TSTP Solution File: ALG062+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG062+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:34:09 EDT 2022
% Result : Theorem 6.31s 2.01s
% Output : Proof 16.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG062+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 07:42:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.58 ____ _
% 0.19/0.58 ___ / __ \_____(_)___ ________ __________
% 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic
% 0.19/0.58 (ePrincess v.1.0)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2015
% 0.19/0.58 (c) Peter Backeman, 2014-2015
% 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58 Bug reports to peter@backeman.se
% 0.19/0.58
% 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.33/1.16 Prover 0: Preprocessing ...
% 4.45/1.57 Prover 0: Constructing countermodel ...
% 6.31/2.01 Prover 0: proved (1383ms)
% 6.31/2.01
% 6.31/2.01 No countermodel exists, formula is valid
% 6.31/2.01 % SZS status Theorem for theBenchmark
% 6.31/2.01
% 6.31/2.01 Generating proof ... found it (size 4047)
% 13.66/3.77
% 13.66/3.77 % SZS output start Proof for theBenchmark
% 13.66/3.77 Assumed formulas after preprocessing and simplification:
% 13.66/3.77 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ( ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v6) & ~ (v20 = v3) & ~ (v20 = e2) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v14) & ~ (v19 = v2) & ~ (v19 = e3) & ~ (v19 = e2) & ~ (v19 = e0) & ~ (v18 = v17) & ~ (v18 = v13) & ~ (v18 = v9) & ~ (v18 = v1) & ~ (v18 = e4) & ~ (v18 = e2) & ~ (v17 = v12) & ~ (v17 = v8) & ~ (v17 = v5) & ~ (v17 = v0) & ~ (v17 = e2) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = v12) & ~ (v16 = v11) & ~ (v16 = v7) & ~ (v16 = v4) & ~ (v16 = e2) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v10) & ~ (v15 = v6) & ~ (v15 = v3) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v2) & ~ (v14 = e3) & ~ (v14 = e0) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v1) & ~ (v13 = e4) & ~ (v12 = v8) & ~ (v12 = v5) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v4) & ~ (v11 = e3) & ~ (v11 = e2) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v3) & ~ (v10 = e3) & ~ (v9 = v8) & ~ (v9 = v1) & ~ (v9 = e4) & ~ (v9 = e3) & ~ (v8 = v5) & ~ (v8 = v0) & ~ (v8 = e3) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = e4) & ~ (v7 = e2) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v3) & ~ (v6 = e4) & ~ (v6 = e0) & ~ (v5 = v0) & ~ (v5 = e4) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v4 = e2) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e3) & ~ (v2 = e0) & ~ (v1 = v0) & ~ (v1 = e4) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = e2 & op(e4, e3) = v20 & op(e4, e2) = v19 & op(e4, e1) = v18 & op(e4, e0) = v17 & op(e3, unit) = e3 & op(e3, e4) = v16 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, unit) = e2 & op(e2, e4) = v11 & op(e2, e3) = v10 & op(e2, e2) = e3 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, unit) = e1 & op(e1, e4) = v7 & op(e1, e3) = v6 & op(e1, e2) = e0 & op(e1, e1) = e4 & op(e1, e0) = v5 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v21 | ~ (op(v24, v23) = v22) | ~ (op(v24, v23) = v21)) & (v20 = e4 | v20 = e3 | v20 = e1 | v20 = e0) & (v20 = e4 | v19 = e4 | v17 = e4) & (v20 = e4 | v15 = e4 | v10 = e4 | v3 = e4) & (v20 = e3 | v18 = e3 | v17 = e3) & (v20 = e3 | v15 = e3 | v6 = e3 | v3 = e3) & (v20 = e1 | v19 = e1 | v18 = e1 | v17 = e1) & (v20 = e1 | v15 = e1 | v10 = e1 | v6 = e1 | v3 = e1) & (v20 = e0 | v18 = e0 | v17 = e0) & (v20 = e0 | v15 = e0 | v10 = e0 | v3 = e0) & (v19 = e4 | v19 = e1) & (v19 = e4 | v14 = e4 | v2 = e4) & (v19 = e1 | v14 = e1 | v2 = e1) & (v18 = e3 | v18 = e1 | v18 = e0) & (v18 = e3 | v13 = e3 | v1 = e3) & (v18 = e1 | v13 = e1 | v9 = e1 | v1 = e1) & (v18 = e0 | v13 = e0 | v9 = e0 | v1 = e0) & (v17 = e4 | v17 = e3 | v17 = e1 | v17 = e0) & (v17 = e4 | v12 = e4 | v8 = e4 | v0 = e4) & (v17 = e3 | v12 = e3 | v5 = e3 | v0 = e3) & (v17 = e1 | v12 = e1 | v8 = e1 | v5 = e1 | v0 = e1) & (v17 = e0 | v12 = e0 | v8 = e0 | v0 = e0) & (v16 = e4 | v16 = e3 | v16 = e1 | v16 = e0) & (v16 = e4 | v15 = e4 | v14 = e4 | v12 = e4) & (v16 = e4 | v11 = e4 | v4 = e4) & (v16 = e3 | v15 = e3 | v13 = e3 | v12 = e3) & (v16 = e3 | v7 = e3 | v4 = e3) & (v16 = e1 | v15 = e1 | v14 = e1 | v13 = e1 | v12 = e1) & (v16 = e1 | v11 = e1 | v7 = e1 | v4 = e1) & (v16 = e0 | v15 = e0 | v13 = e0 | v12 = e0) & (v16 = e0 | v11 = e0 | v4 = e0) & (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v15 = e2 | v10 = e2 | v6 = e2 | v3 = e2) & (v15 = e1 | v0 = e1) & (v15 = e0 | v0 = e0) & (v14 = e4 | v14 = e2 | v14 = e1) & (v14 = e2 | v2 = e2) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v13 = e2 | v9 = e2 | v1 = e2) & (v12 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e2 | v8 = e2 | v5 = e2 | v0 = e2) & (v11 = e4 | v11 = e1 | v11 = e0) & (v11 = e4 | v10 = e4 | v8 = e4) & (v11 = e1 | v10 = e1 | v9 = e1 | v8 = e1) & (v11 = e0 | v10 = e0 | v9 = e0 | v8 = e0) & (v10 = e4 | v10 = e2 | v10 = e1 | v10 = e0) & (v10 = e2 | v9 = e2 | v8 = e2) & (v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e1) & (v7 = e3 | v6 = e3 | v5 = e3) & (v7 = e1 | v6 = e1 | v5 = e1) & (v6 = e3 | v6 = e2 | v6 = e1) & (v6 = e2 | v5 = e2) & (v5 = e3 | v5 = e2 | v5 = e1) & (v4 = e4 | v4 = e3 | v4 = e1 | v4 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v1 = e3 | v0 = e3) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v4 = e0 | v3 = e0 | v1 = e0 | v0 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v2 = e4 | v2 = e2 | v2 = e1) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v19 = e4 & ~ (v15 = e2) & ~ (v12 = e2) & ~ (v9 = e2) & ~ (v8 = e2) & ~ (v6 = e2) & ~ (v3 = e2) & ~ (v0 = e2) & ~ (unit = e2) & ( ~ (v13 = e2) | v14 = e1) & ( ~ (v1 = e2) | v2 = e1)) | (v10 = e2 & ~ (v7 = e3) & ~ (v5 = e3) & ~ (unit = e3) & ( ~ (v18 = e3) | v20 = e1) & ( ~ (v17 = e3) | v20 = e0) & ( ~ (v16 = e3) | v15 = e4) & ( ~ (v13 = e3) | v15 = e1) & ( ~ (v12 = e3) | v15 = e0) & ( ~ (v4 = e3) | v3 = e4) & ( ~ (v1 = e3) | v3 = e1) & ( ~ (v0 = e3) | v3 = e0)) | (v7 = e1 & ~ (v20 = e4) & ~ (v17 = e4) & ~ (v14 = e4) & ~ (v10 = e4) & ~ (v2 = e4) & ~ (unit = e4) & ( ~ (v15 = e4) | v16 = e3) & ( ~ (v12 = e4) | v16 = e0) & ( ~ (v8 = e4) | v11 = e0) & ( ~ (v3 = e4) | v4 = e3) & ( ~ (v0 = e4) | v4 = e0)) | (v5 = e2 & ~ (v10 = e0) & ~ (unit = e0) & ( ~ (v20 = e0) | v17 = e3) & ( ~ (v18 = e0) | v17 = e1) & ( ~ (v16 = e0) | v12 = e4) & ( ~ (v15 = e0) | v12 = e3) & ( ~ (v13 = e0) | v12 = e1) & ( ~ (v11 = e0) | v8 = e4) & ( ~ (v9 = e0) | v8 = e1) & ( ~ (v4 = e0) | v0 = e4) & ( ~ (v3 = e0) | v0 = e3) & ( ~ (v1 = e0) | v0 = e1)) | ( ~ (v19 = e1) & ~ (v16 = e1) & ~ (v11 = e1) & ~ (v10 = e1) & ~ (v6 = e1) & ~ (v5 = e1) & ~ (v4 = e1) & ( ~ (v20 = e1) | (v18 = e3 & ~ (unit = e1))) & ( ~ (v18 = e1) | ~ (unit = e1)) & ( ~ (v17 = e1) | (v18 = e0 & ~ (unit = e1))) & ( ~ (v15 = e1) | (v13 = e3 & ~ (unit = e1))) & ( ~ (v14 = e1) | (v13 = e2 & ~ (unit = e1))) & ( ~ (v13 = e1) | ~ (unit = e1)) & ( ~ (v12 = e1) | (v13 = e0 & ~ (unit = e1))) & ( ~ (v9 = e1) | ~ (unit = e1)) & ( ~ (v8 = e1) | (v9 = e0 & ~ (unit = e1))) & ( ~ (v7 = e1) | ~ (unit = e1)) & ( ~ (v3 = e1) | (v1 = e3 & ~ (unit = e1))) & ( ~ (v2 = e1) | (v1 = e2 & ~ (unit = e1))) & ( ~ (v1 = e1) | ~ (unit = e1)) & ( ~ (v0 = e1) | (v1 = e0 & ~ (unit = e1))))))
% 14.06/3.82 | 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:
% 14.06/3.82 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_0_0 = all_0_2_2) & ~ (all_0_0_0 = all_0_3_3) & ~ (all_0_0_0 = all_0_5_5) & ~ (all_0_0_0 = all_0_10_10) & ~ (all_0_0_0 = all_0_14_14) & ~ (all_0_0_0 = all_0_17_17) & ~ (all_0_0_0 = e2) & ~ (all_0_1_1 = all_0_2_2) & ~ (all_0_1_1 = all_0_3_3) & ~ (all_0_1_1 = all_0_6_6) & ~ (all_0_1_1 = all_0_18_18) & ~ (all_0_1_1 = e3) & ~ (all_0_1_1 = e2) & ~ (all_0_1_1 = e0) & ~ (all_0_2_2 = all_0_3_3) & ~ (all_0_2_2 = all_0_7_7) & ~ (all_0_2_2 = all_0_11_11) & ~ (all_0_2_2 = all_0_19_19) & ~ (all_0_2_2 = e4) & ~ (all_0_2_2 = e2) & ~ (all_0_3_3 = all_0_8_8) & ~ (all_0_3_3 = all_0_12_12) & ~ (all_0_3_3 = all_0_15_15) & ~ (all_0_3_3 = all_0_20_20) & ~ (all_0_3_3 = e2) & ~ (all_0_4_4 = all_0_5_5) & ~ (all_0_4_4 = all_0_6_6) & ~ (all_0_4_4 = all_0_7_7) & ~ (all_0_4_4 = all_0_8_8) & ~ (all_0_4_4 = all_0_9_9) & ~ (all_0_4_4 = all_0_13_13) & ~ (all_0_4_4 = all_0_16_16) & ~ (all_0_4_4 = e2) & ~ (all_0_5_5 = all_0_6_6) & ~ (all_0_5_5 = all_0_7_7) & ~ (all_0_5_5 = all_0_8_8) & ~ (all_0_5_5 = all_0_10_10) & ~ (all_0_5_5 = all_0_14_14) & ~ (all_0_5_5 = all_0_17_17) & ~ (all_0_6_6 = all_0_7_7) & ~ (all_0_6_6 = all_0_8_8) & ~ (all_0_6_6 = all_0_18_18) & ~ (all_0_6_6 = e3) & ~ (all_0_6_6 = e0) & ~ (all_0_7_7 = all_0_8_8) & ~ (all_0_7_7 = all_0_11_11) & ~ (all_0_7_7 = all_0_19_19) & ~ (all_0_7_7 = e4) & ~ (all_0_8_8 = all_0_12_12) & ~ (all_0_8_8 = all_0_15_15) & ~ (all_0_8_8 = all_0_20_20) & ~ (all_0_9_9 = all_0_10_10) & ~ (all_0_9_9 = all_0_11_11) & ~ (all_0_9_9 = all_0_12_12) & ~ (all_0_9_9 = all_0_13_13) & ~ (all_0_9_9 = all_0_16_16) & ~ (all_0_9_9 = e3) & ~ (all_0_9_9 = e2) & ~ (all_0_10_10 = all_0_11_11) & ~ (all_0_10_10 = all_0_12_12) & ~ (all_0_10_10 = all_0_14_14) & ~ (all_0_10_10 = all_0_17_17) & ~ (all_0_10_10 = e3) & ~ (all_0_11_11 = all_0_12_12) & ~ (all_0_11_11 = all_0_19_19) & ~ (all_0_11_11 = e4) & ~ (all_0_11_11 = e3) & ~ (all_0_12_12 = all_0_15_15) & ~ (all_0_12_12 = all_0_20_20) & ~ (all_0_12_12 = e3) & ~ (all_0_13_13 = all_0_14_14) & ~ (all_0_13_13 = all_0_15_15) & ~ (all_0_13_13 = all_0_16_16) & ~ (all_0_13_13 = e4) & ~ (all_0_13_13 = e2) & ~ (all_0_13_13 = e0) & ~ (all_0_14_14 = all_0_15_15) & ~ (all_0_14_14 = all_0_17_17) & ~ (all_0_14_14 = e4) & ~ (all_0_14_14 = e0) & ~ (all_0_15_15 = all_0_20_20) & ~ (all_0_15_15 = e4) & ~ (all_0_15_15 = e0) & ~ (all_0_16_16 = all_0_17_17) & ~ (all_0_16_16 = all_0_18_18) & ~ (all_0_16_16 = all_0_19_19) & ~ (all_0_16_16 = all_0_20_20) & ~ (all_0_16_16 = e2) & ~ (all_0_17_17 = all_0_18_18) & ~ (all_0_17_17 = all_0_19_19) & ~ (all_0_17_17 = all_0_20_20) & ~ (all_0_18_18 = all_0_19_19) & ~ (all_0_18_18 = all_0_20_20) & ~ (all_0_18_18 = e3) & ~ (all_0_18_18 = e0) & ~ (all_0_19_19 = all_0_20_20) & ~ (all_0_19_19 = e4) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = e2 & op(e4, e3) = all_0_0_0 & op(e4, e2) = all_0_1_1 & op(e4, e1) = all_0_2_2 & op(e4, e0) = all_0_3_3 & op(e3, unit) = e3 & op(e3, e4) = all_0_4_4 & op(e3, e3) = all_0_5_5 & op(e3, e2) = all_0_6_6 & op(e3, e1) = all_0_7_7 & op(e3, e0) = all_0_8_8 & op(e2, unit) = e2 & op(e2, e4) = all_0_9_9 & op(e2, e3) = all_0_10_10 & op(e2, e2) = e3 & op(e2, e1) = all_0_11_11 & op(e2, e0) = all_0_12_12 & op(e1, unit) = e1 & op(e1, e4) = all_0_13_13 & op(e1, e3) = all_0_14_14 & op(e1, e2) = e0 & op(e1, e1) = e4 & op(e1, e0) = all_0_15_15 & op(e0, unit) = e0 & op(e0, e4) = all_0_16_16 & op(e0, e3) = all_0_17_17 & op(e0, e2) = all_0_18_18 & op(e0, e1) = all_0_19_19 & op(e0, e0) = all_0_20_20 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & (all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e1 | all_0_0_0 = e0) & (all_0_0_0 = e4 | all_0_1_1 = e4 | all_0_3_3 = e4) & (all_0_0_0 = e4 | all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4) & (all_0_0_0 = e3 | all_0_2_2 = e3 | all_0_3_3 = e3) & (all_0_0_0 = e3 | all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3) & (all_0_0_0 = e1 | all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1) & (all_0_0_0 = e1 | all_0_5_5 = e1 | all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_17_17 = e1) & (all_0_0_0 = e0 | all_0_2_2 = e0 | all_0_3_3 = e0) & (all_0_0_0 = e0 | all_0_5_5 = e0 | all_0_10_10 = e0 | all_0_17_17 = e0) & (all_0_1_1 = e4 | all_0_1_1 = e1) & (all_0_1_1 = e4 | all_0_6_6 = e4 | all_0_18_18 = e4) & (all_0_1_1 = e1 | all_0_6_6 = e1 | all_0_18_18 = e1) & (all_0_2_2 = e3 | all_0_2_2 = e1 | all_0_2_2 = e0) & (all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_19_19 = e3) & (all_0_2_2 = e1 | all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1) & (all_0_2_2 = e0 | all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0) & (all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1 | all_0_3_3 = e0) & (all_0_3_3 = e4 | all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4) & (all_0_3_3 = e3 | all_0_8_8 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3) & (all_0_3_3 = e1 | all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1) & (all_0_3_3 = e0 | all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0) & (all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0) & (all_0_4_4 = e4 | all_0_5_5 = e4 | all_0_6_6 = e4 | all_0_8_8 = e4) & (all_0_4_4 = e4 | all_0_9_9 = e4 | all_0_16_16 = e4) & (all_0_4_4 = e3 | all_0_5_5 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3) & (all_0_4_4 = e3 | all_0_13_13 = e3 | all_0_16_16 = e3) & (all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_6_6 = e1 | all_0_7_7 = e1 | all_0_8_8 = e1) & (all_0_4_4 = e1 | all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_16_16 = e1) & (all_0_4_4 = e0 | all_0_5_5 = e0 | all_0_7_7 = e0 | all_0_8_8 = e0) & (all_0_4_4 = e0 | all_0_9_9 = e0 | all_0_16_16 = e0) & (all_0_5_5 = e4 | all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0) & (all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2) & (all_0_5_5 = e2 | all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2) & (all_0_5_5 = e1 | all_0_20_20 = e1) & (all_0_5_5 = e0 | all_0_20_20 = e0) & (all_0_6_6 = e4 | all_0_6_6 = e2 | all_0_6_6 = e1) & (all_0_6_6 = e2 | all_0_18_18 = e2) & (all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1 | all_0_7_7 = e0) & (all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2) & (all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0) & (all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2) & (all_0_9_9 = e4 | all_0_9_9 = e1 | all_0_9_9 = e0) & (all_0_9_9 = e4 | all_0_10_10 = e4 | all_0_12_12 = e4) & (all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1) & (all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0) & (all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0) & (all_0_10_10 = e2 | all_0_11_11 = e2 | all_0_12_12 = e2) & (all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0) & (all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0) & (all_0_13_13 = e3 | all_0_13_13 = e1) & (all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3) & (all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1) & (all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1) & (all_0_14_14 = e2 | all_0_15_15 = e2) & (all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1) & (all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0) & (all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_20_20 = e4) & (all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3) & (all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1) & (all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_19_19 = e0 | all_0_20_20 = e0) & (all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0) & (all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2) & (all_0_18_18 = e4 | all_0_18_18 = e2 | all_0_18_18 = e1) & (all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0) & (all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)) | ( ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))))
% 14.06/3.84 |
% 14.06/3.84 | Applying alpha-rule on (1) yields:
% 14.06/3.84 | (2) op(e1, e4) = all_0_13_13
% 14.06/3.84 | (3) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)) | ( ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))))
% 14.06/3.84 | (4) op(e3, e4) = all_0_4_4
% 14.06/3.84 | (5) ~ (all_0_16_16 = all_0_18_18)
% 14.06/3.84 | (6) ~ (all_0_4_4 = all_0_9_9)
% 14.06/3.84 | (7) ~ (e4 = e0)
% 14.06/3.84 | (8) all_0_4_4 = e0 | all_0_5_5 = e0 | all_0_7_7 = e0 | all_0_8_8 = e0
% 14.06/3.84 | (9) ~ (all_0_16_16 = all_0_20_20)
% 14.06/3.84 | (10) ~ (all_0_4_4 = all_0_6_6)
% 14.06/3.84 | (11) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 14.06/3.84 | (12) op(e2, e2) = e3
% 14.06/3.84 | (13) all_0_4_4 = e0 | all_0_9_9 = e0 | all_0_16_16 = e0
% 14.06/3.84 | (14) all_0_2_2 = e1 | all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1
% 14.06/3.84 | (15) op(e4, unit) = e4
% 14.06/3.84 | (16) op(e2, e3) = all_0_10_10
% 14.06/3.84 | (17) op(e4, e1) = all_0_2_2
% 14.06/3.84 | (18) op(e1, e1) = e4
% 14.06/3.85 | (19) op(e2, e0) = all_0_12_12
% 14.06/3.85 | (20) ~ (all_0_3_3 = all_0_8_8)
% 14.06/3.85 | (21) all_0_5_5 = e0 | all_0_20_20 = e0
% 14.06/3.85 | (22) all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_6_6 = e1 | all_0_7_7 = e1 | all_0_8_8 = e1
% 14.06/3.85 | (23) ~ (all_0_7_7 = all_0_11_11)
% 14.06/3.85 | (24) ~ (e4 = e3)
% 14.06/3.85 | (25) ~ (all_0_0_0 = all_0_2_2)
% 14.06/3.85 | (26) all_0_0_0 = e4 | all_0_1_1 = e4 | all_0_3_3 = e4
% 14.06/3.85 | (27) op(unit, e3) = e3
% 14.06/3.85 | (28) op(e4, e4) = e2
% 14.06/3.85 | (29) all_0_0_0 = e4 | all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4
% 14.06/3.85 | (30) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 14.06/3.85 | (31) all_0_0_0 = e1 | all_0_5_5 = e1 | all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_17_17 = e1
% 14.06/3.85 | (32) ~ (all_0_7_7 = all_0_19_19)
% 14.06/3.85 | (33) ~ (all_0_16_16 = e2)
% 14.06/3.85 | (34) ~ (all_0_11_11 = e4)
% 14.06/3.85 | (35) ~ (all_0_15_15 = all_0_20_20)
% 14.06/3.85 | (36) ~ (all_0_9_9 = e2)
% 14.06/3.85 | (37) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e1 | all_0_16_16 = e0
% 14.06/3.85 | (38) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e1 | all_0_0_0 = e0
% 14.06/3.85 | (39) op(e3, e1) = all_0_7_7
% 14.06/3.85 | (40) op(e0, e0) = all_0_20_20
% 14.06/3.85 | (41) ~ (all_0_4_4 = all_0_7_7)
% 14.06/3.85 | (42) ~ (all_0_11_11 = all_0_12_12)
% 14.06/3.85 | (43) ~ (all_0_8_8 = all_0_15_15)
% 14.06/3.85 | (44) ~ (all_0_12_12 = e3)
% 14.06/3.85 | (45) ~ (all_0_10_10 = all_0_12_12)
% 14.06/3.85 | (46) op(unit, e0) = e0
% 14.06/3.85 | (47) ~ (e2 = e0)
% 14.06/3.85 | (48) ~ (all_0_2_2 = all_0_11_11)
% 14.06/3.85 | (49) all_0_2_2 = e3 | all_0_2_2 = e1 | all_0_2_2 = e0
% 14.06/3.85 | (50) ~ (all_0_3_3 = all_0_15_15)
% 14.06/3.85 | (51) ~ (all_0_0_0 = all_0_5_5)
% 14.06/3.85 | (52) all_0_0_0 = e0 | all_0_2_2 = e0 | all_0_3_3 = e0
% 14.06/3.85 | (53) ~ (all_0_16_16 = all_0_17_17)
% 14.06/3.85 | (54) ~ (all_0_1_1 = all_0_6_6)
% 14.06/3.85 | (55) ~ (all_0_0_0 = e2)
% 14.06/3.85 | (56) ~ (all_0_6_6 = all_0_18_18)
% 14.06/3.85 | (57) ~ (all_0_16_16 = all_0_19_19)
% 14.06/3.85 | (58) ~ (all_0_12_12 = all_0_20_20)
% 14.06/3.85 | (59) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 14.06/3.85 | (60) all_0_6_6 = e2 | all_0_18_18 = e2
% 14.06/3.85 | (61) ~ (all_0_0_0 = all_0_3_3)
% 14.06/3.85 | (62) all_0_5_5 = e2 | all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 14.06/3.85 | (63) op(e0, e2) = all_0_18_18
% 14.06/3.85 | (64) ~ (e3 = e0)
% 14.06/3.85 | (65) ~ (all_0_4_4 = all_0_5_5)
% 14.06/3.85 | (66) ~ (all_0_11_11 = e3)
% 14.06/3.85 | (67) all_0_4_4 = e1 | all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_16_16 = e1
% 14.06/3.85 | (68) ~ (all_0_13_13 = e4)
% 14.06/3.85 | (69) ~ (all_0_4_4 = all_0_13_13)
% 14.06/3.85 | (70) ~ (all_0_14_14 = e0)
% 14.06/3.85 | (71) op(e4, e0) = all_0_3_3
% 14.06/3.85 | (72) ~ (all_0_3_3 = all_0_20_20)
% 14.06/3.85 | (73) all_0_3_3 = e0 | all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0
% 14.06/3.85 | (74) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 14.06/3.85 | (75) ~ (all_0_2_2 = e2)
% 14.06/3.85 | (76) ~ (all_0_4_4 = all_0_16_16)
% 14.06/3.85 | (77) ~ (all_0_17_17 = all_0_20_20)
% 14.06/3.85 | (78) op(e0, e4) = all_0_16_16
% 14.06/3.85 | (79) ~ (all_0_8_8 = all_0_20_20)
% 14.06/3.85 | (80) ~ (all_0_0_0 = all_0_17_17)
% 14.06/3.85 | (81) all_0_6_6 = e4 | all_0_6_6 = e2 | all_0_6_6 = e1
% 14.06/3.85 | (82) ~ (all_0_2_2 = e4)
% 14.06/3.85 | (83) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e1 | all_0_3_3 = e0
% 14.06/3.85 | (84) ~ (all_0_3_3 = all_0_12_12)
% 14.06/3.85 | (85) ~ (all_0_2_2 = all_0_7_7)
% 14.06/3.85 | (86) ~ (all_0_1_1 = all_0_18_18)
% 14.06/3.85 | (87) all_0_4_4 = e3 | all_0_13_13 = e3 | all_0_16_16 = e3
% 14.06/3.86 | (88) all_0_9_9 = e4 | all_0_9_9 = e1 | all_0_9_9 = e0
% 14.06/3.86 | (89) ~ (all_0_13_13 = all_0_16_16)
% 14.06/3.86 | (90) op(e4, e2) = all_0_1_1
% 14.06/3.86 | (91) all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1
% 14.06/3.86 | (92) ~ (all_0_18_18 = all_0_20_20)
% 14.06/3.86 | (93) ~ (all_0_10_10 = all_0_14_14)
% 14.06/3.86 | (94) op(e3, e3) = all_0_5_5
% 14.06/3.86 | (95) all_0_5_5 = e2 | all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 14.06/3.86 | (96) all_0_18_18 = e4 | all_0_18_18 = e2 | all_0_18_18 = e1
% 14.06/3.86 | (97) ~ (all_0_2_2 = all_0_19_19)
% 14.06/3.86 | (98) op(e0, e3) = all_0_17_17
% 14.06/3.86 | (99) all_0_7_7 = e2 | all_0_11_11 = e2 | all_0_19_19 = e2
% 14.06/3.86 | (100) op(e3, e2) = all_0_6_6
% 14.06/3.86 | (101) all_0_3_3 = e1 | all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 14.06/3.86 | (102) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 14.06/3.86 | (103) ~ (all_0_3_3 = e2)
% 14.06/3.86 | (104) ~ (all_0_5_5 = all_0_8_8)
% 14.06/3.86 | (105) op(e1, e3) = all_0_14_14
% 14.06/3.86 | (106) all_0_1_1 = e1 | all_0_6_6 = e1 | all_0_18_18 = e1
% 14.06/3.86 | (107) ~ (all_0_9_9 = all_0_16_16)
% 14.06/3.86 | (108) op(e0, unit) = e0
% 14.06/3.86 | (109) ~ (all_0_5_5 = all_0_7_7)
% 14.06/3.86 | (110) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1
% 14.06/3.86 | (111) ~ (all_0_12_12 = all_0_15_15)
% 14.06/3.86 | (112) op(e1, e0) = all_0_15_15
% 14.06/3.86 | (113) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 14.06/3.86 | (114) ~ (all_0_14_14 = e4)
% 14.06/3.86 | (115) ~ (all_0_2_2 = all_0_3_3)
% 14.06/3.86 | (116) all_0_14_14 = e2 | all_0_15_15 = e2
% 14.06/3.86 | (117) ~ (all_0_8_8 = all_0_12_12)
% 14.06/3.86 | (118) all_0_4_4 = e4 | all_0_9_9 = e4 | all_0_16_16 = e4
% 14.06/3.86 | (119) ~ (all_0_1_1 = e0)
% 14.06/3.86 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 14.06/3.86 | (121) ~ (all_0_17_17 = all_0_18_18)
% 14.06/3.86 | (122) ~ (all_0_10_10 = all_0_17_17)
% 14.06/3.86 | (123) ~ (all_0_1_1 = e3)
% 14.06/3.86 | (124) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 14.06/3.86 | (125) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 14.06/3.86 | (126) op(e0, e1) = all_0_19_19
% 14.06/3.86 | (127) ~ (all_0_0_0 = all_0_10_10)
% 14.06/3.86 | (128) ~ (e1 = e0)
% 14.06/3.86 | (129) ~ (all_0_4_4 = all_0_8_8)
% 14.06/3.86 | (130) all_0_20_20 = e4 | all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 14.06/3.86 | (131) ~ (all_0_6_6 = all_0_8_8)
% 14.06/3.86 | (132) ~ (e3 = e1)
% 14.06/3.86 | (133) ~ (all_0_5_5 = all_0_6_6)
% 14.06/3.86 | (134) all_0_0_0 = e0 | all_0_5_5 = e0 | all_0_10_10 = e0 | all_0_17_17 = e0
% 14.06/3.86 | (135) ~ (all_0_9_9 = all_0_13_13)
% 14.06/3.86 | (136) ~ (all_0_13_13 = all_0_15_15)
% 14.06/3.86 | (137) ~ (all_0_19_19 = e4)
% 14.06/3.86 | (138) ~ (e2 = e1)
% 14.06/3.86 | (139) ~ (all_0_19_19 = all_0_20_20)
% 14.06/3.86 | (140) ~ (all_0_1_1 = all_0_2_2)
% 14.06/3.86 | (141) op(unit, e4) = e4
% 14.06/3.86 | (142) ~ (all_0_9_9 = e3)
% 14.06/3.87 | (143) all_0_4_4 = e4 | all_0_5_5 = e4 | all_0_6_6 = e4 | all_0_8_8 = e4
% 14.06/3.87 | (144) ~ (all_0_5_5 = all_0_17_17)
% 14.06/3.87 | (145) ~ (all_0_18_18 = e3)
% 14.06/3.87 | (146) ~ (all_0_15_15 = e4)
% 14.06/3.87 | (147) ~ (all_0_1_1 = e2)
% 14.06/3.87 | (148) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e1 | all_0_4_4 = e0
% 14.06/3.87 | (149) op(e2, e1) = all_0_11_11
% 14.06/3.87 | (150) all_0_5_5 = e1 | all_0_20_20 = e1
% 14.06/3.87 | (151) op(e2, unit) = e2
% 14.06/3.87 | (152) ~ (all_0_15_15 = e0)
% 14.06/3.87 | (153) op(e4, e3) = all_0_0_0
% 14.06/3.87 | (154) all_0_3_3 = e3 | all_0_8_8 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3
% 14.06/3.87 | (155) all_0_0_0 = e1 | all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1
% 14.06/3.87 | (156) ~ (all_0_13_13 = all_0_14_14)
% 14.06/3.87 | (157) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1
% 14.06/3.87 | (158) ~ (all_0_5_5 = all_0_14_14)
% 14.06/3.87 | (159) op(e3, unit) = e3
% 14.06/3.87 | (160) ~ (all_0_6_6 = e3)
% 14.06/3.87 | (161) ~ (all_0_0_0 = all_0_1_1)
% 14.06/3.87 | (162) all_0_2_2 = e0 | all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 14.06/3.87 | (163) all_0_10_10 = e2 | all_0_11_11 = e2 | all_0_12_12 = e2
% 14.06/3.87 | (164) ~ (all_0_6_6 = all_0_7_7)
% 14.06/3.87 | (165) ~ (all_0_5_5 = all_0_10_10)
% 14.06/3.87 | (166) all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 14.06/3.87 | (167) all_0_13_13 = e3 | all_0_13_13 = e1
% 14.06/3.87 | (168) ~ (all_0_7_7 = all_0_8_8)
% 14.06/3.87 | (169) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 14.06/3.87 | (170) all_0_9_9 = e4 | all_0_10_10 = e4 | all_0_12_12 = e4
% 14.06/3.87 | (171) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_19_19 = e0 | all_0_20_20 = e0
% 14.06/3.87 | (172) op(unit, e1) = e1
% 14.06/3.87 | (173) all_0_5_5 = e4 | all_0_5_5 = e3 | all_0_5_5 = e2 | all_0_5_5 = e1 | all_0_5_5 = e0
% 14.06/3.87 | (174) all_0_16_16 = e4 | all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_20_20 = e4
% 14.06/3.87 | (175) op(e2, e4) = all_0_9_9
% 14.06/3.87 | (176) ~ (all_0_9_9 = all_0_10_10)
% 14.06/3.87 | (177) 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
% 14.06/3.87 | (178) ~ (all_0_13_13 = e2)
% 14.06/3.87 | (179) all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_19_19 = e3
% 14.06/3.87 | (180) ~ (all_0_9_9 = all_0_11_11)
% 14.06/3.87 | (181) op(e3, e0) = all_0_8_8
% 14.06/3.87 | (182) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1
% 14.06/3.87 | (183) ~ (all_0_9_9 = all_0_12_12)
% 14.06/3.87 | (184) ~ (all_0_14_14 = all_0_15_15)
% 14.06/3.87 | (185) all_0_4_4 = e3 | all_0_5_5 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 14.06/3.87 | (186) op(e1, unit) = e1
% 14.06/3.87 | (187) ~ (all_0_4_4 = e2)
% 14.06/3.88 | (188) ~ (all_0_0_0 = all_0_14_14)
% 14.06/3.88 | (189) all_0_1_1 = e4 | all_0_1_1 = e1
% 14.06/3.88 | (190) ~ (all_0_1_1 = all_0_3_3)
% 14.06/3.88 | (191) ~ (e3 = e2)
% 14.06/3.88 | (192) ~ (all_0_13_13 = e0)
% 14.06/3.88 | (193) ~ (all_0_6_6 = e0)
% 14.06/3.88 | (194) ~ (e4 = e2)
% 14.06/3.88 | (195) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 14.06/3.88 | (196) ~ (all_0_10_10 = e3)
% 14.06/3.88 | (197) all_0_0_0 = e3 | all_0_2_2 = e3 | all_0_3_3 = e3
% 14.06/3.88 | (198) ~ (all_0_14_14 = all_0_17_17)
% 14.06/3.88 | (199) op(unit, e2) = e2
% 14.06/3.88 | (200) ~ (all_0_18_18 = e0)
% 14.06/3.88 | (201) all_0_1_1 = e4 | all_0_6_6 = e4 | all_0_18_18 = e4
% 14.06/3.88 | (202) ~ (all_0_10_10 = all_0_11_11)
% 14.06/3.88 | (203) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 14.06/3.88 | (204) ~ (all_0_17_17 = all_0_19_19)
% 14.06/3.88 | (205) all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e1 | all_0_7_7 = e0
% 14.06/3.88 | (206) ~ (all_0_11_11 = all_0_19_19)
% 14.06/3.88 | (207) ~ (all_0_18_18 = all_0_19_19)
% 14.06/3.88 | (208) op(e1, e2) = e0
% 14.06/3.88 | (209) ~ (all_0_7_7 = e4)
% 14.06/3.88 | (210) ~ (e4 = e1)
% 14.06/3.88 | (211) all_0_3_3 = e4 | all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 14.06/3.88 | (212) all_0_0_0 = e3 | all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 14.06/3.88 |
% 14.06/3.88 +-Applying beta-rule and splitting (189), into two cases.
% 14.06/3.88 |-Branch one:
% 14.06/3.88 | (213) all_0_1_1 = e1
% 14.06/3.88 |
% 14.06/3.88 | Equations (213) can reduce 161 to:
% 14.06/3.88 | (214) ~ (all_0_0_0 = e1)
% 14.06/3.88 |
% 14.06/3.88 | Equations (213) can reduce 140 to:
% 14.06/3.88 | (215) ~ (all_0_2_2 = e1)
% 14.06/3.88 |
% 14.06/3.88 | Simplifying 215 yields:
% 14.06/3.88 | (216) ~ (all_0_2_2 = e1)
% 14.06/3.88 |
% 14.06/3.88 | Equations (213) can reduce 190 to:
% 14.06/3.88 | (217) ~ (all_0_3_3 = e1)
% 14.06/3.88 |
% 14.06/3.88 | Simplifying 217 yields:
% 14.06/3.88 | (218) ~ (all_0_3_3 = e1)
% 14.06/3.88 |
% 14.06/3.88 | Equations (213) can reduce 54 to:
% 14.06/3.88 | (219) ~ (all_0_6_6 = e1)
% 14.06/3.88 |
% 14.06/3.88 | Simplifying 219 yields:
% 14.06/3.88 | (220) ~ (all_0_6_6 = e1)
% 14.06/3.88 |
% 14.06/3.88 | Equations (213) can reduce 86 to:
% 14.06/3.88 | (221) ~ (all_0_18_18 = e1)
% 14.06/3.88 |
% 14.06/3.88 | Simplifying 221 yields:
% 14.06/3.88 | (222) ~ (all_0_18_18 = e1)
% 14.06/3.88 |
% 14.06/3.88 | From (213) and (90) follows:
% 14.06/3.89 | (223) op(e4, e2) = e1
% 14.06/3.89 |
% 14.06/3.89 +-Applying beta-rule and splitting (167), into two cases.
% 14.06/3.89 |-Branch one:
% 14.06/3.89 | (224) all_0_13_13 = e1
% 14.06/3.89 |
% 14.06/3.89 | Equations (224) can reduce 69 to:
% 14.06/3.89 | (225) ~ (all_0_4_4 = e1)
% 14.06/3.89 |
% 14.06/3.89 | Equations (224) can reduce 156 to:
% 14.06/3.89 | (226) ~ (all_0_14_14 = e1)
% 14.06/3.89 |
% 14.06/3.89 | Simplifying 226 yields:
% 14.06/3.89 | (227) ~ (all_0_14_14 = e1)
% 14.06/3.89 |
% 14.06/3.89 | Equations (224) can reduce 136 to:
% 14.06/3.89 | (228) ~ (all_0_15_15 = e1)
% 14.06/3.89 |
% 14.06/3.89 | Simplifying 228 yields:
% 14.06/3.89 | (229) ~ (all_0_15_15 = e1)
% 14.06/3.89 |
% 14.06/3.89 | Equations (224) can reduce 89 to:
% 14.06/3.89 | (230) ~ (all_0_16_16 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Simplifying 230 yields:
% 14.46/3.89 | (231) ~ (all_0_16_16 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Equations (224) can reduce 192 to:
% 14.46/3.89 | (128) ~ (e1 = e0)
% 14.46/3.89 |
% 14.46/3.89 +-Applying beta-rule and splitting (150), into two cases.
% 14.46/3.89 |-Branch one:
% 14.46/3.89 | (233) all_0_5_5 = e1
% 14.46/3.89 |
% 14.46/3.89 | Equations (233) can reduce 51 to:
% 14.46/3.89 | (214) ~ (all_0_0_0 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Equations (233) can reduce 65 to:
% 14.46/3.89 | (225) ~ (all_0_4_4 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Equations (233) can reduce 133 to:
% 14.46/3.89 | (219) ~ (all_0_6_6 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Simplifying 219 yields:
% 14.46/3.89 | (220) ~ (all_0_6_6 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Equations (233) can reduce 104 to:
% 14.46/3.89 | (238) ~ (all_0_8_8 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Simplifying 238 yields:
% 14.46/3.89 | (239) ~ (all_0_8_8 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Equations (233) can reduce 158 to:
% 14.46/3.89 | (226) ~ (all_0_14_14 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Simplifying 226 yields:
% 14.46/3.89 | (227) ~ (all_0_14_14 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Equations (233) can reduce 144 to:
% 14.46/3.89 | (242) ~ (all_0_17_17 = e1)
% 14.46/3.89 |
% 14.46/3.89 | Simplifying 242 yields:
% 14.46/3.89 | (243) ~ (all_0_17_17 = e1)
% 14.46/3.89 |
% 14.46/3.89 +-Applying beta-rule and splitting (21), into two cases.
% 14.46/3.89 |-Branch one:
% 14.46/3.89 | (244) all_0_5_5 = e0
% 14.46/3.89 |
% 14.46/3.89 | Combining equations (233,244) yields a new equation:
% 14.46/3.89 | (245) e1 = e0
% 14.46/3.89 |
% 14.46/3.89 | Simplifying 245 yields:
% 14.46/3.89 | (246) e1 = e0
% 14.46/3.89 |
% 14.46/3.89 | Equations (246) can reduce 128 to:
% 14.46/3.89 | (247) $false
% 14.46/3.89 |
% 14.46/3.89 |-The branch is then unsatisfiable
% 14.46/3.89 |-Branch two:
% 14.46/3.89 | (248) ~ (all_0_5_5 = e0)
% 14.46/3.89 | (249) all_0_20_20 = e0
% 14.46/3.89 |
% 14.46/3.89 | Equations (249) can reduce 72 to:
% 14.46/3.89 | (250) ~ (all_0_3_3 = e0)
% 14.46/3.89 |
% 14.46/3.89 | Equations (233) can reduce 248 to:
% 14.46/3.89 | (128) ~ (e1 = e0)
% 14.46/3.89 |
% 14.46/3.89 | Equations (249) can reduce 77 to:
% 14.46/3.89 | (252) ~ (all_0_17_17 = e0)
% 14.46/3.89 |
% 14.46/3.89 | Equations (249) can reduce 139 to:
% 14.46/3.89 | (253) ~ (all_0_19_19 = e0)
% 14.46/3.89 |
% 14.46/3.89 +-Applying beta-rule and splitting (110), into two cases.
% 14.46/3.89 |-Branch one:
% 14.46/3.89 | (254) all_0_16_16 = e1
% 14.46/3.89 |
% 14.46/3.89 | Equations (254) can reduce 231 to:
% 14.46/3.89 | (247) $false
% 14.46/3.89 |
% 14.46/3.89 |-The branch is then unsatisfiable
% 14.46/3.89 |-Branch two:
% 14.46/3.89 | (231) ~ (all_0_16_16 = e1)
% 14.46/3.89 | (257) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1
% 14.46/3.89 |
% 14.46/3.89 +-Applying beta-rule and splitting (101), into two cases.
% 14.46/3.89 |-Branch one:
% 14.46/3.89 | (258) all_0_3_3 = e1
% 14.46/3.89 |
% 14.46/3.89 | Equations (258) can reduce 218 to:
% 14.46/3.89 | (247) $false
% 14.46/3.89 |
% 14.46/3.89 |-The branch is then unsatisfiable
% 14.46/3.89 |-Branch two:
% 14.46/3.89 | (218) ~ (all_0_3_3 = e1)
% 14.46/3.89 | (261) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 14.46/3.89 |
% 14.46/3.89 +-Applying beta-rule and splitting (257), into two cases.
% 14.46/3.89 |-Branch one:
% 14.46/3.89 | (262) all_0_17_17 = e1
% 14.46/3.89 |
% 14.46/3.89 | Equations (262) can reduce 243 to:
% 14.46/3.89 | (247) $false
% 14.46/3.89 |
% 14.46/3.89 |-The branch is then unsatisfiable
% 14.46/3.89 |-Branch two:
% 14.46/3.89 | (243) ~ (all_0_17_17 = e1)
% 14.46/3.90 | (265) all_0_18_18 = e1 | all_0_19_19 = e1 | all_0_20_20 = e1
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (261), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (266) all_0_8_8 = e1
% 14.46/3.90 |
% 14.46/3.90 | Equations (266) can reduce 239 to:
% 14.46/3.90 | (247) $false
% 14.46/3.90 |
% 14.46/3.90 |-The branch is then unsatisfiable
% 14.46/3.90 |-Branch two:
% 14.46/3.90 | (239) ~ (all_0_8_8 = e1)
% 14.46/3.90 | (269) all_0_12_12 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (265), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (270) all_0_18_18 = e1
% 14.46/3.90 |
% 14.46/3.90 | Equations (270) can reduce 222 to:
% 14.46/3.90 | (247) $false
% 14.46/3.90 |
% 14.46/3.90 |-The branch is then unsatisfiable
% 14.46/3.90 |-Branch two:
% 14.46/3.90 | (222) ~ (all_0_18_18 = e1)
% 14.46/3.90 | (273) all_0_19_19 = e1 | all_0_20_20 = e1
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (273), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (274) all_0_19_19 = e1
% 14.46/3.90 |
% 14.46/3.90 | Equations (274) can reduce 97 to:
% 14.46/3.90 | (216) ~ (all_0_2_2 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Equations (274) can reduce 32 to:
% 14.46/3.90 | (276) ~ (all_0_7_7 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Equations (274) can reduce 204 to:
% 14.46/3.90 | (243) ~ (all_0_17_17 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Equations (274) can reduce 207 to:
% 14.46/3.90 | (222) ~ (all_0_18_18 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Equations (274) can reduce 137 to:
% 14.46/3.90 | (279) ~ (e4 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Simplifying 279 yields:
% 14.46/3.90 | (210) ~ (e4 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Equations (274) can reduce 253 to:
% 14.46/3.90 | (128) ~ (e1 = e0)
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (269), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (282) all_0_12_12 = e1
% 14.46/3.90 |
% 14.46/3.90 | Equations (282) can reduce 84 to:
% 14.46/3.90 | (218) ~ (all_0_3_3 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Equations (282) can reduce 117 to:
% 14.46/3.90 | (239) ~ (all_0_8_8 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Equations (282) can reduce 183 to:
% 14.46/3.90 | (285) ~ (all_0_9_9 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Equations (282) can reduce 45 to:
% 14.46/3.90 | (286) ~ (all_0_10_10 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Equations (282) can reduce 44 to:
% 14.46/3.90 | (287) ~ (e3 = e1)
% 14.46/3.90 |
% 14.46/3.90 | Simplifying 287 yields:
% 14.46/3.90 | (132) ~ (e3 = e1)
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (88), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (289) all_0_9_9 = e1
% 14.46/3.90 |
% 14.46/3.90 | Equations (289) can reduce 285 to:
% 14.46/3.90 | (247) $false
% 14.46/3.90 |
% 14.46/3.90 |-The branch is then unsatisfiable
% 14.46/3.90 |-Branch two:
% 14.46/3.90 | (285) ~ (all_0_9_9 = e1)
% 14.46/3.90 | (292) all_0_9_9 = e4 | all_0_9_9 = e0
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (116), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (293) all_0_14_14 = e2
% 14.46/3.90 |
% 14.46/3.90 | Equations (293) can reduce 93 to:
% 14.46/3.90 | (294) ~ (all_0_10_10 = e2)
% 14.46/3.90 |
% 14.46/3.90 | Equations (293) can reduce 184 to:
% 14.46/3.90 | (295) ~ (all_0_15_15 = e2)
% 14.46/3.90 |
% 14.46/3.90 | Simplifying 295 yields:
% 14.46/3.90 | (296) ~ (all_0_15_15 = e2)
% 14.46/3.90 |
% 14.46/3.90 | Equations (293) can reduce 227 to:
% 14.46/3.90 | (138) ~ (e2 = e1)
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (125), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (298) all_0_13_13 = e3
% 14.46/3.90 |
% 14.46/3.90 | Combining equations (224,298) yields a new equation:
% 14.46/3.90 | (299) e3 = e1
% 14.46/3.90 |
% 14.46/3.90 | Equations (299) can reduce 132 to:
% 14.46/3.90 | (247) $false
% 14.46/3.90 |
% 14.46/3.90 |-The branch is then unsatisfiable
% 14.46/3.90 |-Branch two:
% 14.46/3.90 | (301) ~ (all_0_13_13 = e3)
% 14.46/3.90 | (302) all_0_14_14 = e3 | all_0_15_15 = e3
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (163), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (303) all_0_10_10 = e2
% 14.46/3.90 |
% 14.46/3.90 | Equations (303) can reduce 294 to:
% 14.46/3.90 | (247) $false
% 14.46/3.90 |
% 14.46/3.90 |-The branch is then unsatisfiable
% 14.46/3.90 |-Branch two:
% 14.46/3.90 | (294) ~ (all_0_10_10 = e2)
% 14.46/3.90 | (306) all_0_11_11 = e2 | all_0_12_12 = e2
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (306), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (307) all_0_11_11 = e2
% 14.46/3.90 |
% 14.46/3.90 | Equations (307) can reduce 66 to:
% 14.46/3.90 | (308) ~ (e3 = e2)
% 14.46/3.90 |
% 14.46/3.90 | Simplifying 308 yields:
% 14.46/3.90 | (191) ~ (e3 = e2)
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (302), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (310) all_0_14_14 = e3
% 14.46/3.90 |
% 14.46/3.90 | Combining equations (293,310) yields a new equation:
% 14.46/3.90 | (311) e3 = e2
% 14.46/3.90 |
% 14.46/3.90 | Equations (311) can reduce 191 to:
% 14.46/3.90 | (247) $false
% 14.46/3.90 |
% 14.46/3.90 |-The branch is then unsatisfiable
% 14.46/3.90 |-Branch two:
% 14.46/3.90 | (313) ~ (all_0_14_14 = e3)
% 14.46/3.90 | (314) all_0_15_15 = e3
% 14.46/3.90 |
% 14.46/3.90 | Equations (314) can reduce 296 to:
% 14.46/3.90 | (191) ~ (e3 = e2)
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (3), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (316), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 14.46/3.90 |
% 14.46/3.90 +-Applying beta-rule and splitting (317), into two cases.
% 14.46/3.90 |-Branch one:
% 14.46/3.90 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 14.46/3.91 |
% 14.46/3.91 +-Applying beta-rule and splitting (318), into two cases.
% 14.46/3.91 |-Branch one:
% 14.46/3.91 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 14.46/3.91 |
% 14.46/3.91 | Applying alpha-rule on (319) yields:
% 14.46/3.91 | (320) ~ (all_0_8_8 = e2)
% 14.46/3.91 | (321) ~ (all_0_5_5 = e2)
% 14.46/3.91 | (322) ~ (all_0_11_11 = e2)
% 14.46/3.91 | (323) ~ (all_0_12_12 = e2)
% 14.46/3.91 | (324) ~ (all_0_20_20 = e2)
% 14.46/3.91 | (325) ~ (unit = e2)
% 14.46/3.91 | (326) ~ (all_0_14_14 = e2)
% 14.46/3.91 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 14.46/3.91 | (328) ~ (all_0_17_17 = e2)
% 14.46/3.91 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 14.46/3.91 | (330) all_0_1_1 = e4
% 14.46/3.91 |
% 14.46/3.91 | Combining equations (330,213) yields a new equation:
% 14.46/3.91 | (331) e4 = e1
% 14.46/3.91 |
% 14.46/3.91 | Simplifying 331 yields:
% 14.46/3.91 | (332) e4 = e1
% 14.46/3.91 |
% 14.46/3.91 | Equations (332) can reduce 210 to:
% 14.46/3.91 | (247) $false
% 14.46/3.91 |
% 14.46/3.91 |-The branch is then unsatisfiable
% 14.46/3.91 |-Branch two:
% 14.46/3.91 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 14.46/3.91 |
% 14.46/3.91 | Applying alpha-rule on (334) yields:
% 14.46/3.91 | (301) ~ (all_0_13_13 = e3)
% 14.46/3.91 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 14.46/3.91 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 14.46/3.91 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 14.46/3.91 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 14.46/3.91 | (340) ~ (all_0_15_15 = e3)
% 14.46/3.91 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 14.46/3.91 | (303) all_0_10_10 = e2
% 14.46/3.91 | (343) ~ (unit = e3)
% 14.46/3.91 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 14.46/3.91 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 14.46/3.91 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 14.46/3.91 |
% 14.46/3.91 | Equations (314) can reduce 340 to:
% 14.46/3.91 | (247) $false
% 14.46/3.91 |
% 14.46/3.91 |-The branch is then unsatisfiable
% 14.46/3.91 |-Branch two:
% 14.46/3.91 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 14.46/3.91 |
% 14.46/3.91 | Applying alpha-rule on (348) yields:
% 14.46/3.91 | (349) ~ (unit = e4)
% 14.46/3.91 | (350) ~ (all_0_6_6 = e4)
% 14.46/3.91 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 14.46/3.91 | (352) ~ (all_0_18_18 = e4)
% 14.46/3.91 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 14.46/3.91 | (354) ~ (all_0_0_0 = e4)
% 14.46/3.91 | (355) ~ (all_0_10_10 = e4)
% 14.46/3.91 | (356) ~ (all_0_3_3 = e4)
% 14.46/3.91 | (224) all_0_13_13 = e1
% 14.46/3.91 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 14.46/3.91 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 14.46/3.91 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 14.46/3.91 |
% 14.46/3.91 +-Applying beta-rule and splitting (96), into two cases.
% 14.46/3.91 |-Branch one:
% 14.46/3.91 | (270) all_0_18_18 = e1
% 14.46/3.91 |
% 14.46/3.91 | Equations (270) can reduce 222 to:
% 14.46/3.91 | (247) $false
% 14.46/3.91 |
% 14.46/3.91 |-The branch is then unsatisfiable
% 14.46/3.91 |-Branch two:
% 14.46/3.91 | (222) ~ (all_0_18_18 = e1)
% 14.46/3.91 | (364) all_0_18_18 = e4 | all_0_18_18 = e2
% 14.46/3.91 |
% 14.46/3.91 +-Applying beta-rule and splitting (364), into two cases.
% 14.46/3.91 |-Branch one:
% 14.46/3.91 | (365) all_0_18_18 = e4
% 14.46/3.91 |
% 14.46/3.91 | Equations (365) can reduce 352 to:
% 14.46/3.91 | (247) $false
% 14.46/3.91 |
% 14.46/3.91 |-The branch is then unsatisfiable
% 14.46/3.91 |-Branch two:
% 14.46/3.91 | (352) ~ (all_0_18_18 = e4)
% 14.46/3.91 | (368) all_0_18_18 = e2
% 14.46/3.91 |
% 14.46/3.91 | Equations (368) can reduce 56 to:
% 14.46/3.91 | (369) ~ (all_0_6_6 = e2)
% 14.46/3.91 |
% 14.46/3.91 +-Applying beta-rule and splitting (81), into two cases.
% 14.46/3.91 |-Branch one:
% 14.46/3.91 | (370) all_0_6_6 = e1
% 14.46/3.91 |
% 14.46/3.91 | Equations (370) can reduce 220 to:
% 14.46/3.91 | (247) $false
% 14.46/3.91 |
% 14.46/3.91 |-The branch is then unsatisfiable
% 14.46/3.91 |-Branch two:
% 14.46/3.91 | (220) ~ (all_0_6_6 = e1)
% 14.46/3.91 | (373) all_0_6_6 = e4 | all_0_6_6 = e2
% 14.46/3.91 |
% 14.46/3.91 +-Applying beta-rule and splitting (373), into two cases.
