20.76/5.36 | Combining equations (741,1629) yields a new equation:
% 20.76/5.36 | (934) e4 = e1
% 20.76/5.36 |
% 20.76/5.36 | Equations (934) can reduce 217 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (1965) ~ (all_0_16_16 = e4)
% 20.76/5.36 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (2264), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (846) all_0_17_17 = e4
% 20.76/5.36 |
% 20.76/5.36 | Combining equations (846,351) yields a new equation:
% 20.76/5.36 | (657) e4 = e0
% 20.76/5.36 |
% 20.76/5.36 | Simplifying 657 yields:
% 20.76/5.36 | (327) e4 = e0
% 20.76/5.36 |
% 20.76/5.36 | Equations (327) can reduce 7 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (510) ~ (all_0_17_17 = e4)
% 20.76/5.36 | (2398) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (2398), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (599) all_0_18_18 = e4
% 20.76/5.36 |
% 20.76/5.36 | Equations (599) can reduce 674 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (674) ~ (all_0_18_18 = e4)
% 20.76/5.36 | (2404) all_0_19_19 = e4 | all_0_20_20 = e4
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (2404), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (644) all_0_19_19 = e4
% 20.76/5.36 |
% 20.76/5.36 | Equations (644) can reduce 602 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (602) ~ (all_0_19_19 = e4)
% 20.76/5.36 | (341) all_0_20_20 = e4
% 20.76/5.36 |
% 20.76/5.36 | Combining equations (341,348) yields a new equation:
% 20.76/5.36 | (620) e4 = e3
% 20.76/5.36 |
% 20.76/5.36 | Simplifying 620 yields:
% 20.76/5.36 | (452) e4 = e3
% 20.76/5.36 |
% 20.76/5.36 | Equations (452) can reduce 24 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (400) ~ (all_0_6_6 = e4)
% 20.76/5.36 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (1397), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (399) all_0_15_15 = e4
% 20.76/5.36 |
% 20.76/5.36 | Combining equations (399,462) yields a new equation:
% 20.76/5.36 | (620) e4 = e3
% 20.76/5.36 |
% 20.76/5.36 | Simplifying 620 yields:
% 20.76/5.36 | (452) e4 = e3
% 20.76/5.36 |
% 20.76/5.36 | Equations (452) can reduce 24 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (461) ~ (all_0_15_15 = e4)
% 20.76/5.36 | (599) all_0_18_18 = e4
% 20.76/5.36 |
% 20.76/5.36 | Equations (599) can reduce 155 to:
% 20.76/5.36 | (400) ~ (all_0_6_6 = e4)
% 20.76/5.36 |
% 20.76/5.36 | Equations (599) can reduce 161 to:
% 20.76/5.36 | (1965) ~ (all_0_16_16 = e4)
% 20.76/5.36 |
% 20.76/5.36 | Equations (599) can reduce 154 to:
% 20.76/5.36 | (601) ~ (all_0_19_19 = e4)
% 20.76/5.36 |
% 20.76/5.36 | Simplifying 601 yields:
% 20.76/5.36 | (602) ~ (all_0_19_19 = e4)
% 20.76/5.36 |
% 20.76/5.36 | Equations (599) can reduce 17 to:
% 20.76/5.36 | (217) ~ (e4 = e1)
% 20.76/5.36 |
% 20.76/5.36 | Equations (599) can reduce 570 to:
% 20.76/5.36 | (7) ~ (e4 = e0)
% 20.76/5.36 |
% 20.76/5.36 | From (599) and (142) follows:
% 20.76/5.36 | (1408) op(e0, e2) = e4
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (80), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (437) all_0_6_6 = e2
% 20.76/5.36 |
% 20.76/5.36 | Equations (437) can reduce 400 to:
% 20.76/5.36 | (233) ~ (e4 = e2)
% 20.76/5.36 |
% 20.76/5.36 | Simplifying 233 yields:
% 20.76/5.36 | (205) ~ (e4 = e2)
% 20.76/5.36 |
% 20.76/5.36 | From (437) and (89) follows:
% 20.76/5.36 | (1838) op(e3, e2) = e2
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (41), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (253) all_0_0_0 = e4
% 20.76/5.36 |
% 20.76/5.36 | Combining equations (253,326) yields a new equation:
% 20.76/5.36 | (657) e4 = e0
% 20.76/5.36 |
% 20.76/5.36 | Simplifying 657 yields:
% 20.76/5.36 | (327) e4 = e0
% 20.76/5.36 |
% 20.76/5.36 | Equations (327) can reduce 7 to:
% 20.76/5.36 | (267) $false
% 20.76/5.36 |
% 20.76/5.36 |-The branch is then unsatisfiable
% 20.76/5.36 |-Branch two:
% 20.76/5.36 | (1168) ~ (all_0_0_0 = e4)
% 20.76/5.36 | (1619) all_0_4_4 = e4 | all_0_13_13 = e4 | all_0_16_16 = e4
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (1619), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.36 | (427) all_0_4_4 = e4
% 20.76/5.36 |
% 20.76/5.36 | Equations (427) can reduce 204 to:
% 20.76/5.36 | (1964) ~ (all_0_16_16 = e4)
% 20.76/5.36 |
% 20.76/5.36 | Simplifying 1964 yields:
% 20.76/5.36 | (1965) ~ (all_0_16_16 = e4)
% 20.76/5.36 |
% 20.76/5.36 | From (427) and (179) follows:
% 20.76/5.36 | (1419) op(e3, e4) = e4
% 20.76/5.36 |
% 20.76/5.36 +-Applying beta-rule and splitting (76), into two cases.
% 20.76/5.36 |-Branch one:
% 20.76/5.37 | (1002) all_0_4_4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (1002,427) yields a new equation:
% 20.76/5.37 | (934) e4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (934) can reduce 217 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (742) ~ (all_0_4_4 = e1)
% 20.76/5.37 | (741) all_0_16_16 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (741) can reduce 69 to:
% 20.76/5.37 | (738) ~ (all_0_19_19 = e1)
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 738 yields:
% 20.76/5.37 | (739) ~ (all_0_19_19 = e1)
% 20.76/5.37 |
% 20.76/5.37 | Equations (741) can reduce 1965 to:
% 20.76/5.37 | (721) ~ (e4 = e1)
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 721 yields:
% 20.76/5.37 | (217) ~ (e4 = e1)
% 20.76/5.37 |
% 20.76/5.37 | Equations (741) can reduce 58 to:
% 20.76/5.37 | (743) ~ (e3 = e1)
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 743 yields:
% 20.76/5.37 | (133) ~ (e3 = e1)
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (73), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (367) all_0_19_19 = e2
% 20.76/5.37 |
% 20.76/5.37 | Equations (367) can reduce 48 to:
% 20.76/5.37 | (537) ~ (all_0_7_7 = e2)
% 20.76/5.37 |
% 20.76/5.37 | From (367) and (209) follows:
% 20.76/5.37 | (1259) op(e0, e1) = e2
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (175), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1002) all_0_4_4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (427,1002) yields a new equation:
% 20.76/5.37 | (1500) e4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 1500 yields:
% 20.76/5.37 | (934) e4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (934) can reduce 217 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (742) ~ (all_0_4_4 = e1)
% 20.76/5.37 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (56), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1385) all_0_7_7 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (1385) can reduce 537 to:
% 20.76/5.37 | (1005) ~ (e2 = e1)
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 1005 yields:
% 20.76/5.37 | (134) ~ (e2 = e1)
% 20.76/5.37 |
% 20.76/5.37 | Equations (1385) can reduce 4 to:
% 20.76/5.37 | (131) ~ (e1 = e0)
% 20.76/5.37 |
% 20.76/5.37 | From (1385) and (144) follows:
% 20.76/5.37 | (1388) op(e3, e1) = e1
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (54), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1420) unit = e2
% 20.76/5.37 |
% 20.76/5.37 | From (1420) and (52) follows:
% 20.76/5.37 | (1421) op(e2, e4) = e4
% 20.76/5.37 |
% 20.76/5.37 | From (1420) and (112) follows:
% 20.76/5.37 | (2453) op(e3, e2) = e3
% 20.76/5.37 |
% 20.76/5.37 | From (1420) and (146) follows:
% 20.76/5.37 | (1422) op(e1, e2) = e1
% 20.76/5.37 |
% 20.76/5.37 | From (1420) and (220) follows:
% 20.76/5.37 | (1423) op(e0, e2) = e0
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 20.76/5.37 | (483) e3 = e2
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 20.76/5.37 | (452) e4 = e3
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields:
% 20.76/5.37 | (833) e3 = e1
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields:
% 20.76/5.37 | (327) e4 = e0
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (452,327) yields a new equation:
% 20.76/5.37 | (1102) e3 = e0
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 1102 yields:
% 20.76/5.37 | (1103) e3 = e0
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (1103,483) yields a new equation:
% 20.76/5.37 | (353) e2 = e0
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (833,483) yields a new equation:
% 20.76/5.37 | (760) e2 = e1
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (760,353) yields a new equation:
% 20.76/5.37 | (1156) e1 = e0
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 1156 yields:
% 20.76/5.37 | (871) e1 = e0
% 20.76/5.37 |
% 20.76/5.37 | Equations (871) can reduce 131 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (1432) ~ (unit = e2)
% 20.76/5.37 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (1433), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1434) unit = e4
% 20.76/5.37 |
% 20.76/5.37 | From (1434) and (130) follows:
% 20.76/5.37 | (1435) op(e4, e1) = e1
% 20.76/5.37 |
% 20.76/5.37 | From (1434) and (42) follows:
% 20.76/5.37 | (1436) op(e4, e0) = e0
% 20.76/5.37 |
% 20.76/5.37 | From (1434) and (112) follows:
% 20.76/5.37 | (1437) op(e3, e4) = e3
% 20.76/5.37 |
% 20.76/5.37 | From (1434) and (169) follows:
% 20.76/5.37 | (1438) op(e2, e4) = e2
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields:
% 20.76/5.37 | (833) e3 = e1
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 20.76/5.37 | (327) e4 = e0
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 20.76/5.37 | (452) e4 = e3
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.76/5.37 | (483) e3 = e2
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (452,327) yields a new equation:
% 20.76/5.37 | (1102) e3 = e0
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 1102 yields:
% 20.76/5.37 | (1103) e3 = e0
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (1103,483) yields a new equation:
% 20.76/5.37 | (353) e2 = e0
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (833,483) yields a new equation:
% 20.76/5.37 | (760) e2 = e1
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (353,760) yields a new equation:
% 20.76/5.37 | (871) e1 = e0
% 20.76/5.37 |
% 20.76/5.37 | Equations (871) can reduce 131 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (1449) ~ (unit = e4)
% 20.76/5.37 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (1450), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1451) unit = e0
% 20.76/5.37 |
% 20.76/5.37 | Equations (1451) can reduce 564 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (564) ~ (unit = e0)
% 20.76/5.37 | (1454) unit = e3 | unit = e1
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (1454), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1455) unit = e3
% 20.76/5.37 |
% 20.76/5.37 | From (1455) and (199) follows:
% 20.76/5.37 | (1457) op(e4, e3) = e4
% 20.76/5.37 |
% 20.76/5.37 | From (1455) and (146) follows:
% 20.76/5.37 | (1458) op(e1, e3) = e1
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e4, e3, e4, e2 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e2, yields:
% 20.76/5.37 | (297) e4 = e2
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e1, e3, e1, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e1, yields:
% 20.76/5.37 | (934) e4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (297,934) yields a new equation:
% 20.76/5.37 | (759) e2 = e1
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 759 yields:
% 20.76/5.37 | (760) e2 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (760) can reduce 134 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (493) ~ (unit = e3)
% 20.76/5.37 | (1467) unit = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (1467) can reduce 564 to:
% 20.76/5.37 | (131) ~ (e1 = e0)
% 20.76/5.37 |
% 20.76/5.37 | From (1467) and (52) follows:
% 20.76/5.37 | (1469) op(e1, e4) = e4
% 20.76/5.37 |
% 20.76/5.37 | From (1467) and (71) follows:
% 20.76/5.37 | (1470) op(e1, e3) = e3
% 20.76/5.37 |
% 20.76/5.37 | From (1467) and (112) follows:
% 20.76/5.37 | (1471) op(e3, e1) = e3
% 20.76/5.37 |
% 20.76/5.37 | From (1467) and (220) follows:
% 20.76/5.37 | (1472) op(e0, e1) = e0
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 20.76/5.37 | (833) e3 = e1
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e1, e4, e4, e2 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e2, yields:
% 20.76/5.37 | (297) e4 = e2
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e1, e3, e3, e4 and discharging atoms op(e1, e3) = e4, op(e1, e3) = e3, yields:
% 20.76/5.37 | (452) e4 = e3
% 20.76/5.37 |
% 20.76/5.37 | Instantiating formula (178) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 20.76/5.37 | (353) e2 = e0
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (297,452) yields a new equation:
% 20.76/5.37 | (483) e3 = e2
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (483,833) yields a new equation:
% 20.76/5.37 | (759) e2 = e1
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 759 yields:
% 20.76/5.37 | (760) e2 = e1
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (760,353) yields a new equation:
% 20.76/5.37 | (1156) e1 = e0
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 1156 yields:
% 20.76/5.37 | (871) e1 = e0
% 20.76/5.37 |
% 20.76/5.37 | Equations (871) can reduce 131 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (1801) ~ (all_0_7_7 = e1)
% 20.76/5.37 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (1292), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (459) all_0_5_5 = e1
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (459,456) yields a new equation:
% 20.76/5.37 | (833) e3 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (833) can reduce 133 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (265) ~ (all_0_5_5 = e1)
% 20.76/5.37 | (1385) all_0_7_7 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (1385) can reduce 1801 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (274) ~ (all_0_19_19 = e2)
% 20.76/5.37 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (175), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1002) all_0_4_4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (1002,427) yields a new equation:
% 20.76/5.37 | (934) e4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (934) can reduce 217 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (742) ~ (all_0_4_4 = e1)
% 20.76/5.37 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (427) can reduce 742 to:
% 20.76/5.37 | (217) ~ (e4 = e1)
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (56), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1385) all_0_7_7 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (1385) can reduce 48 to:
% 20.76/5.37 | (738) ~ (all_0_19_19 = e1)
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 738 yields:
% 20.76/5.37 | (739) ~ (all_0_19_19 = e1)
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (1076), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (644) all_0_19_19 = e4
% 20.76/5.37 |
% 20.76/5.37 | Equations (644) can reduce 602 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (602) ~ (all_0_19_19 = e4)
% 20.76/5.37 | (1080) all_0_19_19 = e3 | all_0_19_19 = e1
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (1080), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1081) all_0_19_19 = e3
% 20.76/5.37 |
% 20.76/5.37 | Equations (1081) can reduce 968 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (968) ~ (all_0_19_19 = e3)
% 20.76/5.37 | (916) all_0_19_19 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (916) can reduce 739 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (1801) ~ (all_0_7_7 = e1)
% 20.76/5.37 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (1802), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (309) all_0_11_11 = e1
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (306,309) yields a new equation:
% 20.76/5.37 | (1500) e4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Simplifying 1500 yields:
% 20.76/5.37 | (934) e4 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (934) can reduce 217 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (1387) ~ (all_0_11_11 = e1)
% 20.76/5.37 | (916) all_0_19_19 = e1
% 20.76/5.37 |
% 20.76/5.37 | Equations (916) can reduce 739 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (261) ~ (all_0_4_4 = e4)
% 20.76/5.37 | (1624) all_0_13_13 = e4 | all_0_16_16 = e4
% 20.76/5.37 |
% 20.76/5.37 +-Applying beta-rule and splitting (1624), into two cases.
% 20.76/5.37 |-Branch one:
% 20.76/5.37 | (1625) all_0_13_13 = e4
% 20.76/5.37 |
% 20.76/5.37 | Combining equations (239,1625) yields a new equation:
% 20.76/5.37 | (297) e4 = e2
% 20.76/5.37 |
% 20.76/5.37 | Equations (297) can reduce 205 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (1628) ~ (all_0_13_13 = e4)
% 20.76/5.37 | (1629) all_0_16_16 = e4
% 20.76/5.37 |
% 20.76/5.37 | Equations (1629) can reduce 1965 to:
% 20.76/5.37 | (267) $false
% 20.76/5.37 |
% 20.76/5.37 |-The branch is then unsatisfiable
% 20.76/5.37 |-Branch two:
% 20.76/5.37 | (223) ~ (all_0_6_6 = e2)
% 20.76/5.38 | (4338) all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (180), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (437) all_0_6_6 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (437) can reduce 223 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (223) ~ (all_0_6_6 = e2)
% 20.76/5.38 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (440), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (431) all_0_6_6 = e4
% 20.76/5.38 |
% 20.76/5.38 | Equations (431) can reduce 400 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (400) ~ (all_0_6_6 = e4)
% 20.76/5.38 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (444), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (411) all_0_6_6 = e0
% 20.76/5.38 |
% 20.76/5.38 | Equations (411) can reduce 408 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (408) ~ (all_0_6_6 = e0)
% 20.76/5.38 | (448) all_0_6_6 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (448) can reduce 426 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (514) ~ (all_0_14_14 = e4)
% 20.76/5.38 | (391) all_0_14_14 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (391) can reduce 464 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (303) ~ (all_0_11_11 = e4)
% 20.76/5.38 | (301) all_0_12_12 = e4
% 20.76/5.38 |
% 20.76/5.38 | Combining equations (374,301) yields a new equation:
% 20.76/5.38 | (297) e4 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (297) can reduce 205 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (392) ~ (all_0_5_5 = e3)
% 20.76/5.38 | (459) all_0_5_5 = e1
% 20.76/5.38 |
% 20.76/5.38 | Equations (459) can reduce 265 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (310) ~ (all_0_9_9 = e1)
% 20.76/5.38 | (913) all_0_17_17 = e1
% 20.76/5.38 |
% 20.76/5.38 | Combining equations (351,913) yields a new equation:
% 20.76/5.38 | (871) e1 = e0
% 20.76/5.38 |
% 20.76/5.38 | Equations (871) can reduce 131 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (1185) ~ (all_0_8_8 = e0)
% 20.76/5.38 | (425) all_0_8_8 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (425) can reduce 724 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (459) all_0_5_5 = e1
% 20.76/5.38 | (713) all_0_7_7 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (713) can reduce 1269 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (496) ~ (all_0_2_2 = e3)
% 20.76/5.38 | (672) all_0_3_3 = e3
% 20.76/5.38 |
% 20.76/5.38 | Combining equations (292,672) yields a new equation:
% 20.76/5.38 | (620) e4 = e3
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 620 yields:
% 20.76/5.38 | (452) e4 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (452) can reduce 24 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (520) ~ (all_0_1_1 = e2)
% 20.76/5.38 | (543) all_0_2_2 = e2 | all_0_3_3 = e2
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (152), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (540) all_0_1_1 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (540) can reduce 520 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (520) ~ (all_0_1_1 = e2)
% 20.76/5.38 | (1048) all_0_5_5 = e2 | all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (1048), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (402) all_0_5_5 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (402) can reduce 238 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (238) ~ (all_0_5_5 = e2)
% 20.76/5.38 | (1052) all_0_9_9 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (60), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (540) all_0_1_1 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (540) can reduce 520 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (520) ~ (all_0_1_1 = e2)
% 20.76/5.38 | (2007) all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e0
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (1052), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (311) all_0_9_9 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (311) can reduce 224 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (224) ~ (all_0_9_9 = e2)
% 20.76/5.38 | (1058) all_0_14_14 = e2 | all_0_17_17 = e2
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (2007), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (790) all_0_1_1 = e4
% 20.76/5.38 |
% 20.76/5.38 | Equations (790) can reduce 255 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (255) ~ (all_0_1_1 = e4)
% 20.76/5.38 | (2020) all_0_1_1 = e3 | all_0_1_1 = e0
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (543), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (270) all_0_2_2 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (270) can reduce 9 to:
% 20.76/5.38 | (2862) ~ (all_0_7_7 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 2862 yields:
% 20.76/5.38 | (537) ~ (all_0_7_7 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Equations (270) can reduce 132 to:
% 20.76/5.38 | (225) ~ (all_0_11_11 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 225 yields:
% 20.76/5.38 | (226) ~ (all_0_11_11 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Equations (270) can reduce 257 to:
% 20.76/5.38 | (233) ~ (e4 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 233 yields:
% 20.76/5.38 | (205) ~ (e4 = e2)
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (218), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (1059) all_0_4_4 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (1059) can reduce 240 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (240) ~ (all_0_4_4 = e2)
% 20.76/5.38 | (1063) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (1063), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (402) all_0_5_5 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (402) can reduce 238 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (238) ~ (all_0_5_5 = e2)
% 20.76/5.38 | (1118) all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (1118), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (437) all_0_6_6 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (437) can reduce 151 to:
% 20.76/5.38 | (229) ~ (all_0_15_15 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 229 yields:
% 20.76/5.38 | (230) ~ (all_0_15_15 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Equations (437) can reduce 408 to:
% 20.76/5.38 | (45) ~ (e2 = e0)
% 20.76/5.38 |
% 20.76/5.38 | From (437) and (89) follows:
% 20.76/5.38 | (1838) op(e3, e2) = e2
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (2020), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (331) all_0_1_1 = e0
% 20.76/5.38 |
% 20.76/5.38 | Equations (331) can reduce 320 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (320) ~ (all_0_1_1 = e0)
% 20.76/5.38 | (804) all_0_1_1 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (804) can reduce 136 to:
% 20.76/5.38 | (1272) ~ (all_0_14_14 = e3)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 1272 yields:
% 20.76/5.38 | (464) ~ (all_0_14_14 = e3)
% 20.76/5.38 |
% 20.76/5.38 | Equations (804) can reduce 320 to:
% 20.76/5.38 | (61) ~ (e3 = e0)
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (1058), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (387) all_0_14_14 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (387) can reduce 242 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (242) ~ (all_0_14_14 = e2)
% 20.76/5.38 | (288) all_0_17_17 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (288) can reduce 104 to:
% 20.76/5.38 | (242) ~ (all_0_14_14 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Equations (288) can reduce 137 to:
% 20.76/5.38 | (231) ~ (all_0_18_18 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 231 yields:
% 20.76/5.38 | (232) ~ (all_0_18_18 = e2)
% 20.76/5.38 |
% 20.76/5.38 | From (288) and (14) follows:
% 20.76/5.38 | (2913) op(e0, e3) = e2
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (31), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (331) all_0_1_1 = e0
% 20.76/5.38 |
% 20.76/5.38 | Combining equations (331,804) yields a new equation:
% 20.76/5.38 | (1103) e3 = e0
% 20.76/5.38 |
% 20.76/5.38 | Equations (1103) can reduce 61 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (320) ~ (all_0_1_1 = e0)
% 20.76/5.38 | (869) all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (869), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (406) all_0_5_5 = e0
% 20.76/5.38 |
% 20.76/5.38 | Equations (406) can reduce 55 to:
% 20.76/5.38 | (2301) ~ (all_0_7_7 = e0)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 2301 yields:
% 20.76/5.38 | (4) ~ (all_0_7_7 = e0)
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (188), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (387) all_0_14_14 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (387) can reduce 242 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (242) ~ (all_0_14_14 = e2)
% 20.76/5.38 | (390) all_0_14_14 = e4 | all_0_14_14 = e3
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (200), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (422) ~ (all_0_5_5 = e0)
% 20.76/5.38 |
% 20.76/5.38 | Equations (406) can reduce 422 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (406) all_0_5_5 = e0
% 20.76/5.38 | (425) all_0_8_8 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (425) can reduce 93 to:
% 20.76/5.38 | (28) ~ (all_0_4_4 = e3)
% 20.76/5.38 |
% 20.76/5.38 | Equations (425) can reduce 49 to:
% 20.76/5.38 | (1269) ~ (all_0_7_7 = e3)
% 20.76/5.38 |
% 20.76/5.38 | Equations (425) can reduce 299 to:
% 20.76/5.38 | (807) ~ (e4 = e3)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 807 yields:
% 20.76/5.38 | (24) ~ (e4 = e3)
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (91), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (391) all_0_14_14 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (391) can reduce 464 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (464) ~ (all_0_14_14 = e3)
% 20.76/5.38 | (462) all_0_15_15 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (462) can reduce 230 to:
% 20.76/5.38 | (191) ~ (e3 = e2)
% 20.76/5.38 |
% 20.76/5.38 | From (462) and (83) follows:
% 20.76/5.38 | (1284) op(e1, e2) = e3
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (32), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (384) all_0_2_2 = e3
% 20.76/5.38 |
% 20.76/5.38 | Combining equations (384,270) yields a new equation:
% 20.76/5.38 | (545) e3 = e2
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 545 yields:
% 20.76/5.38 | (483) e3 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (483) can reduce 191 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (496) ~ (all_0_2_2 = e3)
% 20.76/5.38 | (2994) all_0_7_7 = e3 | all_0_19_19 = e3
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (2994), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (713) all_0_7_7 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (713) can reduce 1269 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (1269) ~ (all_0_7_7 = e3)
% 20.76/5.38 | (1081) all_0_19_19 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (1081) can reduce 219 to:
% 20.76/5.38 | (203) ~ (all_0_11_11 = e3)
% 20.76/5.38 |
% 20.76/5.38 | Equations (1081) can reduce 154 to:
% 20.76/5.38 | (468) ~ (all_0_18_18 = e3)
% 20.76/5.38 |
% 20.76/5.38 | From (1081) and (209) follows:
% 20.76/5.38 | (2259) op(e0, e1) = e3
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (97), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (1625) all_0_13_13 = e4
% 20.76/5.38 |
% 20.76/5.38 | Combining equations (239,1625) yields a new equation:
% 20.76/5.38 | (297) e4 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (297) can reduce 205 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (1628) ~ (all_0_13_13 = e4)
% 20.76/5.38 | (2987) all_0_14_14 = e4 | all_0_15_15 = e4
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (2987), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (470) all_0_14_14 = e4
% 20.76/5.38 |
% 20.76/5.38 | Equations (470) can reduce 210 to:
% 20.76/5.38 | (302) ~ (all_0_9_9 = e4)
% 20.76/5.38 |
% 20.76/5.38 | Equations (470) can reduce 242 to:
% 20.76/5.38 | (205) ~ (e4 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Equations (470) can reduce 181 to:
% 20.76/5.38 | (217) ~ (e4 = e1)
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (12), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (315) all_0_9_9 = e4
% 20.76/5.38 |
% 20.76/5.38 | Equations (315) can reduce 302 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (302) ~ (all_0_9_9 = e4)
% 20.76/5.38 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (1401), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (306) all_0_11_11 = e4
% 20.76/5.38 |
% 20.76/5.38 | Equations (306) can reduce 171 to:
% 20.76/5.38 | (450) ~ (all_0_7_7 = e4)
% 20.76/5.38 |
% 20.76/5.38 | Equations (306) can reduce 203 to:
% 20.76/5.38 | (24) ~ (e4 = e3)
% 20.76/5.38 |
% 20.76/5.38 | Equations (306) can reduce 226 to:
% 20.76/5.38 | (205) ~ (e4 = e2)
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (147), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (431) all_0_6_6 = e4
% 20.76/5.38 |
% 20.76/5.38 | Combining equations (437,431) yields a new equation:
% 20.76/5.38 | (297) e4 = e2
% 20.76/5.38 |
% 20.76/5.38 | Equations (297) can reduce 205 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (400) ~ (all_0_6_6 = e4)
% 20.76/5.38 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (63), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (356) all_0_9_9 = e1
% 20.76/5.38 |
% 20.76/5.38 | From (356) and (164) follows:
% 20.76/5.38 | (3367) op(e2, e3) = e1
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (1397), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (399) all_0_15_15 = e4
% 20.76/5.38 |
% 20.76/5.38 | Combining equations (462,399) yields a new equation:
% 20.76/5.38 | (452) e4 = e3
% 20.76/5.38 |
% 20.76/5.38 | Equations (452) can reduce 24 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (461) ~ (all_0_15_15 = e4)
% 20.76/5.38 | (599) all_0_18_18 = e4
% 20.76/5.38 |
% 20.76/5.38 | Equations (599) can reduce 468 to:
% 20.76/5.38 | (24) ~ (e4 = e3)
% 20.76/5.38 |
% 20.76/5.38 | Equations (599) can reduce 232 to:
% 20.76/5.38 | (205) ~ (e4 = e2)
% 20.76/5.38 |
% 20.76/5.38 | Equations (599) can reduce 17 to:
% 20.76/5.38 | (217) ~ (e4 = e1)
% 20.76/5.38 |
% 20.76/5.38 | From (599) and (142) follows:
% 20.76/5.38 | (1408) op(e0, e2) = e4
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (129), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (427) all_0_4_4 = e4
% 20.76/5.38 |
% 20.76/5.38 | Equations (427) can reduce 204 to:
% 20.76/5.38 | (1964) ~ (all_0_16_16 = e4)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 1964 yields:
% 20.76/5.38 | (1965) ~ (all_0_16_16 = e4)
% 20.76/5.38 |
% 20.76/5.38 | Equations (427) can reduce 28 to:
% 20.76/5.38 | (24) ~ (e4 = e3)
% 20.76/5.38 |
% 20.76/5.38 | From (427) and (179) follows:
% 20.76/5.38 | (1419) op(e3, e4) = e4
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (76), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (1002) all_0_4_4 = e1
% 20.76/5.38 |
% 20.76/5.38 | Combining equations (1002,427) yields a new equation:
% 20.76/5.38 | (934) e4 = e1
% 20.76/5.38 |
% 20.76/5.38 | Equations (934) can reduce 217 to:
% 20.76/5.38 | (267) $false
% 20.76/5.38 |
% 20.76/5.38 |-The branch is then unsatisfiable
% 20.76/5.38 |-Branch two:
% 20.76/5.38 | (742) ~ (all_0_4_4 = e1)
% 20.76/5.38 | (741) all_0_16_16 = e1
% 20.76/5.38 |
% 20.76/5.38 | Equations (741) can reduce 1965 to:
% 20.76/5.38 | (721) ~ (e4 = e1)
% 20.76/5.38 |
% 20.76/5.38 | Simplifying 721 yields:
% 20.76/5.38 | (217) ~ (e4 = e1)
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (75), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 20.76/5.38 |
% 20.76/5.38 +-Applying beta-rule and splitting (472), into two cases.
% 20.76/5.38 |-Branch one:
% 20.76/5.38 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 20.76/5.39 |
% 20.76/5.39 +-Applying beta-rule and splitting (473), into two cases.
% 20.76/5.39 |-Branch one:
% 20.76/5.39 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 20.76/5.39 |
% 20.76/5.39 +-Applying beta-rule and splitting (474), into two cases.
% 20.76/5.39 |-Branch one:
% 20.76/5.39 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 20.76/5.39 |
% 20.76/5.39 | Applying alpha-rule on (475) yields:
% 20.76/5.39 | (270) all_0_2_2 = e2
% 20.76/5.39 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 20.76/5.39 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 20.76/5.39 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 20.76/5.39 | (310) ~ (all_0_9_9 = e1)
% 20.76/5.39 | (481) ~ (unit = e1)
% 20.76/5.39 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 20.76/5.39 |
% 20.76/5.39 | Equations (356) can reduce 310 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 20.76/5.39 |
% 20.76/5.39 | Applying alpha-rule on (485) yields:
% 20.76/5.39 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 20.76/5.39 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 20.76/5.39 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 20.76/5.39 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 20.76/5.39 | (315) all_0_9_9 = e4
% 20.76/5.39 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 20.76/5.39 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 20.76/5.39 | (493) ~ (unit = e3)
% 20.76/5.39 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 20.76/5.39 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 20.76/5.39 | (496) ~ (all_0_2_2 = e3)
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (315,356) yields a new equation:
% 20.76/5.39 | (1500) e4 = e1
% 20.76/5.39 |
% 20.76/5.39 | Simplifying 1500 yields:
% 20.76/5.39 | (934) e4 = e1
% 20.76/5.39 |
% 20.76/5.39 | Equations (934) can reduce 217 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 20.76/5.39 |
% 20.76/5.39 | Applying alpha-rule on (498) yields:
% 20.76/5.39 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 20.76/5.39 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 20.76/5.39 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 20.76/5.39 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 20.76/5.39 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 20.76/5.39 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 20.76/5.39 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 20.76/5.39 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 20.76/5.39 | (358) ~ (all_0_12_12 = e4)
% 20.76/5.39 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 20.76/5.39 | (255) ~ (all_0_1_1 = e4)
% 20.76/5.39 | (510) ~ (all_0_17_17 = e4)
% 20.76/5.39 | (257) ~ (all_0_2_2 = e4)
% 20.76/5.39 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 20.76/5.39 | (303) ~ (all_0_11_11 = e4)
% 20.76/5.39 | (514) ~ (all_0_14_14 = e4)
% 20.76/5.39 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 20.76/5.39 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 20.76/5.39 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 20.76/5.39 |
% 20.76/5.39 | Equations (470) can reduce 514 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 20.76/5.39 |
% 20.76/5.39 | Applying alpha-rule on (519) yields:
% 20.76/5.39 | (520) ~ (all_0_1_1 = e2)
% 20.76/5.39 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 20.76/5.39 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 20.76/5.39 | (226) ~ (all_0_11_11 = e2)
% 20.76/5.39 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 20.76/5.39 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 20.76/5.39 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 20.76/5.39 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 20.76/5.39 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 20.76/5.39 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 20.76/5.39 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 20.76/5.39 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 20.76/5.39 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 20.76/5.39 | (272) ~ (all_0_3_3 = e2)
% 20.76/5.39 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 20.76/5.39 | (274) ~ (all_0_19_19 = e2)
% 20.76/5.39 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 20.76/5.39 | (537) ~ (all_0_7_7 = e2)
% 20.76/5.39 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 20.76/5.39 | (224) ~ (all_0_9_9 = e2)
% 20.76/5.39 |
% 20.76/5.39 +-Applying beta-rule and splitting (522), into two cases.