% 14.46/3.91 |-Branch one:
% 14.46/3.91 | (374) all_0_6_6 = e4
% 14.46/3.91 |
% 14.46/3.91 | Equations (374) can reduce 350 to:
% 14.46/3.91 | (247) $false
% 14.46/3.91 |
% 14.46/3.91 |-The branch is then unsatisfiable
% 14.46/3.91 |-Branch two:
% 14.46/3.91 | (350) ~ (all_0_6_6 = e4)
% 14.46/3.91 | (377) all_0_6_6 = e2
% 14.46/3.91 |
% 14.46/3.91 | Equations (377) can reduce 369 to:
% 14.46/3.91 | (247) $false
% 14.46/3.91 |
% 14.46/3.91 |-The branch is then unsatisfiable
% 14.46/3.91 |-Branch two:
% 14.46/3.91 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 14.46/3.91 |
% 14.46/3.91 | Applying alpha-rule on (379) yields:
% 14.46/3.91 | (380) all_0_15_15 = e2
% 14.46/3.91 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 14.46/3.91 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 14.46/3.91 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 14.46/3.91 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 14.46/3.91 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 14.46/3.91 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 14.46/3.91 | (387) ~ (unit = e0)
% 14.46/3.91 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 14.46/3.91 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 14.46/3.91 | (390) ~ (all_0_10_10 = e0)
% 14.46/3.91 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 14.46/3.91 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 14.46/3.91 |
% 14.46/3.91 | Combining equations (380,314) yields a new equation:
% 14.46/3.91 | (311) e3 = e2
% 14.46/3.91 |
% 14.46/3.91 | Equations (311) can reduce 191 to:
% 14.46/3.91 | (247) $false
% 14.46/3.91 |
% 14.46/3.91 |-The branch is then unsatisfiable
% 14.46/3.91 |-Branch two:
% 14.46/3.91 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 14.46/3.92 |
% 14.46/3.92 | Applying alpha-rule on (395) yields:
% 14.46/3.92 | (396) ~ (all_0_1_1 = e1)
% 14.46/3.92 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 14.46/3.92 | (227) ~ (all_0_14_14 = e1)
% 14.46/3.92 | (225) ~ (all_0_4_4 = e1)
% 14.46/3.92 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 14.46/3.92 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 14.46/3.92 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 14.46/3.92 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 14.46/3.92 | (231) ~ (all_0_16_16 = e1)
% 14.46/3.92 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 14.46/3.92 | (286) ~ (all_0_10_10 = e1)
% 14.46/3.92 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 14.46/3.92 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 14.46/3.92 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 14.46/3.92 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 14.46/3.92 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 14.46/3.92 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 14.46/3.92 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 14.46/3.92 | (285) ~ (all_0_9_9 = e1)
% 14.46/3.92 | (229) ~ (all_0_15_15 = e1)
% 14.46/3.92 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 14.46/3.92 |
% 14.46/3.92 | Equations (213) can reduce 396 to:
% 14.46/3.92 | (247) $false
% 14.46/3.92 |
% 14.46/3.92 |-The branch is then unsatisfiable
% 14.46/3.92 |-Branch two:
% 14.46/3.92 | (322) ~ (all_0_11_11 = e2)
% 14.46/3.92 | (419) all_0_12_12 = e2
% 14.46/3.92 |
% 14.46/3.92 | Combining equations (282,419) yields a new equation:
% 14.46/3.92 | (420) e2 = e1
% 14.46/3.92 |
% 14.46/3.92 | Equations (420) can reduce 138 to:
% 14.46/3.92 | (247) $false
% 14.46/3.92 |
% 14.46/3.92 |-The branch is then unsatisfiable
% 14.46/3.92 |-Branch two:
% 14.46/3.92 | (326) ~ (all_0_14_14 = e2)
% 14.46/3.92 | (380) all_0_15_15 = e2
% 14.46/3.92 |
% 14.46/3.92 | Equations (380) can reduce 43 to:
% 14.46/3.92 | (320) ~ (all_0_8_8 = e2)
% 14.46/3.92 |
% 14.46/3.92 | Equations (380) can reduce 184 to:
% 14.46/3.92 | (326) ~ (all_0_14_14 = e2)
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (91), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (426) all_0_14_14 = e1
% 14.46/3.92 |
% 14.46/3.92 | Equations (426) can reduce 227 to:
% 14.46/3.92 | (247) $false
% 14.46/3.92 |
% 14.46/3.92 |-The branch is then unsatisfiable
% 14.46/3.92 |-Branch two:
% 14.46/3.92 | (227) ~ (all_0_14_14 = e1)
% 14.46/3.92 | (429) all_0_14_14 = e3 | all_0_14_14 = e2
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (429), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (310) all_0_14_14 = e3
% 14.46/3.92 |
% 14.46/3.92 | Equations (310) can reduce 198 to:
% 14.46/3.92 | (431) ~ (all_0_17_17 = e3)
% 14.46/3.92 |
% 14.46/3.92 | Simplifying 431 yields:
% 14.46/3.92 | (432) ~ (all_0_17_17 = e3)
% 14.46/3.92 |
% 14.46/3.92 | Equations (310) can reduce 227 to:
% 14.46/3.92 | (132) ~ (e3 = e1)
% 14.46/3.92 |
% 14.46/3.92 | Equations (310) can reduce 70 to:
% 14.46/3.92 | (64) ~ (e3 = e0)
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (11), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (435) all_0_16_16 = e3
% 14.46/3.92 |
% 14.46/3.92 | Equations (435) can reduce 76 to:
% 14.46/3.92 | (436) ~ (all_0_4_4 = e3)
% 14.46/3.92 |
% 14.46/3.92 | Equations (435) can reduce 53 to:
% 14.46/3.92 | (431) ~ (all_0_17_17 = e3)
% 14.46/3.92 |
% 14.46/3.92 | Simplifying 431 yields:
% 14.46/3.92 | (432) ~ (all_0_17_17 = e3)
% 14.46/3.92 |
% 14.46/3.92 | Equations (435) can reduce 5 to:
% 14.46/3.92 | (439) ~ (all_0_18_18 = e3)
% 14.46/3.92 |
% 14.46/3.92 | Simplifying 439 yields:
% 14.46/3.92 | (145) ~ (all_0_18_18 = e3)
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (60), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (377) all_0_6_6 = e2
% 14.46/3.92 |
% 14.46/3.92 | Equations (377) can reduce 10 to:
% 14.46/3.92 | (187) ~ (all_0_4_4 = e2)
% 14.46/3.92 |
% 14.46/3.92 | Equations (377) can reduce 164 to:
% 14.46/3.92 | (443) ~ (all_0_7_7 = e2)
% 14.46/3.92 |
% 14.46/3.92 | Simplifying 443 yields:
% 14.46/3.92 | (444) ~ (all_0_7_7 = e2)
% 14.46/3.92 |
% 14.46/3.92 | Equations (377) can reduce 160 to:
% 14.46/3.92 | (308) ~ (e3 = e2)
% 14.46/3.92 |
% 14.46/3.92 | Simplifying 308 yields:
% 14.46/3.92 | (191) ~ (e3 = e2)
% 14.46/3.92 |
% 14.46/3.92 | Equations (377) can reduce 220 to:
% 14.46/3.92 | (138) ~ (e2 = e1)
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (201), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (330) all_0_1_1 = e4
% 14.46/3.92 |
% 14.46/3.92 | Combining equations (330,213) yields a new equation:
% 14.46/3.92 | (331) e4 = e1
% 14.46/3.92 |
% 14.46/3.92 | Simplifying 331 yields:
% 14.46/3.92 | (332) e4 = e1
% 14.46/3.92 |
% 14.46/3.92 | Equations (332) can reduce 210 to:
% 14.46/3.92 | (247) $false
% 14.46/3.92 |
% 14.46/3.92 |-The branch is then unsatisfiable
% 14.46/3.92 |-Branch two:
% 14.46/3.92 | (452) ~ (all_0_1_1 = e4)
% 14.46/3.92 | (453) all_0_6_6 = e4 | all_0_18_18 = e4
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (96), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (270) all_0_18_18 = e1
% 14.46/3.92 |
% 14.46/3.92 | Equations (270) can reduce 222 to:
% 14.46/3.92 | (247) $false
% 14.46/3.92 |
% 14.46/3.92 |-The branch is then unsatisfiable
% 14.46/3.92 |-Branch two:
% 14.46/3.92 | (222) ~ (all_0_18_18 = e1)
% 14.46/3.92 | (364) all_0_18_18 = e4 | all_0_18_18 = e2
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (113), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (458) all_0_17_17 = e2
% 14.46/3.92 |
% 14.46/3.92 | Equations (458) can reduce 122 to:
% 14.46/3.92 | (294) ~ (all_0_10_10 = e2)
% 14.46/3.92 |
% 14.46/3.92 | Equations (458) can reduce 243 to:
% 14.46/3.92 | (138) ~ (e2 = e1)
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (163), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (303) all_0_10_10 = e2
% 14.46/3.92 |
% 14.46/3.92 | Equations (303) can reduce 294 to:
% 14.46/3.92 | (247) $false
% 14.46/3.92 |
% 14.46/3.92 |-The branch is then unsatisfiable
% 14.46/3.92 |-Branch two:
% 14.46/3.92 | (294) ~ (all_0_10_10 = e2)
% 14.46/3.92 | (306) all_0_11_11 = e2 | all_0_12_12 = e2
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (306), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (307) all_0_11_11 = e2
% 14.46/3.92 |
% 14.46/3.92 | Equations (307) can reduce 202 to:
% 14.46/3.92 | (294) ~ (all_0_10_10 = e2)
% 14.46/3.92 |
% 14.46/3.92 | Equations (307) can reduce 34 to:
% 14.46/3.92 | (467) ~ (e4 = e2)
% 14.46/3.92 |
% 14.46/3.92 | Simplifying 467 yields:
% 14.46/3.92 | (194) ~ (e4 = e2)
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (453), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (374) all_0_6_6 = e4
% 14.46/3.92 |
% 14.46/3.92 | Combining equations (374,377) yields a new equation:
% 14.46/3.92 | (470) e4 = e2
% 14.46/3.92 |
% 14.46/3.92 | Simplifying 470 yields:
% 14.46/3.92 | (471) e4 = e2
% 14.46/3.92 |
% 14.46/3.92 | Equations (471) can reduce 194 to:
% 14.46/3.92 | (247) $false
% 14.46/3.92 |
% 14.46/3.92 |-The branch is then unsatisfiable
% 14.46/3.92 |-Branch two:
% 14.46/3.92 | (350) ~ (all_0_6_6 = e4)
% 14.46/3.92 | (365) all_0_18_18 = e4
% 14.46/3.92 |
% 14.46/3.92 | Equations (365) can reduce 222 to:
% 14.46/3.92 | (210) ~ (e4 = e1)
% 14.46/3.92 |
% 14.46/3.92 +-Applying beta-rule and splitting (3), into two cases.
% 14.46/3.92 |-Branch one:
% 14.46/3.92 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 14.46/3.93 |
% 14.46/3.93 +-Applying beta-rule and splitting (316), into two cases.
% 14.46/3.93 |-Branch one:
% 14.46/3.93 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 14.46/3.93 |
% 14.46/3.93 +-Applying beta-rule and splitting (317), into two cases.
% 14.46/3.93 |-Branch one:
% 14.46/3.93 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 14.46/3.93 |
% 14.46/3.93 +-Applying beta-rule and splitting (318), into two cases.
% 14.46/3.93 |-Branch one:
% 14.46/3.93 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 14.46/3.93 |
% 14.46/3.93 | Applying alpha-rule on (319) yields:
% 14.46/3.93 | (320) ~ (all_0_8_8 = e2)
% 14.46/3.93 | (321) ~ (all_0_5_5 = e2)
% 14.46/3.93 | (322) ~ (all_0_11_11 = e2)
% 14.46/3.93 | (323) ~ (all_0_12_12 = e2)
% 14.46/3.93 | (324) ~ (all_0_20_20 = e2)
% 14.46/3.93 | (325) ~ (unit = e2)
% 14.46/3.93 | (326) ~ (all_0_14_14 = e2)
% 14.46/3.93 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 14.46/3.93 | (328) ~ (all_0_17_17 = e2)
% 14.46/3.93 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 14.46/3.93 | (330) all_0_1_1 = e4
% 14.46/3.93 |
% 14.46/3.93 | Combining equations (330,213) yields a new equation:
% 14.46/3.93 | (331) e4 = e1
% 14.46/3.93 |
% 14.46/3.93 | Simplifying 331 yields:
% 14.46/3.93 | (332) e4 = e1
% 14.46/3.93 |
% 14.46/3.93 | Equations (332) can reduce 210 to:
% 14.46/3.93 | (247) $false
% 14.46/3.93 |
% 14.46/3.93 |-The branch is then unsatisfiable
% 14.46/3.93 |-Branch two:
% 14.46/3.93 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 14.46/3.93 |
% 14.46/3.93 | Applying alpha-rule on (334) yields:
% 14.46/3.93 | (301) ~ (all_0_13_13 = e3)
% 14.46/3.93 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 14.46/3.93 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 14.46/3.93 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 14.46/3.93 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 14.46/3.93 | (340) ~ (all_0_15_15 = e3)
% 14.46/3.93 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 14.46/3.93 | (303) all_0_10_10 = e2
% 14.46/3.93 | (343) ~ (unit = e3)
% 14.46/3.93 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 14.46/3.93 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 14.46/3.93 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 14.46/3.93 |
% 14.46/3.93 | Equations (303) can reduce 294 to:
% 14.46/3.93 | (247) $false
% 14.46/3.93 |
% 14.46/3.93 |-The branch is then unsatisfiable
% 14.46/3.93 |-Branch two:
% 14.46/3.93 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 14.46/3.93 |
% 14.46/3.93 | Applying alpha-rule on (348) yields:
% 14.46/3.93 | (349) ~ (unit = e4)
% 14.46/3.93 | (350) ~ (all_0_6_6 = e4)
% 14.46/3.93 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 14.46/3.93 | (352) ~ (all_0_18_18 = e4)
% 14.46/3.93 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 14.46/3.93 | (354) ~ (all_0_0_0 = e4)
% 14.46/3.93 | (355) ~ (all_0_10_10 = e4)
% 14.46/3.93 | (356) ~ (all_0_3_3 = e4)
% 14.46/3.93 | (224) all_0_13_13 = e1
% 14.46/3.93 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 14.46/3.93 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 14.46/3.93 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 14.46/3.93 |
% 14.46/3.93 | Equations (365) can reduce 352 to:
% 14.46/3.93 | (247) $false
% 14.46/3.93 |
% 14.46/3.93 |-The branch is then unsatisfiable
% 14.46/3.93 |-Branch two:
% 14.46/3.93 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 14.46/3.93 |
% 14.46/3.93 | Applying alpha-rule on (379) yields:
% 14.46/3.93 | (380) all_0_15_15 = e2
% 14.46/3.93 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 14.46/3.93 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 14.46/3.93 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 14.46/3.93 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 14.46/3.93 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 14.46/3.93 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 14.46/3.93 | (387) ~ (unit = e0)
% 14.46/3.93 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 14.46/3.93 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 14.46/3.93 | (390) ~ (all_0_10_10 = e0)
% 14.46/3.93 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 14.46/3.93 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 14.46/3.93 |
% 14.46/3.93 +-Applying beta-rule and splitting (8), into two cases.
% 14.46/3.93 |-Branch one:
% 14.46/3.93 | (536) all_0_4_4 = e0
% 14.46/3.93 |
% 14.46/3.93 | Equations (536) can reduce 6 to:
% 14.46/3.93 | (537) ~ (all_0_9_9 = e0)
% 14.46/3.93 |
% 14.46/3.93 | Simplifying 537 yields:
% 14.46/3.93 | (538) ~ (all_0_9_9 = e0)
% 14.46/3.93 |
% 14.46/3.93 | Equations (536) can reduce 187 to:
% 14.46/3.93 | (539) ~ (e2 = e0)
% 14.46/3.93 |
% 14.46/3.93 | Simplifying 539 yields:
% 14.46/3.93 | (47) ~ (e2 = e0)
% 14.46/3.93 |
% 14.46/3.93 | Equations (536) can reduce 225 to:
% 14.46/3.93 | (541) ~ (e1 = e0)
% 14.46/3.93 |
% 14.46/3.93 | Simplifying 541 yields:
% 14.46/3.93 | (128) ~ (e1 = e0)
% 14.46/3.93 |
% 14.46/3.93 +-Applying beta-rule and splitting (203), into two cases.
% 14.46/3.93 |-Branch one:
% 14.46/3.93 | (543) all_0_9_9 = e0
% 14.46/3.93 |
% 14.46/3.93 | Equations (543) can reduce 538 to:
% 14.46/3.93 | (247) $false
% 14.46/3.93 |
% 14.46/3.93 |-The branch is then unsatisfiable
% 14.46/3.93 |-Branch two:
% 14.46/3.94 | (538) ~ (all_0_9_9 = e0)
% 14.46/3.94 | (546) all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (546), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (547) all_0_10_10 = e0
% 14.46/3.94 |
% 14.46/3.94 | Equations (547) can reduce 390 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (390) ~ (all_0_10_10 = e0)
% 14.46/3.94 | (550) all_0_11_11 = e0 | all_0_12_12 = e0
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (550), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (551) all_0_11_11 = e0
% 14.46/3.94 |
% 14.46/3.94 | Combining equations (551,307) yields a new equation:
% 14.46/3.94 | (552) e2 = e0
% 14.46/3.94 |
% 14.46/3.94 | Equations (552) can reduce 47 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (554) ~ (all_0_11_11 = e0)
% 14.46/3.94 | (555) all_0_12_12 = e0
% 14.46/3.94 |
% 14.46/3.94 | Combining equations (555,282) yields a new equation:
% 14.46/3.94 | (246) e1 = e0
% 14.46/3.94 |
% 14.46/3.94 | Equations (246) can reduce 128 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (558) ~ (all_0_4_4 = e0)
% 14.46/3.94 | (559) all_0_5_5 = e0 | all_0_7_7 = e0 | all_0_8_8 = e0
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (13), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (536) all_0_4_4 = e0
% 14.46/3.94 |
% 14.46/3.94 | Equations (536) can reduce 558 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (558) ~ (all_0_4_4 = e0)
% 14.46/3.94 | (563) all_0_9_9 = e0 | all_0_16_16 = e0
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (148), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (564) all_0_4_4 = e1
% 14.46/3.94 |
% 14.46/3.94 | Equations (564) can reduce 225 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (225) ~ (all_0_4_4 = e1)
% 14.46/3.94 | (567) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e0
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (567), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (536) all_0_4_4 = e0
% 14.46/3.94 |
% 14.46/3.94 | Equations (536) can reduce 558 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (558) ~ (all_0_4_4 = e0)
% 14.46/3.94 | (571) all_0_4_4 = e4 | all_0_4_4 = e3
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (571), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (572) all_0_4_4 = e3
% 14.46/3.94 |
% 14.46/3.94 | Equations (572) can reduce 436 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (436) ~ (all_0_4_4 = e3)
% 14.46/3.94 | (575) all_0_4_4 = e4
% 14.46/3.94 |
% 14.46/3.94 | Equations (575) can reduce 6 to:
% 14.46/3.94 | (576) ~ (all_0_9_9 = e4)
% 14.46/3.94 |
% 14.46/3.94 | Simplifying 576 yields:
% 14.46/3.94 | (577) ~ (all_0_9_9 = e4)
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (292), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (543) all_0_9_9 = e0
% 14.46/3.94 |
% 14.46/3.94 | Equations (543) can reduce 176 to:
% 14.46/3.94 | (579) ~ (all_0_10_10 = e0)
% 14.46/3.94 |
% 14.46/3.94 | Simplifying 579 yields:
% 14.46/3.94 | (390) ~ (all_0_10_10 = e0)
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (30), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (581) all_0_10_10 = e1
% 14.46/3.94 |
% 14.46/3.94 | Equations (581) can reduce 286 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (286) ~ (all_0_10_10 = e1)
% 14.46/3.94 | (584) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e0
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (584), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (547) all_0_10_10 = e0
% 14.46/3.94 |
% 14.46/3.94 | Equations (547) can reduce 390 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (390) ~ (all_0_10_10 = e0)
% 14.46/3.94 | (588) all_0_10_10 = e4 | all_0_10_10 = e2
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (588), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (589) all_0_10_10 = e4
% 14.46/3.94 |
% 14.46/3.94 | Equations (589) can reduce 286 to:
% 14.46/3.94 | (210) ~ (e4 = e1)
% 14.46/3.94 |
% 14.46/3.94 +-Applying beta-rule and splitting (385), into two cases.
% 14.46/3.94 |-Branch one:
% 14.46/3.94 | (538) ~ (all_0_9_9 = e0)
% 14.46/3.94 |
% 14.46/3.94 | Equations (543) can reduce 538 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (543) all_0_9_9 = e0
% 14.46/3.94 | (594) all_0_12_12 = e4
% 14.46/3.94 |
% 14.46/3.94 | Combining equations (594,282) yields a new equation:
% 14.46/3.94 | (331) e4 = e1
% 14.46/3.94 |
% 14.46/3.94 | Simplifying 331 yields:
% 14.46/3.94 | (332) e4 = e1
% 14.46/3.94 |
% 14.46/3.94 | Equations (332) can reduce 210 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (355) ~ (all_0_10_10 = e4)
% 14.46/3.94 | (303) all_0_10_10 = e2
% 14.46/3.94 |
% 14.46/3.94 | Equations (303) can reduce 294 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (538) ~ (all_0_9_9 = e0)
% 14.46/3.94 | (602) all_0_9_9 = e4
% 14.46/3.94 |
% 14.46/3.94 | Equations (602) can reduce 577 to:
% 14.46/3.94 | (247) $false
% 14.46/3.94 |
% 14.46/3.94 |-The branch is then unsatisfiable
% 14.46/3.94 |-Branch two:
% 14.46/3.94 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 14.46/3.94 |
% 14.46/3.94 | Applying alpha-rule on (395) yields:
% 14.46/3.94 | (396) ~ (all_0_1_1 = e1)
% 14.46/3.94 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 14.46/3.94 | (227) ~ (all_0_14_14 = e1)
% 14.46/3.94 | (225) ~ (all_0_4_4 = e1)
% 14.46/3.94 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 14.46/3.94 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 14.46/3.94 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 14.46/3.94 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 14.46/3.94 | (231) ~ (all_0_16_16 = e1)
% 14.46/3.94 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 14.46/3.94 | (286) ~ (all_0_10_10 = e1)
% 14.46/3.94 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 14.46/3.94 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 14.46/3.95 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 14.46/3.95 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 14.46/3.95 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 14.46/3.95 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 14.46/3.95 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 14.46/3.95 | (285) ~ (all_0_9_9 = e1)
% 14.46/3.95 | (229) ~ (all_0_15_15 = e1)
% 14.46/3.95 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 14.46/3.95 |
% 14.46/3.95 | Equations (213) can reduce 396 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (322) ~ (all_0_11_11 = e2)
% 14.46/3.95 | (419) all_0_12_12 = e2
% 14.46/3.95 |
% 14.46/3.95 | Combining equations (419,282) yields a new equation:
% 14.46/3.95 | (629) e2 = e1
% 14.46/3.95 |
% 14.46/3.95 | Simplifying 629 yields:
% 14.46/3.95 | (420) e2 = e1
% 14.46/3.95 |
% 14.46/3.95 | Equations (420) can reduce 138 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (328) ~ (all_0_17_17 = e2)
% 14.46/3.95 | (633) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (99), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (634) all_0_7_7 = e2
% 14.46/3.95 |
% 14.46/3.95 | Equations (634) can reduce 444 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (444) ~ (all_0_7_7 = e2)
% 14.46/3.95 | (637) all_0_11_11 = e2 | all_0_19_19 = e2
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (62), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (638) all_0_5_5 = e2
% 14.46/3.95 |
% 14.46/3.95 | Combining equations (638,233) yields a new equation:
% 14.46/3.95 | (629) e2 = e1
% 14.46/3.95 |
% 14.46/3.95 | Simplifying 629 yields:
% 14.46/3.95 | (420) e2 = e1
% 14.46/3.95 |
% 14.46/3.95 | Equations (420) can reduce 138 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (321) ~ (all_0_5_5 = e2)
% 14.46/3.95 | (643) all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (643), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (303) all_0_10_10 = e2
% 14.46/3.95 |
% 14.46/3.95 | Equations (303) can reduce 202 to:
% 14.46/3.95 | (645) ~ (all_0_11_11 = e2)
% 14.46/3.95 |
% 14.46/3.95 | Simplifying 645 yields:
% 14.46/3.95 | (322) ~ (all_0_11_11 = e2)
% 14.46/3.95 |
% 14.46/3.95 | Equations (303) can reduce 286 to:
% 14.46/3.95 | (138) ~ (e2 = e1)
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (637), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (307) all_0_11_11 = e2
% 14.46/3.95 |
% 14.46/3.95 | Equations (307) can reduce 322 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (322) ~ (all_0_11_11 = e2)
% 14.46/3.95 | (651) all_0_19_19 = e2
% 14.46/3.95 |
% 14.46/3.95 | Combining equations (274,651) yields a new equation:
% 14.46/3.95 | (420) e2 = e1
% 14.46/3.95 |
% 14.46/3.95 | Equations (420) can reduce 138 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (294) ~ (all_0_10_10 = e2)
% 14.46/3.95 | (655) all_0_14_14 = e2 | all_0_17_17 = e2
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (655), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (293) all_0_14_14 = e2
% 14.46/3.95 |
% 14.46/3.95 | Combining equations (310,293) yields a new equation:
% 14.46/3.95 | (657) e3 = e2
% 14.46/3.95 |
% 14.46/3.95 | Simplifying 657 yields:
% 14.46/3.95 | (311) e3 = e2
% 14.46/3.95 |
% 14.46/3.95 | Equations (311) can reduce 191 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (326) ~ (all_0_14_14 = e2)
% 14.46/3.95 | (458) all_0_17_17 = e2
% 14.46/3.95 |
% 14.46/3.95 | Equations (458) can reduce 328 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (369) ~ (all_0_6_6 = e2)
% 14.46/3.95 | (368) all_0_18_18 = e2
% 14.46/3.95 |
% 14.46/3.95 | Equations (368) can reduce 56 to:
% 14.46/3.95 | (369) ~ (all_0_6_6 = e2)
% 14.46/3.95 |
% 14.46/3.95 | Equations (368) can reduce 121 to:
% 14.46/3.95 | (328) ~ (all_0_17_17 = e2)
% 14.46/3.95 |
% 14.46/3.95 | Equations (368) can reduce 145 to:
% 14.46/3.95 | (308) ~ (e3 = e2)
% 14.46/3.95 |
% 14.46/3.95 | Simplifying 308 yields:
% 14.46/3.95 | (191) ~ (e3 = e2)
% 14.46/3.95 |
% 14.46/3.95 | Equations (368) can reduce 222 to:
% 14.46/3.95 | (138) ~ (e2 = e1)
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (201), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (330) all_0_1_1 = e4
% 14.46/3.95 |
% 14.46/3.95 | Combining equations (330,213) yields a new equation:
% 14.46/3.95 | (331) e4 = e1
% 14.46/3.95 |
% 14.46/3.95 | Simplifying 331 yields:
% 14.46/3.95 | (332) e4 = e1
% 14.46/3.95 |
% 14.46/3.95 | Equations (332) can reduce 210 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (452) ~ (all_0_1_1 = e4)
% 14.46/3.95 | (453) all_0_6_6 = e4 | all_0_18_18 = e4
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (177), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (262) all_0_17_17 = e1
% 14.46/3.95 |
% 14.46/3.95 | Equations (262) can reduce 243 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (243) ~ (all_0_17_17 = e1)
% 14.46/3.95 | (679) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e0
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (679), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (680) all_0_17_17 = e0
% 14.46/3.95 |
% 14.46/3.95 | Equations (680) can reduce 252 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (252) ~ (all_0_17_17 = e0)
% 14.46/3.95 | (683) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (683), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (684) all_0_17_17 = e3
% 14.46/3.95 |
% 14.46/3.95 | Equations (684) can reduce 432 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (432) ~ (all_0_17_17 = e3)
% 14.46/3.95 | (687) all_0_17_17 = e4 | all_0_17_17 = e2
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (687), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (688) all_0_17_17 = e4
% 14.46/3.95 |
% 14.46/3.95 | Equations (688) can reduce 80 to:
% 14.46/3.95 | (354) ~ (all_0_0_0 = e4)
% 14.46/3.95 |
% 14.46/3.95 | Equations (688) can reduce 122 to:
% 14.46/3.95 | (355) ~ (all_0_10_10 = e4)
% 14.46/3.95 |
% 14.46/3.95 | Equations (688) can reduce 328 to:
% 14.46/3.95 | (194) ~ (e4 = e2)
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (38), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (692) all_0_0_0 = e1
% 14.46/3.95 |
% 14.46/3.95 | Equations (692) can reduce 214 to:
% 14.46/3.95 | (247) $false
% 14.46/3.95 |
% 14.46/3.95 |-The branch is then unsatisfiable
% 14.46/3.95 |-Branch two:
% 14.46/3.95 | (214) ~ (all_0_0_0 = e1)
% 14.46/3.95 | (695) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e0
% 14.46/3.95 |
% 14.46/3.95 +-Applying beta-rule and splitting (453), into two cases.
% 14.46/3.95 |-Branch one:
% 14.46/3.95 | (374) all_0_6_6 = e4
% 14.46/3.95 |
% 14.46/3.95 | Equations (374) can reduce 10 to:
% 14.46/3.95 | (697) ~ (all_0_4_4 = e4)
% 14.46/3.95 |
% 14.46/3.95 | Equations (374) can reduce 164 to:
% 14.46/3.95 | (698) ~ (all_0_7_7 = e4)
% 14.46/3.95 |
% 14.46/3.96 | Simplifying 698 yields:
% 14.46/3.96 | (209) ~ (all_0_7_7 = e4)
% 14.46/3.96 |
% 14.46/3.96 | Equations (374) can reduce 131 to:
% 14.46/3.96 | (700) ~ (all_0_8_8 = e4)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 700 yields:
% 14.46/3.96 | (701) ~ (all_0_8_8 = e4)
% 14.46/3.96 |
% 14.46/3.96 | Equations (374) can reduce 369 to:
% 14.46/3.96 | (194) ~ (e4 = e2)
% 14.46/3.96 |
% 14.46/3.96 | Equations (374) can reduce 220 to:
% 14.46/3.96 | (210) ~ (e4 = e1)
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (148), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (564) all_0_4_4 = e1
% 14.46/3.96 |
% 14.46/3.96 | Equations (564) can reduce 225 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (225) ~ (all_0_4_4 = e1)
% 14.46/3.96 | (567) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e0
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (567), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (536) all_0_4_4 = e0
% 14.46/3.96 |
% 14.46/3.96 | Equations (536) can reduce 41 to:
% 14.46/3.96 | (709) ~ (all_0_7_7 = e0)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 709 yields:
% 14.46/3.96 | (710) ~ (all_0_7_7 = e0)
% 14.46/3.96 |
% 14.46/3.96 | Equations (536) can reduce 129 to:
% 14.46/3.96 | (711) ~ (all_0_8_8 = e0)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 711 yields:
% 14.46/3.96 | (712) ~ (all_0_8_8 = e0)
% 14.46/3.96 |
% 14.46/3.96 | Equations (536) can reduce 436 to:
% 14.46/3.96 | (713) ~ (e3 = e0)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 713 yields:
% 14.46/3.96 | (64) ~ (e3 = e0)
% 14.46/3.96 |
% 14.46/3.96 | Equations (536) can reduce 225 to:
% 14.46/3.96 | (541) ~ (e1 = e0)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 541 yields:
% 14.46/3.96 | (128) ~ (e1 = e0)
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (95), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (638) all_0_5_5 = e2
% 14.46/3.96 |
% 14.46/3.96 | Combining equations (638,233) yields a new equation:
% 14.46/3.96 | (629) e2 = e1
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 629 yields:
% 14.46/3.96 | (420) e2 = e1
% 14.46/3.96 |
% 14.46/3.96 | Equations (420) can reduce 138 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (321) ~ (all_0_5_5 = e2)
% 14.46/3.96 | (722) all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (722), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (377) all_0_6_6 = e2
% 14.46/3.96 |
% 14.46/3.96 | Combining equations (377,374) yields a new equation:
% 14.46/3.96 | (471) e4 = e2
% 14.46/3.96 |
% 14.46/3.96 | Equations (471) can reduce 194 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (369) ~ (all_0_6_6 = e2)
% 14.46/3.96 | (727) all_0_7_7 = e2 | all_0_8_8 = e2
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (727), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (634) all_0_7_7 = e2
% 14.46/3.96 |
% 14.46/3.96 | Equations (634) can reduce 85 to:
% 14.46/3.96 | (75) ~ (all_0_2_2 = e2)
% 14.46/3.96 |
% 14.46/3.96 | Equations (634) can reduce 168 to:
% 14.46/3.96 | (730) ~ (all_0_8_8 = e2)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 730 yields:
% 14.46/3.96 | (320) ~ (all_0_8_8 = e2)
% 14.46/3.96 |
% 14.46/3.96 | Equations (634) can reduce 209 to:
% 14.46/3.96 | (467) ~ (e4 = e2)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 467 yields:
% 14.46/3.96 | (194) ~ (e4 = e2)
% 14.46/3.96 |
% 14.46/3.96 | Equations (634) can reduce 276 to:
% 14.46/3.96 | (138) ~ (e2 = e1)
% 14.46/3.96 |
% 14.46/3.96 | Equations (634) can reduce 710 to:
% 14.46/3.96 | (47) ~ (e2 = e0)
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (62), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (638) all_0_5_5 = e2
% 14.46/3.96 |
% 14.46/3.96 | Combining equations (638,233) yields a new equation:
% 14.46/3.96 | (629) e2 = e1
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 629 yields:
% 14.46/3.96 | (420) e2 = e1
% 14.46/3.96 |
% 14.46/3.96 | Equations (420) can reduce 138 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (321) ~ (all_0_5_5 = e2)
% 14.46/3.96 | (643) all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (643), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (303) all_0_10_10 = e2
% 14.46/3.96 |
% 14.46/3.96 | Equations (303) can reduce 355 to:
% 14.46/3.96 | (467) ~ (e4 = e2)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 467 yields:
% 14.46/3.96 | (194) ~ (e4 = e2)
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (169), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (266) all_0_8_8 = e1
% 14.46/3.96 |
% 14.46/3.96 | Equations (266) can reduce 239 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (239) ~ (all_0_8_8 = e1)
% 14.46/3.96 | (748) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (748), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (749) all_0_8_8 = e0
% 14.46/3.96 |
% 14.46/3.96 | Equations (749) can reduce 712 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (712) ~ (all_0_8_8 = e0)
% 14.46/3.96 | (752) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (170), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (602) all_0_9_9 = e4
% 14.46/3.96 |
% 14.46/3.96 | Equations (602) can reduce 285 to:
% 14.46/3.96 | (210) ~ (e4 = e1)
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (179), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (755) all_0_2_2 = e3
% 14.46/3.96 |
% 14.46/3.96 | Equations (755) can reduce 48 to:
% 14.46/3.96 | (756) ~ (all_0_11_11 = e3)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 756 yields:
% 14.46/3.96 | (66) ~ (all_0_11_11 = e3)
% 14.46/3.96 |
% 14.46/3.96 | Equations (755) can reduce 75 to:
% 14.46/3.96 | (191) ~ (e3 = e2)
% 14.46/3.96 |
% 14.46/3.96 | Equations (755) can reduce 216 to:
% 14.46/3.96 | (132) ~ (e3 = e1)
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (185), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (572) all_0_4_4 = e3
% 14.46/3.96 |
% 14.46/3.96 | Combining equations (536,572) yields a new equation:
% 14.46/3.96 | (761) e3 = e0
% 14.46/3.96 |
% 14.46/3.96 | Equations (761) can reduce 64 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (436) ~ (all_0_4_4 = e3)
% 14.46/3.96 | (764) all_0_5_5 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 14.46/3.96 |
% 14.46/3.96 | Equations (536) can reduce 436 to:
% 14.46/3.96 | (713) ~ (e3 = e0)
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 713 yields:
% 14.46/3.96 | (64) ~ (e3 = e0)
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (162), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (767) all_0_2_2 = e0
% 14.46/3.96 |
% 14.46/3.96 | Combining equations (767,755) yields a new equation:
% 14.46/3.96 | (761) e3 = e0
% 14.46/3.96 |
% 14.46/3.96 | Equations (761) can reduce 64 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (770) ~ (all_0_2_2 = e0)
% 14.46/3.96 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (764), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (772) all_0_5_5 = e3
% 14.46/3.96 |
% 14.46/3.96 | Combining equations (772,233) yields a new equation:
% 14.46/3.96 | (773) e3 = e1
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 773 yields:
% 14.46/3.96 | (299) e3 = e1
% 14.46/3.96 |
% 14.46/3.96 | Equations (299) can reduce 132 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (776) ~ (all_0_5_5 = e3)
% 14.46/3.96 | (777) all_0_7_7 = e3 | all_0_8_8 = e3
% 14.46/3.96 |
% 14.46/3.96 +-Applying beta-rule and splitting (771), into two cases.
% 14.46/3.96 |-Branch one:
% 14.46/3.96 | (778) all_0_7_7 = e0
% 14.46/3.96 |
% 14.46/3.96 | Combining equations (634,778) yields a new equation:
% 14.46/3.96 | (779) e2 = e0
% 14.46/3.96 |
% 14.46/3.96 | Simplifying 779 yields:
% 14.46/3.96 | (552) e2 = e0
% 14.46/3.96 |
% 14.46/3.96 | Equations (552) can reduce 47 to:
% 14.46/3.96 | (247) $false
% 14.46/3.96 |
% 14.46/3.96 |-The branch is then unsatisfiable
% 14.46/3.96 |-Branch two:
% 14.46/3.96 | (710) ~ (all_0_7_7 = e0)
% 14.46/3.97 | (783) all_0_11_11 = e0 | all_0_19_19 = e0
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (777), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (784) all_0_7_7 = e3
% 14.46/3.97 |
% 14.46/3.97 | Combining equations (634,784) yields a new equation:
% 14.46/3.97 | (311) e3 = e2
% 14.46/3.97 |
% 14.46/3.97 | Equations (311) can reduce 191 to:
% 14.46/3.97 | (247) $false
% 14.46/3.97 |
% 14.46/3.97 |-The branch is then unsatisfiable
% 14.46/3.97 |-Branch two:
% 14.46/3.97 | (787) ~ (all_0_7_7 = e3)
% 14.46/3.97 | (788) all_0_8_8 = e3
% 14.46/3.97 |
% 14.46/3.97 | Equations (788) can reduce 20 to:
% 14.46/3.97 | (789) ~ (all_0_3_3 = e3)
% 14.46/3.97 |
% 14.46/3.97 | Equations (788) can reduce 701 to:
% 14.46/3.97 | (790) ~ (e4 = e3)
% 14.46/3.97 |
% 14.46/3.97 | Simplifying 790 yields:
% 14.46/3.97 | (24) ~ (e4 = e3)
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (783), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (551) all_0_11_11 = e0
% 14.46/3.97 |
% 14.46/3.97 | Equations (551) can reduce 66 to:
% 14.46/3.97 | (713) ~ (e3 = e0)
% 14.46/3.97 |
% 14.46/3.97 | Simplifying 713 yields:
% 14.46/3.97 | (64) ~ (e3 = e0)
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (52), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (795) all_0_0_0 = e0
% 14.46/3.97 |
% 14.46/3.97 | Equations (795) can reduce 354 to:
% 14.46/3.97 | (796) ~ (e4 = e0)
% 14.46/3.97 |
% 14.46/3.97 | Simplifying 796 yields:
% 14.46/3.97 | (7) ~ (e4 = e0)
% 14.46/3.97 |
% 14.46/3.97 | Equations (795) can reduce 214 to:
% 14.46/3.97 | (541) ~ (e1 = e0)
% 14.46/3.97 |
% 14.46/3.97 | Simplifying 541 yields:
% 14.46/3.97 | (128) ~ (e1 = e0)
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (211), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (800) all_0_3_3 = e4
% 14.46/3.97 |
% 14.46/3.97 | Equations (800) can reduce 789 to:
% 14.46/3.97 | (24) ~ (e4 = e3)
% 14.46/3.97 |
% 14.46/3.97 | Equations (800) can reduce 218 to:
% 14.46/3.97 | (210) ~ (e4 = e1)
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (3), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (316), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (317), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (318), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 14.46/3.97 |
% 14.46/3.97 | Applying alpha-rule on (319) yields:
% 14.46/3.97 | (320) ~ (all_0_8_8 = e2)
% 14.46/3.97 | (321) ~ (all_0_5_5 = e2)
% 14.46/3.97 | (322) ~ (all_0_11_11 = e2)
% 14.46/3.97 | (323) ~ (all_0_12_12 = e2)
% 14.46/3.97 | (324) ~ (all_0_20_20 = e2)
% 14.46/3.97 | (325) ~ (unit = e2)
% 14.46/3.97 | (326) ~ (all_0_14_14 = e2)
% 14.46/3.97 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 14.46/3.97 | (328) ~ (all_0_17_17 = e2)
% 14.46/3.97 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 14.46/3.97 | (330) all_0_1_1 = e4
% 14.46/3.97 |
% 14.46/3.97 | Combining equations (330,213) yields a new equation:
% 14.46/3.97 | (331) e4 = e1
% 14.46/3.97 |
% 14.46/3.97 | Simplifying 331 yields:
% 14.46/3.97 | (332) e4 = e1
% 14.46/3.97 |
% 14.46/3.97 | Equations (332) can reduce 210 to:
% 14.46/3.97 | (247) $false
% 14.46/3.97 |
% 14.46/3.97 |-The branch is then unsatisfiable
% 14.46/3.97 |-Branch two:
% 14.46/3.97 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 14.46/3.97 |
% 14.46/3.97 | Applying alpha-rule on (334) yields:
% 14.46/3.97 | (301) ~ (all_0_13_13 = e3)
% 14.46/3.97 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 14.46/3.97 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 14.46/3.97 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 14.46/3.97 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 14.46/3.97 | (340) ~ (all_0_15_15 = e3)
% 14.46/3.97 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 14.46/3.97 | (303) all_0_10_10 = e2
% 14.46/3.97 | (343) ~ (unit = e3)
% 14.46/3.97 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 14.46/3.97 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 14.46/3.97 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (346), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (834) ~ (all_0_8_8 = e3)
% 14.46/3.97 |
% 14.46/3.97 | Equations (788) can reduce 834 to:
% 14.46/3.97 | (247) $false
% 14.46/3.97 |
% 14.46/3.97 |-The branch is then unsatisfiable
% 14.46/3.97 |-Branch two:
% 14.46/3.97 | (788) all_0_8_8 = e3
% 14.46/3.97 | (244) all_0_5_5 = e0
% 14.46/3.97 |
% 14.46/3.97 | Combining equations (233,244) yields a new equation:
% 14.46/3.97 | (245) e1 = e0
% 14.46/3.97 |
% 14.46/3.97 | Simplifying 245 yields:
% 14.46/3.97 | (246) e1 = e0
% 14.46/3.97 |
% 14.46/3.97 | Equations (246) can reduce 128 to:
% 14.46/3.97 | (247) $false
% 14.46/3.97 |
% 14.46/3.97 |-The branch is then unsatisfiable
% 14.46/3.97 |-Branch two:
% 14.46/3.97 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 14.46/3.97 |
% 14.46/3.97 | Applying alpha-rule on (348) yields:
% 14.46/3.97 | (349) ~ (unit = e4)
% 14.46/3.97 | (350) ~ (all_0_6_6 = e4)
% 14.46/3.97 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 14.46/3.97 | (352) ~ (all_0_18_18 = e4)
% 14.46/3.97 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 14.46/3.97 | (354) ~ (all_0_0_0 = e4)
% 14.46/3.97 | (355) ~ (all_0_10_10 = e4)
% 14.46/3.97 | (356) ~ (all_0_3_3 = e4)
% 14.46/3.97 | (224) all_0_13_13 = e1
% 14.46/3.97 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 14.46/3.97 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 14.46/3.97 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 14.46/3.97 |
% 14.46/3.97 | Equations (374) can reduce 350 to:
% 14.46/3.97 | (247) $false
% 14.46/3.97 |
% 14.46/3.97 |-The branch is then unsatisfiable
% 14.46/3.97 |-Branch two:
% 14.46/3.97 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 14.46/3.97 |
% 14.46/3.97 | Applying alpha-rule on (379) yields:
% 14.46/3.97 | (380) all_0_15_15 = e2
% 14.46/3.97 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 14.46/3.97 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 14.46/3.97 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 14.46/3.97 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 14.46/3.97 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 14.46/3.97 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 14.46/3.97 | (387) ~ (unit = e0)
% 14.46/3.97 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 14.46/3.97 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 14.46/3.97 | (390) ~ (all_0_10_10 = e0)
% 14.46/3.97 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 14.46/3.97 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 14.46/3.97 |
% 14.46/3.97 +-Applying beta-rule and splitting (382), into two cases.
% 14.46/3.97 |-Branch one:
% 14.46/3.97 | (558) ~ (all_0_4_4 = e0)
% 14.46/3.97 |
% 14.46/3.97 | Equations (536) can reduce 558 to:
% 14.46/3.97 | (247) $false
% 14.46/3.97 |
% 14.46/3.97 |-The branch is then unsatisfiable
% 14.46/3.97 |-Branch two:
% 14.46/3.97 | (536) all_0_4_4 = e0
% 14.46/3.98 | (872) all_0_8_8 = e4
% 14.46/3.98 |
% 14.46/3.98 | Combining equations (788,872) yields a new equation:
% 14.46/3.98 | (873) e4 = e3
% 14.46/3.98 |
% 14.46/3.98 | Equations (873) can reduce 24 to:
% 14.46/3.98 | (247) $false
% 14.46/3.98 |
% 14.46/3.98 |-The branch is then unsatisfiable
% 14.46/3.98 |-Branch two:
% 14.46/3.98 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 14.46/3.98 |
% 14.46/3.98 | Applying alpha-rule on (395) yields:
% 14.46/3.98 | (396) ~ (all_0_1_1 = e1)
% 14.46/3.98 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 14.46/3.98 | (227) ~ (all_0_14_14 = e1)
% 14.46/3.98 | (225) ~ (all_0_4_4 = e1)
% 14.46/3.98 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 14.46/3.98 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 14.46/3.98 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 14.46/3.98 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 14.46/3.98 | (231) ~ (all_0_16_16 = e1)
% 14.46/3.98 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 14.46/3.98 | (286) ~ (all_0_10_10 = e1)
% 14.46/3.98 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 14.46/3.98 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 14.46/3.98 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 14.46/3.98 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 14.46/3.98 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 14.46/3.98 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 14.46/3.98 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 14.46/3.98 | (285) ~ (all_0_9_9 = e1)
% 14.46/3.98 | (229) ~ (all_0_15_15 = e1)
% 14.46/3.98 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 14.46/3.98 |
% 14.46/3.98 | Equations (213) can reduce 396 to:
% 14.46/3.98 | (247) $false
% 14.46/3.98 |
% 14.46/3.98 |-The branch is then unsatisfiable
% 14.46/3.98 |-Branch two:
% 14.46/3.98 | (356) ~ (all_0_3_3 = e4)
% 14.46/3.98 | (899) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 14.46/3.98 |
% 14.46/3.98 +-Applying beta-rule and splitting (899), into two cases.
% 14.46/3.98 |-Branch one:
% 14.46/3.98 | (872) all_0_8_8 = e4
% 14.46/3.98 |
% 14.46/3.98 | Combining equations (872,788) yields a new equation:
% 14.46/3.98 | (901) e4 = e3
% 14.46/3.98 |
% 14.46/3.98 | Simplifying 901 yields:
% 14.46/3.98 | (873) e4 = e3
% 14.46/3.98 |
% 14.46/3.98 | Equations (873) can reduce 24 to:
% 14.46/3.98 | (247) $false
% 14.46/3.98 |
% 14.46/3.98 |-The branch is then unsatisfiable
% 14.46/3.98 |-Branch two:
% 14.46/3.98 | (701) ~ (all_0_8_8 = e4)
% 14.46/3.98 | (905) all_0_12_12 = e4 | all_0_20_20 = e4
% 14.46/3.98 |
% 14.46/3.98 +-Applying beta-rule and splitting (905), into two cases.
% 14.46/3.98 |-Branch one:
% 14.46/3.98 | (594) all_0_12_12 = e4
% 14.46/3.98 |
% 14.46/3.98 | Combining equations (282,594) yields a new equation:
% 14.46/3.98 | (332) e4 = e1
% 14.46/3.98 |
% 14.46/3.98 | Equations (332) can reduce 210 to:
% 14.46/3.98 | (247) $false
% 14.46/3.98 |
% 14.46/3.98 |-The branch is then unsatisfiable
% 14.46/3.98 |-Branch two:
% 14.46/3.98 | (909) ~ (all_0_12_12 = e4)
% 14.46/3.98 | (910) all_0_20_20 = e4
% 14.46/3.98 |
% 14.46/3.98 | Combining equations (249,910) yields a new equation:
% 14.46/3.98 | (911) e4 = e0
% 14.46/3.98 |
% 14.86/3.98 | Equations (911) can reduce 7 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (913) ~ (all_0_0_0 = e0)
% 14.86/3.98 | (914) all_0_2_2 = e0 | all_0_3_3 = e0
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (914), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (767) all_0_2_2 = e0
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (767,755) yields a new equation:
% 14.86/3.98 | (761) e3 = e0
% 14.86/3.98 |
% 14.86/3.98 | Equations (761) can reduce 64 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (770) ~ (all_0_2_2 = e0)
% 14.86/3.98 | (919) all_0_3_3 = e0
% 14.86/3.98 |
% 14.86/3.98 | Equations (919) can reduce 250 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (554) ~ (all_0_11_11 = e0)
% 14.86/3.98 | (922) all_0_19_19 = e0
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (922,274) yields a new equation:
% 14.86/3.98 | (246) e1 = e0
% 14.86/3.98 |
% 14.86/3.98 | Equations (246) can reduce 128 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (925) ~ (all_0_2_2 = e3)
% 14.86/3.98 | (926) all_0_7_7 = e3 | all_0_19_19 = e3
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (26), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (927) all_0_0_0 = e4
% 14.86/3.98 |
% 14.86/3.98 | Equations (927) can reduce 354 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (354) ~ (all_0_0_0 = e4)
% 14.86/3.98 | (930) all_0_1_1 = e4 | all_0_3_3 = e4
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (930), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (330) all_0_1_1 = e4
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (330,213) yields a new equation:
% 14.86/3.98 | (331) e4 = e1
% 14.86/3.98 |
% 14.86/3.98 | Simplifying 331 yields:
% 14.86/3.98 | (332) e4 = e1
% 14.86/3.98 |
% 14.86/3.98 | Equations (332) can reduce 210 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (452) ~ (all_0_1_1 = e4)
% 14.86/3.98 | (800) all_0_3_3 = e4
% 14.86/3.98 |
% 14.86/3.98 | Equations (800) can reduce 20 to:
% 14.86/3.98 | (700) ~ (all_0_8_8 = e4)
% 14.86/3.98 |
% 14.86/3.98 | Simplifying 700 yields:
% 14.86/3.98 | (701) ~ (all_0_8_8 = e4)
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (752), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (788) all_0_8_8 = e3
% 14.86/3.98 |
% 14.86/3.98 | Equations (788) can reduce 320 to:
% 14.86/3.98 | (191) ~ (e3 = e2)
% 14.86/3.98 |
% 14.86/3.98 | Equations (788) can reduce 239 to:
% 14.86/3.98 | (132) ~ (e3 = e1)
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (926), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (784) all_0_7_7 = e3
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (634,784) yields a new equation:
% 14.86/3.98 | (311) e3 = e2
% 14.86/3.98 |
% 14.86/3.98 | Equations (311) can reduce 191 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (787) ~ (all_0_7_7 = e3)
% 14.86/3.98 | (946) all_0_19_19 = e3
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (274,946) yields a new equation:
% 14.86/3.98 | (299) e3 = e1
% 14.86/3.98 |
% 14.86/3.98 | Equations (299) can reduce 132 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (834) ~ (all_0_8_8 = e3)
% 14.86/3.98 | (950) all_0_8_8 = e4 | all_0_8_8 = e2
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (950), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (872) all_0_8_8 = e4
% 14.86/3.98 |
% 14.86/3.98 | Equations (872) can reduce 701 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (701) ~ (all_0_8_8 = e4)
% 14.86/3.98 | (954) all_0_8_8 = e2
% 14.86/3.98 |
% 14.86/3.98 | Equations (954) can reduce 320 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (577) ~ (all_0_9_9 = e4)
% 14.86/3.98 | (957) all_0_10_10 = e4 | all_0_12_12 = e4
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (957), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (589) all_0_10_10 = e4
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (589,303) yields a new equation:
% 14.86/3.98 | (470) e4 = e2
% 14.86/3.98 |
% 14.86/3.98 | Simplifying 470 yields:
% 14.86/3.98 | (471) e4 = e2
% 14.86/3.98 |
% 14.86/3.98 | Equations (471) can reduce 194 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (355) ~ (all_0_10_10 = e4)
% 14.86/3.98 | (594) all_0_12_12 = e4
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (282,594) yields a new equation:
% 14.86/3.98 | (332) e4 = e1
% 14.86/3.98 |
% 14.86/3.98 | Equations (332) can reduce 210 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (294) ~ (all_0_10_10 = e2)
% 14.86/3.98 | (655) all_0_14_14 = e2 | all_0_17_17 = e2
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (655), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (293) all_0_14_14 = e2
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (310,293) yields a new equation:
% 14.86/3.98 | (657) e3 = e2
% 14.86/3.98 |
% 14.86/3.98 | Simplifying 657 yields:
% 14.86/3.98 | (311) e3 = e2
% 14.86/3.98 |
% 14.86/3.98 | Equations (311) can reduce 191 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (326) ~ (all_0_14_14 = e2)
% 14.86/3.98 | (458) all_0_17_17 = e2
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (688,458) yields a new equation:
% 14.86/3.98 | (470) e4 = e2
% 14.86/3.98 |
% 14.86/3.98 | Simplifying 470 yields:
% 14.86/3.98 | (471) e4 = e2
% 14.86/3.98 |
% 14.86/3.98 | Equations (471) can reduce 194 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (444) ~ (all_0_7_7 = e2)
% 14.86/3.98 | (954) all_0_8_8 = e2
% 14.86/3.98 |
% 14.86/3.98 | Equations (954) can reduce 320 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (558) ~ (all_0_4_4 = e0)
% 14.86/3.98 | (571) all_0_4_4 = e4 | all_0_4_4 = e3
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (571), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (572) all_0_4_4 = e3
% 14.86/3.98 |
% 14.86/3.98 | Equations (572) can reduce 436 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (436) ~ (all_0_4_4 = e3)
% 14.86/3.98 | (575) all_0_4_4 = e4
% 14.86/3.98 |
% 14.86/3.98 | Equations (575) can reduce 697 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (350) ~ (all_0_6_6 = e4)
% 14.86/3.98 | (365) all_0_18_18 = e4
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (365,368) yields a new equation:
% 14.86/3.98 | (470) e4 = e2
% 14.86/3.98 |
% 14.86/3.98 | Simplifying 470 yields:
% 14.86/3.98 | (471) e4 = e2
% 14.86/3.98 |
% 14.86/3.98 | Equations (471) can reduce 194 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (992) ~ (all_0_17_17 = e4)
% 14.86/3.98 | (458) all_0_17_17 = e2
% 14.86/3.98 |
% 14.86/3.98 | Equations (458) can reduce 328 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (995) ~ (all_0_16_16 = e3)
% 14.86/3.98 | (996) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (996), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (684) all_0_17_17 = e3
% 14.86/3.98 |
% 14.86/3.98 | Equations (684) can reduce 432 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (432) ~ (all_0_17_17 = e3)
% 14.86/3.98 | (1000) all_0_19_19 = e3 | all_0_20_20 = e3
% 14.86/3.98 |
% 14.86/3.98 +-Applying beta-rule and splitting (1000), into two cases.
% 14.86/3.98 |-Branch one:
% 14.86/3.98 | (946) all_0_19_19 = e3
% 14.86/3.98 |
% 14.86/3.98 | Combining equations (274,946) yields a new equation:
% 14.86/3.98 | (299) e3 = e1
% 14.86/3.98 |
% 14.86/3.98 | Equations (299) can reduce 132 to:
% 14.86/3.98 | (247) $false
% 14.86/3.98 |
% 14.86/3.98 |-The branch is then unsatisfiable
% 14.86/3.98 |-Branch two:
% 14.86/3.98 | (1004) ~ (all_0_19_19 = e3)
% 14.86/3.98 | (1005) all_0_20_20 = e3
% 14.86/3.98 |
% 14.86/3.99 | Combining equations (1005,249) yields a new equation:
% 14.86/3.99 | (1006) e3 = e0
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 1006 yields:
% 14.86/3.99 | (761) e3 = e0
% 14.86/3.99 |
% 14.86/3.99 | Equations (761) can reduce 64 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (313) ~ (all_0_14_14 = e3)
% 14.86/3.99 | (293) all_0_14_14 = e2
% 14.86/3.99 |
% 14.86/3.99 | Equations (293) can reduce 326 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (1012) ~ (all_0_12_12 = e1)
% 14.86/3.99 | (1013) all_0_15_15 = e1 | all_0_20_20 = e1
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (1013), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (1014) all_0_15_15 = e1
% 14.86/3.99 |
% 14.86/3.99 | Equations (1014) can reduce 229 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (229) ~ (all_0_15_15 = e1)
% 14.86/3.99 | (1017) all_0_20_20 = e1
% 14.86/3.99 |
% 14.86/3.99 | Combining equations (1017,249) yields a new equation:
% 14.86/3.99 | (245) e1 = e0
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 245 yields:
% 14.86/3.99 | (246) e1 = e0
% 14.86/3.99 |
% 14.86/3.99 | Equations (246) can reduce 128 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (1021) ~ (all_0_19_19 = e1)
% 14.86/3.99 | (1017) all_0_20_20 = e1
% 14.86/3.99 |
% 14.86/3.99 | Combining equations (1017,249) yields a new equation:
% 14.86/3.99 | (245) e1 = e0
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 245 yields:
% 14.86/3.99 | (246) e1 = e0
% 14.86/3.99 |
% 14.86/3.99 | Equations (246) can reduce 128 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (1026) ~ (all_0_5_5 = e1)
% 14.86/3.99 | (1017) all_0_20_20 = e1
% 14.86/3.99 |
% 14.86/3.99 | Equations (1017) can reduce 72 to:
% 14.86/3.99 | (218) ~ (all_0_3_3 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (1017) can reduce 79 to:
% 14.86/3.99 | (239) ~ (all_0_8_8 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (1017) can reduce 35 to:
% 14.86/3.99 | (229) ~ (all_0_15_15 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (1017) can reduce 77 to:
% 14.86/3.99 | (243) ~ (all_0_17_17 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (1017) can reduce 92 to:
% 14.86/3.99 | (222) ~ (all_0_18_18 = e1)
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (21), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (244) all_0_5_5 = e0
% 14.86/3.99 |
% 14.86/3.99 | Equations (244) can reduce 51 to:
% 14.86/3.99 | (913) ~ (all_0_0_0 = e0)
% 14.86/3.99 |
% 14.86/3.99 | Equations (244) can reduce 65 to:
% 14.86/3.99 | (558) ~ (all_0_4_4 = e0)
% 14.86/3.99 |
% 14.86/3.99 | Equations (244) can reduce 109 to:
% 14.86/3.99 | (709) ~ (all_0_7_7 = e0)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 709 yields:
% 14.86/3.99 | (710) ~ (all_0_7_7 = e0)
% 14.86/3.99 |
% 14.86/3.99 | Equations (244) can reduce 144 to:
% 14.86/3.99 | (1038) ~ (all_0_17_17 = e0)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 1038 yields:
% 14.86/3.99 | (252) ~ (all_0_17_17 = e0)
% 14.86/3.99 |
% 14.86/3.99 | Equations (244) can reduce 1026 to:
% 14.86/3.99 | (541) ~ (e1 = e0)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 541 yields:
% 14.86/3.99 | (128) ~ (e1 = e0)
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (22), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (564) all_0_4_4 = e1
% 14.86/3.99 |
% 14.86/3.99 | Equations (564) can reduce 225 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (225) ~ (all_0_4_4 = e1)
% 14.86/3.99 | (1045) all_0_5_5 = e1 | all_0_6_6 = e1 | all_0_7_7 = e1 | all_0_8_8 = e1
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (1045), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (233) all_0_5_5 = e1
% 14.86/3.99 |
% 14.86/3.99 | Combining equations (244,233) yields a new equation:
% 14.86/3.99 | (246) e1 = e0
% 14.86/3.99 |
% 14.86/3.99 | Equations (246) can reduce 128 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (1026) ~ (all_0_5_5 = e1)
% 14.86/3.99 | (1050) all_0_6_6 = e1 | all_0_7_7 = e1 | all_0_8_8 = e1
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (1050), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (370) all_0_6_6 = e1
% 14.86/3.99 |
% 14.86/3.99 | Equations (370) can reduce 220 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (220) ~ (all_0_6_6 = e1)
% 14.86/3.99 | (1054) all_0_7_7 = e1 | all_0_8_8 = e1
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (1054), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (1055) all_0_7_7 = e1
% 14.86/3.99 |
% 14.86/3.99 | Equations (1055) can reduce 85 to:
% 14.86/3.99 | (216) ~ (all_0_2_2 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (1055) can reduce 164 to:
% 14.86/3.99 | (220) ~ (all_0_6_6 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (1055) can reduce 209 to:
% 14.86/3.99 | (279) ~ (e4 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 279 yields:
% 14.86/3.99 | (210) ~ (e4 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (1055) can reduce 710 to:
% 14.86/3.99 | (128) ~ (e1 = e0)
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (31), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (692) all_0_0_0 = e1
% 14.86/3.99 |
% 14.86/3.99 | Equations (692) can reduce 214 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (214) ~ (all_0_0_0 = e1)
% 14.86/3.99 | (1064) all_0_5_5 = e1 | all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_17_17 = e1
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (1064), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (233) all_0_5_5 = e1
% 14.86/3.99 |
% 14.86/3.99 | Combining equations (233,244) yields a new equation:
% 14.86/3.99 | (245) e1 = e0
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 245 yields:
% 14.86/3.99 | (246) e1 = e0
% 14.86/3.99 |
% 14.86/3.99 | Equations (246) can reduce 128 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (1026) ~ (all_0_5_5 = e1)
% 14.86/3.99 | (1070) all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_17_17 = e1
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (1070), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (581) all_0_10_10 = e1
% 14.86/3.99 |
% 14.86/3.99 | Equations (581) can reduce 127 to:
% 14.86/3.99 | (214) ~ (all_0_0_0 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (581) can reduce 176 to:
% 14.86/3.99 | (285) ~ (all_0_9_9 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (581) can reduce 202 to:
% 14.86/3.99 | (1074) ~ (all_0_11_11 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 1074 yields:
% 14.86/3.99 | (1075) ~ (all_0_11_11 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (581) can reduce 93 to:
% 14.86/3.99 | (226) ~ (all_0_14_14 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 226 yields:
% 14.86/3.99 | (227) ~ (all_0_14_14 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (581) can reduce 122 to:
% 14.86/3.99 | (242) ~ (all_0_17_17 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 242 yields:
% 14.86/3.99 | (243) ~ (all_0_17_17 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (581) can reduce 196 to:
% 14.86/3.99 | (287) ~ (e3 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 287 yields:
% 14.86/3.99 | (132) ~ (e3 = e1)
% 14.86/3.99 |
% 14.86/3.99 | From (581) and (16) follows:
% 14.86/3.99 | (1082) op(e2, e3) = e1
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (116), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (293) all_0_14_14 = e2
% 14.86/3.99 |
% 14.86/3.99 | Equations (293) can reduce 198 to:
% 14.86/3.99 | (1084) ~ (all_0_17_17 = e2)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 1084 yields:
% 14.86/3.99 | (328) ~ (all_0_17_17 = e2)
% 14.86/3.99 |
% 14.86/3.99 | Equations (293) can reduce 227 to:
% 14.86/3.99 | (138) ~ (e2 = e1)
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (157), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (1014) all_0_15_15 = e1
% 14.86/3.99 |
% 14.86/3.99 | Equations (1014) can reduce 229 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (229) ~ (all_0_15_15 = e1)
% 14.86/3.99 | (1090) all_0_15_15 = e3 | all_0_15_15 = e2
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (125), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (298) all_0_13_13 = e3
% 14.86/3.99 |
% 14.86/3.99 | Combining equations (298,224) yields a new equation:
% 14.86/3.99 | (773) e3 = e1
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 773 yields:
% 14.86/3.99 | (299) e3 = e1
% 14.86/3.99 |
% 14.86/3.99 | Equations (299) can reduce 132 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (301) ~ (all_0_13_13 = e3)
% 14.86/3.99 | (302) all_0_14_14 = e3 | all_0_15_15 = e3
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (302), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (310) all_0_14_14 = e3
% 14.86/3.99 |
% 14.86/3.99 | Combining equations (293,310) yields a new equation:
% 14.86/3.99 | (311) e3 = e2
% 14.86/3.99 |
% 14.86/3.99 | Equations (311) can reduce 191 to:
% 14.86/3.99 | (247) $false
% 14.86/3.99 |
% 14.86/3.99 |-The branch is then unsatisfiable
% 14.86/3.99 |-Branch two:
% 14.86/3.99 | (313) ~ (all_0_14_14 = e3)
% 14.86/3.99 | (314) all_0_15_15 = e3
% 14.86/3.99 |
% 14.86/3.99 | Equations (314) can reduce 43 to:
% 14.86/3.99 | (834) ~ (all_0_8_8 = e3)
% 14.86/3.99 |
% 14.86/3.99 | Equations (314) can reduce 229 to:
% 14.86/3.99 | (132) ~ (e3 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Equations (314) can reduce 152 to:
% 14.86/3.99 | (64) ~ (e3 = e0)
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (185), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (572) all_0_4_4 = e3
% 14.86/3.99 |
% 14.86/3.99 | Equations (572) can reduce 76 to:
% 14.86/3.99 | (1106) ~ (all_0_16_16 = e3)
% 14.86/3.99 |
% 14.86/3.99 | Simplifying 1106 yields:
% 14.86/3.99 | (995) ~ (all_0_16_16 = e3)
% 14.86/3.99 |
% 14.86/3.99 | Equations (572) can reduce 187 to:
% 14.86/3.99 | (191) ~ (e3 = e2)
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (3), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (316), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (317), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 14.86/3.99 |
% 14.86/3.99 +-Applying beta-rule and splitting (318), into two cases.