% 20.76/5.39 |-Branch one:
% 20.76/5.39 | (361) ~ (all_0_17_17 = e2)
% 20.76/5.39 |
% 20.76/5.39 | Equations (288) can reduce 361 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (288) all_0_17_17 = e2
% 20.76/5.39 | (3322) all_0_18_18 = e3 & ~ (unit = e2)
% 20.76/5.39 |
% 20.76/5.39 | Applying alpha-rule on (3322) yields:
% 20.76/5.39 | (679) all_0_18_18 = e3
% 20.76/5.39 | (1432) ~ (unit = e2)
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (599,679) yields a new equation:
% 20.76/5.39 | (620) e4 = e3
% 20.76/5.39 |
% 20.76/5.39 | Simplifying 620 yields:
% 20.76/5.39 | (452) e4 = e3
% 20.76/5.39 |
% 20.76/5.39 | Equations (452) can reduce 24 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 20.76/5.39 |
% 20.76/5.39 | Applying alpha-rule on (558) yields:
% 20.76/5.39 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 20.76/5.39 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 20.76/5.39 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 20.76/5.39 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 20.76/5.39 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 20.76/5.39 | (564) ~ (unit = e0)
% 20.76/5.39 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 20.76/5.39 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 20.76/5.39 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 20.76/5.39 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 20.76/5.39 | (355) ~ (all_0_9_9 = e0)
% 20.76/5.39 |
% 20.76/5.39 | Equations (356) can reduce 355 to:
% 20.76/5.39 | (131) ~ (e1 = e0)
% 20.76/5.39 |
% 20.76/5.39 +-Applying beta-rule and splitting (175), into two cases.
% 20.76/5.39 |-Branch one:
% 20.76/5.39 | (1002) all_0_4_4 = e1
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (1002,427) yields a new equation:
% 20.76/5.39 | (934) e4 = e1
% 20.76/5.39 |
% 20.76/5.39 | Equations (934) can reduce 217 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (742) ~ (all_0_4_4 = e1)
% 20.76/5.39 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 20.76/5.39 |
% 20.76/5.39 +-Applying beta-rule and splitting (1292), into two cases.
% 20.76/5.39 |-Branch one:
% 20.76/5.39 | (459) all_0_5_5 = e1
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (406,459) yields a new equation:
% 20.76/5.39 | (871) e1 = e0
% 20.76/5.39 |
% 20.76/5.39 | Equations (871) can reduce 131 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (265) ~ (all_0_5_5 = e1)
% 20.76/5.39 | (1385) all_0_7_7 = e1
% 20.76/5.39 |
% 20.76/5.39 | Equations (1385) can reduce 4 to:
% 20.76/5.39 | (131) ~ (e1 = e0)
% 20.76/5.39 |
% 20.76/5.39 | From (1385) and (144) follows:
% 20.76/5.39 | (1388) op(e3, e1) = e1
% 20.76/5.39 |
% 20.76/5.39 +-Applying beta-rule and splitting (54), into two cases.
% 20.76/5.39 |-Branch one:
% 20.76/5.39 | (1420) unit = e2
% 20.76/5.39 |
% 20.76/5.39 | From (1420) and (52) follows:
% 20.76/5.39 | (1421) op(e2, e4) = e4
% 20.76/5.39 |
% 20.76/5.39 | From (1420) and (112) follows:
% 20.76/5.39 | (2453) op(e3, e2) = e3
% 20.76/5.39 |
% 20.76/5.39 | From (1420) and (146) follows:
% 20.76/5.39 | (1422) op(e1, e2) = e1
% 20.76/5.39 |
% 20.76/5.39 | From (1420) and (220) follows:
% 20.76/5.39 | (1423) op(e0, e2) = e0
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 20.76/5.39 | (483) e3 = e2
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e2, e4, e4, e3 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e3, yields:
% 20.76/5.39 | (452) e4 = e3
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields:
% 20.76/5.39 | (833) e3 = e1
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields:
% 20.76/5.39 | (327) e4 = e0
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (452,327) yields a new equation:
% 20.76/5.39 | (1102) e3 = e0
% 20.76/5.39 |
% 20.76/5.39 | Simplifying 1102 yields:
% 20.76/5.39 | (1103) e3 = e0
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (1103,483) yields a new equation:
% 20.76/5.39 | (353) e2 = e0
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (833,483) yields a new equation:
% 20.76/5.39 | (760) e2 = e1
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (760,353) yields a new equation:
% 20.76/5.39 | (1156) e1 = e0
% 20.76/5.39 |
% 20.76/5.39 | Simplifying 1156 yields:
% 20.76/5.39 | (871) e1 = e0
% 20.76/5.39 |
% 20.76/5.39 | Equations (871) can reduce 131 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (1432) ~ (unit = e2)
% 20.76/5.39 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.76/5.39 |
% 20.76/5.39 +-Applying beta-rule and splitting (1433), into two cases.
% 20.76/5.39 |-Branch one:
% 20.76/5.39 | (1434) unit = e4
% 20.76/5.39 |
% 20.76/5.39 | From (1434) and (42) follows:
% 20.76/5.39 | (1436) op(e4, e0) = e0
% 20.76/5.39 |
% 20.76/5.39 | From (1434) and (112) follows:
% 20.76/5.39 | (1437) op(e3, e4) = e3
% 20.76/5.39 |
% 20.76/5.39 | From (1434) and (169) follows:
% 20.76/5.39 | (1438) op(e2, e4) = e2
% 20.76/5.39 |
% 20.76/5.39 | From (1434) and (146) follows:
% 20.76/5.39 | (2338) op(e1, e4) = e1
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 20.76/5.39 | (327) e4 = e0
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 20.76/5.39 | (452) e4 = e3
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.76/5.39 | (483) e3 = e2
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields:
% 20.76/5.39 | (760) e2 = e1
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (452,327) yields a new equation:
% 20.76/5.39 | (1102) e3 = e0
% 20.76/5.39 |
% 20.76/5.39 | Simplifying 1102 yields:
% 20.76/5.39 | (1103) e3 = e0
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (1103,483) yields a new equation:
% 20.76/5.39 | (353) e2 = e0
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (353,760) yields a new equation:
% 20.76/5.39 | (871) e1 = e0
% 20.76/5.39 |
% 20.76/5.39 | Equations (871) can reduce 131 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (1449) ~ (unit = e4)
% 20.76/5.39 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.76/5.39 |
% 20.76/5.39 +-Applying beta-rule and splitting (1450), into two cases.
% 20.76/5.39 |-Branch one:
% 20.76/5.39 | (1451) unit = e0
% 20.76/5.39 |
% 20.76/5.39 | Equations (1451) can reduce 564 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (564) ~ (unit = e0)
% 20.76/5.39 | (1454) unit = e3 | unit = e1
% 20.76/5.39 |
% 20.76/5.39 +-Applying beta-rule and splitting (1454), into two cases.
% 20.76/5.39 |-Branch one:
% 20.76/5.39 | (1455) unit = e3
% 20.76/5.39 |
% 20.76/5.39 | From (1455) and (169) follows:
% 20.76/5.39 | (3089) op(e2, e3) = e2
% 20.76/5.39 |
% 20.76/5.39 | From (1455) and (220) follows:
% 20.76/5.39 | (2357) op(e0, e3) = e0
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 20.76/5.39 | (760) e2 = e1
% 20.76/5.39 |
% 20.76/5.39 | Instantiating formula (178) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields:
% 20.76/5.39 | (353) e2 = e0
% 20.76/5.39 |
% 20.76/5.39 | Combining equations (353,760) yields a new equation:
% 20.76/5.39 | (871) e1 = e0
% 20.76/5.39 |
% 20.76/5.39 | Equations (871) can reduce 131 to:
% 20.76/5.39 | (267) $false
% 20.76/5.39 |
% 20.76/5.39 |-The branch is then unsatisfiable
% 20.76/5.39 |-Branch two:
% 20.76/5.39 | (493) ~ (unit = e3)
% 20.76/5.39 | (1467) unit = e1
% 20.76/5.39 |
% 20.76/5.39 | Equations (1467) can reduce 564 to:
% 20.76/5.39 | (131) ~ (e1 = e0)
% 20.76/5.39 |
% 20.76/5.39 | From (1467) and (112) follows:
% 20.76/5.39 | (1471) op(e3, e1) = e3
% 20.76/5.39 |
% 20.76/5.39 | From (1467) and (220) follows:
% 20.76/5.40 | (1472) op(e0, e1) = e0
% 20.76/5.40 |
% 20.76/5.40 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 20.76/5.40 | (833) e3 = e1
% 20.76/5.40 |
% 20.76/5.40 | Instantiating formula (178) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 20.76/5.40 | (1103) e3 = e0
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (833,1103) yields a new equation:
% 20.76/5.40 | (1156) e1 = e0
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 1156 yields:
% 20.76/5.40 | (871) e1 = e0
% 20.76/5.40 |
% 20.76/5.40 | Equations (871) can reduce 131 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (261) ~ (all_0_4_4 = e4)
% 20.76/5.40 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (430), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (431) all_0_6_6 = e4
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (437,431) yields a new equation:
% 20.76/5.40 | (297) e4 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (297) can reduce 205 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (400) ~ (all_0_6_6 = e4)
% 20.76/5.40 | (434) all_0_7_7 = e4 | all_0_8_8 = e4
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (434), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (435) all_0_7_7 = e4
% 20.76/5.40 |
% 20.76/5.40 | Equations (435) can reduce 450 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (450) ~ (all_0_7_7 = e4)
% 20.76/5.40 | (296) all_0_8_8 = e4
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (425,296) yields a new equation:
% 20.76/5.40 | (452) e4 = e3
% 20.76/5.40 |
% 20.76/5.40 | Equations (452) can reduce 24 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (310) ~ (all_0_9_9 = e1)
% 20.76/5.40 | (309) all_0_11_11 = e1
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (306,309) yields a new equation:
% 20.76/5.40 | (1500) e4 = e1
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 1500 yields:
% 20.76/5.40 | (934) e4 = e1
% 20.76/5.40 |
% 20.76/5.40 | Equations (934) can reduce 217 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (303) ~ (all_0_11_11 = e4)
% 20.76/5.40 | (301) all_0_12_12 = e4
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (374,301) yields a new equation:
% 20.76/5.40 | (297) e4 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (297) can reduce 205 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (514) ~ (all_0_14_14 = e4)
% 20.76/5.40 | (399) all_0_15_15 = e4
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (462,399) yields a new equation:
% 20.76/5.40 | (452) e4 = e3
% 20.76/5.40 |
% 20.76/5.40 | Equations (452) can reduce 24 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (422) ~ (all_0_5_5 = e0)
% 20.76/5.40 | (874) all_0_9_9 = e0 | all_0_17_17 = e0
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (874), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (319) all_0_9_9 = e0
% 20.76/5.40 |
% 20.76/5.40 | Equations (319) can reduce 355 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (355) ~ (all_0_9_9 = e0)
% 20.76/5.40 | (351) all_0_17_17 = e0
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (351,288) yields a new equation:
% 20.76/5.40 | (353) e2 = e0
% 20.76/5.40 |
% 20.76/5.40 | Equations (353) can reduce 45 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (223) ~ (all_0_6_6 = e2)
% 20.76/5.40 | (1124) all_0_7_7 = e2 | all_0_8_8 = e2
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (1124), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (1125) all_0_7_7 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (1125) can reduce 537 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (537) ~ (all_0_7_7 = e2)
% 20.76/5.40 | (281) all_0_8_8 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (281) can reduce 372 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (379) ~ (all_0_2_2 = e2)
% 20.76/5.40 | (277) all_0_3_3 = e2
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (277,292) yields a new equation:
% 20.76/5.40 | (297) e4 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (297) can reduce 205 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (402) all_0_5_5 = e2
% 20.76/5.40 | (448) all_0_6_6 = e3
% 20.76/5.40 |
% 20.76/5.40 | Equations (402) can reduce 118 to:
% 20.76/5.40 | (520) ~ (all_0_1_1 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Equations (448) can reduce 99 to:
% 20.76/5.40 | (28) ~ (all_0_4_4 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (402) can reduce 66 to:
% 20.76/5.40 | (2102) ~ (all_0_8_8 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 2102 yields:
% 20.76/5.40 | (372) ~ (all_0_8_8 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Equations (448) can reduce 23 to:
% 20.76/5.40 | (1268) ~ (all_0_7_7 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 1268 yields:
% 20.76/5.40 | (1269) ~ (all_0_7_7 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (448) can reduce 151 to:
% 20.76/5.40 | (393) ~ (all_0_15_15 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 393 yields:
% 20.76/5.40 | (394) ~ (all_0_15_15 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (448) can reduce 155 to:
% 20.76/5.40 | (467) ~ (all_0_18_18 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 467 yields:
% 20.76/5.40 | (468) ~ (all_0_18_18 = e3)
% 20.76/5.40 |
% 20.76/5.40 | From (448) and (89) follows:
% 20.76/5.40 | (2453) op(e3, e2) = e3
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (91), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (391) all_0_14_14 = e3
% 20.76/5.40 |
% 20.76/5.40 | Equations (391) can reduce 136 to:
% 20.76/5.40 | (829) ~ (all_0_1_1 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (391) can reduce 210 to:
% 20.76/5.40 | (124) ~ (all_0_9_9 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (391) can reduce 38 to:
% 20.76/5.40 | (393) ~ (all_0_15_15 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 393 yields:
% 20.76/5.40 | (394) ~ (all_0_15_15 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (391) can reduce 186 to:
% 20.76/5.40 | (61) ~ (e3 = e0)
% 20.76/5.40 |
% 20.76/5.40 | From (391) and (117) follows:
% 20.76/5.40 | (1470) op(e1, e3) = e3
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (196), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (395) all_0_15_15 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (395) can reduce 230 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (230) ~ (all_0_15_15 = e2)
% 20.76/5.40 | (398) all_0_15_15 = e4 | all_0_15_15 = e3
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (398), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (399) all_0_15_15 = e4
% 20.76/5.40 |
% 20.76/5.40 | Equations (399) can reduce 59 to:
% 20.76/5.40 | (4119) ~ (all_0_18_18 = e4)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 4119 yields:
% 20.76/5.40 | (674) ~ (all_0_18_18 = e4)
% 20.76/5.40 |
% 20.76/5.40 | Equations (399) can reduce 394 to:
% 20.76/5.40 | (24) ~ (e4 = e3)
% 20.76/5.40 |
% 20.76/5.40 | From (399) and (83) follows:
% 20.76/5.40 | (2480) op(e1, e2) = e4
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (213), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (363) all_0_18_18 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (363) can reduce 161 to:
% 20.76/5.40 | (246) ~ (all_0_16_16 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Equations (363) can reduce 18 to:
% 20.76/5.40 | (282) ~ (all_0_20_20 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 282 yields:
% 20.76/5.40 | (251) ~ (all_0_20_20 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Equations (363) can reduce 468 to:
% 20.76/5.40 | (235) ~ (e3 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 235 yields:
% 20.76/5.40 | (191) ~ (e3 = e2)
% 20.76/5.40 |
% 20.76/5.40 | From (363) and (142) follows:
% 20.76/5.40 | (3075) op(e0, e2) = e2
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (101), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (270) all_0_2_2 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (270) can reduce 51 to:
% 20.76/5.40 | (72) ~ (all_0_0_0 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Equations (270) can reduce 208 to:
% 20.76/5.40 | (271) ~ (all_0_3_3 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 271 yields:
% 20.76/5.40 | (272) ~ (all_0_3_3 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Equations (270) can reduce 9 to:
% 20.76/5.40 | (2862) ~ (all_0_7_7 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 2862 yields:
% 20.76/5.40 | (537) ~ (all_0_7_7 = e2)
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (122), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (804) all_0_1_1 = e3
% 20.76/5.40 |
% 20.76/5.40 | Equations (804) can reduce 829 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (829) ~ (all_0_1_1 = e3)
% 20.76/5.40 | (1647) all_0_2_2 = e3 | all_0_3_3 = e3
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (1647), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (384) all_0_2_2 = e3
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (384,270) yields a new equation:
% 20.76/5.40 | (545) e3 = e2
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 545 yields:
% 20.76/5.40 | (483) e3 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (483) can reduce 191 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (496) ~ (all_0_2_2 = e3)
% 20.76/5.40 | (672) all_0_3_3 = e3
% 20.76/5.40 |
% 20.76/5.40 | Equations (672) can reduce 156 to:
% 20.76/5.40 | (33) ~ (all_0_0_0 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (672) can reduce 8 to:
% 20.76/5.40 | (723) ~ (all_0_8_8 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 723 yields:
% 20.76/5.40 | (724) ~ (all_0_8_8 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (672) can reduce 272 to:
% 20.76/5.40 | (191) ~ (e3 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Equations (672) can reduce 182 to:
% 20.76/5.40 | (133) ~ (e3 = e1)
% 20.76/5.40 |
% 20.76/5.40 | From (672) and (46) follows:
% 20.76/5.40 | (7086) op(e4, e0) = e3
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (47), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (252) ~ (all_0_0_0 = e0)
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (121), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (253) all_0_0_0 = e4
% 20.76/5.40 |
% 20.76/5.40 | Equations (253) can reduce 149 to:
% 20.76/5.40 | (1964) ~ (all_0_16_16 = e4)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 1964 yields:
% 20.76/5.40 | (1965) ~ (all_0_16_16 = e4)
% 20.76/5.40 |
% 20.76/5.40 | Equations (253) can reduce 33 to:
% 20.76/5.40 | (24) ~ (e4 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (253) can reduce 72 to:
% 20.76/5.40 | (205) ~ (e4 = e2)
% 20.76/5.40 |
% 20.76/5.40 | Equations (253) can reduce 202 to:
% 20.76/5.40 | (217) ~ (e4 = e1)
% 20.76/5.40 |
% 20.76/5.40 | Equations (253) can reduce 252 to:
% 20.76/5.40 | (7) ~ (e4 = e0)
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (85), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (326) all_0_0_0 = e0
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (326,253) yields a new equation:
% 20.76/5.40 | (327) e4 = e0
% 20.76/5.40 |
% 20.76/5.40 | Equations (327) can reduce 7 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (252) ~ (all_0_0_0 = e0)
% 20.76/5.40 | (330) all_0_1_1 = e0 | all_0_3_3 = e0
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (330), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (331) all_0_1_1 = e0
% 20.76/5.40 |
% 20.76/5.40 | Equations (331) can reduce 36 to:
% 20.76/5.40 | (2067) ~ (all_0_17_17 = e0)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 2067 yields:
% 20.76/5.40 | (654) ~ (all_0_17_17 = e0)
% 20.76/5.40 |
% 20.76/5.40 | Equations (331) can reduce 103 to:
% 20.76/5.40 | (788) ~ (e1 = e0)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 788 yields:
% 20.76/5.40 | (131) ~ (e1 = e0)
% 20.76/5.40 |
% 20.76/5.40 | From (331) and (139) follows:
% 20.76/5.40 | (7105) op(e4, e3) = e0
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (32), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (384) all_0_2_2 = e3
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (384,270) yields a new equation:
% 20.76/5.40 | (545) e3 = e2
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 545 yields:
% 20.76/5.40 | (483) e3 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (483) can reduce 191 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (496) ~ (all_0_2_2 = e3)
% 20.76/5.40 | (2994) all_0_7_7 = e3 | all_0_19_19 = e3
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (2994), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (713) all_0_7_7 = e3
% 20.76/5.40 |
% 20.76/5.40 | Equations (713) can reduce 1269 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (1269) ~ (all_0_7_7 = e3)
% 20.76/5.40 | (1081) all_0_19_19 = e3
% 20.76/5.40 |
% 20.76/5.40 | Equations (1081) can reduce 48 to:
% 20.76/5.40 | (1269) ~ (all_0_7_7 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (1081) can reduce 219 to:
% 20.76/5.40 | (203) ~ (all_0_11_11 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (1081) can reduce 69 to:
% 20.76/5.40 | (58) ~ (all_0_16_16 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Equations (1081) can reduce 35 to:
% 20.76/5.40 | (2504) ~ (all_0_20_20 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 2504 yields:
% 20.76/5.40 | (325) ~ (all_0_20_20 = e3)
% 20.76/5.40 |
% 20.76/5.40 | From (1081) and (209) follows:
% 20.76/5.40 | (2259) op(e0, e1) = e3
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (176), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (264) ~ (all_0_20_20 = e4)
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (158), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (337) all_0_20_20 = e2
% 20.76/5.40 |
% 20.76/5.40 | Equations (337) can reduce 251 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (251) ~ (all_0_20_20 = e2)
% 20.76/5.40 | (340) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (94), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (292) all_0_3_3 = e4
% 20.76/5.40 |
% 20.76/5.40 | Combining equations (292,672) yields a new equation:
% 20.76/5.40 | (620) e4 = e3
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 620 yields:
% 20.76/5.40 | (452) e4 = e3
% 20.76/5.40 |
% 20.76/5.40 | Equations (452) can reduce 24 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (259) ~ (all_0_3_3 = e4)
% 20.76/5.40 | (295) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 20.76/5.40 |
% 20.76/5.40 | Equations (672) can reduce 259 to:
% 20.76/5.40 | (807) ~ (e4 = e3)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 807 yields:
% 20.76/5.40 | (24) ~ (e4 = e3)
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (159), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (1629) all_0_16_16 = e4
% 20.76/5.40 |
% 20.76/5.40 | Equations (1629) can reduce 1965 to:
% 20.76/5.40 | (267) $false
% 20.76/5.40 |
% 20.76/5.40 |-The branch is then unsatisfiable
% 20.76/5.40 |-Branch two:
% 20.76/5.40 | (1965) ~ (all_0_16_16 = e4)
% 20.76/5.40 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (2264), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (846) all_0_17_17 = e4
% 20.76/5.40 |
% 20.76/5.40 | Equations (846) can reduce 26 to:
% 20.76/5.40 | (304) ~ (all_0_20_20 = e4)
% 20.76/5.40 |
% 20.76/5.40 | Simplifying 304 yields:
% 20.76/5.40 | (264) ~ (all_0_20_20 = e4)
% 20.76/5.40 |
% 20.76/5.40 | Equations (846) can reduce 654 to:
% 20.76/5.40 | (7) ~ (e4 = e0)
% 20.76/5.40 |
% 20.76/5.40 | From (846) and (14) follows:
% 20.76/5.40 | (2270) op(e0, e3) = e4
% 20.76/5.40 |
% 20.76/5.40 +-Applying beta-rule and splitting (25), into two cases.
% 20.76/5.40 |-Branch one:
% 20.76/5.40 | (741) all_0_16_16 = e1
% 20.76/5.40 |
% 20.76/5.40 | Equations (741) can reduce 115 to:
% 20.76/5.40 | (2555) ~ (all_0_20_20 = e1)
% 20.76/5.40 |
% 20.76/5.41 | Simplifying 2555 yields:
% 20.76/5.41 | (29) ~ (all_0_20_20 = e1)
% 20.76/5.41 |
% 20.76/5.41 | From (741) and (173) follows:
% 20.76/5.41 | (7147) op(e0, e4) = e1
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (198), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (326) all_0_0_0 = e0
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (326,253) yields a new equation:
% 20.76/5.41 | (327) e4 = e0
% 20.76/5.41 |
% 20.76/5.41 | Equations (327) can reduce 7 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (252) ~ (all_0_0_0 = e0)
% 20.76/5.41 | (774) all_0_4_4 = e0 | all_0_16_16 = e0
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (774), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (785) all_0_4_4 = e0
% 20.76/5.41 |
% 20.76/5.41 | Equations (785) can reduce 93 to:
% 20.76/5.41 | (2148) ~ (all_0_8_8 = e0)
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 2148 yields:
% 20.76/5.41 | (1185) ~ (all_0_8_8 = e0)
% 20.76/5.41 |
% 20.76/5.41 | From (785) and (179) follows:
% 20.76/5.41 | (2542) op(e3, e4) = e0
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (340), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (341) all_0_20_20 = e4
% 20.76/5.41 |
% 20.76/5.41 | Equations (341) can reduce 264 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (264) ~ (all_0_20_20 = e4)
% 20.76/5.41 | (344) all_0_20_20 = e3 | all_0_20_20 = e0
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (77), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (281) all_0_8_8 = e2
% 20.76/5.41 |
% 20.76/5.41 | Equations (281) can reduce 372 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (372) ~ (all_0_8_8 = e2)
% 20.76/5.41 | (2140) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e0
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (2140), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (296) all_0_8_8 = e4
% 20.76/5.41 |
% 20.76/5.41 | Equations (296) can reduce 49 to:
% 20.76/5.41 | (450) ~ (all_0_7_7 = e4)
% 20.76/5.41 |
% 20.76/5.41 | Equations (296) can reduce 724 to:
% 20.76/5.41 | (24) ~ (e4 = e3)
% 20.76/5.41 |
% 20.76/5.41 | Equations (296) can reduce 372 to:
% 20.76/5.41 | (205) ~ (e4 = e2)
% 20.76/5.41 |
% 20.76/5.41 | Equations (296) can reduce 195 to:
% 20.76/5.41 | (217) ~ (e4 = e1)
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (211), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (381) all_0_2_2 = e4
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (270,381) yields a new equation:
% 20.76/5.41 | (297) e4 = e2
% 20.76/5.41 |
% 20.76/5.41 | Equations (297) can reduce 205 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (257) ~ (all_0_2_2 = e4)
% 20.76/5.41 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (624), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (435) all_0_7_7 = e4
% 20.76/5.41 |
% 20.76/5.41 | Equations (435) can reduce 450 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (450) ~ (all_0_7_7 = e4)
% 20.76/5.41 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (628), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (306) all_0_11_11 = e4
% 20.76/5.41 |
% 20.76/5.41 | Equations (306) can reduce 197 to:
% 20.76/5.41 | (302) ~ (all_0_9_9 = e4)
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (63), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (356) all_0_9_9 = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (356) can reduce 302 to:
% 20.76/5.41 | (721) ~ (e4 = e1)
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 721 yields:
% 20.76/5.41 | (217) ~ (e4 = e1)
% 20.76/5.41 |
% 20.76/5.41 | Equations (356) can reduce 124 to:
% 20.76/5.41 | (743) ~ (e3 = e1)
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 743 yields:
% 20.76/5.41 | (133) ~ (e3 = e1)
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (11), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (1125) all_0_7_7 = e2
% 20.76/5.41 |
% 20.76/5.41 | Equations (1125) can reduce 537 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (537) ~ (all_0_7_7 = e2)
% 20.76/5.41 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (56), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (1385) all_0_7_7 = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (1385) can reduce 1269 to:
% 20.76/5.41 | (743) ~ (e3 = e1)
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 743 yields:
% 20.76/5.41 | (133) ~ (e3 = e1)
% 20.76/5.41 |
% 20.76/5.41 | Equations (1385) can reduce 537 to:
% 20.76/5.41 | (1005) ~ (e2 = e1)
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 1005 yields:
% 20.76/5.41 | (134) ~ (e2 = e1)
% 20.76/5.41 |
% 20.76/5.41 | From (1385) and (144) follows:
% 20.76/5.41 | (1388) op(e3, e1) = e1
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (344), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (345) all_0_20_20 = e0
% 20.76/5.41 |
% 20.76/5.41 | Equations (345) can reduce 251 to:
% 20.76/5.41 | (323) ~ (e2 = e0)
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 323 yields:
% 20.76/5.41 | (45) ~ (e2 = e0)
% 20.76/5.41 |
% 20.76/5.41 | Equations (345) can reduce 29 to:
% 20.76/5.41 | (788) ~ (e1 = e0)
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 788 yields:
% 20.76/5.41 | (131) ~ (e1 = e0)
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (54), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (1420) unit = e2
% 20.76/5.41 |
% 20.76/5.41 | From (1420) and (220) follows:
% 20.76/5.41 | (1423) op(e0, e2) = e0
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 20.76/5.41 | (353) e2 = e0
% 20.76/5.41 |
% 20.76/5.41 | Equations (353) can reduce 45 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (1432) ~ (unit = e2)
% 20.76/5.41 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (1433), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (1434) unit = e4
% 20.76/5.41 |
% 20.76/5.41 | From (1434) and (112) follows:
% 20.76/5.41 | (1437) op(e3, e4) = e3
% 20.76/5.41 |
% 20.76/5.41 | From (1434) and (169) follows:
% 20.76/5.41 | (1438) op(e2, e4) = e2
% 20.76/5.41 |
% 20.76/5.41 | From (1434) and (146) follows:
% 20.76/5.41 | (2338) op(e1, e4) = e1
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields:
% 20.76/5.41 | (1103) e3 = e0
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.76/5.41 | (483) e3 = e2
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e1, e4, e1, e2 and discharging atoms op(e1, e4) = e2, op(e1, e4) = e1, yields:
% 20.76/5.41 | (760) e2 = e1
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (483,1103) yields a new equation:
% 20.76/5.41 | (352) e2 = e0
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 352 yields:
% 20.76/5.41 | (353) e2 = e0
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (353,760) yields a new equation:
% 20.76/5.41 | (871) e1 = e0
% 20.76/5.41 |
% 20.76/5.41 | Equations (871) can reduce 131 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (1449) ~ (unit = e4)
% 20.76/5.41 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (1450), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (1451) unit = e0
% 20.76/5.41 |
% 20.76/5.41 | From (1451) and (52) follows:
% 20.76/5.41 | (7221) op(e0, e4) = e4
% 20.76/5.41 |
% 20.76/5.41 | From (1451) and (71) follows:
% 20.76/5.41 | (4241) op(e0, e3) = e3
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e0, e4, e4, e1 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e1, yields:
% 20.76/5.41 | (934) e4 = e1
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields:
% 20.76/5.41 | (452) e4 = e3
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (452,934) yields a new equation:
% 20.76/5.41 | (832) e3 = e1
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 832 yields:
% 20.76/5.41 | (833) e3 = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (833) can reduce 133 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (564) ~ (unit = e0)
% 20.76/5.41 | (1454) unit = e3 | unit = e1
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (1454), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (1455) unit = e3
% 20.76/5.41 |
% 20.76/5.41 | From (1455) and (153) follows:
% 20.76/5.41 | (1838) op(e3, e2) = e2
% 20.76/5.41 |
% 20.76/5.41 | From (1455) and (146) follows:
% 20.76/5.41 | (1458) op(e1, e3) = e1
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e3, e2, e2, e3 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 20.76/5.41 | (483) e3 = e2
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 20.76/5.41 | (833) e3 = e1
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (483,833) yields a new equation:
% 20.76/5.41 | (759) e2 = e1
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 759 yields:
% 20.76/5.41 | (760) e2 = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (760) can reduce 134 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (493) ~ (unit = e3)
% 20.76/5.41 | (1467) unit = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (1467) can reduce 564 to:
% 20.76/5.41 | (131) ~ (e1 = e0)
% 20.76/5.41 |
% 20.76/5.41 | From (1467) and (112) follows:
% 20.76/5.41 | (1471) op(e3, e1) = e3
% 20.76/5.41 |
% 20.76/5.41 | From (1467) and (220) follows:
% 20.76/5.41 | (1472) op(e0, e1) = e0
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 20.76/5.41 | (833) e3 = e1
% 20.76/5.41 |
% 20.76/5.41 | Instantiating formula (178) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 20.76/5.41 | (1103) e3 = e0
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (833,1103) yields a new equation:
% 20.76/5.41 | (1156) e1 = e0
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 1156 yields:
% 20.76/5.41 | (871) e1 = e0
% 20.76/5.41 |
% 20.76/5.41 | Equations (871) can reduce 131 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (336) ~ (all_0_20_20 = e0)
% 20.76/5.41 | (348) all_0_20_20 = e3
% 20.76/5.41 |
% 20.76/5.41 | Equations (348) can reduce 325 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (1801) ~ (all_0_7_7 = e1)
% 20.76/5.41 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (1802), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (309) all_0_11_11 = e1
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (306,309) yields a new equation:
% 20.76/5.41 | (1500) e4 = e1
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 1500 yields:
% 20.76/5.41 | (934) e4 = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (934) can reduce 217 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (1387) ~ (all_0_11_11 = e1)
% 20.76/5.41 | (916) all_0_19_19 = e1
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (916,1081) yields a new equation:
% 20.76/5.41 | (833) e3 = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (833) can reduce 133 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (310) ~ (all_0_9_9 = e1)
% 20.76/5.41 | (309) all_0_11_11 = e1
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (306,309) yields a new equation:
% 20.76/5.41 | (1500) e4 = e1
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 1500 yields:
% 20.76/5.41 | (934) e4 = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (934) can reduce 217 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (303) ~ (all_0_11_11 = e4)
% 20.76/5.41 | (644) all_0_19_19 = e4
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (644,1081) yields a new equation:
% 20.76/5.41 | (620) e4 = e3
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 620 yields:
% 20.76/5.41 | (452) e4 = e3
% 20.76/5.41 |
% 20.76/5.41 | Equations (452) can reduce 24 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (299) ~ (all_0_8_8 = e4)
% 20.76/5.41 | (2153) all_0_8_8 = e3 | all_0_8_8 = e0
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (2153), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (2154) all_0_8_8 = e0
% 20.76/5.41 |
% 20.76/5.41 | Equations (2154) can reduce 1185 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (1185) ~ (all_0_8_8 = e0)
% 20.76/5.41 | (425) all_0_8_8 = e3
% 20.76/5.41 |
% 20.76/5.41 | Equations (425) can reduce 724 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (882) ~ (all_0_4_4 = e0)
% 20.76/5.41 | (609) all_0_16_16 = e0
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (741,609) yields a new equation:
% 20.76/5.41 | (1156) e1 = e0
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 1156 yields:
% 20.76/5.41 | (871) e1 = e0
% 20.76/5.41 |
% 20.76/5.41 | Equations (871) can reduce 131 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (911) ~ (all_0_16_16 = e1)
% 20.76/5.41 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (912), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (913) all_0_17_17 = e1
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (846,913) yields a new equation:
% 20.76/5.41 | (1500) e4 = e1
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 1500 yields:
% 20.76/5.41 | (934) e4 = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (934) can reduce 217 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (720) ~ (all_0_17_17 = e1)
% 20.76/5.41 | (916) all_0_19_19 = e1
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (1081,916) yields a new equation:
% 20.76/5.41 | (832) e3 = e1
% 20.76/5.41 |
% 20.76/5.41 | Simplifying 832 yields:
% 20.76/5.41 | (833) e3 = e1
% 20.76/5.41 |
% 20.76/5.41 | Equations (833) can reduce 133 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (510) ~ (all_0_17_17 = e4)
% 20.76/5.41 | (2398) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 20.76/5.41 |
% 20.76/5.41 +-Applying beta-rule and splitting (2398), into two cases.
% 20.76/5.41 |-Branch one:
% 20.76/5.41 | (599) all_0_18_18 = e4
% 20.76/5.41 |
% 20.76/5.41 | Combining equations (363,599) yields a new equation:
% 20.76/5.41 | (297) e4 = e2
% 20.76/5.41 |
% 20.76/5.41 | Equations (297) can reduce 205 to:
% 20.76/5.41 | (267) $false
% 20.76/5.41 |
% 20.76/5.41 |-The branch is then unsatisfiable
% 20.76/5.41 |-Branch two:
% 20.76/5.41 | (674) ~ (all_0_18_18 = e4)
% 20.76/5.42 | (2404) all_0_19_19 = e4 | all_0_20_20 = e4
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (2404), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (644) all_0_19_19 = e4
% 20.76/5.42 |
% 20.76/5.42 | Combining equations (644,1081) yields a new equation:
% 20.76/5.42 | (620) e4 = e3
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 620 yields:
% 20.76/5.42 | (452) e4 = e3
% 20.76/5.42 |
% 20.76/5.42 | Equations (452) can reduce 24 to:
% 20.76/5.42 | (267) $false
% 20.76/5.42 |
% 20.76/5.42 |-The branch is then unsatisfiable
% 20.76/5.42 |-Branch two:
% 20.76/5.42 | (602) ~ (all_0_19_19 = e4)
% 20.76/5.42 | (341) all_0_20_20 = e4
% 20.76/5.42 |
% 20.76/5.42 | Equations (341) can reduce 264 to:
% 20.76/5.42 | (267) $false
% 20.76/5.42 |
% 20.76/5.42 |-The branch is then unsatisfiable
% 20.76/5.42 |-Branch two:
% 20.76/5.42 | (341) all_0_20_20 = e4
% 20.76/5.42 | (609) all_0_16_16 = e0
% 20.76/5.42 |
% 20.76/5.42 | Equations (609) can reduce 107 to:
% 20.76/5.42 | (2067) ~ (all_0_17_17 = e0)
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 2067 yields:
% 20.76/5.42 | (654) ~ (all_0_17_17 = e0)
% 20.76/5.42 |
% 20.76/5.42 | Equations (609) can reduce 58 to:
% 20.76/5.42 | (996) ~ (e3 = e0)
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 996 yields:
% 20.76/5.42 | (61) ~ (e3 = e0)
% 20.76/5.42 |
% 20.76/5.42 | Equations (609) can reduce 246 to:
% 20.76/5.42 | (323) ~ (e2 = e0)
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 323 yields:
% 20.76/5.42 | (45) ~ (e2 = e0)
% 20.76/5.42 |
% 20.76/5.42 | From (341) and (96) follows:
% 20.76/5.42 | (7316) op(e0, e0) = e4
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (76), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (1002) all_0_4_4 = e1
% 20.76/5.42 |
% 20.76/5.42 | Equations (1002) can reduce 74 to:
% 20.76/5.42 | (3900) ~ (all_0_7_7 = e1)
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 3900 yields:
% 20.76/5.42 | (1801) ~ (all_0_7_7 = e1)
% 20.76/5.42 |
% 20.76/5.42 | Equations (1002) can reduce 93 to:
% 20.76/5.42 | (715) ~ (all_0_8_8 = e1)
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 715 yields:
% 20.76/5.42 | (195) ~ (all_0_8_8 = e1)
% 20.76/5.42 |
% 20.76/5.42 | Equations (1002) can reduce 28 to:
% 20.76/5.42 | (743) ~ (e3 = e1)
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 743 yields:
% 20.76/5.42 | (133) ~ (e3 = e1)
% 20.76/5.42 |
% 20.76/5.42 | From (1002) and (179) follows:
% 20.76/5.42 | (1612) op(e3, e4) = e1
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (56), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (1385) all_0_7_7 = e1
% 20.76/5.42 |
% 20.76/5.42 | Equations (1385) can reduce 1801 to:
% 20.76/5.42 | (267) $false
% 20.76/5.42 |
% 20.76/5.42 |-The branch is then unsatisfiable
% 20.76/5.42 |-Branch two:
% 20.76/5.42 | (1801) ~ (all_0_7_7 = e1)
% 20.76/5.42 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (1802), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (309) all_0_11_11 = e1
% 20.76/5.42 |
% 20.76/5.42 | Equations (309) can reduce 171 to:
% 20.76/5.42 | (1801) ~ (all_0_7_7 = e1)
% 20.76/5.42 |
% 20.76/5.42 | Equations (309) can reduce 203 to:
% 20.76/5.42 | (743) ~ (e3 = e1)
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 743 yields:
% 20.76/5.42 | (133) ~ (e3 = e1)
% 20.76/5.42 |
% 20.76/5.42 | Equations (309) can reduce 81 to:
% 20.76/5.42 | (131) ~ (e1 = e0)
% 20.76/5.42 |
% 20.76/5.42 | From (309) and (162) follows:
% 20.76/5.42 | (1816) op(e2, e1) = e1
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (77), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (281) all_0_8_8 = e2
% 20.76/5.42 |
% 20.76/5.42 | Equations (281) can reduce 372 to:
% 20.76/5.42 | (267) $false
% 20.76/5.42 |
% 20.76/5.42 |-The branch is then unsatisfiable
% 20.76/5.42 |-Branch two:
% 20.76/5.42 | (372) ~ (all_0_8_8 = e2)
% 20.76/5.42 | (2140) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e0
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (11), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (1125) all_0_7_7 = e2
% 20.76/5.42 |
% 20.76/5.42 | Equations (1125) can reduce 537 to:
% 20.76/5.42 | (267) $false
% 20.76/5.42 |
% 20.76/5.42 |-The branch is then unsatisfiable
% 20.76/5.42 |-Branch two:
% 20.76/5.42 | (537) ~ (all_0_7_7 = e2)
% 20.76/5.42 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (3353), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (435) all_0_7_7 = e4
% 20.76/5.42 |
% 20.76/5.42 | From (435) and (144) follows:
% 20.76/5.42 | (7344) op(e3, e1) = e4
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (64), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (785) all_0_4_4 = e0
% 20.76/5.42 |
% 20.76/5.42 | Combining equations (785,1002) yields a new equation:
% 20.76/5.42 | (871) e1 = e0
% 20.76/5.42 |
% 20.76/5.42 | Equations (871) can reduce 131 to:
% 20.76/5.42 | (267) $false
% 20.76/5.42 |
% 20.76/5.42 |-The branch is then unsatisfiable
% 20.76/5.42 |-Branch two:
% 20.76/5.42 | (882) ~ (all_0_4_4 = e0)
% 20.76/5.42 | (2166) all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (2166), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (406) all_0_5_5 = e0
% 20.76/5.42 |
% 20.76/5.42 | Combining equations (402,406) yields a new equation:
% 20.76/5.42 | (352) e2 = e0
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 352 yields:
% 20.76/5.42 | (353) e2 = e0
% 20.76/5.42 |
% 20.76/5.42 | Equations (353) can reduce 45 to:
% 20.76/5.42 | (267) $false
% 20.76/5.42 |
% 20.76/5.42 |-The branch is then unsatisfiable
% 20.76/5.42 |-Branch two:
% 20.76/5.42 | (422) ~ (all_0_5_5 = e0)
% 20.76/5.42 | (2387) all_0_6_6 = e0 | all_0_8_8 = e0
% 20.76/5.42 |
% 20.76/5.42 +-Applying beta-rule and splitting (2387), into two cases.
% 20.76/5.42 |-Branch one:
% 20.76/5.42 | (411) all_0_6_6 = e0
% 20.76/5.42 |
% 20.76/5.42 | Combining equations (448,411) yields a new equation:
% 20.76/5.42 | (1102) e3 = e0
% 20.76/5.42 |
% 20.76/5.42 | Simplifying 1102 yields:
% 20.76/5.42 | (1103) e3 = e0
% 20.76/5.42 |
% 20.76/5.42 | Equations (1103) can reduce 61 to:
% 20.76/5.42 | (267) $false
% 20.76/5.42 |
% 20.76/5.42 |-The branch is then unsatisfiable
% 20.76/5.42 |-Branch two:
% 20.76/5.42 | (408) ~ (all_0_6_6 = e0)
% 20.76/5.42 | (2154) all_0_8_8 = e0
% 20.76/5.42 |
% 20.76/5.42 | Equations (2154) can reduce 372 to:
% 20.76/5.42 | (323) ~ (e2 = e0)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 323 yields:
% 20.99/5.42 | (45) ~ (e2 = e0)
% 20.99/5.42 |
% 20.99/5.42 | Equations (2154) can reduce 195 to:
% 20.99/5.42 | (788) ~ (e1 = e0)
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 788 yields:
% 20.99/5.42 | (131) ~ (e1 = e0)
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (25), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (741) all_0_16_16 = e1
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (609,741) yields a new equation:
% 20.99/5.42 | (871) e1 = e0
% 20.99/5.42 |
% 20.99/5.42 | Equations (871) can reduce 131 to:
% 20.99/5.42 | (267) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (911) ~ (all_0_16_16 = e1)
% 20.99/5.42 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (912), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (913) all_0_17_17 = e1
% 20.99/5.42 |
% 20.99/5.42 | Equations (913) can reduce 654 to:
% 20.99/5.42 | (131) ~ (e1 = e0)
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (54), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (1420) unit = e2
% 20.99/5.42 |
% 20.99/5.42 | From (1420) and (220) follows:
% 20.99/5.42 | (1423) op(e0, e2) = e0
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 20.99/5.42 | (353) e2 = e0
% 20.99/5.42 |
% 20.99/5.42 | Equations (353) can reduce 45 to:
% 20.99/5.42 | (267) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (1432) ~ (unit = e2)
% 20.99/5.42 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (1433), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (1434) unit = e4
% 20.99/5.42 |
% 20.99/5.42 | From (1434) and (42) follows:
% 20.99/5.42 | (1436) op(e4, e0) = e0
% 20.99/5.42 |
% 20.99/5.42 | From (1434) and (112) follows:
% 20.99/5.42 | (1437) op(e3, e4) = e3
% 20.99/5.42 |
% 20.99/5.42 | From (1434) and (169) follows:
% 20.99/5.42 | (1438) op(e2, e4) = e2
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields:
% 20.99/5.42 | (1103) e3 = e0
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 20.99/5.42 | (833) e3 = e1
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 20.99/5.42 | (483) e3 = e2
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (1103,483) yields a new equation:
% 20.99/5.42 | (353) e2 = e0
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (833,483) yields a new equation:
% 20.99/5.42 | (760) e2 = e1
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (353,760) yields a new equation:
% 20.99/5.42 | (871) e1 = e0
% 20.99/5.42 |
% 20.99/5.42 | Equations (871) can reduce 131 to:
% 20.99/5.42 | (267) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (1449) ~ (unit = e4)
% 20.99/5.42 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (1450), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (1451) unit = e0
% 20.99/5.42 |
% 20.99/5.42 | From (1451) and (130) follows:
% 20.99/5.42 | (1813) op(e0, e1) = e1
% 20.99/5.42 |
% 20.99/5.42 | From (1451) and (199) follows:
% 20.99/5.42 | (1176) op(e4, e0) = e4
% 20.99/5.42 |
% 20.99/5.42 | From (1451) and (220) follows:
% 20.99/5.42 | (2349) op(e0, e0) = e0
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e4, e0, e4, e3 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e3, yields:
% 20.99/5.42 | (452) e4 = e3
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 20.99/5.42 | (833) e3 = e1
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e0, e0, e0, e4 and discharging atoms op(e0, e0) = e4, op(e0, e0) = e0, yields:
% 20.99/5.42 | (327) e4 = e0
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (327,452) yields a new equation:
% 20.99/5.42 | (1103) e3 = e0
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (1103,833) yields a new equation:
% 20.99/5.42 | (871) e1 = e0
% 20.99/5.42 |
% 20.99/5.42 | Equations (871) can reduce 131 to:
% 20.99/5.42 | (267) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (564) ~ (unit = e0)
% 20.99/5.42 | (1454) unit = e3 | unit = e1
% 20.99/5.42 |
% 20.99/5.42 +-Applying beta-rule and splitting (1454), into two cases.
% 20.99/5.42 |-Branch one:
% 20.99/5.42 | (1455) unit = e3
% 20.99/5.42 |
% 20.99/5.42 | From (1455) and (130) follows:
% 20.99/5.42 | (1388) op(e3, e1) = e1
% 20.99/5.42 |
% 20.99/5.42 | From (1455) and (199) follows:
% 20.99/5.42 | (1457) op(e4, e3) = e4
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields:
% 20.99/5.42 | (327) e4 = e0
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields:
% 20.99/5.42 | (934) e4 = e1
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (327,934) yields a new equation:
% 20.99/5.42 | (871) e1 = e0
% 20.99/5.42 |
% 20.99/5.42 | Equations (871) can reduce 131 to:
% 20.99/5.42 | (267) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (493) ~ (unit = e3)
% 20.99/5.42 | (1467) unit = e1
% 20.99/5.42 |
% 20.99/5.42 | Equations (1467) can reduce 564 to:
% 20.99/5.42 | (131) ~ (e1 = e0)
% 20.99/5.42 |
% 20.99/5.42 | From (1467) and (153) follows:
% 20.99/5.42 | (3098) op(e1, e2) = e2
% 20.99/5.42 |
% 20.99/5.42 | From (1467) and (112) follows:
% 20.99/5.42 | (1471) op(e3, e1) = e3
% 20.99/5.42 |
% 20.99/5.42 | From (1467) and (169) follows:
% 20.99/5.42 | (3099) op(e2, e1) = e2
% 20.99/5.42 |
% 20.99/5.42 | From (1467) and (220) follows:
% 20.99/5.42 | (1472) op(e0, e1) = e0
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e3, e1, e3, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e3, yields:
% 20.99/5.42 | (452) e4 = e3
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 20.99/5.42 | (760) e2 = e1
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e1, e2, e2, e4 and discharging atoms op(e1, e2) = e4, op(e1, e2) = e2, yields:
% 20.99/5.42 | (297) e4 = e2
% 20.99/5.42 |
% 20.99/5.42 | Instantiating formula (178) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 20.99/5.42 | (1103) e3 = e0
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (297,452) yields a new equation:
% 20.99/5.42 | (483) e3 = e2
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (483,1103) yields a new equation:
% 20.99/5.42 | (352) e2 = e0
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 352 yields:
% 20.99/5.42 | (353) e2 = e0
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (353,760) yields a new equation:
% 20.99/5.42 | (871) e1 = e0
% 20.99/5.42 |
% 20.99/5.42 | Equations (871) can reduce 131 to:
% 20.99/5.42 | (267) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (720) ~ (all_0_17_17 = e1)
% 20.99/5.42 | (916) all_0_19_19 = e1
% 20.99/5.42 |
% 20.99/5.42 | Combining equations (1081,916) yields a new equation:
% 20.99/5.42 | (832) e3 = e1
% 20.99/5.42 |
% 20.99/5.42 | Simplifying 832 yields:
% 20.99/5.42 | (833) e3 = e1
% 20.99/5.42 |
% 20.99/5.42 | Equations (833) can reduce 133 to:
% 20.99/5.42 | (267) $false
% 20.99/5.42 |
% 20.99/5.42 |-The branch is then unsatisfiable
% 20.99/5.42 |-Branch two:
% 20.99/5.42 | (450) ~ (all_0_7_7 = e4)
% 20.99/5.43 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (3357), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (713) all_0_7_7 = e3
% 20.99/5.43 |
% 20.99/5.43 | Equations (713) can reduce 1269 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (1269) ~ (all_0_7_7 = e3)
% 20.99/5.43 | (1385) all_0_7_7 = e1
% 20.99/5.43 |
% 20.99/5.43 | Equations (1385) can reduce 1801 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (1387) ~ (all_0_11_11 = e1)
% 20.99/5.43 | (916) all_0_19_19 = e1
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (1081,916) yields a new equation:
% 20.99/5.43 | (832) e3 = e1
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 832 yields:
% 20.99/5.43 | (833) e3 = e1
% 20.99/5.43 |
% 20.99/5.43 | Equations (833) can reduce 133 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (742) ~ (all_0_4_4 = e1)
% 20.99/5.43 | (741) all_0_16_16 = e1
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (609,741) yields a new equation:
% 20.99/5.43 | (871) e1 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (871) can reduce 131 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (320) ~ (all_0_1_1 = e0)
% 20.99/5.43 | (334) all_0_3_3 = e0
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (334,672) yields a new equation:
% 20.99/5.43 | (1103) e3 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (1103) can reduce 61 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (1168) ~ (all_0_0_0 = e4)
% 20.99/5.43 | (326) all_0_0_0 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (326) can reduce 252 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (326) all_0_0_0 = e0
% 20.99/5.43 | (292) all_0_3_3 = e4
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (292,672) yields a new equation:
% 20.99/5.43 | (620) e4 = e3
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 620 yields:
% 20.99/5.43 | (452) e4 = e3
% 20.99/5.43 |
% 20.99/5.43 | Equations (452) can reduce 24 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (379) ~ (all_0_2_2 = e2)
% 20.99/5.43 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (43), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (540) all_0_1_1 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (540) can reduce 520 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (520) ~ (all_0_1_1 = e2)
% 20.99/5.43 | (543) all_0_2_2 = e2 | all_0_3_3 = e2
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (543), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (270) all_0_2_2 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (270) can reduce 379 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (379) ~ (all_0_2_2 = e2)
% 20.99/5.43 | (277) all_0_3_3 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (277) can reduce 272 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (232) ~ (all_0_18_18 = e2)
% 20.99/5.43 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (598), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (599) all_0_18_18 = e4
% 20.99/5.43 |
% 20.99/5.43 | Equations (599) can reduce 674 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (674) ~ (all_0_18_18 = e4)
% 20.99/5.43 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (675), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (420) all_0_18_18 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (420) can reduce 570 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (570) ~ (all_0_18_18 = e0)
% 20.99/5.43 | (679) all_0_18_18 = e3
% 20.99/5.43 |
% 20.99/5.43 | Equations (679) can reduce 468 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (461) ~ (all_0_15_15 = e4)
% 20.99/5.43 | (462) all_0_15_15 = e3
% 20.99/5.43 |
% 20.99/5.43 | Equations (462) can reduce 394 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (464) ~ (all_0_14_14 = e3)
% 20.99/5.43 | (462) all_0_15_15 = e3
% 20.99/5.43 |
% 20.99/5.43 | Equations (462) can reduce 394 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (1961) ~ (all_0_13_13 = e2)
% 20.99/5.43 | (1625) all_0_13_13 = e4
% 20.99/5.43 |
% 20.99/5.43 | Equations (1625) can reduce 127 to:
% 20.99/5.43 | (1168) ~ (all_0_0_0 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Equations (1625) can reduce 68 to:
% 20.99/5.43 | (261) ~ (all_0_4_4 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Equations (1625) can reduce 21 to:
% 20.99/5.43 | (3255) ~ (all_0_14_14 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 3255 yields:
% 20.99/5.43 | (514) ~ (all_0_14_14 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Equations (1625) can reduce 82 to:
% 20.99/5.43 | (7494) ~ (all_0_15_15 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 7494 yields:
% 20.99/5.43 | (461) ~ (all_0_15_15 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Equations (1625) can reduce 123 to:
% 20.99/5.43 | (1964) ~ (all_0_16_16 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 1964 yields:
% 20.99/5.43 | (1965) ~ (all_0_16_16 = e4)
% 20.99/5.43 |
% 20.99/5.43 | From (1625) and (120) follows:
% 20.99/5.43 | (1469) op(e1, e4) = e4
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (121), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (253) all_0_0_0 = e4
% 20.99/5.43 |
% 20.99/5.43 | Equations (253) can reduce 1168 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (1168) ~ (all_0_0_0 = e4)
% 20.99/5.43 | (326) all_0_0_0 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (326) can reduce 110 to:
% 20.99/5.43 | (1976) ~ (all_0_1_1 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 1976 yields:
% 20.99/5.43 | (320) ~ (all_0_1_1 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Equations (326) can reduce 15 to:
% 20.99/5.43 | (1978) ~ (all_0_4_4 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 1978 yields:
% 20.99/5.43 | (882) ~ (all_0_4_4 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Equations (326) can reduce 149 to:
% 20.99/5.43 | (7507) ~ (all_0_16_16 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 7507 yields:
% 20.99/5.43 | (587) ~ (all_0_16_16 = e0)
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (47), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (252) ~ (all_0_0_0 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Equations (326) can reduce 252 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (326) all_0_0_0 = e0
% 20.99/5.43 | (292) all_0_3_3 = e4
% 20.99/5.43 |
% 20.99/5.43 | Equations (292) can reduce 215 to:
% 20.99/5.43 | (255) ~ (all_0_1_1 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Equations (292) can reduce 208 to:
% 20.99/5.43 | (257) ~ (all_0_2_2 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Equations (292) can reduce 8 to:
% 20.99/5.43 | (1986) ~ (all_0_8_8 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 1986 yields:
% 20.99/5.43 | (299) ~ (all_0_8_8 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Equations (292) can reduce 212 to:
% 20.99/5.43 | (304) ~ (all_0_20_20 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 304 yields:
% 20.99/5.43 | (264) ~ (all_0_20_20 = e4)
% 20.99/5.43 |
% 20.99/5.43 | Equations (292) can reduce 272 to:
% 20.99/5.43 | (205) ~ (e4 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Equations (292) can reduce 182 to:
% 20.99/5.43 | (217) ~ (e4 = e1)
% 20.99/5.43 |
% 20.99/5.43 | From (292) and (46) follows:
% 20.99/5.43 | (1176) op(e4, e0) = e4
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (188), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (387) all_0_14_14 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (387) can reduce 136 to:
% 20.99/5.43 | (520) ~ (all_0_1_1 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Equations (387) can reduce 88 to:
% 20.99/5.43 | (238) ~ (all_0_5_5 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Equations (387) can reduce 210 to:
% 20.99/5.43 | (224) ~ (all_0_9_9 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Equations (387) can reduce 104 to:
% 20.99/5.43 | (1597) ~ (all_0_17_17 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 1597 yields:
% 20.99/5.43 | (361) ~ (all_0_17_17 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Equations (387) can reduce 514 to:
% 20.99/5.43 | (233) ~ (e4 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 233 yields:
% 20.99/5.43 | (205) ~ (e4 = e2)
% 20.99/5.43 |
% 20.99/5.43 | From (387) and (117) follows:
% 20.99/5.43 | (2003) op(e1, e3) = e2
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (91), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (391) all_0_14_14 = e3
% 20.99/5.43 |
% 20.99/5.43 | Combining equations (391,387) yields a new equation:
% 20.99/5.43 | (545) e3 = e2
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 545 yields:
% 20.99/5.43 | (483) e3 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (483) can reduce 191 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (464) ~ (all_0_14_14 = e3)
% 20.99/5.43 | (462) all_0_15_15 = e3
% 20.99/5.43 |
% 20.99/5.43 | From (462) and (83) follows:
% 20.99/5.43 | (1284) op(e1, e2) = e3
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (60), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (540) all_0_1_1 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (540) can reduce 520 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (520) ~ (all_0_1_1 = e2)
% 20.99/5.43 | (2007) all_0_1_1 = e4 | all_0_1_1 = e3 | all_0_1_1 = e0
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (2007), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (790) all_0_1_1 = e4
% 20.99/5.43 |
% 20.99/5.43 | Equations (790) can reduce 255 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (255) ~ (all_0_1_1 = e4)
% 20.99/5.43 | (2020) all_0_1_1 = e3 | all_0_1_1 = e0
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (43), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (540) all_0_1_1 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (540) can reduce 520 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (520) ~ (all_0_1_1 = e2)
% 20.99/5.43 | (543) all_0_2_2 = e2 | all_0_3_3 = e2
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (543), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (270) all_0_2_2 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (270) can reduce 9 to:
% 20.99/5.43 | (2862) ~ (all_0_7_7 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 2862 yields:
% 20.99/5.43 | (537) ~ (all_0_7_7 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Equations (270) can reduce 132 to:
% 20.99/5.43 | (225) ~ (all_0_11_11 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 225 yields:
% 20.99/5.43 | (226) ~ (all_0_11_11 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Equations (270) can reduce 84 to:
% 20.99/5.43 | (273) ~ (all_0_19_19 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 273 yields:
% 20.99/5.43 | (274) ~ (all_0_19_19 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Equations (270) can reduce 257 to:
% 20.99/5.43 | (233) ~ (e4 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 233 yields:
% 20.99/5.43 | (205) ~ (e4 = e2)
% 20.99/5.43 |
% 20.99/5.43 | Equations (270) can reduce 16 to:
% 20.99/5.43 | (134) ~ (e2 = e1)
% 20.99/5.43 |
% 20.99/5.43 | From (270) and (189) follows:
% 20.99/5.43 | (7560) op(e4, e1) = e2
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (122), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (804) all_0_1_1 = e3
% 20.99/5.43 |
% 20.99/5.43 | Equations (804) can reduce 118 to:
% 20.99/5.43 | (2027) ~ (all_0_5_5 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 2027 yields:
% 20.99/5.43 | (392) ~ (all_0_5_5 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Equations (804) can reduce 13 to:
% 20.99/5.43 | (3214) ~ (all_0_9_9 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 3214 yields:
% 20.99/5.43 | (124) ~ (all_0_9_9 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Equations (804) can reduce 255 to:
% 20.99/5.43 | (807) ~ (e4 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 807 yields:
% 20.99/5.43 | (24) ~ (e4 = e3)
% 20.99/5.43 |
% 20.99/5.43 | From (804) and (139) follows:
% 20.99/5.43 | (7568) op(e4, e3) = e3
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (125), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (265) ~ (all_0_5_5 = e1)
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (184), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (402) all_0_5_5 = e2
% 20.99/5.43 |
% 20.99/5.43 | Equations (402) can reduce 238 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (238) ~ (all_0_5_5 = e2)
% 20.99/5.43 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (405), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (406) all_0_5_5 = e0
% 20.99/5.43 |
% 20.99/5.43 | Equations (406) can reduce 39 to:
% 20.99/5.43 | (882) ~ (all_0_4_4 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Equations (406) can reduce 3 to:
% 20.99/5.43 | (407) ~ (all_0_6_6 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 407 yields:
% 20.99/5.43 | (408) ~ (all_0_6_6 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Equations (406) can reduce 55 to:
% 20.99/5.43 | (2301) ~ (all_0_7_7 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 2301 yields:
% 20.99/5.43 | (4) ~ (all_0_7_7 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Equations (406) can reduce 2 to:
% 20.99/5.43 | (853) ~ (all_0_9_9 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 853 yields:
% 20.99/5.43 | (355) ~ (all_0_9_9 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Equations (406) can reduce 119 to:
% 20.99/5.43 | (2067) ~ (all_0_17_17 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 2067 yields:
% 20.99/5.43 | (654) ~ (all_0_17_17 = e0)
% 20.99/5.43 |
% 20.99/5.43 +-Applying beta-rule and splitting (200), into two cases.