% 14.86/3.99 |-Branch one:
% 14.86/3.99 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 14.86/3.99 |
% 14.86/3.99 | Applying alpha-rule on (319) yields:
% 14.86/3.99 | (320) ~ (all_0_8_8 = e2)
% 14.86/4.00 | (321) ~ (all_0_5_5 = e2)
% 14.86/4.00 | (322) ~ (all_0_11_11 = e2)
% 14.86/4.00 | (323) ~ (all_0_12_12 = e2)
% 14.86/4.00 | (324) ~ (all_0_20_20 = e2)
% 14.86/4.00 | (325) ~ (unit = e2)
% 14.86/4.00 | (326) ~ (all_0_14_14 = e2)
% 14.86/4.00 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 14.86/4.00 | (328) ~ (all_0_17_17 = e2)
% 14.86/4.00 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 14.86/4.00 | (330) all_0_1_1 = e4
% 14.86/4.00 |
% 14.86/4.00 | Combining equations (330,213) yields a new equation:
% 14.86/4.00 | (331) e4 = e1
% 14.86/4.00 |
% 14.86/4.00 | Simplifying 331 yields:
% 14.86/4.00 | (332) e4 = e1
% 14.86/4.00 |
% 14.86/4.00 | Equations (332) can reduce 210 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 14.86/4.00 |
% 14.86/4.00 | Applying alpha-rule on (334) yields:
% 14.86/4.00 | (301) ~ (all_0_13_13 = e3)
% 14.86/4.00 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 14.86/4.00 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 14.86/4.00 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 14.86/4.00 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 14.86/4.00 | (340) ~ (all_0_15_15 = e3)
% 14.86/4.00 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 14.86/4.00 | (303) all_0_10_10 = e2
% 14.86/4.00 | (343) ~ (unit = e3)
% 14.86/4.00 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 14.86/4.00 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 14.86/4.00 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 14.86/4.00 |
% 14.86/4.00 | Combining equations (581,303) yields a new equation:
% 14.86/4.00 | (420) e2 = e1
% 14.86/4.00 |
% 14.86/4.00 | Equations (420) can reduce 138 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 14.86/4.00 |
% 14.86/4.00 | Applying alpha-rule on (348) yields:
% 14.86/4.00 | (349) ~ (unit = e4)
% 14.86/4.00 | (350) ~ (all_0_6_6 = e4)
% 14.86/4.00 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 14.86/4.00 | (352) ~ (all_0_18_18 = e4)
% 14.86/4.00 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 14.86/4.00 | (354) ~ (all_0_0_0 = e4)
% 14.86/4.00 | (355) ~ (all_0_10_10 = e4)
% 14.86/4.00 | (356) ~ (all_0_3_3 = e4)
% 14.86/4.00 | (224) all_0_13_13 = e1
% 14.86/4.00 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 14.86/4.00 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 14.86/4.00 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (29), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (927) all_0_0_0 = e4
% 14.86/4.00 |
% 14.86/4.00 | Equations (927) can reduce 354 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (354) ~ (all_0_0_0 = e4)
% 14.86/4.00 | (1158) all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (360), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (992) ~ (all_0_17_17 = e4)
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (38), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (692) all_0_0_0 = e1
% 14.86/4.00 |
% 14.86/4.00 | Equations (692) can reduce 214 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (214) ~ (all_0_0_0 = e1)
% 14.86/4.00 | (695) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e0
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (695), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (795) all_0_0_0 = e0
% 14.86/4.00 |
% 14.86/4.00 | Equations (795) can reduce 913 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (913) ~ (all_0_0_0 = e0)
% 14.86/4.00 | (1167) all_0_0_0 = e4 | all_0_0_0 = e3
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (1167), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (1168) all_0_0_0 = e3
% 14.86/4.00 |
% 14.86/4.00 | Equations (1168) can reduce 80 to:
% 14.86/4.00 | (431) ~ (all_0_17_17 = e3)
% 14.86/4.00 |
% 14.86/4.00 | Simplifying 431 yields:
% 14.86/4.00 | (432) ~ (all_0_17_17 = e3)
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (177), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (262) all_0_17_17 = e1
% 14.86/4.00 |
% 14.86/4.00 | Equations (262) can reduce 243 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (243) ~ (all_0_17_17 = e1)
% 14.86/4.00 | (679) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e0
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (679), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (680) all_0_17_17 = e0
% 14.86/4.00 |
% 14.86/4.00 | Equations (680) can reduce 252 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (252) ~ (all_0_17_17 = e0)
% 14.86/4.00 | (683) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (683), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (684) all_0_17_17 = e3
% 14.86/4.00 |
% 14.86/4.00 | Equations (684) can reduce 432 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (432) ~ (all_0_17_17 = e3)
% 14.86/4.00 | (687) all_0_17_17 = e4 | all_0_17_17 = e2
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (687), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (688) all_0_17_17 = e4
% 14.86/4.00 |
% 14.86/4.00 | Equations (688) can reduce 992 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (992) ~ (all_0_17_17 = e4)
% 14.86/4.00 | (458) all_0_17_17 = e2
% 14.86/4.00 |
% 14.86/4.00 | Equations (458) can reduce 328 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (1188) ~ (all_0_0_0 = e3)
% 14.86/4.00 | (927) all_0_0_0 = e4
% 14.86/4.00 |
% 14.86/4.00 | Equations (927) can reduce 354 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (688) all_0_17_17 = e4
% 14.86/4.00 | (435) all_0_16_16 = e3
% 14.86/4.00 |
% 14.86/4.00 | Equations (435) can reduce 995 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 14.86/4.00 |
% 14.86/4.00 | Applying alpha-rule on (379) yields:
% 14.86/4.00 | (380) all_0_15_15 = e2
% 14.86/4.00 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 14.86/4.00 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 14.86/4.00 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 14.86/4.00 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 14.86/4.00 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 14.86/4.00 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 14.86/4.00 | (387) ~ (unit = e0)
% 14.86/4.00 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 14.86/4.00 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 14.86/4.00 | (390) ~ (all_0_10_10 = e0)
% 14.86/4.00 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 14.86/4.00 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 14.86/4.00 |
% 14.86/4.00 | Combining equations (314,380) yields a new equation:
% 14.86/4.00 | (657) e3 = e2
% 14.86/4.00 |
% 14.86/4.00 | Simplifying 657 yields:
% 14.86/4.00 | (311) e3 = e2
% 14.86/4.00 |
% 14.86/4.00 | Equations (311) can reduce 191 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 14.86/4.00 |
% 14.86/4.00 | Applying alpha-rule on (395) yields:
% 14.86/4.00 | (396) ~ (all_0_1_1 = e1)
% 14.86/4.00 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 14.86/4.00 | (227) ~ (all_0_14_14 = e1)
% 14.86/4.00 | (225) ~ (all_0_4_4 = e1)
% 14.86/4.00 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 14.86/4.00 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 14.86/4.00 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 14.86/4.00 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 14.86/4.00 | (231) ~ (all_0_16_16 = e1)
% 14.86/4.00 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 14.86/4.00 | (286) ~ (all_0_10_10 = e1)
% 14.86/4.00 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 14.86/4.00 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 14.86/4.00 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 14.86/4.00 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 14.86/4.00 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 14.86/4.00 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 14.86/4.00 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 14.86/4.00 | (285) ~ (all_0_9_9 = e1)
% 14.86/4.00 | (229) ~ (all_0_15_15 = e1)
% 14.86/4.00 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 14.86/4.00 |
% 14.86/4.00 | Equations (581) can reduce 286 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (436) ~ (all_0_4_4 = e3)
% 14.86/4.00 | (764) all_0_5_5 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (764), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (772) all_0_5_5 = e3
% 14.86/4.00 |
% 14.86/4.00 | Combining equations (772,244) yields a new equation:
% 14.86/4.00 | (1006) e3 = e0
% 14.86/4.00 |
% 14.86/4.00 | Simplifying 1006 yields:
% 14.86/4.00 | (761) e3 = e0
% 14.86/4.00 |
% 14.86/4.00 | Equations (761) can reduce 64 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (776) ~ (all_0_5_5 = e3)
% 14.86/4.00 | (777) all_0_7_7 = e3 | all_0_8_8 = e3
% 14.86/4.00 |
% 14.86/4.00 +-Applying beta-rule and splitting (777), into two cases.
% 14.86/4.00 |-Branch one:
% 14.86/4.00 | (784) all_0_7_7 = e3
% 14.86/4.00 |
% 14.86/4.00 | Combining equations (1055,784) yields a new equation:
% 14.86/4.00 | (299) e3 = e1
% 14.86/4.00 |
% 14.86/4.00 | Equations (299) can reduce 132 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (787) ~ (all_0_7_7 = e3)
% 14.86/4.00 | (788) all_0_8_8 = e3
% 14.86/4.00 |
% 14.86/4.00 | Equations (788) can reduce 834 to:
% 14.86/4.00 | (247) $false
% 14.86/4.00 |
% 14.86/4.00 |-The branch is then unsatisfiable
% 14.86/4.00 |-Branch two:
% 14.86/4.00 | (326) ~ (all_0_14_14 = e2)
% 14.86/4.00 | (380) all_0_15_15 = e2
% 14.86/4.00 |
% 14.86/4.00 | Equations (380) can reduce 50 to:
% 14.86/4.00 | (103) ~ (all_0_3_3 = e2)
% 14.86/4.00 |
% 14.86/4.00 | Equations (380) can reduce 111 to:
% 14.86/4.00 | (323) ~ (all_0_12_12 = e2)
% 14.86/4.00 |
% 14.86/4.00 | Equations (380) can reduce 184 to:
% 14.86/4.00 | (326) ~ (all_0_14_14 = e2)
% 14.86/4.00 |
% 14.86/4.00 | Equations (380) can reduce 229 to:
% 14.86/4.00 | (138) ~ (e2 = e1)
% 14.86/4.00 |
% 14.86/4.00 | Equations (380) can reduce 152 to:
% 14.86/4.00 | (47) ~ (e2 = e0)
% 14.86/4.00 |
% 14.86/4.00 | From (380) and (112) follows:
% 14.86/4.01 | (1255) op(e1, e0) = e2
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (163), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (303) all_0_10_10 = e2
% 14.95/4.01 |
% 14.95/4.01 | Combining equations (581,303) yields a new equation:
% 14.95/4.01 | (420) e2 = e1
% 14.95/4.01 |
% 14.95/4.01 | Equations (420) can reduce 138 to:
% 14.95/4.01 | (247) $false
% 14.95/4.01 |
% 14.95/4.01 |-The branch is then unsatisfiable
% 14.95/4.01 |-Branch two:
% 14.95/4.01 | (294) ~ (all_0_10_10 = e2)
% 14.95/4.01 | (306) all_0_11_11 = e2 | all_0_12_12 = e2
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (306), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (307) all_0_11_11 = e2
% 14.95/4.01 |
% 14.95/4.01 | Equations (307) can reduce 48 to:
% 14.95/4.01 | (75) ~ (all_0_2_2 = e2)
% 14.95/4.01 |
% 14.95/4.01 | Equations (307) can reduce 180 to:
% 14.95/4.01 | (36) ~ (all_0_9_9 = e2)
% 14.95/4.01 |
% 14.95/4.01 | Equations (307) can reduce 34 to:
% 14.95/4.01 | (467) ~ (e4 = e2)
% 14.95/4.01 |
% 14.95/4.01 | Simplifying 467 yields:
% 14.95/4.01 | (194) ~ (e4 = e2)
% 14.95/4.01 |
% 14.95/4.01 | Equations (307) can reduce 1075 to:
% 14.95/4.01 | (138) ~ (e2 = e1)
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (62), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (638) all_0_5_5 = e2
% 14.95/4.01 |
% 14.95/4.01 | Combining equations (638,244) yields a new equation:
% 14.95/4.01 | (779) e2 = e0
% 14.95/4.01 |
% 14.95/4.01 | Simplifying 779 yields:
% 14.95/4.01 | (552) e2 = e0
% 14.95/4.01 |
% 14.95/4.01 | Equations (552) can reduce 47 to:
% 14.95/4.01 | (247) $false
% 14.95/4.01 |
% 14.95/4.01 |-The branch is then unsatisfiable
% 14.95/4.01 |-Branch two:
% 14.95/4.01 | (321) ~ (all_0_5_5 = e2)
% 14.95/4.01 | (643) all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (643), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (303) all_0_10_10 = e2
% 14.95/4.01 |
% 14.95/4.01 | Combining equations (581,303) yields a new equation:
% 14.95/4.01 | (420) e2 = e1
% 14.95/4.01 |
% 14.95/4.01 | Equations (420) can reduce 138 to:
% 14.95/4.01 | (247) $false
% 14.95/4.01 |
% 14.95/4.01 |-The branch is then unsatisfiable
% 14.95/4.01 |-Branch two:
% 14.95/4.01 | (294) ~ (all_0_10_10 = e2)
% 14.95/4.01 | (655) all_0_14_14 = e2 | all_0_17_17 = e2
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (655), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (293) all_0_14_14 = e2
% 14.95/4.01 |
% 14.95/4.01 | Equations (293) can reduce 326 to:
% 14.95/4.01 | (247) $false
% 14.95/4.01 |
% 14.95/4.01 |-The branch is then unsatisfiable
% 14.95/4.01 |-Branch two:
% 14.95/4.01 | (326) ~ (all_0_14_14 = e2)
% 14.95/4.01 | (458) all_0_17_17 = e2
% 14.95/4.01 |
% 14.95/4.01 | Equations (458) can reduce 121 to:
% 14.95/4.01 | (1282) ~ (all_0_18_18 = e2)
% 14.95/4.01 |
% 14.95/4.01 | Simplifying 1282 yields:
% 14.95/4.01 | (1283) ~ (all_0_18_18 = e2)
% 14.95/4.01 |
% 14.95/4.01 | From (458) and (98) follows:
% 14.95/4.01 | (1284) op(e0, e3) = e2
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (60), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (377) all_0_6_6 = e2
% 14.95/4.01 |
% 14.95/4.01 | Equations (377) can reduce 56 to:
% 14.95/4.01 | (1282) ~ (all_0_18_18 = e2)
% 14.95/4.01 |
% 14.95/4.01 | Simplifying 1282 yields:
% 14.95/4.01 | (1283) ~ (all_0_18_18 = e2)
% 14.95/4.01 |
% 14.95/4.01 | Equations (377) can reduce 220 to:
% 14.95/4.01 | (138) ~ (e2 = e1)
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (201), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (330) all_0_1_1 = e4
% 14.95/4.01 |
% 14.95/4.01 | Combining equations (330,213) yields a new equation:
% 14.95/4.01 | (331) e4 = e1
% 14.95/4.01 |
% 14.95/4.01 | Simplifying 331 yields:
% 14.95/4.01 | (332) e4 = e1
% 14.95/4.01 |
% 14.95/4.01 | Equations (332) can reduce 210 to:
% 14.95/4.01 | (247) $false
% 14.95/4.01 |
% 14.95/4.01 |-The branch is then unsatisfiable
% 14.95/4.01 |-Branch two:
% 14.95/4.01 | (452) ~ (all_0_1_1 = e4)
% 14.95/4.01 | (453) all_0_6_6 = e4 | all_0_18_18 = e4
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (453), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (374) all_0_6_6 = e4
% 14.95/4.01 |
% 14.95/4.01 | Combining equations (377,374) yields a new equation:
% 14.95/4.01 | (471) e4 = e2
% 14.95/4.01 |
% 14.95/4.01 | Equations (471) can reduce 194 to:
% 14.95/4.01 | (247) $false
% 14.95/4.01 |
% 14.95/4.01 |-The branch is then unsatisfiable
% 14.95/4.01 |-Branch two:
% 14.95/4.01 | (350) ~ (all_0_6_6 = e4)
% 14.95/4.01 | (365) all_0_18_18 = e4
% 14.95/4.01 |
% 14.95/4.01 | Equations (365) can reduce 5 to:
% 14.95/4.01 | (1300) ~ (all_0_16_16 = e4)
% 14.95/4.01 |
% 14.95/4.01 | Equations (365) can reduce 1283 to:
% 14.95/4.01 | (194) ~ (e4 = e2)
% 14.95/4.01 |
% 14.95/4.01 | Equations (365) can reduce 222 to:
% 14.95/4.01 | (210) ~ (e4 = e1)
% 14.95/4.01 |
% 14.95/4.01 | Equations (365) can reduce 200 to:
% 14.95/4.01 | (7) ~ (e4 = e0)
% 14.95/4.01 |
% 14.95/4.01 | From (365) and (63) follows:
% 14.95/4.01 | (1304) op(e0, e2) = e4
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (29), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (927) all_0_0_0 = e4
% 14.95/4.01 |
% 14.95/4.01 | Equations (927) can reduce 214 to:
% 14.95/4.01 | (210) ~ (e4 = e1)
% 14.95/4.01 |
% 14.95/4.01 | Equations (927) can reduce 913 to:
% 14.95/4.01 | (7) ~ (e4 = e0)
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (3), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (316), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (317), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 14.95/4.01 |
% 14.95/4.01 +-Applying beta-rule and splitting (318), into two cases.
% 14.95/4.01 |-Branch one:
% 14.95/4.01 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 14.95/4.01 |
% 14.95/4.01 | Applying alpha-rule on (319) yields:
% 14.95/4.01 | (320) ~ (all_0_8_8 = e2)
% 14.95/4.01 | (321) ~ (all_0_5_5 = e2)
% 14.95/4.01 | (322) ~ (all_0_11_11 = e2)
% 14.95/4.01 | (323) ~ (all_0_12_12 = e2)
% 14.95/4.01 | (324) ~ (all_0_20_20 = e2)
% 14.95/4.01 | (325) ~ (unit = e2)
% 14.95/4.01 | (326) ~ (all_0_14_14 = e2)
% 14.95/4.01 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 14.95/4.01 | (328) ~ (all_0_17_17 = e2)
% 14.95/4.01 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 14.95/4.01 | (330) all_0_1_1 = e4
% 14.95/4.01 |
% 14.95/4.01 | Combining equations (330,213) yields a new equation:
% 14.95/4.01 | (331) e4 = e1
% 14.95/4.01 |
% 14.95/4.01 | Simplifying 331 yields:
% 14.95/4.01 | (332) e4 = e1
% 14.95/4.01 |
% 14.95/4.01 | Equations (332) can reduce 210 to:
% 14.95/4.01 | (247) $false
% 14.95/4.01 |
% 14.95/4.01 |-The branch is then unsatisfiable
% 14.95/4.01 |-Branch two:
% 14.95/4.01 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 14.95/4.01 |
% 14.95/4.01 | Applying alpha-rule on (334) yields:
% 14.95/4.01 | (301) ~ (all_0_13_13 = e3)
% 14.95/4.01 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 14.95/4.01 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 14.95/4.01 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 14.95/4.01 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 14.95/4.01 | (340) ~ (all_0_15_15 = e3)
% 14.95/4.01 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 14.95/4.01 | (303) all_0_10_10 = e2
% 14.95/4.01 | (343) ~ (unit = e3)
% 14.95/4.01 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 14.95/4.01 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 14.95/4.01 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 14.95/4.01 |
% 14.95/4.01 | Combining equations (303,581) yields a new equation:
% 14.95/4.01 | (629) e2 = e1
% 14.95/4.01 |
% 14.95/4.01 | Simplifying 629 yields:
% 14.95/4.01 | (420) e2 = e1
% 14.95/4.01 |
% 14.95/4.01 | Equations (420) can reduce 138 to:
% 14.95/4.01 | (247) $false
% 14.95/4.01 |
% 14.95/4.01 |-The branch is then unsatisfiable
% 14.95/4.01 |-Branch two:
% 14.95/4.01 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 14.95/4.01 |
% 14.95/4.01 | Applying alpha-rule on (348) yields:
% 14.95/4.01 | (349) ~ (unit = e4)
% 14.95/4.01 | (350) ~ (all_0_6_6 = e4)
% 14.95/4.01 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 14.95/4.01 | (352) ~ (all_0_18_18 = e4)
% 14.95/4.01 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 14.95/4.01 | (354) ~ (all_0_0_0 = e4)
% 14.95/4.01 | (355) ~ (all_0_10_10 = e4)
% 14.95/4.01 | (356) ~ (all_0_3_3 = e4)
% 14.95/4.01 | (224) all_0_13_13 = e1
% 14.95/4.01 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 14.95/4.01 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 14.95/4.01 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 14.95/4.01 |
% 14.95/4.01 | Equations (365) can reduce 352 to:
% 14.95/4.01 | (247) $false
% 14.95/4.01 |
% 14.95/4.01 |-The branch is then unsatisfiable
% 14.95/4.01 |-Branch two:
% 14.95/4.01 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 14.95/4.01 |
% 14.95/4.01 | Applying alpha-rule on (379) yields:
% 14.95/4.01 | (380) all_0_15_15 = e2
% 14.95/4.01 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 14.95/4.01 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 14.95/4.01 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 14.95/4.02 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 14.95/4.02 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 14.95/4.02 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 14.95/4.02 | (387) ~ (unit = e0)
% 14.95/4.02 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 14.95/4.02 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 14.95/4.02 | (390) ~ (all_0_10_10 = e0)
% 14.95/4.02 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 14.95/4.02 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (384), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (770) ~ (all_0_2_2 = e0)
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (49), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (1371) all_0_2_2 = e1
% 14.95/4.02 |
% 14.95/4.02 | Equations (1371) can reduce 216 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (216) ~ (all_0_2_2 = e1)
% 14.95/4.02 | (1374) all_0_2_2 = e3 | all_0_2_2 = e0
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (52), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (795) all_0_0_0 = e0
% 14.95/4.02 |
% 14.95/4.02 | Combining equations (795,927) yields a new equation:
% 14.95/4.02 | (911) e4 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (911) can reduce 7 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (913) ~ (all_0_0_0 = e0)
% 14.95/4.02 | (914) all_0_2_2 = e0 | all_0_3_3 = e0
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (914), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (767) all_0_2_2 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (767) can reduce 770 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (770) ~ (all_0_2_2 = e0)
% 14.95/4.02 | (919) all_0_3_3 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (919) can reduce 115 to:
% 14.95/4.02 | (770) ~ (all_0_2_2 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Equations (919) can reduce 103 to:
% 14.95/4.02 | (539) ~ (e2 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Simplifying 539 yields:
% 14.95/4.02 | (47) ~ (e2 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Equations (919) can reduce 218 to:
% 14.95/4.02 | (541) ~ (e1 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Simplifying 541 yields:
% 14.95/4.02 | (128) ~ (e1 = e0)
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (162), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (767) all_0_2_2 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (767) can reduce 770 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (770) ~ (all_0_2_2 = e0)
% 14.95/4.02 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (771), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (778) all_0_7_7 = e0
% 14.95/4.02 |
% 14.95/4.02 | Combining equations (778,1055) yields a new equation:
% 14.95/4.02 | (246) e1 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (246) can reduce 128 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (710) ~ (all_0_7_7 = e0)
% 14.95/4.02 | (783) all_0_11_11 = e0 | all_0_19_19 = e0
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (783), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (551) all_0_11_11 = e0
% 14.95/4.02 |
% 14.95/4.02 | Combining equations (307,551) yields a new equation:
% 14.95/4.02 | (779) e2 = e0
% 14.95/4.02 |
% 14.95/4.02 | Simplifying 779 yields:
% 14.95/4.02 | (552) e2 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (552) can reduce 47 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (554) ~ (all_0_11_11 = e0)
% 14.95/4.02 | (922) all_0_19_19 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (922) can reduce 97 to:
% 14.95/4.02 | (770) ~ (all_0_2_2 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Equations (922) can reduce 57 to:
% 14.95/4.02 | (1405) ~ (all_0_16_16 = e0)
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (13), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (536) all_0_4_4 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (536) can reduce 558 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (558) ~ (all_0_4_4 = e0)
% 14.95/4.02 | (563) all_0_9_9 = e0 | all_0_16_16 = e0
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (1374), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (767) all_0_2_2 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (767) can reduce 770 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (770) ~ (all_0_2_2 = e0)
% 14.95/4.02 | (755) all_0_2_2 = e3
% 14.95/4.02 |
% 14.95/4.02 | Equations (755) can reduce 75 to:
% 14.95/4.02 | (191) ~ (e3 = e2)
% 14.95/4.02 |
% 14.95/4.02 | Equations (755) can reduce 216 to:
% 14.95/4.02 | (132) ~ (e3 = e1)
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (563), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (543) all_0_9_9 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (543) can reduce 183 to:
% 14.95/4.02 | (1417) ~ (all_0_12_12 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Simplifying 1417 yields:
% 14.95/4.02 | (1418) ~ (all_0_12_12 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Equations (543) can reduce 142 to:
% 14.95/4.02 | (713) ~ (e3 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Simplifying 713 yields:
% 14.95/4.02 | (64) ~ (e3 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Equations (543) can reduce 36 to:
% 14.95/4.02 | (539) ~ (e2 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Simplifying 539 yields:
% 14.95/4.02 | (47) ~ (e2 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Equations (543) can reduce 285 to:
% 14.95/4.02 | (541) ~ (e1 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Simplifying 541 yields:
% 14.95/4.02 | (128) ~ (e1 = e0)
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (385), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (538) ~ (all_0_9_9 = e0)
% 14.95/4.02 |
% 14.95/4.02 | Equations (543) can reduce 538 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (543) all_0_9_9 = e0
% 14.95/4.02 | (594) all_0_12_12 = e4
% 14.95/4.02 |
% 14.95/4.02 | Equations (594) can reduce 1418 to:
% 14.95/4.02 | (7) ~ (e4 = e0)
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (118), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (575) all_0_4_4 = e4
% 14.95/4.02 |
% 14.95/4.02 | From (575) and (4) follows:
% 14.95/4.02 | (1431) op(e3, e4) = e4
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (11), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (435) all_0_16_16 = e3
% 14.95/4.02 |
% 14.95/4.02 | From (435) and (78) follows:
% 14.95/4.02 | (1433) op(e0, e4) = e3
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (59), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (1434) unit = e1
% 14.95/4.02 |
% 14.95/4.02 | From (1434) and (46) follows:
% 14.95/4.02 | (1435) op(e1, e0) = e0
% 14.95/4.02 |
% 14.95/4.02 | Instantiating formula (120) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields:
% 14.95/4.02 | (552) e2 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (552) can reduce 47 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (1438) ~ (unit = e1)
% 14.95/4.02 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (1439), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (1440) unit = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (1440) can reduce 387 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (387) ~ (unit = e0)
% 14.95/4.02 | (1443) unit = e4 | unit = e3 | unit = e2
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (1443), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (1444) unit = e3
% 14.95/4.02 |
% 14.95/4.02 | From (1444) and (151) follows:
% 14.95/4.02 | (1445) op(e2, e3) = e2
% 14.95/4.02 |
% 14.95/4.02 | From (1444) and (108) follows:
% 14.95/4.02 | (1446) op(e0, e3) = e0
% 14.95/4.02 |
% 14.95/4.02 | Instantiating formula (120) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields:
% 14.95/4.02 | (420) e2 = e1
% 14.95/4.02 |
% 14.95/4.02 | Instantiating formula (120) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields:
% 14.95/4.02 | (552) e2 = e0
% 14.95/4.02 |
% 14.95/4.02 | Combining equations (420,552) yields a new equation:
% 14.95/4.02 | (245) e1 = e0
% 14.95/4.02 |
% 14.95/4.02 | Simplifying 245 yields:
% 14.95/4.02 | (246) e1 = e0
% 14.95/4.02 |
% 14.95/4.02 | Equations (246) can reduce 128 to:
% 14.95/4.02 | (247) $false
% 14.95/4.02 |
% 14.95/4.02 |-The branch is then unsatisfiable
% 14.95/4.02 |-Branch two:
% 14.95/4.02 | (343) ~ (unit = e3)
% 14.95/4.02 | (1453) unit = e4 | unit = e2
% 14.95/4.02 |
% 14.95/4.02 +-Applying beta-rule and splitting (1453), into two cases.
% 14.95/4.02 |-Branch one:
% 14.95/4.02 | (1454) unit = e4
% 14.95/4.02 |
% 14.95/4.02 | From (1454) and (199) follows:
% 15.07/4.02 | (1455) op(e4, e2) = e2
% 15.07/4.02 |
% 15.07/4.02 | From (1454) and (15) follows:
% 15.07/4.02 | (1456) op(e4, e4) = e4
% 15.07/4.02 |
% 15.07/4.02 | From (1454) and (159) follows:
% 15.07/4.02 | (1457) op(e3, e4) = e3
% 15.07/4.02 |
% 15.07/4.02 | From (1454) and (108) follows:
% 15.07/4.02 | (1458) op(e0, e4) = e0
% 15.07/4.02 |
% 15.07/4.02 | Instantiating formula (120) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields:
% 15.07/4.02 | (471) e4 = e2
% 15.07/4.02 |
% 15.07/4.02 | Instantiating formula (120) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields:
% 15.07/4.02 | (420) e2 = e1
% 15.07/4.02 |
% 15.07/4.02 | Instantiating formula (120) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 15.07/4.02 | (873) e4 = e3
% 15.07/4.02 |
% 15.07/4.02 | Instantiating formula (120) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields:
% 15.07/4.03 | (761) e3 = e0
% 15.07/4.03 |
% 15.07/4.03 | Combining equations (471,873) yields a new equation:
% 15.07/4.03 | (311) e3 = e2
% 15.07/4.03 |
% 15.07/4.03 | Combining equations (311,761) yields a new equation:
% 15.07/4.03 | (779) e2 = e0
% 15.07/4.03 |
% 15.07/4.03 | Simplifying 779 yields:
% 15.07/4.03 | (552) e2 = e0
% 15.07/4.03 |
% 15.07/4.03 | Combining equations (420,552) yields a new equation:
% 15.07/4.03 | (245) e1 = e0
% 15.07/4.03 |
% 15.07/4.03 | Simplifying 245 yields:
% 15.07/4.03 | (246) e1 = e0
% 15.07/4.03 |
% 15.07/4.03 | Equations (246) can reduce 128 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (349) ~ (unit = e4)
% 15.07/4.03 | (1470) unit = e2
% 15.07/4.03 |
% 15.07/4.03 | From (1470) and (15) follows:
% 15.07/4.03 | (1471) op(e4, e2) = e4
% 15.07/4.03 |
% 15.07/4.03 | From (1470) and (108) follows:
% 15.07/4.03 | (1472) op(e0, e2) = e0
% 15.07/4.03 |
% 15.07/4.03 | Instantiating formula (120) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields:
% 15.07/4.03 | (332) e4 = e1
% 15.07/4.03 |
% 15.07/4.03 | Instantiating formula (120) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields:
% 15.07/4.03 | (911) e4 = e0
% 15.07/4.03 |
% 15.07/4.03 | Combining equations (911,332) yields a new equation:
% 15.07/4.03 | (246) e1 = e0
% 15.07/4.03 |
% 15.07/4.03 | Equations (246) can reduce 128 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (995) ~ (all_0_16_16 = e3)
% 15.07/4.03 | (996) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 15.07/4.03 |
% 15.07/4.03 +-Applying beta-rule and splitting (996), into two cases.
% 15.07/4.03 |-Branch one:
% 15.07/4.03 | (684) all_0_17_17 = e3
% 15.07/4.03 |
% 15.07/4.03 | Combining equations (684,458) yields a new equation:
% 15.07/4.03 | (657) e3 = e2
% 15.07/4.03 |
% 15.07/4.03 | Simplifying 657 yields:
% 15.07/4.03 | (311) e3 = e2
% 15.07/4.03 |
% 15.07/4.03 | Equations (311) can reduce 191 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (432) ~ (all_0_17_17 = e3)
% 15.07/4.03 | (1000) all_0_19_19 = e3 | all_0_20_20 = e3
% 15.07/4.03 |
% 15.07/4.03 +-Applying beta-rule and splitting (1000), into two cases.
% 15.07/4.03 |-Branch one:
% 15.07/4.03 | (946) all_0_19_19 = e3
% 15.07/4.03 |
% 15.07/4.03 | Combining equations (922,946) yields a new equation:
% 15.07/4.03 | (761) e3 = e0
% 15.07/4.03 |
% 15.07/4.03 | Equations (761) can reduce 64 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (1004) ~ (all_0_19_19 = e3)
% 15.07/4.03 | (1005) all_0_20_20 = e3
% 15.07/4.03 |
% 15.07/4.03 | Combining equations (1005,1017) yields a new equation:
% 15.07/4.03 | (773) e3 = e1
% 15.07/4.03 |
% 15.07/4.03 | Simplifying 773 yields:
% 15.07/4.03 | (299) e3 = e1
% 15.07/4.03 |
% 15.07/4.03 | Equations (299) can reduce 132 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (697) ~ (all_0_4_4 = e4)
% 15.07/4.03 | (1494) all_0_9_9 = e4 | all_0_16_16 = e4
% 15.07/4.03 |
% 15.07/4.03 +-Applying beta-rule and splitting (1494), into two cases.
% 15.07/4.03 |-Branch one:
% 15.07/4.03 | (602) all_0_9_9 = e4
% 15.07/4.03 |
% 15.07/4.03 | Combining equations (602,543) yields a new equation:
% 15.07/4.03 | (1496) e4 = e0
% 15.07/4.03 |
% 15.07/4.03 | Simplifying 1496 yields:
% 15.07/4.03 | (911) e4 = e0
% 15.07/4.03 |
% 15.07/4.03 | Equations (911) can reduce 7 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (577) ~ (all_0_9_9 = e4)
% 15.07/4.03 | (1500) all_0_16_16 = e4
% 15.07/4.03 |
% 15.07/4.03 | Equations (1500) can reduce 1300 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (538) ~ (all_0_9_9 = e0)
% 15.07/4.03 | (1503) all_0_16_16 = e0
% 15.07/4.03 |
% 15.07/4.03 | Equations (1503) can reduce 1405 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (767) all_0_2_2 = e0
% 15.07/4.03 | (258) all_0_3_3 = e1
% 15.07/4.03 |
% 15.07/4.03 | Equations (258) can reduce 218 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 15.07/4.03 |
% 15.07/4.03 | Applying alpha-rule on (395) yields:
% 15.07/4.03 | (396) ~ (all_0_1_1 = e1)
% 15.07/4.03 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 15.07/4.03 | (227) ~ (all_0_14_14 = e1)
% 15.07/4.03 | (225) ~ (all_0_4_4 = e1)
% 15.07/4.03 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 15.07/4.03 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 15.07/4.03 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 15.07/4.03 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 15.07/4.03 | (231) ~ (all_0_16_16 = e1)
% 15.07/4.03 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 15.07/4.03 | (286) ~ (all_0_10_10 = e1)
% 15.07/4.03 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 15.07/4.03 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 15.07/4.03 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 15.07/4.03 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 15.07/4.03 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 15.07/4.03 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 15.07/4.03 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 15.07/4.03 | (285) ~ (all_0_9_9 = e1)
% 15.07/4.03 | (229) ~ (all_0_15_15 = e1)
% 15.07/4.03 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 15.07/4.03 |
% 15.07/4.03 | Equations (581) can reduce 286 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (354) ~ (all_0_0_0 = e4)
% 15.07/4.03 | (1158) all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4
% 15.07/4.03 |
% 15.07/4.03 +-Applying beta-rule and splitting (1158), into two cases.
% 15.07/4.03 |-Branch one:
% 15.07/4.03 | (1533) all_0_5_5 = e4
% 15.07/4.03 |
% 15.07/4.03 | Combining equations (1533,244) yields a new equation:
% 15.07/4.03 | (1496) e4 = e0
% 15.07/4.03 |
% 15.07/4.03 | Simplifying 1496 yields:
% 15.07/4.03 | (911) e4 = e0
% 15.07/4.03 |
% 15.07/4.03 | Equations (911) can reduce 7 to:
% 15.07/4.03 | (247) $false
% 15.07/4.03 |
% 15.07/4.03 |-The branch is then unsatisfiable
% 15.07/4.03 |-Branch two:
% 15.07/4.03 | (1537) ~ (all_0_5_5 = e4)
% 15.07/4.03 | (1538) all_0_10_10 = e4 | all_0_17_17 = e4
% 15.12/4.03 |
% 15.12/4.03 +-Applying beta-rule and splitting (1538), into two cases.
% 15.12/4.03 |-Branch one:
% 15.12/4.03 | (589) all_0_10_10 = e4
% 15.12/4.03 |
% 15.12/4.03 | Combining equations (589,581) yields a new equation:
% 15.12/4.03 | (331) e4 = e1
% 15.12/4.03 |
% 15.12/4.03 | Simplifying 331 yields:
% 15.12/4.03 | (332) e4 = e1
% 15.12/4.03 |
% 15.12/4.03 | Equations (332) can reduce 210 to:
% 15.12/4.03 | (247) $false
% 15.12/4.03 |
% 15.12/4.03 |-The branch is then unsatisfiable
% 15.12/4.03 |-Branch two:
% 15.12/4.03 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.03 | (688) all_0_17_17 = e4
% 15.12/4.03 |
% 15.12/4.03 | Combining equations (688,458) yields a new equation:
% 15.12/4.03 | (470) e4 = e2
% 15.12/4.03 |
% 15.12/4.03 | Simplifying 470 yields:
% 15.12/4.03 | (471) e4 = e2
% 15.12/4.03 |
% 15.12/4.03 | Equations (471) can reduce 194 to:
% 15.12/4.03 | (247) $false
% 15.12/4.03 |
% 15.12/4.03 |-The branch is then unsatisfiable
% 15.12/4.03 |-Branch two:
% 15.12/4.03 | (369) ~ (all_0_6_6 = e2)
% 15.12/4.03 | (368) all_0_18_18 = e2
% 15.12/4.03 |
% 15.12/4.03 | Equations (368) can reduce 1283 to:
% 15.12/4.03 | (247) $false
% 15.12/4.03 |
% 15.12/4.03 |-The branch is then unsatisfiable
% 15.12/4.03 |-Branch two:
% 15.12/4.03 | (322) ~ (all_0_11_11 = e2)
% 15.12/4.03 | (419) all_0_12_12 = e2
% 15.12/4.03 |
% 15.12/4.03 | Equations (419) can reduce 323 to:
% 15.12/4.03 | (247) $false
% 15.12/4.03 |
% 15.12/4.03 |-The branch is then unsatisfiable
% 15.12/4.03 |-Branch two:
% 15.12/4.03 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.03 | (1555) all_0_14_14 = e1 | all_0_17_17 = e1
% 15.12/4.03 |
% 15.12/4.03 +-Applying beta-rule and splitting (1555), into two cases.
% 15.12/4.03 |-Branch one:
% 15.12/4.03 | (426) all_0_14_14 = e1
% 15.12/4.03 |
% 15.12/4.03 | Equations (426) can reduce 227 to:
% 15.12/4.03 | (247) $false
% 15.12/4.03 |
% 15.12/4.03 |-The branch is then unsatisfiable
% 15.12/4.03 |-Branch two:
% 15.12/4.03 | (227) ~ (all_0_14_14 = e1)
% 15.12/4.03 | (262) all_0_17_17 = e1
% 15.12/4.03 |
% 15.12/4.03 | Equations (262) can reduce 243 to:
% 15.12/4.03 | (247) $false
% 15.12/4.03 |
% 15.12/4.03 |-The branch is then unsatisfiable
% 15.12/4.03 |-Branch two:
% 15.12/4.03 | (276) ~ (all_0_7_7 = e1)
% 15.12/4.03 | (266) all_0_8_8 = e1
% 15.12/4.03 |
% 15.12/4.03 | Equations (266) can reduce 239 to:
% 15.12/4.03 | (247) $false
% 15.12/4.03 |
% 15.12/4.03 |-The branch is then unsatisfiable
% 15.12/4.03 |-Branch two:
% 15.12/4.03 | (248) ~ (all_0_5_5 = e0)
% 15.12/4.03 | (249) all_0_20_20 = e0
% 15.12/4.03 |
% 15.12/4.03 | Combining equations (249,1017) yields a new equation:
% 15.12/4.03 | (246) e1 = e0
% 15.12/4.03 |
% 15.12/4.03 | Equations (246) can reduce 128 to:
% 15.12/4.03 | (247) $false
% 15.12/4.03 |
% 15.12/4.03 |-The branch is then unsatisfiable
% 15.12/4.03 |-Branch two:
% 15.12/4.03 | (1568) ~ (all_0_13_13 = e1)
% 15.12/4.03 | (298) all_0_13_13 = e3
% 15.12/4.03 |
% 15.12/4.03 | Equations (298) can reduce 69 to:
% 15.12/4.03 | (436) ~ (all_0_4_4 = e3)
% 15.12/4.03 |
% 15.12/4.03 | Equations (298) can reduce 135 to:
% 15.12/4.03 | (142) ~ (all_0_9_9 = e3)
% 15.12/4.03 |
% 15.12/4.03 | Equations (298) can reduce 156 to:
% 15.12/4.03 | (1572) ~ (all_0_14_14 = e3)
% 15.12/4.03 |
% 15.12/4.03 | Simplifying 1572 yields:
% 15.12/4.03 | (313) ~ (all_0_14_14 = e3)
% 15.12/4.03 |
% 15.12/4.03 | Equations (298) can reduce 89 to:
% 15.12/4.03 | (1106) ~ (all_0_16_16 = e3)
% 15.12/4.03 |
% 15.12/4.03 | Simplifying 1106 yields:
% 15.12/4.03 | (995) ~ (all_0_16_16 = e3)
% 15.12/4.03 |
% 15.12/4.03 | Equations (298) can reduce 1568 to:
% 15.12/4.03 | (132) ~ (e3 = e1)
% 15.12/4.04 |
% 15.12/4.04 | From (298) and (2) follows:
% 15.12/4.04 | (1577) op(e1, e4) = e3
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (3), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (316), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (317), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (318), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 15.12/4.04 |
% 15.12/4.04 | Applying alpha-rule on (319) yields:
% 15.12/4.04 | (320) ~ (all_0_8_8 = e2)
% 15.12/4.04 | (321) ~ (all_0_5_5 = e2)
% 15.12/4.04 | (322) ~ (all_0_11_11 = e2)
% 15.12/4.04 | (323) ~ (all_0_12_12 = e2)
% 15.12/4.04 | (324) ~ (all_0_20_20 = e2)
% 15.12/4.04 | (325) ~ (unit = e2)
% 15.12/4.04 | (326) ~ (all_0_14_14 = e2)
% 15.12/4.04 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 15.12/4.04 | (328) ~ (all_0_17_17 = e2)
% 15.12/4.04 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 15.12/4.04 | (330) all_0_1_1 = e4
% 15.12/4.04 |
% 15.12/4.04 | Combining equations (330,213) yields a new equation:
% 15.12/4.04 | (331) e4 = e1
% 15.12/4.04 |
% 15.12/4.04 | Simplifying 331 yields:
% 15.12/4.04 | (332) e4 = e1
% 15.12/4.04 |
% 15.12/4.04 | Equations (332) can reduce 210 to:
% 15.12/4.04 | (247) $false
% 15.12/4.04 |
% 15.12/4.04 |-The branch is then unsatisfiable
% 15.12/4.04 |-Branch two:
% 15.12/4.04 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 15.12/4.04 |
% 15.12/4.04 | Applying alpha-rule on (334) yields:
% 15.12/4.04 | (301) ~ (all_0_13_13 = e3)
% 15.12/4.04 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 15.12/4.04 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 15.12/4.04 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 15.12/4.04 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 15.12/4.04 | (340) ~ (all_0_15_15 = e3)
% 15.12/4.04 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 15.12/4.04 | (303) all_0_10_10 = e2
% 15.12/4.04 | (343) ~ (unit = e3)
% 15.12/4.04 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 15.12/4.04 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 15.12/4.04 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 15.12/4.04 |
% 15.12/4.04 | Equations (298) can reduce 301 to:
% 15.12/4.04 | (247) $false
% 15.12/4.04 |
% 15.12/4.04 |-The branch is then unsatisfiable
% 15.12/4.04 |-Branch two:
% 15.12/4.04 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 15.12/4.04 |
% 15.12/4.04 | Applying alpha-rule on (348) yields:
% 15.12/4.04 | (349) ~ (unit = e4)
% 15.12/4.04 | (350) ~ (all_0_6_6 = e4)
% 15.12/4.04 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 15.12/4.04 | (352) ~ (all_0_18_18 = e4)
% 15.12/4.04 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 15.12/4.04 | (354) ~ (all_0_0_0 = e4)
% 15.12/4.04 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.04 | (356) ~ (all_0_3_3 = e4)
% 15.12/4.04 | (224) all_0_13_13 = e1
% 15.12/4.04 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 15.12/4.04 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 15.12/4.04 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 15.12/4.04 |
% 15.12/4.04 | Combining equations (298,224) yields a new equation:
% 15.12/4.04 | (773) e3 = e1
% 15.12/4.04 |
% 15.12/4.04 | Simplifying 773 yields:
% 15.12/4.04 | (299) e3 = e1
% 15.12/4.04 |
% 15.12/4.04 | Equations (299) can reduce 132 to:
% 15.12/4.04 | (247) $false
% 15.12/4.04 |
% 15.12/4.04 |-The branch is then unsatisfiable
% 15.12/4.04 |-Branch two:
% 15.12/4.04 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 15.12/4.04 |
% 15.12/4.04 | Applying alpha-rule on (379) yields:
% 15.12/4.04 | (380) all_0_15_15 = e2
% 15.12/4.04 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 15.12/4.04 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 15.12/4.04 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 15.12/4.04 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 15.12/4.04 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 15.12/4.04 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 15.12/4.04 | (387) ~ (unit = e0)
% 15.12/4.04 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 15.12/4.04 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 15.12/4.04 | (390) ~ (all_0_10_10 = e0)
% 15.12/4.04 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 15.12/4.04 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 15.12/4.04 |
% 15.12/4.04 | Equations (380) can reduce 184 to:
% 15.12/4.04 | (326) ~ (all_0_14_14 = e2)
% 15.12/4.04 |
% 15.12/4.04 | From (380) and (112) follows:
% 15.12/4.04 | (1255) op(e1, e0) = e2
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (91), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (426) all_0_14_14 = e1
% 15.12/4.04 |
% 15.12/4.04 | Equations (426) can reduce 188 to:
% 15.12/4.04 | (214) ~ (all_0_0_0 = e1)
% 15.12/4.04 |
% 15.12/4.04 | Equations (426) can reduce 158 to:
% 15.12/4.04 | (1026) ~ (all_0_5_5 = e1)
% 15.12/4.04 |
% 15.12/4.04 | Equations (426) can reduce 93 to:
% 15.12/4.04 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.04 |
% 15.12/4.04 | Equations (426) can reduce 70 to:
% 15.12/4.04 | (128) ~ (e1 = e0)
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (150), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (233) all_0_5_5 = e1
% 15.12/4.04 |
% 15.12/4.04 | Equations (233) can reduce 1026 to:
% 15.12/4.04 | (247) $false
% 15.12/4.04 |
% 15.12/4.04 |-The branch is then unsatisfiable
% 15.12/4.04 |-Branch two:
% 15.12/4.04 | (1026) ~ (all_0_5_5 = e1)
% 15.12/4.04 | (1017) all_0_20_20 = e1
% 15.12/4.04 |
% 15.12/4.04 | Equations (1017) can reduce 72 to:
% 15.12/4.04 | (218) ~ (all_0_3_3 = e1)
% 15.12/4.04 |
% 15.12/4.04 | Equations (1017) can reduce 58 to:
% 15.12/4.04 | (1012) ~ (all_0_12_12 = e1)
% 15.12/4.04 |
% 15.12/4.04 | Equations (1017) can reduce 9 to:
% 15.12/4.04 | (231) ~ (all_0_16_16 = e1)
% 15.12/4.04 |
% 15.12/4.04 | Equations (1017) can reduce 92 to:
% 15.12/4.04 | (222) ~ (all_0_18_18 = e1)
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (381), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (554) ~ (all_0_11_11 = e0)
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (21), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (244) all_0_5_5 = e0
% 15.12/4.04 |
% 15.12/4.04 | Equations (244) can reduce 51 to:
% 15.12/4.04 | (913) ~ (all_0_0_0 = e0)
% 15.12/4.04 |
% 15.12/4.04 | Equations (244) can reduce 65 to:
% 15.12/4.04 | (558) ~ (all_0_4_4 = e0)
% 15.12/4.04 |
% 15.12/4.04 | Equations (244) can reduce 109 to:
% 15.12/4.04 | (709) ~ (all_0_7_7 = e0)
% 15.12/4.04 |
% 15.12/4.04 | Simplifying 709 yields:
% 15.12/4.04 | (710) ~ (all_0_7_7 = e0)
% 15.12/4.04 |
% 15.12/4.04 | Equations (244) can reduce 104 to:
% 15.12/4.04 | (711) ~ (all_0_8_8 = e0)
% 15.12/4.04 |
% 15.12/4.04 | Simplifying 711 yields:
% 15.12/4.04 | (712) ~ (all_0_8_8 = e0)
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (384), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (770) ~ (all_0_2_2 = e0)
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (162), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (767) all_0_2_2 = e0
% 15.12/4.04 |
% 15.12/4.04 | Equations (767) can reduce 770 to:
% 15.12/4.04 | (247) $false
% 15.12/4.04 |
% 15.12/4.04 |-The branch is then unsatisfiable
% 15.12/4.04 |-Branch two:
% 15.12/4.04 | (770) ~ (all_0_2_2 = e0)
% 15.12/4.04 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (771), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (778) all_0_7_7 = e0
% 15.12/4.04 |
% 15.12/4.04 | Equations (778) can reduce 710 to:
% 15.12/4.04 | (247) $false
% 15.12/4.04 |
% 15.12/4.04 |-The branch is then unsatisfiable
% 15.12/4.04 |-Branch two:
% 15.12/4.04 | (710) ~ (all_0_7_7 = e0)
% 15.12/4.04 | (783) all_0_11_11 = e0 | all_0_19_19 = e0
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (783), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (551) all_0_11_11 = e0
% 15.12/4.04 |
% 15.12/4.04 | Equations (551) can reduce 554 to:
% 15.12/4.04 | (247) $false
% 15.12/4.04 |
% 15.12/4.04 |-The branch is then unsatisfiable
% 15.12/4.04 |-Branch two:
% 15.12/4.04 | (554) ~ (all_0_11_11 = e0)
% 15.12/4.04 | (922) all_0_19_19 = e0
% 15.12/4.04 |
% 15.12/4.04 | Equations (922) can reduce 97 to:
% 15.12/4.04 | (770) ~ (all_0_2_2 = e0)
% 15.12/4.04 |
% 15.12/4.04 | Equations (922) can reduce 57 to:
% 15.12/4.04 | (1405) ~ (all_0_16_16 = e0)
% 15.12/4.04 |
% 15.12/4.04 | Equations (922) can reduce 207 to:
% 15.12/4.04 | (200) ~ (all_0_18_18 = e0)
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (37), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (254) all_0_16_16 = e1
% 15.12/4.04 |
% 15.12/4.04 | Equations (254) can reduce 231 to:
% 15.12/4.04 | (247) $false
% 15.12/4.04 |
% 15.12/4.04 |-The branch is then unsatisfiable
% 15.12/4.04 |-Branch two:
% 15.12/4.04 | (231) ~ (all_0_16_16 = e1)
% 15.12/4.04 | (1682) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e0
% 15.12/4.04 |
% 15.12/4.04 +-Applying beta-rule and splitting (13), into two cases.
% 15.12/4.04 |-Branch one:
% 15.12/4.04 | (536) all_0_4_4 = e0
% 15.12/4.04 |
% 15.12/4.04 | Equations (536) can reduce 558 to:
% 15.12/4.04 | (247) $false
% 15.12/4.04 |
% 15.12/4.04 |-The branch is then unsatisfiable
% 15.12/4.04 |-Branch two:
% 15.12/4.04 | (558) ~ (all_0_4_4 = e0)
% 15.12/4.04 | (563) all_0_9_9 = e0 | all_0_16_16 = e0
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (1682), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (1503) all_0_16_16 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (1503) can reduce 1405 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (1405) ~ (all_0_16_16 = e0)
% 15.12/4.05 | (1690) all_0_16_16 = e4 | all_0_16_16 = e3
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (11), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (435) all_0_16_16 = e3
% 15.12/4.05 |
% 15.12/4.05 | Equations (435) can reduce 995 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (995) ~ (all_0_16_16 = e3)
% 15.12/4.05 | (996) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (49), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (1371) all_0_2_2 = e1
% 15.12/4.05 |
% 15.12/4.05 | Equations (1371) can reduce 216 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (216) ~ (all_0_2_2 = e1)
% 15.12/4.05 | (1374) all_0_2_2 = e3 | all_0_2_2 = e0
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (1374), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (767) all_0_2_2 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (767) can reduce 770 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (770) ~ (all_0_2_2 = e0)
% 15.12/4.05 | (755) all_0_2_2 = e3
% 15.12/4.05 |
% 15.12/4.05 | Equations (755) can reduce 25 to:
% 15.12/4.05 | (1188) ~ (all_0_0_0 = e3)
% 15.12/4.05 |
% 15.12/4.05 | Equations (755) can reduce 85 to:
% 15.12/4.05 | (1704) ~ (all_0_7_7 = e3)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 1704 yields:
% 15.12/4.05 | (787) ~ (all_0_7_7 = e3)
% 15.12/4.05 |
% 15.12/4.05 | Equations (755) can reduce 48 to:
% 15.12/4.05 | (756) ~ (all_0_11_11 = e3)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 756 yields:
% 15.12/4.05 | (66) ~ (all_0_11_11 = e3)
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (38), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (692) all_0_0_0 = e1
% 15.12/4.05 |
% 15.12/4.05 | Equations (692) can reduce 214 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (214) ~ (all_0_0_0 = e1)
% 15.12/4.05 | (695) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e0
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (695), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (795) all_0_0_0 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (795) can reduce 913 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (913) ~ (all_0_0_0 = e0)
% 15.12/4.05 | (1167) all_0_0_0 = e4 | all_0_0_0 = e3
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (1167), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (1168) all_0_0_0 = e3
% 15.12/4.05 |
% 15.12/4.05 | Equations (1168) can reduce 1188 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (1188) ~ (all_0_0_0 = e3)
% 15.12/4.05 | (927) all_0_0_0 = e4
% 15.12/4.05 |
% 15.12/4.05 | Equations (927) can reduce 127 to:
% 15.12/4.05 | (1720) ~ (all_0_10_10 = e4)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 1720 yields:
% 15.12/4.05 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.05 |
% 15.12/4.05 | Equations (927) can reduce 913 to:
% 15.12/4.05 | (7) ~ (e4 = e0)
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (563), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (543) all_0_9_9 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (543) can reduce 6 to:
% 15.12/4.05 | (558) ~ (all_0_4_4 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Equations (543) can reduce 176 to:
% 15.12/4.05 | (579) ~ (all_0_10_10 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 579 yields:
% 15.12/4.05 | (390) ~ (all_0_10_10 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Equations (543) can reduce 180 to:
% 15.12/4.05 | (1727) ~ (all_0_11_11 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 1727 yields:
% 15.12/4.05 | (554) ~ (all_0_11_11 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Equations (543) can reduce 183 to:
% 15.12/4.05 | (1417) ~ (all_0_12_12 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 1417 yields:
% 15.12/4.05 | (1418) ~ (all_0_12_12 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Equations (543) can reduce 142 to:
% 15.12/4.05 | (713) ~ (e3 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 713 yields:
% 15.12/4.05 | (64) ~ (e3 = e0)
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (170), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (602) all_0_9_9 = e4
% 15.12/4.05 |
% 15.12/4.05 | Combining equations (543,602) yields a new equation:
% 15.12/4.05 | (911) e4 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (911) can reduce 7 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (577) ~ (all_0_9_9 = e4)
% 15.12/4.05 | (957) all_0_10_10 = e4 | all_0_12_12 = e4
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (957), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (589) all_0_10_10 = e4
% 15.12/4.05 |
% 15.12/4.05 | Equations (589) can reduce 355 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.05 | (594) all_0_12_12 = e4
% 15.12/4.05 |
% 15.12/4.05 | Equations (594) can reduce 45 to:
% 15.12/4.05 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.05 |
% 15.12/4.05 | Equations (594) can reduce 1418 to:
% 15.12/4.05 | (7) ~ (e4 = e0)
% 15.12/4.05 |
% 15.12/4.05 | From (594) and (19) follows:
% 15.12/4.05 | (1744) op(e2, e0) = e4
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (52), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (795) all_0_0_0 = e0
% 15.12/4.05 |
% 15.12/4.05 | Combining equations (795,927) yields a new equation:
% 15.12/4.05 | (911) e4 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (911) can reduce 7 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (913) ~ (all_0_0_0 = e0)
% 15.12/4.05 | (914) all_0_2_2 = e0 | all_0_3_3 = e0
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (185), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (572) all_0_4_4 = e3
% 15.12/4.05 |
% 15.12/4.05 | Equations (572) can reduce 436 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (436) ~ (all_0_4_4 = e3)
% 15.12/4.05 | (764) all_0_5_5 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (764), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (772) all_0_5_5 = e3
% 15.12/4.05 |
% 15.12/4.05 | Combining equations (772,244) yields a new equation:
% 15.12/4.05 | (1006) e3 = e0
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 1006 yields:
% 15.12/4.05 | (761) e3 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (761) can reduce 64 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (776) ~ (all_0_5_5 = e3)
% 15.12/4.05 | (777) all_0_7_7 = e3 | all_0_8_8 = e3
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (777), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (784) all_0_7_7 = e3
% 15.12/4.05 |
% 15.12/4.05 | Equations (784) can reduce 787 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (787) ~ (all_0_7_7 = e3)
% 15.12/4.05 | (788) all_0_8_8 = e3
% 15.12/4.05 |
% 15.12/4.05 | Equations (788) can reduce 20 to:
% 15.12/4.05 | (789) ~ (all_0_3_3 = e3)
% 15.12/4.05 |
% 15.12/4.05 | Equations (788) can reduce 129 to:
% 15.12/4.05 | (436) ~ (all_0_4_4 = e3)
% 15.12/4.05 |
% 15.12/4.05 | Equations (788) can reduce 712 to:
% 15.12/4.05 | (64) ~ (e3 = e0)
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (914), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (767) all_0_2_2 = e0
% 15.12/4.05 |
% 15.12/4.05 | Combining equations (767,755) yields a new equation:
% 15.12/4.05 | (761) e3 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (761) can reduce 64 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (770) ~ (all_0_2_2 = e0)
% 15.12/4.05 | (919) all_0_3_3 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (919) can reduce 789 to:
% 15.12/4.05 | (713) ~ (e3 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 713 yields:
% 15.12/4.05 | (64) ~ (e3 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Equations (919) can reduce 218 to:
% 15.12/4.05 | (541) ~ (e1 = e0)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 541 yields:
% 15.12/4.05 | (128) ~ (e1 = e0)
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (67), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (564) all_0_4_4 = e1
% 15.12/4.05 |
% 15.12/4.05 | Equations (564) can reduce 76 to:
% 15.12/4.05 | (230) ~ (all_0_16_16 = e1)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 230 yields:
% 15.12/4.05 | (231) ~ (all_0_16_16 = e1)
% 15.12/4.05 |
% 15.12/4.05 | From (564) and (4) follows:
% 15.12/4.05 | (1779) op(e3, e4) = e1
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (30), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (581) all_0_10_10 = e1
% 15.12/4.05 |
% 15.12/4.05 | Equations (581) can reduce 286 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.05 | (584) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e0
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (584), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (547) all_0_10_10 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (547) can reduce 390 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (390) ~ (all_0_10_10 = e0)
% 15.12/4.05 | (588) all_0_10_10 = e4 | all_0_10_10 = e2
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (588), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (589) all_0_10_10 = e4
% 15.12/4.05 |
% 15.12/4.05 | Equations (589) can reduce 355 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.05 | (303) all_0_10_10 = e2
% 15.12/4.05 |
% 15.12/4.05 | Equations (303) can reduce 202 to:
% 15.12/4.05 | (645) ~ (all_0_11_11 = e2)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 645 yields:
% 15.12/4.05 | (322) ~ (all_0_11_11 = e2)
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (124), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (1794) all_0_11_11 = e1
% 15.12/4.05 |
% 15.12/4.05 | Equations (1794) can reduce 23 to:
% 15.12/4.05 | (276) ~ (all_0_7_7 = e1)
% 15.12/4.05 |
% 15.12/4.05 | Equations (1794) can reduce 66 to:
% 15.12/4.05 | (287) ~ (e3 = e1)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 287 yields:
% 15.12/4.05 | (132) ~ (e3 = e1)
% 15.12/4.05 |
% 15.12/4.05 | Equations (1794) can reduce 554 to:
% 15.12/4.05 | (128) ~ (e1 = e0)
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (1690), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (435) all_0_16_16 = e3
% 15.12/4.05 |
% 15.12/4.05 | Equations (435) can reduce 995 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (995) ~ (all_0_16_16 = e3)
% 15.12/4.05 | (1500) all_0_16_16 = e4
% 15.12/4.05 |
% 15.12/4.05 | Equations (1500) can reduce 5 to:
% 15.12/4.05 | (1803) ~ (all_0_18_18 = e4)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 1803 yields:
% 15.12/4.05 | (352) ~ (all_0_18_18 = e4)
% 15.12/4.05 |
% 15.12/4.05 | Equations (1500) can reduce 995 to:
% 15.12/4.05 | (24) ~ (e4 = e3)
% 15.12/4.05 |
% 15.12/4.05 | Equations (1500) can reduce 231 to:
% 15.12/4.05 | (210) ~ (e4 = e1)
% 15.12/4.05 |
% 15.12/4.05 | From (1500) and (78) follows:
% 15.12/4.05 | (1807) op(e0, e4) = e4
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (96), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (270) all_0_18_18 = e1
% 15.12/4.05 |
% 15.12/4.05 | Equations (270) can reduce 222 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (222) ~ (all_0_18_18 = e1)
% 15.12/4.05 | (364) all_0_18_18 = e4 | all_0_18_18 = e2
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (212), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (1168) all_0_0_0 = e3
% 15.12/4.05 |
% 15.12/4.05 | Combining equations (1168,927) yields a new equation:
% 15.12/4.05 | (873) e4 = e3
% 15.12/4.05 |
% 15.12/4.05 | Equations (873) can reduce 24 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (1188) ~ (all_0_0_0 = e3)
% 15.12/4.05 | (1816) all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (1816), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (772) all_0_5_5 = e3
% 15.12/4.05 |
% 15.12/4.05 | Combining equations (244,772) yields a new equation:
% 15.12/4.05 | (761) e3 = e0
% 15.12/4.05 |
% 15.12/4.05 | Equations (761) can reduce 64 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (776) ~ (all_0_5_5 = e3)
% 15.12/4.05 | (1821) all_0_14_14 = e3 | all_0_17_17 = e3
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (1821), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (310) all_0_14_14 = e3
% 15.12/4.05 |
% 15.12/4.05 | Combining equations (426,310) yields a new equation:
% 15.12/4.05 | (299) e3 = e1
% 15.12/4.05 |
% 15.12/4.05 | Equations (299) can reduce 132 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (313) ~ (all_0_14_14 = e3)
% 15.12/4.05 | (684) all_0_17_17 = e3
% 15.12/4.05 |
% 15.12/4.05 | Equations (684) can reduce 121 to:
% 15.12/4.05 | (439) ~ (all_0_18_18 = e3)
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 439 yields:
% 15.12/4.05 | (145) ~ (all_0_18_18 = e3)
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (201), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (330) all_0_1_1 = e4
% 15.12/4.05 |
% 15.12/4.05 | Combining equations (330,213) yields a new equation:
% 15.12/4.05 | (331) e4 = e1
% 15.12/4.05 |
% 15.12/4.05 | Simplifying 331 yields:
% 15.12/4.05 | (332) e4 = e1
% 15.12/4.05 |
% 15.12/4.05 | Equations (332) can reduce 210 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (452) ~ (all_0_1_1 = e4)
% 15.12/4.05 | (453) all_0_6_6 = e4 | all_0_18_18 = e4
% 15.12/4.05 |
% 15.12/4.05 +-Applying beta-rule and splitting (364), into two cases.