% 20.99/5.43 |-Branch one:
% 20.99/5.43 | (422) ~ (all_0_5_5 = e0)
% 20.99/5.43 |
% 20.99/5.43 | Equations (406) can reduce 422 to:
% 20.99/5.43 | (267) $false
% 20.99/5.43 |
% 20.99/5.43 |-The branch is then unsatisfiable
% 20.99/5.43 |-Branch two:
% 20.99/5.43 | (406) all_0_5_5 = e0
% 20.99/5.43 | (425) all_0_8_8 = e3
% 20.99/5.43 |
% 20.99/5.43 | Equations (425) can reduce 93 to:
% 20.99/5.43 | (28) ~ (all_0_4_4 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Equations (425) can reduce 138 to:
% 20.99/5.43 | (426) ~ (all_0_6_6 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Equations (425) can reduce 49 to:
% 20.99/5.43 | (1269) ~ (all_0_7_7 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Equations (425) can reduce 299 to:
% 20.99/5.43 | (807) ~ (e4 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Simplifying 807 yields:
% 20.99/5.43 | (24) ~ (e4 = e3)
% 20.99/5.43 |
% 20.99/5.43 | Equations (425) can reduce 372 to:
% 20.99/5.43 | (191) ~ (e3 = e2)
% 20.99/5.43 |
% 20.99/5.43 | From (425) and (140) follows:
% 20.99/5.44 | (3077) op(e3, e0) = e3
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (145), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (609) all_0_16_16 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (609) can reduce 587 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (587) ~ (all_0_16_16 = e0)
% 20.99/5.44 | (612) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_20_20 = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (612), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (351) all_0_17_17 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (351) can reduce 654 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (654) ~ (all_0_17_17 = e0)
% 20.99/5.44 | (655) all_0_18_18 = e0 | all_0_20_20 = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (655), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (420) all_0_18_18 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (420) can reduce 570 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (570) ~ (all_0_18_18 = e0)
% 20.99/5.44 | (345) all_0_20_20 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (345) can reduce 115 to:
% 20.99/5.44 | (587) ~ (all_0_16_16 = e0)
% 20.99/5.44 |
% 20.99/5.44 | Equations (345) can reduce 26 to:
% 20.99/5.44 | (654) ~ (all_0_17_17 = e0)
% 20.99/5.44 |
% 20.99/5.44 | Equations (345) can reduce 18 to:
% 20.99/5.44 | (570) ~ (all_0_18_18 = e0)
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (32), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (384) all_0_2_2 = e3
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (384,270) yields a new equation:
% 20.99/5.44 | (545) e3 = e2
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 545 yields:
% 20.99/5.44 | (483) e3 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (483) can reduce 191 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (496) ~ (all_0_2_2 = e3)
% 20.99/5.44 | (2994) all_0_7_7 = e3 | all_0_19_19 = e3
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (2994), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (713) all_0_7_7 = e3
% 20.99/5.44 |
% 20.99/5.44 | Equations (713) can reduce 1269 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (1269) ~ (all_0_7_7 = e3)
% 20.99/5.44 | (1081) all_0_19_19 = e3
% 20.99/5.44 |
% 20.99/5.44 | Equations (1081) can reduce 48 to:
% 20.99/5.44 | (1269) ~ (all_0_7_7 = e3)
% 20.99/5.44 |
% 20.99/5.44 | Equations (1081) can reduce 219 to:
% 20.99/5.44 | (203) ~ (all_0_11_11 = e3)
% 20.99/5.44 |
% 20.99/5.44 | Equations (1081) can reduce 6 to:
% 20.99/5.44 | (1858) ~ (all_0_17_17 = e3)
% 20.99/5.44 |
% 20.99/5.44 | Equations (1081) can reduce 154 to:
% 20.99/5.44 | (468) ~ (all_0_18_18 = e3)
% 20.99/5.44 |
% 20.99/5.44 | From (1081) and (209) follows:
% 20.99/5.44 | (2259) op(e0, e1) = e3
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (167), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (266) all_0_11_11 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (266) can reduce 226 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (226) ~ (all_0_11_11 = e2)
% 20.99/5.44 | (269) all_0_11_11 = e4 | all_0_11_11 = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (79), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (1059) all_0_4_4 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (1059) can reduce 99 to:
% 20.99/5.44 | (2210) ~ (all_0_6_6 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 2210 yields:
% 20.99/5.44 | (223) ~ (all_0_6_6 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Equations (1059) can reduce 204 to:
% 20.99/5.44 | (245) ~ (all_0_16_16 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 245 yields:
% 20.99/5.44 | (246) ~ (all_0_16_16 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Equations (1059) can reduce 261 to:
% 20.99/5.44 | (233) ~ (e4 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 233 yields:
% 20.99/5.44 | (205) ~ (e4 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Equations (1059) can reduce 28 to:
% 20.99/5.44 | (235) ~ (e3 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 235 yields:
% 20.99/5.44 | (191) ~ (e3 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Equations (1059) can reduce 882 to:
% 20.99/5.44 | (45) ~ (e2 = e0)
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (80), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (437) all_0_6_6 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (437) can reduce 223 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (223) ~ (all_0_6_6 = e2)
% 20.99/5.44 | (4338) all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (214), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (284) all_0_16_16 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (284) can reduce 246 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (246) ~ (all_0_16_16 = e2)
% 20.99/5.44 | (2180) all_0_16_16 = e4 | all_0_16_16 = e1 | all_0_16_16 = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (180), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (437) all_0_6_6 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (437) can reduce 223 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (223) ~ (all_0_6_6 = e2)
% 20.99/5.44 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (100), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (284) all_0_16_16 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (284) can reduce 246 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (246) ~ (all_0_16_16 = e2)
% 20.99/5.44 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (76), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (1002) all_0_4_4 = e1
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (1002,1059) yields a new equation:
% 20.99/5.44 | (760) e2 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (760) can reduce 134 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (742) ~ (all_0_4_4 = e1)
% 20.99/5.44 | (741) all_0_16_16 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (741) can reduce 107 to:
% 20.99/5.44 | (719) ~ (all_0_17_17 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 719 yields:
% 20.99/5.44 | (720) ~ (all_0_17_17 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Equations (741) can reduce 1965 to:
% 20.99/5.44 | (721) ~ (e4 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 721 yields:
% 20.99/5.44 | (217) ~ (e4 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Equations (741) can reduce 246 to:
% 20.99/5.44 | (1005) ~ (e2 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 1005 yields:
% 20.99/5.44 | (134) ~ (e2 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Equations (741) can reduce 587 to:
% 20.99/5.44 | (131) ~ (e1 = e0)
% 20.99/5.44 |
% 20.99/5.44 | From (741) and (173) follows:
% 20.99/5.44 | (7147) op(e0, e4) = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (175), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (1002) all_0_4_4 = e1
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (1059,1002) yields a new equation:
% 20.99/5.44 | (759) e2 = e1
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 759 yields:
% 20.99/5.44 | (760) e2 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (760) can reduce 134 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (742) ~ (all_0_4_4 = e1)
% 20.99/5.44 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (287), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (288) all_0_17_17 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (288) can reduce 361 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (361) ~ (all_0_17_17 = e2)
% 20.99/5.44 | (362) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (157), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (288) all_0_17_17 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (288) can reduce 361 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (361) ~ (all_0_17_17 = e2)
% 20.99/5.44 | (1689) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1689), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (846) all_0_17_17 = e4
% 20.99/5.44 |
% 20.99/5.44 | Equations (846) can reduce 163 to:
% 20.99/5.44 | (302) ~ (all_0_9_9 = e4)
% 20.99/5.44 |
% 20.99/5.44 | Equations (846) can reduce 137 to:
% 20.99/5.44 | (4119) ~ (all_0_18_18 = e4)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 4119 yields:
% 20.99/5.44 | (674) ~ (all_0_18_18 = e4)
% 20.99/5.44 |
% 20.99/5.44 | Equations (846) can reduce 1858 to:
% 20.99/5.44 | (24) ~ (e4 = e3)
% 20.99/5.44 |
% 20.99/5.44 | From (846) and (14) follows:
% 20.99/5.44 | (2270) op(e0, e3) = e4
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (147), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (431) all_0_6_6 = e4
% 20.99/5.44 |
% 20.99/5.44 | Equations (431) can reduce 155 to:
% 20.99/5.44 | (4119) ~ (all_0_18_18 = e4)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 4119 yields:
% 20.99/5.44 | (674) ~ (all_0_18_18 = e4)
% 20.99/5.44 |
% 20.99/5.44 | Equations (431) can reduce 34 to:
% 20.99/5.44 | (217) ~ (e4 = e1)
% 20.99/5.44 |
% 20.99/5.44 | From (431) and (89) follows:
% 20.99/5.44 | (1692) op(e3, e2) = e4
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (12), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (315) all_0_9_9 = e4
% 20.99/5.44 |
% 20.99/5.44 | Equations (315) can reduce 302 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (302) ~ (all_0_9_9 = e4)
% 20.99/5.44 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (213), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (363) all_0_18_18 = e2
% 20.99/5.44 |
% 20.99/5.44 | Equations (363) can reduce 674 to:
% 20.99/5.44 | (233) ~ (e4 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 233 yields:
% 20.99/5.44 | (205) ~ (e4 = e2)
% 20.99/5.44 |
% 20.99/5.44 | Equations (363) can reduce 570 to:
% 20.99/5.44 | (45) ~ (e2 = e0)
% 20.99/5.44 |
% 20.99/5.44 | From (363) and (142) follows:
% 20.99/5.44 | (3075) op(e0, e2) = e2
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1401), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (306) all_0_11_11 = e4
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (63), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (356) all_0_9_9 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (356) can reduce 355 to:
% 20.99/5.44 | (131) ~ (e1 = e0)
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1292), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (459) all_0_5_5 = e1
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (406,459) yields a new equation:
% 20.99/5.44 | (871) e1 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (871) can reduce 131 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (265) ~ (all_0_5_5 = e1)
% 20.99/5.44 | (1385) all_0_7_7 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (1385) can reduce 1269 to:
% 20.99/5.44 | (743) ~ (e3 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 743 yields:
% 20.99/5.44 | (133) ~ (e3 = e1)
% 20.99/5.44 |
% 20.99/5.44 | Equations (1385) can reduce 4 to:
% 20.99/5.44 | (131) ~ (e1 = e0)
% 20.99/5.44 |
% 20.99/5.44 | From (1385) and (144) follows:
% 20.99/5.44 | (1388) op(e3, e1) = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (54), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (1420) unit = e2
% 20.99/5.44 |
% 20.99/5.44 | From (1420) and (220) follows:
% 20.99/5.44 | (1423) op(e0, e2) = e0
% 20.99/5.44 |
% 20.99/5.44 | Instantiating formula (178) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 20.99/5.44 | (353) e2 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (353) can reduce 45 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (1432) ~ (unit = e2)
% 20.99/5.44 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1433), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (1434) unit = e4
% 20.99/5.44 |
% 20.99/5.44 | From (1434) and (42) follows:
% 20.99/5.44 | (1436) op(e4, e0) = e0
% 20.99/5.44 |
% 20.99/5.44 | From (1434) and (146) follows:
% 20.99/5.44 | (2338) op(e1, e4) = e1
% 20.99/5.44 |
% 20.99/5.44 | Instantiating formula (178) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 20.99/5.44 | (327) e4 = e0
% 20.99/5.44 |
% 20.99/5.44 | Instantiating formula (178) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 20.99/5.44 | (934) e4 = e1
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (934,327) yields a new equation:
% 20.99/5.44 | (1156) e1 = e0
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 1156 yields:
% 20.99/5.44 | (871) e1 = e0
% 20.99/5.44 |
% 20.99/5.44 | Equations (871) can reduce 131 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (1449) ~ (unit = e4)
% 20.99/5.44 | (1450) unit = e3 | unit = e1 | unit = e0
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1450), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (1451) unit = e0
% 20.99/5.44 |
% 20.99/5.44 | From (1451) and (52) follows:
% 20.99/5.44 | (7221) op(e0, e4) = e4
% 20.99/5.44 |
% 20.99/5.44 | From (1451) and (71) follows:
% 20.99/5.44 | (4241) op(e0, e3) = e3
% 20.99/5.44 |
% 20.99/5.44 | Instantiating formula (178) with e0, e4, e4, e1 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e1, yields:
% 20.99/5.44 | (934) e4 = e1
% 20.99/5.44 |
% 20.99/5.44 | Instantiating formula (178) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields:
% 20.99/5.44 | (452) e4 = e3
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (934,452) yields a new equation:
% 20.99/5.44 | (833) e3 = e1
% 20.99/5.44 |
% 20.99/5.44 | Equations (833) can reduce 133 to:
% 20.99/5.44 | (267) $false
% 20.99/5.44 |
% 20.99/5.44 |-The branch is then unsatisfiable
% 20.99/5.44 |-Branch two:
% 20.99/5.44 | (564) ~ (unit = e0)
% 20.99/5.44 | (1454) unit = e3 | unit = e1
% 20.99/5.44 |
% 20.99/5.44 +-Applying beta-rule and splitting (1454), into two cases.
% 20.99/5.44 |-Branch one:
% 20.99/5.44 | (1455) unit = e3
% 20.99/5.44 |
% 20.99/5.44 | From (1455) and (153) follows:
% 20.99/5.44 | (1838) op(e3, e2) = e2
% 20.99/5.44 |
% 20.99/5.44 | From (1455) and (146) follows:
% 20.99/5.44 | (1458) op(e1, e3) = e1
% 20.99/5.44 |
% 20.99/5.44 | From (1455) and (220) follows:
% 20.99/5.44 | (2357) op(e0, e3) = e0
% 20.99/5.44 |
% 20.99/5.44 | Instantiating formula (178) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 20.99/5.44 | (297) e4 = e2
% 20.99/5.44 |
% 20.99/5.44 | Instantiating formula (178) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields:
% 20.99/5.44 | (760) e2 = e1
% 20.99/5.44 |
% 20.99/5.44 | Instantiating formula (178) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields:
% 20.99/5.44 | (327) e4 = e0
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (297,327) yields a new equation:
% 20.99/5.44 | (352) e2 = e0
% 20.99/5.44 |
% 20.99/5.44 | Simplifying 352 yields:
% 20.99/5.44 | (353) e2 = e0
% 20.99/5.44 |
% 20.99/5.44 | Combining equations (760,353) yields a new equation:
% 20.99/5.44 | (1156) e1 = e0
% 20.99/5.44 |
% 20.99/5.45 | Simplifying 1156 yields:
% 20.99/5.45 | (871) e1 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (871) can reduce 131 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (493) ~ (unit = e3)
% 20.99/5.45 | (1467) unit = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (1467) can reduce 564 to:
% 20.99/5.45 | (131) ~ (e1 = e0)
% 20.99/5.45 |
% 20.99/5.45 | From (1467) and (112) follows:
% 20.99/5.45 | (1471) op(e3, e1) = e3
% 20.99/5.45 |
% 20.99/5.45 | From (1467) and (220) follows:
% 20.99/5.45 | (1472) op(e0, e1) = e0
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 20.99/5.45 | (833) e3 = e1
% 20.99/5.45 |
% 20.99/5.45 | Instantiating formula (178) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 20.99/5.45 | (1103) e3 = e0
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (833,1103) yields a new equation:
% 20.99/5.45 | (1156) e1 = e0
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 1156 yields:
% 20.99/5.45 | (871) e1 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (871) can reduce 131 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (310) ~ (all_0_9_9 = e1)
% 20.99/5.45 | (309) all_0_11_11 = e1
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (306,309) yields a new equation:
% 20.99/5.45 | (1500) e4 = e1
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 1500 yields:
% 20.99/5.45 | (934) e4 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (934) can reduce 217 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (303) ~ (all_0_11_11 = e4)
% 20.99/5.45 | (301) all_0_12_12 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (374,301) yields a new equation:
% 20.99/5.45 | (297) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (297) can reduce 205 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (232) ~ (all_0_18_18 = e2)
% 20.99/5.45 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (598), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (599) all_0_18_18 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (599) can reduce 674 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (674) ~ (all_0_18_18 = e4)
% 20.99/5.45 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (675), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (420) all_0_18_18 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (420) can reduce 570 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (570) ~ (all_0_18_18 = e0)
% 20.99/5.45 | (679) all_0_18_18 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (679) can reduce 468 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (400) ~ (all_0_6_6 = e4)
% 20.99/5.45 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (213), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (363) all_0_18_18 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (363) can reduce 674 to:
% 20.99/5.45 | (233) ~ (e4 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 233 yields:
% 20.99/5.45 | (205) ~ (e4 = e2)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (211), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (381) all_0_2_2 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (270,381) yields a new equation:
% 20.99/5.45 | (297) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (297) can reduce 205 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (257) ~ (all_0_2_2 = e4)
% 20.99/5.45 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (270) can reduce 257 to:
% 20.99/5.45 | (233) ~ (e4 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 233 yields:
% 20.99/5.45 | (205) ~ (e4 = e2)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (129), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (427) all_0_4_4 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (427,1059) yields a new equation:
% 20.99/5.45 | (847) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 847 yields:
% 20.99/5.45 | (297) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (297) can reduce 205 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (261) ~ (all_0_4_4 = e4)
% 20.99/5.45 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (1059) can reduce 261 to:
% 20.99/5.45 | (233) ~ (e4 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 233 yields:
% 20.99/5.45 | (205) ~ (e4 = e2)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (1397), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (399) all_0_15_15 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (462,399) yields a new equation:
% 20.99/5.45 | (452) e4 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (452) can reduce 24 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (461) ~ (all_0_15_15 = e4)
% 20.99/5.45 | (599) all_0_18_18 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (599,363) yields a new equation:
% 20.99/5.45 | (847) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 847 yields:
% 20.99/5.45 | (297) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (297) can reduce 205 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (232) ~ (all_0_18_18 = e2)
% 20.99/5.45 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (4338), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (222) all_0_10_10 = e2
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (415,222) yields a new equation:
% 20.99/5.45 | (353) e2 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (353) can reduce 45 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (2778) ~ (all_0_10_10 = e2)
% 20.99/5.45 | (5470) all_0_15_15 = e2 | all_0_18_18 = e2
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (5470), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (395) all_0_15_15 = e2
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (462,395) yields a new equation:
% 20.99/5.45 | (545) e3 = e2
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 545 yields:
% 20.99/5.45 | (483) e3 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (483) can reduce 191 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (230) ~ (all_0_15_15 = e2)
% 20.99/5.45 | (363) all_0_18_18 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (363) can reduce 232 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (510) ~ (all_0_17_17 = e4)
% 20.99/5.45 | (1696) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (159), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (1629) all_0_16_16 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (1629,741) yields a new equation:
% 20.99/5.45 | (1500) e4 = e1
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 1500 yields:
% 20.99/5.45 | (934) e4 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (934) can reduce 217 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (1965) ~ (all_0_16_16 = e4)
% 20.99/5.45 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (2264), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (846) all_0_17_17 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (846) can reduce 510 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (510) ~ (all_0_17_17 = e4)
% 20.99/5.45 | (2398) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (2398), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (599) all_0_18_18 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (599) can reduce 155 to:
% 20.99/5.45 | (400) ~ (all_0_6_6 = e4)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (1292), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (459) all_0_5_5 = e1
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (406,459) yields a new equation:
% 20.99/5.45 | (871) e1 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (871) can reduce 131 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (265) ~ (all_0_5_5 = e1)
% 20.99/5.45 | (1385) all_0_7_7 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (1385) can reduce 171 to:
% 20.99/5.45 | (1386) ~ (all_0_11_11 = e1)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 1386 yields:
% 20.99/5.45 | (1387) ~ (all_0_11_11 = e1)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (63), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (356) all_0_9_9 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (356) can reduce 197 to:
% 20.99/5.45 | (1386) ~ (all_0_11_11 = e1)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 1386 yields:
% 20.99/5.45 | (1387) ~ (all_0_11_11 = e1)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (211), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (381) all_0_2_2 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (270,381) yields a new equation:
% 20.99/5.45 | (297) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (297) can reduce 205 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (257) ~ (all_0_2_2 = e4)
% 20.99/5.45 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (270) can reduce 257 to:
% 20.99/5.45 | (233) ~ (e4 = e2)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 233 yields:
% 20.99/5.45 | (205) ~ (e4 = e2)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (129), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (427) all_0_4_4 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (1059,427) yields a new equation:
% 20.99/5.45 | (297) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (297) can reduce 205 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (261) ~ (all_0_4_4 = e4)
% 20.99/5.45 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (269), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (306) all_0_11_11 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (306) can reduce 203 to:
% 20.99/5.45 | (24) ~ (e4 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (306) can reduce 1387 to:
% 20.99/5.45 | (217) ~ (e4 = e1)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (440), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (431) all_0_6_6 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (431) can reduce 400 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (400) ~ (all_0_6_6 = e4)
% 20.99/5.45 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (430), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (431) all_0_6_6 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (431) can reduce 400 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (400) ~ (all_0_6_6 = e4)
% 20.99/5.45 | (434) all_0_7_7 = e4 | all_0_8_8 = e4
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (434), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (435) all_0_7_7 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (1385,435) yields a new equation:
% 20.99/5.45 | (934) e4 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (934) can reduce 217 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (450) ~ (all_0_7_7 = e4)
% 20.99/5.45 | (296) all_0_8_8 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (296,425) yields a new equation:
% 20.99/5.45 | (620) e4 = e3
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 620 yields:
% 20.99/5.45 | (452) e4 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (452) can reduce 24 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (303) ~ (all_0_11_11 = e4)
% 20.99/5.45 | (309) all_0_11_11 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (309) can reduce 1387 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (310) ~ (all_0_9_9 = e1)
% 20.99/5.45 | (309) all_0_11_11 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (309) can reduce 1387 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (674) ~ (all_0_18_18 = e4)
% 20.99/5.45 | (2404) all_0_19_19 = e4 | all_0_20_20 = e4
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (126), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (459) all_0_5_5 = e1
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (406,459) yields a new equation:
% 20.99/5.45 | (871) e1 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (871) can reduce 131 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (265) ~ (all_0_5_5 = e1)
% 20.99/5.45 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (1035), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (356) all_0_9_9 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (356) can reduce 197 to:
% 20.99/5.45 | (1386) ~ (all_0_11_11 = e1)
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 1386 yields:
% 20.99/5.45 | (1387) ~ (all_0_11_11 = e1)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (269), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (306) all_0_11_11 = e4
% 20.99/5.45 |
% 20.99/5.45 | Equations (306) can reduce 203 to:
% 20.99/5.45 | (24) ~ (e4 = e3)
% 20.99/5.45 |
% 20.99/5.45 | Equations (306) can reduce 81 to:
% 20.99/5.45 | (7) ~ (e4 = e0)
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (2404), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (644) all_0_19_19 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (1081,644) yields a new equation:
% 20.99/5.45 | (452) e4 = e3
% 20.99/5.45 |
% 20.99/5.45 | Equations (452) can reduce 24 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (602) ~ (all_0_19_19 = e4)
% 20.99/5.45 | (341) all_0_20_20 = e4
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (345,341) yields a new equation:
% 20.99/5.45 | (327) e4 = e0
% 20.99/5.45 |
% 20.99/5.45 | Equations (327) can reduce 7 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (303) ~ (all_0_11_11 = e4)
% 20.99/5.45 | (309) all_0_11_11 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (309) can reduce 1387 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (310) ~ (all_0_9_9 = e1)
% 20.99/5.45 | (913) all_0_17_17 = e1
% 20.99/5.45 |
% 20.99/5.45 | Equations (913) can reduce 720 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (240) ~ (all_0_4_4 = e2)
% 20.99/5.45 | (2176) all_0_13_13 = e2 | all_0_16_16 = e2
% 20.99/5.45 |
% 20.99/5.45 +-Applying beta-rule and splitting (2176), into two cases.
% 20.99/5.45 |-Branch one:
% 20.99/5.45 | (239) all_0_13_13 = e2
% 20.99/5.45 |
% 20.99/5.45 | Combining equations (1625,239) yields a new equation:
% 20.99/5.45 | (847) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Simplifying 847 yields:
% 20.99/5.45 | (297) e4 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (297) can reduce 205 to:
% 20.99/5.45 | (267) $false
% 20.99/5.45 |
% 20.99/5.45 |-The branch is then unsatisfiable
% 20.99/5.45 |-Branch two:
% 20.99/5.45 | (1961) ~ (all_0_13_13 = e2)
% 20.99/5.45 | (284) all_0_16_16 = e2
% 20.99/5.45 |
% 20.99/5.45 | Equations (284) can reduce 107 to:
% 20.99/5.46 | (1597) ~ (all_0_17_17 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 1597 yields:
% 20.99/5.46 | (361) ~ (all_0_17_17 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Equations (284) can reduce 1965 to:
% 20.99/5.46 | (233) ~ (e4 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 233 yields:
% 20.99/5.46 | (205) ~ (e4 = e2)
% 20.99/5.46 |
% 20.99/5.46 | From (284) and (173) follows:
% 20.99/5.46 | (7922) op(e0, e4) = e2
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (76), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (1002) all_0_4_4 = e1
% 20.99/5.46 |
% 20.99/5.46 | Equations (1002) can reduce 74 to:
% 20.99/5.46 | (3900) ~ (all_0_7_7 = e1)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 3900 yields:
% 20.99/5.46 | (1801) ~ (all_0_7_7 = e1)
% 20.99/5.46 |
% 20.99/5.46 | From (1002) and (179) follows:
% 20.99/5.46 | (1612) op(e3, e4) = e1
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (80), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (437) all_0_6_6 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (437) can reduce 23 to:
% 20.99/5.46 | (2862) ~ (all_0_7_7 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 2862 yields:
% 20.99/5.46 | (537) ~ (all_0_7_7 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Equations (437) can reduce 155 to:
% 20.99/5.46 | (231) ~ (all_0_18_18 = e2)
% 20.99/5.46 |
% 20.99/5.46 | Simplifying 231 yields:
% 20.99/5.46 | (232) ~ (all_0_18_18 = e2)
% 20.99/5.46 |
% 20.99/5.46 | From (437) and (89) follows:
% 20.99/5.46 | (1838) op(e3, e2) = e2
% 20.99/5.46 |
% 20.99/5.46 +-Applying beta-rule and splitting (147), into two cases.
% 20.99/5.46 |-Branch one:
% 20.99/5.46 | (431) all_0_6_6 = e4
% 20.99/5.46 |
% 20.99/5.46 | Combining equations (437,431) yields a new equation:
% 20.99/5.46 | (297) e4 = e2
% 20.99/5.46 |
% 20.99/5.46 | Equations (297) can reduce 205 to:
% 20.99/5.46 | (267) $false
% 20.99/5.46 |
% 20.99/5.46 |-The branch is then unsatisfiable
% 20.99/5.46 |-Branch two:
% 20.99/5.46 | (400) ~ (all_0_6_6 = e4)
% 20.99/5.46 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 20.99/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (1397), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (399) all_0_15_15 = e4
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (462,399) yields a new equation:
% 21.16/5.46 | (452) e4 = e3
% 21.16/5.46 |
% 21.16/5.46 | Equations (452) can reduce 24 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (461) ~ (all_0_15_15 = e4)
% 21.16/5.46 | (599) all_0_18_18 = e4
% 21.16/5.46 |
% 21.16/5.46 | Equations (599) can reduce 137 to:
% 21.16/5.46 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.46 |
% 21.16/5.46 | Equations (599) can reduce 468 to:
% 21.16/5.46 | (24) ~ (e4 = e3)
% 21.16/5.46 |
% 21.16/5.46 | Equations (599) can reduce 232 to:
% 21.16/5.46 | (205) ~ (e4 = e2)
% 21.16/5.46 |
% 21.16/5.46 | Equations (599) can reduce 17 to:
% 21.16/5.46 | (217) ~ (e4 = e1)
% 21.16/5.46 |
% 21.16/5.46 | From (599) and (142) follows:
% 21.16/5.46 | (1408) op(e0, e2) = e4
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (129), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (427) all_0_4_4 = e4
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (1002,427) yields a new equation:
% 21.16/5.46 | (934) e4 = e1
% 21.16/5.46 |
% 21.16/5.46 | Equations (934) can reduce 217 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (261) ~ (all_0_4_4 = e4)
% 21.16/5.46 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 21.16/5.46 |
% 21.16/5.46 | Equations (1002) can reduce 261 to:
% 21.16/5.46 | (721) ~ (e4 = e1)
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 721 yields:
% 21.16/5.46 | (217) ~ (e4 = e1)
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (50), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (790) all_0_1_1 = e4
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (790,804) yields a new equation:
% 21.16/5.46 | (620) e4 = e3
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 620 yields:
% 21.16/5.46 | (452) e4 = e3
% 21.16/5.46 |
% 21.16/5.46 | Equations (452) can reduce 24 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (255) ~ (all_0_1_1 = e4)
% 21.16/5.46 | (793) all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 21.16/5.46 |
% 21.16/5.46 | Equations (804) can reduce 255 to:
% 21.16/5.46 | (807) ~ (e4 = e3)
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 807 yields:
% 21.16/5.46 | (24) ~ (e4 = e3)
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (793), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (315) all_0_9_9 = e4
% 21.16/5.46 |
% 21.16/5.46 | Equations (315) can reduce 163 to:
% 21.16/5.46 | (1630) ~ (all_0_17_17 = e4)
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 1630 yields:
% 21.16/5.46 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.46 |
% 21.16/5.46 | Equations (315) can reduce 124 to:
% 21.16/5.46 | (24) ~ (e4 = e3)
% 21.16/5.46 |
% 21.16/5.46 | Equations (315) can reduce 224 to:
% 21.16/5.46 | (205) ~ (e4 = e2)
% 21.16/5.46 |
% 21.16/5.46 | From (315) and (164) follows:
% 21.16/5.46 | (3019) op(e2, e3) = e4
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (63), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (356) all_0_9_9 = e1
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (315,356) yields a new equation:
% 21.16/5.46 | (1500) e4 = e1
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 1500 yields:
% 21.16/5.46 | (934) e4 = e1
% 21.16/5.46 |
% 21.16/5.46 | Equations (934) can reduce 217 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.46 | (309) all_0_11_11 = e1
% 21.16/5.46 |
% 21.16/5.46 | Equations (309) can reduce 203 to:
% 21.16/5.46 | (743) ~ (e3 = e1)
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 743 yields:
% 21.16/5.46 | (133) ~ (e3 = e1)
% 21.16/5.46 |
% 21.16/5.46 | Equations (309) can reduce 226 to:
% 21.16/5.46 | (1005) ~ (e2 = e1)
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 1005 yields:
% 21.16/5.46 | (134) ~ (e2 = e1)
% 21.16/5.46 |
% 21.16/5.46 | From (309) and (162) follows:
% 21.16/5.46 | (1816) op(e2, e1) = e1
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (11), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (1125) all_0_7_7 = e2
% 21.16/5.46 |
% 21.16/5.46 | Equations (1125) can reduce 537 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (537) ~ (all_0_7_7 = e2)
% 21.16/5.46 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (25), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (741) all_0_16_16 = e1
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (741,284) yields a new equation:
% 21.16/5.46 | (760) e2 = e1
% 21.16/5.46 |
% 21.16/5.46 | Equations (760) can reduce 134 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (911) ~ (all_0_16_16 = e1)
% 21.16/5.46 | (912) all_0_17_17 = e1 | all_0_19_19 = e1
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (211), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (381) all_0_2_2 = e4
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (270,381) yields a new equation:
% 21.16/5.46 | (297) e4 = e2
% 21.16/5.46 |
% 21.16/5.46 | Equations (297) can reduce 205 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (257) ~ (all_0_2_2 = e4)
% 21.16/5.46 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 21.16/5.46 |
% 21.16/5.46 | Equations (270) can reduce 257 to:
% 21.16/5.46 | (233) ~ (e4 = e2)
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 233 yields:
% 21.16/5.46 | (205) ~ (e4 = e2)
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (157), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (288) all_0_17_17 = e2
% 21.16/5.46 |
% 21.16/5.46 | Equations (288) can reduce 361 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (361) ~ (all_0_17_17 = e2)
% 21.16/5.46 | (1689) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (1689), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (846) all_0_17_17 = e4
% 21.16/5.46 |
% 21.16/5.46 | Equations (846) can reduce 510 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.46 | (1696) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (430), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (431) all_0_6_6 = e4
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (437,431) yields a new equation:
% 21.16/5.46 | (297) e4 = e2
% 21.16/5.46 |
% 21.16/5.46 | Equations (297) can reduce 205 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (400) ~ (all_0_6_6 = e4)
% 21.16/5.46 | (434) all_0_7_7 = e4 | all_0_8_8 = e4
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (1696), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (351) all_0_17_17 = e0
% 21.16/5.46 |
% 21.16/5.46 | Equations (351) can reduce 654 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (654) ~ (all_0_17_17 = e0)
% 21.16/5.46 | (1700) all_0_17_17 = e3 | all_0_17_17 = e1
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (3353), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (435) all_0_7_7 = e4
% 21.16/5.46 |
% 21.16/5.46 | From (435) and (144) follows:
% 21.16/5.46 | (7344) op(e3, e1) = e4
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (912), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (913) all_0_17_17 = e1
% 21.16/5.46 |
% 21.16/5.46 | Equations (913) can reduce 1858 to:
% 21.16/5.46 | (743) ~ (e3 = e1)
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 743 yields:
% 21.16/5.46 | (133) ~ (e3 = e1)
% 21.16/5.46 |
% 21.16/5.46 | Equations (913) can reduce 654 to:
% 21.16/5.46 | (131) ~ (e1 = e0)
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (54), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (1420) unit = e2
% 21.16/5.46 |
% 21.16/5.46 | From (1420) and (71) follows:
% 21.16/5.46 | (3044) op(e2, e3) = e3
% 21.16/5.46 |
% 21.16/5.46 | From (1420) and (112) follows:
% 21.16/5.46 | (2453) op(e3, e2) = e3
% 21.16/5.46 |
% 21.16/5.46 | From (1420) and (146) follows:
% 21.16/5.46 | (1422) op(e1, e2) = e1
% 21.16/5.46 |
% 21.16/5.46 | From (1420) and (220) follows:
% 21.16/5.46 | (1423) op(e0, e2) = e0
% 21.16/5.46 |
% 21.16/5.46 | Instantiating formula (178) with e3, e2, e3, e2 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e2, yields:
% 21.16/5.46 | (483) e3 = e2
% 21.16/5.46 |
% 21.16/5.46 | Instantiating formula (178) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields:
% 21.16/5.46 | (452) e4 = e3
% 21.16/5.46 |
% 21.16/5.46 | Instantiating formula (178) with e1, e2, e1, e3 and discharging atoms op(e1, e2) = e3, op(e1, e2) = e1, yields:
% 21.16/5.46 | (833) e3 = e1
% 21.16/5.46 |
% 21.16/5.46 | Instantiating formula (178) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields:
% 21.16/5.46 | (327) e4 = e0
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (452,327) yields a new equation:
% 21.16/5.46 | (1102) e3 = e0
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 1102 yields:
% 21.16/5.46 | (1103) e3 = e0
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (1103,483) yields a new equation:
% 21.16/5.46 | (353) e2 = e0
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (833,483) yields a new equation:
% 21.16/5.46 | (760) e2 = e1
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (760,353) yields a new equation:
% 21.16/5.46 | (1156) e1 = e0
% 21.16/5.46 |
% 21.16/5.46 | Simplifying 1156 yields:
% 21.16/5.46 | (871) e1 = e0
% 21.16/5.46 |
% 21.16/5.46 | Equations (871) can reduce 131 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (1432) ~ (unit = e2)
% 21.16/5.46 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (1433), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (1434) unit = e4
% 21.16/5.46 |
% 21.16/5.46 | From (1434) and (112) follows:
% 21.16/5.46 | (1437) op(e3, e4) = e3
% 21.16/5.46 |
% 21.16/5.46 | From (1434) and (169) follows:
% 21.16/5.46 | (1438) op(e2, e4) = e2
% 21.16/5.46 |
% 21.16/5.46 | From (1434) and (220) follows:
% 21.16/5.46 | (8040) op(e0, e4) = e0
% 21.16/5.46 |
% 21.16/5.46 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 21.16/5.46 | (833) e3 = e1
% 21.16/5.46 |
% 21.16/5.46 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 21.16/5.46 | (483) e3 = e2
% 21.16/5.46 |
% 21.16/5.46 | Instantiating formula (178) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 21.16/5.46 | (353) e2 = e0
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (833,483) yields a new equation:
% 21.16/5.46 | (760) e2 = e1
% 21.16/5.46 |
% 21.16/5.46 | Combining equations (353,760) yields a new equation:
% 21.16/5.46 | (871) e1 = e0
% 21.16/5.46 |
% 21.16/5.46 | Equations (871) can reduce 131 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (1449) ~ (unit = e4)
% 21.16/5.46 | (1450) unit = e3 | unit = e1 | unit = e0
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (1450), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.46 | (1451) unit = e0
% 21.16/5.46 |
% 21.16/5.46 | From (1451) and (130) follows:
% 21.16/5.46 | (1813) op(e0, e1) = e1
% 21.16/5.46 |
% 21.16/5.46 | Instantiating formula (178) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 21.16/5.46 | (833) e3 = e1
% 21.16/5.46 |
% 21.16/5.46 | Equations (833) can reduce 133 to:
% 21.16/5.46 | (267) $false
% 21.16/5.46 |
% 21.16/5.46 |-The branch is then unsatisfiable
% 21.16/5.46 |-Branch two:
% 21.16/5.46 | (564) ~ (unit = e0)
% 21.16/5.46 | (1454) unit = e3 | unit = e1
% 21.16/5.46 |
% 21.16/5.46 +-Applying beta-rule and splitting (1454), into two cases.