% 15.12/4.05 |-Branch one:
% 15.12/4.05 | (365) all_0_18_18 = e4
% 15.12/4.05 |
% 15.12/4.05 | Equations (365) can reduce 352 to:
% 15.12/4.05 | (247) $false
% 15.12/4.05 |
% 15.12/4.05 |-The branch is then unsatisfiable
% 15.12/4.05 |-Branch two:
% 15.12/4.05 | (352) ~ (all_0_18_18 = e4)
% 15.12/4.06 | (368) all_0_18_18 = e2
% 15.12/4.06 |
% 15.12/4.06 | Equations (368) can reduce 56 to:
% 15.12/4.06 | (369) ~ (all_0_6_6 = e2)
% 15.12/4.06 |
% 15.12/4.06 | Equations (368) can reduce 352 to:
% 15.12/4.06 | (467) ~ (e4 = e2)
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 467 yields:
% 15.12/4.06 | (194) ~ (e4 = e2)
% 15.12/4.06 |
% 15.12/4.06 | Equations (368) can reduce 145 to:
% 15.12/4.06 | (308) ~ (e3 = e2)
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 308 yields:
% 15.12/4.06 | (191) ~ (e3 = e2)
% 15.12/4.06 |
% 15.12/4.06 | Equations (368) can reduce 200 to:
% 15.12/4.06 | (47) ~ (e2 = e0)
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (453), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (374) all_0_6_6 = e4
% 15.12/4.06 |
% 15.12/4.06 | Equations (374) can reduce 369 to:
% 15.12/4.06 | (194) ~ (e4 = e2)
% 15.12/4.06 |
% 15.12/4.06 | From (374) and (100) follows:
% 15.12/4.06 | (1847) op(e3, e2) = e4
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (95), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (638) all_0_5_5 = e2
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (244,638) yields a new equation:
% 15.12/4.06 | (552) e2 = e0
% 15.12/4.06 |
% 15.12/4.06 | Equations (552) can reduce 47 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (321) ~ (all_0_5_5 = e2)
% 15.12/4.06 | (722) all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (722), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (377) all_0_6_6 = e2
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (374,377) yields a new equation:
% 15.12/4.06 | (470) e4 = e2
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 470 yields:
% 15.12/4.06 | (471) e4 = e2
% 15.12/4.06 |
% 15.12/4.06 | Equations (471) can reduce 194 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (369) ~ (all_0_6_6 = e2)
% 15.12/4.06 | (727) all_0_7_7 = e2 | all_0_8_8 = e2
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (727), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (634) all_0_7_7 = e2
% 15.12/4.06 |
% 15.12/4.06 | Equations (634) can reduce 276 to:
% 15.12/4.06 | (138) ~ (e2 = e1)
% 15.12/4.06 |
% 15.12/4.06 | From (634) and (39) follows:
% 15.12/4.06 | (1861) op(e3, e1) = e2
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (59), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (1434) unit = e1
% 15.12/4.06 |
% 15.12/4.06 | Equations (1434) can reduce 387 to:
% 15.12/4.06 | (128) ~ (e1 = e0)
% 15.12/4.06 |
% 15.12/4.06 | From (1434) and (141) follows:
% 15.12/4.06 | (1864) op(e1, e4) = e4
% 15.12/4.06 |
% 15.12/4.06 | From (1434) and (46) follows:
% 15.12/4.06 | (1435) op(e1, e0) = e0
% 15.12/4.06 |
% 15.12/4.06 | From (1434) and (159) follows:
% 15.12/4.06 | (1866) op(e3, e1) = e3
% 15.12/4.06 |
% 15.12/4.06 | From (1434) and (186) follows:
% 15.12/4.06 | (1867) op(e1, e1) = e1
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 15.12/4.06 | (311) e3 = e2
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields:
% 15.12/4.06 | (873) e4 = e3
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields:
% 15.12/4.06 | (332) e4 = e1
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields:
% 15.12/4.06 | (552) e2 = e0
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (873,332) yields a new equation:
% 15.12/4.06 | (773) e3 = e1
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 773 yields:
% 15.12/4.06 | (299) e3 = e1
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (299,311) yields a new equation:
% 15.12/4.06 | (420) e2 = e1
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (420,552) yields a new equation:
% 15.12/4.06 | (245) e1 = e0
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 245 yields:
% 15.12/4.06 | (246) e1 = e0
% 15.12/4.06 |
% 15.12/4.06 | Equations (246) can reduce 128 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (1438) ~ (unit = e1)
% 15.12/4.06 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (1439), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (1440) unit = e0
% 15.12/4.06 |
% 15.12/4.06 | Equations (1440) can reduce 387 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (387) ~ (unit = e0)
% 15.12/4.06 | (1443) unit = e4 | unit = e3 | unit = e2
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (1443), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (1444) unit = e3
% 15.12/4.06 |
% 15.12/4.06 | From (1444) and (141) follows:
% 15.12/4.06 | (1431) op(e3, e4) = e4
% 15.12/4.06 |
% 15.12/4.06 | From (1444) and (199) follows:
% 15.12/4.06 | (1886) op(e3, e2) = e2
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e3, e4, e4, e1 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e1, yields:
% 15.12/4.06 | (332) e4 = e1
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields:
% 15.12/4.06 | (471) e4 = e2
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (471,332) yields a new equation:
% 15.12/4.06 | (629) e2 = e1
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 629 yields:
% 15.12/4.06 | (420) e2 = e1
% 15.12/4.06 |
% 15.12/4.06 | Equations (420) can reduce 138 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (343) ~ (unit = e3)
% 15.12/4.06 | (1453) unit = e4 | unit = e2
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (1453), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (1454) unit = e4
% 15.12/4.06 |
% 15.12/4.06 | From (1454) and (199) follows:
% 15.12/4.06 | (1455) op(e4, e2) = e2
% 15.12/4.06 |
% 15.12/4.06 | From (1454) and (15) follows:
% 15.12/4.06 | (1456) op(e4, e4) = e4
% 15.12/4.06 |
% 15.12/4.06 | From (1454) and (108) follows:
% 15.12/4.06 | (1458) op(e0, e4) = e0
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields:
% 15.12/4.06 | (471) e4 = e2
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields:
% 15.12/4.06 | (420) e2 = e1
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields:
% 15.12/4.06 | (911) e4 = e0
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (471,911) yields a new equation:
% 15.12/4.06 | (779) e2 = e0
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 779 yields:
% 15.12/4.06 | (552) e2 = e0
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (420,552) yields a new equation:
% 15.12/4.06 | (245) e1 = e0
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 245 yields:
% 15.12/4.06 | (246) e1 = e0
% 15.12/4.06 |
% 15.12/4.06 | Equations (246) can reduce 128 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (349) ~ (unit = e4)
% 15.12/4.06 | (1470) unit = e2
% 15.12/4.06 |
% 15.12/4.06 | From (1470) and (46) follows:
% 15.12/4.06 | (1908) op(e2, e0) = e0
% 15.12/4.06 |
% 15.12/4.06 | From (1470) and (15) follows:
% 15.12/4.06 | (1471) op(e4, e2) = e4
% 15.12/4.06 |
% 15.12/4.06 | From (1470) and (159) follows:
% 15.12/4.06 | (1910) op(e3, e2) = e3
% 15.12/4.06 |
% 15.12/4.06 | From (1470) and (151) follows:
% 15.12/4.06 | (1911) op(e2, e2) = e2
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields:
% 15.12/4.06 | (332) e4 = e1
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields:
% 15.12/4.06 | (873) e4 = e3
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 15.12/4.06 | (311) e3 = e2
% 15.12/4.06 |
% 15.12/4.06 | Instantiating formula (120) with e2, e0, e0, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e0, yields:
% 15.12/4.06 | (911) e4 = e0
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (332,873) yields a new equation:
% 15.12/4.06 | (299) e3 = e1
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (911,873) yields a new equation:
% 15.12/4.06 | (761) e3 = e0
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (761,311) yields a new equation:
% 15.12/4.06 | (552) e2 = e0
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (299,311) yields a new equation:
% 15.12/4.06 | (420) e2 = e1
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (420,552) yields a new equation:
% 15.12/4.06 | (245) e1 = e0
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 245 yields:
% 15.12/4.06 | (246) e1 = e0
% 15.12/4.06 |
% 15.12/4.06 | Equations (246) can reduce 128 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (444) ~ (all_0_7_7 = e2)
% 15.12/4.06 | (954) all_0_8_8 = e2
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (954,788) yields a new equation:
% 15.12/4.06 | (311) e3 = e2
% 15.12/4.06 |
% 15.12/4.06 | Equations (311) can reduce 191 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (350) ~ (all_0_6_6 = e4)
% 15.12/4.06 | (365) all_0_18_18 = e4
% 15.12/4.06 |
% 15.12/4.06 | Combining equations (365,368) yields a new equation:
% 15.12/4.06 | (470) e4 = e2
% 15.12/4.06 |
% 15.12/4.06 | Simplifying 470 yields:
% 15.12/4.06 | (471) e4 = e2
% 15.12/4.06 |
% 15.12/4.06 | Equations (471) can reduce 194 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (1075) ~ (all_0_11_11 = e1)
% 15.12/4.06 | (1933) all_0_11_11 = e2 | all_0_11_11 = e0
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (1933), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (551) all_0_11_11 = e0
% 15.12/4.06 |
% 15.12/4.06 | Equations (551) can reduce 554 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (554) ~ (all_0_11_11 = e0)
% 15.12/4.06 | (307) all_0_11_11 = e2
% 15.12/4.06 |
% 15.12/4.06 | Equations (307) can reduce 322 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (225) ~ (all_0_4_4 = e1)
% 15.12/4.06 | (1940) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_16_16 = e1
% 15.12/4.06 |
% 15.12/4.06 +-Applying beta-rule and splitting (22), into two cases.
% 15.12/4.06 |-Branch one:
% 15.12/4.06 | (564) all_0_4_4 = e1
% 15.12/4.06 |
% 15.12/4.06 | Equations (564) can reduce 225 to:
% 15.12/4.06 | (247) $false
% 15.12/4.06 |
% 15.12/4.06 |-The branch is then unsatisfiable
% 15.12/4.06 |-Branch two:
% 15.12/4.06 | (225) ~ (all_0_4_4 = e1)
% 15.12/4.06 | (1045) all_0_5_5 = e1 | all_0_6_6 = e1 | all_0_7_7 = e1 | all_0_8_8 = e1
% 15.12/4.06 |
% 15.12/4.07 +-Applying beta-rule and splitting (1045), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (233) all_0_5_5 = e1
% 15.12/4.07 |
% 15.12/4.07 | Combining equations (233,244) yields a new equation:
% 15.12/4.07 | (245) e1 = e0
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 245 yields:
% 15.12/4.07 | (246) e1 = e0
% 15.12/4.07 |
% 15.12/4.07 | Equations (246) can reduce 128 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (1026) ~ (all_0_5_5 = e1)
% 15.12/4.07 | (1050) all_0_6_6 = e1 | all_0_7_7 = e1 | all_0_8_8 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (244) can reduce 1026 to:
% 15.12/4.07 | (541) ~ (e1 = e0)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 541 yields:
% 15.12/4.07 | (128) ~ (e1 = e0)
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (1940), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (289) all_0_9_9 = e1
% 15.12/4.07 |
% 15.12/4.07 | Combining equations (543,289) yields a new equation:
% 15.12/4.07 | (246) e1 = e0
% 15.12/4.07 |
% 15.12/4.07 | Equations (246) can reduce 128 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (285) ~ (all_0_9_9 = e1)
% 15.12/4.07 | (1957) all_0_13_13 = e1 | all_0_16_16 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (543) can reduce 285 to:
% 15.12/4.07 | (541) ~ (e1 = e0)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 541 yields:
% 15.12/4.07 | (128) ~ (e1 = e0)
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (148), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (564) all_0_4_4 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (564) can reduce 225 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (225) ~ (all_0_4_4 = e1)
% 15.12/4.07 | (567) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e0
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (567), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (536) all_0_4_4 = e0
% 15.12/4.07 |
% 15.12/4.07 | Equations (536) can reduce 558 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (558) ~ (all_0_4_4 = e0)
% 15.12/4.07 | (571) all_0_4_4 = e4 | all_0_4_4 = e3
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (571), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (572) all_0_4_4 = e3
% 15.12/4.07 |
% 15.12/4.07 | Equations (572) can reduce 436 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (436) ~ (all_0_4_4 = e3)
% 15.12/4.07 | (575) all_0_4_4 = e4
% 15.12/4.07 |
% 15.12/4.07 | Equations (575) can reduce 225 to:
% 15.12/4.07 | (210) ~ (e4 = e1)
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (182), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (289) all_0_9_9 = e1
% 15.12/4.07 |
% 15.12/4.07 | Combining equations (543,289) yields a new equation:
% 15.12/4.07 | (246) e1 = e0
% 15.12/4.07 |
% 15.12/4.07 | Equations (246) can reduce 128 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (285) ~ (all_0_9_9 = e1)
% 15.12/4.07 | (1977) all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (1977), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (581) all_0_10_10 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (581) can reduce 286 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.07 | (1981) all_0_11_11 = e1 | all_0_12_12 = e1
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (1981), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (1794) all_0_11_11 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (1794) can reduce 66 to:
% 15.12/4.07 | (287) ~ (e3 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 287 yields:
% 15.12/4.07 | (132) ~ (e3 = e1)
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (1957), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (224) all_0_13_13 = e1
% 15.12/4.07 |
% 15.12/4.07 | Combining equations (224,298) yields a new equation:
% 15.12/4.07 | (299) e3 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (299) can reduce 132 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (1568) ~ (all_0_13_13 = e1)
% 15.12/4.07 | (254) all_0_16_16 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (254) can reduce 231 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (1075) ~ (all_0_11_11 = e1)
% 15.12/4.07 | (282) all_0_12_12 = e1
% 15.12/4.07 |
% 15.12/4.07 | Combining equations (594,282) yields a new equation:
% 15.12/4.07 | (331) e4 = e1
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 331 yields:
% 15.12/4.07 | (332) e4 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (332) can reduce 210 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (538) ~ (all_0_9_9 = e0)
% 15.12/4.07 | (1503) all_0_16_16 = e0
% 15.12/4.07 |
% 15.12/4.07 | Equations (1503) can reduce 1405 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (767) all_0_2_2 = e0
% 15.12/4.07 | (258) all_0_3_3 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (258) can reduce 218 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (248) ~ (all_0_5_5 = e0)
% 15.12/4.07 | (249) all_0_20_20 = e0
% 15.12/4.07 |
% 15.12/4.07 | Combining equations (249,1017) yields a new equation:
% 15.12/4.07 | (246) e1 = e0
% 15.12/4.07 |
% 15.12/4.07 | Equations (246) can reduce 128 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (551) all_0_11_11 = e0
% 15.12/4.07 | (282) all_0_12_12 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (282) can reduce 1012 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (227) ~ (all_0_14_14 = e1)
% 15.12/4.07 | (429) all_0_14_14 = e3 | all_0_14_14 = e2
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (429), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (310) all_0_14_14 = e3
% 15.12/4.07 |
% 15.12/4.07 | Equations (310) can reduce 313 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (313) ~ (all_0_14_14 = e3)
% 15.12/4.07 | (293) all_0_14_14 = e2
% 15.12/4.07 |
% 15.12/4.07 | Equations (293) can reduce 326 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 15.12/4.07 |
% 15.12/4.07 | Applying alpha-rule on (395) yields:
% 15.12/4.07 | (396) ~ (all_0_1_1 = e1)
% 15.12/4.07 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 15.12/4.07 | (227) ~ (all_0_14_14 = e1)
% 15.12/4.07 | (225) ~ (all_0_4_4 = e1)
% 15.12/4.07 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 15.12/4.07 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 15.12/4.07 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 15.12/4.07 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 15.12/4.07 | (231) ~ (all_0_16_16 = e1)
% 15.12/4.07 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 15.12/4.07 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.07 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 15.12/4.07 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 15.12/4.07 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 15.12/4.07 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 15.12/4.07 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 15.12/4.07 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 15.12/4.07 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 15.12/4.07 | (285) ~ (all_0_9_9 = e1)
% 15.12/4.07 | (229) ~ (all_0_15_15 = e1)
% 15.12/4.07 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 15.12/4.07 |
% 15.12/4.07 | Equations (213) can reduce 396 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (396) ~ (all_0_1_1 = e1)
% 15.12/4.07 | (330) all_0_1_1 = e4
% 15.12/4.07 |
% 15.12/4.07 | Equations (330) can reduce 161 to:
% 15.12/4.07 | (354) ~ (all_0_0_0 = e4)
% 15.12/4.07 |
% 15.12/4.07 | Equations (330) can reduce 140 to:
% 15.12/4.07 | (2042) ~ (all_0_2_2 = e4)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 2042 yields:
% 15.12/4.07 | (82) ~ (all_0_2_2 = e4)
% 15.12/4.07 |
% 15.12/4.07 | Equations (330) can reduce 190 to:
% 15.12/4.07 | (2044) ~ (all_0_3_3 = e4)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 2044 yields:
% 15.12/4.07 | (356) ~ (all_0_3_3 = e4)
% 15.12/4.07 |
% 15.12/4.07 | Equations (330) can reduce 54 to:
% 15.12/4.07 | (2046) ~ (all_0_6_6 = e4)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 2046 yields:
% 15.12/4.07 | (350) ~ (all_0_6_6 = e4)
% 15.12/4.07 |
% 15.12/4.07 | Equations (330) can reduce 86 to:
% 15.12/4.07 | (1803) ~ (all_0_18_18 = e4)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 1803 yields:
% 15.12/4.07 | (352) ~ (all_0_18_18 = e4)
% 15.12/4.07 |
% 15.12/4.07 | Equations (330) can reduce 396 to:
% 15.12/4.07 | (210) ~ (e4 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (330) can reduce 119 to:
% 15.12/4.07 | (7) ~ (e4 = e0)
% 15.12/4.07 |
% 15.12/4.07 | From (330) and (90) follows:
% 15.12/4.07 | (1471) op(e4, e2) = e4
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (167), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (224) all_0_13_13 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (224) can reduce 135 to:
% 15.12/4.07 | (285) ~ (all_0_9_9 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (224) can reduce 68 to:
% 15.12/4.07 | (279) ~ (e4 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 279 yields:
% 15.12/4.07 | (210) ~ (e4 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (224) can reduce 178 to:
% 15.12/4.07 | (2057) ~ (e2 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 2057 yields:
% 15.12/4.07 | (138) ~ (e2 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (224) can reduce 192 to:
% 15.12/4.07 | (128) ~ (e1 = e0)
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (150), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (233) all_0_5_5 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (233) can reduce 51 to:
% 15.12/4.07 | (214) ~ (all_0_0_0 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (233) can reduce 65 to:
% 15.12/4.07 | (225) ~ (all_0_4_4 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (233) can reduce 133 to:
% 15.12/4.07 | (219) ~ (all_0_6_6 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 219 yields:
% 15.12/4.07 | (220) ~ (all_0_6_6 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (233) can reduce 109 to:
% 15.12/4.07 | (2065) ~ (all_0_7_7 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 2065 yields:
% 15.12/4.07 | (276) ~ (all_0_7_7 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (233) can reduce 104 to:
% 15.12/4.07 | (238) ~ (all_0_8_8 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 238 yields:
% 15.12/4.07 | (239) ~ (all_0_8_8 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (233) can reduce 165 to:
% 15.12/4.07 | (2069) ~ (all_0_10_10 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 2069 yields:
% 15.12/4.07 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Equations (233) can reduce 158 to:
% 15.12/4.07 | (226) ~ (all_0_14_14 = e1)
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 226 yields:
% 15.12/4.07 | (227) ~ (all_0_14_14 = e1)
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (21), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (244) all_0_5_5 = e0
% 15.12/4.07 |
% 15.12/4.07 | Combining equations (233,244) yields a new equation:
% 15.12/4.07 | (245) e1 = e0
% 15.12/4.07 |
% 15.12/4.07 | Simplifying 245 yields:
% 15.12/4.07 | (246) e1 = e0
% 15.12/4.07 |
% 15.12/4.07 | Equations (246) can reduce 128 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (248) ~ (all_0_5_5 = e0)
% 15.12/4.07 | (249) all_0_20_20 = e0
% 15.12/4.07 |
% 15.12/4.07 | Equations (249) can reduce 72 to:
% 15.12/4.07 | (250) ~ (all_0_3_3 = e0)
% 15.12/4.07 |
% 15.12/4.07 | Equations (249) can reduce 79 to:
% 15.12/4.07 | (712) ~ (all_0_8_8 = e0)
% 15.12/4.07 |
% 15.12/4.07 | Equations (249) can reduce 58 to:
% 15.12/4.07 | (1418) ~ (all_0_12_12 = e0)
% 15.12/4.07 |
% 15.12/4.07 | Equations (249) can reduce 9 to:
% 15.12/4.07 | (1405) ~ (all_0_16_16 = e0)
% 15.12/4.07 |
% 15.12/4.07 | Equations (249) can reduce 92 to:
% 15.12/4.07 | (200) ~ (all_0_18_18 = e0)
% 15.12/4.07 |
% 15.12/4.07 | Equations (249) can reduce 139 to:
% 15.12/4.07 | (253) ~ (all_0_19_19 = e0)
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (81), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (370) all_0_6_6 = e1
% 15.12/4.07 |
% 15.12/4.07 | Equations (370) can reduce 220 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (220) ~ (all_0_6_6 = e1)
% 15.12/4.07 | (373) all_0_6_6 = e4 | all_0_6_6 = e2
% 15.12/4.07 |
% 15.12/4.07 +-Applying beta-rule and splitting (373), into two cases.
% 15.12/4.07 |-Branch one:
% 15.12/4.07 | (374) all_0_6_6 = e4
% 15.12/4.07 |
% 15.12/4.07 | Equations (374) can reduce 350 to:
% 15.12/4.07 | (247) $false
% 15.12/4.07 |
% 15.12/4.07 |-The branch is then unsatisfiable
% 15.12/4.07 |-Branch two:
% 15.12/4.07 | (350) ~ (all_0_6_6 = e4)
% 15.12/4.08 | (377) all_0_6_6 = e2
% 15.12/4.08 |
% 15.12/4.08 | Equations (377) can reduce 10 to:
% 15.12/4.08 | (187) ~ (all_0_4_4 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (377) can reduce 164 to:
% 15.12/4.08 | (443) ~ (all_0_7_7 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 443 yields:
% 15.12/4.08 | (444) ~ (all_0_7_7 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (377) can reduce 131 to:
% 15.12/4.08 | (730) ~ (all_0_8_8 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 730 yields:
% 15.12/4.08 | (320) ~ (all_0_8_8 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (377) can reduce 160 to:
% 15.12/4.08 | (308) ~ (e3 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 308 yields:
% 15.12/4.08 | (191) ~ (e3 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (377) can reduce 220 to:
% 15.12/4.08 | (138) ~ (e2 = e1)
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (106), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (213) all_0_1_1 = e1
% 15.12/4.08 |
% 15.12/4.08 | Combining equations (213,330) yields a new equation:
% 15.12/4.08 | (332) e4 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (332) can reduce 210 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (396) ~ (all_0_1_1 = e1)
% 15.12/4.08 | (2105) all_0_6_6 = e1 | all_0_18_18 = e1
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (2105), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (370) all_0_6_6 = e1
% 15.12/4.08 |
% 15.12/4.08 | Combining equations (377,370) yields a new equation:
% 15.12/4.08 | (629) e2 = e1
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 629 yields:
% 15.12/4.08 | (420) e2 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (420) can reduce 138 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (220) ~ (all_0_6_6 = e1)
% 15.12/4.08 | (270) all_0_18_18 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (270) can reduce 5 to:
% 15.12/4.08 | (231) ~ (all_0_16_16 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (270) can reduce 207 to:
% 15.12/4.08 | (2113) ~ (all_0_19_19 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 2113 yields:
% 15.12/4.08 | (1021) ~ (all_0_19_19 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (270) can reduce 352 to:
% 15.12/4.08 | (279) ~ (e4 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 279 yields:
% 15.12/4.08 | (210) ~ (e4 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (270) can reduce 145 to:
% 15.12/4.08 | (287) ~ (e3 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 287 yields:
% 15.12/4.08 | (132) ~ (e3 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (270) can reduce 200 to:
% 15.12/4.08 | (128) ~ (e1 = e0)
% 15.12/4.08 |
% 15.12/4.08 | From (270) and (63) follows:
% 15.12/4.08 | (2120) op(e0, e2) = e1
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (116), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (293) all_0_14_14 = e2
% 15.12/4.08 |
% 15.12/4.08 | Equations (293) can reduce 184 to:
% 15.12/4.08 | (295) ~ (all_0_15_15 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 295 yields:
% 15.12/4.08 | (296) ~ (all_0_15_15 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (293) can reduce 198 to:
% 15.12/4.08 | (1084) ~ (all_0_17_17 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 1084 yields:
% 15.12/4.08 | (328) ~ (all_0_17_17 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (293) can reduce 227 to:
% 15.12/4.08 | (138) ~ (e2 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (293) can reduce 70 to:
% 15.12/4.08 | (47) ~ (e2 = e0)
% 15.12/4.08 |
% 15.12/4.08 | From (293) and (105) follows:
% 15.12/4.08 | (2128) op(e1, e3) = e2
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (74), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (954) all_0_8_8 = e2
% 15.12/4.08 |
% 15.12/4.08 | Equations (954) can reduce 320 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (320) ~ (all_0_8_8 = e2)
% 15.12/4.08 | (2132) all_0_12_12 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (125), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (298) all_0_13_13 = e3
% 15.12/4.08 |
% 15.12/4.08 | Combining equations (224,298) yields a new equation:
% 15.12/4.08 | (299) e3 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (299) can reduce 132 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (301) ~ (all_0_13_13 = e3)
% 15.12/4.08 | (302) all_0_14_14 = e3 | all_0_15_15 = e3
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (302), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (310) all_0_14_14 = e3
% 15.12/4.08 |
% 15.12/4.08 | Combining equations (310,293) yields a new equation:
% 15.12/4.08 | (657) e3 = e2
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 657 yields:
% 15.12/4.08 | (311) e3 = e2
% 15.12/4.08 |
% 15.12/4.08 | Equations (311) can reduce 191 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (313) ~ (all_0_14_14 = e3)
% 15.12/4.08 | (314) all_0_15_15 = e3
% 15.12/4.08 |
% 15.12/4.08 | Equations (314) can reduce 43 to:
% 15.12/4.08 | (834) ~ (all_0_8_8 = e3)
% 15.12/4.08 |
% 15.12/4.08 | Equations (314) can reduce 111 to:
% 15.12/4.08 | (44) ~ (all_0_12_12 = e3)
% 15.12/4.08 |
% 15.12/4.08 | Equations (314) can reduce 296 to:
% 15.12/4.08 | (191) ~ (e3 = e2)
% 15.12/4.08 |
% 15.12/4.08 | From (314) and (112) follows:
% 15.12/4.08 | (2147) op(e1, e0) = e3
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (2132), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (419) all_0_12_12 = e2
% 15.12/4.08 |
% 15.12/4.08 | Equations (419) can reduce 117 to:
% 15.12/4.08 | (320) ~ (all_0_8_8 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (419) can reduce 45 to:
% 15.12/4.08 | (294) ~ (all_0_10_10 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (419) can reduce 42 to:
% 15.12/4.08 | (322) ~ (all_0_11_11 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (419) can reduce 44 to:
% 15.12/4.08 | (308) ~ (e3 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 308 yields:
% 15.12/4.08 | (191) ~ (e3 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (419) can reduce 1418 to:
% 15.12/4.08 | (47) ~ (e2 = e0)
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (83), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (258) all_0_3_3 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (258) can reduce 115 to:
% 15.12/4.08 | (216) ~ (all_0_2_2 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (258) can reduce 356 to:
% 15.12/4.08 | (279) ~ (e4 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 279 yields:
% 15.12/4.08 | (210) ~ (e4 = e1)
% 15.12/4.08 |
% 15.12/4.08 | From (258) and (71) follows:
% 15.12/4.08 | (2159) op(e4, e0) = e1
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (211), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (800) all_0_3_3 = e4
% 15.12/4.08 |
% 15.12/4.08 | Combining equations (800,258) yields a new equation:
% 15.12/4.08 | (331) e4 = e1
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 331 yields:
% 15.12/4.08 | (332) e4 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (332) can reduce 210 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (356) ~ (all_0_3_3 = e4)
% 15.12/4.08 | (899) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (99), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (634) all_0_7_7 = e2
% 15.12/4.08 |
% 15.12/4.08 | Equations (634) can reduce 444 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (444) ~ (all_0_7_7 = e2)
% 15.12/4.08 | (637) all_0_11_11 = e2 | all_0_19_19 = e2
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (637), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (307) all_0_11_11 = e2
% 15.12/4.08 |
% 15.12/4.08 | Equations (307) can reduce 322 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (322) ~ (all_0_11_11 = e2)
% 15.12/4.08 | (651) all_0_19_19 = e2
% 15.12/4.08 |
% 15.12/4.08 | Equations (651) can reduce 206 to:
% 15.12/4.08 | (322) ~ (all_0_11_11 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (651) can reduce 137 to:
% 15.12/4.08 | (467) ~ (e4 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 467 yields:
% 15.12/4.08 | (194) ~ (e4 = e2)
% 15.12/4.08 |
% 15.12/4.08 | Equations (651) can reduce 1021 to:
% 15.12/4.08 | (138) ~ (e2 = e1)
% 15.12/4.08 |
% 15.12/4.08 | From (651) and (126) follows:
% 15.12/4.08 | (2178) op(e0, e1) = e2
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (899), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (872) all_0_8_8 = e4
% 15.12/4.08 |
% 15.12/4.08 | Equations (872) can reduce 129 to:
% 15.12/4.08 | (697) ~ (all_0_4_4 = e4)
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (14), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (1371) all_0_2_2 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (1371) can reduce 216 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (216) ~ (all_0_2_2 = e1)
% 15.12/4.08 | (2184) all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (2184), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (1055) all_0_7_7 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (1055) can reduce 276 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (276) ~ (all_0_7_7 = e1)
% 15.12/4.08 | (2188) all_0_11_11 = e1 | all_0_19_19 = e1
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (2188), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (1794) all_0_11_11 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (1794) can reduce 48 to:
% 15.12/4.08 | (216) ~ (all_0_2_2 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (1794) can reduce 23 to:
% 15.12/4.08 | (276) ~ (all_0_7_7 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (1794) can reduce 180 to:
% 15.12/4.08 | (285) ~ (all_0_9_9 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (1794) can reduce 202 to:
% 15.12/4.08 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Equations (1794) can reduce 322 to:
% 15.12/4.08 | (2057) ~ (e2 = e1)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 2057 yields:
% 15.12/4.08 | (138) ~ (e2 = e1)
% 15.12/4.08 |
% 15.12/4.08 | From (1794) and (149) follows:
% 15.12/4.08 | (2196) op(e2, e1) = e1
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (88), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (289) all_0_9_9 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (289) can reduce 285 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (285) ~ (all_0_9_9 = e1)
% 15.12/4.08 | (292) all_0_9_9 = e4 | all_0_9_9 = e0
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (49), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (1371) all_0_2_2 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (1371) can reduce 216 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (216) ~ (all_0_2_2 = e1)
% 15.12/4.08 | (1374) all_0_2_2 = e3 | all_0_2_2 = e0
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (13), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (536) all_0_4_4 = e0
% 15.12/4.08 |
% 15.12/4.08 | Equations (536) can reduce 6 to:
% 15.12/4.08 | (537) ~ (all_0_9_9 = e0)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 537 yields:
% 15.12/4.08 | (538) ~ (all_0_9_9 = e0)
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (292), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (543) all_0_9_9 = e0
% 15.12/4.08 |
% 15.12/4.08 | Equations (543) can reduce 538 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (538) ~ (all_0_9_9 = e0)
% 15.12/4.08 | (602) all_0_9_9 = e4
% 15.12/4.08 |
% 15.12/4.08 | Equations (602) can reduce 176 to:
% 15.12/4.08 | (1720) ~ (all_0_10_10 = e4)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 1720 yields:
% 15.12/4.08 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (30), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (581) all_0_10_10 = e1
% 15.12/4.08 |
% 15.12/4.08 | Equations (581) can reduce 286 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.08 | (584) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e0
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (584), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (547) all_0_10_10 = e0
% 15.12/4.08 |
% 15.12/4.08 | Equations (547) can reduce 127 to:
% 15.12/4.08 | (913) ~ (all_0_0_0 = e0)
% 15.12/4.08 |
% 15.12/4.08 | Equations (547) can reduce 286 to:
% 15.12/4.08 | (541) ~ (e1 = e0)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 541 yields:
% 15.12/4.08 | (128) ~ (e1 = e0)
% 15.12/4.08 |
% 15.12/4.08 | From (547) and (16) follows:
% 15.12/4.08 | (2222) op(e2, e3) = e0
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (52), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (795) all_0_0_0 = e0
% 15.12/4.08 |
% 15.12/4.08 | Equations (795) can reduce 913 to:
% 15.12/4.08 | (247) $false
% 15.12/4.08 |
% 15.12/4.08 |-The branch is then unsatisfiable
% 15.12/4.08 |-Branch two:
% 15.12/4.08 | (913) ~ (all_0_0_0 = e0)
% 15.12/4.08 | (914) all_0_2_2 = e0 | all_0_3_3 = e0
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (914), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (767) all_0_2_2 = e0
% 15.12/4.08 |
% 15.12/4.08 | Equations (767) can reduce 216 to:
% 15.12/4.08 | (541) ~ (e1 = e0)
% 15.12/4.08 |
% 15.12/4.08 | Simplifying 541 yields:
% 15.12/4.08 | (128) ~ (e1 = e0)
% 15.12/4.08 |
% 15.12/4.08 +-Applying beta-rule and splitting (59), into two cases.
% 15.12/4.08 |-Branch one:
% 15.12/4.08 | (1434) unit = e1
% 15.12/4.08 |
% 15.12/4.08 | From (1434) and (27) follows:
% 15.12/4.08 | (2231) op(e1, e3) = e3
% 15.12/4.08 |
% 15.12/4.08 | From (1434) and (46) follows:
% 15.12/4.08 | (1435) op(e1, e0) = e0
% 15.12/4.08 |
% 15.12/4.08 | From (1434) and (151) follows:
% 15.12/4.08 | (2233) op(e2, e1) = e2
% 15.12/4.08 |
% 15.12/4.08 | Instantiating formula (120) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 15.12/4.08 | (420) e2 = e1
% 15.12/4.08 |
% 15.12/4.08 | Instantiating formula (120) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields:
% 15.12/4.08 | (311) e3 = e2
% 15.12/4.08 |
% 15.12/4.08 | Instantiating formula (120) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields:
% 15.12/4.09 | (761) e3 = e0
% 15.12/4.09 |
% 15.12/4.09 | Combining equations (311,761) yields a new equation:
% 15.12/4.09 | (779) e2 = e0
% 15.12/4.09 |
% 15.12/4.09 | Simplifying 779 yields:
% 15.12/4.09 | (552) e2 = e0
% 15.12/4.09 |
% 15.12/4.09 | Combining equations (552,420) yields a new equation:
% 15.12/4.09 | (246) e1 = e0
% 15.12/4.09 |
% 15.12/4.09 | Equations (246) can reduce 128 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (1438) ~ (unit = e1)
% 15.12/4.09 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 15.12/4.09 |
% 15.12/4.09 +-Applying beta-rule and splitting (1439), into two cases.
% 15.12/4.09 |-Branch one:
% 15.12/4.09 | (1440) unit = e0
% 15.12/4.09 |
% 15.12/4.09 | From (1440) and (172) follows:
% 15.12/4.09 | (2244) op(e0, e1) = e1
% 15.12/4.09 |
% 15.12/4.09 | Instantiating formula (120) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields:
% 15.12/4.09 | (420) e2 = e1
% 15.12/4.09 |
% 15.12/4.09 | Equations (420) can reduce 138 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (387) ~ (unit = e0)
% 15.12/4.09 | (1443) unit = e4 | unit = e3 | unit = e2
% 15.12/4.09 |
% 15.12/4.09 +-Applying beta-rule and splitting (1443), into two cases.
% 15.12/4.09 |-Branch one:
% 15.12/4.09 | (1444) unit = e3
% 15.12/4.09 |
% 15.12/4.09 | From (1444) and (151) follows:
% 15.12/4.09 | (1445) op(e2, e3) = e2
% 15.12/4.09 |
% 15.12/4.09 | From (1444) and (186) follows:
% 15.12/4.09 | (2251) op(e1, e3) = e1
% 15.12/4.09 |
% 15.12/4.09 | Instantiating formula (120) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields:
% 15.12/4.09 | (552) e2 = e0
% 15.12/4.09 |
% 15.12/4.09 | Instantiating formula (120) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields:
% 15.12/4.09 | (420) e2 = e1
% 15.12/4.09 |
% 15.12/4.09 | Combining equations (552,420) yields a new equation:
% 15.12/4.09 | (246) e1 = e0
% 15.12/4.09 |
% 15.12/4.09 | Equations (246) can reduce 128 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (343) ~ (unit = e3)
% 15.12/4.09 | (1453) unit = e4 | unit = e2
% 15.12/4.09 |
% 15.12/4.09 +-Applying beta-rule and splitting (1453), into two cases.
% 15.12/4.09 |-Branch one:
% 15.12/4.09 | (1454) unit = e4
% 15.12/4.09 |
% 15.12/4.09 | From (1454) and (46) follows:
% 15.12/4.09 | (2259) op(e4, e0) = e0
% 15.12/4.09 |
% 15.12/4.09 | Instantiating formula (120) with e4, e0, e0, e1 and discharging atoms op(e4, e0) = e1, op(e4, e0) = e0, yields:
% 15.12/4.09 | (246) e1 = e0
% 15.12/4.09 |
% 15.12/4.09 | Equations (246) can reduce 128 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (349) ~ (unit = e4)
% 15.12/4.09 | (1470) unit = e2
% 15.12/4.09 |
% 15.12/4.09 | From (1470) and (108) follows:
% 15.12/4.09 | (1472) op(e0, e2) = e0
% 15.12/4.09 |
% 15.12/4.09 | Instantiating formula (120) with e0, e2, e0, e1 and discharging atoms op(e0, e2) = e1, op(e0, e2) = e0, yields:
% 15.12/4.09 | (246) e1 = e0
% 15.12/4.09 |
% 15.12/4.09 | Equations (246) can reduce 128 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (770) ~ (all_0_2_2 = e0)
% 15.12/4.09 | (919) all_0_3_3 = e0
% 15.12/4.09 |
% 15.12/4.09 | Combining equations (919,258) yields a new equation:
% 15.12/4.09 | (246) e1 = e0
% 15.12/4.09 |
% 15.12/4.09 | Equations (246) can reduce 128 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (390) ~ (all_0_10_10 = e0)
% 15.12/4.09 | (588) all_0_10_10 = e4 | all_0_10_10 = e2
% 15.12/4.09 |
% 15.12/4.09 +-Applying beta-rule and splitting (588), into two cases.
% 15.12/4.09 |-Branch one:
% 15.12/4.09 | (589) all_0_10_10 = e4
% 15.12/4.09 |
% 15.12/4.09 | Equations (589) can reduce 355 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.09 | (303) all_0_10_10 = e2
% 15.12/4.09 |
% 15.12/4.09 | Equations (303) can reduce 294 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (558) ~ (all_0_4_4 = e0)
% 15.12/4.09 | (563) all_0_9_9 = e0 | all_0_16_16 = e0
% 15.12/4.09 |
% 15.12/4.09 +-Applying beta-rule and splitting (563), into two cases.
% 15.12/4.09 |-Branch one:
% 15.12/4.09 | (543) all_0_9_9 = e0
% 15.12/4.09 |
% 15.12/4.09 | Equations (543) can reduce 176 to:
% 15.12/4.09 | (579) ~ (all_0_10_10 = e0)
% 15.12/4.09 |
% 15.12/4.09 | Simplifying 579 yields:
% 15.12/4.09 | (390) ~ (all_0_10_10 = e0)
% 15.12/4.09 |
% 15.12/4.09 +-Applying beta-rule and splitting (3), into two cases.
% 15.12/4.09 |-Branch one:
% 15.12/4.09 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 15.12/4.09 |
% 15.12/4.09 +-Applying beta-rule and splitting (316), into two cases.
% 15.12/4.09 |-Branch one:
% 15.12/4.09 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 15.12/4.09 |
% 15.12/4.09 +-Applying beta-rule and splitting (317), into two cases.
% 15.12/4.09 |-Branch one:
% 15.12/4.09 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 15.12/4.09 |
% 15.12/4.09 +-Applying beta-rule and splitting (318), into two cases.
% 15.12/4.09 |-Branch one:
% 15.12/4.09 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 15.12/4.09 |
% 15.12/4.09 | Applying alpha-rule on (319) yields:
% 15.12/4.09 | (320) ~ (all_0_8_8 = e2)
% 15.12/4.09 | (321) ~ (all_0_5_5 = e2)
% 15.12/4.09 | (322) ~ (all_0_11_11 = e2)
% 15.12/4.09 | (323) ~ (all_0_12_12 = e2)
% 15.12/4.09 | (324) ~ (all_0_20_20 = e2)
% 15.12/4.09 | (325) ~ (unit = e2)
% 15.12/4.09 | (326) ~ (all_0_14_14 = e2)
% 15.12/4.09 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 15.12/4.09 | (328) ~ (all_0_17_17 = e2)
% 15.12/4.09 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 15.12/4.09 | (330) all_0_1_1 = e4
% 15.12/4.09 |
% 15.12/4.09 | Equations (293) can reduce 326 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 15.12/4.09 |
% 15.12/4.09 | Applying alpha-rule on (334) yields:
% 15.12/4.09 | (301) ~ (all_0_13_13 = e3)
% 15.12/4.09 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 15.12/4.09 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 15.12/4.09 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 15.12/4.09 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 15.12/4.09 | (340) ~ (all_0_15_15 = e3)
% 15.12/4.09 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 15.12/4.09 | (303) all_0_10_10 = e2
% 15.12/4.09 | (343) ~ (unit = e3)
% 15.12/4.09 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 15.12/4.09 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 15.12/4.09 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 15.12/4.09 |
% 15.12/4.09 | Equations (314) can reduce 340 to:
% 15.12/4.09 | (247) $false
% 15.12/4.09 |
% 15.12/4.09 |-The branch is then unsatisfiable
% 15.12/4.09 |-Branch two:
% 15.12/4.09 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 15.12/4.09 |
% 15.12/4.09 | Applying alpha-rule on (348) yields:
% 15.12/4.09 | (349) ~ (unit = e4)
% 15.12/4.09 | (350) ~ (all_0_6_6 = e4)
% 15.12/4.09 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 15.12/4.09 | (352) ~ (all_0_18_18 = e4)
% 15.12/4.09 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 15.12/4.09 | (354) ~ (all_0_0_0 = e4)
% 15.12/4.09 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.09 | (356) ~ (all_0_3_3 = e4)
% 15.12/4.09 | (224) all_0_13_13 = e1
% 15.12/4.09 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 15.12/4.10 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 15.12/4.10 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (30), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (581) all_0_10_10 = e1
% 15.12/4.10 |
% 15.12/4.10 | Equations (581) can reduce 286 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.10 | (584) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e0
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (584), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (547) all_0_10_10 = e0
% 15.12/4.10 |
% 15.12/4.10 | Equations (547) can reduce 390 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (390) ~ (all_0_10_10 = e0)
% 15.12/4.10 | (588) all_0_10_10 = e4 | all_0_10_10 = e2
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (588), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (589) all_0_10_10 = e4
% 15.12/4.10 |
% 15.12/4.10 | Equations (589) can reduce 355 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.10 | (303) all_0_10_10 = e2
% 15.12/4.10 |
% 15.12/4.10 | Equations (303) can reduce 294 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 15.12/4.10 |
% 15.12/4.10 | Applying alpha-rule on (379) yields:
% 15.12/4.10 | (380) all_0_15_15 = e2
% 15.12/4.10 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 15.12/4.10 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 15.12/4.10 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 15.12/4.10 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 15.12/4.10 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 15.12/4.10 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 15.12/4.10 | (387) ~ (unit = e0)
% 15.12/4.10 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 15.12/4.10 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 15.12/4.10 | (390) ~ (all_0_10_10 = e0)
% 15.12/4.10 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 15.12/4.10 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 15.12/4.10 |
% 15.12/4.10 | Combining equations (314,380) yields a new equation:
% 15.12/4.10 | (657) e3 = e2
% 15.12/4.10 |
% 15.12/4.10 | Simplifying 657 yields:
% 15.12/4.10 | (311) e3 = e2
% 15.12/4.10 |
% 15.12/4.10 | Equations (311) can reduce 191 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 15.12/4.10 |
% 15.12/4.10 | Applying alpha-rule on (395) yields:
% 15.12/4.10 | (396) ~ (all_0_1_1 = e1)
% 15.12/4.10 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 15.12/4.10 | (227) ~ (all_0_14_14 = e1)
% 15.12/4.10 | (225) ~ (all_0_4_4 = e1)
% 15.12/4.10 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 15.12/4.10 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 15.12/4.10 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 15.12/4.10 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 15.12/4.10 | (231) ~ (all_0_16_16 = e1)
% 15.12/4.10 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 15.12/4.10 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.10 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 15.12/4.10 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 15.12/4.10 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 15.12/4.10 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 15.12/4.10 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 15.12/4.10 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 15.12/4.10 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 15.12/4.10 | (285) ~ (all_0_9_9 = e1)
% 15.12/4.10 | (229) ~ (all_0_15_15 = e1)
% 15.12/4.10 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (30), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (581) all_0_10_10 = e1
% 15.12/4.10 |
% 15.12/4.10 | Equations (581) can reduce 286 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (286) ~ (all_0_10_10 = e1)
% 15.12/4.10 | (584) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e0
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (584), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (547) all_0_10_10 = e0
% 15.12/4.10 |
% 15.12/4.10 | Equations (547) can reduce 390 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (390) ~ (all_0_10_10 = e0)
% 15.12/4.10 | (588) all_0_10_10 = e4 | all_0_10_10 = e2
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (403), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (1026) ~ (all_0_5_5 = e1)
% 15.12/4.10 |
% 15.12/4.10 | Equations (233) can reduce 1026 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (233) all_0_5_5 = e1
% 15.12/4.10 | (2389) all_0_7_7 = e3 & ~ (unit = e1)
% 15.12/4.10 |
% 15.12/4.10 | Applying alpha-rule on (2389) yields:
% 15.12/4.10 | (784) all_0_7_7 = e3
% 15.12/4.10 | (1438) ~ (unit = e1)
% 15.12/4.10 |
% 15.12/4.10 | Equations (784) can reduce 41 to:
% 15.12/4.10 | (436) ~ (all_0_4_4 = e3)
% 15.12/4.10 |
% 15.12/4.10 | Equations (784) can reduce 276 to:
% 15.12/4.10 | (132) ~ (e3 = e1)
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (588), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (589) all_0_10_10 = e4
% 15.12/4.10 |
% 15.12/4.10 | Equations (589) can reduce 196 to:
% 15.12/4.10 | (24) ~ (e4 = e3)
% 15.12/4.10 |
% 15.12/4.10 | Equations (589) can reduce 390 to:
% 15.12/4.10 | (7) ~ (e4 = e0)
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (118), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (575) all_0_4_4 = e4
% 15.12/4.10 |
% 15.12/4.10 | Equations (575) can reduce 697 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (697) ~ (all_0_4_4 = e4)
% 15.12/4.10 | (1494) all_0_9_9 = e4 | all_0_16_16 = e4
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (87), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (572) all_0_4_4 = e3
% 15.12/4.10 |
% 15.12/4.10 | Equations (572) can reduce 436 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (436) ~ (all_0_4_4 = e3)
% 15.12/4.10 | (2404) all_0_13_13 = e3 | all_0_16_16 = e3
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (2404), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (298) all_0_13_13 = e3
% 15.12/4.10 |
% 15.12/4.10 | Combining equations (224,298) yields a new equation:
% 15.12/4.10 | (299) e3 = e1
% 15.12/4.10 |
% 15.12/4.10 | Equations (299) can reduce 132 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (301) ~ (all_0_13_13 = e3)
% 15.12/4.10 | (435) all_0_16_16 = e3
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (1494), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (602) all_0_9_9 = e4
% 15.12/4.10 |
% 15.12/4.10 | Combining equations (602,543) yields a new equation:
% 15.12/4.10 | (1496) e4 = e0
% 15.12/4.10 |
% 15.12/4.10 | Simplifying 1496 yields:
% 15.12/4.10 | (911) e4 = e0
% 15.12/4.10 |
% 15.12/4.10 | Equations (911) can reduce 7 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (577) ~ (all_0_9_9 = e4)
% 15.12/4.10 | (1500) all_0_16_16 = e4
% 15.12/4.10 |
% 15.12/4.10 | Combining equations (1500,435) yields a new equation:
% 15.12/4.10 | (901) e4 = e3
% 15.12/4.10 |
% 15.12/4.10 | Simplifying 901 yields:
% 15.12/4.10 | (873) e4 = e3
% 15.12/4.10 |
% 15.12/4.10 | Equations (873) can reduce 24 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (355) ~ (all_0_10_10 = e4)
% 15.12/4.10 | (303) all_0_10_10 = e2
% 15.12/4.10 |
% 15.12/4.10 | Equations (303) can reduce 294 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (538) ~ (all_0_9_9 = e0)
% 15.12/4.10 | (1503) all_0_16_16 = e0
% 15.12/4.10 |
% 15.12/4.10 | Equations (1503) can reduce 1405 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (1075) ~ (all_0_11_11 = e1)
% 15.12/4.10 | (274) all_0_19_19 = e1
% 15.12/4.10 |
% 15.12/4.10 | Combining equations (274,651) yields a new equation:
% 15.12/4.10 | (420) e2 = e1
% 15.12/4.10 |
% 15.12/4.10 | Equations (420) can reduce 138 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (701) ~ (all_0_8_8 = e4)
% 15.12/4.10 | (905) all_0_12_12 = e4 | all_0_20_20 = e4
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (905), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (594) all_0_12_12 = e4
% 15.12/4.10 |
% 15.12/4.10 | Combining equations (594,419) yields a new equation:
% 15.12/4.10 | (470) e4 = e2
% 15.12/4.10 |
% 15.12/4.10 | Simplifying 470 yields:
% 15.12/4.10 | (471) e4 = e2
% 15.12/4.10 |
% 15.12/4.10 | Equations (471) can reduce 194 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (909) ~ (all_0_12_12 = e4)
% 15.12/4.10 | (910) all_0_20_20 = e4
% 15.12/4.10 |
% 15.12/4.10 | Combining equations (249,910) yields a new equation:
% 15.12/4.10 | (911) e4 = e0
% 15.12/4.10 |
% 15.12/4.10 | Equations (911) can reduce 7 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (218) ~ (all_0_3_3 = e1)
% 15.12/4.10 | (2440) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (101), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (258) all_0_3_3 = e1
% 15.12/4.10 |
% 15.12/4.10 | Equations (258) can reduce 218 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (218) ~ (all_0_3_3 = e1)
% 15.12/4.10 | (261) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (169), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (266) all_0_8_8 = e1
% 15.12/4.10 |
% 15.12/4.10 | Equations (266) can reduce 239 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (239) ~ (all_0_8_8 = e1)
% 15.12/4.10 | (748) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (748), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (749) all_0_8_8 = e0
% 15.12/4.10 |
% 15.12/4.10 | Equations (749) can reduce 712 to:
% 15.12/4.10 | (247) $false
% 15.12/4.10 |
% 15.12/4.10 |-The branch is then unsatisfiable
% 15.12/4.10 |-Branch two:
% 15.12/4.10 | (712) ~ (all_0_8_8 = e0)
% 15.12/4.10 | (752) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2
% 15.12/4.10 |
% 15.12/4.10 +-Applying beta-rule and splitting (752), into two cases.
% 15.12/4.10 |-Branch one:
% 15.12/4.10 | (788) all_0_8_8 = e3
% 15.43/4.11 |
% 15.43/4.11 | Equations (788) can reduce 834 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (834) ~ (all_0_8_8 = e3)
% 15.43/4.11 | (950) all_0_8_8 = e4 | all_0_8_8 = e2
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (950), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (872) all_0_8_8 = e4
% 15.43/4.11 |
% 15.43/4.11 | Equations (872) can reduce 239 to:
% 15.43/4.11 | (210) ~ (e4 = e1)
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (155), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (692) all_0_0_0 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (692) can reduce 214 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (214) ~ (all_0_0_0 = e1)
% 15.43/4.11 | (2462) all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (2462), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (213) all_0_1_1 = e1
% 15.43/4.11 |
% 15.43/4.11 | Combining equations (213,330) yields a new equation:
% 15.43/4.11 | (332) e4 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (332) can reduce 210 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (396) ~ (all_0_1_1 = e1)
% 15.43/4.11 | (2467) all_0_2_2 = e1 | all_0_3_3 = e1
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (113), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (458) all_0_17_17 = e2
% 15.43/4.11 |
% 15.43/4.11 | Equations (458) can reduce 328 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (328) ~ (all_0_17_17 = e2)
% 15.43/4.11 | (633) all_0_18_18 = e2 | all_0_19_19 = e2 | all_0_20_20 = e2
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (633), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (368) all_0_18_18 = e2
% 15.43/4.11 |
% 15.43/4.11 | Combining equations (270,368) yields a new equation:
% 15.43/4.11 | (420) e2 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (420) can reduce 138 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (1283) ~ (all_0_18_18 = e2)
% 15.43/4.11 | (2476) all_0_19_19 = e2 | all_0_20_20 = e2
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (2476), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (651) all_0_19_19 = e2
% 15.43/4.11 |
% 15.43/4.11 | Equations (651) can reduce 97 to:
% 15.43/4.11 | (75) ~ (all_0_2_2 = e2)
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (2467), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (1371) all_0_2_2 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (1371) can reduce 48 to:
% 15.43/4.11 | (1074) ~ (all_0_11_11 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 1074 yields:
% 15.43/4.11 | (1075) ~ (all_0_11_11 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (1371) can reduce 75 to:
% 15.43/4.11 | (2057) ~ (e2 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 2057 yields:
% 15.43/4.11 | (138) ~ (e2 = e1)
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (124), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (1794) all_0_11_11 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (1794) can reduce 1075 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (1075) ~ (all_0_11_11 = e1)
% 15.43/4.11 | (1933) all_0_11_11 = e2 | all_0_11_11 = e0
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (182), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (289) all_0_9_9 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (289) can reduce 285 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (285) ~ (all_0_9_9 = e1)
% 15.43/4.11 | (1977) all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (1977), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (581) all_0_10_10 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (581) can reduce 286 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (286) ~ (all_0_10_10 = e1)
% 15.43/4.11 | (1981) all_0_11_11 = e1 | all_0_12_12 = e1
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (1981), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (1794) all_0_11_11 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (1794) can reduce 1075 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (1075) ~ (all_0_11_11 = e1)
% 15.43/4.11 | (282) all_0_12_12 = e1
% 15.43/4.11 |
% 15.43/4.11 | Combining equations (419,282) yields a new equation:
% 15.43/4.11 | (629) e2 = e1
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 629 yields:
% 15.43/4.11 | (420) e2 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (420) can reduce 138 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (216) ~ (all_0_2_2 = e1)
% 15.43/4.11 | (258) all_0_3_3 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (258) can reduce 218 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (2506) ~ (all_0_19_19 = e2)
% 15.43/4.11 | (2507) all_0_20_20 = e2
% 15.43/4.11 |
% 15.43/4.11 | Combining equations (2507,249) yields a new equation:
% 15.43/4.11 | (779) e2 = e0
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 779 yields:
% 15.43/4.11 | (552) e2 = e0
% 15.43/4.11 |
% 15.43/4.11 | Equations (552) can reduce 47 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (701) ~ (all_0_8_8 = e4)
% 15.43/4.11 | (954) all_0_8_8 = e2
% 15.43/4.11 |
% 15.43/4.11 | Equations (954) can reduce 320 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (323) ~ (all_0_12_12 = e2)
% 15.43/4.11 | (2515) all_0_15_15 = e2 | all_0_20_20 = e2
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (2515), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (380) all_0_15_15 = e2
% 15.43/4.11 |
% 15.43/4.11 | Combining equations (314,380) yields a new equation:
% 15.43/4.11 | (657) e3 = e2
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 657 yields:
% 15.43/4.11 | (311) e3 = e2
% 15.43/4.11 |
% 15.43/4.11 | Equations (311) can reduce 191 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (296) ~ (all_0_15_15 = e2)
% 15.43/4.11 | (2507) all_0_20_20 = e2
% 15.43/4.11 |
% 15.43/4.11 | Combining equations (2507,249) yields a new equation:
% 15.43/4.11 | (779) e2 = e0
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 779 yields:
% 15.43/4.11 | (552) e2 = e0
% 15.43/4.11 |
% 15.43/4.11 | Equations (552) can reduce 47 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (326) ~ (all_0_14_14 = e2)
% 15.43/4.11 | (380) all_0_15_15 = e2
% 15.43/4.11 |
% 15.43/4.11 | Equations (380) can reduce 43 to:
% 15.43/4.11 | (320) ~ (all_0_8_8 = e2)
% 15.43/4.11 |
% 15.43/4.11 | Equations (380) can reduce 111 to:
% 15.43/4.11 | (323) ~ (all_0_12_12 = e2)
% 15.43/4.11 |
% 15.43/4.11 | Equations (380) can reduce 184 to:
% 15.43/4.11 | (326) ~ (all_0_14_14 = e2)
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (91), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (426) all_0_14_14 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (426) can reduce 227 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (227) ~ (all_0_14_14 = e1)
% 15.43/4.11 | (429) all_0_14_14 = e3 | all_0_14_14 = e2
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (429), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (310) all_0_14_14 = e3
% 15.43/4.11 |
% 15.43/4.11 | Equations (310) can reduce 188 to:
% 15.43/4.11 | (1188) ~ (all_0_0_0 = e3)
% 15.43/4.11 |
% 15.43/4.11 | Equations (310) can reduce 198 to:
% 15.43/4.11 | (431) ~ (all_0_17_17 = e3)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 431 yields:
% 15.43/4.11 | (432) ~ (all_0_17_17 = e3)
% 15.43/4.11 |
% 15.43/4.11 | Equations (310) can reduce 227 to:
% 15.43/4.11 | (132) ~ (e3 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (310) can reduce 70 to:
% 15.43/4.11 | (64) ~ (e3 = e0)
% 15.43/4.11 |
% 15.43/4.11 | From (310) and (105) follows:
% 15.43/4.11 | (2231) op(e1, e3) = e3
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (38), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (692) all_0_0_0 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (692) can reduce 214 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (214) ~ (all_0_0_0 = e1)
% 15.43/4.11 | (695) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e0
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (695), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (795) all_0_0_0 = e0
% 15.43/4.11 |
% 15.43/4.11 | Equations (795) can reduce 25 to:
% 15.43/4.11 | (2546) ~ (all_0_2_2 = e0)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 2546 yields:
% 15.43/4.11 | (770) ~ (all_0_2_2 = e0)
% 15.43/4.11 |
% 15.43/4.11 | Equations (795) can reduce 61 to:
% 15.43/4.11 | (2548) ~ (all_0_3_3 = e0)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 2548 yields:
% 15.43/4.11 | (250) ~ (all_0_3_3 = e0)
% 15.43/4.11 |
% 15.43/4.11 | Equations (795) can reduce 127 to:
% 15.43/4.11 | (579) ~ (all_0_10_10 = e0)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 579 yields:
% 15.43/4.11 | (390) ~ (all_0_10_10 = e0)
% 15.43/4.11 |
% 15.43/4.11 | Equations (795) can reduce 214 to:
% 15.43/4.11 | (541) ~ (e1 = e0)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 541 yields:
% 15.43/4.11 | (128) ~ (e1 = e0)
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (49), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (1371) all_0_2_2 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (1371) can reduce 115 to:
% 15.43/4.11 | (217) ~ (all_0_3_3 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 217 yields:
% 15.43/4.11 | (218) ~ (all_0_3_3 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (1371) can reduce 85 to:
% 15.43/4.11 | (2065) ~ (all_0_7_7 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 2065 yields:
% 15.43/4.11 | (276) ~ (all_0_7_7 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (1371) can reduce 97 to:
% 15.43/4.11 | (2113) ~ (all_0_19_19 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 2113 yields:
% 15.43/4.11 | (1021) ~ (all_0_19_19 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (1371) can reduce 75 to:
% 15.43/4.11 | (2057) ~ (e2 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 2057 yields:
% 15.43/4.11 | (138) ~ (e2 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (1371) can reduce 770 to:
% 15.43/4.11 | (128) ~ (e1 = e0)
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (101), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (258) all_0_3_3 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (258) can reduce 218 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (218) ~ (all_0_3_3 = e1)
% 15.43/4.11 | (261) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (261), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (266) all_0_8_8 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (266) can reduce 239 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (239) ~ (all_0_8_8 = e1)
% 15.43/4.11 | (269) all_0_12_12 = e1 | all_0_15_15 = e1 | all_0_20_20 = e1
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (269), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (282) all_0_12_12 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (282) can reduce 84 to:
% 15.43/4.11 | (218) ~ (all_0_3_3 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (282) can reduce 117 to:
% 15.43/4.11 | (239) ~ (all_0_8_8 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (282) can reduce 183 to:
% 15.43/4.11 | (285) ~ (all_0_9_9 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (282) can reduce 45 to:
% 15.43/4.11 | (286) ~ (all_0_10_10 = e1)
% 15.43/4.11 |
% 15.43/4.11 | Equations (282) can reduce 42 to:
% 15.43/4.11 | (1075) ~ (all_0_11_11 = e1)
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (83), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (258) all_0_3_3 = e1
% 15.43/4.11 |
% 15.43/4.11 | Equations (258) can reduce 218 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (218) ~ (all_0_3_3 = e1)
% 15.43/4.11 | (2440) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (2440), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (919) all_0_3_3 = e0
% 15.43/4.11 |
% 15.43/4.11 | Equations (919) can reduce 250 to:
% 15.43/4.11 | (247) $false
% 15.43/4.11 |
% 15.43/4.11 |-The branch is then unsatisfiable
% 15.43/4.11 |-Branch two:
% 15.43/4.11 | (250) ~ (all_0_3_3 = e0)
% 15.43/4.11 | (2585) all_0_3_3 = e4 | all_0_3_3 = e3
% 15.43/4.11 |
% 15.43/4.11 +-Applying beta-rule and splitting (2585), into two cases.
% 15.43/4.11 |-Branch one:
% 15.43/4.11 | (2586) all_0_3_3 = e3
% 15.43/4.11 |
% 15.43/4.11 | Equations (2586) can reduce 20 to:
% 15.43/4.11 | (2587) ~ (all_0_8_8 = e3)
% 15.43/4.11 |
% 15.43/4.11 | Simplifying 2587 yields:
% 15.43/4.11 | (834) ~ (all_0_8_8 = e3)
% 15.43/4.12 |
% 15.43/4.12 | Equations (2586) can reduce 218 to:
% 15.43/4.12 | (132) ~ (e3 = e1)
% 15.43/4.12 |
% 15.43/4.12 | Equations (2586) can reduce 250 to:
% 15.43/4.12 | (64) ~ (e3 = e0)
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (169), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (266) all_0_8_8 = e1
% 15.43/4.12 |
% 15.43/4.12 | Equations (266) can reduce 239 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (239) ~ (all_0_8_8 = e1)
% 15.43/4.12 | (748) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (748), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (749) all_0_8_8 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (749) can reduce 712 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (712) ~ (all_0_8_8 = e0)
% 15.43/4.12 | (752) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (752), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (788) all_0_8_8 = e3
% 15.43/4.12 |
% 15.43/4.12 | Equations (788) can reduce 834 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (834) ~ (all_0_8_8 = e3)
% 15.43/4.12 | (950) all_0_8_8 = e4 | all_0_8_8 = e2
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (950), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (872) all_0_8_8 = e4
% 15.43/4.12 |
% 15.43/4.12 | Equations (872) can reduce 129 to:
% 15.43/4.12 | (697) ~ (all_0_4_4 = e4)
% 15.43/4.12 |
% 15.43/4.12 | Equations (872) can reduce 168 to:
% 15.43/4.12 | (209) ~ (all_0_7_7 = e4)
% 15.43/4.12 |
% 15.43/4.12 | Equations (872) can reduce 834 to:
% 15.43/4.12 | (24) ~ (e4 = e3)
% 15.43/4.12 |
% 15.43/4.12 | Equations (872) can reduce 320 to:
% 15.43/4.12 | (194) ~ (e4 = e2)
% 15.43/4.12 |
% 15.43/4.12 | Equations (872) can reduce 239 to:
% 15.43/4.12 | (210) ~ (e4 = e1)
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (124), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (1794) all_0_11_11 = e1
% 15.43/4.12 |
% 15.43/4.12 | Equations (1794) can reduce 1075 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (1075) ~ (all_0_11_11 = e1)
% 15.43/4.12 | (1933) all_0_11_11 = e2 | all_0_11_11 = e0
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (88), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (289) all_0_9_9 = e1
% 15.43/4.12 |
% 15.43/4.12 | Equations (289) can reduce 285 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (285) ~ (all_0_9_9 = e1)
% 15.43/4.12 | (292) all_0_9_9 = e4 | all_0_9_9 = e0
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (13), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (536) all_0_4_4 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (536) can reduce 6 to:
% 15.43/4.12 | (537) ~ (all_0_9_9 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 537 yields:
% 15.43/4.12 | (538) ~ (all_0_9_9 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Equations (536) can reduce 76 to:
% 15.43/4.12 | (2620) ~ (all_0_16_16 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 2620 yields:
% 15.43/4.12 | (1405) ~ (all_0_16_16 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Equations (536) can reduce 225 to:
% 15.43/4.12 | (541) ~ (e1 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 541 yields:
% 15.43/4.12 | (128) ~ (e1 = e0)
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (203), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (543) all_0_9_9 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (543) can reduce 538 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (538) ~ (all_0_9_9 = e0)
% 15.43/4.12 | (546) all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (185), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (572) all_0_4_4 = e3
% 15.43/4.12 |
% 15.43/4.12 | Combining equations (572,536) yields a new equation:
% 15.43/4.12 | (1006) e3 = e0
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 1006 yields:
% 15.43/4.12 | (761) e3 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (761) can reduce 64 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (436) ~ (all_0_4_4 = e3)
% 15.43/4.12 | (764) all_0_5_5 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (764), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (772) all_0_5_5 = e3
% 15.43/4.12 |
% 15.43/4.12 | Combining equations (772,233) yields a new equation:
% 15.43/4.12 | (773) e3 = e1
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 773 yields:
% 15.43/4.12 | (299) e3 = e1
% 15.43/4.12 |
% 15.43/4.12 | Equations (299) can reduce 132 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (776) ~ (all_0_5_5 = e3)
% 15.43/4.12 | (777) all_0_7_7 = e3 | all_0_8_8 = e3
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (777), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (784) all_0_7_7 = e3
% 15.43/4.12 |
% 15.43/4.12 | Equations (784) can reduce 23 to:
% 15.43/4.12 | (756) ~ (all_0_11_11 = e3)
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 756 yields:
% 15.43/4.12 | (66) ~ (all_0_11_11 = e3)
% 15.43/4.12 |
% 15.43/4.12 | Equations (784) can reduce 276 to:
% 15.43/4.12 | (132) ~ (e3 = e1)
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (546), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (547) all_0_10_10 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (547) can reduce 390 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (390) ~ (all_0_10_10 = e0)
% 15.43/4.12 | (550) all_0_11_11 = e0 | all_0_12_12 = e0
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (550), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (551) all_0_11_11 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (551) can reduce 180 to:
% 15.43/4.12 | (538) ~ (all_0_9_9 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Equations (551) can reduce 202 to:
% 15.43/4.12 | (390) ~ (all_0_10_10 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Equations (551) can reduce 206 to:
% 15.43/4.12 | (2651) ~ (all_0_19_19 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 2651 yields:
% 15.43/4.12 | (253) ~ (all_0_19_19 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Equations (551) can reduce 66 to:
% 15.43/4.12 | (713) ~ (e3 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 713 yields:
% 15.43/4.12 | (64) ~ (e3 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Equations (551) can reduce 1075 to:
% 15.43/4.12 | (541) ~ (e1 = e0)
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 541 yields:
% 15.43/4.12 | (128) ~ (e1 = e0)
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (11), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (435) all_0_16_16 = e3
% 15.43/4.12 |
% 15.43/4.12 | Equations (435) can reduce 107 to:
% 15.43/4.12 | (142) ~ (all_0_9_9 = e3)
% 15.43/4.12 |
% 15.43/4.12 | Equations (435) can reduce 57 to:
% 15.43/4.12 | (2659) ~ (all_0_19_19 = e3)
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 2659 yields:
% 15.43/4.12 | (1004) ~ (all_0_19_19 = e3)
% 15.43/4.12 |
% 15.43/4.12 | Equations (435) can reduce 1405 to:
% 15.43/4.12 | (64) ~ (e3 = e0)
% 15.43/4.12 |
% 15.43/4.12 | From (435) and (78) follows:
% 15.43/4.12 | (1433) op(e0, e4) = e3
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (102), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (274) all_0_19_19 = e1
% 15.43/4.12 |
% 15.43/4.12 | Equations (274) can reduce 1021 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (1021) ~ (all_0_19_19 = e1)
% 15.43/4.12 | (2666) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e0
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (2666), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (922) all_0_19_19 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (922) can reduce 253 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (253) ~ (all_0_19_19 = e0)
% 15.43/4.12 | (2670) all_0_19_19 = e3 | all_0_19_19 = e2
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (2670), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (946) all_0_19_19 = e3
% 15.43/4.12 |
% 15.43/4.12 | Equations (946) can reduce 1004 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (1004) ~ (all_0_19_19 = e3)
% 15.43/4.12 | (651) all_0_19_19 = e2
% 15.43/4.12 |
% 15.43/4.12 | Equations (651) can reduce 204 to:
% 15.43/4.12 | (328) ~ (all_0_17_17 = e2)
% 15.43/4.12 |
% 15.43/4.12 | Equations (651) can reduce 1004 to:
% 15.43/4.12 | (308) ~ (e3 = e2)
% 15.43/4.12 |
% 15.43/4.12 | Simplifying 308 yields:
% 15.43/4.12 | (191) ~ (e3 = e2)
% 15.43/4.12 |
% 15.43/4.12 | Equations (651) can reduce 1021 to:
% 15.43/4.12 | (138) ~ (e2 = e1)
% 15.43/4.12 |
% 15.43/4.12 | From (651) and (126) follows:
% 15.43/4.12 | (2178) op(e0, e1) = e2
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (62), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (638) all_0_5_5 = e2
% 15.43/4.12 |
% 15.43/4.12 | Combining equations (233,638) yields a new equation:
% 15.43/4.12 | (420) e2 = e1
% 15.43/4.12 |
% 15.43/4.12 | Equations (420) can reduce 138 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (321) ~ (all_0_5_5 = e2)
% 15.43/4.12 | (643) all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (292), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (543) all_0_9_9 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (543) can reduce 538 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (538) ~ (all_0_9_9 = e0)
% 15.43/4.12 | (602) all_0_9_9 = e4
% 15.43/4.12 |
% 15.43/4.12 | Equations (602) can reduce 142 to:
% 15.43/4.12 | (24) ~ (e4 = e3)
% 15.43/4.12 |
% 15.43/4.12 | Equations (602) can reduce 285 to:
% 15.43/4.12 | (210) ~ (e4 = e1)
% 15.43/4.12 |
% 15.43/4.12 | Equations (602) can reduce 538 to:
% 15.43/4.12 | (7) ~ (e4 = e0)
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (643), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (303) all_0_10_10 = e2
% 15.43/4.12 |
% 15.43/4.12 | Equations (303) can reduce 286 to:
% 15.43/4.12 | (138) ~ (e2 = e1)
% 15.43/4.12 |
% 15.43/4.12 | Equations (303) can reduce 390 to:
% 15.43/4.12 | (47) ~ (e2 = e0)
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (59), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (1434) unit = e1
% 15.43/4.12 |
% 15.43/4.12 | From (1434) and (108) follows:
% 15.43/4.12 | (2696) op(e0, e1) = e0
% 15.43/4.12 |
% 15.43/4.12 | Instantiating formula (120) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 15.43/4.12 | (552) e2 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (552) can reduce 47 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (1438) ~ (unit = e1)
% 15.43/4.12 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (1439), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (1440) unit = e0
% 15.43/4.12 |
% 15.43/4.12 | From (1440) and (172) follows:
% 15.43/4.12 | (2244) op(e0, e1) = e1
% 15.43/4.12 |
% 15.43/4.12 | Instantiating formula (120) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields:
% 15.43/4.12 | (420) e2 = e1
% 15.43/4.12 |
% 15.43/4.12 | Equations (420) can reduce 138 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (387) ~ (unit = e0)
% 15.43/4.12 | (1443) unit = e4 | unit = e3 | unit = e2
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (1443), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (1444) unit = e3
% 15.43/4.12 |
% 15.43/4.12 | Equations (1444) can reduce 1438 to:
% 15.43/4.12 | (132) ~ (e3 = e1)
% 15.43/4.12 |
% 15.43/4.12 | From (1444) and (186) follows:
% 15.43/4.12 | (2251) op(e1, e3) = e1
% 15.43/4.12 |
% 15.43/4.12 | Instantiating formula (120) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 15.43/4.12 | (299) e3 = e1
% 15.43/4.12 |
% 15.43/4.12 | Equations (299) can reduce 132 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (343) ~ (unit = e3)
% 15.43/4.12 | (1453) unit = e4 | unit = e2
% 15.43/4.12 |
% 15.43/4.12 +-Applying beta-rule and splitting (1453), into two cases.
% 15.43/4.12 |-Branch one:
% 15.43/4.12 | (1454) unit = e4
% 15.43/4.12 |
% 15.43/4.12 | From (1454) and (108) follows:
% 15.43/4.12 | (1458) op(e0, e4) = e0
% 15.43/4.12 |
% 15.43/4.12 | Instantiating formula (120) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields:
% 15.43/4.12 | (761) e3 = e0
% 15.43/4.12 |
% 15.43/4.12 | Equations (761) can reduce 64 to:
% 15.43/4.12 | (247) $false
% 15.43/4.12 |
% 15.43/4.12 |-The branch is then unsatisfiable
% 15.43/4.12 |-Branch two:
% 15.43/4.12 | (349) ~ (unit = e4)
% 15.43/4.13 | (1470) unit = e2
% 15.43/4.13 |
% 15.43/4.13 | From (1470) and (108) follows:
% 15.43/4.13 | (1472) op(e0, e2) = e0
% 15.43/4.13 |
% 15.43/4.13 | Instantiating formula (120) with e0, e2, e0, e1 and discharging atoms op(e0, e2) = e1, op(e0, e2) = e0, yields:
% 15.43/4.13 | (246) e1 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (246) can reduce 128 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (294) ~ (all_0_10_10 = e2)
% 15.43/4.13 | (655) all_0_14_14 = e2 | all_0_17_17 = e2
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (174), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (1500) all_0_16_16 = e4
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (1500,435) yields a new equation:
% 15.43/4.13 | (901) e4 = e3
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 901 yields:
% 15.43/4.13 | (873) e4 = e3
% 15.43/4.13 |
% 15.43/4.13 | Equations (873) can reduce 24 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (1300) ~ (all_0_16_16 = e4)
% 15.43/4.13 | (2730) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_20_20 = e4
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (29), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (927) all_0_0_0 = e4
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (927,795) yields a new equation:
% 15.43/4.13 | (1496) e4 = e0
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 1496 yields:
% 15.43/4.13 | (911) e4 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (911) can reduce 7 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (354) ~ (all_0_0_0 = e4)
% 15.43/4.13 | (1158) all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4
% 15.43/4.13 |
% 15.43/4.13 | Equations (795) can reduce 354 to:
% 15.43/4.13 | (796) ~ (e4 = e0)
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 796 yields:
% 15.43/4.13 | (7) ~ (e4 = e0)
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (2730), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (688) all_0_17_17 = e4
% 15.43/4.13 |
% 15.43/4.13 | Equations (688) can reduce 328 to:
% 15.43/4.13 | (194) ~ (e4 = e2)
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (655), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (293) all_0_14_14 = e2
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (310,293) yields a new equation:
% 15.43/4.13 | (657) e3 = e2
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 657 yields:
% 15.43/4.13 | (311) e3 = e2
% 15.43/4.13 |
% 15.43/4.13 | Equations (311) can reduce 191 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (326) ~ (all_0_14_14 = e2)
% 15.43/4.13 | (458) all_0_17_17 = e2
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (688,458) yields a new equation:
% 15.43/4.13 | (470) e4 = e2
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 470 yields:
% 15.43/4.13 | (471) e4 = e2
% 15.43/4.13 |
% 15.43/4.13 | Equations (471) can reduce 194 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (992) ~ (all_0_17_17 = e4)
% 15.43/4.13 | (2751) all_0_18_18 = e4 | all_0_20_20 = e4
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (2751), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (365) all_0_18_18 = e4
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (365,270) yields a new equation:
% 15.43/4.13 | (331) e4 = e1
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 331 yields:
% 15.43/4.13 | (332) e4 = e1
% 15.43/4.13 |
% 15.43/4.13 | Equations (332) can reduce 210 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (352) ~ (all_0_18_18 = e4)
% 15.43/4.13 | (910) all_0_20_20 = e4
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (910,249) yields a new equation:
% 15.43/4.13 | (1496) e4 = e0
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 1496 yields:
% 15.43/4.13 | (911) e4 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (911) can reduce 7 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (995) ~ (all_0_16_16 = e3)
% 15.43/4.13 | (996) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (87), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (572) all_0_4_4 = e3
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (536,572) yields a new equation:
% 15.43/4.13 | (761) e3 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (761) can reduce 64 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (436) ~ (all_0_4_4 = e3)
% 15.43/4.13 | (2404) all_0_13_13 = e3 | all_0_16_16 = e3
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (2404), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (298) all_0_13_13 = e3
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (224,298) yields a new equation:
% 15.43/4.13 | (299) e3 = e1
% 15.43/4.13 |
% 15.43/4.13 | Equations (299) can reduce 132 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (301) ~ (all_0_13_13 = e3)
% 15.43/4.13 | (435) all_0_16_16 = e3
% 15.43/4.13 |
% 15.43/4.13 | Equations (435) can reduce 995 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (554) ~ (all_0_11_11 = e0)
% 15.43/4.13 | (555) all_0_12_12 = e0
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (282,555) yields a new equation:
% 15.43/4.13 | (245) e1 = e0
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 245 yields:
% 15.43/4.13 | (246) e1 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (246) can reduce 128 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (787) ~ (all_0_7_7 = e3)
% 15.43/4.13 | (788) all_0_8_8 = e3
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (872,788) yields a new equation:
% 15.43/4.13 | (901) e4 = e3
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 901 yields:
% 15.43/4.13 | (873) e4 = e3
% 15.43/4.13 |
% 15.43/4.13 | Equations (873) can reduce 24 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (558) ~ (all_0_4_4 = e0)
% 15.43/4.13 | (563) all_0_9_9 = e0 | all_0_16_16 = e0
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (148), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (564) all_0_4_4 = e1
% 15.43/4.13 |
% 15.43/4.13 | Equations (564) can reduce 225 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (225) ~ (all_0_4_4 = e1)
% 15.43/4.13 | (567) all_0_4_4 = e4 | all_0_4_4 = e3 | all_0_4_4 = e0
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (567), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (536) all_0_4_4 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (536) can reduce 558 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (558) ~ (all_0_4_4 = e0)
% 15.43/4.13 | (571) all_0_4_4 = e4 | all_0_4_4 = e3
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (563), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (543) all_0_9_9 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (543) can reduce 180 to:
% 15.43/4.13 | (1727) ~ (all_0_11_11 = e0)
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 1727 yields:
% 15.43/4.13 | (554) ~ (all_0_11_11 = e0)
% 15.43/4.13 |
% 15.43/4.13 | Equations (543) can reduce 107 to:
% 15.43/4.13 | (2620) ~ (all_0_16_16 = e0)
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 2620 yields:
% 15.43/4.13 | (1405) ~ (all_0_16_16 = e0)
% 15.43/4.13 |
% 15.43/4.13 | Equations (543) can reduce 285 to:
% 15.43/4.13 | (541) ~ (e1 = e0)
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 541 yields:
% 15.43/4.13 | (128) ~ (e1 = e0)
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (162), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (767) all_0_2_2 = e0
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (767,1371) yields a new equation:
% 15.43/4.13 | (246) e1 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (246) can reduce 128 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (770) ~ (all_0_2_2 = e0)
% 15.43/4.13 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (571), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (572) all_0_4_4 = e3
% 15.43/4.13 |
% 15.43/4.13 | Equations (572) can reduce 41 to:
% 15.43/4.13 | (1704) ~ (all_0_7_7 = e3)
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 1704 yields:
% 15.43/4.13 | (787) ~ (all_0_7_7 = e3)
% 15.43/4.13 |
% 15.43/4.13 | Equations (572) can reduce 187 to:
% 15.43/4.13 | (191) ~ (e3 = e2)
% 15.43/4.13 |
% 15.43/4.13 | Equations (572) can reduce 225 to:
% 15.43/4.13 | (132) ~ (e3 = e1)
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (37), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (254) all_0_16_16 = e1
% 15.43/4.13 |
% 15.43/4.13 | Equations (254) can reduce 231 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (231) ~ (all_0_16_16 = e1)
% 15.43/4.13 | (1682) all_0_16_16 = e4 | all_0_16_16 = e3 | all_0_16_16 = e0
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (771), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (778) all_0_7_7 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (778) can reduce 209 to:
% 15.43/4.13 | (796) ~ (e4 = e0)
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 796 yields:
% 15.43/4.13 | (7) ~ (e4 = e0)
% 15.43/4.13 |
% 15.43/4.13 | Equations (778) can reduce 787 to:
% 15.43/4.13 | (713) ~ (e3 = e0)
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 713 yields:
% 15.43/4.13 | (64) ~ (e3 = e0)
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (170), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (602) all_0_9_9 = e4
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (543,602) yields a new equation:
% 15.43/4.13 | (911) e4 = e0
% 15.43/4.13 |
% 15.43/4.13 | Equations (911) can reduce 7 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (577) ~ (all_0_9_9 = e4)
% 15.43/4.13 | (957) all_0_10_10 = e4 | all_0_12_12 = e4
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (179), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (755) all_0_2_2 = e3
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (1371,755) yields a new equation:
% 15.43/4.13 | (299) e3 = e1
% 15.43/4.13 |
% 15.43/4.13 | Equations (299) can reduce 132 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (925) ~ (all_0_2_2 = e3)
% 15.43/4.13 | (926) all_0_7_7 = e3 | all_0_19_19 = e3
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (957), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (589) all_0_10_10 = e4
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (163), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (303) all_0_10_10 = e2
% 15.43/4.13 |
% 15.43/4.13 | Combining equations (589,303) yields a new equation:
% 15.43/4.13 | (470) e4 = e2
% 15.43/4.13 |
% 15.43/4.13 | Simplifying 470 yields:
% 15.43/4.13 | (471) e4 = e2
% 15.43/4.13 |
% 15.43/4.13 | Equations (471) can reduce 194 to:
% 15.43/4.13 | (247) $false
% 15.43/4.13 |
% 15.43/4.13 |-The branch is then unsatisfiable
% 15.43/4.13 |-Branch two:
% 15.43/4.13 | (294) ~ (all_0_10_10 = e2)
% 15.43/4.13 | (306) all_0_11_11 = e2 | all_0_12_12 = e2
% 15.43/4.13 |
% 15.43/4.13 | Equations (589) can reduce 294 to:
% 15.43/4.13 | (194) ~ (e4 = e2)
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (3), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 15.43/4.13 |
% 15.43/4.13 +-Applying beta-rule and splitting (316), into two cases.
% 15.43/4.13 |-Branch one:
% 15.43/4.13 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (317), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (318), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 15.43/4.14 |
% 15.43/4.14 | Applying alpha-rule on (319) yields:
% 15.43/4.14 | (320) ~ (all_0_8_8 = e2)
% 15.43/4.14 | (321) ~ (all_0_5_5 = e2)
% 15.43/4.14 | (322) ~ (all_0_11_11 = e2)
% 15.43/4.14 | (323) ~ (all_0_12_12 = e2)
% 15.43/4.14 | (324) ~ (all_0_20_20 = e2)
% 15.43/4.14 | (325) ~ (unit = e2)
% 15.43/4.14 | (326) ~ (all_0_14_14 = e2)
% 15.43/4.14 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 15.43/4.14 | (328) ~ (all_0_17_17 = e2)
% 15.43/4.14 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 15.43/4.14 | (330) all_0_1_1 = e4
% 15.43/4.14 |
% 15.43/4.14 | Equations (310) can reduce 326 to:
% 15.43/4.14 | (191) ~ (e3 = e2)
% 15.43/4.14 |
% 15.43/4.14 | Equations (249) can reduce 324 to:
% 15.43/4.14 | (539) ~ (e2 = e0)
% 15.43/4.14 |
% 15.43/4.14 | Simplifying 539 yields:
% 15.43/4.14 | (47) ~ (e2 = e0)
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (99), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (634) all_0_7_7 = e2
% 15.43/4.14 |
% 15.43/4.14 | Combining equations (634,778) yields a new equation:
% 15.43/4.14 | (779) e2 = e0
% 15.43/4.14 |
% 15.43/4.14 | Simplifying 779 yields:
% 15.43/4.14 | (552) e2 = e0
% 15.43/4.14 |
% 15.43/4.14 | Equations (552) can reduce 47 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (444) ~ (all_0_7_7 = e2)
% 15.43/4.14 | (637) all_0_11_11 = e2 | all_0_19_19 = e2
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (926), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (784) all_0_7_7 = e3
% 15.43/4.14 |
% 15.43/4.14 | Combining equations (784,778) yields a new equation:
% 15.43/4.14 | (1006) e3 = e0
% 15.43/4.14 |
% 15.43/4.14 | Simplifying 1006 yields:
% 15.43/4.14 | (761) e3 = e0
% 15.43/4.14 |
% 15.43/4.14 | Equations (761) can reduce 64 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (787) ~ (all_0_7_7 = e3)
% 15.43/4.14 | (946) all_0_19_19 = e3
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (637), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (307) all_0_11_11 = e2
% 15.43/4.14 |
% 15.43/4.14 | Equations (307) can reduce 322 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (322) ~ (all_0_11_11 = e2)
% 15.43/4.14 | (651) all_0_19_19 = e2
% 15.43/4.14 |
% 15.43/4.14 | Combining equations (946,651) yields a new equation:
% 15.43/4.14 | (657) e3 = e2
% 15.43/4.14 |
% 15.43/4.14 | Simplifying 657 yields:
% 15.43/4.14 | (311) e3 = e2
% 15.43/4.14 |
% 15.43/4.14 | Equations (311) can reduce 191 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 15.43/4.14 |
% 15.43/4.14 | Applying alpha-rule on (334) yields:
% 15.43/4.14 | (301) ~ (all_0_13_13 = e3)
% 15.43/4.14 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 15.43/4.14 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 15.43/4.14 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 15.43/4.14 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 15.43/4.14 | (340) ~ (all_0_15_15 = e3)
% 15.43/4.14 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 15.43/4.14 | (303) all_0_10_10 = e2
% 15.43/4.14 | (343) ~ (unit = e3)
% 15.43/4.14 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 15.43/4.14 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 15.43/4.14 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 15.43/4.14 |
% 15.43/4.14 | Combining equations (589,303) yields a new equation:
% 15.43/4.14 | (470) e4 = e2
% 15.43/4.14 |
% 15.43/4.14 | Simplifying 470 yields:
% 15.43/4.14 | (471) e4 = e2
% 15.43/4.14 |
% 15.43/4.14 | Equations (471) can reduce 194 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 15.43/4.14 |
% 15.43/4.14 | Applying alpha-rule on (348) yields:
% 15.43/4.14 | (349) ~ (unit = e4)
% 15.43/4.14 | (350) ~ (all_0_6_6 = e4)
% 15.43/4.14 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 15.43/4.14 | (352) ~ (all_0_18_18 = e4)
% 15.43/4.14 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 15.43/4.14 | (354) ~ (all_0_0_0 = e4)
% 15.43/4.14 | (355) ~ (all_0_10_10 = e4)
% 15.43/4.14 | (356) ~ (all_0_3_3 = e4)
% 15.43/4.14 | (224) all_0_13_13 = e1
% 15.43/4.14 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 15.43/4.14 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 15.43/4.14 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 15.43/4.14 |
% 15.43/4.14 | Equations (589) can reduce 355 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 15.43/4.14 |
% 15.43/4.14 | Applying alpha-rule on (379) yields:
% 15.43/4.14 | (380) all_0_15_15 = e2
% 15.43/4.14 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 15.43/4.14 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 15.43/4.14 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 15.43/4.14 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 15.43/4.14 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 15.43/4.14 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 15.43/4.14 | (387) ~ (unit = e0)
% 15.43/4.14 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 15.43/4.14 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 15.43/4.14 | (390) ~ (all_0_10_10 = e0)
% 15.43/4.14 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 15.43/4.14 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (174), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (1500) all_0_16_16 = e4
% 15.43/4.14 |
% 15.43/4.14 | Equations (1500) can reduce 231 to:
% 15.43/4.14 | (210) ~ (e4 = e1)
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (386), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (710) ~ (all_0_7_7 = e0)
% 15.43/4.14 |
% 15.43/4.14 | Equations (778) can reduce 710 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (778) all_0_7_7 = e0
% 15.43/4.14 | (266) all_0_8_8 = e1
% 15.43/4.14 |
% 15.43/4.14 | Combining equations (872,266) yields a new equation:
% 15.43/4.14 | (331) e4 = e1
% 15.43/4.14 |
% 15.43/4.14 | Simplifying 331 yields:
% 15.43/4.14 | (332) e4 = e1
% 15.43/4.14 |
% 15.43/4.14 | Equations (332) can reduce 210 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (1300) ~ (all_0_16_16 = e4)
% 15.43/4.14 | (2730) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_20_20 = e4
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (1682), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (1503) all_0_16_16 = e0
% 15.43/4.14 |
% 15.43/4.14 | Equations (1503) can reduce 1405 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (1405) ~ (all_0_16_16 = e0)
% 15.43/4.14 | (1690) all_0_16_16 = e4 | all_0_16_16 = e3
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (926), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (784) all_0_7_7 = e3
% 15.43/4.14 |
% 15.43/4.14 | Combining equations (784,778) yields a new equation:
% 15.43/4.14 | (1006) e3 = e0
% 15.43/4.14 |
% 15.43/4.14 | Simplifying 1006 yields:
% 15.43/4.14 | (761) e3 = e0
% 15.43/4.14 |
% 15.43/4.14 | Equations (761) can reduce 64 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (787) ~ (all_0_7_7 = e3)
% 15.43/4.14 | (946) all_0_19_19 = e3
% 15.43/4.14 |
% 15.43/4.14 | Equations (946) can reduce 57 to:
% 15.43/4.14 | (995) ~ (all_0_16_16 = e3)
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (1690), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (435) all_0_16_16 = e3
% 15.43/4.14 |
% 15.43/4.14 | Equations (435) can reduce 995 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (995) ~ (all_0_16_16 = e3)
% 15.43/4.14 | (1500) all_0_16_16 = e4
% 15.43/4.14 |
% 15.43/4.14 | Equations (1500) can reduce 1300 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 15.43/4.14 |
% 15.43/4.14 | Applying alpha-rule on (395) yields:
% 15.43/4.14 | (396) ~ (all_0_1_1 = e1)
% 15.43/4.14 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 15.43/4.14 | (227) ~ (all_0_14_14 = e1)
% 15.43/4.14 | (225) ~ (all_0_4_4 = e1)
% 15.43/4.14 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 15.43/4.14 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 15.43/4.14 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 15.43/4.14 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 15.43/4.14 | (231) ~ (all_0_16_16 = e1)
% 15.43/4.14 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 15.43/4.14 | (286) ~ (all_0_10_10 = e1)
% 15.43/4.14 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 15.43/4.14 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 15.43/4.14 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 15.43/4.14 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 15.43/4.14 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 15.43/4.14 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 15.43/4.14 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 15.43/4.14 | (285) ~ (all_0_9_9 = e1)
% 15.43/4.14 | (229) ~ (all_0_15_15 = e1)
% 15.43/4.14 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 15.43/4.14 |
% 15.43/4.14 +-Applying beta-rule and splitting (926), into two cases.
% 15.43/4.14 |-Branch one:
% 15.43/4.14 | (784) all_0_7_7 = e3
% 15.43/4.14 |
% 15.43/4.14 | Combining equations (784,778) yields a new equation:
% 15.43/4.14 | (1006) e3 = e0
% 15.43/4.14 |
% 15.43/4.14 | Simplifying 1006 yields:
% 15.43/4.14 | (761) e3 = e0
% 15.43/4.14 |
% 15.43/4.14 | Equations (761) can reduce 64 to:
% 15.43/4.14 | (247) $false
% 15.43/4.14 |
% 15.43/4.14 |-The branch is then unsatisfiable
% 15.43/4.14 |-Branch two:
% 15.43/4.14 | (787) ~ (all_0_7_7 = e3)
% 15.43/4.14 | (946) all_0_19_19 = e3
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (412), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (222) ~ (all_0_18_18 = e1)
% 15.43/4.15 |
% 15.43/4.15 | Equations (270) can reduce 222 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (270) all_0_18_18 = e1
% 15.43/4.15 | (2977) all_0_19_19 = e2 & ~ (unit = e1)
% 15.43/4.15 |
% 15.43/4.15 | Applying alpha-rule on (2977) yields:
% 15.43/4.15 | (651) all_0_19_19 = e2
% 15.43/4.15 | (1438) ~ (unit = e1)
% 15.43/4.15 |
% 15.43/4.15 | Combining equations (946,651) yields a new equation:
% 15.43/4.15 | (657) e3 = e2
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 657 yields:
% 15.43/4.15 | (311) e3 = e2
% 15.43/4.15 |
% 15.43/4.15 | Equations (311) can reduce 191 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (355) ~ (all_0_10_10 = e4)
% 15.43/4.15 | (594) all_0_12_12 = e4
% 15.43/4.15 |
% 15.43/4.15 | Combining equations (594,282) yields a new equation:
% 15.43/4.15 | (331) e4 = e1
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 331 yields:
% 15.43/4.15 | (332) e4 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (332) can reduce 210 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (710) ~ (all_0_7_7 = e0)
% 15.43/4.15 | (783) all_0_11_11 = e0 | all_0_19_19 = e0
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (783), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (551) all_0_11_11 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (551) can reduce 554 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (554) ~ (all_0_11_11 = e0)
% 15.43/4.15 | (922) all_0_19_19 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (922) can reduce 253 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (436) ~ (all_0_4_4 = e3)
% 15.43/4.15 | (575) all_0_4_4 = e4
% 15.43/4.15 |
% 15.43/4.15 | Equations (575) can reduce 697 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (538) ~ (all_0_9_9 = e0)
% 15.43/4.15 | (1503) all_0_16_16 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (1503) can reduce 1405 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (701) ~ (all_0_8_8 = e4)
% 15.43/4.15 | (954) all_0_8_8 = e2
% 15.43/4.15 |
% 15.43/4.15 | Equations (954) can reduce 320 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (789) ~ (all_0_3_3 = e3)
% 15.43/4.15 | (800) all_0_3_3 = e4
% 15.43/4.15 |
% 15.43/4.15 | Equations (800) can reduce 356 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (1012) ~ (all_0_12_12 = e1)
% 15.43/4.15 | (1013) all_0_15_15 = e1 | all_0_20_20 = e1
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (1013), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (1014) all_0_15_15 = e1
% 15.43/4.15 |
% 15.43/4.15 | Combining equations (1014,380) yields a new equation:
% 15.43/4.15 | (420) e2 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (420) can reduce 138 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (229) ~ (all_0_15_15 = e1)
% 15.43/4.15 | (1017) all_0_20_20 = e1
% 15.43/4.15 |
% 15.43/4.15 | Combining equations (1017,249) yields a new equation:
% 15.43/4.15 | (245) e1 = e0
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 245 yields:
% 15.43/4.15 | (246) e1 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (246) can reduce 128 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (216) ~ (all_0_2_2 = e1)
% 15.43/4.15 | (1374) all_0_2_2 = e3 | all_0_2_2 = e0
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (14), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (1371) all_0_2_2 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (1371) can reduce 216 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (216) ~ (all_0_2_2 = e1)
% 15.43/4.15 | (2184) all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (2184), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (1055) all_0_7_7 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (1055) can reduce 276 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (276) ~ (all_0_7_7 = e1)
% 15.43/4.15 | (2188) all_0_11_11 = e1 | all_0_19_19 = e1
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (2188), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (1794) all_0_11_11 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (1794) can reduce 48 to:
% 15.43/4.15 | (216) ~ (all_0_2_2 = e1)
% 15.43/4.15 |
% 15.43/4.15 | Equations (1794) can reduce 180 to:
% 15.43/4.15 | (285) ~ (all_0_9_9 = e1)
% 15.43/4.15 |
% 15.43/4.15 | Equations (1794) can reduce 202 to:
% 15.43/4.15 | (286) ~ (all_0_10_10 = e1)
% 15.43/4.15 |
% 15.43/4.15 | Equations (1794) can reduce 206 to:
% 15.43/4.15 | (2113) ~ (all_0_19_19 = e1)
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 2113 yields:
% 15.43/4.15 | (1021) ~ (all_0_19_19 = e1)
% 15.43/4.15 |
% 15.43/4.15 | Equations (1794) can reduce 34 to:
% 15.43/4.15 | (279) ~ (e4 = e1)
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 279 yields:
% 15.43/4.15 | (210) ~ (e4 = e1)
% 15.43/4.15 |
% 15.43/4.15 | From (1794) and (149) follows:
% 15.43/4.15 | (2196) op(e2, e1) = e1
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (155), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (692) all_0_0_0 = e1
% 15.43/4.15 |
% 15.43/4.15 | Combining equations (692,795) yields a new equation:
% 15.43/4.15 | (245) e1 = e0
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 245 yields:
% 15.43/4.15 | (246) e1 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (246) can reduce 128 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (214) ~ (all_0_0_0 = e1)
% 15.43/4.15 | (2462) all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (2462), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (213) all_0_1_1 = e1
% 15.43/4.15 |
% 15.43/4.15 | Combining equations (213,330) yields a new equation:
% 15.43/4.15 | (332) e4 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (332) can reduce 210 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (396) ~ (all_0_1_1 = e1)
% 15.43/4.15 | (2467) all_0_2_2 = e1 | all_0_3_3 = e1
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (2467), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (1371) all_0_2_2 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (1371) can reduce 216 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (216) ~ (all_0_2_2 = e1)
% 15.43/4.15 | (258) all_0_3_3 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (258) can reduce 84 to:
% 15.43/4.15 | (3051) ~ (all_0_12_12 = e1)
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 3051 yields:
% 15.43/4.15 | (1012) ~ (all_0_12_12 = e1)
% 15.43/4.15 |
% 15.43/4.15 | Equations (258) can reduce 250 to:
% 15.43/4.15 | (128) ~ (e1 = e0)
% 15.43/4.15 |
% 15.43/4.15 | From (258) and (71) follows:
% 15.43/4.15 | (2159) op(e4, e0) = e1
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (166), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (282) all_0_12_12 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (282) can reduce 1012 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (1012) ~ (all_0_12_12 = e1)
% 15.43/4.15 | (3058) all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e0
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (1374), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (767) all_0_2_2 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (767) can reduce 770 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (770) ~ (all_0_2_2 = e0)
% 15.43/4.15 | (755) all_0_2_2 = e3
% 15.43/4.15 |
% 15.43/4.15 | Equations (755) can reduce 97 to:
% 15.43/4.15 | (2659) ~ (all_0_19_19 = e3)
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 2659 yields:
% 15.43/4.15 | (1004) ~ (all_0_19_19 = e3)
% 15.43/4.15 |
% 15.43/4.15 | Equations (755) can reduce 770 to:
% 15.43/4.15 | (64) ~ (e3 = e0)
% 15.43/4.15 |
% 15.43/4.15 | From (755) and (17) follows:
% 15.43/4.15 | (3066) op(e4, e1) = e3
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (162), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (767) all_0_2_2 = e0
% 15.43/4.15 |
% 15.43/4.15 | Combining equations (767,755) yields a new equation:
% 15.43/4.15 | (761) e3 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (761) can reduce 64 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (770) ~ (all_0_2_2 = e0)
% 15.43/4.15 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (771), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (778) all_0_7_7 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (778) can reduce 41 to:
% 15.43/4.15 | (558) ~ (all_0_4_4 = e0)
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (13), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (536) all_0_4_4 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (536) can reduce 558 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (558) ~ (all_0_4_4 = e0)
% 15.43/4.15 | (563) all_0_9_9 = e0 | all_0_16_16 = e0
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (563), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (543) all_0_9_9 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (543) can reduce 176 to:
% 15.43/4.15 | (579) ~ (all_0_10_10 = e0)
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 579 yields:
% 15.43/4.15 | (390) ~ (all_0_10_10 = e0)
% 15.43/4.15 |
% 15.43/4.15 | Equations (543) can reduce 183 to:
% 15.43/4.15 | (1417) ~ (all_0_12_12 = e0)
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 1417 yields:
% 15.43/4.15 | (1418) ~ (all_0_12_12 = e0)
% 15.43/4.15 |
% 15.43/4.15 | Equations (543) can reduce 107 to:
% 15.43/4.15 | (2620) ~ (all_0_16_16 = e0)
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 2620 yields:
% 15.43/4.15 | (1405) ~ (all_0_16_16 = e0)
% 15.43/4.15 |
% 15.43/4.15 | Equations (543) can reduce 142 to:
% 15.43/4.15 | (713) ~ (e3 = e0)
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 713 yields:
% 15.43/4.15 | (64) ~ (e3 = e0)
% 15.43/4.15 |
% 15.43/4.15 | Equations (543) can reduce 285 to:
% 15.43/4.15 | (541) ~ (e1 = e0)
% 15.43/4.15 |
% 15.43/4.15 | Simplifying 541 yields:
% 15.43/4.15 | (128) ~ (e1 = e0)
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (3058), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (555) all_0_12_12 = e0
% 15.43/4.15 |
% 15.43/4.15 | Equations (555) can reduce 1418 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.15 |-The branch is then unsatisfiable
% 15.43/4.15 |-Branch two:
% 15.43/4.15 | (1418) ~ (all_0_12_12 = e0)
% 15.43/4.15 | (3092) all_0_12_12 = e4 | all_0_12_12 = e2
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (3092), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (594) all_0_12_12 = e4
% 15.43/4.15 |
% 15.43/4.15 | Equations (594) can reduce 45 to:
% 15.43/4.15 | (355) ~ (all_0_10_10 = e4)
% 15.43/4.15 |
% 15.43/4.15 | From (594) and (19) follows:
% 15.43/4.15 | (1744) op(e2, e0) = e4
% 15.43/4.15 |
% 15.43/4.15 +-Applying beta-rule and splitting (30), into two cases.
% 15.43/4.15 |-Branch one:
% 15.43/4.15 | (581) all_0_10_10 = e1
% 15.43/4.15 |
% 15.43/4.15 | Equations (581) can reduce 286 to:
% 15.43/4.15 | (247) $false
% 15.43/4.15 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (286) ~ (all_0_10_10 = e1)
% 15.43/4.16 | (584) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e0
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (584), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (547) all_0_10_10 = e0
% 15.43/4.16 |
% 15.43/4.16 | Equations (547) can reduce 390 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (390) ~ (all_0_10_10 = e0)
% 15.43/4.16 | (588) all_0_10_10 = e4 | all_0_10_10 = e2
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (588), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (589) all_0_10_10 = e4
% 15.43/4.16 |
% 15.43/4.16 | Equations (589) can reduce 355 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (355) ~ (all_0_10_10 = e4)
% 15.43/4.16 | (303) all_0_10_10 = e2
% 15.43/4.16 |
% 15.43/4.16 | Equations (303) can reduce 286 to:
% 15.43/4.16 | (138) ~ (e2 = e1)
% 15.43/4.16 |
% 15.43/4.16 | Equations (303) can reduce 390 to:
% 15.43/4.16 | (47) ~ (e2 = e0)
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (99), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (634) all_0_7_7 = e2
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (778,634) yields a new equation:
% 15.43/4.16 | (552) e2 = e0
% 15.43/4.16 |
% 15.43/4.16 | Equations (552) can reduce 47 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (444) ~ (all_0_7_7 = e2)
% 15.43/4.16 | (637) all_0_11_11 = e2 | all_0_19_19 = e2
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (11), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (435) all_0_16_16 = e3
% 15.43/4.16 |
% 15.43/4.16 | Equations (435) can reduce 57 to:
% 15.43/4.16 | (2659) ~ (all_0_19_19 = e3)
% 15.43/4.16 |
% 15.43/4.16 | Simplifying 2659 yields:
% 15.43/4.16 | (1004) ~ (all_0_19_19 = e3)
% 15.43/4.16 |
% 15.43/4.16 | Equations (435) can reduce 231 to:
% 15.43/4.16 | (132) ~ (e3 = e1)
% 15.43/4.16 |
% 15.43/4.16 | Equations (435) can reduce 1405 to:
% 15.43/4.16 | (64) ~ (e3 = e0)
% 15.43/4.16 |
% 15.43/4.16 | From (435) and (78) follows:
% 15.43/4.16 | (1433) op(e0, e4) = e3
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (637), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (307) all_0_11_11 = e2
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (1794,307) yields a new equation:
% 15.43/4.16 | (420) e2 = e1
% 15.43/4.16 |
% 15.43/4.16 | Equations (420) can reduce 138 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (322) ~ (all_0_11_11 = e2)
% 15.43/4.16 | (651) all_0_19_19 = e2
% 15.43/4.16 |
% 15.43/4.16 | Equations (651) can reduce 1004 to:
% 15.43/4.16 | (308) ~ (e3 = e2)
% 15.43/4.16 |
% 15.43/4.16 | Simplifying 308 yields:
% 15.43/4.16 | (191) ~ (e3 = e2)
% 15.43/4.16 |
% 15.43/4.16 | Equations (651) can reduce 1021 to:
% 15.43/4.16 | (138) ~ (e2 = e1)
% 15.43/4.16 |
% 15.43/4.16 | From (651) and (126) follows:
% 15.43/4.16 | (2178) op(e0, e1) = e2
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (154), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (2586) all_0_3_3 = e3
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (2586,258) yields a new equation:
% 15.43/4.16 | (773) e3 = e1
% 15.43/4.16 |
% 15.43/4.16 | Simplifying 773 yields:
% 15.43/4.16 | (299) e3 = e1
% 15.43/4.16 |
% 15.43/4.16 | Equations (299) can reduce 132 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (789) ~ (all_0_3_3 = e3)
% 15.43/4.16 | (3135) all_0_8_8 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (3135), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (788) all_0_8_8 = e3
% 15.43/4.16 |
% 15.43/4.16 | From (788) and (181) follows:
% 15.43/4.16 | (3137) op(e3, e0) = e3
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (59), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (1434) unit = e1
% 15.43/4.16 |
% 15.43/4.16 | From (1434) and (151) follows:
% 15.43/4.16 | (2233) op(e2, e1) = e2
% 15.43/4.16 |
% 15.43/4.16 | From (1434) and (108) follows:
% 15.43/4.16 | (2696) op(e0, e1) = e0
% 15.43/4.16 |
% 15.43/4.16 | Instantiating formula (120) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 15.43/4.16 | (420) e2 = e1
% 15.43/4.16 |
% 15.43/4.16 | Instantiating formula (120) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 15.43/4.16 | (552) e2 = e0
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (552,420) yields a new equation:
% 15.43/4.16 | (246) e1 = e0
% 15.43/4.16 |
% 15.43/4.16 | Equations (246) can reduce 128 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (1438) ~ (unit = e1)
% 15.43/4.16 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (1439), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (1440) unit = e0
% 15.43/4.16 |
% 15.43/4.16 | From (1440) and (15) follows:
% 15.43/4.16 | (3148) op(e4, e0) = e4
% 15.43/4.16 |
% 15.43/4.16 | From (1440) and (151) follows:
% 15.43/4.16 | (3149) op(e2, e0) = e2
% 15.43/4.16 |
% 15.43/4.16 | Instantiating formula (120) with e4, e0, e4, e1 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e1, yields:
% 15.43/4.16 | (332) e4 = e1
% 15.43/4.16 |
% 15.43/4.16 | Instantiating formula (120) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields:
% 15.43/4.16 | (471) e4 = e2
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (332,471) yields a new equation:
% 15.43/4.16 | (420) e2 = e1
% 15.43/4.16 |
% 15.43/4.16 | Equations (420) can reduce 138 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (387) ~ (unit = e0)
% 15.43/4.16 | (1443) unit = e4 | unit = e3 | unit = e2
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (1443), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (1444) unit = e3
% 15.43/4.16 |
% 15.43/4.16 | From (1444) and (46) follows:
% 15.43/4.16 | (3157) op(e3, e0) = e0
% 15.43/4.16 |
% 15.43/4.16 | From (1444) and (186) follows:
% 15.43/4.16 | (2251) op(e1, e3) = e1
% 15.43/4.16 |
% 15.43/4.16 | Instantiating formula (120) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 15.43/4.16 | (761) e3 = e0
% 15.43/4.16 |
% 15.43/4.16 | Instantiating formula (120) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 15.43/4.16 | (299) e3 = e1
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (299,761) yields a new equation:
% 15.43/4.16 | (245) e1 = e0
% 15.43/4.16 |
% 15.43/4.16 | Simplifying 245 yields:
% 15.43/4.16 | (246) e1 = e0
% 15.43/4.16 |
% 15.43/4.16 | Equations (246) can reduce 128 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (343) ~ (unit = e3)
% 15.43/4.16 | (1453) unit = e4 | unit = e2
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (1453), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (1454) unit = e4
% 15.43/4.16 |
% 15.43/4.16 | From (1454) and (172) follows:
% 15.43/4.16 | (3167) op(e4, e1) = e1
% 15.43/4.16 |
% 15.43/4.16 | From (1454) and (108) follows:
% 15.43/4.16 | (1458) op(e0, e4) = e0
% 15.43/4.16 |
% 15.43/4.16 | Instantiating formula (120) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields:
% 15.43/4.16 | (299) e3 = e1
% 15.43/4.16 |
% 15.43/4.16 | Instantiating formula (120) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields:
% 15.43/4.16 | (761) e3 = e0
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (299,761) yields a new equation:
% 15.43/4.16 | (245) e1 = e0
% 15.43/4.16 |
% 15.43/4.16 | Simplifying 245 yields:
% 15.43/4.16 | (246) e1 = e0
% 15.43/4.16 |
% 15.43/4.16 | Equations (246) can reduce 128 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (349) ~ (unit = e4)
% 15.43/4.16 | (1470) unit = e2
% 15.43/4.16 |
% 15.43/4.16 | From (1470) and (108) follows:
% 15.43/4.16 | (1472) op(e0, e2) = e0
% 15.43/4.16 |
% 15.43/4.16 | Instantiating formula (120) with e0, e2, e0, e1 and discharging atoms op(e0, e2) = e1, op(e0, e2) = e0, yields:
% 15.43/4.16 | (246) e1 = e0
% 15.43/4.16 |
% 15.43/4.16 | Equations (246) can reduce 128 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (834) ~ (all_0_8_8 = e3)
% 15.43/4.16 | (3180) all_0_15_15 = e3 | all_0_20_20 = e3
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (3180), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (314) all_0_15_15 = e3
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (314,380) yields a new equation:
% 15.43/4.16 | (657) e3 = e2
% 15.43/4.16 |
% 15.43/4.16 | Simplifying 657 yields:
% 15.43/4.16 | (311) e3 = e2
% 15.43/4.16 |
% 15.43/4.16 | Equations (311) can reduce 191 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (340) ~ (all_0_15_15 = e3)
% 15.43/4.16 | (1005) all_0_20_20 = e3
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (249,1005) yields a new equation:
% 15.43/4.16 | (761) e3 = e0
% 15.43/4.16 |
% 15.43/4.16 | Equations (761) can reduce 64 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (995) ~ (all_0_16_16 = e3)
% 15.43/4.16 | (996) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (637), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (307) all_0_11_11 = e2
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (1794,307) yields a new equation:
% 15.43/4.16 | (420) e2 = e1
% 15.43/4.16 |
% 15.43/4.16 | Equations (420) can reduce 138 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (322) ~ (all_0_11_11 = e2)
% 15.43/4.16 | (651) all_0_19_19 = e2
% 15.43/4.16 |
% 15.43/4.16 | Equations (651) can reduce 1004 to:
% 15.43/4.16 | (308) ~ (e3 = e2)
% 15.43/4.16 |
% 15.43/4.16 | Simplifying 308 yields:
% 15.43/4.16 | (191) ~ (e3 = e2)
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (996), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (684) all_0_17_17 = e3
% 15.43/4.16 |
% 15.43/4.16 | Equations (684) can reduce 432 to:
% 15.43/4.16 | (247) $false
% 15.43/4.16 |
% 15.43/4.16 |-The branch is then unsatisfiable
% 15.43/4.16 |-Branch two:
% 15.43/4.16 | (432) ~ (all_0_17_17 = e3)
% 15.43/4.16 | (1000) all_0_19_19 = e3 | all_0_20_20 = e3
% 15.43/4.16 |
% 15.43/4.16 +-Applying beta-rule and splitting (1000), into two cases.
% 15.43/4.16 |-Branch one:
% 15.43/4.16 | (946) all_0_19_19 = e3
% 15.43/4.16 |
% 15.43/4.16 | Combining equations (651,946) yields a new equation:
% 15.43/4.17 | (311) e3 = e2
% 15.43/4.17 |
% 15.43/4.17 | Equations (311) can reduce 191 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (1004) ~ (all_0_19_19 = e3)
% 15.43/4.17 | (1005) all_0_20_20 = e3
% 15.43/4.17 |
% 15.43/4.17 | Combining equations (1005,249) yields a new equation:
% 15.43/4.17 | (1006) e3 = e0
% 15.43/4.17 |
% 15.43/4.17 | Simplifying 1006 yields:
% 15.43/4.17 | (761) e3 = e0
% 15.43/4.17 |
% 15.43/4.17 | Equations (761) can reduce 64 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (909) ~ (all_0_12_12 = e4)
% 15.43/4.17 | (419) all_0_12_12 = e2
% 15.43/4.17 |
% 15.43/4.17 | Equations (419) can reduce 323 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (538) ~ (all_0_9_9 = e0)
% 15.43/4.17 | (1503) all_0_16_16 = e0
% 15.43/4.17 |
% 15.43/4.17 | Equations (1503) can reduce 1405 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (710) ~ (all_0_7_7 = e0)
% 15.43/4.17 | (783) all_0_11_11 = e0 | all_0_19_19 = e0
% 15.43/4.17 |
% 15.43/4.17 +-Applying beta-rule and splitting (783), into two cases.