% 21.16/5.46 |-Branch one:
% 21.16/5.47 | (1455) unit = e3
% 21.16/5.47 |
% 21.16/5.47 | From (1455) and (130) follows:
% 21.16/5.47 | (1388) op(e3, e1) = e1
% 21.16/5.47 |
% 21.16/5.47 | From (1455) and (42) follows:
% 21.16/5.47 | (1456) op(e3, e0) = e0
% 21.16/5.47 |
% 21.16/5.47 | From (1455) and (199) follows:
% 21.16/5.47 | (1457) op(e4, e3) = e4
% 21.16/5.47 |
% 21.16/5.47 | Instantiating formula (178) with e4, e3, e4, e3 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields:
% 21.16/5.47 | (452) e4 = e3
% 21.16/5.47 |
% 21.16/5.47 | Instantiating formula (178) with e3, e1, e1, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e1, yields:
% 21.16/5.47 | (934) e4 = e1
% 21.16/5.47 |
% 21.16/5.47 | Instantiating formula (178) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 21.16/5.47 | (1103) e3 = e0
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (452,934) yields a new equation:
% 21.16/5.47 | (832) e3 = e1
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 832 yields:
% 21.16/5.47 | (833) e3 = e1
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (833,1103) yields a new equation:
% 21.16/5.47 | (1156) e1 = e0
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 1156 yields:
% 21.16/5.47 | (871) e1 = e0
% 21.16/5.47 |
% 21.16/5.47 | Equations (871) can reduce 131 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (493) ~ (unit = e3)
% 21.16/5.47 | (1467) unit = e1
% 21.16/5.47 |
% 21.16/5.47 | Equations (1467) can reduce 564 to:
% 21.16/5.47 | (131) ~ (e1 = e0)
% 21.16/5.47 |
% 21.16/5.47 | From (1467) and (199) follows:
% 21.16/5.47 | (5360) op(e4, e1) = e4
% 21.16/5.47 |
% 21.16/5.47 | From (1467) and (112) follows:
% 21.16/5.47 | (1471) op(e3, e1) = e3
% 21.16/5.47 |
% 21.16/5.47 | From (1467) and (169) follows:
% 21.16/5.47 | (3099) op(e2, e1) = e2
% 21.16/5.47 |
% 21.16/5.47 | From (1467) and (220) follows:
% 21.16/5.47 | (1472) op(e0, e1) = e0
% 21.16/5.47 |
% 21.16/5.47 | Instantiating formula (178) with e4, e1, e4, e2 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e2, yields:
% 21.16/5.47 | (297) e4 = e2
% 21.16/5.47 |
% 21.16/5.47 | Instantiating formula (178) with e3, e1, e3, e4 and discharging atoms op(e3, e1) = e4, op(e3, e1) = e3, yields:
% 21.16/5.47 | (452) e4 = e3
% 21.16/5.47 |
% 21.16/5.47 | Instantiating formula (178) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 21.16/5.47 | (760) e2 = e1
% 21.16/5.47 |
% 21.16/5.47 | Instantiating formula (178) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 21.16/5.47 | (1103) e3 = e0
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (297,452) yields a new equation:
% 21.16/5.47 | (483) e3 = e2
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (483,1103) yields a new equation:
% 21.16/5.47 | (352) e2 = e0
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 352 yields:
% 21.16/5.47 | (353) e2 = e0
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (353,760) yields a new equation:
% 21.16/5.47 | (871) e1 = e0
% 21.16/5.47 |
% 21.16/5.47 | Equations (871) can reduce 131 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (720) ~ (all_0_17_17 = e1)
% 21.16/5.47 | (916) all_0_19_19 = e1
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (1081,916) yields a new equation:
% 21.16/5.47 | (832) e3 = e1
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 832 yields:
% 21.16/5.47 | (833) e3 = e1
% 21.16/5.47 |
% 21.16/5.47 | Equations (833) can reduce 133 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.47 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (624), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (435) all_0_7_7 = e4
% 21.16/5.47 |
% 21.16/5.47 | Equations (435) can reduce 450 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.47 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (434), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (435) all_0_7_7 = e4
% 21.16/5.47 |
% 21.16/5.47 | Equations (435) can reduce 450 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.47 | (296) all_0_8_8 = e4
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (296,425) yields a new equation:
% 21.16/5.47 | (620) e4 = e3
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 620 yields:
% 21.16/5.47 | (452) e4 = e3
% 21.16/5.47 |
% 21.16/5.47 | Equations (452) can reduce 24 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (302) ~ (all_0_9_9 = e4)
% 21.16/5.47 | (801) all_0_14_14 = e4 | all_0_17_17 = e4
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (11), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (1125) all_0_7_7 = e2
% 21.16/5.47 |
% 21.16/5.47 | Equations (1125) can reduce 537 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (537) ~ (all_0_7_7 = e2)
% 21.16/5.47 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (430), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (431) all_0_6_6 = e4
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (437,431) yields a new equation:
% 21.16/5.47 | (297) e4 = e2
% 21.16/5.47 |
% 21.16/5.47 | Equations (297) can reduce 205 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (400) ~ (all_0_6_6 = e4)
% 21.16/5.47 | (434) all_0_7_7 = e4 | all_0_8_8 = e4
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (434), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (435) all_0_7_7 = e4
% 21.16/5.47 |
% 21.16/5.47 | Equations (435) can reduce 537 to:
% 21.16/5.47 | (205) ~ (e4 = e2)
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (801), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (470) all_0_14_14 = e4
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (387,470) yields a new equation:
% 21.16/5.47 | (297) e4 = e2
% 21.16/5.47 |
% 21.16/5.47 | Equations (297) can reduce 205 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (514) ~ (all_0_14_14 = e4)
% 21.16/5.47 | (846) all_0_17_17 = e4
% 21.16/5.47 |
% 21.16/5.47 | Equations (846) can reduce 510 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.47 | (296) all_0_8_8 = e4
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (296,425) yields a new equation:
% 21.16/5.47 | (620) e4 = e3
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 620 yields:
% 21.16/5.47 | (452) e4 = e3
% 21.16/5.47 |
% 21.16/5.47 | Equations (452) can reduce 24 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (223) ~ (all_0_6_6 = e2)
% 21.16/5.47 | (4338) all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (180), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (437) all_0_6_6 = e2
% 21.16/5.47 |
% 21.16/5.47 | Equations (437) can reduce 223 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (223) ~ (all_0_6_6 = e2)
% 21.16/5.47 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (440), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (431) all_0_6_6 = e4
% 21.16/5.47 |
% 21.16/5.47 | Equations (431) can reduce 23 to:
% 21.16/5.47 | (2218) ~ (all_0_7_7 = e4)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 2218 yields:
% 21.16/5.47 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (11), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (1125) all_0_7_7 = e2
% 21.16/5.47 |
% 21.16/5.47 | Equations (1125) can reduce 537 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (537) ~ (all_0_7_7 = e2)
% 21.16/5.47 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (3353), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (435) all_0_7_7 = e4
% 21.16/5.47 |
% 21.16/5.47 | Equations (435) can reduce 450 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.47 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (3357), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (713) all_0_7_7 = e3
% 21.16/5.47 |
% 21.16/5.47 | Equations (713) can reduce 1269 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (1269) ~ (all_0_7_7 = e3)
% 21.16/5.47 | (1385) all_0_7_7 = e1
% 21.16/5.47 |
% 21.16/5.47 | Equations (1385) can reduce 1801 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (400) ~ (all_0_6_6 = e4)
% 21.16/5.47 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (444), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (411) all_0_6_6 = e0
% 21.16/5.47 |
% 21.16/5.47 | Equations (411) can reduce 408 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (408) ~ (all_0_6_6 = e0)
% 21.16/5.47 | (448) all_0_6_6 = e3
% 21.16/5.47 |
% 21.16/5.47 | Equations (448) can reduce 426 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (742) ~ (all_0_4_4 = e1)
% 21.16/5.47 | (741) all_0_16_16 = e1
% 21.16/5.47 |
% 21.16/5.47 | Combining equations (284,741) yields a new equation:
% 21.16/5.47 | (759) e2 = e1
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 759 yields:
% 21.16/5.47 | (760) e2 = e1
% 21.16/5.47 |
% 21.16/5.47 | Equations (760) can reduce 134 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (422) ~ (all_0_5_5 = e0)
% 21.16/5.47 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (455), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (456) all_0_5_5 = e3
% 21.16/5.47 |
% 21.16/5.47 | Equations (456) can reduce 392 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (392) ~ (all_0_5_5 = e3)
% 21.16/5.47 | (459) all_0_5_5 = e1
% 21.16/5.47 |
% 21.16/5.47 | Equations (459) can reduce 265 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (459) all_0_5_5 = e1
% 21.16/5.47 | (713) all_0_7_7 = e3
% 21.16/5.47 |
% 21.16/5.47 | Equations (459) can reduce 39 to:
% 21.16/5.47 | (742) ~ (all_0_4_4 = e1)
% 21.16/5.47 |
% 21.16/5.47 | Equations (713) can reduce 74 to:
% 21.16/5.47 | (28) ~ (all_0_4_4 = e3)
% 21.16/5.47 |
% 21.16/5.47 | Equations (459) can reduce 3 to:
% 21.16/5.47 | (1610) ~ (all_0_6_6 = e1)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 1610 yields:
% 21.16/5.47 | (34) ~ (all_0_6_6 = e1)
% 21.16/5.47 |
% 21.16/5.47 | Equations (459) can reduce 66 to:
% 21.16/5.47 | (715) ~ (all_0_8_8 = e1)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 715 yields:
% 21.16/5.47 | (195) ~ (all_0_8_8 = e1)
% 21.16/5.47 |
% 21.16/5.47 | Equations (459) can reduce 2 to:
% 21.16/5.47 | (717) ~ (all_0_9_9 = e1)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 717 yields:
% 21.16/5.47 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.47 |
% 21.16/5.47 | Equations (713) can reduce 23 to:
% 21.16/5.47 | (426) ~ (all_0_6_6 = e3)
% 21.16/5.47 |
% 21.16/5.47 | Equations (713) can reduce 49 to:
% 21.16/5.47 | (723) ~ (all_0_8_8 = e3)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 723 yields:
% 21.16/5.47 | (724) ~ (all_0_8_8 = e3)
% 21.16/5.47 |
% 21.16/5.47 | Equations (713) can reduce 48 to:
% 21.16/5.47 | (967) ~ (all_0_19_19 = e3)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 967 yields:
% 21.16/5.47 | (968) ~ (all_0_19_19 = e3)
% 21.16/5.47 |
% 21.16/5.47 | Equations (713) can reduce 4 to:
% 21.16/5.47 | (61) ~ (e3 = e0)
% 21.16/5.47 |
% 21.16/5.47 | From (713) and (144) follows:
% 21.16/5.47 | (1471) op(e3, e1) = e3
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (76), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (1002) all_0_4_4 = e1
% 21.16/5.47 |
% 21.16/5.47 | Equations (1002) can reduce 742 to:
% 21.16/5.47 | (267) $false
% 21.16/5.47 |
% 21.16/5.47 |-The branch is then unsatisfiable
% 21.16/5.47 |-Branch two:
% 21.16/5.47 | (742) ~ (all_0_4_4 = e1)
% 21.16/5.47 | (741) all_0_16_16 = e1
% 21.16/5.47 |
% 21.16/5.47 | Equations (741) can reduce 161 to:
% 21.16/5.47 | (2856) ~ (all_0_18_18 = e1)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 2856 yields:
% 21.16/5.47 | (17) ~ (all_0_18_18 = e1)
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (62), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (1059) all_0_4_4 = e2
% 21.16/5.47 |
% 21.16/5.47 | Equations (1059) can reduce 99 to:
% 21.16/5.47 | (2210) ~ (all_0_6_6 = e2)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 2210 yields:
% 21.16/5.47 | (223) ~ (all_0_6_6 = e2)
% 21.16/5.47 |
% 21.16/5.47 | Equations (1059) can reduce 93 to:
% 21.16/5.47 | (2102) ~ (all_0_8_8 = e2)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 2102 yields:
% 21.16/5.47 | (372) ~ (all_0_8_8 = e2)
% 21.16/5.47 |
% 21.16/5.47 | Equations (1059) can reduce 261 to:
% 21.16/5.47 | (233) ~ (e4 = e2)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 233 yields:
% 21.16/5.47 | (205) ~ (e4 = e2)
% 21.16/5.47 |
% 21.16/5.47 | Equations (1059) can reduce 28 to:
% 21.16/5.47 | (235) ~ (e3 = e2)
% 21.16/5.47 |
% 21.16/5.47 | Simplifying 235 yields:
% 21.16/5.47 | (191) ~ (e3 = e2)
% 21.16/5.47 |
% 21.16/5.47 +-Applying beta-rule and splitting (129), into two cases.
% 21.16/5.47 |-Branch one:
% 21.16/5.47 | (427) all_0_4_4 = e4
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (427,1059) yields a new equation:
% 21.16/5.48 | (847) e4 = e2
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 847 yields:
% 21.16/5.48 | (297) e4 = e2
% 21.16/5.48 |
% 21.16/5.48 | Equations (297) can reduce 205 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (261) ~ (all_0_4_4 = e4)
% 21.16/5.48 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (430), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (431) all_0_6_6 = e4
% 21.16/5.48 |
% 21.16/5.48 | Equations (431) can reduce 138 to:
% 21.16/5.48 | (1986) ~ (all_0_8_8 = e4)
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 1986 yields:
% 21.16/5.48 | (299) ~ (all_0_8_8 = e4)
% 21.16/5.48 |
% 21.16/5.48 | Equations (431) can reduce 426 to:
% 21.16/5.48 | (24) ~ (e4 = e3)
% 21.16/5.48 |
% 21.16/5.48 | Equations (431) can reduce 223 to:
% 21.16/5.48 | (205) ~ (e4 = e2)
% 21.16/5.48 |
% 21.16/5.48 | Equations (431) can reduce 34 to:
% 21.16/5.48 | (217) ~ (e4 = e1)
% 21.16/5.48 |
% 21.16/5.48 | Equations (431) can reduce 408 to:
% 21.16/5.48 | (7) ~ (e4 = e0)
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (63), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (356) all_0_9_9 = e1
% 21.16/5.48 |
% 21.16/5.48 | Equations (356) can reduce 310 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.48 | (309) all_0_11_11 = e1
% 21.16/5.48 |
% 21.16/5.48 | Equations (309) can reduce 81 to:
% 21.16/5.48 | (131) ~ (e1 = e0)
% 21.16/5.48 |
% 21.16/5.48 | From (309) and (162) follows:
% 21.16/5.48 | (1816) op(e2, e1) = e1
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (31), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (331) all_0_1_1 = e0
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (331,804) yields a new equation:
% 21.16/5.48 | (1103) e3 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (1103) can reduce 61 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (320) ~ (all_0_1_1 = e0)
% 21.16/5.48 | (869) all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (211), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (381) all_0_2_2 = e4
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (270,381) yields a new equation:
% 21.16/5.48 | (297) e4 = e2
% 21.16/5.48 |
% 21.16/5.48 | Equations (297) can reduce 205 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (257) ~ (all_0_2_2 = e4)
% 21.16/5.48 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (869), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (406) all_0_5_5 = e0
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (459,406) yields a new equation:
% 21.16/5.48 | (1156) e1 = e0
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 1156 yields:
% 21.16/5.48 | (871) e1 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (871) can reduce 131 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (422) ~ (all_0_5_5 = e0)
% 21.16/5.48 | (874) all_0_9_9 = e0 | all_0_17_17 = e0
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (624), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (435) all_0_7_7 = e4
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (713,435) yields a new equation:
% 21.16/5.48 | (452) e4 = e3
% 21.16/5.48 |
% 21.16/5.48 | Equations (452) can reduce 24 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.48 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (874), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (319) all_0_9_9 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (319) can reduce 355 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (355) ~ (all_0_9_9 = e0)
% 21.16/5.48 | (351) all_0_17_17 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (351) can reduce 137 to:
% 21.16/5.48 | (593) ~ (all_0_18_18 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 593 yields:
% 21.16/5.48 | (570) ~ (all_0_18_18 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Equations (351) can reduce 26 to:
% 21.16/5.48 | (335) ~ (all_0_20_20 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 335 yields:
% 21.16/5.48 | (336) ~ (all_0_20_20 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Equations (351) can reduce 361 to:
% 21.16/5.48 | (323) ~ (e2 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 323 yields:
% 21.16/5.48 | (45) ~ (e2 = e0)
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (67), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (334) all_0_3_3 = e0
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (334,292) yields a new equation:
% 21.16/5.48 | (327) e4 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (327) can reduce 7 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (581) ~ (all_0_3_3 = e0)
% 21.16/5.48 | (2565) all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (628), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (306) all_0_11_11 = e4
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (309,306) yields a new equation:
% 21.16/5.48 | (934) e4 = e1
% 21.16/5.48 |
% 21.16/5.48 | Equations (934) can reduce 217 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (303) ~ (all_0_11_11 = e4)
% 21.16/5.48 | (644) all_0_19_19 = e4
% 21.16/5.48 |
% 21.16/5.48 | Equations (644) can reduce 154 to:
% 21.16/5.48 | (674) ~ (all_0_18_18 = e4)
% 21.16/5.48 |
% 21.16/5.48 | Equations (644) can reduce 968 to:
% 21.16/5.48 | (24) ~ (e4 = e3)
% 21.16/5.48 |
% 21.16/5.48 | Equations (644) can reduce 274 to:
% 21.16/5.48 | (205) ~ (e4 = e2)
% 21.16/5.48 |
% 21.16/5.48 | From (644) and (209) follows:
% 21.16/5.48 | (3042) op(e0, e1) = e4
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (2565), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (2154) all_0_8_8 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (2154) can reduce 193 to:
% 21.16/5.48 | (335) ~ (all_0_20_20 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 335 yields:
% 21.16/5.48 | (336) ~ (all_0_20_20 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Equations (2154) can reduce 299 to:
% 21.16/5.48 | (321) ~ (e4 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 321 yields:
% 21.16/5.48 | (7) ~ (e4 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Equations (2154) can reduce 724 to:
% 21.16/5.48 | (996) ~ (e3 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 996 yields:
% 21.16/5.48 | (61) ~ (e3 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Equations (2154) can reduce 372 to:
% 21.16/5.48 | (323) ~ (e2 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 323 yields:
% 21.16/5.48 | (45) ~ (e2 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Equations (2154) can reduce 195 to:
% 21.16/5.48 | (788) ~ (e1 = e0)
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 788 yields:
% 21.16/5.48 | (131) ~ (e1 = e0)
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (80), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (437) all_0_6_6 = e2
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (431,437) yields a new equation:
% 21.16/5.48 | (847) e4 = e2
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 847 yields:
% 21.16/5.48 | (297) e4 = e2
% 21.16/5.48 |
% 21.16/5.48 | Equations (297) can reduce 205 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (223) ~ (all_0_6_6 = e2)
% 21.16/5.48 | (4338) all_0_10_10 = e2 | all_0_15_15 = e2 | all_0_18_18 = e2
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (50), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (790) all_0_1_1 = e4
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (790,804) yields a new equation:
% 21.16/5.48 | (620) e4 = e3
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 620 yields:
% 21.16/5.48 | (452) e4 = e3
% 21.16/5.48 |
% 21.16/5.48 | Equations (452) can reduce 24 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (255) ~ (all_0_1_1 = e4)
% 21.16/5.48 | (793) all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (4338), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (222) all_0_10_10 = e2
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (415,222) yields a new equation:
% 21.16/5.48 | (353) e2 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (353) can reduce 45 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (2778) ~ (all_0_10_10 = e2)
% 21.16/5.48 | (5470) all_0_15_15 = e2 | all_0_18_18 = e2
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (793), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (315) all_0_9_9 = e4
% 21.16/5.48 |
% 21.16/5.48 | Equations (315) can reduce 124 to:
% 21.16/5.48 | (24) ~ (e4 = e3)
% 21.16/5.48 |
% 21.16/5.48 | From (315) and (164) follows:
% 21.16/5.48 | (3019) op(e2, e3) = e4
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (5470), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (395) all_0_15_15 = e2
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (395,462) yields a new equation:
% 21.16/5.48 | (483) e3 = e2
% 21.16/5.48 |
% 21.16/5.48 | Equations (483) can reduce 191 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (230) ~ (all_0_15_15 = e2)
% 21.16/5.48 | (363) all_0_18_18 = e2
% 21.16/5.48 |
% 21.16/5.48 | Equations (363) can reduce 17 to:
% 21.16/5.48 | (134) ~ (e2 = e1)
% 21.16/5.48 |
% 21.16/5.48 | Equations (363) can reduce 570 to:
% 21.16/5.48 | (45) ~ (e2 = e0)
% 21.16/5.48 |
% 21.16/5.48 | From (363) and (142) follows:
% 21.16/5.48 | (3075) op(e0, e2) = e2
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (160), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (672) all_0_3_3 = e3
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (672,292) yields a new equation:
% 21.16/5.48 | (452) e4 = e3
% 21.16/5.48 |
% 21.16/5.48 | Equations (452) can reduce 24 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (386) ~ (all_0_3_3 = e3)
% 21.16/5.48 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (822), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (425) all_0_8_8 = e3
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (425,2154) yields a new equation:
% 21.16/5.48 | (1102) e3 = e0
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 1102 yields:
% 21.16/5.48 | (1103) e3 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (1103) can reduce 61 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (724) ~ (all_0_8_8 = e3)
% 21.16/5.48 | (348) all_0_20_20 = e3
% 21.16/5.48 |
% 21.16/5.48 | Equations (348) can reduce 336 to:
% 21.16/5.48 | (61) ~ (e3 = e0)
% 21.16/5.48 |
% 21.16/5.48 | From (348) and (96) follows:
% 21.16/5.48 | (8313) op(e0, e0) = e3
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (54), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (1420) unit = e2
% 21.16/5.48 |
% 21.16/5.48 | From (1420) and (220) follows:
% 21.16/5.48 | (1423) op(e0, e2) = e0
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 21.16/5.48 | (353) e2 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (353) can reduce 45 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (1432) ~ (unit = e2)
% 21.16/5.48 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (1433), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (1434) unit = e4
% 21.16/5.48 |
% 21.16/5.48 | From (1434) and (42) follows:
% 21.16/5.48 | (1436) op(e4, e0) = e0
% 21.16/5.48 |
% 21.16/5.48 | From (1434) and (146) follows:
% 21.16/5.48 | (2338) op(e1, e4) = e1
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 21.16/5.48 | (327) e4 = e0
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 21.16/5.48 | (934) e4 = e1
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (934,327) yields a new equation:
% 21.16/5.48 | (1156) e1 = e0
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 1156 yields:
% 21.16/5.48 | (871) e1 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (871) can reduce 131 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (1449) ~ (unit = e4)
% 21.16/5.48 | (1450) unit = e3 | unit = e1 | unit = e0
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (1450), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (1451) unit = e0
% 21.16/5.48 |
% 21.16/5.48 | From (1451) and (220) follows:
% 21.16/5.48 | (2349) op(e0, e0) = e0
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e0, e0, e0, e3 and discharging atoms op(e0, e0) = e3, op(e0, e0) = e0, yields:
% 21.16/5.48 | (1103) e3 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (1103) can reduce 61 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (564) ~ (unit = e0)
% 21.16/5.48 | (1454) unit = e3 | unit = e1
% 21.16/5.48 |
% 21.16/5.48 +-Applying beta-rule and splitting (1454), into two cases.