% 15.43/4.17 |-Branch one:
% 15.43/4.17 | (551) all_0_11_11 = e0
% 15.43/4.17 |
% 15.43/4.17 | Combining equations (1794,551) yields a new equation:
% 15.43/4.17 | (245) e1 = e0
% 15.43/4.17 |
% 15.43/4.17 | Simplifying 245 yields:
% 15.43/4.17 | (246) e1 = e0
% 15.43/4.17 |
% 15.43/4.17 | Equations (246) can reduce 128 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (554) ~ (all_0_11_11 = e0)
% 15.43/4.17 | (922) all_0_19_19 = e0
% 15.43/4.17 |
% 15.43/4.17 | Equations (922) can reduce 253 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (1075) ~ (all_0_11_11 = e1)
% 15.43/4.17 | (274) all_0_19_19 = e1
% 15.43/4.17 |
% 15.43/4.17 | Equations (274) can reduce 1021 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (913) ~ (all_0_0_0 = e0)
% 15.43/4.17 | (1167) all_0_0_0 = e4 | all_0_0_0 = e3
% 15.43/4.17 |
% 15.43/4.17 +-Applying beta-rule and splitting (52), into two cases.
% 15.43/4.17 |-Branch one:
% 15.43/4.17 | (795) all_0_0_0 = e0
% 15.43/4.17 |
% 15.43/4.17 | Equations (795) can reduce 913 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (913) ~ (all_0_0_0 = e0)
% 15.43/4.17 | (914) all_0_2_2 = e0 | all_0_3_3 = e0
% 15.43/4.17 |
% 15.43/4.17 +-Applying beta-rule and splitting (914), into two cases.
% 15.43/4.17 |-Branch one:
% 15.43/4.17 | (767) all_0_2_2 = e0
% 15.43/4.17 |
% 15.43/4.17 +-Applying beta-rule and splitting (155), into two cases.
% 15.43/4.17 |-Branch one:
% 15.43/4.17 | (692) all_0_0_0 = e1
% 15.43/4.17 |
% 15.43/4.17 | Equations (692) can reduce 214 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (214) ~ (all_0_0_0 = e1)
% 15.43/4.17 | (2462) all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1
% 15.43/4.17 |
% 15.43/4.17 +-Applying beta-rule and splitting (14), into two cases.
% 15.43/4.17 |-Branch one:
% 15.43/4.17 | (1371) all_0_2_2 = e1
% 15.43/4.17 |
% 15.43/4.17 | Combining equations (1371,767) yields a new equation:
% 15.43/4.17 | (245) e1 = e0
% 15.43/4.17 |
% 15.43/4.17 | Simplifying 245 yields:
% 15.43/4.17 | (246) e1 = e0
% 15.43/4.17 |
% 15.43/4.17 | Equations (246) can reduce 128 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (216) ~ (all_0_2_2 = e1)
% 15.43/4.17 | (2184) all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1
% 15.43/4.17 |
% 15.43/4.17 | Equations (767) can reduce 216 to:
% 15.43/4.17 | (541) ~ (e1 = e0)
% 15.43/4.17 |
% 15.43/4.17 | Simplifying 541 yields:
% 15.43/4.17 | (128) ~ (e1 = e0)
% 15.43/4.17 |
% 15.43/4.17 +-Applying beta-rule and splitting (197), into two cases.
% 15.43/4.17 |-Branch one:
% 15.43/4.17 | (1168) all_0_0_0 = e3
% 15.43/4.17 |
% 15.43/4.17 | Equations (1168) can reduce 1188 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (1188) ~ (all_0_0_0 = e3)
% 15.43/4.17 | (3250) all_0_2_2 = e3 | all_0_3_3 = e3
% 15.43/4.17 |
% 15.43/4.17 +-Applying beta-rule and splitting (3250), into two cases.
% 15.43/4.17 |-Branch one:
% 15.43/4.17 | (755) all_0_2_2 = e3
% 15.43/4.17 |
% 15.43/4.17 | Combining equations (755,767) yields a new equation:
% 15.43/4.17 | (1006) e3 = e0
% 15.43/4.17 |
% 15.43/4.17 | Simplifying 1006 yields:
% 15.43/4.17 | (761) e3 = e0
% 15.43/4.17 |
% 15.43/4.17 | Equations (761) can reduce 64 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (925) ~ (all_0_2_2 = e3)
% 15.43/4.17 | (2586) all_0_3_3 = e3
% 15.43/4.17 |
% 15.43/4.17 +-Applying beta-rule and splitting (2462), into two cases.
% 15.43/4.17 |-Branch one:
% 15.43/4.17 | (213) all_0_1_1 = e1
% 15.43/4.17 |
% 15.43/4.17 | Combining equations (213,330) yields a new equation:
% 15.43/4.17 | (332) e4 = e1
% 15.43/4.17 |
% 15.43/4.17 | Equations (332) can reduce 210 to:
% 15.43/4.17 | (247) $false
% 15.43/4.17 |
% 15.43/4.17 |-The branch is then unsatisfiable
% 15.43/4.17 |-Branch two:
% 15.43/4.17 | (396) ~ (all_0_1_1 = e1)
% 15.43/4.17 | (2467) all_0_2_2 = e1 | all_0_3_3 = e1
% 15.43/4.17 |
% 15.43/4.17 +-Applying beta-rule and splitting (2467), into two cases.
% 15.43/4.17 |-Branch one:
% 15.43/4.17 | (1371) all_0_2_2 = e1
% 15.43/4.17 |
% 15.43/4.17 | Combining equations (1371,767) yields a new equation:
% 15.43/4.17 | (245) e1 = e0
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 245 yields:
% 15.69/4.17 | (246) e1 = e0
% 15.69/4.17 |
% 15.69/4.17 | Equations (246) can reduce 128 to:
% 15.69/4.17 | (247) $false
% 15.69/4.17 |
% 15.69/4.17 |-The branch is then unsatisfiable
% 15.69/4.17 |-Branch two:
% 15.69/4.17 | (216) ~ (all_0_2_2 = e1)
% 15.69/4.17 | (258) all_0_3_3 = e1
% 15.69/4.17 |
% 15.69/4.17 | Combining equations (2586,258) yields a new equation:
% 15.69/4.17 | (773) e3 = e1
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 773 yields:
% 15.69/4.17 | (299) e3 = e1
% 15.69/4.17 |
% 15.69/4.17 | Equations (299) can reduce 132 to:
% 15.69/4.17 | (247) $false
% 15.69/4.17 |
% 15.69/4.17 |-The branch is then unsatisfiable
% 15.69/4.17 |-Branch two:
% 15.69/4.17 | (770) ~ (all_0_2_2 = e0)
% 15.69/4.17 | (919) all_0_3_3 = e0
% 15.69/4.17 |
% 15.69/4.17 | Equations (919) can reduce 250 to:
% 15.69/4.17 | (247) $false
% 15.69/4.17 |
% 15.69/4.17 |-The branch is then unsatisfiable
% 15.69/4.17 |-Branch two:
% 15.69/4.17 | (313) ~ (all_0_14_14 = e3)
% 15.69/4.17 | (293) all_0_14_14 = e2
% 15.69/4.17 |
% 15.69/4.17 | Equations (293) can reduce 326 to:
% 15.69/4.17 | (247) $false
% 15.69/4.17 |
% 15.69/4.17 |-The branch is then unsatisfiable
% 15.69/4.17 |-Branch two:
% 15.69/4.17 | (1026) ~ (all_0_5_5 = e1)
% 15.69/4.17 | (1017) all_0_20_20 = e1
% 15.69/4.17 |
% 15.69/4.17 | Equations (1017) can reduce 72 to:
% 15.69/4.17 | (218) ~ (all_0_3_3 = e1)
% 15.69/4.17 |
% 15.69/4.17 | Equations (1017) can reduce 58 to:
% 15.69/4.17 | (1012) ~ (all_0_12_12 = e1)
% 15.69/4.17 |
% 15.69/4.17 | Equations (1017) can reduce 35 to:
% 15.69/4.17 | (229) ~ (all_0_15_15 = e1)
% 15.69/4.17 |
% 15.69/4.17 | Equations (1017) can reduce 9 to:
% 15.69/4.17 | (231) ~ (all_0_16_16 = e1)
% 15.69/4.17 |
% 15.69/4.17 | Equations (1017) can reduce 77 to:
% 15.69/4.17 | (243) ~ (all_0_17_17 = e1)
% 15.69/4.17 |
% 15.69/4.17 | Equations (1017) can reduce 92 to:
% 15.69/4.17 | (222) ~ (all_0_18_18 = e1)
% 15.69/4.17 |
% 15.69/4.17 +-Applying beta-rule and splitting (21), into two cases.
% 15.69/4.17 |-Branch one:
% 15.69/4.17 | (244) all_0_5_5 = e0
% 15.69/4.17 |
% 15.69/4.17 | Equations (244) can reduce 51 to:
% 15.69/4.17 | (913) ~ (all_0_0_0 = e0)
% 15.69/4.17 |
% 15.69/4.17 | Equations (244) can reduce 65 to:
% 15.69/4.17 | (558) ~ (all_0_4_4 = e0)
% 15.69/4.17 |
% 15.69/4.17 | Equations (244) can reduce 109 to:
% 15.69/4.17 | (709) ~ (all_0_7_7 = e0)
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 709 yields:
% 15.69/4.17 | (710) ~ (all_0_7_7 = e0)
% 15.69/4.17 |
% 15.69/4.17 | Equations (244) can reduce 165 to:
% 15.69/4.17 | (579) ~ (all_0_10_10 = e0)
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 579 yields:
% 15.69/4.17 | (390) ~ (all_0_10_10 = e0)
% 15.69/4.17 |
% 15.69/4.17 | Equations (244) can reduce 158 to:
% 15.69/4.17 | (3292) ~ (all_0_14_14 = e0)
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 3292 yields:
% 15.69/4.17 | (70) ~ (all_0_14_14 = e0)
% 15.69/4.17 |
% 15.69/4.17 | Equations (244) can reduce 144 to:
% 15.69/4.17 | (1038) ~ (all_0_17_17 = e0)
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 1038 yields:
% 15.69/4.17 | (252) ~ (all_0_17_17 = e0)
% 15.69/4.17 |
% 15.69/4.17 +-Applying beta-rule and splitting (106), into two cases.
% 15.69/4.17 |-Branch one:
% 15.69/4.17 | (213) all_0_1_1 = e1
% 15.69/4.17 |
% 15.69/4.17 | Combining equations (213,330) yields a new equation:
% 15.69/4.17 | (332) e4 = e1
% 15.69/4.17 |
% 15.69/4.17 | Equations (332) can reduce 210 to:
% 15.69/4.17 | (247) $false
% 15.69/4.17 |
% 15.69/4.17 |-The branch is then unsatisfiable
% 15.69/4.17 |-Branch two:
% 15.69/4.17 | (396) ~ (all_0_1_1 = e1)
% 15.69/4.17 | (2105) all_0_6_6 = e1 | all_0_18_18 = e1
% 15.69/4.17 |
% 15.69/4.17 +-Applying beta-rule and splitting (2105), into two cases.
% 15.69/4.17 |-Branch one:
% 15.69/4.17 | (370) all_0_6_6 = e1
% 15.69/4.17 |
% 15.69/4.17 | Equations (370) can reduce 10 to:
% 15.69/4.17 | (225) ~ (all_0_4_4 = e1)
% 15.69/4.17 |
% 15.69/4.17 | Equations (370) can reduce 164 to:
% 15.69/4.17 | (2065) ~ (all_0_7_7 = e1)
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 2065 yields:
% 15.69/4.17 | (276) ~ (all_0_7_7 = e1)
% 15.69/4.17 |
% 15.69/4.17 | Equations (370) can reduce 131 to:
% 15.69/4.17 | (238) ~ (all_0_8_8 = e1)
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 238 yields:
% 15.69/4.17 | (239) ~ (all_0_8_8 = e1)
% 15.69/4.17 |
% 15.69/4.17 | From (370) and (100) follows:
% 15.69/4.17 | (3307) op(e3, e2) = e1
% 15.69/4.17 |
% 15.69/4.17 +-Applying beta-rule and splitting (60), into two cases.
% 15.69/4.17 |-Branch one:
% 15.69/4.17 | (377) all_0_6_6 = e2
% 15.69/4.17 |
% 15.69/4.17 | Combining equations (370,377) yields a new equation:
% 15.69/4.17 | (420) e2 = e1
% 15.69/4.17 |
% 15.69/4.17 | Equations (420) can reduce 138 to:
% 15.69/4.17 | (247) $false
% 15.69/4.17 |
% 15.69/4.17 |-The branch is then unsatisfiable
% 15.69/4.17 |-Branch two:
% 15.69/4.17 | (369) ~ (all_0_6_6 = e2)
% 15.69/4.17 | (368) all_0_18_18 = e2
% 15.69/4.17 |
% 15.69/4.17 | Equations (368) can reduce 5 to:
% 15.69/4.17 | (33) ~ (all_0_16_16 = e2)
% 15.69/4.17 |
% 15.69/4.17 | Equations (368) can reduce 207 to:
% 15.69/4.17 | (3314) ~ (all_0_19_19 = e2)
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 3314 yields:
% 15.69/4.17 | (2506) ~ (all_0_19_19 = e2)
% 15.69/4.17 |
% 15.69/4.17 | From (368) and (63) follows:
% 15.69/4.17 | (3316) op(e0, e2) = e2
% 15.69/4.17 |
% 15.69/4.17 +-Applying beta-rule and splitting (88), into two cases.
% 15.69/4.17 |-Branch one:
% 15.69/4.17 | (289) all_0_9_9 = e1
% 15.69/4.17 |
% 15.69/4.17 | Equations (289) can reduce 285 to:
% 15.69/4.17 | (247) $false
% 15.69/4.17 |
% 15.69/4.17 |-The branch is then unsatisfiable
% 15.69/4.17 |-Branch two:
% 15.69/4.17 | (285) ~ (all_0_9_9 = e1)
% 15.69/4.17 | (292) all_0_9_9 = e4 | all_0_9_9 = e0
% 15.69/4.17 |
% 15.69/4.17 +-Applying beta-rule and splitting (116), into two cases.
% 15.69/4.17 |-Branch one:
% 15.69/4.17 | (293) all_0_14_14 = e2
% 15.69/4.17 |
% 15.69/4.17 | Equations (293) can reduce 188 to:
% 15.69/4.17 | (55) ~ (all_0_0_0 = e2)
% 15.69/4.17 |
% 15.69/4.17 | Equations (293) can reduce 93 to:
% 15.69/4.17 | (294) ~ (all_0_10_10 = e2)
% 15.69/4.17 |
% 15.69/4.17 | Equations (293) can reduce 184 to:
% 15.69/4.17 | (295) ~ (all_0_15_15 = e2)
% 15.69/4.17 |
% 15.69/4.17 | Simplifying 295 yields:
% 15.69/4.17 | (296) ~ (all_0_15_15 = e2)
% 15.69/4.18 |
% 15.69/4.18 | From (293) and (105) follows:
% 15.69/4.18 | (2128) op(e1, e3) = e2
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (157), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (1014) all_0_15_15 = e1
% 15.69/4.18 |
% 15.69/4.18 | Equations (1014) can reduce 229 to:
% 15.69/4.18 | (247) $false
% 15.69/4.18 |
% 15.69/4.18 |-The branch is then unsatisfiable
% 15.69/4.18 |-Branch two:
% 15.69/4.18 | (229) ~ (all_0_15_15 = e1)
% 15.69/4.18 | (1090) all_0_15_15 = e3 | all_0_15_15 = e2
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (1090), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (314) all_0_15_15 = e3
% 15.69/4.18 |
% 15.69/4.18 | Equations (314) can reduce 50 to:
% 15.69/4.18 | (789) ~ (all_0_3_3 = e3)
% 15.69/4.18 |
% 15.69/4.18 | Equations (314) can reduce 43 to:
% 15.69/4.18 | (834) ~ (all_0_8_8 = e3)
% 15.69/4.18 |
% 15.69/4.18 | Equations (314) can reduce 111 to:
% 15.69/4.18 | (44) ~ (all_0_12_12 = e3)
% 15.69/4.18 |
% 15.69/4.18 | Equations (314) can reduce 296 to:
% 15.69/4.18 | (191) ~ (e3 = e2)
% 15.69/4.18 |
% 15.69/4.18 | Equations (314) can reduce 229 to:
% 15.69/4.18 | (132) ~ (e3 = e1)
% 15.69/4.18 |
% 15.69/4.18 | From (314) and (112) follows:
% 15.69/4.18 | (2147) op(e1, e0) = e3
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (83), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (258) all_0_3_3 = e1
% 15.69/4.18 |
% 15.69/4.18 | Equations (258) can reduce 218 to:
% 15.69/4.18 | (247) $false
% 15.69/4.18 |
% 15.69/4.18 |-The branch is then unsatisfiable
% 15.69/4.18 |-Branch two:
% 15.69/4.18 | (218) ~ (all_0_3_3 = e1)
% 15.69/4.18 | (2440) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (2440), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (919) all_0_3_3 = e0
% 15.69/4.18 |
% 15.69/4.18 | Equations (919) can reduce 61 to:
% 15.69/4.18 | (913) ~ (all_0_0_0 = e0)
% 15.69/4.18 |
% 15.69/4.18 | Equations (919) can reduce 115 to:
% 15.69/4.18 | (770) ~ (all_0_2_2 = e0)
% 15.69/4.18 |
% 15.69/4.18 | Equations (919) can reduce 20 to:
% 15.69/4.18 | (711) ~ (all_0_8_8 = e0)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 711 yields:
% 15.69/4.18 | (712) ~ (all_0_8_8 = e0)
% 15.69/4.18 |
% 15.69/4.18 | Equations (919) can reduce 84 to:
% 15.69/4.18 | (1417) ~ (all_0_12_12 = e0)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 1417 yields:
% 15.69/4.18 | (1418) ~ (all_0_12_12 = e0)
% 15.69/4.18 |
% 15.69/4.18 | Equations (919) can reduce 789 to:
% 15.69/4.18 | (713) ~ (e3 = e0)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 713 yields:
% 15.69/4.18 | (64) ~ (e3 = e0)
% 15.69/4.18 |
% 15.69/4.18 | From (919) and (71) follows:
% 15.69/4.18 | (2259) op(e4, e0) = e0
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (49), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (1371) all_0_2_2 = e1
% 15.69/4.18 |
% 15.69/4.18 | Equations (1371) can reduce 25 to:
% 15.69/4.18 | (214) ~ (all_0_0_0 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Equations (1371) can reduce 97 to:
% 15.69/4.18 | (2113) ~ (all_0_19_19 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 2113 yields:
% 15.69/4.18 | (1021) ~ (all_0_19_19 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Equations (1371) can reduce 75 to:
% 15.69/4.18 | (2057) ~ (e2 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 2057 yields:
% 15.69/4.18 | (138) ~ (e2 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Equations (1371) can reduce 770 to:
% 15.69/4.18 | (128) ~ (e1 = e0)
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (182), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (289) all_0_9_9 = e1
% 15.69/4.18 |
% 15.69/4.18 | Equations (289) can reduce 285 to:
% 15.69/4.18 | (247) $false
% 15.69/4.18 |
% 15.69/4.18 |-The branch is then unsatisfiable
% 15.69/4.18 |-Branch two:
% 15.69/4.18 | (285) ~ (all_0_9_9 = e1)
% 15.69/4.18 | (1977) all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (197), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (1168) all_0_0_0 = e3
% 15.69/4.18 |
% 15.69/4.18 | Equations (1168) can reduce 127 to:
% 15.69/4.18 | (3364) ~ (all_0_10_10 = e3)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 3364 yields:
% 15.69/4.18 | (196) ~ (all_0_10_10 = e3)
% 15.69/4.18 |
% 15.69/4.18 | Equations (1168) can reduce 55 to:
% 15.69/4.18 | (191) ~ (e3 = e2)
% 15.69/4.18 |
% 15.69/4.18 | Equations (1168) can reduce 214 to:
% 15.69/4.18 | (132) ~ (e3 = e1)
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (177), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (262) all_0_17_17 = e1
% 15.69/4.18 |
% 15.69/4.18 | Equations (262) can reduce 243 to:
% 15.69/4.18 | (247) $false
% 15.69/4.18 |
% 15.69/4.18 |-The branch is then unsatisfiable
% 15.69/4.18 |-Branch two:
% 15.69/4.18 | (243) ~ (all_0_17_17 = e1)
% 15.69/4.18 | (679) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e0
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (1977), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (581) all_0_10_10 = e1
% 15.69/4.18 |
% 15.69/4.18 | Equations (581) can reduce 176 to:
% 15.69/4.18 | (285) ~ (all_0_9_9 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Equations (581) can reduce 202 to:
% 15.69/4.18 | (1074) ~ (all_0_11_11 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 1074 yields:
% 15.69/4.18 | (1075) ~ (all_0_11_11 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Equations (581) can reduce 45 to:
% 15.69/4.18 | (3051) ~ (all_0_12_12 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 3051 yields:
% 15.69/4.18 | (1012) ~ (all_0_12_12 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Equations (581) can reduce 122 to:
% 15.69/4.18 | (242) ~ (all_0_17_17 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 242 yields:
% 15.69/4.18 | (243) ~ (all_0_17_17 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Equations (581) can reduce 196 to:
% 15.69/4.18 | (287) ~ (e3 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 287 yields:
% 15.69/4.18 | (132) ~ (e3 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Equations (581) can reduce 294 to:
% 15.69/4.18 | (2057) ~ (e2 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Simplifying 2057 yields:
% 15.69/4.18 | (138) ~ (e2 = e1)
% 15.69/4.18 |
% 15.69/4.18 | From (581) and (16) follows:
% 15.69/4.18 | (1082) op(e2, e3) = e1
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (3), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (316), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (317), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 15.69/4.18 |
% 15.69/4.18 +-Applying beta-rule and splitting (318), into two cases.
% 15.69/4.18 |-Branch one:
% 15.69/4.18 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 15.69/4.18 |
% 15.69/4.18 | Applying alpha-rule on (319) yields:
% 15.69/4.18 | (320) ~ (all_0_8_8 = e2)
% 15.69/4.18 | (321) ~ (all_0_5_5 = e2)
% 15.69/4.18 | (322) ~ (all_0_11_11 = e2)
% 15.69/4.18 | (323) ~ (all_0_12_12 = e2)
% 15.69/4.18 | (324) ~ (all_0_20_20 = e2)
% 15.69/4.18 | (325) ~ (unit = e2)
% 15.69/4.18 | (326) ~ (all_0_14_14 = e2)
% 15.69/4.18 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 15.69/4.18 | (328) ~ (all_0_17_17 = e2)
% 15.69/4.18 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 15.69/4.18 | (330) all_0_1_1 = e4
% 15.69/4.18 |
% 15.69/4.18 | Equations (293) can reduce 326 to:
% 15.69/4.18 | (247) $false
% 15.69/4.18 |
% 15.69/4.18 |-The branch is then unsatisfiable
% 15.69/4.18 |-Branch two:
% 15.69/4.18 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 15.69/4.18 |
% 15.69/4.18 | Applying alpha-rule on (334) yields:
% 15.69/4.18 | (301) ~ (all_0_13_13 = e3)
% 15.69/4.18 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 15.69/4.18 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 15.69/4.18 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 15.69/4.18 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 15.69/4.18 | (340) ~ (all_0_15_15 = e3)
% 15.69/4.18 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 15.69/4.18 | (303) all_0_10_10 = e2
% 15.69/4.18 | (343) ~ (unit = e3)
% 15.69/4.18 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 15.69/4.18 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 15.69/4.18 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 15.69/4.18 |
% 15.69/4.18 | Combining equations (581,303) yields a new equation:
% 15.69/4.18 | (420) e2 = e1
% 15.69/4.18 |
% 15.69/4.18 | Equations (420) can reduce 138 to:
% 15.69/4.18 | (247) $false
% 15.69/4.18 |
% 15.69/4.18 |-The branch is then unsatisfiable
% 15.69/4.18 |-Branch two:
% 15.69/4.18 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 15.69/4.18 |
% 15.69/4.18 | Applying alpha-rule on (348) yields:
% 15.69/4.18 | (349) ~ (unit = e4)
% 15.69/4.18 | (350) ~ (all_0_6_6 = e4)
% 15.69/4.19 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 15.69/4.19 | (352) ~ (all_0_18_18 = e4)
% 15.69/4.19 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 15.69/4.19 | (354) ~ (all_0_0_0 = e4)
% 15.69/4.19 | (355) ~ (all_0_10_10 = e4)
% 15.69/4.19 | (356) ~ (all_0_3_3 = e4)
% 15.69/4.19 | (224) all_0_13_13 = e1
% 15.69/4.19 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 15.69/4.19 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 15.69/4.19 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 15.69/4.19 |
% 15.69/4.19 | Equations (1168) can reduce 354 to:
% 15.69/4.19 | (790) ~ (e4 = e3)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 790 yields:
% 15.69/4.19 | (24) ~ (e4 = e3)
% 15.69/4.19 |
% 15.69/4.19 | Equations (919) can reduce 356 to:
% 15.69/4.19 | (796) ~ (e4 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 796 yields:
% 15.69/4.19 | (7) ~ (e4 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Equations (581) can reduce 355 to:
% 15.69/4.19 | (279) ~ (e4 = e1)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 279 yields:
% 15.69/4.19 | (210) ~ (e4 = e1)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (359), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (701) ~ (all_0_8_8 = e4)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (679), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (680) all_0_17_17 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (680) can reduce 252 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (252) ~ (all_0_17_17 = e0)
% 15.69/4.19 | (683) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (143), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (575) all_0_4_4 = e4
% 15.69/4.19 |
% 15.69/4.19 | Equations (575) can reduce 129 to:
% 15.69/4.19 | (700) ~ (all_0_8_8 = e4)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 700 yields:
% 15.69/4.19 | (701) ~ (all_0_8_8 = e4)
% 15.69/4.19 |
% 15.69/4.19 | Equations (575) can reduce 6 to:
% 15.69/4.19 | (576) ~ (all_0_9_9 = e4)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 576 yields:
% 15.69/4.19 | (577) ~ (all_0_9_9 = e4)
% 15.69/4.19 |
% 15.69/4.19 | Equations (575) can reduce 76 to:
% 15.69/4.19 | (3445) ~ (all_0_16_16 = e4)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 3445 yields:
% 15.69/4.19 | (1300) ~ (all_0_16_16 = e4)
% 15.69/4.19 |
% 15.69/4.19 | Equations (575) can reduce 225 to:
% 15.69/4.19 | (210) ~ (e4 = e1)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (292), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (543) all_0_9_9 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (543) can reduce 180 to:
% 15.69/4.19 | (1727) ~ (all_0_11_11 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 1727 yields:
% 15.69/4.19 | (554) ~ (all_0_11_11 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Equations (543) can reduce 183 to:
% 15.69/4.19 | (1417) ~ (all_0_12_12 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 1417 yields:
% 15.69/4.19 | (1418) ~ (all_0_12_12 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Equations (543) can reduce 107 to:
% 15.69/4.19 | (2620) ~ (all_0_16_16 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 2620 yields:
% 15.69/4.19 | (1405) ~ (all_0_16_16 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Equations (543) can reduce 285 to:
% 15.69/4.19 | (541) ~ (e1 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 541 yields:
% 15.69/4.19 | (128) ~ (e1 = e0)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (171), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (1503) all_0_16_16 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (1503) can reduce 1405 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (1405) ~ (all_0_16_16 = e0)
% 15.69/4.19 | (3460) all_0_17_17 = e0 | all_0_19_19 = e0 | all_0_20_20 = e0
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (87), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (572) all_0_4_4 = e3
% 15.69/4.19 |
% 15.69/4.19 | Combining equations (572,575) yields a new equation:
% 15.69/4.19 | (873) e4 = e3
% 15.69/4.19 |
% 15.69/4.19 | Equations (873) can reduce 24 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (436) ~ (all_0_4_4 = e3)
% 15.69/4.19 | (2404) all_0_13_13 = e3 | all_0_16_16 = e3
% 15.69/4.19 |
% 15.69/4.19 | Equations (575) can reduce 436 to:
% 15.69/4.19 | (24) ~ (e4 = e3)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (124), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (1794) all_0_11_11 = e1
% 15.69/4.19 |
% 15.69/4.19 | Equations (1794) can reduce 1075 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (1075) ~ (all_0_11_11 = e1)
% 15.69/4.19 | (1933) all_0_11_11 = e2 | all_0_11_11 = e0
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (185), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (572) all_0_4_4 = e3
% 15.69/4.19 |
% 15.69/4.19 | Combining equations (572,575) yields a new equation:
% 15.69/4.19 | (873) e4 = e3
% 15.69/4.19 |
% 15.69/4.19 | Equations (873) can reduce 24 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (436) ~ (all_0_4_4 = e3)
% 15.69/4.19 | (764) all_0_5_5 = e3 | all_0_7_7 = e3 | all_0_8_8 = e3
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (174), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (1500) all_0_16_16 = e4
% 15.69/4.19 |
% 15.69/4.19 | Equations (1500) can reduce 1300 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (1300) ~ (all_0_16_16 = e4)
% 15.69/4.19 | (2730) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_20_20 = e4
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (2730), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (688) all_0_17_17 = e4
% 15.69/4.19 |
% 15.69/4.19 | Equations (688) can reduce 243 to:
% 15.69/4.19 | (210) ~ (e4 = e1)
% 15.69/4.19 |
% 15.69/4.19 | Equations (688) can reduce 252 to:
% 15.69/4.19 | (7) ~ (e4 = e0)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (211), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (800) all_0_3_3 = e4
% 15.69/4.19 |
% 15.69/4.19 | Combining equations (800,919) yields a new equation:
% 15.69/4.19 | (1496) e4 = e0
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 1496 yields:
% 15.69/4.19 | (911) e4 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (911) can reduce 7 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (356) ~ (all_0_3_3 = e4)
% 15.69/4.19 | (899) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (899), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (872) all_0_8_8 = e4
% 15.69/4.19 |
% 15.69/4.19 | Equations (872) can reduce 701 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (701) ~ (all_0_8_8 = e4)
% 15.69/4.19 | (905) all_0_12_12 = e4 | all_0_20_20 = e4
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (905), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (594) all_0_12_12 = e4
% 15.69/4.19 |
% 15.69/4.19 | Equations (594) can reduce 117 to:
% 15.69/4.19 | (701) ~ (all_0_8_8 = e4)
% 15.69/4.19 |
% 15.69/4.19 | Equations (594) can reduce 1418 to:
% 15.69/4.19 | (7) ~ (e4 = e0)
% 15.69/4.19 |
% 15.69/4.19 | From (594) and (19) follows:
% 15.69/4.19 | (1744) op(e2, e0) = e4
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (2404), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (298) all_0_13_13 = e3
% 15.69/4.19 |
% 15.69/4.19 | Combining equations (298,224) yields a new equation:
% 15.69/4.19 | (773) e3 = e1
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 773 yields:
% 15.69/4.19 | (299) e3 = e1
% 15.69/4.19 |
% 15.69/4.19 | Equations (299) can reduce 132 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (301) ~ (all_0_13_13 = e3)
% 15.69/4.19 | (435) all_0_16_16 = e3
% 15.69/4.19 |
% 15.69/4.19 | Equations (435) can reduce 1405 to:
% 15.69/4.19 | (64) ~ (e3 = e0)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (1933), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (551) all_0_11_11 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (551) can reduce 554 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (554) ~ (all_0_11_11 = e0)
% 15.69/4.19 | (307) all_0_11_11 = e2
% 15.69/4.19 |
% 15.69/4.19 | Equations (307) can reduce 206 to:
% 15.69/4.19 | (3314) ~ (all_0_19_19 = e2)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 3314 yields:
% 15.69/4.19 | (2506) ~ (all_0_19_19 = e2)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (102), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (274) all_0_19_19 = e1
% 15.69/4.19 |
% 15.69/4.19 | Equations (274) can reduce 1021 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (1021) ~ (all_0_19_19 = e1)
% 15.69/4.19 | (2666) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e0
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (162), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (767) all_0_2_2 = e0
% 15.69/4.19 |
% 15.69/4.19 | Combining equations (1371,767) yields a new equation:
% 15.69/4.19 | (245) e1 = e0
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 245 yields:
% 15.69/4.19 | (246) e1 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (246) can reduce 128 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (770) ~ (all_0_2_2 = e0)
% 15.69/4.19 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (1371) can reduce 770 to:
% 15.69/4.19 | (128) ~ (e1 = e0)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (74), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (954) all_0_8_8 = e2
% 15.69/4.19 |
% 15.69/4.19 | From (954) and (181) follows:
% 15.69/4.19 | (3522) op(e3, e0) = e2
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (3460), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (680) all_0_17_17 = e0
% 15.69/4.19 |
% 15.69/4.19 | Combining equations (680,688) yields a new equation:
% 15.69/4.19 | (911) e4 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (911) can reduce 7 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (252) ~ (all_0_17_17 = e0)
% 15.69/4.19 | (3527) all_0_19_19 = e0 | all_0_20_20 = e0
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (3527), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (922) all_0_19_19 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (922) can reduce 2506 to:
% 15.69/4.19 | (539) ~ (e2 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 539 yields:
% 15.69/4.19 | (47) ~ (e2 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Equations (922) can reduce 1021 to:
% 15.69/4.19 | (541) ~ (e1 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 541 yields:
% 15.69/4.19 | (128) ~ (e1 = e0)
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (59), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (1434) unit = e1
% 15.69/4.19 |
% 15.69/4.19 | From (1434) and (27) follows:
% 15.69/4.19 | (2231) op(e1, e3) = e3
% 15.69/4.19 |
% 15.69/4.19 | From (1434) and (46) follows:
% 15.69/4.19 | (1435) op(e1, e0) = e0
% 15.69/4.19 |
% 15.69/4.19 | Instantiating formula (120) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields:
% 15.69/4.19 | (311) e3 = e2
% 15.69/4.19 |
% 15.69/4.19 | Instantiating formula (120) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields:
% 15.69/4.19 | (761) e3 = e0
% 15.69/4.19 |
% 15.69/4.19 | Combining equations (311,761) yields a new equation:
% 15.69/4.19 | (779) e2 = e0
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 779 yields:
% 15.69/4.19 | (552) e2 = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (552) can reduce 47 to:
% 15.69/4.19 | (247) $false
% 15.69/4.19 |
% 15.69/4.19 |-The branch is then unsatisfiable
% 15.69/4.19 |-Branch two:
% 15.69/4.19 | (1438) ~ (unit = e1)
% 15.69/4.19 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 15.69/4.19 |
% 15.69/4.19 +-Applying beta-rule and splitting (1439), into two cases.
% 15.69/4.19 |-Branch one:
% 15.69/4.19 | (1440) unit = e0
% 15.69/4.19 |
% 15.69/4.19 | Equations (1440) can reduce 1438 to:
% 15.69/4.19 | (541) ~ (e1 = e0)
% 15.69/4.19 |
% 15.69/4.19 | Simplifying 541 yields:
% 15.69/4.19 | (128) ~ (e1 = e0)
% 15.69/4.20 |
% 15.69/4.20 | From (1440) and (15) follows:
% 15.69/4.20 | (3148) op(e4, e0) = e4
% 15.69/4.20 |
% 15.69/4.20 | From (1440) and (159) follows:
% 15.69/4.20 | (3137) op(e3, e0) = e3
% 15.69/4.20 |
% 15.69/4.20 | From (1440) and (151) follows:
% 15.69/4.20 | (3149) op(e2, e0) = e2
% 15.69/4.20 |
% 15.69/4.20 | From (1440) and (186) follows:
% 15.69/4.20 | (3549) op(e1, e0) = e1
% 15.69/4.20 |
% 15.69/4.20 | Instantiating formula (120) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 15.69/4.20 | (911) e4 = e0
% 15.69/4.20 |
% 15.69/4.20 | Instantiating formula (120) with e3, e0, e3, e2 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e2, yields:
% 15.69/4.20 | (311) e3 = e2
% 15.69/4.20 |
% 15.69/4.20 | Instantiating formula (120) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields:
% 15.69/4.20 | (471) e4 = e2
% 15.69/4.20 |
% 15.69/4.20 | Instantiating formula (120) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields:
% 15.69/4.20 | (299) e3 = e1
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (471,911) yields a new equation:
% 15.69/4.20 | (779) e2 = e0
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 779 yields:
% 15.69/4.20 | (552) e2 = e0
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (311,299) yields a new equation:
% 15.69/4.20 | (629) e2 = e1
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 629 yields:
% 15.69/4.20 | (420) e2 = e1
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (420,552) yields a new equation:
% 15.69/4.20 | (245) e1 = e0
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 245 yields:
% 15.69/4.20 | (246) e1 = e0
% 15.69/4.20 |
% 15.69/4.20 | Equations (246) can reduce 128 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (387) ~ (unit = e0)
% 15.69/4.20 | (1443) unit = e4 | unit = e3 | unit = e2
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (1443), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (1444) unit = e3
% 15.69/4.20 |
% 15.69/4.20 | From (1444) and (46) follows:
% 15.69/4.20 | (3157) op(e3, e0) = e0
% 15.69/4.20 |
% 15.69/4.20 | From (1444) and (186) follows:
% 15.69/4.20 | (2251) op(e1, e3) = e1
% 15.69/4.20 |
% 15.69/4.20 | Instantiating formula (120) with e3, e0, e0, e2 and discharging atoms op(e3, e0) = e2, op(e3, e0) = e0, yields:
% 15.69/4.20 | (552) e2 = e0
% 15.69/4.20 |
% 15.69/4.20 | Instantiating formula (120) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields:
% 15.69/4.20 | (420) e2 = e1
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (420,552) yields a new equation:
% 15.69/4.20 | (245) e1 = e0
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 245 yields:
% 15.69/4.20 | (246) e1 = e0
% 15.69/4.20 |
% 15.69/4.20 | Equations (246) can reduce 128 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (343) ~ (unit = e3)
% 15.69/4.20 | (1453) unit = e4 | unit = e2
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (1453), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (1454) unit = e4
% 15.69/4.20 |
% 15.69/4.20 | Equations (1454) can reduce 349 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (349) ~ (unit = e4)
% 15.69/4.20 | (1470) unit = e2
% 15.69/4.20 |
% 15.69/4.20 | From (1470) and (27) follows:
% 15.69/4.20 | (3577) op(e2, e3) = e3
% 15.69/4.20 |
% 15.69/4.20 | From (1470) and (151) follows:
% 15.69/4.20 | (1911) op(e2, e2) = e2
% 15.69/4.20 |
% 15.69/4.20 | From (1470) and (108) follows:
% 15.69/4.20 | (1472) op(e0, e2) = e0
% 15.69/4.20 |
% 15.69/4.20 | Instantiating formula (120) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields:
% 15.69/4.20 | (299) e3 = e1
% 15.69/4.20 |
% 15.69/4.20 | Instantiating formula (120) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 15.69/4.20 | (311) e3 = e2
% 15.69/4.20 |
% 15.69/4.20 | Instantiating formula (120) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 15.69/4.20 | (552) e2 = e0
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (311,299) yields a new equation:
% 15.69/4.20 | (629) e2 = e1
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 629 yields:
% 15.69/4.20 | (420) e2 = e1
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (420,552) yields a new equation:
% 15.69/4.20 | (245) e1 = e0
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 245 yields:
% 15.69/4.20 | (246) e1 = e0
% 15.69/4.20 |
% 15.69/4.20 | Equations (246) can reduce 128 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (253) ~ (all_0_19_19 = e0)
% 15.69/4.20 | (249) all_0_20_20 = e0
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (1017,249) yields a new equation:
% 15.69/4.20 | (245) e1 = e0
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 245 yields:
% 15.69/4.20 | (246) e1 = e0
% 15.69/4.20 |
% 15.69/4.20 | Equations (246) can reduce 128 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (320) ~ (all_0_8_8 = e2)
% 15.69/4.20 | (2132) all_0_12_12 = e2 | all_0_15_15 = e2 | all_0_20_20 = e2
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (764), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (772) all_0_5_5 = e3
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (244,772) yields a new equation:
% 15.69/4.20 | (761) e3 = e0
% 15.69/4.20 |
% 15.69/4.20 | Equations (761) can reduce 64 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (776) ~ (all_0_5_5 = e3)
% 15.69/4.20 | (777) all_0_7_7 = e3 | all_0_8_8 = e3
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (169), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (266) all_0_8_8 = e1
% 15.69/4.20 |
% 15.69/4.20 | Equations (266) can reduce 239 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (239) ~ (all_0_8_8 = e1)
% 15.69/4.20 | (748) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (777), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (784) all_0_7_7 = e3
% 15.69/4.20 |
% 15.69/4.20 | Equations (784) can reduce 168 to:
% 15.69/4.20 | (2587) ~ (all_0_8_8 = e3)
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 2587 yields:
% 15.69/4.20 | (834) ~ (all_0_8_8 = e3)
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (748), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (749) all_0_8_8 = e0
% 15.69/4.20 |
% 15.69/4.20 | Equations (749) can reduce 712 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (712) ~ (all_0_8_8 = e0)
% 15.69/4.20 | (752) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (752), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (788) all_0_8_8 = e3
% 15.69/4.20 |
% 15.69/4.20 | Equations (788) can reduce 834 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (834) ~ (all_0_8_8 = e3)
% 15.69/4.20 | (950) all_0_8_8 = e4 | all_0_8_8 = e2
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (950), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (872) all_0_8_8 = e4
% 15.69/4.20 |
% 15.69/4.20 | Equations (872) can reduce 701 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (701) ~ (all_0_8_8 = e4)
% 15.69/4.20 | (954) all_0_8_8 = e2
% 15.69/4.20 |
% 15.69/4.20 | Equations (954) can reduce 320 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (787) ~ (all_0_7_7 = e3)
% 15.69/4.20 | (788) all_0_8_8 = e3
% 15.69/4.20 |
% 15.69/4.20 | Equations (788) can reduce 834 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (909) ~ (all_0_12_12 = e4)
% 15.69/4.20 | (910) all_0_20_20 = e4
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (910,1017) yields a new equation:
% 15.69/4.20 | (331) e4 = e1
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 331 yields:
% 15.69/4.20 | (332) e4 = e1
% 15.69/4.20 |
% 15.69/4.20 | Equations (332) can reduce 210 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (992) ~ (all_0_17_17 = e4)
% 15.69/4.20 | (2751) all_0_18_18 = e4 | all_0_20_20 = e4
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (169), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (266) all_0_8_8 = e1
% 15.69/4.20 |
% 15.69/4.20 | Equations (266) can reduce 239 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (239) ~ (all_0_8_8 = e1)
% 15.69/4.20 | (748) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (748), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (749) all_0_8_8 = e0
% 15.69/4.20 |
% 15.69/4.20 | Equations (749) can reduce 712 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (712) ~ (all_0_8_8 = e0)
% 15.69/4.20 | (752) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (752), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (788) all_0_8_8 = e3
% 15.69/4.20 |
% 15.69/4.20 | Equations (788) can reduce 834 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (834) ~ (all_0_8_8 = e3)
% 15.69/4.20 | (950) all_0_8_8 = e4 | all_0_8_8 = e2
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (950), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (872) all_0_8_8 = e4
% 15.69/4.20 |
% 15.69/4.20 | Equations (872) can reduce 701 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (701) ~ (all_0_8_8 = e4)
% 15.69/4.20 | (954) all_0_8_8 = e2
% 15.69/4.20 |
% 15.69/4.20 | Equations (954) can reduce 701 to:
% 15.69/4.20 | (467) ~ (e4 = e2)
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 467 yields:
% 15.69/4.20 | (194) ~ (e4 = e2)
% 15.69/4.20 |
% 15.69/4.20 +-Applying beta-rule and splitting (2751), into two cases.
% 15.69/4.20 |-Branch one:
% 15.69/4.20 | (365) all_0_18_18 = e4
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (368,365) yields a new equation:
% 15.69/4.20 | (471) e4 = e2
% 15.69/4.20 |
% 15.69/4.20 | Equations (471) can reduce 194 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.20 |-Branch two:
% 15.69/4.20 | (352) ~ (all_0_18_18 = e4)
% 15.69/4.20 | (910) all_0_20_20 = e4
% 15.69/4.20 |
% 15.69/4.20 | Combining equations (910,1017) yields a new equation:
% 15.69/4.20 | (331) e4 = e1
% 15.69/4.20 |
% 15.69/4.20 | Simplifying 331 yields:
% 15.69/4.20 | (332) e4 = e1
% 15.69/4.20 |
% 15.69/4.20 | Equations (332) can reduce 210 to:
% 15.69/4.20 | (247) $false
% 15.69/4.20 |
% 15.69/4.20 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (538) ~ (all_0_9_9 = e0)
% 15.69/4.21 | (602) all_0_9_9 = e4
% 15.69/4.21 |
% 15.69/4.21 | Equations (602) can reduce 577 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (697) ~ (all_0_4_4 = e4)
% 15.69/4.21 | (3660) all_0_5_5 = e4 | all_0_6_6 = e4 | all_0_8_8 = e4
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (169), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (266) all_0_8_8 = e1
% 15.69/4.21 |
% 15.69/4.21 | Equations (266) can reduce 239 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (239) ~ (all_0_8_8 = e1)
% 15.69/4.21 | (748) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (748), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (749) all_0_8_8 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (749) can reduce 712 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (712) ~ (all_0_8_8 = e0)
% 15.69/4.21 | (752) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (752), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (788) all_0_8_8 = e3
% 15.69/4.21 |
% 15.69/4.21 | Equations (788) can reduce 834 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (834) ~ (all_0_8_8 = e3)
% 15.69/4.21 | (950) all_0_8_8 = e4 | all_0_8_8 = e2
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (950), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (872) all_0_8_8 = e4
% 15.69/4.21 |
% 15.69/4.21 | Equations (872) can reduce 701 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (701) ~ (all_0_8_8 = e4)
% 15.69/4.21 | (954) all_0_8_8 = e2
% 15.69/4.21 |
% 15.69/4.21 | Equations (954) can reduce 168 to:
% 15.69/4.21 | (444) ~ (all_0_7_7 = e2)
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (99), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (634) all_0_7_7 = e2
% 15.69/4.21 |
% 15.69/4.21 | Equations (634) can reduce 444 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (444) ~ (all_0_7_7 = e2)
% 15.69/4.21 | (637) all_0_11_11 = e2 | all_0_19_19 = e2
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (166), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (282) all_0_12_12 = e1
% 15.69/4.21 |
% 15.69/4.21 | Equations (282) can reduce 1012 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (1012) ~ (all_0_12_12 = e1)
% 15.69/4.21 | (3058) all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e0
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (637), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (307) all_0_11_11 = e2
% 15.69/4.21 |
% 15.69/4.21 | Equations (307) can reduce 42 to:
% 15.69/4.21 | (3687) ~ (all_0_12_12 = e2)
% 15.69/4.21 |
% 15.69/4.21 | Simplifying 3687 yields:
% 15.69/4.21 | (323) ~ (all_0_12_12 = e2)
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (29), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (927) all_0_0_0 = e4
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (927,1168) yields a new equation:
% 15.69/4.21 | (901) e4 = e3
% 15.69/4.21 |
% 15.69/4.21 | Simplifying 901 yields:
% 15.69/4.21 | (873) e4 = e3
% 15.69/4.21 |
% 15.69/4.21 | Equations (873) can reduce 24 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (354) ~ (all_0_0_0 = e4)
% 15.69/4.21 | (1158) all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (1158), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (1533) all_0_5_5 = e4
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (1533,244) yields a new equation:
% 15.69/4.21 | (1496) e4 = e0
% 15.69/4.21 |
% 15.69/4.21 | Simplifying 1496 yields:
% 15.69/4.21 | (911) e4 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (911) can reduce 7 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (1537) ~ (all_0_5_5 = e4)
% 15.69/4.21 | (1538) all_0_10_10 = e4 | all_0_17_17 = e4
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (203), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (543) all_0_9_9 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (543) can reduce 183 to:
% 15.69/4.21 | (1417) ~ (all_0_12_12 = e0)
% 15.69/4.21 |
% 15.69/4.21 | Simplifying 1417 yields:
% 15.69/4.21 | (1418) ~ (all_0_12_12 = e0)
% 15.69/4.21 |
% 15.69/4.21 | Equations (543) can reduce 107 to:
% 15.69/4.21 | (2620) ~ (all_0_16_16 = e0)
% 15.69/4.21 |
% 15.69/4.21 | Simplifying 2620 yields:
% 15.69/4.21 | (1405) ~ (all_0_16_16 = e0)
% 15.69/4.21 |
% 15.69/4.21 | Equations (543) can reduce 285 to:
% 15.69/4.21 | (541) ~ (e1 = e0)
% 15.69/4.21 |
% 15.69/4.21 | Simplifying 541 yields:
% 15.69/4.21 | (128) ~ (e1 = e0)
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (1538), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (589) all_0_10_10 = e4
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (581,589) yields a new equation:
% 15.69/4.21 | (332) e4 = e1
% 15.69/4.21 |
% 15.69/4.21 | Equations (332) can reduce 210 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (355) ~ (all_0_10_10 = e4)
% 15.69/4.21 | (688) all_0_17_17 = e4
% 15.69/4.21 |
% 15.69/4.21 | Equations (688) can reduce 204 to:
% 15.69/4.21 | (3713) ~ (all_0_19_19 = e4)
% 15.69/4.21 |
% 15.69/4.21 | Simplifying 3713 yields:
% 15.69/4.21 | (137) ~ (all_0_19_19 = e4)
% 15.69/4.21 |
% 15.69/4.21 | Equations (688) can reduce 243 to:
% 15.69/4.21 | (210) ~ (e4 = e1)
% 15.69/4.21 |
% 15.69/4.21 | Equations (688) can reduce 252 to:
% 15.69/4.21 | (7) ~ (e4 = e0)
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (170), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (602) all_0_9_9 = e4
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (543,602) yields a new equation:
% 15.69/4.21 | (911) e4 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (911) can reduce 7 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (577) ~ (all_0_9_9 = e4)
% 15.69/4.21 | (957) all_0_10_10 = e4 | all_0_12_12 = e4
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (171), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (1503) all_0_16_16 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (1503) can reduce 1405 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (1405) ~ (all_0_16_16 = e0)
% 15.69/4.21 | (3460) all_0_17_17 = e0 | all_0_19_19 = e0 | all_0_20_20 = e0
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (957), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (589) all_0_10_10 = e4
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (581,589) yields a new equation:
% 15.69/4.21 | (332) e4 = e1
% 15.69/4.21 |
% 15.69/4.21 | Equations (332) can reduce 210 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (355) ~ (all_0_10_10 = e4)
% 15.69/4.21 | (594) all_0_12_12 = e4
% 15.69/4.21 |
% 15.69/4.21 | Equations (594) can reduce 323 to:
% 15.69/4.21 | (194) ~ (e4 = e2)
% 15.69/4.21 |
% 15.69/4.21 | Equations (594) can reduce 1012 to:
% 15.69/4.21 | (210) ~ (e4 = e1)
% 15.69/4.21 |
% 15.69/4.21 | Equations (594) can reduce 1418 to:
% 15.69/4.21 | (7) ~ (e4 = e0)
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (162), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (767) all_0_2_2 = e0
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (1371,767) yields a new equation:
% 15.69/4.21 | (245) e1 = e0
% 15.69/4.21 |
% 15.69/4.21 | Simplifying 245 yields:
% 15.69/4.21 | (246) e1 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (246) can reduce 128 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (770) ~ (all_0_2_2 = e0)
% 15.69/4.21 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (1371) can reduce 770 to:
% 15.69/4.21 | (128) ~ (e1 = e0)
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (3460), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (680) all_0_17_17 = e0
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (680,688) yields a new equation:
% 15.69/4.21 | (911) e4 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (911) can reduce 7 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (252) ~ (all_0_17_17 = e0)
% 15.69/4.21 | (3527) all_0_19_19 = e0 | all_0_20_20 = e0
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (3527), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (922) all_0_19_19 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (922) can reduce 137 to:
% 15.69/4.21 | (796) ~ (e4 = e0)
% 15.69/4.21 |
% 15.69/4.21 | Simplifying 796 yields:
% 15.69/4.21 | (7) ~ (e4 = e0)
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (3660), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (1533) all_0_5_5 = e4
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (244,1533) yields a new equation:
% 15.69/4.21 | (911) e4 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (911) can reduce 7 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (1537) ~ (all_0_5_5 = e4)
% 15.69/4.21 | (3753) all_0_6_6 = e4 | all_0_8_8 = e4
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (3753), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (374) all_0_6_6 = e4
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (370,374) yields a new equation:
% 15.69/4.21 | (332) e4 = e1
% 15.69/4.21 |
% 15.69/4.21 | Equations (332) can reduce 210 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (350) ~ (all_0_6_6 = e4)
% 15.69/4.21 | (872) all_0_8_8 = e4
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (954,872) yields a new equation:
% 15.69/4.21 | (471) e4 = e2
% 15.69/4.21 |
% 15.69/4.21 | Equations (471) can reduce 194 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (253) ~ (all_0_19_19 = e0)
% 15.69/4.21 | (249) all_0_20_20 = e0
% 15.69/4.21 |
% 15.69/4.21 | Combining equations (249,1017) yields a new equation:
% 15.69/4.21 | (246) e1 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (246) can reduce 128 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (538) ~ (all_0_9_9 = e0)
% 15.69/4.21 | (546) all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (351), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (909) ~ (all_0_12_12 = e4)
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (3058), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (555) all_0_12_12 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (555) can reduce 1418 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (1418) ~ (all_0_12_12 = e0)
% 15.69/4.21 | (3092) all_0_12_12 = e4 | all_0_12_12 = e2
% 15.69/4.21 |
% 15.69/4.21 +-Applying beta-rule and splitting (3092), into two cases.
% 15.69/4.21 |-Branch one:
% 15.69/4.21 | (594) all_0_12_12 = e4
% 15.69/4.21 |
% 15.69/4.21 | Equations (594) can reduce 909 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (909) ~ (all_0_12_12 = e4)
% 15.69/4.21 | (419) all_0_12_12 = e2
% 15.69/4.21 |
% 15.69/4.21 | Equations (419) can reduce 323 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (594) all_0_12_12 = e4
% 15.69/4.21 | (543) all_0_9_9 = e0
% 15.69/4.21 |
% 15.69/4.21 | Equations (543) can reduce 538 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.21 |-Branch two:
% 15.69/4.21 | (322) ~ (all_0_11_11 = e2)
% 15.69/4.21 | (651) all_0_19_19 = e2
% 15.69/4.21 |
% 15.69/4.21 | Equations (651) can reduce 2506 to:
% 15.69/4.21 | (247) $false
% 15.69/4.21 |
% 15.69/4.21 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (872) all_0_8_8 = e4
% 15.69/4.22 | (536) all_0_4_4 = e0
% 15.69/4.22 |
% 15.69/4.22 | Equations (536) can reduce 558 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 15.69/4.22 |
% 15.69/4.22 | Applying alpha-rule on (379) yields:
% 15.69/4.22 | (380) all_0_15_15 = e2
% 15.69/4.22 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 15.69/4.22 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 15.69/4.22 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 15.69/4.22 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 15.69/4.22 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 15.69/4.22 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 15.69/4.22 | (387) ~ (unit = e0)
% 15.69/4.22 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 15.69/4.22 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 15.69/4.22 | (390) ~ (all_0_10_10 = e0)
% 15.69/4.22 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 15.69/4.22 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (380,314) yields a new equation:
% 15.69/4.22 | (311) e3 = e2
% 15.69/4.22 |
% 15.69/4.22 | Equations (311) can reduce 191 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 15.69/4.22 |
% 15.69/4.22 | Applying alpha-rule on (395) yields:
% 15.69/4.22 | (396) ~ (all_0_1_1 = e1)
% 15.69/4.22 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 15.69/4.22 | (227) ~ (all_0_14_14 = e1)
% 15.69/4.22 | (225) ~ (all_0_4_4 = e1)
% 15.69/4.22 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 15.69/4.22 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 15.69/4.22 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 15.69/4.22 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 15.69/4.22 | (231) ~ (all_0_16_16 = e1)
% 15.69/4.22 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 15.69/4.22 | (286) ~ (all_0_10_10 = e1)
% 15.69/4.22 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 15.69/4.22 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 15.69/4.22 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 15.69/4.22 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 15.69/4.22 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 15.69/4.22 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 15.69/4.22 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 15.69/4.22 | (285) ~ (all_0_9_9 = e1)
% 15.69/4.22 | (229) ~ (all_0_15_15 = e1)
% 15.69/4.22 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 15.69/4.22 |
% 15.69/4.22 | Equations (581) can reduce 286 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (286) ~ (all_0_10_10 = e1)
% 15.69/4.22 | (1981) all_0_11_11 = e1 | all_0_12_12 = e1
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (31), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (692) all_0_0_0 = e1
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (692,1168) yields a new equation:
% 15.69/4.22 | (299) e3 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (299) can reduce 132 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (214) ~ (all_0_0_0 = e1)
% 15.69/4.22 | (1064) all_0_5_5 = e1 | all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_17_17 = e1
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (1064), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (233) all_0_5_5 = e1
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (233,244) yields a new equation:
% 15.69/4.22 | (245) e1 = e0
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 245 yields:
% 15.69/4.22 | (246) e1 = e0
% 15.69/4.22 |
% 15.69/4.22 | Equations (246) can reduce 128 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (1026) ~ (all_0_5_5 = e1)
% 15.69/4.22 | (1070) all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_17_17 = e1
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (1070), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (581) all_0_10_10 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (581) can reduce 286 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (286) ~ (all_0_10_10 = e1)
% 15.69/4.22 | (1555) all_0_14_14 = e1 | all_0_17_17 = e1
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (1555), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (426) all_0_14_14 = e1
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (293,426) yields a new equation:
% 15.69/4.22 | (629) e2 = e1
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 629 yields:
% 15.69/4.22 | (420) e2 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (420) can reduce 138 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (227) ~ (all_0_14_14 = e1)
% 15.69/4.22 | (262) all_0_17_17 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (262) can reduce 243 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (1188) ~ (all_0_0_0 = e3)
% 15.69/4.22 | (3250) all_0_2_2 = e3 | all_0_3_3 = e3
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (3250), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (755) all_0_2_2 = e3
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (755,1371) yields a new equation:
% 15.69/4.22 | (773) e3 = e1
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 773 yields:
% 15.69/4.22 | (299) e3 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (299) can reduce 132 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (925) ~ (all_0_2_2 = e3)
% 15.69/4.22 | (2586) all_0_3_3 = e3
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (919,2586) yields a new equation:
% 15.69/4.22 | (761) e3 = e0
% 15.69/4.22 |
% 15.69/4.22 | Equations (761) can reduce 64 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (216) ~ (all_0_2_2 = e1)
% 15.69/4.22 | (1374) all_0_2_2 = e3 | all_0_2_2 = e0
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (155), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (692) all_0_0_0 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (692) can reduce 127 to:
% 15.69/4.22 | (2069) ~ (all_0_10_10 = e1)
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 2069 yields:
% 15.69/4.22 | (286) ~ (all_0_10_10 = e1)
% 15.69/4.22 |
% 15.69/4.22 | Equations (692) can reduce 913 to:
% 15.69/4.22 | (128) ~ (e1 = e0)
% 15.69/4.22 |
% 15.69/4.22 | From (692) and (153) follows:
% 15.69/4.22 | (3865) op(e4, e3) = e1
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (197), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (1168) all_0_0_0 = e3
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (1168,692) yields a new equation:
% 15.69/4.22 | (773) e3 = e1
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 773 yields:
% 15.69/4.22 | (299) e3 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (299) can reduce 132 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (1188) ~ (all_0_0_0 = e3)
% 15.69/4.22 | (3250) all_0_2_2 = e3 | all_0_3_3 = e3
% 15.69/4.22 |
% 15.69/4.22 | Equations (692) can reduce 1188 to:
% 15.69/4.22 | (287) ~ (e3 = e1)
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 287 yields:
% 15.69/4.22 | (132) ~ (e3 = e1)
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (182), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (289) all_0_9_9 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (289) can reduce 285 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (285) ~ (all_0_9_9 = e1)
% 15.69/4.22 | (1977) all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (30), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (581) all_0_10_10 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (581) can reduce 286 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (286) ~ (all_0_10_10 = e1)
% 15.69/4.22 | (584) all_0_10_10 = e4 | all_0_10_10 = e2 | all_0_10_10 = e0
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (212), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (1168) all_0_0_0 = e3
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (1168,692) yields a new equation:
% 15.69/4.22 | (773) e3 = e1
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 773 yields:
% 15.69/4.22 | (299) e3 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (299) can reduce 132 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (1188) ~ (all_0_0_0 = e3)
% 15.69/4.22 | (1816) all_0_5_5 = e3 | all_0_14_14 = e3 | all_0_17_17 = e3
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (1816), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (772) all_0_5_5 = e3
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (772,244) yields a new equation:
% 15.69/4.22 | (1006) e3 = e0
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 1006 yields:
% 15.69/4.22 | (761) e3 = e0
% 15.69/4.22 |
% 15.69/4.22 | Equations (761) can reduce 64 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (776) ~ (all_0_5_5 = e3)
% 15.69/4.22 | (1821) all_0_14_14 = e3 | all_0_17_17 = e3
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (1821), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (310) all_0_14_14 = e3
% 15.69/4.22 |
% 15.69/4.22 | Combining equations (293,310) yields a new equation:
% 15.69/4.22 | (311) e3 = e2
% 15.69/4.22 |
% 15.69/4.22 | Equations (311) can reduce 191 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (313) ~ (all_0_14_14 = e3)
% 15.69/4.22 | (684) all_0_17_17 = e3
% 15.69/4.22 |
% 15.69/4.22 | Equations (684) can reduce 53 to:
% 15.69/4.22 | (995) ~ (all_0_16_16 = e3)
% 15.69/4.22 |
% 15.69/4.22 | Equations (684) can reduce 204 to:
% 15.69/4.22 | (2659) ~ (all_0_19_19 = e3)
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 2659 yields:
% 15.69/4.22 | (1004) ~ (all_0_19_19 = e3)
% 15.69/4.22 |
% 15.69/4.22 | From (684) and (98) follows:
% 15.69/4.22 | (3902) op(e0, e3) = e3
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (1977), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (581) all_0_10_10 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (581) can reduce 286 to:
% 15.69/4.22 | (247) $false
% 15.69/4.22 |
% 15.69/4.22 |-The branch is then unsatisfiable
% 15.69/4.22 |-Branch two:
% 15.69/4.22 | (286) ~ (all_0_10_10 = e1)
% 15.69/4.22 | (1981) all_0_11_11 = e1 | all_0_12_12 = e1
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (1981), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (1794) all_0_11_11 = e1
% 15.69/4.22 |
% 15.69/4.22 | Equations (1794) can reduce 23 to:
% 15.69/4.22 | (276) ~ (all_0_7_7 = e1)
% 15.69/4.22 |
% 15.69/4.22 | Equations (1794) can reduce 34 to:
% 15.69/4.22 | (279) ~ (e4 = e1)
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 279 yields:
% 15.69/4.22 | (210) ~ (e4 = e1)
% 15.69/4.22 |
% 15.69/4.22 | Equations (1794) can reduce 66 to:
% 15.69/4.22 | (287) ~ (e3 = e1)
% 15.69/4.22 |
% 15.69/4.22 | Simplifying 287 yields:
% 15.69/4.22 | (132) ~ (e3 = e1)
% 15.69/4.22 |
% 15.69/4.22 +-Applying beta-rule and splitting (163), into two cases.