% 21.16/5.48 |-Branch one:
% 21.16/5.48 | (1455) unit = e3
% 21.16/5.48 |
% 21.16/5.48 | From (1455) and (130) follows:
% 21.16/5.48 | (1388) op(e3, e1) = e1
% 21.16/5.48 |
% 21.16/5.48 | From (1455) and (199) follows:
% 21.16/5.48 | (1457) op(e4, e3) = e4
% 21.16/5.48 |
% 21.16/5.48 | From (1455) and (169) follows:
% 21.16/5.48 | (3089) op(e2, e3) = e2
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e4, e3, e4, e3 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields:
% 21.16/5.48 | (452) e4 = e3
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e3, e1, e1, e3 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 21.16/5.48 | (833) e3 = e1
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields:
% 21.16/5.48 | (297) e4 = e2
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (452,297) yields a new equation:
% 21.16/5.48 | (545) e3 = e2
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 545 yields:
% 21.16/5.48 | (483) e3 = e2
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (483,833) yields a new equation:
% 21.16/5.48 | (759) e2 = e1
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 759 yields:
% 21.16/5.48 | (760) e2 = e1
% 21.16/5.48 |
% 21.16/5.48 | Equations (760) can reduce 134 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.48 |-Branch two:
% 21.16/5.48 | (493) ~ (unit = e3)
% 21.16/5.48 | (1467) unit = e1
% 21.16/5.48 |
% 21.16/5.48 | Equations (1467) can reduce 564 to:
% 21.16/5.48 | (131) ~ (e1 = e0)
% 21.16/5.48 |
% 21.16/5.48 | From (1467) and (199) follows:
% 21.16/5.48 | (5360) op(e4, e1) = e4
% 21.16/5.48 |
% 21.16/5.48 | From (1467) and (169) follows:
% 21.16/5.48 | (3099) op(e2, e1) = e2
% 21.16/5.48 |
% 21.16/5.48 | From (1467) and (220) follows:
% 21.16/5.48 | (1472) op(e0, e1) = e0
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e4, e1, e4, e2 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e2, yields:
% 21.16/5.48 | (297) e4 = e2
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 21.16/5.48 | (760) e2 = e1
% 21.16/5.48 |
% 21.16/5.48 | Instantiating formula (178) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields:
% 21.16/5.48 | (327) e4 = e0
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (297,327) yields a new equation:
% 21.16/5.48 | (352) e2 = e0
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 352 yields:
% 21.16/5.48 | (353) e2 = e0
% 21.16/5.48 |
% 21.16/5.48 | Combining equations (760,353) yields a new equation:
% 21.16/5.48 | (1156) e1 = e0
% 21.16/5.48 |
% 21.16/5.48 | Simplifying 1156 yields:
% 21.16/5.48 | (871) e1 = e0
% 21.16/5.48 |
% 21.16/5.48 | Equations (871) can reduce 131 to:
% 21.16/5.48 | (267) $false
% 21.16/5.48 |
% 21.16/5.48 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (302) ~ (all_0_9_9 = e4)
% 21.16/5.49 | (801) all_0_14_14 = e4 | all_0_17_17 = e4
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (5470), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (395) all_0_15_15 = e2
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (395,462) yields a new equation:
% 21.16/5.49 | (483) e3 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (483) can reduce 191 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (230) ~ (all_0_15_15 = e2)
% 21.16/5.49 | (363) all_0_18_18 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (363) can reduce 674 to:
% 21.16/5.49 | (233) ~ (e4 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 233 yields:
% 21.16/5.49 | (205) ~ (e4 = e2)
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (801), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (470) all_0_14_14 = e4
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (387,470) yields a new equation:
% 21.16/5.49 | (297) e4 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (297) can reduce 205 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (514) ~ (all_0_14_14 = e4)
% 21.16/5.49 | (846) all_0_17_17 = e4
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (846,351) yields a new equation:
% 21.16/5.49 | (657) e4 = e0
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 657 yields:
% 21.16/5.49 | (327) e4 = e0
% 21.16/5.49 |
% 21.16/5.49 | Equations (327) can reduce 7 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (1185) ~ (all_0_8_8 = e0)
% 21.16/5.49 | (2569) all_0_12_12 = e0 | all_0_20_20 = e0
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (2569), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (580) all_0_12_12 = e0
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (374,580) yields a new equation:
% 21.16/5.49 | (352) e2 = e0
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 352 yields:
% 21.16/5.49 | (353) e2 = e0
% 21.16/5.49 |
% 21.16/5.49 | Equations (353) can reduce 45 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (2718) ~ (all_0_12_12 = e0)
% 21.16/5.49 | (345) all_0_20_20 = e0
% 21.16/5.49 |
% 21.16/5.49 | Equations (345) can reduce 336 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (400) ~ (all_0_6_6 = e4)
% 21.16/5.49 | (434) all_0_7_7 = e4 | all_0_8_8 = e4
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (434), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (435) all_0_7_7 = e4
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (713,435) yields a new equation:
% 21.16/5.49 | (452) e4 = e3
% 21.16/5.49 |
% 21.16/5.49 | Equations (452) can reduce 24 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.49 | (296) all_0_8_8 = e4
% 21.16/5.49 |
% 21.16/5.49 | Equations (296) can reduce 299 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (240) ~ (all_0_4_4 = e2)
% 21.16/5.49 | (5402) all_0_4_4 = e4 | all_0_4_4 = e1 | all_0_4_4 = e0
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (63), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (356) all_0_9_9 = e1
% 21.16/5.49 |
% 21.16/5.49 | Equations (356) can reduce 310 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.49 | (309) all_0_11_11 = e1
% 21.16/5.49 |
% 21.16/5.49 | Equations (309) can reduce 226 to:
% 21.16/5.49 | (1005) ~ (e2 = e1)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 1005 yields:
% 21.16/5.49 | (134) ~ (e2 = e1)
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (79), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (1059) all_0_4_4 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (1059) can reduce 240 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (240) ~ (all_0_4_4 = e2)
% 21.16/5.49 | (2176) all_0_13_13 = e2 | all_0_16_16 = e2
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (2176), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (239) all_0_13_13 = e2
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (1625,239) yields a new equation:
% 21.16/5.49 | (847) e4 = e2
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 847 yields:
% 21.16/5.49 | (297) e4 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (297) can reduce 205 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (1961) ~ (all_0_13_13 = e2)
% 21.16/5.49 | (284) all_0_16_16 = e2
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (284,741) yields a new equation:
% 21.16/5.49 | (759) e2 = e1
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 759 yields:
% 21.16/5.49 | (760) e2 = e1
% 21.16/5.49 |
% 21.16/5.49 | Equations (760) can reduce 134 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (829) ~ (all_0_1_1 = e3)
% 21.16/5.49 | (1647) all_0_2_2 = e3 | all_0_3_3 = e3
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (2020), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (331) all_0_1_1 = e0
% 21.16/5.49 |
% 21.16/5.49 | Equations (331) can reduce 320 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (320) ~ (all_0_1_1 = e0)
% 21.16/5.49 | (804) all_0_1_1 = e3
% 21.16/5.49 |
% 21.16/5.49 | Equations (804) can reduce 829 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (379) ~ (all_0_2_2 = e2)
% 21.16/5.49 | (277) all_0_3_3 = e2
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (277,292) yields a new equation:
% 21.16/5.49 | (297) e4 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (297) can reduce 205 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (242) ~ (all_0_14_14 = e2)
% 21.16/5.49 | (390) all_0_14_14 = e4 | all_0_14_14 = e3
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (87), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (239) all_0_13_13 = e2
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (239,1625) yields a new equation:
% 21.16/5.49 | (297) e4 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (297) can reduce 205 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (1961) ~ (all_0_13_13 = e2)
% 21.16/5.49 | (1997) all_0_14_14 = e2 | all_0_15_15 = e2
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (390), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (470) all_0_14_14 = e4
% 21.16/5.49 |
% 21.16/5.49 | Equations (470) can reduce 514 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (514) ~ (all_0_14_14 = e4)
% 21.16/5.49 | (391) all_0_14_14 = e3
% 21.16/5.49 |
% 21.16/5.49 | Equations (391) can reduce 136 to:
% 21.16/5.49 | (829) ~ (all_0_1_1 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (391) can reduce 88 to:
% 21.16/5.49 | (392) ~ (all_0_5_5 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (391) can reduce 210 to:
% 21.16/5.49 | (124) ~ (all_0_9_9 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (391) can reduce 38 to:
% 21.16/5.49 | (393) ~ (all_0_15_15 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 393 yields:
% 21.16/5.49 | (394) ~ (all_0_15_15 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (391) can reduce 104 to:
% 21.16/5.49 | (2029) ~ (all_0_17_17 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 2029 yields:
% 21.16/5.49 | (1858) ~ (all_0_17_17 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (391) can reduce 514 to:
% 21.16/5.49 | (807) ~ (e4 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 807 yields:
% 21.16/5.49 | (24) ~ (e4 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (391) can reduce 242 to:
% 21.16/5.49 | (191) ~ (e3 = e2)
% 21.16/5.49 |
% 21.16/5.49 | From (391) and (117) follows:
% 21.16/5.49 | (1470) op(e1, e3) = e3
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (122), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (804) all_0_1_1 = e3
% 21.16/5.49 |
% 21.16/5.49 | Equations (804) can reduce 829 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (829) ~ (all_0_1_1 = e3)
% 21.16/5.49 | (1647) all_0_2_2 = e3 | all_0_3_3 = e3
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (1647), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (384) all_0_2_2 = e3
% 21.16/5.49 |
% 21.16/5.49 | Equations (384) can reduce 9 to:
% 21.16/5.49 | (1268) ~ (all_0_7_7 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 1268 yields:
% 21.16/5.49 | (1269) ~ (all_0_7_7 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (384) can reduce 132 to:
% 21.16/5.49 | (3477) ~ (all_0_11_11 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 3477 yields:
% 21.16/5.49 | (203) ~ (all_0_11_11 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (384) can reduce 84 to:
% 21.16/5.49 | (967) ~ (all_0_19_19 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 967 yields:
% 21.16/5.49 | (968) ~ (all_0_19_19 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (384) can reduce 257 to:
% 21.16/5.49 | (807) ~ (e4 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 807 yields:
% 21.16/5.49 | (24) ~ (e4 = e3)
% 21.16/5.49 |
% 21.16/5.49 | From (384) and (189) follows:
% 21.16/5.49 | (1270) op(e4, e1) = e3
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (125), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (265) ~ (all_0_5_5 = e1)
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (1997), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (387) all_0_14_14 = e2
% 21.16/5.49 |
% 21.16/5.49 | Combining equations (391,387) yields a new equation:
% 21.16/5.49 | (545) e3 = e2
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 545 yields:
% 21.16/5.49 | (483) e3 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (483) can reduce 191 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (242) ~ (all_0_14_14 = e2)
% 21.16/5.49 | (395) all_0_15_15 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (395) can reduce 151 to:
% 21.16/5.49 | (223) ~ (all_0_6_6 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Equations (395) can reduce 59 to:
% 21.16/5.49 | (231) ~ (all_0_18_18 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 231 yields:
% 21.16/5.49 | (232) ~ (all_0_18_18 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Equations (395) can reduce 461 to:
% 21.16/5.49 | (233) ~ (e4 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 233 yields:
% 21.16/5.49 | (205) ~ (e4 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Equations (395) can reduce 394 to:
% 21.16/5.49 | (235) ~ (e3 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 235 yields:
% 21.16/5.49 | (191) ~ (e3 = e2)
% 21.16/5.49 |
% 21.16/5.49 | From (395) and (83) follows:
% 21.16/5.49 | (3098) op(e1, e2) = e2
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (43), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (540) all_0_1_1 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (540) can reduce 118 to:
% 21.16/5.49 | (1240) ~ (all_0_5_5 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 1240 yields:
% 21.16/5.49 | (238) ~ (all_0_5_5 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Equations (540) can reduce 13 to:
% 21.16/5.49 | (1593) ~ (all_0_9_9 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 1593 yields:
% 21.16/5.49 | (224) ~ (all_0_9_9 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Equations (540) can reduce 36 to:
% 21.16/5.49 | (1597) ~ (all_0_17_17 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 1597 yields:
% 21.16/5.49 | (361) ~ (all_0_17_17 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Equations (540) can reduce 255 to:
% 21.16/5.49 | (233) ~ (e4 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 233 yields:
% 21.16/5.49 | (205) ~ (e4 = e2)
% 21.16/5.49 |
% 21.16/5.49 | Equations (540) can reduce 320 to:
% 21.16/5.49 | (45) ~ (e2 = e0)
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (184), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (402) all_0_5_5 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (402) can reduce 238 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (238) ~ (all_0_5_5 = e2)
% 21.16/5.49 | (405) all_0_5_5 = e3 | all_0_5_5 = e1 | all_0_5_5 = e0
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (405), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (406) all_0_5_5 = e0
% 21.16/5.49 |
% 21.16/5.49 | Equations (406) can reduce 39 to:
% 21.16/5.49 | (882) ~ (all_0_4_4 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Equations (406) can reduce 55 to:
% 21.16/5.49 | (2301) ~ (all_0_7_7 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 2301 yields:
% 21.16/5.49 | (4) ~ (all_0_7_7 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Equations (406) can reduce 2 to:
% 21.16/5.49 | (853) ~ (all_0_9_9 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 853 yields:
% 21.16/5.49 | (355) ~ (all_0_9_9 = e0)
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (200), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (422) ~ (all_0_5_5 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Equations (406) can reduce 422 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (406) all_0_5_5 = e0
% 21.16/5.49 | (425) all_0_8_8 = e3
% 21.16/5.49 |
% 21.16/5.49 | Equations (425) can reduce 93 to:
% 21.16/5.49 | (28) ~ (all_0_4_4 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (425) can reduce 138 to:
% 21.16/5.49 | (426) ~ (all_0_6_6 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (425) can reduce 49 to:
% 21.16/5.49 | (1269) ~ (all_0_7_7 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (425) can reduce 193 to:
% 21.16/5.49 | (2504) ~ (all_0_20_20 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 2504 yields:
% 21.16/5.49 | (325) ~ (all_0_20_20 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Equations (425) can reduce 299 to:
% 21.16/5.49 | (807) ~ (e4 = e3)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 807 yields:
% 21.16/5.49 | (24) ~ (e4 = e3)
% 21.16/5.49 |
% 21.16/5.49 | From (425) and (140) follows:
% 21.16/5.49 | (3077) op(e3, e0) = e3
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (180), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (437) all_0_6_6 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (437) can reduce 223 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (223) ~ (all_0_6_6 = e2)
% 21.16/5.49 | (440) all_0_6_6 = e4 | all_0_6_6 = e3 | all_0_6_6 = e0
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (158), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (337) all_0_20_20 = e2
% 21.16/5.49 |
% 21.16/5.49 | Equations (337) can reduce 251 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (251) ~ (all_0_20_20 = e2)
% 21.16/5.49 | (340) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e0
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (340), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (341) all_0_20_20 = e4
% 21.16/5.49 |
% 21.16/5.49 | Equations (341) can reduce 264 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (264) ~ (all_0_20_20 = e4)
% 21.16/5.49 | (344) all_0_20_20 = e3 | all_0_20_20 = e0
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (344), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (345) all_0_20_20 = e0
% 21.16/5.49 |
% 21.16/5.49 | Equations (345) can reduce 115 to:
% 21.16/5.49 | (587) ~ (all_0_16_16 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Equations (345) can reduce 26 to:
% 21.16/5.49 | (654) ~ (all_0_17_17 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Equations (345) can reduce 35 to:
% 21.16/5.49 | (44) ~ (all_0_19_19 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Equations (345) can reduce 325 to:
% 21.16/5.49 | (996) ~ (e3 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 996 yields:
% 21.16/5.49 | (61) ~ (e3 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Equations (345) can reduce 29 to:
% 21.16/5.49 | (788) ~ (e1 = e0)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 788 yields:
% 21.16/5.49 | (131) ~ (e1 = e0)
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (440), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (431) all_0_6_6 = e4
% 21.16/5.49 |
% 21.16/5.49 | Equations (431) can reduce 99 to:
% 21.16/5.49 | (261) ~ (all_0_4_4 = e4)
% 21.16/5.49 |
% 21.16/5.49 | Equations (431) can reduce 23 to:
% 21.16/5.49 | (2218) ~ (all_0_7_7 = e4)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 2218 yields:
% 21.16/5.49 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.49 |
% 21.16/5.49 | Equations (431) can reduce 155 to:
% 21.16/5.49 | (4119) ~ (all_0_18_18 = e4)
% 21.16/5.49 |
% 21.16/5.49 | Simplifying 4119 yields:
% 21.16/5.49 | (674) ~ (all_0_18_18 = e4)
% 21.16/5.49 |
% 21.16/5.49 | From (431) and (89) follows:
% 21.16/5.49 | (1692) op(e3, e2) = e4
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (143), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (842) all_0_17_17 = e3
% 21.16/5.49 |
% 21.16/5.49 | Equations (842) can reduce 1858 to:
% 21.16/5.49 | (267) $false
% 21.16/5.49 |
% 21.16/5.49 |-The branch is then unsatisfiable
% 21.16/5.49 |-Branch two:
% 21.16/5.49 | (1858) ~ (all_0_17_17 = e3)
% 21.16/5.49 | (2250) all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 21.16/5.49 |
% 21.16/5.49 +-Applying beta-rule and splitting (2250), into two cases.
% 21.16/5.49 |-Branch one:
% 21.16/5.49 | (679) all_0_18_18 = e3
% 21.16/5.49 |
% 21.16/5.50 | Equations (679) can reduce 161 to:
% 21.16/5.50 | (58) ~ (all_0_16_16 = e3)
% 21.16/5.50 |
% 21.16/5.50 | Equations (679) can reduce 154 to:
% 21.16/5.50 | (967) ~ (all_0_19_19 = e3)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 967 yields:
% 21.16/5.50 | (968) ~ (all_0_19_19 = e3)
% 21.16/5.50 |
% 21.16/5.50 | Equations (679) can reduce 674 to:
% 21.16/5.50 | (807) ~ (e4 = e3)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 807 yields:
% 21.16/5.50 | (24) ~ (e4 = e3)
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (167), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (266) all_0_11_11 = e2
% 21.16/5.50 |
% 21.16/5.50 | Equations (266) can reduce 226 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (226) ~ (all_0_11_11 = e2)
% 21.16/5.50 | (269) all_0_11_11 = e4 | all_0_11_11 = e1
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (79), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (1059) all_0_4_4 = e2
% 21.16/5.50 |
% 21.16/5.50 | Equations (1059) can reduce 74 to:
% 21.16/5.50 | (2862) ~ (all_0_7_7 = e2)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 2862 yields:
% 21.16/5.50 | (537) ~ (all_0_7_7 = e2)
% 21.16/5.50 |
% 21.16/5.50 | Equations (1059) can reduce 261 to:
% 21.16/5.50 | (233) ~ (e4 = e2)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 233 yields:
% 21.16/5.50 | (205) ~ (e4 = e2)
% 21.16/5.50 |
% 21.16/5.50 | Equations (1059) can reduce 28 to:
% 21.16/5.50 | (235) ~ (e3 = e2)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 235 yields:
% 21.16/5.50 | (191) ~ (e3 = e2)
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (11), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (1125) all_0_7_7 = e2
% 21.16/5.50 |
% 21.16/5.50 | Equations (1125) can reduce 537 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (537) ~ (all_0_7_7 = e2)
% 21.16/5.50 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (3353), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (435) all_0_7_7 = e4
% 21.16/5.50 |
% 21.16/5.50 | Equations (435) can reduce 450 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.50 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (3357), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (713) all_0_7_7 = e3
% 21.16/5.50 |
% 21.16/5.50 | Equations (713) can reduce 1269 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (1269) ~ (all_0_7_7 = e3)
% 21.16/5.50 | (1385) all_0_7_7 = e1
% 21.16/5.50 |
% 21.16/5.50 | Equations (1385) can reduce 171 to:
% 21.16/5.50 | (1386) ~ (all_0_11_11 = e1)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 1386 yields:
% 21.16/5.50 | (1387) ~ (all_0_11_11 = e1)
% 21.16/5.50 |
% 21.16/5.50 | Equations (1385) can reduce 537 to:
% 21.16/5.50 | (1005) ~ (e2 = e1)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 1005 yields:
% 21.16/5.50 | (134) ~ (e2 = e1)
% 21.16/5.50 |
% 21.16/5.50 | From (1385) and (144) follows:
% 21.16/5.50 | (1388) op(e3, e1) = e1
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (76), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (1002) all_0_4_4 = e1
% 21.16/5.50 |
% 21.16/5.50 | Combining equations (1059,1002) yields a new equation:
% 21.16/5.50 | (759) e2 = e1
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 759 yields:
% 21.16/5.50 | (760) e2 = e1
% 21.16/5.50 |
% 21.16/5.50 | Equations (760) can reduce 134 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (742) ~ (all_0_4_4 = e1)
% 21.16/5.50 | (741) all_0_16_16 = e1
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (101), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (270) all_0_2_2 = e2
% 21.16/5.50 |
% 21.16/5.50 | Combining equations (384,270) yields a new equation:
% 21.16/5.50 | (545) e3 = e2
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 545 yields:
% 21.16/5.50 | (483) e3 = e2
% 21.16/5.50 |
% 21.16/5.50 | Equations (483) can reduce 191 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (379) ~ (all_0_2_2 = e2)
% 21.16/5.50 | (549) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (63), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (356) all_0_9_9 = e1
% 21.16/5.50 |
% 21.16/5.50 | Equations (356) can reduce 197 to:
% 21.16/5.50 | (1386) ~ (all_0_11_11 = e1)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 1386 yields:
% 21.16/5.50 | (1387) ~ (all_0_11_11 = e1)
% 21.16/5.50 |
% 21.16/5.50 | Equations (356) can reduce 224 to:
% 21.16/5.50 | (1005) ~ (e2 = e1)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 1005 yields:
% 21.16/5.50 | (134) ~ (e2 = e1)
% 21.16/5.50 |
% 21.16/5.50 | From (356) and (164) follows:
% 21.16/5.50 | (3367) op(e2, e3) = e1
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (50), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (790) all_0_1_1 = e4
% 21.16/5.50 |
% 21.16/5.50 | Combining equations (790,540) yields a new equation:
% 21.16/5.50 | (847) e4 = e2
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 847 yields:
% 21.16/5.50 | (297) e4 = e2
% 21.16/5.50 |
% 21.16/5.50 | Equations (297) can reduce 205 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (255) ~ (all_0_1_1 = e4)
% 21.16/5.50 | (793) all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (100), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (284) all_0_16_16 = e2
% 21.16/5.50 |
% 21.16/5.50 | Combining equations (741,284) yields a new equation:
% 21.16/5.50 | (760) e2 = e1
% 21.16/5.50 |
% 21.16/5.50 | Equations (760) can reduce 134 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (246) ~ (all_0_16_16 = e2)
% 21.16/5.50 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 21.16/5.50 |
% 21.16/5.50 | Equations (741) can reduce 246 to:
% 21.16/5.50 | (1005) ~ (e2 = e1)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 1005 yields:
% 21.16/5.50 | (134) ~ (e2 = e1)
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (157), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (288) all_0_17_17 = e2
% 21.16/5.50 |
% 21.16/5.50 | Equations (288) can reduce 361 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (361) ~ (all_0_17_17 = e2)
% 21.16/5.50 | (1689) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (269), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (306) all_0_11_11 = e4
% 21.16/5.50 |
% 21.16/5.50 | Equations (306) can reduce 203 to:
% 21.16/5.50 | (24) ~ (e4 = e3)
% 21.16/5.50 |
% 21.16/5.50 | Equations (306) can reduce 226 to:
% 21.16/5.50 | (205) ~ (e4 = e2)
% 21.16/5.50 |
% 21.16/5.50 | Equations (306) can reduce 1387 to:
% 21.16/5.50 | (217) ~ (e4 = e1)
% 21.16/5.50 |
% 21.16/5.50 | From (306) and (162) follows:
% 21.16/5.50 | (1669) op(e2, e1) = e4
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (73), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (367) all_0_19_19 = e2
% 21.16/5.50 |
% 21.16/5.50 | Equations (367) can reduce 968 to:
% 21.16/5.50 | (235) ~ (e3 = e2)
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 235 yields:
% 21.16/5.50 | (191) ~ (e3 = e2)
% 21.16/5.50 |
% 21.16/5.50 | From (367) and (209) follows:
% 21.16/5.50 | (1259) op(e0, e1) = e2
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (75), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (472), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (473), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (474), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 21.16/5.50 |
% 21.16/5.50 | Applying alpha-rule on (475) yields:
% 21.16/5.50 | (270) all_0_2_2 = e2
% 21.16/5.50 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 21.16/5.50 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 21.16/5.50 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 21.16/5.50 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.50 | (481) ~ (unit = e1)
% 21.16/5.50 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 21.16/5.50 |
% 21.16/5.50 | Combining equations (384,270) yields a new equation:
% 21.16/5.50 | (545) e3 = e2
% 21.16/5.50 |
% 21.16/5.50 | Simplifying 545 yields:
% 21.16/5.50 | (483) e3 = e2
% 21.16/5.50 |
% 21.16/5.50 | Equations (483) can reduce 191 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 21.16/5.50 |
% 21.16/5.50 | Applying alpha-rule on (485) yields:
% 21.16/5.50 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 21.16/5.50 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 21.16/5.50 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 21.16/5.50 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 21.16/5.50 | (315) all_0_9_9 = e4
% 21.16/5.50 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 21.16/5.50 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 21.16/5.50 | (493) ~ (unit = e3)
% 21.16/5.50 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 21.16/5.50 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 21.16/5.50 | (496) ~ (all_0_2_2 = e3)
% 21.16/5.50 |
% 21.16/5.50 | Combining equations (356,315) yields a new equation:
% 21.16/5.50 | (934) e4 = e1
% 21.16/5.50 |
% 21.16/5.50 | Equations (934) can reduce 217 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 21.16/5.50 |
% 21.16/5.50 | Applying alpha-rule on (498) yields:
% 21.16/5.50 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 21.16/5.50 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 21.16/5.50 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 21.16/5.50 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 21.16/5.50 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 21.16/5.50 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 21.16/5.50 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 21.16/5.50 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 21.16/5.50 | (358) ~ (all_0_12_12 = e4)
% 21.16/5.50 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 21.16/5.50 | (255) ~ (all_0_1_1 = e4)
% 21.16/5.50 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.50 | (257) ~ (all_0_2_2 = e4)
% 21.16/5.50 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 21.16/5.50 | (303) ~ (all_0_11_11 = e4)
% 21.16/5.50 | (514) ~ (all_0_14_14 = e4)
% 21.16/5.50 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 21.16/5.50 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 21.16/5.50 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 21.16/5.50 |
% 21.16/5.50 | Equations (306) can reduce 303 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 21.16/5.50 |
% 21.16/5.50 | Applying alpha-rule on (519) yields:
% 21.16/5.50 | (520) ~ (all_0_1_1 = e2)
% 21.16/5.50 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 21.16/5.50 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 21.16/5.50 | (226) ~ (all_0_11_11 = e2)
% 21.16/5.50 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 21.16/5.50 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 21.16/5.50 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 21.16/5.50 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 21.16/5.50 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 21.16/5.50 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 21.16/5.50 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 21.16/5.50 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 21.16/5.50 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 21.16/5.50 | (272) ~ (all_0_3_3 = e2)
% 21.16/5.50 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 21.16/5.50 | (274) ~ (all_0_19_19 = e2)
% 21.16/5.50 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 21.16/5.50 | (537) ~ (all_0_7_7 = e2)
% 21.16/5.50 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 21.16/5.50 | (224) ~ (all_0_9_9 = e2)
% 21.16/5.50 |
% 21.16/5.50 | Equations (367) can reduce 274 to:
% 21.16/5.50 | (267) $false
% 21.16/5.50 |
% 21.16/5.50 |-The branch is then unsatisfiable
% 21.16/5.50 |-Branch two:
% 21.16/5.50 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 21.16/5.50 |
% 21.16/5.50 | Applying alpha-rule on (558) yields:
% 21.16/5.50 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 21.16/5.50 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 21.16/5.50 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 21.16/5.50 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 21.16/5.50 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 21.16/5.50 | (564) ~ (unit = e0)
% 21.16/5.50 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 21.16/5.50 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 21.16/5.50 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 21.16/5.50 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 21.16/5.50 | (355) ~ (all_0_9_9 = e0)
% 21.16/5.50 |
% 21.16/5.50 | Equations (356) can reduce 355 to:
% 21.16/5.50 | (131) ~ (e1 = e0)
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (1689), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (846) all_0_17_17 = e4
% 21.16/5.50 |
% 21.16/5.50 | From (846) and (14) follows:
% 21.16/5.50 | (2270) op(e0, e3) = e4
% 21.16/5.50 |
% 21.16/5.50 +-Applying beta-rule and splitting (54), into two cases.
% 21.16/5.50 |-Branch one:
% 21.16/5.50 | (1420) unit = e2
% 21.16/5.50 |
% 21.16/5.50 | From (1420) and (42) follows:
% 21.16/5.50 | (8707) op(e2, e0) = e0
% 21.16/5.50 |
% 21.16/5.50 | From (1420) and (146) follows:
% 21.16/5.50 | (1422) op(e1, e2) = e1
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 21.16/5.51 | (353) e2 = e0
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 21.16/5.51 | (760) e2 = e1
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (353,760) yields a new equation:
% 21.16/5.51 | (871) e1 = e0
% 21.16/5.51 |
% 21.16/5.51 | Equations (871) can reduce 131 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (1432) ~ (unit = e2)
% 21.16/5.51 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (1433), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (1434) unit = e4
% 21.16/5.51 |
% 21.16/5.51 | From (1434) and (42) follows:
% 21.16/5.51 | (1436) op(e4, e0) = e0
% 21.16/5.51 |
% 21.16/5.51 | From (1434) and (146) follows:
% 21.16/5.51 | (2338) op(e1, e4) = e1
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 21.16/5.51 | (327) e4 = e0
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e1, e4, e1, e4 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e1, yields:
% 21.16/5.51 | (934) e4 = e1
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (934,327) yields a new equation:
% 21.16/5.51 | (1156) e1 = e0
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 1156 yields:
% 21.16/5.51 | (871) e1 = e0
% 21.16/5.51 |
% 21.16/5.51 | Equations (871) can reduce 131 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (1449) ~ (unit = e4)
% 21.16/5.51 | (1450) unit = e3 | unit = e1 | unit = e0
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (1450), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (1451) unit = e0
% 21.16/5.51 |
% 21.16/5.51 | Equations (1451) can reduce 564 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (564) ~ (unit = e0)
% 21.16/5.51 | (1454) unit = e3 | unit = e1
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (1454), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (1455) unit = e3
% 21.16/5.51 |
% 21.16/5.51 | From (1455) and (153) follows:
% 21.16/5.51 | (1838) op(e3, e2) = e2
% 21.16/5.51 |
% 21.16/5.51 | From (1455) and (169) follows:
% 21.16/5.51 | (3089) op(e2, e3) = e2
% 21.16/5.51 |
% 21.16/5.51 | From (1455) and (220) follows:
% 21.16/5.51 | (2357) op(e0, e3) = e0
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 21.16/5.51 | (297) e4 = e2
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 21.16/5.51 | (760) e2 = e1
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields:
% 21.16/5.51 | (327) e4 = e0
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (297,327) yields a new equation:
% 21.16/5.51 | (352) e2 = e0
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 352 yields:
% 21.16/5.51 | (353) e2 = e0
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (760,353) yields a new equation:
% 21.16/5.51 | (1156) e1 = e0
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 1156 yields:
% 21.16/5.51 | (871) e1 = e0
% 21.16/5.51 |
% 21.16/5.51 | Equations (871) can reduce 131 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (493) ~ (unit = e3)
% 21.16/5.51 | (1467) unit = e1
% 21.16/5.51 |
% 21.16/5.51 | Equations (1467) can reduce 564 to:
% 21.16/5.51 | (131) ~ (e1 = e0)
% 21.16/5.51 |
% 21.16/5.51 | From (1467) and (199) follows:
% 21.16/5.51 | (5360) op(e4, e1) = e4
% 21.16/5.51 |
% 21.16/5.51 | From (1467) and (112) follows:
% 21.16/5.51 | (1471) op(e3, e1) = e3
% 21.16/5.51 |
% 21.16/5.51 | From (1467) and (169) follows:
% 21.16/5.51 | (3099) op(e2, e1) = e2
% 21.16/5.51 |
% 21.16/5.51 | From (1467) and (220) follows:
% 21.16/5.51 | (1472) op(e0, e1) = e0
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields:
% 21.16/5.51 | (452) e4 = e3
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields:
% 21.16/5.51 | (833) e3 = e1
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e2, e1, e2, e4 and discharging atoms op(e2, e1) = e4, op(e2, e1) = e2, yields:
% 21.16/5.51 | (297) e4 = e2
% 21.16/5.51 |
% 21.16/5.51 | Instantiating formula (178) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 21.16/5.51 | (353) e2 = e0
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (297,452) yields a new equation:
% 21.16/5.51 | (483) e3 = e2
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (483,833) yields a new equation:
% 21.16/5.51 | (759) e2 = e1
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 759 yields:
% 21.16/5.51 | (760) e2 = e1
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (760,353) yields a new equation:
% 21.16/5.51 | (1156) e1 = e0
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 1156 yields:
% 21.16/5.51 | (871) e1 = e0
% 21.16/5.51 |
% 21.16/5.51 | Equations (871) can reduce 131 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.51 | (1696) all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (159), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (1629) all_0_16_16 = e4
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (741,1629) yields a new equation:
% 21.16/5.51 | (934) e4 = e1
% 21.16/5.51 |
% 21.16/5.51 | Equations (934) can reduce 217 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (1965) ~ (all_0_16_16 = e4)
% 21.16/5.51 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 21.16/5.51 |
% 21.16/5.51 | Equations (741) can reduce 1965 to:
% 21.16/5.51 | (721) ~ (e4 = e1)
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 721 yields:
% 21.16/5.51 | (217) ~ (e4 = e1)
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (793), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (315) all_0_9_9 = e4
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (356,315) yields a new equation:
% 21.16/5.51 | (934) e4 = e1
% 21.16/5.51 |
% 21.16/5.51 | Equations (934) can reduce 217 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (302) ~ (all_0_9_9 = e4)
% 21.16/5.51 | (801) all_0_14_14 = e4 | all_0_17_17 = e4
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (801), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (470) all_0_14_14 = e4
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (470,391) yields a new equation:
% 21.16/5.51 | (620) e4 = e3
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 620 yields:
% 21.16/5.51 | (452) e4 = e3
% 21.16/5.51 |
% 21.16/5.51 | Equations (452) can reduce 24 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (514) ~ (all_0_14_14 = e4)
% 21.16/5.51 | (846) all_0_17_17 = e4
% 21.16/5.51 |
% 21.16/5.51 | Equations (846) can reduce 510 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (274) ~ (all_0_19_19 = e2)
% 21.16/5.51 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (549), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (1125) all_0_7_7 = e2
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (1125,1385) yields a new equation:
% 21.16/5.51 | (759) e2 = e1
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 759 yields:
% 21.16/5.51 | (760) e2 = e1
% 21.16/5.51 |
% 21.16/5.51 | Equations (760) can reduce 134 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (537) ~ (all_0_7_7 = e2)
% 21.16/5.51 | (1252) all_0_11_11 = e2 | all_0_19_19 = e2
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (1252), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (266) all_0_11_11 = e2
% 21.16/5.51 |
% 21.16/5.51 | Combining equations (306,266) yields a new equation:
% 21.16/5.51 | (847) e4 = e2
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 847 yields:
% 21.16/5.51 | (297) e4 = e2
% 21.16/5.51 |
% 21.16/5.51 | Equations (297) can reduce 205 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (226) ~ (all_0_11_11 = e2)
% 21.16/5.51 | (367) all_0_19_19 = e2
% 21.16/5.51 |
% 21.16/5.51 | Equations (367) can reduce 274 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (303) ~ (all_0_11_11 = e4)
% 21.16/5.51 | (309) all_0_11_11 = e1
% 21.16/5.51 |
% 21.16/5.51 | Equations (309) can reduce 1387 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.51 | (309) all_0_11_11 = e1
% 21.16/5.51 |
% 21.16/5.51 | Equations (309) can reduce 1387 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (240) ~ (all_0_4_4 = e2)
% 21.16/5.51 | (2176) all_0_13_13 = e2 | all_0_16_16 = e2
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (62), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (1059) all_0_4_4 = e2
% 21.16/5.51 |
% 21.16/5.51 | Equations (1059) can reduce 240 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (240) ~ (all_0_4_4 = e2)
% 21.16/5.51 | (5402) all_0_4_4 = e4 | all_0_4_4 = e1 | all_0_4_4 = e0
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (5402), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (427) all_0_4_4 = e4
% 21.16/5.51 |
% 21.16/5.51 | Equations (427) can reduce 261 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (261) ~ (all_0_4_4 = e4)
% 21.16/5.51 | (5410) all_0_4_4 = e1 | all_0_4_4 = e0
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (5410), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (785) all_0_4_4 = e0
% 21.16/5.51 |
% 21.16/5.51 | Equations (785) can reduce 882 to:
% 21.16/5.51 | (267) $false
% 21.16/5.51 |
% 21.16/5.51 |-The branch is then unsatisfiable
% 21.16/5.51 |-Branch two:
% 21.16/5.51 | (882) ~ (all_0_4_4 = e0)
% 21.16/5.51 | (1002) all_0_4_4 = e1
% 21.16/5.51 |
% 21.16/5.51 | Equations (1002) can reduce 74 to:
% 21.16/5.51 | (3900) ~ (all_0_7_7 = e1)
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 3900 yields:
% 21.16/5.51 | (1801) ~ (all_0_7_7 = e1)
% 21.16/5.51 |
% 21.16/5.51 | Equations (1002) can reduce 261 to:
% 21.16/5.51 | (721) ~ (e4 = e1)
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 721 yields:
% 21.16/5.51 | (217) ~ (e4 = e1)
% 21.16/5.51 |
% 21.16/5.51 | From (1002) and (179) follows:
% 21.16/5.51 | (1612) op(e3, e4) = e1
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (11), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (1125) all_0_7_7 = e2
% 21.16/5.51 |
% 21.16/5.51 | Equations (1125) can reduce 48 to:
% 21.16/5.51 | (273) ~ (all_0_19_19 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 273 yields:
% 21.16/5.51 | (274) ~ (all_0_19_19 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Equations (1125) can reduce 1269 to:
% 21.16/5.51 | (235) ~ (e3 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 235 yields:
% 21.16/5.51 | (191) ~ (e3 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Equations (1125) can reduce 4 to:
% 21.16/5.51 | (45) ~ (e2 = e0)
% 21.16/5.51 |
% 21.16/5.51 | From (1125) and (144) follows:
% 21.16/5.51 | (8825) op(e3, e1) = e2
% 21.16/5.51 |
% 21.16/5.51 +-Applying beta-rule and splitting (100), into two cases.
% 21.16/5.51 |-Branch one:
% 21.16/5.51 | (284) all_0_16_16 = e2
% 21.16/5.51 |
% 21.16/5.51 | Equations (284) can reduce 107 to:
% 21.16/5.51 | (1597) ~ (all_0_17_17 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 1597 yields:
% 21.16/5.51 | (361) ~ (all_0_17_17 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Equations (284) can reduce 69 to:
% 21.16/5.51 | (273) ~ (all_0_19_19 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 273 yields:
% 21.16/5.51 | (274) ~ (all_0_19_19 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Equations (284) can reduce 1965 to:
% 21.16/5.51 | (233) ~ (e4 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 233 yields:
% 21.16/5.51 | (205) ~ (e4 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Equations (284) can reduce 58 to:
% 21.16/5.51 | (235) ~ (e3 = e2)
% 21.16/5.51 |
% 21.16/5.51 | Simplifying 235 yields:
% 21.16/5.51 | (191) ~ (e3 = e2)
% 21.16/5.51 |
% 21.16/5.51 | From (284) and (173) follows:
% 21.16/5.51 | (7922) op(e0, e4) = e2
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (75), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (472) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))) | ( ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))))
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (472), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (473) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | ( ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))))
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (473), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (474) (all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)) | (all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (474), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (475) all_0_2_2 = e2 & ~ (all_0_9_9 = e1) & ~ (unit = e1) & ( ~ (all_0_4_4 = e1) | all_0_7_7 = e4) & ( ~ (all_0_5_5 = e1) | all_0_7_7 = e3) & ( ~ (all_0_16_16 = e1) | all_0_19_19 = e4) & ( ~ (all_0_17_17 = e1) | all_0_19_19 = e3)
% 21.16/5.52 |
% 21.16/5.52 | Applying alpha-rule on (475) yields:
% 21.16/5.52 | (270) all_0_2_2 = e2
% 21.16/5.52 | (477) ~ (all_0_4_4 = e1) | all_0_7_7 = e4
% 21.16/5.52 | (478) ~ (all_0_17_17 = e1) | all_0_19_19 = e3
% 21.16/5.52 | (125) ~ (all_0_5_5 = e1) | all_0_7_7 = e3
% 21.16/5.52 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.52 | (481) ~ (unit = e1)
% 21.16/5.52 | (482) ~ (all_0_16_16 = e1) | all_0_19_19 = e4
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (384,270) yields a new equation:
% 21.16/5.52 | (545) e3 = e2
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 545 yields:
% 21.16/5.52 | (483) e3 = e2
% 21.16/5.52 |
% 21.16/5.52 | Equations (483) can reduce 191 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (485) all_0_9_9 = e4 & ~ (all_0_2_2 = e3) & ~ (unit = e3) & ( ~ (all_0_3_3 = e3) | all_0_1_1 = e0) & ( ~ (all_0_6_6 = e3) | all_0_5_5 = e2) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_15_15 = e3) | all_0_14_14 = e2) & ( ~ (all_0_18_18 = e3) | all_0_17_17 = e2) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 21.16/5.52 |
% 21.16/5.52 | Applying alpha-rule on (485) yields:
% 21.16/5.52 | (486) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 21.16/5.52 | (487) ~ (all_0_15_15 = e3) | all_0_14_14 = e2
% 21.16/5.52 | (488) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 21.16/5.52 | (489) ~ (all_0_3_3 = e3) | all_0_1_1 = e0
% 21.16/5.52 | (315) all_0_9_9 = e4
% 21.16/5.52 | (491) ~ (all_0_6_6 = e3) | all_0_5_5 = e2
% 21.16/5.52 | (78) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 21.16/5.52 | (493) ~ (unit = e3)
% 21.16/5.52 | (494) ~ (all_0_18_18 = e3) | all_0_17_17 = e2
% 21.16/5.52 | (495) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 21.16/5.52 | (496) ~ (all_0_2_2 = e3)
% 21.16/5.52 |
% 21.16/5.52 | Equations (384) can reduce 496 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (498) ~ (all_0_1_1 = e4) & ~ (all_0_2_2 = e4) & ~ (all_0_11_11 = e4) & ~ (all_0_12_12 = e4) & ~ (all_0_14_14 = e4) & ~ (all_0_17_17 = e4) & ( ~ (all_0_0_0 = e4) | ~ (unit = e4)) & ( ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))) & ( ~ (all_0_4_4 = e4) | ~ (unit = e4)) & ( ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))) & ( ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))) & ( ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))) & ( ~ (all_0_9_9 = e4) | ~ (unit = e4)) & ( ~ (all_0_13_13 = e4) | ~ (unit = e4)) & ( ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))) & ( ~ (all_0_16_16 = e4) | ~ (unit = e4)) & ( ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))) & ( ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))) & ( ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4)))
% 21.16/5.52 |
% 21.16/5.52 | Applying alpha-rule on (498) yields:
% 21.16/5.52 | (499) ~ (all_0_8_8 = e4) | (all_0_4_4 = e0 & ~ (unit = e4))
% 21.16/5.52 | (500) ~ (all_0_20_20 = e4) | (all_0_16_16 = e0 & ~ (unit = e4))
% 21.16/5.52 | (501) ~ (all_0_4_4 = e4) | ~ (unit = e4)
% 21.16/5.52 | (502) ~ (all_0_6_6 = e4) | (all_0_4_4 = e2 & ~ (unit = e4))
% 21.16/5.52 | (503) ~ (all_0_15_15 = e4) | (all_0_13_13 = e2 & ~ (unit = e4))
% 21.16/5.52 | (504) ~ (all_0_16_16 = e4) | ~ (unit = e4)
% 21.16/5.52 | (505) ~ (all_0_0_0 = e4) | ~ (unit = e4)
% 21.16/5.52 | (506) ~ (all_0_18_18 = e4) | (all_0_16_16 = e2 & ~ (unit = e4))
% 21.16/5.52 | (358) ~ (all_0_12_12 = e4)
% 21.16/5.52 | (508) ~ (all_0_9_9 = e4) | ~ (unit = e4)
% 21.16/5.52 | (255) ~ (all_0_1_1 = e4)
% 21.16/5.52 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.52 | (257) ~ (all_0_2_2 = e4)
% 21.16/5.52 | (512) ~ (all_0_19_19 = e4) | (all_0_16_16 = e1 & ~ (unit = e4))
% 21.16/5.52 | (303) ~ (all_0_11_11 = e4)
% 21.16/5.52 | (514) ~ (all_0_14_14 = e4)
% 21.16/5.52 | (515) ~ (all_0_7_7 = e4) | (all_0_4_4 = e1 & ~ (unit = e4))
% 21.16/5.52 | (516) ~ (all_0_3_3 = e4) | (all_0_0_0 = e0 & ~ (unit = e4))
% 21.16/5.52 | (517) ~ (all_0_13_13 = e4) | ~ (unit = e4)
% 21.16/5.52 |
% 21.16/5.52 | Equations (374) can reduce 358 to:
% 21.16/5.52 | (233) ~ (e4 = e2)
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 233 yields:
% 21.16/5.52 | (205) ~ (e4 = e2)
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (12), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (315) all_0_9_9 = e4
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 197 to:
% 21.16/5.52 | (1008) ~ (all_0_11_11 = e4)
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 1008 yields:
% 21.16/5.52 | (303) ~ (all_0_11_11 = e4)
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 163 to:
% 21.16/5.52 | (1630) ~ (all_0_17_17 = e4)
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 1630 yields:
% 21.16/5.52 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 124 to:
% 21.16/5.52 | (24) ~ (e4 = e3)
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 224 to:
% 21.16/5.52 | (205) ~ (e4 = e2)
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 355 to:
% 21.16/5.52 | (7) ~ (e4 = e0)
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (211), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (381) all_0_2_2 = e4
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (384,381) yields a new equation:
% 21.16/5.52 | (452) e4 = e3
% 21.16/5.52 |
% 21.16/5.52 | Equations (452) can reduce 24 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (257) ~ (all_0_2_2 = e4)
% 21.16/5.52 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 21.16/5.52 |
% 21.16/5.52 | Equations (384) can reduce 257 to:
% 21.16/5.52 | (807) ~ (e4 = e3)
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 807 yields:
% 21.16/5.52 | (24) ~ (e4 = e3)
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (63), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (356) all_0_9_9 = e1
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (315,356) yields a new equation:
% 21.16/5.52 | (1500) e4 = e1
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 1500 yields:
% 21.16/5.52 | (934) e4 = e1
% 21.16/5.52 |
% 21.16/5.52 | Equations (934) can reduce 217 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.52 | (309) all_0_11_11 = e1
% 21.16/5.52 |
% 21.16/5.52 | Equations (309) can reduce 303 to:
% 21.16/5.52 | (721) ~ (e4 = e1)
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 721 yields:
% 21.16/5.52 | (217) ~ (e4 = e1)
% 21.16/5.52 |
% 21.16/5.52 | Equations (309) can reduce 81 to:
% 21.16/5.52 | (131) ~ (e1 = e0)
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (126), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (459) all_0_5_5 = e1
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (406,459) yields a new equation:
% 21.16/5.52 | (871) e1 = e0
% 21.16/5.52 |
% 21.16/5.52 | Equations (871) can reduce 131 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (265) ~ (all_0_5_5 = e1)
% 21.16/5.52 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (157), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (288) all_0_17_17 = e2
% 21.16/5.52 |
% 21.16/5.52 | Equations (288) can reduce 361 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (361) ~ (all_0_17_17 = e2)
% 21.16/5.52 | (1689) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e1 | all_0_17_17 = e0
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (159), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (1629) all_0_16_16 = e4
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (1629,284) yields a new equation:
% 21.16/5.52 | (847) e4 = e2
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 847 yields:
% 21.16/5.52 | (297) e4 = e2
% 21.16/5.52 |
% 21.16/5.52 | Equations (297) can reduce 205 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (1965) ~ (all_0_16_16 = e4)
% 21.16/5.52 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (1035), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (356) all_0_9_9 = e1
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (315,356) yields a new equation:
% 21.16/5.52 | (1500) e4 = e1
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 1500 yields:
% 21.16/5.52 | (934) e4 = e1
% 21.16/5.52 |
% 21.16/5.52 | Equations (934) can reduce 217 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.52 | (913) all_0_17_17 = e1
% 21.16/5.52 |
% 21.16/5.52 | Equations (913) can reduce 510 to:
% 21.16/5.52 | (721) ~ (e4 = e1)
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 721 yields:
% 21.16/5.52 | (217) ~ (e4 = e1)
% 21.16/5.52 |
% 21.16/5.52 | Equations (913) can reduce 361 to:
% 21.16/5.52 | (1005) ~ (e2 = e1)
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 1005 yields:
% 21.16/5.52 | (134) ~ (e2 = e1)
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (2264), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (846) all_0_17_17 = e4
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (913,846) yields a new equation:
% 21.16/5.52 | (934) e4 = e1
% 21.16/5.52 |
% 21.16/5.52 | Equations (934) can reduce 217 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.52 | (2398) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (2398), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (599) all_0_18_18 = e4
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (679,599) yields a new equation:
% 21.16/5.52 | (452) e4 = e3
% 21.16/5.52 |
% 21.16/5.52 | Equations (452) can reduce 24 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (674) ~ (all_0_18_18 = e4)
% 21.16/5.52 | (2404) all_0_19_19 = e4 | all_0_20_20 = e4
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (2404), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (644) all_0_19_19 = e4
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (512), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (602) ~ (all_0_19_19 = e4)
% 21.16/5.52 |
% 21.16/5.52 | Equations (644) can reduce 602 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (644) all_0_19_19 = e4
% 21.16/5.52 | (8948) all_0_16_16 = e1 & ~ (unit = e4)
% 21.16/5.52 |
% 21.16/5.52 | Applying alpha-rule on (8948) yields:
% 21.16/5.52 | (741) all_0_16_16 = e1
% 21.16/5.52 | (1449) ~ (unit = e4)
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (741,284) yields a new equation:
% 21.16/5.52 | (760) e2 = e1
% 21.16/5.52 |
% 21.16/5.52 | Equations (760) can reduce 134 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (602) ~ (all_0_19_19 = e4)
% 21.16/5.52 | (341) all_0_20_20 = e4
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (345,341) yields a new equation:
% 21.16/5.52 | (327) e4 = e0
% 21.16/5.52 |
% 21.16/5.52 | Equations (327) can reduce 7 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (302) ~ (all_0_9_9 = e4)
% 21.16/5.52 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (1401), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (306) all_0_11_11 = e4
% 21.16/5.52 |
% 21.16/5.52 | Equations (306) can reduce 303 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (303) ~ (all_0_11_11 = e4)
% 21.16/5.52 | (301) all_0_12_12 = e4
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (374,301) yields a new equation:
% 21.16/5.52 | (297) e4 = e2
% 21.16/5.52 |
% 21.16/5.52 | Equations (297) can reduce 205 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (519) ~ (all_0_1_1 = e2) & ~ (all_0_3_3 = e2) & ~ (all_0_7_7 = e2) & ~ (all_0_9_9 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_19_19 = e2) & ( ~ (all_0_2_2 = e2) | ~ (unit = e2)) & ( ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))) & ( ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))) & ( ~ (all_0_6_6 = e2) | ~ (unit = e2)) & ( ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))) & ( ~ (all_0_10_10 = e2) | ~ (unit = e2)) & ( ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))) & ( ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))) & ( ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))) & ( ~ (all_0_15_15 = e2) | ~ (unit = e2)) & ( ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))) & ( ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))) & ( ~ (all_0_18_18 = e2) | ~ (unit = e2)) & ( ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2)))
% 21.16/5.52 |
% 21.16/5.52 | Applying alpha-rule on (519) yields:
% 21.16/5.52 | (520) ~ (all_0_1_1 = e2)
% 21.16/5.52 | (521) ~ (all_0_18_18 = e2) | ~ (unit = e2)
% 21.16/5.52 | (522) ~ (all_0_17_17 = e2) | (all_0_18_18 = e3 & ~ (unit = e2))
% 21.16/5.52 | (226) ~ (all_0_11_11 = e2)
% 21.16/5.52 | (524) ~ (all_0_16_16 = e2) | (all_0_18_18 = e4 & ~ (unit = e2))
% 21.16/5.52 | (525) ~ (all_0_12_12 = e2) | (all_0_10_10 = e0 & ~ (unit = e2))
% 21.16/5.52 | (526) ~ (all_0_10_10 = e2) | ~ (unit = e2)
% 21.16/5.52 | (527) ~ (all_0_15_15 = e2) | ~ (unit = e2)
% 21.16/5.52 | (528) ~ (all_0_6_6 = e2) | ~ (unit = e2)
% 21.16/5.52 | (529) ~ (all_0_14_14 = e2) | (all_0_15_15 = e3 & ~ (unit = e2))
% 21.16/5.52 | (530) ~ (all_0_20_20 = e2) | (all_0_18_18 = e0 & ~ (unit = e2))
% 21.16/5.52 | (531) ~ (all_0_13_13 = e2) | (all_0_15_15 = e4 & ~ (unit = e2))
% 21.16/5.52 | (532) ~ (all_0_2_2 = e2) | ~ (unit = e2)
% 21.16/5.52 | (272) ~ (all_0_3_3 = e2)
% 21.16/5.52 | (534) ~ (all_0_8_8 = e2) | (all_0_6_6 = e0 & ~ (unit = e2))
% 21.16/5.52 | (274) ~ (all_0_19_19 = e2)
% 21.16/5.52 | (536) ~ (all_0_4_4 = e2) | (all_0_6_6 = e4 & ~ (unit = e2))
% 21.16/5.52 | (537) ~ (all_0_7_7 = e2)
% 21.16/5.52 | (538) ~ (all_0_5_5 = e2) | (all_0_6_6 = e3 & ~ (unit = e2))
% 21.16/5.52 | (224) ~ (all_0_9_9 = e2)
% 21.16/5.52 |
% 21.16/5.52 | Equations (1125) can reduce 537 to:
% 21.16/5.52 | (267) $false
% 21.16/5.52 |
% 21.16/5.52 |-The branch is then unsatisfiable
% 21.16/5.52 |-Branch two:
% 21.16/5.52 | (558) ~ (all_0_9_9 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e4) & ( ~ (all_0_1_1 = e0) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_6_6 = e0) | all_0_8_8 = e2) & ( ~ (all_0_10_10 = e0) | all_0_12_12 = e2) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_18_18 = e0) | all_0_20_20 = e2)
% 21.16/5.52 |
% 21.16/5.52 | Applying alpha-rule on (558) yields:
% 21.16/5.52 | (559) ~ (all_0_6_6 = e0) | all_0_8_8 = e2
% 21.16/5.52 | (20) ~ (all_0_10_10 = e0) | all_0_12_12 = e2
% 21.16/5.52 | (561) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 21.16/5.52 | (47) ~ (all_0_0_0 = e0) | all_0_3_3 = e4
% 21.16/5.52 | (563) ~ (all_0_1_1 = e0) | all_0_3_3 = e3
% 21.16/5.52 | (564) ~ (unit = e0)
% 21.16/5.52 | (565) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 21.16/5.52 | (566) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 21.16/5.52 | (567) ~ (all_0_18_18 = e0) | all_0_20_20 = e2
% 21.16/5.52 | (200) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 21.16/5.52 | (355) ~ (all_0_9_9 = e0)
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (12), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (315) all_0_9_9 = e4
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 197 to:
% 21.16/5.52 | (1008) ~ (all_0_11_11 = e4)
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 1008 yields:
% 21.16/5.52 | (303) ~ (all_0_11_11 = e4)
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 163 to:
% 21.16/5.52 | (1630) ~ (all_0_17_17 = e4)
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 1630 yields:
% 21.16/5.52 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 124 to:
% 21.16/5.52 | (24) ~ (e4 = e3)
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 224 to:
% 21.16/5.52 | (205) ~ (e4 = e2)
% 21.16/5.52 |
% 21.16/5.52 | Equations (315) can reduce 355 to:
% 21.16/5.52 | (7) ~ (e4 = e0)
% 21.16/5.52 |
% 21.16/5.52 +-Applying beta-rule and splitting (63), into two cases.
% 21.16/5.52 |-Branch one:
% 21.16/5.52 | (356) all_0_9_9 = e1
% 21.16/5.52 |
% 21.16/5.52 | Combining equations (315,356) yields a new equation:
% 21.16/5.52 | (1500) e4 = e1
% 21.16/5.52 |
% 21.16/5.52 | Simplifying 1500 yields:
% 21.16/5.53 | (934) e4 = e1
% 21.16/5.53 |
% 21.16/5.53 | Equations (934) can reduce 217 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.53 | (309) all_0_11_11 = e1
% 21.16/5.53 |
% 21.16/5.53 | Equations (309) can reduce 303 to:
% 21.16/5.53 | (721) ~ (e4 = e1)
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 721 yields:
% 21.16/5.53 | (217) ~ (e4 = e1)
% 21.16/5.53 |
% 21.16/5.53 | Equations (309) can reduce 81 to:
% 21.16/5.53 | (131) ~ (e1 = e0)
% 21.16/5.53 |
% 21.16/5.53 | From (309) and (162) follows:
% 21.16/5.53 | (1816) op(e2, e1) = e1
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (73), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (367) all_0_19_19 = e2
% 21.16/5.53 |
% 21.16/5.53 | Equations (367) can reduce 274 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (274) ~ (all_0_19_19 = e2)
% 21.16/5.53 | (1076) all_0_19_19 = e4 | all_0_19_19 = e3 | all_0_19_19 = e1
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (211), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (381) all_0_2_2 = e4
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (381,384) yields a new equation:
% 21.16/5.53 | (620) e4 = e3
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 620 yields:
% 21.16/5.53 | (452) e4 = e3
% 21.16/5.53 |
% 21.16/5.53 | Equations (452) can reduce 24 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (257) ~ (all_0_2_2 = e4)
% 21.16/5.53 | (624) all_0_7_7 = e4 | all_0_11_11 = e4 | all_0_19_19 = e4
% 21.16/5.53 |
% 21.16/5.53 | Equations (384) can reduce 257 to:
% 21.16/5.53 | (807) ~ (e4 = e3)
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 807 yields:
% 21.16/5.53 | (24) ~ (e4 = e3)
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (624), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (435) all_0_7_7 = e4
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (435,1125) yields a new equation:
% 21.16/5.53 | (847) e4 = e2
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 847 yields:
% 21.16/5.53 | (297) e4 = e2
% 21.16/5.53 |
% 21.16/5.53 | Equations (297) can reduce 205 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (450) ~ (all_0_7_7 = e4)
% 21.16/5.53 | (628) all_0_11_11 = e4 | all_0_19_19 = e4
% 21.16/5.53 |
% 21.16/5.53 | Equations (1125) can reduce 450 to:
% 21.16/5.53 | (233) ~ (e4 = e2)
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 233 yields:
% 21.16/5.53 | (205) ~ (e4 = e2)
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (126), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (459) all_0_5_5 = e1
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (459,406) yields a new equation:
% 21.16/5.53 | (1156) e1 = e0
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 1156 yields:
% 21.16/5.53 | (871) e1 = e0
% 21.16/5.53 |
% 21.16/5.53 | Equations (871) can reduce 131 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (265) ~ (all_0_5_5 = e1)
% 21.16/5.53 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (159), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (1629) all_0_16_16 = e4
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (1629,284) yields a new equation:
% 21.16/5.53 | (847) e4 = e2
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 847 yields:
% 21.16/5.53 | (297) e4 = e2
% 21.16/5.53 |
% 21.16/5.53 | Equations (297) can reduce 205 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (1965) ~ (all_0_16_16 = e4)
% 21.16/5.53 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (1035), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (356) all_0_9_9 = e1
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (356,315) yields a new equation:
% 21.16/5.53 | (934) e4 = e1
% 21.16/5.53 |
% 21.16/5.53 | Equations (934) can reduce 217 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (310) ~ (all_0_9_9 = e1)
% 21.16/5.53 | (913) all_0_17_17 = e1
% 21.16/5.53 |
% 21.16/5.53 | Equations (913) can reduce 510 to:
% 21.16/5.53 | (721) ~ (e4 = e1)
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 721 yields:
% 21.16/5.53 | (217) ~ (e4 = e1)
% 21.16/5.53 |
% 21.16/5.53 | Equations (913) can reduce 654 to:
% 21.16/5.53 | (131) ~ (e1 = e0)
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (1076), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (644) all_0_19_19 = e4
% 21.16/5.53 |
% 21.16/5.53 | From (644) and (209) follows:
% 21.16/5.53 | (3042) op(e0, e1) = e4
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (54), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (1420) unit = e2
% 21.16/5.53 |
% 21.16/5.53 | From (1420) and (42) follows:
% 21.16/5.53 | (8707) op(e2, e0) = e0
% 21.16/5.53 |
% 21.16/5.53 | From (1420) and (146) follows:
% 21.16/5.53 | (1422) op(e1, e2) = e1
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 21.16/5.53 | (353) e2 = e0
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 21.16/5.53 | (760) e2 = e1
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (760,353) yields a new equation:
% 21.16/5.53 | (1156) e1 = e0
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 1156 yields:
% 21.16/5.53 | (871) e1 = e0
% 21.16/5.53 |
% 21.16/5.53 | Equations (871) can reduce 131 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (1432) ~ (unit = e2)
% 21.16/5.53 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (1433), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (1434) unit = e4
% 21.16/5.53 |
% 21.16/5.53 | From (1434) and (112) follows:
% 21.16/5.53 | (1437) op(e3, e4) = e3
% 21.16/5.53 |
% 21.16/5.53 | From (1434) and (169) follows:
% 21.16/5.53 | (1438) op(e2, e4) = e2
% 21.16/5.53 |
% 21.16/5.53 | From (1434) and (220) follows:
% 21.16/5.53 | (8040) op(e0, e4) = e0
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 21.16/5.53 | (833) e3 = e1
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 21.16/5.53 | (483) e3 = e2
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 21.16/5.53 | (353) e2 = e0
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (833,483) yields a new equation:
% 21.16/5.53 | (760) e2 = e1
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (760,353) yields a new equation:
% 21.16/5.53 | (1156) e1 = e0
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 1156 yields:
% 21.16/5.53 | (871) e1 = e0
% 21.16/5.53 |
% 21.16/5.53 | Equations (871) can reduce 131 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (1449) ~ (unit = e4)
% 21.16/5.53 | (1450) unit = e3 | unit = e1 | unit = e0
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (1450), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (1451) unit = e0
% 21.16/5.53 |
% 21.16/5.53 | Equations (1451) can reduce 564 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (564) ~ (unit = e0)
% 21.16/5.53 | (1454) unit = e3 | unit = e1
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (1454), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (1455) unit = e3
% 21.16/5.53 |
% 21.16/5.53 | From (1455) and (42) follows:
% 21.16/5.53 | (1456) op(e3, e0) = e0
% 21.16/5.53 |
% 21.16/5.53 | From (1455) and (146) follows:
% 21.16/5.53 | (1458) op(e1, e3) = e1
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 21.16/5.53 | (1103) e3 = e0
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 21.16/5.53 | (833) e3 = e1
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (1103,833) yields a new equation:
% 21.16/5.53 | (871) e1 = e0
% 21.16/5.53 |
% 21.16/5.53 | Equations (871) can reduce 131 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (493) ~ (unit = e3)
% 21.16/5.53 | (1467) unit = e1
% 21.16/5.53 |
% 21.16/5.53 | Equations (1467) can reduce 564 to:
% 21.16/5.53 | (131) ~ (e1 = e0)
% 21.16/5.53 |
% 21.16/5.53 | From (1467) and (199) follows:
% 21.16/5.53 | (5360) op(e4, e1) = e4
% 21.16/5.53 |
% 21.16/5.53 | From (1467) and (112) follows:
% 21.16/5.53 | (1471) op(e3, e1) = e3
% 21.16/5.53 |
% 21.16/5.53 | From (1467) and (169) follows:
% 21.16/5.53 | (3099) op(e2, e1) = e2
% 21.16/5.53 |
% 21.16/5.53 | From (1467) and (220) follows:
% 21.16/5.53 | (1472) op(e0, e1) = e0
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields:
% 21.16/5.53 | (452) e4 = e3
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 21.16/5.53 | (483) e3 = e2
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 21.16/5.53 | (760) e2 = e1
% 21.16/5.53 |
% 21.16/5.53 | Instantiating formula (178) with e0, e1, e0, e4 and discharging atoms op(e0, e1) = e4, op(e0, e1) = e0, yields:
% 21.16/5.53 | (327) e4 = e0
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (452,327) yields a new equation:
% 21.16/5.53 | (1102) e3 = e0
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 1102 yields:
% 21.16/5.53 | (1103) e3 = e0
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (1103,483) yields a new equation:
% 21.16/5.53 | (353) e2 = e0
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (353,760) yields a new equation:
% 21.16/5.53 | (871) e1 = e0
% 21.16/5.53 |
% 21.16/5.53 | Equations (871) can reduce 131 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (602) ~ (all_0_19_19 = e4)
% 21.16/5.53 | (1080) all_0_19_19 = e3 | all_0_19_19 = e1
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (2264), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (846) all_0_17_17 = e4
% 21.16/5.53 |
% 21.16/5.53 | Combining equations (846,913) yields a new equation:
% 21.16/5.53 | (1500) e4 = e1
% 21.16/5.53 |
% 21.16/5.53 | Simplifying 1500 yields:
% 21.16/5.53 | (934) e4 = e1
% 21.16/5.53 |
% 21.16/5.53 | Equations (934) can reduce 217 to:
% 21.16/5.53 | (267) $false
% 21.16/5.53 |
% 21.16/5.53 |-The branch is then unsatisfiable
% 21.16/5.53 |-Branch two:
% 21.16/5.53 | (510) ~ (all_0_17_17 = e4)
% 21.16/5.53 | (2398) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 21.16/5.53 |
% 21.16/5.53 +-Applying beta-rule and splitting (2398), into two cases.
% 21.16/5.53 |-Branch one:
% 21.16/5.53 | (599) all_0_18_18 = e4
% 21.16/5.53 |
% 21.41/5.53 | Combining equations (599,679) yields a new equation:
% 21.41/5.53 | (620) e4 = e3
% 21.41/5.53 |
% 21.41/5.53 | Simplifying 620 yields:
% 21.41/5.53 | (452) e4 = e3
% 21.41/5.53 |
% 21.41/5.53 | Equations (452) can reduce 24 to:
% 21.41/5.53 | (267) $false
% 21.41/5.53 |
% 21.41/5.53 |-The branch is then unsatisfiable
% 21.41/5.53 |-Branch two:
% 21.41/5.53 | (674) ~ (all_0_18_18 = e4)
% 21.41/5.53 | (2404) all_0_19_19 = e4 | all_0_20_20 = e4
% 21.41/5.53 |
% 21.41/5.53 +-Applying beta-rule and splitting (2404), into two cases.
% 21.41/5.53 |-Branch one:
% 21.41/5.53 | (644) all_0_19_19 = e4
% 21.41/5.53 |
% 21.41/5.53 | Equations (644) can reduce 602 to:
% 21.41/5.53 | (267) $false
% 21.41/5.53 |
% 21.41/5.53 |-The branch is then unsatisfiable
% 21.41/5.53 |-Branch two:
% 21.41/5.53 | (602) ~ (all_0_19_19 = e4)
% 21.41/5.53 | (341) all_0_20_20 = e4
% 21.41/5.53 |
% 21.41/5.53 | Combining equations (345,341) yields a new equation:
% 21.41/5.53 | (327) e4 = e0
% 21.41/5.53 |
% 21.41/5.53 | Equations (327) can reduce 7 to:
% 21.41/5.53 | (267) $false
% 21.41/5.53 |
% 21.41/5.53 |-The branch is then unsatisfiable
% 21.41/5.53 |-Branch two:
% 21.41/5.53 | (302) ~ (all_0_9_9 = e4)
% 21.41/5.53 | (1401) all_0_11_11 = e4 | all_0_12_12 = e4
% 21.41/5.53 |
% 21.41/5.53 +-Applying beta-rule and splitting (5), into two cases.
% 21.41/5.53 |-Branch one:
% 21.41/5.53 | (311) all_0_9_9 = e2
% 21.41/5.53 |
% 21.41/5.53 | Equations (311) can reduce 224 to:
% 21.41/5.53 | (267) $false
% 21.41/5.53 |
% 21.41/5.53 |-The branch is then unsatisfiable
% 21.41/5.53 |-Branch two:
% 21.41/5.53 | (224) ~ (all_0_9_9 = e2)
% 21.41/5.53 | (314) all_0_9_9 = e4 | all_0_9_9 = e1 | all_0_9_9 = e0
% 21.41/5.53 |
% 21.41/5.53 +-Applying beta-rule and splitting (50), into two cases.
% 21.41/5.53 |-Branch one:
% 21.41/5.53 | (790) all_0_1_1 = e4
% 21.41/5.53 |
% 21.41/5.53 | Combining equations (790,540) yields a new equation:
% 21.41/5.53 | (847) e4 = e2
% 21.41/5.53 |
% 21.41/5.53 | Simplifying 847 yields:
% 21.41/5.53 | (297) e4 = e2
% 21.41/5.53 |
% 21.41/5.53 | Equations (297) can reduce 205 to:
% 21.41/5.53 | (267) $false
% 21.41/5.53 |
% 21.41/5.53 |-The branch is then unsatisfiable
% 21.41/5.53 |-Branch two:
% 21.41/5.53 | (255) ~ (all_0_1_1 = e4)
% 21.41/5.53 | (793) all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 21.41/5.53 |
% 21.41/5.53 +-Applying beta-rule and splitting (314), into two cases.
% 21.41/5.53 |-Branch one:
% 21.41/5.53 | (315) all_0_9_9 = e4
% 21.41/5.53 |
% 21.41/5.53 | Equations (315) can reduce 302 to:
% 21.41/5.53 | (267) $false
% 21.41/5.53 |
% 21.41/5.53 |-The branch is then unsatisfiable
% 21.41/5.53 |-Branch two:
% 21.41/5.53 | (302) ~ (all_0_9_9 = e4)
% 21.41/5.53 | (318) all_0_9_9 = e1 | all_0_9_9 = e0
% 21.41/5.53 |
% 21.41/5.53 +-Applying beta-rule and splitting (318), into two cases.