% 15.69/4.22 |-Branch one:
% 15.69/4.22 | (303) all_0_10_10 = e2
% 15.69/4.22 |
% 15.69/4.23 | Equations (303) can reduce 294 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (294) ~ (all_0_10_10 = e2)
% 15.69/4.23 | (306) all_0_11_11 = e2 | all_0_12_12 = e2
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (87), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (572) all_0_4_4 = e3
% 15.69/4.23 |
% 15.69/4.23 | Equations (572) can reduce 41 to:
% 15.69/4.23 | (1704) ~ (all_0_7_7 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 1704 yields:
% 15.69/4.23 | (787) ~ (all_0_7_7 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Equations (572) can reduce 129 to:
% 15.69/4.23 | (2587) ~ (all_0_8_8 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 2587 yields:
% 15.69/4.23 | (834) ~ (all_0_8_8 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Equations (572) can reduce 76 to:
% 15.69/4.23 | (1106) ~ (all_0_16_16 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 1106 yields:
% 15.69/4.23 | (995) ~ (all_0_16_16 = e3)
% 15.69/4.23 |
% 15.69/4.23 | From (572) and (4) follows:
% 15.69/4.23 | (1457) op(e3, e4) = e3
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (99), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (634) all_0_7_7 = e2
% 15.69/4.23 |
% 15.69/4.23 | Equations (634) can reduce 85 to:
% 15.69/4.23 | (75) ~ (all_0_2_2 = e2)
% 15.69/4.23 |
% 15.69/4.23 | Equations (634) can reduce 209 to:
% 15.69/4.23 | (467) ~ (e4 = e2)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 467 yields:
% 15.69/4.23 | (194) ~ (e4 = e2)
% 15.69/4.23 |
% 15.69/4.23 | Equations (634) can reduce 276 to:
% 15.69/4.23 | (138) ~ (e2 = e1)
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (306), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (307) all_0_11_11 = e2
% 15.69/4.23 |
% 15.69/4.23 | Combining equations (1794,307) yields a new equation:
% 15.69/4.23 | (420) e2 = e1
% 15.69/4.23 |
% 15.69/4.23 | Equations (420) can reduce 138 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (322) ~ (all_0_11_11 = e2)
% 15.69/4.23 | (419) all_0_12_12 = e2
% 15.69/4.23 |
% 15.69/4.23 | Equations (419) can reduce 117 to:
% 15.69/4.23 | (320) ~ (all_0_8_8 = e2)
% 15.69/4.23 |
% 15.69/4.23 | Equations (419) can reduce 183 to:
% 15.69/4.23 | (36) ~ (all_0_9_9 = e2)
% 15.69/4.23 |
% 15.69/4.23 | Equations (419) can reduce 44 to:
% 15.69/4.23 | (308) ~ (e3 = e2)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 308 yields:
% 15.69/4.23 | (191) ~ (e3 = e2)
% 15.69/4.23 |
% 15.69/4.23 | Equations (419) can reduce 1418 to:
% 15.69/4.23 | (47) ~ (e2 = e0)
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (179), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (755) all_0_2_2 = e3
% 15.69/4.23 |
% 15.69/4.23 | Equations (755) can reduce 97 to:
% 15.69/4.23 | (2659) ~ (all_0_19_19 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 2659 yields:
% 15.69/4.23 | (1004) ~ (all_0_19_19 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Equations (755) can reduce 82 to:
% 15.69/4.23 | (790) ~ (e4 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 790 yields:
% 15.69/4.23 | (24) ~ (e4 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Equations (755) can reduce 75 to:
% 15.69/4.23 | (191) ~ (e3 = e2)
% 15.69/4.23 |
% 15.69/4.23 | Equations (755) can reduce 770 to:
% 15.69/4.23 | (64) ~ (e3 = e0)
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (162), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (767) all_0_2_2 = e0
% 15.69/4.23 |
% 15.69/4.23 | Combining equations (755,767) yields a new equation:
% 15.69/4.23 | (1006) e3 = e0
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 1006 yields:
% 15.69/4.23 | (761) e3 = e0
% 15.69/4.23 |
% 15.69/4.23 | Equations (761) can reduce 64 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (770) ~ (all_0_2_2 = e0)
% 15.69/4.23 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (771), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (778) all_0_7_7 = e0
% 15.69/4.23 |
% 15.69/4.23 | Combining equations (634,778) yields a new equation:
% 15.69/4.23 | (779) e2 = e0
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 779 yields:
% 15.69/4.23 | (552) e2 = e0
% 15.69/4.23 |
% 15.69/4.23 | Equations (552) can reduce 47 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (710) ~ (all_0_7_7 = e0)
% 15.69/4.23 | (783) all_0_11_11 = e0 | all_0_19_19 = e0
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (783), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (551) all_0_11_11 = e0
% 15.69/4.23 |
% 15.69/4.23 | Combining equations (1794,551) yields a new equation:
% 15.69/4.23 | (245) e1 = e0
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 245 yields:
% 15.69/4.23 | (246) e1 = e0
% 15.69/4.23 |
% 15.69/4.23 | Equations (246) can reduce 128 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (554) ~ (all_0_11_11 = e0)
% 15.69/4.23 | (922) all_0_19_19 = e0
% 15.69/4.23 |
% 15.69/4.23 | Equations (922) can reduce 57 to:
% 15.69/4.23 | (1405) ~ (all_0_16_16 = e0)
% 15.69/4.23 |
% 15.69/4.23 | Equations (922) can reduce 1004 to:
% 15.69/4.23 | (713) ~ (e3 = e0)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 713 yields:
% 15.69/4.23 | (64) ~ (e3 = e0)
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (13), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (536) all_0_4_4 = e0
% 15.69/4.23 |
% 15.69/4.23 | Combining equations (572,536) yields a new equation:
% 15.69/4.23 | (1006) e3 = e0
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 1006 yields:
% 15.69/4.23 | (761) e3 = e0
% 15.69/4.23 |
% 15.69/4.23 | Equations (761) can reduce 64 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (558) ~ (all_0_4_4 = e0)
% 15.69/4.23 | (563) all_0_9_9 = e0 | all_0_16_16 = e0
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (29), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (927) all_0_0_0 = e4
% 15.69/4.23 |
% 15.69/4.23 | Combining equations (927,692) yields a new equation:
% 15.69/4.23 | (331) e4 = e1
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 331 yields:
% 15.69/4.23 | (332) e4 = e1
% 15.69/4.23 |
% 15.69/4.23 | Equations (332) can reduce 210 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (354) ~ (all_0_0_0 = e4)
% 15.69/4.23 | (1158) all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4
% 15.69/4.23 |
% 15.69/4.23 | Equations (692) can reduce 354 to:
% 15.69/4.23 | (279) ~ (e4 = e1)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 279 yields:
% 15.69/4.23 | (210) ~ (e4 = e1)
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (203), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (543) all_0_9_9 = e0
% 15.69/4.23 |
% 15.69/4.23 | Equations (543) can reduce 107 to:
% 15.69/4.23 | (2620) ~ (all_0_16_16 = e0)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 2620 yields:
% 15.69/4.23 | (1405) ~ (all_0_16_16 = e0)
% 15.69/4.23 |
% 15.69/4.23 | Equations (543) can reduce 36 to:
% 15.69/4.23 | (539) ~ (e2 = e0)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 539 yields:
% 15.69/4.23 | (47) ~ (e2 = e0)
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (118), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (575) all_0_4_4 = e4
% 15.69/4.23 |
% 15.69/4.23 | Combining equations (572,575) yields a new equation:
% 15.69/4.23 | (873) e4 = e3
% 15.69/4.23 |
% 15.69/4.23 | Equations (873) can reduce 24 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (697) ~ (all_0_4_4 = e4)
% 15.69/4.23 | (1494) all_0_9_9 = e4 | all_0_16_16 = e4
% 15.69/4.23 |
% 15.69/4.23 | Equations (572) can reduce 697 to:
% 15.69/4.23 | (790) ~ (e4 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Simplifying 790 yields:
% 15.69/4.23 | (24) ~ (e4 = e3)
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (174), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (1500) all_0_16_16 = e4
% 15.69/4.23 |
% 15.69/4.23 | Equations (1500) can reduce 995 to:
% 15.69/4.23 | (24) ~ (e4 = e3)
% 15.69/4.23 |
% 15.69/4.23 | Equations (1500) can reduce 1405 to:
% 15.69/4.23 | (7) ~ (e4 = e0)
% 15.69/4.23 |
% 15.69/4.23 | From (1500) and (78) follows:
% 15.69/4.23 | (1807) op(e0, e4) = e4
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (169), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (266) all_0_8_8 = e1
% 15.69/4.23 |
% 15.69/4.23 | Equations (266) can reduce 239 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (239) ~ (all_0_8_8 = e1)
% 15.69/4.23 | (748) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e0
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (1158), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (1533) all_0_5_5 = e4
% 15.69/4.23 |
% 15.69/4.23 | Combining equations (244,1533) yields a new equation:
% 15.69/4.23 | (911) e4 = e0
% 15.69/4.23 |
% 15.69/4.23 | Equations (911) can reduce 7 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (1537) ~ (all_0_5_5 = e4)
% 15.69/4.23 | (1538) all_0_10_10 = e4 | all_0_17_17 = e4
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (1538), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (589) all_0_10_10 = e4
% 15.69/4.23 |
% 15.69/4.23 | From (589) and (16) follows:
% 15.69/4.23 | (4008) op(e2, e3) = e4
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (748), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (749) all_0_8_8 = e0
% 15.69/4.23 |
% 15.69/4.23 | Equations (749) can reduce 712 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (712) ~ (all_0_8_8 = e0)
% 15.69/4.23 | (752) all_0_8_8 = e4 | all_0_8_8 = e3 | all_0_8_8 = e2
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (752), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (788) all_0_8_8 = e3
% 15.69/4.23 |
% 15.69/4.23 | Equations (788) can reduce 834 to:
% 15.69/4.23 | (247) $false
% 15.69/4.23 |
% 15.69/4.23 |-The branch is then unsatisfiable
% 15.69/4.23 |-Branch two:
% 15.69/4.23 | (834) ~ (all_0_8_8 = e3)
% 15.69/4.23 | (950) all_0_8_8 = e4 | all_0_8_8 = e2
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (950), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (872) all_0_8_8 = e4
% 15.69/4.23 |
% 15.69/4.23 | Equations (872) can reduce 320 to:
% 15.69/4.23 | (194) ~ (e4 = e2)
% 15.69/4.23 |
% 15.69/4.23 | From (872) and (181) follows:
% 15.69/4.23 | (4019) op(e3, e0) = e4
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (3), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (316), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 15.69/4.23 |
% 15.69/4.23 +-Applying beta-rule and splitting (317), into two cases.
% 15.69/4.23 |-Branch one:
% 15.69/4.23 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 15.69/4.24 |
% 15.69/4.24 +-Applying beta-rule and splitting (318), into two cases.
% 15.69/4.24 |-Branch one:
% 15.69/4.24 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 15.69/4.24 |
% 15.69/4.24 | Applying alpha-rule on (319) yields:
% 15.69/4.24 | (320) ~ (all_0_8_8 = e2)
% 15.69/4.24 | (321) ~ (all_0_5_5 = e2)
% 15.69/4.24 | (322) ~ (all_0_11_11 = e2)
% 15.69/4.24 | (323) ~ (all_0_12_12 = e2)
% 15.69/4.24 | (324) ~ (all_0_20_20 = e2)
% 15.69/4.24 | (325) ~ (unit = e2)
% 15.69/4.24 | (326) ~ (all_0_14_14 = e2)
% 15.69/4.24 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 15.69/4.24 | (328) ~ (all_0_17_17 = e2)
% 15.69/4.24 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 15.69/4.24 | (330) all_0_1_1 = e4
% 15.69/4.24 |
% 15.69/4.24 | Equations (293) can reduce 326 to:
% 15.69/4.24 | (247) $false
% 15.69/4.24 |
% 15.69/4.24 |-The branch is then unsatisfiable
% 15.69/4.24 |-Branch two:
% 15.69/4.24 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 15.69/4.24 |
% 15.69/4.24 | Applying alpha-rule on (334) yields:
% 15.69/4.24 | (301) ~ (all_0_13_13 = e3)
% 15.69/4.24 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 15.69/4.24 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 15.69/4.24 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 15.69/4.24 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 15.69/4.24 | (340) ~ (all_0_15_15 = e3)
% 15.69/4.24 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 15.69/4.24 | (303) all_0_10_10 = e2
% 15.69/4.24 | (343) ~ (unit = e3)
% 15.69/4.24 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 15.69/4.24 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 15.69/4.24 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 15.69/4.24 |
% 15.69/4.24 | Combining equations (589,303) yields a new equation:
% 15.69/4.24 | (470) e4 = e2
% 15.69/4.24 |
% 15.69/4.24 | Simplifying 470 yields:
% 15.69/4.24 | (471) e4 = e2
% 15.69/4.24 |
% 15.69/4.24 | Equations (471) can reduce 194 to:
% 15.69/4.24 | (247) $false
% 15.69/4.24 |
% 15.69/4.24 |-The branch is then unsatisfiable
% 15.69/4.24 |-Branch two:
% 15.69/4.24 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 15.69/4.24 |
% 15.69/4.24 | Applying alpha-rule on (348) yields:
% 15.69/4.24 | (349) ~ (unit = e4)
% 15.69/4.24 | (350) ~ (all_0_6_6 = e4)
% 15.69/4.24 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 15.69/4.24 | (352) ~ (all_0_18_18 = e4)
% 15.69/4.24 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 15.69/4.24 | (354) ~ (all_0_0_0 = e4)
% 15.69/4.24 | (355) ~ (all_0_10_10 = e4)
% 15.69/4.24 | (356) ~ (all_0_3_3 = e4)
% 15.69/4.24 | (224) all_0_13_13 = e1
% 15.69/4.24 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 15.69/4.24 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 15.69/4.24 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 15.69/4.24 |
% 15.69/4.24 | Equations (589) can reduce 355 to:
% 15.69/4.24 | (247) $false
% 15.69/4.24 |
% 15.69/4.24 |-The branch is then unsatisfiable
% 15.69/4.24 |-Branch two:
% 15.69/4.24 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 15.69/4.24 |
% 15.69/4.24 | Applying alpha-rule on (379) yields:
% 15.69/4.24 | (380) all_0_15_15 = e2
% 15.69/4.24 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 15.69/4.24 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 15.69/4.24 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 15.69/4.24 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 15.69/4.24 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 15.69/4.24 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 15.69/4.24 | (387) ~ (unit = e0)
% 15.69/4.24 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 15.69/4.24 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 15.69/4.24 | (390) ~ (all_0_10_10 = e0)
% 15.69/4.24 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 15.69/4.24 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 15.69/4.24 |
% 15.69/4.24 | Combining equations (380,314) yields a new equation:
% 15.69/4.24 | (311) e3 = e2
% 15.69/4.24 |
% 15.69/4.24 | Equations (311) can reduce 191 to:
% 15.69/4.24 | (247) $false
% 15.69/4.24 |
% 15.69/4.24 |-The branch is then unsatisfiable
% 15.69/4.24 |-Branch two:
% 15.69/4.24 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 15.69/4.24 |
% 15.69/4.24 | Applying alpha-rule on (395) yields:
% 15.69/4.24 | (396) ~ (all_0_1_1 = e1)
% 15.69/4.24 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 15.69/4.24 | (227) ~ (all_0_14_14 = e1)
% 15.69/4.24 | (225) ~ (all_0_4_4 = e1)
% 15.69/4.24 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 15.69/4.24 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 15.69/4.24 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 15.69/4.24 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 15.69/4.24 | (231) ~ (all_0_16_16 = e1)
% 15.69/4.24 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 15.69/4.24 | (286) ~ (all_0_10_10 = e1)
% 15.69/4.24 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 15.69/4.24 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 15.69/4.24 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 15.69/4.24 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 15.69/4.24 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 15.69/4.24 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 15.69/4.24 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 15.69/4.24 | (285) ~ (all_0_9_9 = e1)
% 15.69/4.24 | (229) ~ (all_0_15_15 = e1)
% 15.69/4.24 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 15.69/4.24 |
% 15.69/4.24 | Equations (543) can reduce 285 to:
% 15.69/4.24 | (541) ~ (e1 = e0)
% 15.69/4.24 |
% 15.69/4.24 | Simplifying 541 yields:
% 15.69/4.24 | (128) ~ (e1 = e0)
% 15.69/4.24 |
% 15.69/4.24 +-Applying beta-rule and splitting (407), into two cases.
% 15.69/4.24 |-Branch one:
% 15.69/4.24 | (1568) ~ (all_0_13_13 = e1)
% 15.69/4.24 |
% 15.69/4.24 | Equations (224) can reduce 1568 to:
% 15.69/4.24 | (247) $false
% 15.69/4.24 |
% 15.69/4.24 |-The branch is then unsatisfiable
% 15.69/4.24 |-Branch two:
% 15.69/4.24 | (224) all_0_13_13 = e1
% 15.69/4.24 | (1438) ~ (unit = e1)
% 15.69/4.24 |
% 15.69/4.24 +-Applying beta-rule and splitting (59), into two cases.
% 15.69/4.24 |-Branch one:
% 15.69/4.24 | (1434) unit = e1
% 15.69/4.24 |
% 15.69/4.24 | Equations (1434) can reduce 1438 to:
% 15.69/4.24 | (247) $false
% 15.69/4.24 |
% 15.69/4.24 |-The branch is then unsatisfiable
% 15.69/4.24 |-Branch two:
% 15.69/4.24 | (1438) ~ (unit = e1)
% 15.69/4.24 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 15.69/4.24 |
% 15.69/4.24 +-Applying beta-rule and splitting (1439), into two cases.
% 15.69/4.24 |-Branch one:
% 15.69/4.24 | (1440) unit = e0
% 15.69/4.24 |
% 15.69/4.24 | Equations (1440) can reduce 1438 to:
% 15.69/4.24 | (541) ~ (e1 = e0)
% 15.69/4.24 |
% 15.69/4.24 | Simplifying 541 yields:
% 15.69/4.24 | (128) ~ (e1 = e0)
% 15.69/4.24 |
% 15.69/4.24 | From (1440) and (15) follows:
% 15.69/4.24 | (3148) op(e4, e0) = e4
% 15.69/4.24 |
% 15.69/4.24 | From (1440) and (159) follows:
% 15.69/4.24 | (3137) op(e3, e0) = e3
% 15.69/4.24 |
% 15.69/4.24 | From (1440) and (186) follows:
% 15.69/4.24 | (3549) op(e1, e0) = e1
% 15.69/4.24 |
% 15.69/4.24 | Instantiating formula (120) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 15.69/4.24 | (911) e4 = e0
% 15.69/4.24 |
% 15.69/4.24 | Instantiating formula (120) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields:
% 15.69/4.24 | (873) e4 = e3
% 15.69/4.24 |
% 15.69/4.24 | Instantiating formula (120) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields:
% 15.69/4.24 | (299) e3 = e1
% 15.69/4.24 |
% 15.69/4.24 | Combining equations (911,873) yields a new equation:
% 15.69/4.24 | (761) e3 = e0
% 15.69/4.24 |
% 15.69/4.24 | Combining equations (761,299) yields a new equation:
% 15.69/4.24 | (246) e1 = e0
% 15.69/4.24 |
% 15.69/4.24 | Equations (246) can reduce 128 to:
% 15.69/4.24 | (247) $false
% 15.69/4.24 |
% 15.69/4.24 |-The branch is then unsatisfiable
% 15.69/4.24 |-Branch two:
% 15.69/4.24 | (387) ~ (unit = e0)
% 15.69/4.24 | (1443) unit = e4 | unit = e3 | unit = e2
% 15.69/4.24 |
% 15.69/4.24 +-Applying beta-rule and splitting (1443), into two cases.
% 15.69/4.24 |-Branch one:
% 15.69/4.24 | (1444) unit = e3
% 15.69/4.24 |
% 15.69/4.24 | From (1444) and (141) follows:
% 15.69/4.24 | (1431) op(e3, e4) = e4
% 15.69/4.24 |
% 15.69/4.24 | From (1444) and (15) follows:
% 15.69/4.24 | (4130) op(e4, e3) = e4
% 15.69/4.24 |
% 15.69/4.24 | From (1444) and (151) follows:
% 15.69/4.24 | (1445) op(e2, e3) = e2
% 15.69/4.24 |
% 15.69/4.24 | From (1444) and (108) follows:
% 15.69/4.24 | (1446) op(e0, e3) = e0
% 15.69/4.24 |
% 15.69/4.24 | Instantiating formula (120) with e4, e3, e4, e1 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e1, yields:
% 15.69/4.24 | (332) e4 = e1
% 15.69/4.24 |
% 15.69/4.24 | Instantiating formula (120) with e3, e4, e4, e3 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 15.69/4.24 | (873) e4 = e3
% 15.69/4.24 |
% 15.69/4.24 | Instantiating formula (120) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields:
% 15.69/4.25 | (471) e4 = e2
% 15.69/4.25 |
% 15.69/4.25 | Instantiating formula (120) with e0, e3, e0, e3 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields:
% 15.69/4.25 | (761) e3 = e0
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (873,471) yields a new equation:
% 15.69/4.25 | (657) e3 = e2
% 15.69/4.25 |
% 15.69/4.25 | Simplifying 657 yields:
% 15.69/4.25 | (311) e3 = e2
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (332,471) yields a new equation:
% 15.69/4.25 | (420) e2 = e1
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (311,761) yields a new equation:
% 15.69/4.25 | (779) e2 = e0
% 15.69/4.25 |
% 15.69/4.25 | Simplifying 779 yields:
% 15.69/4.25 | (552) e2 = e0
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (552,420) yields a new equation:
% 15.69/4.25 | (246) e1 = e0
% 15.69/4.25 |
% 15.69/4.25 | Equations (246) can reduce 128 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (343) ~ (unit = e3)
% 15.69/4.25 | (1453) unit = e4 | unit = e2
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (1453), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (1454) unit = e4
% 15.69/4.25 |
% 15.69/4.25 | From (1454) and (199) follows:
% 15.69/4.25 | (1455) op(e4, e2) = e2
% 15.69/4.25 |
% 15.69/4.25 | From (1454) and (108) follows:
% 15.69/4.25 | (1458) op(e0, e4) = e0
% 15.69/4.25 |
% 15.69/4.25 | Instantiating formula (120) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields:
% 15.69/4.25 | (471) e4 = e2
% 15.69/4.25 |
% 15.69/4.25 | Instantiating formula (120) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields:
% 15.69/4.25 | (911) e4 = e0
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (471,911) yields a new equation:
% 15.69/4.25 | (779) e2 = e0
% 15.69/4.25 |
% 15.69/4.25 | Simplifying 779 yields:
% 15.69/4.25 | (552) e2 = e0
% 15.69/4.25 |
% 15.69/4.25 | Equations (552) can reduce 47 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (349) ~ (unit = e4)
% 15.69/4.25 | (1470) unit = e2
% 15.69/4.25 |
% 15.69/4.25 | From (1470) and (159) follows:
% 15.69/4.25 | (1910) op(e3, e2) = e3
% 15.69/4.25 |
% 15.69/4.25 | From (1470) and (151) follows:
% 15.69/4.25 | (1911) op(e2, e2) = e2
% 15.69/4.25 |
% 15.69/4.25 | From (1470) and (108) follows:
% 15.69/4.25 | (1472) op(e0, e2) = e0
% 15.69/4.25 |
% 15.69/4.25 | Instantiating formula (120) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 15.69/4.25 | (299) e3 = e1
% 15.69/4.25 |
% 15.69/4.25 | Instantiating formula (120) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 15.69/4.25 | (311) e3 = e2
% 15.69/4.25 |
% 15.69/4.25 | Instantiating formula (120) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 15.69/4.25 | (552) e2 = e0
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (311,299) yields a new equation:
% 15.69/4.25 | (629) e2 = e1
% 15.69/4.25 |
% 15.69/4.25 | Simplifying 629 yields:
% 15.69/4.25 | (420) e2 = e1
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (420,552) yields a new equation:
% 15.69/4.25 | (245) e1 = e0
% 15.69/4.25 |
% 15.69/4.25 | Simplifying 245 yields:
% 15.69/4.25 | (246) e1 = e0
% 15.69/4.25 |
% 15.69/4.25 | Equations (246) can reduce 128 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (701) ~ (all_0_8_8 = e4)
% 15.69/4.25 | (954) all_0_8_8 = e2
% 15.69/4.25 |
% 15.69/4.25 | Equations (954) can reduce 320 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (355) ~ (all_0_10_10 = e4)
% 15.69/4.25 | (688) all_0_17_17 = e4
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (688,684) yields a new equation:
% 15.69/4.25 | (901) e4 = e3
% 15.69/4.25 |
% 15.69/4.25 | Simplifying 901 yields:
% 15.69/4.25 | (873) e4 = e3
% 15.69/4.25 |
% 15.69/4.25 | Equations (873) can reduce 24 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (1300) ~ (all_0_16_16 = e4)
% 15.69/4.25 | (2730) all_0_17_17 = e4 | all_0_18_18 = e4 | all_0_20_20 = e4
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (2730), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (688) all_0_17_17 = e4
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (688,684) yields a new equation:
% 15.69/4.25 | (901) e4 = e3
% 15.69/4.25 |
% 15.69/4.25 | Simplifying 901 yields:
% 15.69/4.25 | (873) e4 = e3
% 15.69/4.25 |
% 15.69/4.25 | Equations (873) can reduce 24 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (992) ~ (all_0_17_17 = e4)
% 15.69/4.25 | (2751) all_0_18_18 = e4 | all_0_20_20 = e4
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (2751), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (365) all_0_18_18 = e4
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (368,365) yields a new equation:
% 15.69/4.25 | (471) e4 = e2
% 15.69/4.25 |
% 15.69/4.25 | Equations (471) can reduce 194 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (352) ~ (all_0_18_18 = e4)
% 15.69/4.25 | (910) all_0_20_20 = e4
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (910,1017) yields a new equation:
% 15.69/4.25 | (331) e4 = e1
% 15.69/4.25 |
% 15.69/4.25 | Simplifying 331 yields:
% 15.69/4.25 | (332) e4 = e1
% 15.69/4.25 |
% 15.69/4.25 | Equations (332) can reduce 210 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (538) ~ (all_0_9_9 = e0)
% 15.69/4.25 | (546) all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (563), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (543) all_0_9_9 = e0
% 15.69/4.25 |
% 15.69/4.25 | Equations (543) can reduce 538 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (538) ~ (all_0_9_9 = e0)
% 15.69/4.25 | (1503) all_0_16_16 = e0
% 15.69/4.25 |
% 15.69/4.25 | Equations (1503) can reduce 1405 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (925) ~ (all_0_2_2 = e3)
% 15.69/4.25 | (926) all_0_7_7 = e3 | all_0_19_19 = e3
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (926), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (784) all_0_7_7 = e3
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (634,784) yields a new equation:
% 15.69/4.25 | (311) e3 = e2
% 15.69/4.25 |
% 15.69/4.25 | Equations (311) can reduce 191 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (787) ~ (all_0_7_7 = e3)
% 15.69/4.25 | (946) all_0_19_19 = e3
% 15.69/4.25 |
% 15.69/4.25 | Equations (946) can reduce 1004 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (444) ~ (all_0_7_7 = e2)
% 15.69/4.25 | (637) all_0_11_11 = e2 | all_0_19_19 = e2
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (205), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (1055) all_0_7_7 = e1
% 15.69/4.25 |
% 15.69/4.25 | Equations (1055) can reduce 276 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (276) ~ (all_0_7_7 = e1)
% 15.69/4.25 | (4211) all_0_7_7 = e3 | all_0_7_7 = e2 | all_0_7_7 = e0
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (4211), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (778) all_0_7_7 = e0
% 15.69/4.25 |
% 15.69/4.25 | Equations (778) can reduce 710 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (710) ~ (all_0_7_7 = e0)
% 15.69/4.25 | (4215) all_0_7_7 = e3 | all_0_7_7 = e2
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (4215), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (784) all_0_7_7 = e3
% 15.69/4.25 |
% 15.69/4.25 | Equations (784) can reduce 787 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (787) ~ (all_0_7_7 = e3)
% 15.69/4.25 | (634) all_0_7_7 = e2
% 15.69/4.25 |
% 15.69/4.25 | Equations (634) can reduce 444 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (436) ~ (all_0_4_4 = e3)
% 15.69/4.25 | (2404) all_0_13_13 = e3 | all_0_16_16 = e3
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (2404), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (298) all_0_13_13 = e3
% 15.69/4.25 |
% 15.69/4.25 | Combining equations (224,298) yields a new equation:
% 15.69/4.25 | (299) e3 = e1
% 15.69/4.25 |
% 15.69/4.25 | Equations (299) can reduce 132 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (301) ~ (all_0_13_13 = e3)
% 15.69/4.25 | (435) all_0_16_16 = e3
% 15.69/4.25 |
% 15.69/4.25 | Equations (435) can reduce 995 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (1075) ~ (all_0_11_11 = e1)
% 15.69/4.25 | (282) all_0_12_12 = e1
% 15.69/4.25 |
% 15.69/4.25 | Equations (282) can reduce 1012 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (214) ~ (all_0_0_0 = e1)
% 15.69/4.25 | (2462) all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (38), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (692) all_0_0_0 = e1
% 15.69/4.25 |
% 15.69/4.25 | Equations (692) can reduce 214 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (214) ~ (all_0_0_0 = e1)
% 15.69/4.25 | (695) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e0
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (1374), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (767) all_0_2_2 = e0
% 15.69/4.25 |
% 15.69/4.25 | Equations (767) can reduce 770 to:
% 15.69/4.25 | (247) $false
% 15.69/4.25 |
% 15.69/4.25 |-The branch is then unsatisfiable
% 15.69/4.25 |-Branch two:
% 15.69/4.25 | (770) ~ (all_0_2_2 = e0)
% 15.69/4.25 | (755) all_0_2_2 = e3
% 15.69/4.25 |
% 15.69/4.25 | Equations (755) can reduce 25 to:
% 15.69/4.25 | (1188) ~ (all_0_0_0 = e3)
% 15.69/4.25 |
% 15.69/4.25 +-Applying beta-rule and splitting (695), into two cases.
% 15.69/4.25 |-Branch one:
% 15.69/4.25 | (795) all_0_0_0 = e0
% 15.69/4.25 |
% 15.69/4.25 | Equations (795) can reduce 913 to:
% 15.69/4.25 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (913) ~ (all_0_0_0 = e0)
% 15.69/4.26 | (1167) all_0_0_0 = e4 | all_0_0_0 = e3
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (1167), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (1168) all_0_0_0 = e3
% 15.69/4.26 |
% 15.69/4.26 | Equations (1168) can reduce 1188 to:
% 15.69/4.26 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (1188) ~ (all_0_0_0 = e3)
% 15.69/4.26 | (927) all_0_0_0 = e4
% 15.69/4.26 |
% 15.69/4.26 | Equations (927) can reduce 354 to:
% 15.69/4.26 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (250) ~ (all_0_3_3 = e0)
% 15.69/4.26 | (2585) all_0_3_3 = e4 | all_0_3_3 = e3
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (2585), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (2586) all_0_3_3 = e3
% 15.69/4.26 |
% 15.69/4.26 | Equations (2586) can reduce 789 to:
% 15.69/4.26 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (789) ~ (all_0_3_3 = e3)
% 15.69/4.26 | (800) all_0_3_3 = e4
% 15.69/4.26 |
% 15.69/4.26 | Equations (800) can reduce 356 to:
% 15.69/4.26 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (340) ~ (all_0_15_15 = e3)
% 15.69/4.26 | (380) all_0_15_15 = e2
% 15.69/4.26 |
% 15.69/4.26 | Equations (380) can reduce 296 to:
% 15.69/4.26 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (326) ~ (all_0_14_14 = e2)
% 15.69/4.26 | (380) all_0_15_15 = e2
% 15.69/4.26 |
% 15.69/4.26 | Equations (380) can reduce 50 to:
% 15.69/4.26 | (103) ~ (all_0_3_3 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (380) can reduce 43 to:
% 15.69/4.26 | (320) ~ (all_0_8_8 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (380) can reduce 111 to:
% 15.69/4.26 | (323) ~ (all_0_12_12 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (380) can reduce 229 to:
% 15.69/4.26 | (138) ~ (e2 = e1)
% 15.69/4.26 |
% 15.69/4.26 | Equations (380) can reduce 152 to:
% 15.69/4.26 | (47) ~ (e2 = e0)
% 15.69/4.26 |
% 15.69/4.26 | From (380) and (112) follows:
% 15.69/4.26 | (1255) op(e1, e0) = e2
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (95), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (638) all_0_5_5 = e2
% 15.69/4.26 |
% 15.69/4.26 | Combining equations (638,244) yields a new equation:
% 15.69/4.26 | (779) e2 = e0
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 779 yields:
% 15.69/4.26 | (552) e2 = e0
% 15.69/4.26 |
% 15.69/4.26 | Equations (552) can reduce 47 to:
% 15.69/4.26 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (321) ~ (all_0_5_5 = e2)
% 15.69/4.26 | (722) all_0_6_6 = e2 | all_0_7_7 = e2 | all_0_8_8 = e2
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (722), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (377) all_0_6_6 = e2
% 15.69/4.26 |
% 15.69/4.26 | Combining equations (370,377) yields a new equation:
% 15.69/4.26 | (420) e2 = e1
% 15.69/4.26 |
% 15.69/4.26 | Equations (420) can reduce 138 to:
% 15.69/4.26 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (369) ~ (all_0_6_6 = e2)
% 15.69/4.26 | (727) all_0_7_7 = e2 | all_0_8_8 = e2
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (727), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (634) all_0_7_7 = e2
% 15.69/4.26 |
% 15.69/4.26 | Equations (634) can reduce 85 to:
% 15.69/4.26 | (75) ~ (all_0_2_2 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (634) can reduce 41 to:
% 15.69/4.26 | (187) ~ (all_0_4_4 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (634) can reduce 23 to:
% 15.69/4.26 | (645) ~ (all_0_11_11 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 645 yields:
% 15.69/4.26 | (322) ~ (all_0_11_11 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (634) can reduce 32 to:
% 15.69/4.26 | (3314) ~ (all_0_19_19 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 3314 yields:
% 15.69/4.26 | (2506) ~ (all_0_19_19 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (634) can reduce 209 to:
% 15.69/4.26 | (467) ~ (e4 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 467 yields:
% 15.69/4.26 | (194) ~ (e4 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (634) can reduce 276 to:
% 15.69/4.26 | (138) ~ (e2 = e1)
% 15.69/4.26 |
% 15.69/4.26 | From (634) and (39) follows:
% 15.69/4.26 | (1861) op(e3, e1) = e2
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (163), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (303) all_0_10_10 = e2
% 15.69/4.26 |
% 15.69/4.26 | Equations (303) can reduce 127 to:
% 15.69/4.26 | (55) ~ (all_0_0_0 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (303) can reduce 45 to:
% 15.69/4.26 | (3687) ~ (all_0_12_12 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 3687 yields:
% 15.69/4.26 | (323) ~ (all_0_12_12 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (303) can reduce 93 to:
% 15.69/4.26 | (4296) ~ (all_0_14_14 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 4296 yields:
% 15.69/4.26 | (326) ~ (all_0_14_14 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (303) can reduce 122 to:
% 15.69/4.26 | (1084) ~ (all_0_17_17 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 1084 yields:
% 15.69/4.26 | (328) ~ (all_0_17_17 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (303) can reduce 196 to:
% 15.69/4.26 | (308) ~ (e3 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 308 yields:
% 15.69/4.26 | (191) ~ (e3 = e2)
% 15.69/4.26 |
% 15.69/4.26 | Equations (303) can reduce 390 to:
% 15.69/4.26 | (47) ~ (e2 = e0)
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (31), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (692) all_0_0_0 = e1
% 15.69/4.26 |
% 15.69/4.26 | Equations (692) can reduce 61 to:
% 15.69/4.26 | (217) ~ (all_0_3_3 = e1)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 217 yields:
% 15.69/4.26 | (218) ~ (all_0_3_3 = e1)
% 15.69/4.26 |
% 15.69/4.26 | Equations (692) can reduce 188 to:
% 15.69/4.26 | (226) ~ (all_0_14_14 = e1)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 226 yields:
% 15.69/4.26 | (227) ~ (all_0_14_14 = e1)
% 15.69/4.26 |
% 15.69/4.26 | Equations (692) can reduce 55 to:
% 15.69/4.26 | (2057) ~ (e2 = e1)
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 2057 yields:
% 15.69/4.26 | (138) ~ (e2 = e1)
% 15.69/4.26 |
% 15.69/4.26 | Equations (692) can reduce 913 to:
% 15.69/4.26 | (128) ~ (e1 = e0)
% 15.69/4.26 |
% 15.69/4.26 | From (692) and (153) follows:
% 15.69/4.26 | (3865) op(e4, e3) = e1
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (182), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (289) all_0_9_9 = e1
% 15.69/4.26 |
% 15.69/4.26 | Equations (289) can reduce 285 to:
% 15.69/4.26 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (285) ~ (all_0_9_9 = e1)
% 15.69/4.26 | (1977) all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (1977), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (581) all_0_10_10 = e1
% 15.69/4.26 |
% 15.69/4.26 | Combining equations (303,581) yields a new equation:
% 15.69/4.26 | (629) e2 = e1
% 15.69/4.26 |
% 15.69/4.26 | Simplifying 629 yields:
% 15.69/4.26 | (420) e2 = e1
% 15.69/4.26 |
% 15.69/4.26 | Equations (420) can reduce 138 to:
% 15.69/4.26 | (247) $false
% 15.69/4.26 |
% 15.69/4.26 |-The branch is then unsatisfiable
% 15.69/4.26 |-Branch two:
% 15.69/4.26 | (286) ~ (all_0_10_10 = e1)
% 15.69/4.26 | (1981) all_0_11_11 = e1 | all_0_12_12 = e1
% 15.69/4.26 |
% 15.69/4.26 +-Applying beta-rule and splitting (1981), into two cases.
% 15.69/4.26 |-Branch one:
% 15.69/4.26 | (1794) all_0_11_11 = e1
% 15.69/4.26 |
% 15.69/4.26 | Equations (1794) can reduce 48 to:
% 15.69/4.26 | (216) ~ (all_0_2_2 = e1)
% 15.69/4.26 |
% 15.69/4.26 | Equations (1794) can reduce 180 to:
% 15.69/4.26 | (285) ~ (all_0_9_9 = e1)
% 15.69/4.26 |
% 15.69/4.26 | Equations (1794) can reduce 42 to:
% 16.07/4.26 | (3051) ~ (all_0_12_12 = e1)
% 16.07/4.26 |
% 16.07/4.26 | Simplifying 3051 yields:
% 16.07/4.26 | (1012) ~ (all_0_12_12 = e1)
% 16.07/4.26 |
% 16.07/4.26 | Equations (1794) can reduce 206 to:
% 16.07/4.26 | (2113) ~ (all_0_19_19 = e1)
% 16.07/4.26 |
% 16.07/4.26 | Simplifying 2113 yields:
% 16.07/4.26 | (1021) ~ (all_0_19_19 = e1)
% 16.07/4.26 |
% 16.07/4.26 | Equations (1794) can reduce 34 to:
% 16.07/4.26 | (279) ~ (e4 = e1)
% 16.07/4.26 |
% 16.07/4.26 | Simplifying 279 yields:
% 16.07/4.26 | (210) ~ (e4 = e1)
% 16.07/4.26 |
% 16.07/4.26 | Equations (1794) can reduce 66 to:
% 16.07/4.26 | (287) ~ (e3 = e1)
% 16.07/4.26 |
% 16.07/4.26 | Simplifying 287 yields:
% 16.07/4.26 | (132) ~ (e3 = e1)
% 16.07/4.26 |
% 16.07/4.26 | From (1794) and (149) follows:
% 16.07/4.26 | (2196) op(e2, e1) = e1
% 16.07/4.26 |
% 16.07/4.26 +-Applying beta-rule and splitting (125), into two cases.
% 16.07/4.26 |-Branch one:
% 16.07/4.26 | (298) all_0_13_13 = e3
% 16.07/4.26 |
% 16.07/4.26 | Combining equations (224,298) yields a new equation:
% 16.07/4.26 | (299) e3 = e1
% 16.07/4.26 |
% 16.07/4.26 | Equations (299) can reduce 132 to:
% 16.07/4.26 | (247) $false
% 16.07/4.26 |
% 16.07/4.26 |-The branch is then unsatisfiable
% 16.07/4.26 |-Branch two:
% 16.07/4.26 | (301) ~ (all_0_13_13 = e3)
% 16.07/4.26 | (302) all_0_14_14 = e3 | all_0_15_15 = e3
% 16.07/4.26 |
% 16.07/4.26 +-Applying beta-rule and splitting (29), into two cases.
% 16.07/4.26 |-Branch one:
% 16.07/4.26 | (927) all_0_0_0 = e4
% 16.07/4.26 |
% 16.07/4.26 | Combining equations (927,692) yields a new equation:
% 16.07/4.26 | (331) e4 = e1
% 16.07/4.26 |
% 16.07/4.26 | Simplifying 331 yields:
% 16.07/4.26 | (332) e4 = e1
% 16.07/4.26 |
% 16.07/4.26 | Equations (332) can reduce 210 to:
% 16.07/4.26 | (247) $false
% 16.07/4.26 |
% 16.07/4.26 |-The branch is then unsatisfiable
% 16.07/4.26 |-Branch two:
% 16.07/4.26 | (354) ~ (all_0_0_0 = e4)
% 16.07/4.26 | (1158) all_0_5_5 = e4 | all_0_10_10 = e4 | all_0_17_17 = e4
% 16.07/4.26 |
% 16.07/4.26 +-Applying beta-rule and splitting (302), into two cases.
% 16.07/4.26 |-Branch one:
% 16.07/4.26 | (310) all_0_14_14 = e3
% 16.07/4.26 |
% 16.07/4.26 | Equations (310) can reduce 326 to:
% 16.07/4.26 | (191) ~ (e3 = e2)
% 16.07/4.26 |
% 16.07/4.26 | Equations (310) can reduce 227 to:
% 16.07/4.26 | (132) ~ (e3 = e1)
% 16.07/4.26 |
% 16.07/4.26 | Equations (310) can reduce 70 to:
% 16.07/4.26 | (64) ~ (e3 = e0)
% 16.07/4.26 |
% 16.07/4.26 | From (310) and (105) follows:
% 16.07/4.26 | (2231) op(e1, e3) = e3
% 16.07/4.26 |
% 16.07/4.26 +-Applying beta-rule and splitting (1158), into two cases.
% 16.07/4.26 |-Branch one:
% 16.07/4.26 | (1533) all_0_5_5 = e4
% 16.07/4.26 |
% 16.07/4.26 | Combining equations (1533,244) yields a new equation:
% 16.07/4.26 | (1496) e4 = e0
% 16.07/4.26 |
% 16.07/4.26 | Simplifying 1496 yields:
% 16.07/4.26 | (911) e4 = e0
% 16.07/4.26 |
% 16.07/4.26 | Equations (911) can reduce 7 to:
% 16.07/4.26 | (247) $false
% 16.07/4.26 |
% 16.07/4.26 |-The branch is then unsatisfiable
% 16.07/4.26 |-Branch two:
% 16.07/4.26 | (1537) ~ (all_0_5_5 = e4)
% 16.07/4.26 | (1538) all_0_10_10 = e4 | all_0_17_17 = e4
% 16.07/4.26 |
% 16.07/4.26 +-Applying beta-rule and splitting (1538), into two cases.
% 16.07/4.26 |-Branch one:
% 16.07/4.26 | (589) all_0_10_10 = e4
% 16.07/4.26 |
% 16.07/4.26 | Combining equations (303,589) yields a new equation:
% 16.07/4.26 | (471) e4 = e2
% 16.07/4.26 |
% 16.07/4.26 | Equations (471) can reduce 194 to:
% 16.07/4.26 | (247) $false
% 16.07/4.26 |
% 16.07/4.26 |-The branch is then unsatisfiable
% 16.07/4.26 |-Branch two:
% 16.07/4.26 | (355) ~ (all_0_10_10 = e4)
% 16.07/4.26 | (688) all_0_17_17 = e4
% 16.07/4.26 |
% 16.07/4.26 | Equations (688) can reduce 53 to:
% 16.07/4.26 | (1300) ~ (all_0_16_16 = e4)
% 16.07/4.26 |
% 16.07/4.26 | Equations (688) can reduce 204 to:
% 16.07/4.26 | (3713) ~ (all_0_19_19 = e4)
% 16.07/4.26 |
% 16.07/4.26 | Simplifying 3713 yields:
% 16.07/4.26 | (137) ~ (all_0_19_19 = e4)
% 16.07/4.26 |
% 16.07/4.26 | Equations (688) can reduce 328 to:
% 16.07/4.26 | (194) ~ (e4 = e2)
% 16.07/4.26 |
% 16.07/4.26 | From (688) and (98) follows:
% 16.07/4.26 | (4365) op(e0, e3) = e4
% 16.07/4.26 |
% 16.07/4.26 +-Applying beta-rule and splitting (49), into two cases.
% 16.07/4.26 |-Branch one:
% 16.07/4.26 | (1371) all_0_2_2 = e1
% 16.07/4.26 |
% 16.07/4.26 | Equations (1371) can reduce 216 to:
% 16.07/4.26 | (247) $false
% 16.07/4.26 |
% 16.07/4.26 |-The branch is then unsatisfiable
% 16.07/4.26 |-Branch two:
% 16.07/4.26 | (216) ~ (all_0_2_2 = e1)
% 16.07/4.26 | (1374) all_0_2_2 = e3 | all_0_2_2 = e0
% 16.07/4.26 |
% 16.07/4.26 +-Applying beta-rule and splitting (52), into two cases.
% 16.07/4.26 |-Branch one:
% 16.07/4.27 | (795) all_0_0_0 = e0
% 16.07/4.27 |
% 16.07/4.27 | Combining equations (795,692) yields a new equation:
% 16.07/4.27 | (246) e1 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (246) can reduce 128 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (913) ~ (all_0_0_0 = e0)
% 16.07/4.27 | (914) all_0_2_2 = e0 | all_0_3_3 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (692) can reduce 913 to:
% 16.07/4.27 | (128) ~ (e1 = e0)
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (13), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (536) all_0_4_4 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (536) can reduce 558 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (558) ~ (all_0_4_4 = e0)
% 16.07/4.27 | (563) all_0_9_9 = e0 | all_0_16_16 = e0
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (179), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (755) all_0_2_2 = e3
% 16.07/4.27 |
% 16.07/4.27 | Equations (755) can reduce 115 to:
% 16.07/4.27 | (4381) ~ (all_0_3_3 = e3)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 4381 yields:
% 16.07/4.27 | (789) ~ (all_0_3_3 = e3)
% 16.07/4.27 |
% 16.07/4.27 | Equations (755) can reduce 97 to:
% 16.07/4.27 | (2659) ~ (all_0_19_19 = e3)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 2659 yields:
% 16.07/4.27 | (1004) ~ (all_0_19_19 = e3)
% 16.07/4.27 |
% 16.07/4.27 | Equations (755) can reduce 82 to:
% 16.07/4.27 | (790) ~ (e4 = e3)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 790 yields:
% 16.07/4.27 | (24) ~ (e4 = e3)
% 16.07/4.27 |
% 16.07/4.27 | Equations (755) can reduce 216 to:
% 16.07/4.27 | (132) ~ (e3 = e1)
% 16.07/4.27 |
% 16.07/4.27 | From (755) and (17) follows:
% 16.07/4.27 | (3066) op(e4, e1) = e3
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (102), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (274) all_0_19_19 = e1
% 16.07/4.27 |
% 16.07/4.27 | Equations (274) can reduce 1021 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (1021) ~ (all_0_19_19 = e1)
% 16.07/4.27 | (2666) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e0
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (83), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (258) all_0_3_3 = e1
% 16.07/4.27 |
% 16.07/4.27 | Equations (258) can reduce 218 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (218) ~ (all_0_3_3 = e1)
% 16.07/4.27 | (2440) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (162), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (767) all_0_2_2 = e0
% 16.07/4.27 |
% 16.07/4.27 | Combining equations (767,755) yields a new equation:
% 16.07/4.27 | (761) e3 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (761) can reduce 64 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (770) ~ (all_0_2_2 = e0)
% 16.07/4.27 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (2440), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (919) all_0_3_3 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (919) can reduce 20 to:
% 16.07/4.27 | (711) ~ (all_0_8_8 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 711 yields:
% 16.07/4.27 | (712) ~ (all_0_8_8 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Equations (919) can reduce 84 to:
% 16.07/4.27 | (1417) ~ (all_0_12_12 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 1417 yields:
% 16.07/4.27 | (1418) ~ (all_0_12_12 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Equations (919) can reduce 356 to:
% 16.07/4.27 | (796) ~ (e4 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 796 yields:
% 16.07/4.27 | (7) ~ (e4 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Equations (919) can reduce 789 to:
% 16.07/4.27 | (713) ~ (e3 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 713 yields:
% 16.07/4.27 | (64) ~ (e3 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Equations (919) can reduce 103 to:
% 16.07/4.27 | (539) ~ (e2 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 539 yields:
% 16.07/4.27 | (47) ~ (e2 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Equations (919) can reduce 218 to:
% 16.07/4.27 | (541) ~ (e1 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 541 yields:
% 16.07/4.27 | (128) ~ (e1 = e0)
% 16.07/4.27 |
% 16.07/4.27 | From (919) and (71) follows:
% 16.07/4.27 | (2259) op(e4, e0) = e0
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (771), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (778) all_0_7_7 = e0
% 16.07/4.27 |
% 16.07/4.27 | Combining equations (634,778) yields a new equation:
% 16.07/4.27 | (779) e2 = e0
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 779 yields:
% 16.07/4.27 | (552) e2 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (552) can reduce 47 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (710) ~ (all_0_7_7 = e0)
% 16.07/4.27 | (783) all_0_11_11 = e0 | all_0_19_19 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (634) can reduce 710 to:
% 16.07/4.27 | (47) ~ (e2 = e0)
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (166), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (282) all_0_12_12 = e1
% 16.07/4.27 |
% 16.07/4.27 | Equations (282) can reduce 1012 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (1012) ~ (all_0_12_12 = e1)
% 16.07/4.27 | (3058) all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e0
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (11), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (435) all_0_16_16 = e3
% 16.07/4.27 |
% 16.07/4.27 | Equations (435) can reduce 1300 to:
% 16.07/4.27 | (790) ~ (e4 = e3)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 790 yields:
% 16.07/4.27 | (24) ~ (e4 = e3)
% 16.07/4.27 |
% 16.07/4.27 | Equations (435) can reduce 33 to:
% 16.07/4.27 | (191) ~ (e3 = e2)
% 16.07/4.27 |
% 16.07/4.27 | Equations (435) can reduce 231 to:
% 16.07/4.27 | (132) ~ (e3 = e1)
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (171), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (1503) all_0_16_16 = e0
% 16.07/4.27 |
% 16.07/4.27 | Combining equations (435,1503) yields a new equation:
% 16.07/4.27 | (1006) e3 = e0
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 1006 yields:
% 16.07/4.27 | (761) e3 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (761) can reduce 64 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (1405) ~ (all_0_16_16 = e0)
% 16.07/4.27 | (3460) all_0_17_17 = e0 | all_0_19_19 = e0 | all_0_20_20 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (435) can reduce 1405 to:
% 16.07/4.27 | (64) ~ (e3 = e0)
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (154), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (2586) all_0_3_3 = e3
% 16.07/4.27 |
% 16.07/4.27 | Combining equations (2586,919) yields a new equation:
% 16.07/4.27 | (1006) e3 = e0
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 1006 yields:
% 16.07/4.27 | (761) e3 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (761) can reduce 64 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (789) ~ (all_0_3_3 = e3)
% 16.07/4.27 | (3135) all_0_8_8 = e3 | all_0_15_15 = e3 | all_0_20_20 = e3
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (3135), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (788) all_0_8_8 = e3
% 16.07/4.27 |
% 16.07/4.27 | Equations (788) can reduce 712 to:
% 16.07/4.27 | (64) ~ (e3 = e0)
% 16.07/4.27 |
% 16.07/4.27 | From (788) and (181) follows:
% 16.07/4.27 | (3137) op(e3, e0) = e3
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (203), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (543) all_0_9_9 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (543) can reduce 6 to:
% 16.07/4.27 | (558) ~ (all_0_4_4 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Equations (543) can reduce 285 to:
% 16.07/4.27 | (541) ~ (e1 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 541 yields:
% 16.07/4.27 | (128) ~ (e1 = e0)
% 16.07/4.27 |
% 16.07/4.27 | From (543) and (175) follows:
% 16.07/4.27 | (4452) op(e2, e4) = e0
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (118), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (575) all_0_4_4 = e4
% 16.07/4.27 |
% 16.07/4.27 | Equations (575) can reduce 187 to:
% 16.07/4.27 | (194) ~ (e4 = e2)
% 16.07/4.27 |
% 16.07/4.27 | Equations (575) can reduce 558 to:
% 16.07/4.27 | (7) ~ (e4 = e0)
% 16.07/4.27 |
% 16.07/4.27 | From (575) and (4) follows:
% 16.07/4.27 | (1431) op(e3, e4) = e4
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (170), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (602) all_0_9_9 = e4
% 16.07/4.27 |
% 16.07/4.27 | Combining equations (543,602) yields a new equation:
% 16.07/4.27 | (911) e4 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (911) can reduce 7 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (577) ~ (all_0_9_9 = e4)
% 16.07/4.27 | (957) all_0_10_10 = e4 | all_0_12_12 = e4
% 16.07/4.27 |
% 16.07/4.27 | Equations (543) can reduce 577 to:
% 16.07/4.27 | (796) ~ (e4 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 796 yields:
% 16.07/4.27 | (7) ~ (e4 = e0)
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (3460), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (680) all_0_17_17 = e0
% 16.07/4.27 |
% 16.07/4.27 | Combining equations (680,688) yields a new equation:
% 16.07/4.27 | (911) e4 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (911) can reduce 7 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (252) ~ (all_0_17_17 = e0)
% 16.07/4.27 | (3527) all_0_19_19 = e0 | all_0_20_20 = e0
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (957), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (589) all_0_10_10 = e4
% 16.07/4.27 |
% 16.07/4.27 | Combining equations (303,589) yields a new equation:
% 16.07/4.27 | (471) e4 = e2
% 16.07/4.27 |
% 16.07/4.27 | Equations (471) can reduce 194 to:
% 16.07/4.27 | (247) $false
% 16.07/4.27 |
% 16.07/4.27 |-The branch is then unsatisfiable
% 16.07/4.27 |-Branch two:
% 16.07/4.27 | (355) ~ (all_0_10_10 = e4)
% 16.07/4.27 | (594) all_0_12_12 = e4
% 16.07/4.27 |
% 16.07/4.27 | From (594) and (19) follows:
% 16.07/4.27 | (1744) op(e2, e0) = e4
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (2666), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (922) all_0_19_19 = e0
% 16.07/4.27 |
% 16.07/4.27 | Equations (922) can reduce 1021 to:
% 16.07/4.27 | (541) ~ (e1 = e0)
% 16.07/4.27 |
% 16.07/4.27 | Simplifying 541 yields:
% 16.07/4.27 | (128) ~ (e1 = e0)
% 16.07/4.27 |
% 16.07/4.27 +-Applying beta-rule and splitting (59), into two cases.
% 16.07/4.27 |-Branch one:
% 16.07/4.27 | (1434) unit = e1
% 16.07/4.27 |
% 16.07/4.27 | From (1434) and (46) follows:
% 16.07/4.27 | (1435) op(e1, e0) = e0
% 16.07/4.27 |
% 16.07/4.27 | From (1434) and (15) follows:
% 16.07/4.27 | (4480) op(e4, e1) = e4
% 16.07/4.27 |
% 16.07/4.27 | From (1434) and (159) follows:
% 16.07/4.27 | (1866) op(e3, e1) = e3
% 16.07/4.27 |
% 16.07/4.27 | From (1434) and (186) follows:
% 16.07/4.27 | (1867) op(e1, e1) = e1
% 16.07/4.27 |
% 16.07/4.27 | Instantiating formula (120) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields:
% 16.07/4.27 | (873) e4 = e3
% 16.07/4.27 |
% 16.07/4.27 | Instantiating formula (120) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 16.07/4.27 | (311) e3 = e2
% 16.07/4.27 |
% 16.07/4.27 | Instantiating formula (120) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields:
% 16.07/4.28 | (332) e4 = e1
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields:
% 16.07/4.28 | (552) e2 = e0
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (332,873) yields a new equation:
% 16.07/4.28 | (299) e3 = e1
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (299,311) yields a new equation:
% 16.07/4.28 | (420) e2 = e1
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (552,420) yields a new equation:
% 16.07/4.28 | (246) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (246) can reduce 128 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (1438) ~ (unit = e1)
% 16.07/4.28 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 16.07/4.28 |
% 16.07/4.28 +-Applying beta-rule and splitting (1439), into two cases.
% 16.07/4.28 |-Branch one:
% 16.07/4.28 | (1440) unit = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (1440) can reduce 1438 to:
% 16.07/4.28 | (541) ~ (e1 = e0)
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 541 yields:
% 16.07/4.28 | (128) ~ (e1 = e0)
% 16.07/4.28 |
% 16.07/4.28 | From (1440) and (15) follows:
% 16.07/4.28 | (3148) op(e4, e0) = e4
% 16.07/4.28 |
% 16.07/4.28 | From (1440) and (151) follows:
% 16.07/4.28 | (3149) op(e2, e0) = e2
% 16.07/4.28 |
% 16.07/4.28 | From (1440) and (186) follows:
% 16.07/4.28 | (3549) op(e1, e0) = e1
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 16.07/4.28 | (911) e4 = e0
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields:
% 16.07/4.28 | (471) e4 = e2
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields:
% 16.07/4.28 | (420) e2 = e1
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (911,471) yields a new equation:
% 16.07/4.28 | (552) e2 = e0
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (552,420) yields a new equation:
% 16.07/4.28 | (246) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (246) can reduce 128 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (387) ~ (unit = e0)
% 16.07/4.28 | (1443) unit = e4 | unit = e3 | unit = e2
% 16.07/4.28 |
% 16.07/4.28 +-Applying beta-rule and splitting (1443), into two cases.