% 21.41/5.53 |-Branch one:
% 21.41/5.53 | (319) all_0_9_9 = e0
% 21.41/5.53 |
% 21.41/5.53 | Equations (319) can reduce 355 to:
% 21.41/5.53 | (267) $false
% 21.41/5.53 |
% 21.41/5.53 |-The branch is then unsatisfiable
% 21.41/5.53 |-Branch two:
% 21.41/5.53 | (355) ~ (all_0_9_9 = e0)
% 21.41/5.53 | (356) all_0_9_9 = e1
% 21.41/5.53 |
% 21.41/5.53 | Equations (356) can reduce 197 to:
% 21.41/5.53 | (1386) ~ (all_0_11_11 = e1)
% 21.41/5.53 |
% 21.41/5.54 | Simplifying 1386 yields:
% 21.41/5.54 | (1387) ~ (all_0_11_11 = e1)
% 21.41/5.54 |
% 21.41/5.54 | Equations (356) can reduce 302 to:
% 21.41/5.54 | (721) ~ (e4 = e1)
% 21.41/5.54 |
% 21.41/5.54 | Simplifying 721 yields:
% 21.41/5.54 | (217) ~ (e4 = e1)
% 21.41/5.54 |
% 21.41/5.54 | Equations (356) can reduce 224 to:
% 21.41/5.54 | (1005) ~ (e2 = e1)
% 21.41/5.54 |
% 21.41/5.54 | Simplifying 1005 yields:
% 21.41/5.54 | (134) ~ (e2 = e1)
% 21.41/5.54 |
% 21.41/5.54 | From (356) and (164) follows:
% 21.41/5.54 | (3367) op(e2, e3) = e1
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (56), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (1385) all_0_7_7 = e1
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (1385,1125) yields a new equation:
% 21.41/5.54 | (760) e2 = e1
% 21.41/5.54 |
% 21.41/5.54 | Equations (760) can reduce 134 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (1801) ~ (all_0_7_7 = e1)
% 21.41/5.54 | (1802) all_0_11_11 = e1 | all_0_19_19 = e1
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (793), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (315) all_0_9_9 = e4
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (356,315) yields a new equation:
% 21.41/5.54 | (934) e4 = e1
% 21.41/5.54 |
% 21.41/5.54 | Equations (934) can reduce 217 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (302) ~ (all_0_9_9 = e4)
% 21.41/5.54 | (801) all_0_14_14 = e4 | all_0_17_17 = e4
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (801), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (470) all_0_14_14 = e4
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (391,470) yields a new equation:
% 21.41/5.54 | (452) e4 = e3
% 21.41/5.54 |
% 21.41/5.54 | Equations (452) can reduce 24 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (514) ~ (all_0_14_14 = e4)
% 21.41/5.54 | (846) all_0_17_17 = e4
% 21.41/5.54 |
% 21.41/5.54 | Equations (846) can reduce 361 to:
% 21.41/5.54 | (205) ~ (e4 = e2)
% 21.41/5.54 |
% 21.41/5.54 | From (846) and (14) follows:
% 21.41/5.54 | (2270) op(e0, e3) = e4
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (1401), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (306) all_0_11_11 = e4
% 21.41/5.54 |
% 21.41/5.54 | Equations (306) can reduce 1387 to:
% 21.41/5.54 | (217) ~ (e4 = e1)
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (1802), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (309) all_0_11_11 = e1
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (306,309) yields a new equation:
% 21.41/5.54 | (1500) e4 = e1
% 21.41/5.54 |
% 21.41/5.54 | Simplifying 1500 yields:
% 21.41/5.54 | (934) e4 = e1
% 21.41/5.54 |
% 21.41/5.54 | Equations (934) can reduce 217 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (1387) ~ (all_0_11_11 = e1)
% 21.41/5.54 | (916) all_0_19_19 = e1
% 21.41/5.54 |
% 21.41/5.54 | Equations (916) can reduce 44 to:
% 21.41/5.54 | (131) ~ (e1 = e0)
% 21.41/5.54 |
% 21.41/5.54 | From (916) and (209) follows:
% 21.41/5.54 | (1813) op(e0, e1) = e1
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (54), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (1420) unit = e2
% 21.41/5.54 |
% 21.41/5.54 | From (1420) and (42) follows:
% 21.41/5.54 | (8707) op(e2, e0) = e0
% 21.41/5.54 |
% 21.41/5.54 | From (1420) and (146) follows:
% 21.41/5.54 | (1422) op(e1, e2) = e1
% 21.41/5.54 |
% 21.41/5.54 | Instantiating formula (178) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 21.41/5.54 | (353) e2 = e0
% 21.41/5.54 |
% 21.41/5.54 | Instantiating formula (178) with e1, e2, e1, e2 and discharging atoms op(e1, e2) = e2, op(e1, e2) = e1, yields:
% 21.41/5.54 | (760) e2 = e1
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (353,760) yields a new equation:
% 21.41/5.54 | (871) e1 = e0
% 21.41/5.54 |
% 21.41/5.54 | Equations (871) can reduce 131 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (1432) ~ (unit = e2)
% 21.41/5.54 | (1433) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (1433), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (1434) unit = e4
% 21.41/5.54 |
% 21.41/5.54 | From (1434) and (112) follows:
% 21.41/5.54 | (1437) op(e3, e4) = e3
% 21.41/5.54 |
% 21.41/5.54 | From (1434) and (169) follows:
% 21.41/5.54 | (1438) op(e2, e4) = e2
% 21.41/5.54 |
% 21.41/5.54 | From (1434) and (220) follows:
% 21.41/5.54 | (8040) op(e0, e4) = e0
% 21.41/5.54 |
% 21.41/5.54 | Instantiating formula (178) with e3, e4, e3, e1 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e1, yields:
% 21.41/5.54 | (833) e3 = e1
% 21.41/5.54 |
% 21.41/5.54 | Instantiating formula (178) with e2, e4, e2, e3 and discharging atoms op(e2, e4) = e3, op(e2, e4) = e2, yields:
% 21.41/5.54 | (483) e3 = e2
% 21.41/5.54 |
% 21.41/5.54 | Instantiating formula (178) with e0, e4, e0, e2 and discharging atoms op(e0, e4) = e2, op(e0, e4) = e0, yields:
% 21.41/5.54 | (353) e2 = e0
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (833,483) yields a new equation:
% 21.41/5.54 | (760) e2 = e1
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (760,353) yields a new equation:
% 21.41/5.54 | (1156) e1 = e0
% 21.41/5.54 |
% 21.41/5.54 | Simplifying 1156 yields:
% 21.41/5.54 | (871) e1 = e0
% 21.41/5.54 |
% 21.41/5.54 | Equations (871) can reduce 131 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (1449) ~ (unit = e4)
% 21.41/5.54 | (1450) unit = e3 | unit = e1 | unit = e0
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (1450), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (1451) unit = e0
% 21.41/5.54 |
% 21.41/5.54 | Equations (1451) can reduce 564 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (564) ~ (unit = e0)
% 21.41/5.54 | (1454) unit = e3 | unit = e1
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (1454), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (1455) unit = e3
% 21.41/5.54 |
% 21.41/5.54 | From (1455) and (153) follows:
% 21.41/5.54 | (1838) op(e3, e2) = e2
% 21.41/5.54 |
% 21.41/5.54 | From (1455) and (169) follows:
% 21.41/5.54 | (3089) op(e2, e3) = e2
% 21.41/5.54 |
% 21.41/5.54 | From (1455) and (220) follows:
% 21.41/5.54 | (2357) op(e0, e3) = e0
% 21.41/5.54 |
% 21.41/5.54 | Instantiating formula (178) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 21.41/5.54 | (297) e4 = e2
% 21.41/5.54 |
% 21.41/5.54 | Instantiating formula (178) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 21.41/5.54 | (760) e2 = e1
% 21.41/5.54 |
% 21.41/5.54 | Instantiating formula (178) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields:
% 21.41/5.54 | (327) e4 = e0
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (297,327) yields a new equation:
% 21.41/5.54 | (352) e2 = e0
% 21.41/5.54 |
% 21.41/5.54 | Simplifying 352 yields:
% 21.41/5.54 | (353) e2 = e0
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (353,760) yields a new equation:
% 21.41/5.54 | (871) e1 = e0
% 21.41/5.54 |
% 21.41/5.54 | Equations (871) can reduce 131 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (493) ~ (unit = e3)
% 21.41/5.54 | (1467) unit = e1
% 21.41/5.54 |
% 21.41/5.54 | Equations (1467) can reduce 564 to:
% 21.41/5.54 | (131) ~ (e1 = e0)
% 21.41/5.54 |
% 21.41/5.54 | From (1467) and (220) follows:
% 21.41/5.54 | (1472) op(e0, e1) = e0
% 21.41/5.54 |
% 21.41/5.54 | Instantiating formula (178) with e0, e1, e0, e1 and discharging atoms op(e0, e1) = e1, op(e0, e1) = e0, yields:
% 21.41/5.54 | (871) e1 = e0
% 21.41/5.54 |
% 21.41/5.54 | Equations (871) can reduce 131 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (303) ~ (all_0_11_11 = e4)
% 21.41/5.54 | (301) all_0_12_12 = e4
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (374,301) yields a new equation:
% 21.41/5.54 | (297) e4 = e2
% 21.41/5.54 |
% 21.41/5.54 | Equations (297) can reduce 205 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (246) ~ (all_0_16_16 = e2)
% 21.41/5.54 | (287) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (287), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (288) all_0_17_17 = e2
% 21.41/5.54 |
% 21.41/5.54 | Equations (288) can reduce 361 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (361) ~ (all_0_17_17 = e2)
% 21.41/5.54 | (362) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (362), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (363) all_0_18_18 = e2
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (679,363) yields a new equation:
% 21.41/5.54 | (545) e3 = e2
% 21.41/5.54 |
% 21.41/5.54 | Simplifying 545 yields:
% 21.41/5.54 | (483) e3 = e2
% 21.41/5.54 |
% 21.41/5.54 | Equations (483) can reduce 191 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (232) ~ (all_0_18_18 = e2)
% 21.41/5.54 | (366) all_0_19_19 = e2 | all_0_20_20 = e2
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (366), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (367) all_0_19_19 = e2
% 21.41/5.54 |
% 21.41/5.54 | Equations (367) can reduce 274 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (274) ~ (all_0_19_19 = e2)
% 21.41/5.54 | (337) all_0_20_20 = e2
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (337,345) yields a new equation:
% 21.41/5.54 | (352) e2 = e0
% 21.41/5.54 |
% 21.41/5.54 | Simplifying 352 yields:
% 21.41/5.54 | (353) e2 = e0
% 21.41/5.54 |
% 21.41/5.54 | Equations (353) can reduce 45 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (537) ~ (all_0_7_7 = e2)
% 21.41/5.54 | (3353) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (3353), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (435) all_0_7_7 = e4
% 21.41/5.54 |
% 21.41/5.54 | Equations (435) can reduce 450 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (450) ~ (all_0_7_7 = e4)
% 21.41/5.54 | (3357) all_0_7_7 = e3 | all_0_7_7 = e1
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (3357), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (713) all_0_7_7 = e3
% 21.41/5.54 |
% 21.41/5.54 | Equations (713) can reduce 1269 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (1269) ~ (all_0_7_7 = e3)
% 21.41/5.54 | (1385) all_0_7_7 = e1
% 21.41/5.54 |
% 21.41/5.54 | Equations (1385) can reduce 1801 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (468) ~ (all_0_18_18 = e3)
% 21.41/5.54 | (2255) all_0_19_19 = e3 | all_0_20_20 = e3
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (2255), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (1081) all_0_19_19 = e3
% 21.41/5.54 |
% 21.41/5.54 | Equations (1081) can reduce 968 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (968) ~ (all_0_19_19 = e3)
% 21.41/5.54 | (348) all_0_20_20 = e3
% 21.41/5.54 |
% 21.41/5.54 | Combining equations (348,345) yields a new equation:
% 21.41/5.54 | (1102) e3 = e0
% 21.41/5.54 |
% 21.41/5.54 | Simplifying 1102 yields:
% 21.41/5.54 | (1103) e3 = e0
% 21.41/5.54 |
% 21.41/5.54 | Equations (1103) can reduce 61 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (400) ~ (all_0_6_6 = e4)
% 21.41/5.54 | (444) all_0_6_6 = e3 | all_0_6_6 = e0
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (95), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (448) all_0_6_6 = e3
% 21.41/5.54 |
% 21.41/5.54 | Equations (448) can reduce 426 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (426) ~ (all_0_6_6 = e3)
% 21.41/5.54 | (1681) all_0_15_15 = e3 | all_0_18_18 = e3
% 21.41/5.54 |
% 21.41/5.54 +-Applying beta-rule and splitting (129), into two cases.
% 21.41/5.54 |-Branch one:
% 21.41/5.54 | (427) all_0_4_4 = e4
% 21.41/5.54 |
% 21.41/5.54 | Equations (427) can reduce 261 to:
% 21.41/5.54 | (267) $false
% 21.41/5.54 |
% 21.41/5.54 |-The branch is then unsatisfiable
% 21.41/5.54 |-Branch two:
% 21.41/5.54 | (261) ~ (all_0_4_4 = e4)
% 21.41/5.55 | (430) all_0_6_6 = e4 | all_0_7_7 = e4 | all_0_8_8 = e4
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (430), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (431) all_0_6_6 = e4
% 21.41/5.55 |
% 21.41/5.55 | Equations (431) can reduce 400 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (400) ~ (all_0_6_6 = e4)
% 21.41/5.55 | (434) all_0_7_7 = e4 | all_0_8_8 = e4
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (434), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (435) all_0_7_7 = e4
% 21.41/5.55 |
% 21.41/5.55 | Equations (435) can reduce 23 to:
% 21.41/5.55 | (400) ~ (all_0_6_6 = e4)
% 21.41/5.55 |
% 21.41/5.55 | Equations (435) can reduce 48 to:
% 21.41/5.55 | (601) ~ (all_0_19_19 = e4)
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 601 yields:
% 21.41/5.55 | (602) ~ (all_0_19_19 = e4)
% 21.41/5.55 |
% 21.41/5.55 | Equations (435) can reduce 1269 to:
% 21.41/5.55 | (24) ~ (e4 = e3)
% 21.41/5.55 |
% 21.41/5.55 | Equations (435) can reduce 4 to:
% 21.41/5.55 | (7) ~ (e4 = e0)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (175), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (1002) all_0_4_4 = e1
% 21.41/5.55 |
% 21.41/5.55 | Equations (1002) can reduce 204 to:
% 21.41/5.55 | (6125) ~ (all_0_16_16 = e1)
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 6125 yields:
% 21.41/5.55 | (911) ~ (all_0_16_16 = e1)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (214), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (284) all_0_16_16 = e2
% 21.41/5.55 |
% 21.41/5.55 | Equations (284) can reduce 107 to:
% 21.41/5.55 | (1597) ~ (all_0_17_17 = e2)
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 1597 yields:
% 21.41/5.55 | (361) ~ (all_0_17_17 = e2)
% 21.41/5.55 |
% 21.41/5.55 | Equations (284) can reduce 1965 to:
% 21.41/5.55 | (233) ~ (e4 = e2)
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 233 yields:
% 21.41/5.55 | (205) ~ (e4 = e2)
% 21.41/5.55 |
% 21.41/5.55 | Equations (284) can reduce 58 to:
% 21.41/5.55 | (235) ~ (e3 = e2)
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 235 yields:
% 21.41/5.55 | (191) ~ (e3 = e2)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (1681), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (462) all_0_15_15 = e3
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (462,395) yields a new equation:
% 21.41/5.55 | (545) e3 = e2
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 545 yields:
% 21.41/5.55 | (483) e3 = e2
% 21.41/5.55 |
% 21.41/5.55 | Equations (483) can reduce 191 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (394) ~ (all_0_15_15 = e3)
% 21.41/5.55 | (679) all_0_18_18 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (679) can reduce 137 to:
% 21.41/5.55 | (1858) ~ (all_0_17_17 = e3)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (159), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (1629) all_0_16_16 = e4
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (284,1629) yields a new equation:
% 21.41/5.55 | (297) e4 = e2
% 21.41/5.55 |
% 21.41/5.55 | Equations (297) can reduce 205 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (1965) ~ (all_0_16_16 = e4)
% 21.41/5.55 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (2264), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (846) all_0_17_17 = e4
% 21.41/5.55 |
% 21.41/5.55 | Equations (846) can reduce 1858 to:
% 21.41/5.55 | (24) ~ (e4 = e3)
% 21.41/5.55 |
% 21.41/5.55 | Equations (846) can reduce 361 to:
% 21.41/5.55 | (205) ~ (e4 = e2)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (147), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (431) all_0_6_6 = e4
% 21.41/5.55 |
% 21.41/5.55 | Equations (431) can reduce 400 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (400) ~ (all_0_6_6 = e4)
% 21.41/5.55 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (1397), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (399) all_0_15_15 = e4
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (395,399) yields a new equation:
% 21.41/5.55 | (297) e4 = e2
% 21.41/5.55 |
% 21.41/5.55 | Equations (297) can reduce 205 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (461) ~ (all_0_15_15 = e4)
% 21.41/5.55 | (599) all_0_18_18 = e4
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (599,679) yields a new equation:
% 21.41/5.55 | (620) e4 = e3
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 620 yields:
% 21.41/5.55 | (452) e4 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (452) can reduce 24 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (510) ~ (all_0_17_17 = e4)
% 21.41/5.55 | (2398) all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (2398), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (599) all_0_18_18 = e4
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (679,599) yields a new equation:
% 21.41/5.55 | (452) e4 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (452) can reduce 24 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (674) ~ (all_0_18_18 = e4)
% 21.41/5.55 | (2404) all_0_19_19 = e4 | all_0_20_20 = e4
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (2404), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (644) all_0_19_19 = e4
% 21.41/5.55 |
% 21.41/5.55 | Equations (644) can reduce 602 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (602) ~ (all_0_19_19 = e4)
% 21.41/5.55 | (341) all_0_20_20 = e4
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (341,345) yields a new equation:
% 21.41/5.55 | (657) e4 = e0
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 657 yields:
% 21.41/5.55 | (327) e4 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (327) can reduce 7 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (246) ~ (all_0_16_16 = e2)
% 21.41/5.55 | (2180) all_0_16_16 = e4 | all_0_16_16 = e1 | all_0_16_16 = e0
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (159), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (1629) all_0_16_16 = e4
% 21.41/5.55 |
% 21.41/5.55 | Equations (1629) can reduce 1965 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (1965) ~ (all_0_16_16 = e4)
% 21.41/5.55 | (2264) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_19_19 = e4 | all_0_20_20 = e4
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (2180), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (1629) all_0_16_16 = e4
% 21.41/5.55 |
% 21.41/5.55 | Equations (1629) can reduce 1965 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (1965) ~ (all_0_16_16 = e4)
% 21.41/5.55 | (6137) all_0_16_16 = e1 | all_0_16_16 = e0
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (6137), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (609) all_0_16_16 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (609) can reduce 587 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (587) ~ (all_0_16_16 = e0)
% 21.41/5.55 | (741) all_0_16_16 = e1
% 21.41/5.55 |
% 21.41/5.55 | Equations (741) can reduce 911 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (742) ~ (all_0_4_4 = e1)
% 21.41/5.55 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (1292), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (459) all_0_5_5 = e1
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (459,406) yields a new equation:
% 21.41/5.55 | (1156) e1 = e0
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 1156 yields:
% 21.41/5.55 | (871) e1 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (871) can reduce 131 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (265) ~ (all_0_5_5 = e1)
% 21.41/5.55 | (1385) all_0_7_7 = e1
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (1385,435) yields a new equation:
% 21.41/5.55 | (934) e4 = e1
% 21.41/5.55 |
% 21.41/5.55 | Equations (934) can reduce 217 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (450) ~ (all_0_7_7 = e4)
% 21.41/5.55 | (296) all_0_8_8 = e4
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (425,296) yields a new equation:
% 21.41/5.55 | (452) e4 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (452) can reduce 24 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (336) ~ (all_0_20_20 = e0)
% 21.41/5.55 | (348) all_0_20_20 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (348) can reduce 325 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (422) ~ (all_0_5_5 = e0)
% 21.41/5.55 | (455) all_0_5_5 = e3 | all_0_5_5 = e1
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (31), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (331) all_0_1_1 = e0
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (331,540) yields a new equation:
% 21.41/5.55 | (353) e2 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (353) can reduce 45 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (320) ~ (all_0_1_1 = e0)
% 21.41/5.55 | (869) all_0_5_5 = e0 | all_0_9_9 = e0 | all_0_17_17 = e0
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (869), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (406) all_0_5_5 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (406) can reduce 422 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (422) ~ (all_0_5_5 = e0)
% 21.41/5.55 | (874) all_0_9_9 = e0 | all_0_17_17 = e0
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (874), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (319) all_0_9_9 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (319) can reduce 355 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (355) ~ (all_0_9_9 = e0)
% 21.41/5.55 | (351) all_0_17_17 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (351) can reduce 119 to:
% 21.41/5.55 | (422) ~ (all_0_5_5 = e0)
% 21.41/5.55 |
% 21.41/5.55 | Equations (351) can reduce 1858 to:
% 21.41/5.55 | (996) ~ (e3 = e0)
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 996 yields:
% 21.41/5.55 | (61) ~ (e3 = e0)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (64), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (785) all_0_4_4 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (785) can reduce 882 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (882) ~ (all_0_4_4 = e0)
% 21.41/5.55 | (2166) all_0_5_5 = e0 | all_0_6_6 = e0 | all_0_8_8 = e0
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (2166), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (406) all_0_5_5 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (406) can reduce 422 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (422) ~ (all_0_5_5 = e0)
% 21.41/5.55 | (2387) all_0_6_6 = e0 | all_0_8_8 = e0
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (2387), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (411) all_0_6_6 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (411) can reduce 408 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (408) ~ (all_0_6_6 = e0)
% 21.41/5.55 | (2154) all_0_8_8 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (2154) can reduce 138 to:
% 21.41/5.55 | (408) ~ (all_0_6_6 = e0)
% 21.41/5.55 |
% 21.41/5.55 | Equations (2154) can reduce 299 to:
% 21.41/5.55 | (321) ~ (e4 = e0)
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 321 yields:
% 21.41/5.55 | (7) ~ (e4 = e0)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (160), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (672) all_0_3_3 = e3
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (672,292) yields a new equation:
% 21.41/5.55 | (452) e4 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (452) can reduce 24 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (386) ~ (all_0_3_3 = e3)
% 21.41/5.55 | (822) all_0_8_8 = e3 | all_0_20_20 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (292) can reduce 386 to:
% 21.41/5.55 | (24) ~ (e4 = e3)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (192), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (456) all_0_5_5 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (456) can reduce 392 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (392) ~ (all_0_5_5 = e3)
% 21.41/5.55 | (1529) all_0_6_6 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (1529), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (448) all_0_6_6 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (448) can reduce 3 to:
% 21.41/5.55 | (392) ~ (all_0_5_5 = e3)
% 21.41/5.55 |
% 21.41/5.55 | Equations (448) can reduce 155 to:
% 21.41/5.55 | (467) ~ (all_0_18_18 = e3)
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 467 yields:
% 21.41/5.55 | (468) ~ (all_0_18_18 = e3)
% 21.41/5.55 |
% 21.41/5.55 | Equations (448) can reduce 408 to:
% 21.41/5.55 | (61) ~ (e3 = e0)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (50), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (790) all_0_1_1 = e4
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (790,540) yields a new equation:
% 21.41/5.55 | (847) e4 = e2
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 847 yields:
% 21.41/5.55 | (297) e4 = e2
% 21.41/5.55 |
% 21.41/5.55 | Equations (297) can reduce 205 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (255) ~ (all_0_1_1 = e4)
% 21.41/5.55 | (793) all_0_9_9 = e4 | all_0_14_14 = e4 | all_0_17_17 = e4
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (793), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (315) all_0_9_9 = e4
% 21.41/5.55 |
% 21.41/5.55 | Equations (315) can reduce 224 to:
% 21.41/5.55 | (205) ~ (e4 = e2)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (143), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (842) all_0_17_17 = e3
% 21.41/5.55 |
% 21.41/5.55 | Combining equations (842,351) yields a new equation:
% 21.41/5.55 | (1102) e3 = e0
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 1102 yields:
% 21.41/5.55 | (1103) e3 = e0
% 21.41/5.55 |
% 21.41/5.55 | Equations (1103) can reduce 61 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (1858) ~ (all_0_17_17 = e3)
% 21.41/5.55 | (2250) all_0_18_18 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (2250), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (679) all_0_18_18 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (679) can reduce 468 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (468) ~ (all_0_18_18 = e3)
% 21.41/5.55 | (2255) all_0_19_19 = e3 | all_0_20_20 = e3
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (2255), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (1081) all_0_19_19 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (1081) can reduce 968 to:
% 21.41/5.55 | (267) $false
% 21.41/5.55 |
% 21.41/5.55 |-The branch is then unsatisfiable
% 21.41/5.55 |-Branch two:
% 21.41/5.55 | (968) ~ (all_0_19_19 = e3)
% 21.41/5.55 | (348) all_0_20_20 = e3
% 21.41/5.55 |
% 21.41/5.55 | Equations (348) can reduce 264 to:
% 21.41/5.55 | (807) ~ (e4 = e3)
% 21.41/5.55 |
% 21.41/5.55 | Simplifying 807 yields:
% 21.41/5.55 | (24) ~ (e4 = e3)
% 21.41/5.55 |
% 21.41/5.55 +-Applying beta-rule and splitting (147), into two cases.
% 21.41/5.55 |-Branch one:
% 21.41/5.55 | (431) all_0_6_6 = e4
% 21.41/5.56 |
% 21.41/5.56 | Combining equations (431,448) yields a new equation:
% 21.41/5.56 | (620) e4 = e3
% 21.41/5.56 |
% 21.41/5.56 | Simplifying 620 yields:
% 21.41/5.56 | (452) e4 = e3
% 21.41/5.56 |
% 21.41/5.56 | Equations (452) can reduce 24 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (400) ~ (all_0_6_6 = e4)
% 21.41/5.56 | (1397) all_0_15_15 = e4 | all_0_18_18 = e4
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (213), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (363) all_0_18_18 = e2
% 21.41/5.56 |
% 21.41/5.56 | Equations (363) can reduce 232 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (232) ~ (all_0_18_18 = e2)
% 21.41/5.56 | (598) all_0_18_18 = e4 | all_0_18_18 = e3 | all_0_18_18 = e0
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (598), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (599) all_0_18_18 = e4
% 21.41/5.56 |
% 21.41/5.56 | Equations (599) can reduce 17 to:
% 21.41/5.56 | (217) ~ (e4 = e1)
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (63), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (356) all_0_9_9 = e1
% 21.41/5.56 |
% 21.41/5.56 | Combining equations (315,356) yields a new equation:
% 21.41/5.56 | (1500) e4 = e1
% 21.41/5.56 |
% 21.41/5.56 | Simplifying 1500 yields:
% 21.41/5.56 | (934) e4 = e1
% 21.41/5.56 |
% 21.41/5.56 | Equations (934) can reduce 217 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (310) ~ (all_0_9_9 = e1)
% 21.41/5.56 | (309) all_0_11_11 = e1
% 21.41/5.56 |
% 21.41/5.56 | Equations (309) can reduce 171 to:
% 21.41/5.56 | (1801) ~ (all_0_7_7 = e1)
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (126), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (459) all_0_5_5 = e1
% 21.41/5.56 |
% 21.41/5.56 | Equations (459) can reduce 265 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (265) ~ (all_0_5_5 = e1)
% 21.41/5.56 | (1035) all_0_9_9 = e1 | all_0_17_17 = e1
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (175), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (1002) all_0_4_4 = e1
% 21.41/5.56 |
% 21.41/5.56 | Equations (1002) can reduce 39 to:
% 21.41/5.56 | (1003) ~ (all_0_5_5 = e1)
% 21.41/5.56 |
% 21.41/5.56 | Simplifying 1003 yields:
% 21.41/5.56 | (265) ~ (all_0_5_5 = e1)
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (455), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (456) all_0_5_5 = e3
% 21.41/5.56 |
% 21.41/5.56 | Equations (456) can reduce 392 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (392) ~ (all_0_5_5 = e3)
% 21.41/5.56 | (459) all_0_5_5 = e1
% 21.41/5.56 |
% 21.41/5.56 | Equations (459) can reduce 265 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (742) ~ (all_0_4_4 = e1)
% 21.41/5.56 | (1292) all_0_5_5 = e1 | all_0_7_7 = e1
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (1292), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (459) all_0_5_5 = e1
% 21.41/5.56 |
% 21.41/5.56 | Equations (459) can reduce 265 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (265) ~ (all_0_5_5 = e1)
% 21.41/5.56 | (1385) all_0_7_7 = e1
% 21.41/5.56 |
% 21.41/5.56 | Equations (1385) can reduce 1801 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (674) ~ (all_0_18_18 = e4)
% 21.41/5.56 | (675) all_0_18_18 = e3 | all_0_18_18 = e0
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (1397), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (399) all_0_15_15 = e4
% 21.41/5.56 |
% 21.41/5.56 | Combining equations (399,395) yields a new equation:
% 21.41/5.56 | (847) e4 = e2
% 21.41/5.56 |
% 21.41/5.56 | Simplifying 847 yields:
% 21.41/5.56 | (297) e4 = e2
% 21.41/5.56 |
% 21.41/5.56 | Equations (297) can reduce 205 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (461) ~ (all_0_15_15 = e4)
% 21.41/5.56 | (599) all_0_18_18 = e4
% 21.41/5.56 |
% 21.41/5.56 | Equations (599) can reduce 674 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (302) ~ (all_0_9_9 = e4)
% 21.41/5.56 | (801) all_0_14_14 = e4 | all_0_17_17 = e4
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (801), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (470) all_0_14_14 = e4
% 21.41/5.56 |
% 21.41/5.56 | Combining equations (470,391) yields a new equation:
% 21.41/5.56 | (620) e4 = e3
% 21.41/5.56 |
% 21.41/5.56 | Simplifying 620 yields:
% 21.41/5.56 | (452) e4 = e3
% 21.41/5.56 |
% 21.41/5.56 | Equations (452) can reduce 24 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (514) ~ (all_0_14_14 = e4)
% 21.41/5.56 | (846) all_0_17_17 = e4
% 21.41/5.56 |
% 21.41/5.56 | Combining equations (351,846) yields a new equation:
% 21.41/5.56 | (327) e4 = e0
% 21.41/5.56 |
% 21.41/5.56 | Equations (327) can reduce 7 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (426) ~ (all_0_6_6 = e3)
% 21.41/5.56 | (2280) all_0_7_7 = e3 | all_0_8_8 = e3
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (2280), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (713) all_0_7_7 = e3
% 21.41/5.56 |
% 21.41/5.56 | Equations (713) can reduce 1269 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (1269) ~ (all_0_7_7 = e3)
% 21.41/5.56 | (425) all_0_8_8 = e3
% 21.41/5.56 |
% 21.41/5.56 | Combining equations (425,2154) yields a new equation:
% 21.41/5.56 | (1102) e3 = e0
% 21.41/5.56 |
% 21.41/5.56 | Simplifying 1102 yields:
% 21.41/5.56 | (1103) e3 = e0
% 21.41/5.56 |
% 21.41/5.56 | Equations (1103) can reduce 61 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (520) ~ (all_0_1_1 = e2)
% 21.41/5.56 | (543) all_0_2_2 = e2 | all_0_3_3 = e2
% 21.41/5.56 |
% 21.41/5.56 +-Applying beta-rule and splitting (543), into two cases.
% 21.41/5.56 |-Branch one:
% 21.41/5.56 | (270) all_0_2_2 = e2
% 21.41/5.56 |
% 21.41/5.56 | Combining equations (270,384) yields a new equation:
% 21.41/5.56 | (483) e3 = e2
% 21.41/5.56 |
% 21.41/5.56 | Equations (483) can reduce 191 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (379) ~ (all_0_2_2 = e2)
% 21.41/5.56 | (277) all_0_3_3 = e2
% 21.41/5.56 |
% 21.41/5.56 | Combining equations (292,277) yields a new equation:
% 21.41/5.56 | (847) e4 = e2
% 21.41/5.56 |
% 21.41/5.56 | Simplifying 847 yields:
% 21.41/5.56 | (297) e4 = e2
% 21.41/5.56 |
% 21.41/5.56 | Equations (297) can reduce 205 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (459) all_0_5_5 = e1
% 21.41/5.56 | (713) all_0_7_7 = e3
% 21.41/5.56 |
% 21.41/5.56 | Equations (713) can reduce 1269 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 |-Branch two:
% 21.41/5.56 | (496) ~ (all_0_2_2 = e3)
% 21.41/5.56 | (672) all_0_3_3 = e3
% 21.41/5.56 |
% 21.41/5.56 | Combining equations (672,292) yields a new equation:
% 21.41/5.56 | (452) e4 = e3
% 21.41/5.56 |
% 21.41/5.56 | Equations (452) can reduce 24 to:
% 21.41/5.56 | (267) $false
% 21.41/5.56 |
% 21.41/5.56 |-The branch is then unsatisfiable
% 21.41/5.56 % SZS output end Proof for theBenchmark
% 21.41/5.56
% 21.41/5.56 4989ms
%------------------------------------------------------------------------------