% 16.07/4.28 |-Branch one:
% 16.07/4.28 | (1444) unit = e3
% 16.07/4.28 |
% 16.07/4.28 | From (1444) and (46) follows:
% 16.07/4.28 | (3157) op(e3, e0) = e0
% 16.07/4.28 |
% 16.07/4.28 | From (1444) and (186) follows:
% 16.07/4.28 | (2251) op(e1, e3) = e1
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 16.07/4.28 | (761) e3 = e0
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 16.07/4.28 | (299) e3 = e1
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (299,761) yields a new equation:
% 16.07/4.28 | (245) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 245 yields:
% 16.07/4.28 | (246) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (246) can reduce 128 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (343) ~ (unit = e3)
% 16.07/4.28 | (1453) unit = e4 | unit = e2
% 16.07/4.28 |
% 16.07/4.28 +-Applying beta-rule and splitting (1453), into two cases.
% 16.07/4.28 |-Branch one:
% 16.07/4.28 | (1454) unit = e4
% 16.07/4.28 |
% 16.07/4.28 | From (1454) and (199) follows:
% 16.07/4.28 | (1455) op(e4, e2) = e2
% 16.07/4.28 |
% 16.07/4.28 | From (1454) and (172) follows:
% 16.07/4.28 | (3167) op(e4, e1) = e1
% 16.07/4.28 |
% 16.07/4.28 | From (1454) and (159) follows:
% 16.07/4.28 | (1457) op(e3, e4) = e3
% 16.07/4.28 |
% 16.07/4.28 | From (1454) and (151) follows:
% 16.07/4.28 | (4521) op(e2, e4) = e2
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields:
% 16.07/4.28 | (471) e4 = e2
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields:
% 16.07/4.28 | (299) e3 = e1
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 16.07/4.28 | (873) e4 = e3
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields:
% 16.07/4.28 | (552) e2 = e0
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (873,471) yields a new equation:
% 16.07/4.28 | (657) e3 = e2
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 657 yields:
% 16.07/4.28 | (311) e3 = e2
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (311,299) yields a new equation:
% 16.07/4.28 | (629) e2 = e1
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 629 yields:
% 16.07/4.28 | (420) e2 = e1
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (420,552) yields a new equation:
% 16.07/4.28 | (245) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 245 yields:
% 16.07/4.28 | (246) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (246) can reduce 128 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (349) ~ (unit = e4)
% 16.07/4.28 | (1470) unit = e2
% 16.07/4.28 |
% 16.07/4.28 | From (1470) and (159) follows:
% 16.07/4.28 | (1910) op(e3, e2) = e3
% 16.07/4.28 |
% 16.07/4.28 | From (1470) and (151) follows:
% 16.07/4.28 | (1911) op(e2, e2) = e2
% 16.07/4.28 |
% 16.07/4.28 | From (1470) and (108) follows:
% 16.07/4.28 | (1472) op(e0, e2) = e0
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 16.07/4.28 | (299) e3 = e1
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 16.07/4.28 | (311) e3 = e2
% 16.07/4.28 |
% 16.07/4.28 | Instantiating formula (120) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 16.07/4.28 | (552) e2 = e0
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (311,299) yields a new equation:
% 16.07/4.28 | (629) e2 = e1
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 629 yields:
% 16.07/4.28 | (420) e2 = e1
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (420,552) yields a new equation:
% 16.07/4.28 | (245) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 245 yields:
% 16.07/4.28 | (246) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (246) can reduce 128 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (253) ~ (all_0_19_19 = e0)
% 16.07/4.28 | (2670) all_0_19_19 = e3 | all_0_19_19 = e2
% 16.07/4.28 |
% 16.07/4.28 +-Applying beta-rule and splitting (3527), into two cases.
% 16.07/4.28 |-Branch one:
% 16.07/4.28 | (922) all_0_19_19 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (922) can reduce 253 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (253) ~ (all_0_19_19 = e0)
% 16.07/4.28 | (249) all_0_20_20 = e0
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (1017,249) yields a new equation:
% 16.07/4.28 | (245) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 245 yields:
% 16.07/4.28 | (246) e1 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (246) can reduce 128 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (697) ~ (all_0_4_4 = e4)
% 16.07/4.28 | (1494) all_0_9_9 = e4 | all_0_16_16 = e4
% 16.07/4.28 |
% 16.07/4.28 +-Applying beta-rule and splitting (170), into two cases.
% 16.07/4.28 |-Branch one:
% 16.07/4.28 | (602) all_0_9_9 = e4
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (543,602) yields a new equation:
% 16.07/4.28 | (911) e4 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (911) can reduce 7 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (577) ~ (all_0_9_9 = e4)
% 16.07/4.28 | (957) all_0_10_10 = e4 | all_0_12_12 = e4
% 16.07/4.28 |
% 16.07/4.28 | Equations (543) can reduce 577 to:
% 16.07/4.28 | (796) ~ (e4 = e0)
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 796 yields:
% 16.07/4.28 | (7) ~ (e4 = e0)
% 16.07/4.28 |
% 16.07/4.28 +-Applying beta-rule and splitting (143), into two cases.
% 16.07/4.28 |-Branch one:
% 16.07/4.28 | (575) all_0_4_4 = e4
% 16.07/4.28 |
% 16.07/4.28 | Equations (575) can reduce 697 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (697) ~ (all_0_4_4 = e4)
% 16.07/4.28 | (3660) all_0_5_5 = e4 | all_0_6_6 = e4 | all_0_8_8 = e4
% 16.07/4.28 |
% 16.07/4.28 +-Applying beta-rule and splitting (211), into two cases.
% 16.07/4.28 |-Branch one:
% 16.07/4.28 | (800) all_0_3_3 = e4
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (800,919) yields a new equation:
% 16.07/4.28 | (1496) e4 = e0
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 1496 yields:
% 16.07/4.28 | (911) e4 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (911) can reduce 7 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (356) ~ (all_0_3_3 = e4)
% 16.07/4.28 | (899) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 16.07/4.28 |
% 16.07/4.28 | Equations (919) can reduce 356 to:
% 16.07/4.28 | (796) ~ (e4 = e0)
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 796 yields:
% 16.07/4.28 | (7) ~ (e4 = e0)
% 16.07/4.28 |
% 16.07/4.28 +-Applying beta-rule and splitting (3660), into two cases.
% 16.07/4.28 |-Branch one:
% 16.07/4.28 | (1533) all_0_5_5 = e4
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (244,1533) yields a new equation:
% 16.07/4.28 | (911) e4 = e0
% 16.07/4.28 |
% 16.07/4.28 | Equations (911) can reduce 7 to:
% 16.07/4.28 | (247) $false
% 16.07/4.28 |
% 16.07/4.28 |-The branch is then unsatisfiable
% 16.07/4.28 |-Branch two:
% 16.07/4.28 | (1537) ~ (all_0_5_5 = e4)
% 16.07/4.28 | (3753) all_0_6_6 = e4 | all_0_8_8 = e4
% 16.07/4.28 |
% 16.07/4.28 | Equations (244) can reduce 1537 to:
% 16.07/4.28 | (796) ~ (e4 = e0)
% 16.07/4.28 |
% 16.07/4.28 | Simplifying 796 yields:
% 16.07/4.28 | (7) ~ (e4 = e0)
% 16.07/4.28 |
% 16.07/4.28 +-Applying beta-rule and splitting (3460), into two cases.
% 16.07/4.28 |-Branch one:
% 16.07/4.28 | (680) all_0_17_17 = e0
% 16.07/4.28 |
% 16.07/4.28 | Combining equations (688,680) yields a new equation:
% 16.07/4.28 | (1496) e4 = e0
% 16.07/4.29 |
% 16.07/4.29 | Simplifying 1496 yields:
% 16.07/4.29 | (911) e4 = e0
% 16.07/4.29 |
% 16.07/4.29 | Equations (911) can reduce 7 to:
% 16.07/4.29 | (247) $false
% 16.07/4.29 |
% 16.07/4.29 |-The branch is then unsatisfiable
% 16.07/4.29 |-Branch two:
% 16.07/4.29 | (252) ~ (all_0_17_17 = e0)
% 16.07/4.29 | (3527) all_0_19_19 = e0 | all_0_20_20 = e0
% 16.07/4.29 |
% 16.07/4.29 | Equations (688) can reduce 252 to:
% 16.07/4.29 | (7) ~ (e4 = e0)
% 16.07/4.29 |
% 16.07/4.29 +-Applying beta-rule and splitting (1494), into two cases.
% 16.07/4.29 |-Branch one:
% 16.07/4.29 | (602) all_0_9_9 = e4
% 16.07/4.29 |
% 16.07/4.29 | Combining equations (543,602) yields a new equation:
% 16.07/4.29 | (911) e4 = e0
% 16.07/4.29 |
% 16.07/4.29 | Equations (911) can reduce 7 to:
% 16.07/4.29 | (247) $false
% 16.07/4.29 |
% 16.07/4.29 |-The branch is then unsatisfiable
% 16.07/4.29 |-Branch two:
% 16.07/4.29 | (577) ~ (all_0_9_9 = e4)
% 16.07/4.29 | (1500) all_0_16_16 = e4
% 16.07/4.29 |
% 16.07/4.29 | Combining equations (1500,435) yields a new equation:
% 16.07/4.29 | (901) e4 = e3
% 16.07/4.29 |
% 16.07/4.29 | Simplifying 901 yields:
% 16.07/4.29 | (873) e4 = e3
% 16.07/4.29 |
% 16.07/4.29 | Equations (873) can reduce 24 to:
% 16.07/4.29 | (247) $false
% 16.07/4.29 |
% 16.07/4.29 |-The branch is then unsatisfiable
% 16.07/4.29 |-Branch two:
% 16.07/4.29 | (538) ~ (all_0_9_9 = e0)
% 16.07/4.29 | (546) all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 16.07/4.29 |
% 16.07/4.29 +-Applying beta-rule and splitting (292), into two cases.
% 16.07/4.29 |-Branch one:
% 16.07/4.29 | (543) all_0_9_9 = e0
% 16.07/4.29 |
% 16.07/4.29 | Equations (543) can reduce 538 to:
% 16.07/4.29 | (247) $false
% 16.07/4.29 |
% 16.07/4.29 |-The branch is then unsatisfiable
% 16.07/4.29 |-Branch two:
% 16.07/4.29 | (538) ~ (all_0_9_9 = e0)
% 16.07/4.29 | (602) all_0_9_9 = e4
% 16.07/4.29 |
% 16.07/4.29 | Equations (602) can reduce 538 to:
% 16.07/4.29 | (7) ~ (e4 = e0)
% 16.07/4.29 |
% 16.07/4.29 +-Applying beta-rule and splitting (3460), into two cases.
% 16.07/4.29 |-Branch one:
% 16.07/4.29 | (680) all_0_17_17 = e0
% 16.07/4.29 |
% 16.07/4.29 | Combining equations (688,680) yields a new equation:
% 16.07/4.29 | (1496) e4 = e0
% 16.07/4.29 |
% 16.07/4.29 | Simplifying 1496 yields:
% 16.07/4.29 | (911) e4 = e0
% 16.07/4.29 |
% 16.07/4.29 | Equations (911) can reduce 7 to:
% 16.07/4.29 | (247) $false
% 16.07/4.29 |
% 16.07/4.29 |-The branch is then unsatisfiable
% 16.07/4.29 |-Branch two:
% 16.07/4.29 | (252) ~ (all_0_17_17 = e0)
% 16.07/4.29 | (3527) all_0_19_19 = e0 | all_0_20_20 = e0
% 16.07/4.29 |
% 16.07/4.29 | Equations (688) can reduce 252 to:
% 16.07/4.29 | (7) ~ (e4 = e0)
% 16.07/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (211), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (800) all_0_3_3 = e4
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (800,919) yields a new equation:
% 16.18/4.29 | (1496) e4 = e0
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 1496 yields:
% 16.18/4.29 | (911) e4 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (911) can reduce 7 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (356) ~ (all_0_3_3 = e4)
% 16.18/4.29 | (899) all_0_8_8 = e4 | all_0_12_12 = e4 | all_0_20_20 = e4
% 16.18/4.29 |
% 16.18/4.29 | Equations (919) can reduce 356 to:
% 16.18/4.29 | (796) ~ (e4 = e0)
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 796 yields:
% 16.18/4.29 | (7) ~ (e4 = e0)
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (563), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (543) all_0_9_9 = e0
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (602,543) yields a new equation:
% 16.18/4.29 | (1496) e4 = e0
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 1496 yields:
% 16.18/4.29 | (911) e4 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (911) can reduce 7 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (538) ~ (all_0_9_9 = e0)
% 16.18/4.29 | (1503) all_0_16_16 = e0
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (1503,435) yields a new equation:
% 16.18/4.29 | (761) e3 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (761) can reduce 64 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (834) ~ (all_0_8_8 = e3)
% 16.18/4.29 | (3180) all_0_15_15 = e3 | all_0_20_20 = e3
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (3180), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (314) all_0_15_15 = e3
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (314,380) yields a new equation:
% 16.18/4.29 | (657) e3 = e2
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 657 yields:
% 16.18/4.29 | (311) e3 = e2
% 16.18/4.29 |
% 16.18/4.29 | Equations (311) can reduce 191 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (340) ~ (all_0_15_15 = e3)
% 16.18/4.29 | (1005) all_0_20_20 = e3
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (1017,1005) yields a new equation:
% 16.18/4.29 | (299) e3 = e1
% 16.18/4.29 |
% 16.18/4.29 | Equations (299) can reduce 132 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (995) ~ (all_0_16_16 = e3)
% 16.18/4.29 | (996) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (87), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (572) all_0_4_4 = e3
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (3058), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (555) all_0_12_12 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (555) can reduce 1418 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (1418) ~ (all_0_12_12 = e0)
% 16.18/4.29 | (3092) all_0_12_12 = e4 | all_0_12_12 = e2
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (118), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (575) all_0_4_4 = e4
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (572,575) yields a new equation:
% 16.18/4.29 | (873) e4 = e3
% 16.18/4.29 |
% 16.18/4.29 | Equations (873) can reduce 24 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (697) ~ (all_0_4_4 = e4)
% 16.18/4.29 | (1494) all_0_9_9 = e4 | all_0_16_16 = e4
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (203), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (543) all_0_9_9 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (543) can reduce 183 to:
% 16.18/4.29 | (1417) ~ (all_0_12_12 = e0)
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 1417 yields:
% 16.18/4.29 | (1418) ~ (all_0_12_12 = e0)
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (3092), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (594) all_0_12_12 = e4
% 16.18/4.29 |
% 16.18/4.29 | Equations (594) can reduce 1418 to:
% 16.18/4.29 | (7) ~ (e4 = e0)
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (1494), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (602) all_0_9_9 = e4
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (602,543) yields a new equation:
% 16.18/4.29 | (1496) e4 = e0
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 1496 yields:
% 16.18/4.29 | (911) e4 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (911) can reduce 7 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (577) ~ (all_0_9_9 = e4)
% 16.18/4.29 | (1500) all_0_16_16 = e4
% 16.18/4.29 |
% 16.18/4.29 | Equations (1500) can reduce 1300 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (909) ~ (all_0_12_12 = e4)
% 16.18/4.29 | (419) all_0_12_12 = e2
% 16.18/4.29 |
% 16.18/4.29 | Equations (419) can reduce 323 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (538) ~ (all_0_9_9 = e0)
% 16.18/4.29 | (546) all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (546), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (547) all_0_10_10 = e0
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (303,547) yields a new equation:
% 16.18/4.29 | (779) e2 = e0
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 779 yields:
% 16.18/4.29 | (552) e2 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (552) can reduce 47 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (390) ~ (all_0_10_10 = e0)
% 16.18/4.29 | (550) all_0_11_11 = e0 | all_0_12_12 = e0
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (550), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (551) all_0_11_11 = e0
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (1794,551) yields a new equation:
% 16.18/4.29 | (245) e1 = e0
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 245 yields:
% 16.18/4.29 | (246) e1 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (246) can reduce 128 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (554) ~ (all_0_11_11 = e0)
% 16.18/4.29 | (555) all_0_12_12 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (555) can reduce 1418 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (436) ~ (all_0_4_4 = e3)
% 16.18/4.29 | (2404) all_0_13_13 = e3 | all_0_16_16 = e3
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (2404), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (298) all_0_13_13 = e3
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (224,298) yields a new equation:
% 16.18/4.29 | (299) e3 = e1
% 16.18/4.29 |
% 16.18/4.29 | Equations (299) can reduce 132 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (301) ~ (all_0_13_13 = e3)
% 16.18/4.29 | (435) all_0_16_16 = e3
% 16.18/4.29 |
% 16.18/4.29 | Equations (435) can reduce 995 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (250) ~ (all_0_3_3 = e0)
% 16.18/4.29 | (2585) all_0_3_3 = e4 | all_0_3_3 = e3
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (73), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (919) all_0_3_3 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (919) can reduce 250 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (250) ~ (all_0_3_3 = e0)
% 16.18/4.29 | (4693) all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (2666), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (922) all_0_19_19 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (922) can reduce 1004 to:
% 16.18/4.29 | (713) ~ (e3 = e0)
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 713 yields:
% 16.18/4.29 | (64) ~ (e3 = e0)
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (914), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (767) all_0_2_2 = e0
% 16.18/4.29 |
% 16.18/4.29 | Combining equations (755,767) yields a new equation:
% 16.18/4.29 | (1006) e3 = e0
% 16.18/4.29 |
% 16.18/4.29 | Simplifying 1006 yields:
% 16.18/4.29 | (761) e3 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (761) can reduce 64 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (770) ~ (all_0_2_2 = e0)
% 16.18/4.29 | (919) all_0_3_3 = e0
% 16.18/4.29 |
% 16.18/4.29 | Equations (919) can reduce 250 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (253) ~ (all_0_19_19 = e0)
% 16.18/4.29 | (2670) all_0_19_19 = e3 | all_0_19_19 = e2
% 16.18/4.29 |
% 16.18/4.29 +-Applying beta-rule and splitting (2670), into two cases.
% 16.18/4.29 |-Branch one:
% 16.18/4.29 | (946) all_0_19_19 = e3
% 16.18/4.29 |
% 16.18/4.29 | Equations (946) can reduce 1004 to:
% 16.18/4.29 | (247) $false
% 16.18/4.29 |
% 16.18/4.29 |-The branch is then unsatisfiable
% 16.18/4.29 |-Branch two:
% 16.18/4.29 | (1004) ~ (all_0_19_19 = e3)
% 16.18/4.29 | (651) all_0_19_19 = e2
% 16.18/4.29 |
% 16.18/4.30 | Equations (651) can reduce 2506 to:
% 16.18/4.30 | (247) $false
% 16.18/4.30 |
% 16.18/4.30 |-The branch is then unsatisfiable
% 16.18/4.30 |-Branch two:
% 16.18/4.30 | (925) ~ (all_0_2_2 = e3)
% 16.18/4.30 | (926) all_0_7_7 = e3 | all_0_19_19 = e3
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (197), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (1168) all_0_0_0 = e3
% 16.18/4.30 |
% 16.18/4.30 | Combining equations (1168,692) yields a new equation:
% 16.18/4.30 | (773) e3 = e1
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 773 yields:
% 16.18/4.30 | (299) e3 = e1
% 16.18/4.30 |
% 16.18/4.30 | Equations (299) can reduce 132 to:
% 16.18/4.30 | (247) $false
% 16.18/4.30 |
% 16.18/4.30 |-The branch is then unsatisfiable
% 16.18/4.30 |-Branch two:
% 16.18/4.30 | (1188) ~ (all_0_0_0 = e3)
% 16.18/4.30 | (3250) all_0_2_2 = e3 | all_0_3_3 = e3
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (926), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (784) all_0_7_7 = e3
% 16.18/4.30 |
% 16.18/4.30 | Combining equations (784,634) yields a new equation:
% 16.18/4.30 | (657) e3 = e2
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 657 yields:
% 16.18/4.30 | (311) e3 = e2
% 16.18/4.30 |
% 16.18/4.30 | Equations (311) can reduce 191 to:
% 16.18/4.30 | (247) $false
% 16.18/4.30 |
% 16.18/4.30 |-The branch is then unsatisfiable
% 16.18/4.30 |-Branch two:
% 16.18/4.30 | (787) ~ (all_0_7_7 = e3)
% 16.18/4.30 | (946) all_0_19_19 = e3
% 16.18/4.30 |
% 16.18/4.30 | Equations (946) can reduce 97 to:
% 16.18/4.30 | (925) ~ (all_0_2_2 = e3)
% 16.18/4.30 |
% 16.18/4.30 | Equations (946) can reduce 57 to:
% 16.18/4.30 | (995) ~ (all_0_16_16 = e3)
% 16.18/4.30 |
% 16.18/4.30 | Equations (946) can reduce 137 to:
% 16.18/4.30 | (790) ~ (e4 = e3)
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 790 yields:
% 16.18/4.30 | (24) ~ (e4 = e3)
% 16.18/4.30 |
% 16.18/4.30 | Equations (946) can reduce 1021 to:
% 16.18/4.30 | (132) ~ (e3 = e1)
% 16.18/4.30 |
% 16.18/4.30 | From (946) and (126) follows:
% 16.18/4.30 | (4730) op(e0, e1) = e3
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (171), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (1503) all_0_16_16 = e0
% 16.18/4.30 |
% 16.18/4.30 | Equations (1503) can reduce 107 to:
% 16.18/4.30 | (538) ~ (all_0_9_9 = e0)
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (87), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (572) all_0_4_4 = e3
% 16.18/4.30 |
% 16.18/4.30 | From (572) and (4) follows:
% 16.18/4.30 | (1457) op(e3, e4) = e3
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (162), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (767) all_0_2_2 = e0
% 16.18/4.30 |
% 16.18/4.30 | Equations (767) can reduce 115 to:
% 16.18/4.30 | (2548) ~ (all_0_3_3 = e0)
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 2548 yields:
% 16.18/4.30 | (250) ~ (all_0_3_3 = e0)
% 16.18/4.30 |
% 16.18/4.30 | Equations (767) can reduce 82 to:
% 16.18/4.30 | (796) ~ (e4 = e0)
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 796 yields:
% 16.18/4.30 | (7) ~ (e4 = e0)
% 16.18/4.30 |
% 16.18/4.30 | Equations (767) can reduce 75 to:
% 16.18/4.30 | (539) ~ (e2 = e0)
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 539 yields:
% 16.18/4.30 | (47) ~ (e2 = e0)
% 16.18/4.30 |
% 16.18/4.30 | Equations (767) can reduce 216 to:
% 16.18/4.30 | (541) ~ (e1 = e0)
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 541 yields:
% 16.18/4.30 | (128) ~ (e1 = e0)
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (83), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (258) all_0_3_3 = e1
% 16.18/4.30 |
% 16.18/4.30 | Equations (258) can reduce 218 to:
% 16.18/4.30 | (247) $false
% 16.18/4.30 |
% 16.18/4.30 |-The branch is then unsatisfiable
% 16.18/4.30 |-Branch two:
% 16.18/4.30 | (218) ~ (all_0_3_3 = e1)
% 16.18/4.30 | (2440) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (73), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (919) all_0_3_3 = e0
% 16.18/4.30 |
% 16.18/4.30 | Equations (919) can reduce 250 to:
% 16.18/4.30 | (247) $false
% 16.18/4.30 |
% 16.18/4.30 |-The branch is then unsatisfiable
% 16.18/4.30 |-Branch two:
% 16.18/4.30 | (250) ~ (all_0_3_3 = e0)
% 16.18/4.30 | (4693) all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_20_20 = e0
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (2440), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (919) all_0_3_3 = e0
% 16.18/4.30 |
% 16.18/4.30 | Equations (919) can reduce 250 to:
% 16.18/4.30 | (247) $false
% 16.18/4.30 |
% 16.18/4.30 |-The branch is then unsatisfiable
% 16.18/4.30 |-Branch two:
% 16.18/4.30 | (250) ~ (all_0_3_3 = e0)
% 16.18/4.30 | (2585) all_0_3_3 = e4 | all_0_3_3 = e3
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (118), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (575) all_0_4_4 = e4
% 16.18/4.30 |
% 16.18/4.30 | Combining equations (575,572) yields a new equation:
% 16.18/4.30 | (901) e4 = e3
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 901 yields:
% 16.18/4.30 | (873) e4 = e3
% 16.18/4.30 |
% 16.18/4.30 | Equations (873) can reduce 24 to:
% 16.18/4.30 | (247) $false
% 16.18/4.30 |
% 16.18/4.30 |-The branch is then unsatisfiable
% 16.18/4.30 |-Branch two:
% 16.18/4.30 | (697) ~ (all_0_4_4 = e4)
% 16.18/4.30 | (1494) all_0_9_9 = e4 | all_0_16_16 = e4
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (2585), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (2586) all_0_3_3 = e3
% 16.18/4.30 |
% 16.18/4.30 | Equations (2586) can reduce 84 to:
% 16.18/4.30 | (4763) ~ (all_0_12_12 = e3)
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 4763 yields:
% 16.18/4.30 | (44) ~ (all_0_12_12 = e3)
% 16.18/4.30 |
% 16.18/4.30 | Equations (2586) can reduce 218 to:
% 16.18/4.30 | (132) ~ (e3 = e1)
% 16.18/4.30 |
% 16.18/4.30 | From (2586) and (71) follows:
% 16.18/4.30 | (4766) op(e4, e0) = e3
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (1494), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (602) all_0_9_9 = e4
% 16.18/4.30 |
% 16.18/4.30 | Equations (602) can reduce 183 to:
% 16.18/4.30 | (4768) ~ (all_0_12_12 = e4)
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 4768 yields:
% 16.18/4.30 | (909) ~ (all_0_12_12 = e4)
% 16.18/4.30 |
% 16.18/4.30 | Equations (602) can reduce 285 to:
% 16.18/4.30 | (210) ~ (e4 = e1)
% 16.18/4.30 |
% 16.18/4.30 | Equations (602) can reduce 538 to:
% 16.18/4.30 | (7) ~ (e4 = e0)
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (166), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (282) all_0_12_12 = e1
% 16.18/4.30 |
% 16.18/4.30 | Equations (282) can reduce 1012 to:
% 16.18/4.30 | (247) $false
% 16.18/4.30 |
% 16.18/4.30 |-The branch is then unsatisfiable
% 16.18/4.30 |-Branch two:
% 16.18/4.30 | (1012) ~ (all_0_12_12 = e1)
% 16.18/4.30 | (3058) all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e0
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (203), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (543) all_0_9_9 = e0
% 16.18/4.30 |
% 16.18/4.30 | Combining equations (543,602) yields a new equation:
% 16.18/4.30 | (911) e4 = e0
% 16.18/4.30 |
% 16.18/4.30 | Equations (911) can reduce 7 to:
% 16.18/4.30 | (247) $false
% 16.18/4.30 |
% 16.18/4.30 |-The branch is then unsatisfiable
% 16.18/4.30 |-Branch two:
% 16.18/4.30 | (538) ~ (all_0_9_9 = e0)
% 16.18/4.30 | (546) all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (3), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (316), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (317), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (318), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 16.18/4.30 |
% 16.18/4.30 | Applying alpha-rule on (319) yields:
% 16.18/4.30 | (320) ~ (all_0_8_8 = e2)
% 16.18/4.30 | (321) ~ (all_0_5_5 = e2)
% 16.18/4.30 | (322) ~ (all_0_11_11 = e2)
% 16.18/4.30 | (323) ~ (all_0_12_12 = e2)
% 16.18/4.30 | (324) ~ (all_0_20_20 = e2)
% 16.18/4.30 | (325) ~ (unit = e2)
% 16.18/4.30 | (326) ~ (all_0_14_14 = e2)
% 16.18/4.30 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 16.18/4.30 | (328) ~ (all_0_17_17 = e2)
% 16.18/4.30 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 16.18/4.30 | (330) all_0_1_1 = e4
% 16.18/4.30 |
% 16.18/4.30 | Equations (244) can reduce 321 to:
% 16.18/4.30 | (539) ~ (e2 = e0)
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 539 yields:
% 16.18/4.30 | (47) ~ (e2 = e0)
% 16.18/4.30 |
% 16.18/4.30 +-Applying beta-rule and splitting (3058), into two cases.
% 16.18/4.30 |-Branch one:
% 16.18/4.30 | (555) all_0_12_12 = e0
% 16.18/4.30 |
% 16.18/4.30 | Equations (555) can reduce 1012 to:
% 16.18/4.30 | (541) ~ (e1 = e0)
% 16.18/4.30 |
% 16.18/4.30 | Simplifying 541 yields:
% 16.18/4.30 | (128) ~ (e1 = e0)
% 16.18/4.30 |
% 16.18/4.30 | From (555) and (19) follows:
% 16.18/4.30 | (1908) op(e2, e0) = e0
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (59), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (1434) unit = e1
% 16.18/4.31 |
% 16.18/4.31 | From (1434) and (159) follows:
% 16.18/4.31 | (1866) op(e3, e1) = e3
% 16.18/4.31 |
% 16.18/4.31 | From (1434) and (151) follows:
% 16.18/4.31 | (2233) op(e2, e1) = e2
% 16.18/4.31 |
% 16.18/4.31 | From (1434) and (108) follows:
% 16.18/4.31 | (2696) op(e0, e1) = e0
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 16.18/4.31 | (311) e3 = e2
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields:
% 16.18/4.31 | (420) e2 = e1
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 16.18/4.31 | (761) e3 = e0
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (311,761) yields a new equation:
% 16.18/4.31 | (779) e2 = e0
% 16.18/4.31 |
% 16.18/4.31 | Simplifying 779 yields:
% 16.18/4.31 | (552) e2 = e0
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (552,420) yields a new equation:
% 16.18/4.31 | (246) e1 = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (246) can reduce 128 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (1438) ~ (unit = e1)
% 16.18/4.31 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (1439), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (1440) unit = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (1440) can reduce 1438 to:
% 16.18/4.31 | (541) ~ (e1 = e0)
% 16.18/4.31 |
% 16.18/4.31 | Simplifying 541 yields:
% 16.18/4.31 | (128) ~ (e1 = e0)
% 16.18/4.31 |
% 16.18/4.31 | From (1440) and (151) follows:
% 16.18/4.31 | (3149) op(e2, e0) = e2
% 16.18/4.31 |
% 16.18/4.31 | From (1440) and (186) follows:
% 16.18/4.31 | (3549) op(e1, e0) = e1
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields:
% 16.18/4.31 | (552) e2 = e0
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields:
% 16.18/4.31 | (420) e2 = e1
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (420,552) yields a new equation:
% 16.18/4.31 | (245) e1 = e0
% 16.18/4.31 |
% 16.18/4.31 | Simplifying 245 yields:
% 16.18/4.31 | (246) e1 = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (246) can reduce 128 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (387) ~ (unit = e0)
% 16.18/4.31 | (1443) unit = e4 | unit = e3 | unit = e2
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (1443), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (1444) unit = e3
% 16.18/4.31 |
% 16.18/4.31 | From (1444) and (141) follows:
% 16.18/4.31 | (1431) op(e3, e4) = e4
% 16.18/4.31 |
% 16.18/4.31 | From (1444) and (15) follows:
% 16.18/4.31 | (4130) op(e4, e3) = e4
% 16.18/4.31 |
% 16.18/4.31 | From (1444) and (108) follows:
% 16.18/4.31 | (1446) op(e0, e3) = e0
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e4, e3, e4, e1 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e1, yields:
% 16.18/4.31 | (332) e4 = e1
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e3, e4, e4, e3 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 16.18/4.31 | (873) e4 = e3
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields:
% 16.18/4.31 | (911) e4 = e0
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (332,873) yields a new equation:
% 16.18/4.31 | (299) e3 = e1
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (911,873) yields a new equation:
% 16.18/4.31 | (761) e3 = e0
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (761,299) yields a new equation:
% 16.18/4.31 | (246) e1 = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (246) can reduce 128 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (343) ~ (unit = e3)
% 16.18/4.31 | (1453) unit = e4 | unit = e2
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (1453), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (1454) unit = e4
% 16.18/4.31 |
% 16.18/4.31 | From (1454) and (27) follows:
% 16.18/4.31 | (4841) op(e4, e3) = e3
% 16.18/4.31 |
% 16.18/4.31 | From (1454) and (46) follows:
% 16.18/4.31 | (2259) op(e4, e0) = e0
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e4, e3, e3, e1 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e1, yields:
% 16.18/4.31 | (299) e3 = e1
% 16.18/4.31 |
% 16.18/4.31 | Instantiating formula (120) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields:
% 16.18/4.31 | (761) e3 = e0
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (299,761) yields a new equation:
% 16.18/4.31 | (245) e1 = e0
% 16.18/4.31 |
% 16.18/4.31 | Simplifying 245 yields:
% 16.18/4.31 | (246) e1 = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (246) can reduce 128 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (349) ~ (unit = e4)
% 16.18/4.31 | (1470) unit = e2
% 16.18/4.31 |
% 16.18/4.31 | Equations (1470) can reduce 325 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (1418) ~ (all_0_12_12 = e0)
% 16.18/4.31 | (3092) all_0_12_12 = e4 | all_0_12_12 = e2
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (546), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (547) all_0_10_10 = e0
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (303,547) yields a new equation:
% 16.18/4.31 | (779) e2 = e0
% 16.18/4.31 |
% 16.18/4.31 | Simplifying 779 yields:
% 16.18/4.31 | (552) e2 = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (552) can reduce 47 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (390) ~ (all_0_10_10 = e0)
% 16.18/4.31 | (550) all_0_11_11 = e0 | all_0_12_12 = e0
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (550), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (551) all_0_11_11 = e0
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (1794,551) yields a new equation:
% 16.18/4.31 | (245) e1 = e0
% 16.18/4.31 |
% 16.18/4.31 | Simplifying 245 yields:
% 16.18/4.31 | (246) e1 = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (246) can reduce 128 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (554) ~ (all_0_11_11 = e0)
% 16.18/4.31 | (555) all_0_12_12 = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (555) can reduce 1418 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 16.18/4.31 |
% 16.18/4.31 | Applying alpha-rule on (334) yields:
% 16.18/4.31 | (301) ~ (all_0_13_13 = e3)
% 16.18/4.31 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 16.18/4.31 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 16.18/4.31 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 16.18/4.31 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 16.18/4.31 | (340) ~ (all_0_15_15 = e3)
% 16.18/4.31 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 16.18/4.31 | (303) all_0_10_10 = e2
% 16.18/4.31 | (343) ~ (unit = e3)
% 16.18/4.31 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 16.18/4.31 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 16.18/4.31 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (337), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (1004) ~ (all_0_19_19 = e3)
% 16.18/4.31 |
% 16.18/4.31 | Equations (946) can reduce 1004 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (946) all_0_19_19 = e3
% 16.18/4.31 | (262) all_0_17_17 = e1
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (688,262) yields a new equation:
% 16.18/4.31 | (331) e4 = e1
% 16.18/4.31 |
% 16.18/4.31 | Simplifying 331 yields:
% 16.18/4.31 | (332) e4 = e1
% 16.18/4.31 |
% 16.18/4.31 | Equations (332) can reduce 210 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 16.18/4.31 |
% 16.18/4.31 | Applying alpha-rule on (348) yields:
% 16.18/4.31 | (349) ~ (unit = e4)
% 16.18/4.31 | (350) ~ (all_0_6_6 = e4)
% 16.18/4.31 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 16.18/4.31 | (352) ~ (all_0_18_18 = e4)
% 16.18/4.31 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 16.18/4.31 | (354) ~ (all_0_0_0 = e4)
% 16.18/4.31 | (355) ~ (all_0_10_10 = e4)
% 16.18/4.31 | (356) ~ (all_0_3_3 = e4)
% 16.18/4.31 | (224) all_0_13_13 = e1
% 16.18/4.31 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 16.18/4.31 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 16.18/4.31 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (3058), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (555) all_0_12_12 = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (555) can reduce 44 to:
% 16.18/4.31 | (713) ~ (e3 = e0)
% 16.18/4.31 |
% 16.18/4.31 | Simplifying 713 yields:
% 16.18/4.31 | (64) ~ (e3 = e0)
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (360), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (992) ~ (all_0_17_17 = e4)
% 16.18/4.31 |
% 16.18/4.31 | Equations (688) can reduce 992 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (688) all_0_17_17 = e4
% 16.18/4.31 | (435) all_0_16_16 = e3
% 16.18/4.31 |
% 16.18/4.31 | Combining equations (435,1503) yields a new equation:
% 16.18/4.31 | (1006) e3 = e0
% 16.18/4.31 |
% 16.18/4.31 | Simplifying 1006 yields:
% 16.18/4.31 | (761) e3 = e0
% 16.18/4.31 |
% 16.18/4.31 | Equations (761) can reduce 64 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (1418) ~ (all_0_12_12 = e0)
% 16.18/4.31 | (3092) all_0_12_12 = e4 | all_0_12_12 = e2
% 16.18/4.31 |
% 16.18/4.31 +-Applying beta-rule and splitting (3092), into two cases.
% 16.18/4.31 |-Branch one:
% 16.18/4.31 | (594) all_0_12_12 = e4
% 16.18/4.31 |
% 16.18/4.31 | Equations (594) can reduce 909 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.31 |-Branch two:
% 16.18/4.31 | (909) ~ (all_0_12_12 = e4)
% 16.18/4.31 | (419) all_0_12_12 = e2
% 16.18/4.31 |
% 16.18/4.31 | Equations (419) can reduce 323 to:
% 16.18/4.31 | (247) $false
% 16.18/4.31 |
% 16.18/4.31 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 16.18/4.32 |
% 16.18/4.32 | Applying alpha-rule on (379) yields:
% 16.18/4.32 | (380) all_0_15_15 = e2
% 16.18/4.32 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 16.18/4.32 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 16.18/4.32 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 16.18/4.32 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 16.18/4.32 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 16.18/4.32 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 16.18/4.32 | (387) ~ (unit = e0)
% 16.18/4.32 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 16.18/4.32 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 16.18/4.32 | (390) ~ (all_0_10_10 = e0)
% 16.18/4.32 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 16.18/4.32 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 16.18/4.32 |
% 16.18/4.32 +-Applying beta-rule and splitting (384), into two cases.
% 16.18/4.32 |-Branch one:
% 16.18/4.32 | (770) ~ (all_0_2_2 = e0)
% 16.18/4.32 |
% 16.18/4.32 | Equations (767) can reduce 770 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (767) all_0_2_2 = e0
% 16.18/4.32 | (258) all_0_3_3 = e1
% 16.18/4.32 |
% 16.18/4.32 | Combining equations (258,2586) yields a new equation:
% 16.18/4.32 | (299) e3 = e1
% 16.18/4.32 |
% 16.18/4.32 | Equations (299) can reduce 132 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 16.18/4.32 |
% 16.18/4.32 | Applying alpha-rule on (395) yields:
% 16.18/4.32 | (396) ~ (all_0_1_1 = e1)
% 16.18/4.32 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 16.18/4.32 | (227) ~ (all_0_14_14 = e1)
% 16.18/4.32 | (225) ~ (all_0_4_4 = e1)
% 16.18/4.32 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 16.18/4.32 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 16.18/4.32 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 16.18/4.32 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 16.18/4.32 | (231) ~ (all_0_16_16 = e1)
% 16.18/4.32 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 16.18/4.32 | (286) ~ (all_0_10_10 = e1)
% 16.18/4.32 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 16.18/4.32 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 16.18/4.32 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 16.18/4.32 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 16.18/4.32 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 16.18/4.32 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 16.18/4.32 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 16.18/4.32 | (285) ~ (all_0_9_9 = e1)
% 16.18/4.32 | (229) ~ (all_0_15_15 = e1)
% 16.18/4.32 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 16.18/4.32 |
% 16.18/4.32 | Equations (1503) can reduce 231 to:
% 16.18/4.32 | (541) ~ (e1 = e0)
% 16.18/4.32 |
% 16.18/4.32 | Simplifying 541 yields:
% 16.18/4.32 | (128) ~ (e1 = e0)
% 16.18/4.32 |
% 16.18/4.32 +-Applying beta-rule and splitting (3058), into two cases.
% 16.18/4.32 |-Branch one:
% 16.18/4.32 | (555) all_0_12_12 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (555) can reduce 44 to:
% 16.18/4.32 | (713) ~ (e3 = e0)
% 16.18/4.32 |
% 16.18/4.32 | Simplifying 713 yields:
% 16.18/4.32 | (64) ~ (e3 = e0)
% 16.18/4.32 |
% 16.18/4.32 +-Applying beta-rule and splitting (405), into two cases.
% 16.18/4.32 |-Branch one:
% 16.18/4.32 | (4963) ~ (all_0_20_20 = e1)
% 16.18/4.32 |
% 16.18/4.32 | Equations (1017) can reduce 4963 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (1017) all_0_20_20 = e1
% 16.18/4.32 | (4966) all_0_19_19 = e0 & ~ (unit = e1)
% 16.18/4.32 |
% 16.18/4.32 | Applying alpha-rule on (4966) yields:
% 16.18/4.32 | (922) all_0_19_19 = e0
% 16.18/4.32 | (1438) ~ (unit = e1)
% 16.18/4.32 |
% 16.18/4.32 | Combining equations (922,946) yields a new equation:
% 16.18/4.32 | (761) e3 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (761) can reduce 64 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (1418) ~ (all_0_12_12 = e0)
% 16.18/4.32 | (3092) all_0_12_12 = e4 | all_0_12_12 = e2
% 16.18/4.32 |
% 16.18/4.32 +-Applying beta-rule and splitting (546), into two cases.
% 16.18/4.32 |-Branch one:
% 16.18/4.32 | (547) all_0_10_10 = e0
% 16.18/4.32 |
% 16.18/4.32 | Combining equations (303,547) yields a new equation:
% 16.18/4.32 | (779) e2 = e0
% 16.18/4.32 |
% 16.18/4.32 | Simplifying 779 yields:
% 16.18/4.32 | (552) e2 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (552) can reduce 47 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (390) ~ (all_0_10_10 = e0)
% 16.18/4.32 | (550) all_0_11_11 = e0 | all_0_12_12 = e0
% 16.18/4.32 |
% 16.18/4.32 +-Applying beta-rule and splitting (550), into two cases.
% 16.18/4.32 |-Branch one:
% 16.18/4.32 | (551) all_0_11_11 = e0
% 16.18/4.32 |
% 16.18/4.32 | Combining equations (1794,551) yields a new equation:
% 16.18/4.32 | (245) e1 = e0
% 16.18/4.32 |
% 16.18/4.32 | Simplifying 245 yields:
% 16.18/4.32 | (246) e1 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (246) can reduce 128 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (554) ~ (all_0_11_11 = e0)
% 16.18/4.32 | (555) all_0_12_12 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (555) can reduce 1418 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (577) ~ (all_0_9_9 = e4)
% 16.18/4.32 | (1500) all_0_16_16 = e4
% 16.18/4.32 |
% 16.18/4.32 | Combining equations (1503,1500) yields a new equation:
% 16.18/4.32 | (911) e4 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (911) can reduce 7 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (789) ~ (all_0_3_3 = e3)
% 16.18/4.32 | (800) all_0_3_3 = e4
% 16.18/4.32 |
% 16.18/4.32 | Equations (800) can reduce 356 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (770) ~ (all_0_2_2 = e0)
% 16.18/4.32 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 16.18/4.32 |
% 16.18/4.32 +-Applying beta-rule and splitting (914), into two cases.
% 16.18/4.32 |-Branch one:
% 16.18/4.32 | (767) all_0_2_2 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (767) can reduce 770 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (770) ~ (all_0_2_2 = e0)
% 16.18/4.32 | (919) all_0_3_3 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (919) can reduce 115 to:
% 16.18/4.32 | (770) ~ (all_0_2_2 = e0)
% 16.18/4.32 |
% 16.18/4.32 +-Applying beta-rule and splitting (1374), into two cases.
% 16.18/4.32 |-Branch one:
% 16.18/4.32 | (767) all_0_2_2 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (767) can reduce 770 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (770) ~ (all_0_2_2 = e0)
% 16.18/4.32 | (755) all_0_2_2 = e3
% 16.18/4.32 |
% 16.18/4.32 | Equations (755) can reduce 925 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (436) ~ (all_0_4_4 = e3)
% 16.18/4.32 | (2404) all_0_13_13 = e3 | all_0_16_16 = e3
% 16.18/4.32 |
% 16.18/4.32 +-Applying beta-rule and splitting (203), into two cases.
% 16.18/4.32 |-Branch one:
% 16.18/4.32 | (543) all_0_9_9 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (543) can reduce 538 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (538) ~ (all_0_9_9 = e0)
% 16.18/4.32 | (546) all_0_10_10 = e0 | all_0_11_11 = e0 | all_0_12_12 = e0
% 16.18/4.32 |
% 16.18/4.32 +-Applying beta-rule and splitting (292), into two cases.
% 16.18/4.32 |-Branch one:
% 16.18/4.32 | (543) all_0_9_9 = e0
% 16.18/4.32 |
% 16.18/4.32 | Equations (543) can reduce 538 to:
% 16.18/4.32 | (247) $false
% 16.18/4.32 |
% 16.18/4.32 |-The branch is then unsatisfiable
% 16.18/4.32 |-Branch two:
% 16.18/4.32 | (538) ~ (all_0_9_9 = e0)
% 16.18/4.32 | (602) all_0_9_9 = e4
% 16.18/4.32 |
% 16.18/4.32 | Equations (602) can reduce 183 to:
% 16.18/4.32 | (4768) ~ (all_0_12_12 = e4)
% 16.18/4.32 |
% 16.18/4.32 | Simplifying 4768 yields:
% 16.18/4.32 | (909) ~ (all_0_12_12 = e4)
% 16.18/4.32 |
% 16.32/4.32 +-Applying beta-rule and splitting (166), into two cases.
% 16.32/4.32 |-Branch one:
% 16.32/4.32 | (282) all_0_12_12 = e1
% 16.32/4.32 |
% 16.32/4.32 | Equations (282) can reduce 1012 to:
% 16.32/4.32 | (247) $false
% 16.32/4.32 |
% 16.32/4.32 |-The branch is then unsatisfiable
% 16.32/4.32 |-Branch two:
% 16.32/4.32 | (1012) ~ (all_0_12_12 = e1)
% 16.32/4.32 | (3058) all_0_12_12 = e4 | all_0_12_12 = e2 | all_0_12_12 = e0
% 16.32/4.32 |
% 16.32/4.32 +-Applying beta-rule and splitting (3058), into two cases.
% 16.32/4.32 |-Branch one:
% 16.32/4.32 | (555) all_0_12_12 = e0
% 16.32/4.32 |
% 16.32/4.32 | Equations (555) can reduce 84 to:
% 16.32/4.32 | (250) ~ (all_0_3_3 = e0)
% 16.32/4.32 |
% 16.32/4.32 +-Applying beta-rule and splitting (83), into two cases.
% 16.32/4.32 |-Branch one:
% 16.32/4.32 | (258) all_0_3_3 = e1
% 16.32/4.32 |
% 16.32/4.32 | Equations (258) can reduce 218 to:
% 16.32/4.32 | (247) $false
% 16.32/4.32 |
% 16.32/4.32 |-The branch is then unsatisfiable
% 16.32/4.32 |-Branch two:
% 16.32/4.32 | (218) ~ (all_0_3_3 = e1)
% 16.32/4.32 | (2440) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 16.32/4.32 |
% 16.32/4.32 +-Applying beta-rule and splitting (162), into two cases.
% 16.32/4.32 |-Branch one:
% 16.32/4.32 | (767) all_0_2_2 = e0
% 16.32/4.32 |
% 16.32/4.32 | Equations (767) can reduce 115 to:
% 16.32/4.32 | (2548) ~ (all_0_3_3 = e0)
% 16.32/4.32 |
% 16.32/4.32 | Simplifying 2548 yields:
% 16.32/4.32 | (250) ~ (all_0_3_3 = e0)
% 16.32/4.32 |
% 16.32/4.32 | Equations (767) can reduce 925 to:
% 16.32/4.32 | (713) ~ (e3 = e0)
% 16.32/4.32 |
% 16.32/4.32 | Simplifying 713 yields:
% 16.32/4.32 | (64) ~ (e3 = e0)
% 16.32/4.32 |
% 16.32/4.32 +-Applying beta-rule and splitting (3250), into two cases.
% 16.32/4.32 |-Branch one:
% 16.32/4.32 | (755) all_0_2_2 = e3
% 16.32/4.32 |
% 16.32/4.32 | Combining equations (767,755) yields a new equation:
% 16.32/4.32 | (761) e3 = e0
% 16.32/4.32 |
% 16.32/4.32 | Equations (761) can reduce 64 to:
% 16.32/4.32 | (247) $false
% 16.32/4.32 |
% 16.32/4.32 |-The branch is then unsatisfiable
% 16.32/4.32 |-Branch two:
% 16.32/4.32 | (925) ~ (all_0_2_2 = e3)
% 16.32/4.32 | (2586) all_0_3_3 = e3
% 16.32/4.32 |
% 16.32/4.32 | Equations (2586) can reduce 218 to:
% 16.32/4.32 | (132) ~ (e3 = e1)
% 16.32/4.32 |
% 16.32/4.32 | Equations (2586) can reduce 250 to:
% 16.32/4.32 | (64) ~ (e3 = e0)
% 16.32/4.32 |
% 16.32/4.33 +-Applying beta-rule and splitting (2404), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (298) all_0_13_13 = e3
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (224,298) yields a new equation:
% 16.32/4.33 | (299) e3 = e1
% 16.32/4.33 |
% 16.32/4.33 | Equations (299) can reduce 132 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (301) ~ (all_0_13_13 = e3)
% 16.32/4.33 | (435) all_0_16_16 = e3
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (1503,435) yields a new equation:
% 16.32/4.33 | (761) e3 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (761) can reduce 64 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (770) ~ (all_0_2_2 = e0)
% 16.32/4.33 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (914), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (767) all_0_2_2 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (767) can reduce 770 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (770) ~ (all_0_2_2 = e0)
% 16.32/4.33 | (919) all_0_3_3 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (919) can reduce 250 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (1418) ~ (all_0_12_12 = e0)
% 16.32/4.33 | (3092) all_0_12_12 = e4 | all_0_12_12 = e2
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (3092), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (594) all_0_12_12 = e4
% 16.32/4.33 |
% 16.32/4.33 | Equations (594) can reduce 909 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (909) ~ (all_0_12_12 = e4)
% 16.32/4.33 | (419) all_0_12_12 = e2
% 16.32/4.33 |
% 16.32/4.33 | Equations (419) can reduce 323 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (1405) ~ (all_0_16_16 = e0)
% 16.32/4.33 | (3460) all_0_17_17 = e0 | all_0_19_19 = e0 | all_0_20_20 = e0
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (87), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (572) all_0_4_4 = e3
% 16.32/4.33 |
% 16.32/4.33 | Equations (572) can reduce 6 to:
% 16.32/4.33 | (5063) ~ (all_0_9_9 = e3)
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 5063 yields:
% 16.32/4.33 | (142) ~ (all_0_9_9 = e3)
% 16.32/4.33 |
% 16.32/4.33 | Equations (572) can reduce 558 to:
% 16.32/4.33 | (64) ~ (e3 = e0)
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (162), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (767) all_0_2_2 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (767) can reduce 82 to:
% 16.32/4.33 | (796) ~ (e4 = e0)
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 796 yields:
% 16.32/4.33 | (7) ~ (e4 = e0)
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (563), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (543) all_0_9_9 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (543) can reduce 183 to:
% 16.32/4.33 | (1417) ~ (all_0_12_12 = e0)
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 1417 yields:
% 16.32/4.33 | (1418) ~ (all_0_12_12 = e0)
% 16.32/4.33 |
% 16.32/4.33 | Equations (543) can reduce 142 to:
% 16.32/4.33 | (713) ~ (e3 = e0)
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 713 yields:
% 16.32/4.33 | (64) ~ (e3 = e0)
% 16.32/4.33 |
% 16.32/4.33 | Equations (543) can reduce 285 to:
% 16.32/4.33 | (541) ~ (e1 = e0)
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 541 yields:
% 16.32/4.33 | (128) ~ (e1 = e0)
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (170), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (602) all_0_9_9 = e4
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (543,602) yields a new equation:
% 16.32/4.33 | (911) e4 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (911) can reduce 7 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (577) ~ (all_0_9_9 = e4)
% 16.32/4.33 | (957) all_0_10_10 = e4 | all_0_12_12 = e4
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (957), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (589) all_0_10_10 = e4
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (303,589) yields a new equation:
% 16.32/4.33 | (471) e4 = e2
% 16.32/4.33 |
% 16.32/4.33 | Equations (471) can reduce 194 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (355) ~ (all_0_10_10 = e4)
% 16.32/4.33 | (594) all_0_12_12 = e4
% 16.32/4.33 |
% 16.32/4.33 | Equations (594) can reduce 1418 to:
% 16.32/4.33 | (7) ~ (e4 = e0)
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (3460), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (680) all_0_17_17 = e0
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (680,688) yields a new equation:
% 16.32/4.33 | (911) e4 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (911) can reduce 7 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (252) ~ (all_0_17_17 = e0)
% 16.32/4.33 | (3527) all_0_19_19 = e0 | all_0_20_20 = e0
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (3527), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (922) all_0_19_19 = e0
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (946,922) yields a new equation:
% 16.32/4.33 | (1006) e3 = e0
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 1006 yields:
% 16.32/4.33 | (761) e3 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (761) can reduce 64 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (253) ~ (all_0_19_19 = e0)
% 16.32/4.33 | (249) all_0_20_20 = e0
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (249,1017) yields a new equation:
% 16.32/4.33 | (246) e1 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (246) can reduce 128 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (538) ~ (all_0_9_9 = e0)
% 16.32/4.33 | (1503) all_0_16_16 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (1503) can reduce 1405 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (770) ~ (all_0_2_2 = e0)
% 16.32/4.33 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (771), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (778) all_0_7_7 = e0
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (634,778) yields a new equation:
% 16.32/4.33 | (779) e2 = e0
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 779 yields:
% 16.32/4.33 | (552) e2 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (552) can reduce 47 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (710) ~ (all_0_7_7 = e0)
% 16.32/4.33 | (783) all_0_11_11 = e0 | all_0_19_19 = e0
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (783), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (551) all_0_11_11 = e0
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (1794,551) yields a new equation:
% 16.32/4.33 | (245) e1 = e0
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 245 yields:
% 16.32/4.33 | (246) e1 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (246) can reduce 128 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (554) ~ (all_0_11_11 = e0)
% 16.32/4.33 | (922) all_0_19_19 = e0
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (946,922) yields a new equation:
% 16.32/4.33 | (1006) e3 = e0
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 1006 yields:
% 16.32/4.33 | (761) e3 = e0
% 16.32/4.33 |
% 16.32/4.33 | Equations (761) can reduce 64 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (436) ~ (all_0_4_4 = e3)
% 16.32/4.33 | (2404) all_0_13_13 = e3 | all_0_16_16 = e3
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (2404), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (298) all_0_13_13 = e3
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (224,298) yields a new equation:
% 16.32/4.33 | (299) e3 = e1
% 16.32/4.33 |
% 16.32/4.33 | Equations (299) can reduce 132 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (301) ~ (all_0_13_13 = e3)
% 16.32/4.33 | (435) all_0_16_16 = e3
% 16.32/4.33 |
% 16.32/4.33 | Equations (435) can reduce 995 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (313) ~ (all_0_14_14 = e3)
% 16.32/4.33 | (314) all_0_15_15 = e3
% 16.32/4.33 |
% 16.32/4.33 | Combining equations (314,380) yields a new equation:
% 16.32/4.33 | (657) e3 = e2
% 16.32/4.33 |
% 16.32/4.33 | Simplifying 657 yields:
% 16.32/4.33 | (311) e3 = e2
% 16.32/4.33 |
% 16.32/4.33 | Equations (311) can reduce 191 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (1075) ~ (all_0_11_11 = e1)
% 16.32/4.33 | (282) all_0_12_12 = e1
% 16.32/4.33 |
% 16.32/4.33 | Equations (282) can reduce 1012 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (214) ~ (all_0_0_0 = e1)
% 16.32/4.33 | (1064) all_0_5_5 = e1 | all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_17_17 = e1
% 16.32/4.33 |
% 16.32/4.33 +-Applying beta-rule and splitting (155), into two cases.
% 16.32/4.33 |-Branch one:
% 16.32/4.33 | (692) all_0_0_0 = e1
% 16.32/4.33 |
% 16.32/4.33 | Equations (692) can reduce 214 to:
% 16.32/4.33 | (247) $false
% 16.32/4.33 |
% 16.32/4.33 |-The branch is then unsatisfiable
% 16.32/4.33 |-Branch two:
% 16.32/4.33 | (214) ~ (all_0_0_0 = e1)
% 16.32/4.33 | (2462) all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1
% 16.36/4.33 |
% 16.36/4.33 +-Applying beta-rule and splitting (182), into two cases.
% 16.36/4.33 |-Branch one:
% 16.36/4.33 | (289) all_0_9_9 = e1
% 16.36/4.33 |
% 16.36/4.33 | Equations (289) can reduce 285 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (285) ~ (all_0_9_9 = e1)
% 16.36/4.33 | (1977) all_0_10_10 = e1 | all_0_11_11 = e1 | all_0_12_12 = e1
% 16.36/4.33 |
% 16.36/4.33 +-Applying beta-rule and splitting (1977), into two cases.
% 16.36/4.33 |-Branch one:
% 16.36/4.33 | (581) all_0_10_10 = e1
% 16.36/4.33 |
% 16.36/4.33 | Combining equations (303,581) yields a new equation:
% 16.36/4.33 | (629) e2 = e1
% 16.36/4.33 |
% 16.36/4.33 | Simplifying 629 yields:
% 16.36/4.33 | (420) e2 = e1
% 16.36/4.33 |
% 16.36/4.33 | Equations (420) can reduce 138 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (286) ~ (all_0_10_10 = e1)
% 16.36/4.33 | (1981) all_0_11_11 = e1 | all_0_12_12 = e1
% 16.36/4.33 |
% 16.36/4.33 +-Applying beta-rule and splitting (1981), into two cases.
% 16.36/4.33 |-Branch one:
% 16.36/4.33 | (1794) all_0_11_11 = e1
% 16.36/4.33 |
% 16.36/4.33 | Equations (1794) can reduce 48 to:
% 16.36/4.33 | (216) ~ (all_0_2_2 = e1)
% 16.36/4.33 |
% 16.36/4.33 | Equations (1794) can reduce 34 to:
% 16.36/4.33 | (279) ~ (e4 = e1)
% 16.36/4.33 |
% 16.36/4.33 | Simplifying 279 yields:
% 16.36/4.33 | (210) ~ (e4 = e1)
% 16.36/4.33 |
% 16.36/4.33 +-Applying beta-rule and splitting (49), into two cases.
% 16.36/4.33 |-Branch one:
% 16.36/4.33 | (1371) all_0_2_2 = e1
% 16.36/4.33 |
% 16.36/4.33 | Equations (1371) can reduce 216 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (216) ~ (all_0_2_2 = e1)
% 16.36/4.33 | (1374) all_0_2_2 = e3 | all_0_2_2 = e0
% 16.36/4.33 |
% 16.36/4.33 +-Applying beta-rule and splitting (2462), into two cases.
% 16.36/4.33 |-Branch one:
% 16.36/4.33 | (213) all_0_1_1 = e1
% 16.36/4.33 |
% 16.36/4.33 | Combining equations (213,330) yields a new equation:
% 16.36/4.33 | (332) e4 = e1
% 16.36/4.33 |
% 16.36/4.33 | Equations (332) can reduce 210 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (396) ~ (all_0_1_1 = e1)
% 16.36/4.33 | (2467) all_0_2_2 = e1 | all_0_3_3 = e1
% 16.36/4.33 |
% 16.36/4.33 +-Applying beta-rule and splitting (2467), into two cases.
% 16.36/4.33 |-Branch one:
% 16.36/4.33 | (1371) all_0_2_2 = e1
% 16.36/4.33 |
% 16.36/4.33 | Equations (1371) can reduce 216 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (216) ~ (all_0_2_2 = e1)
% 16.36/4.33 | (258) all_0_3_3 = e1
% 16.36/4.33 |
% 16.36/4.33 | Equations (258) can reduce 218 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (1075) ~ (all_0_11_11 = e1)
% 16.36/4.33 | (282) all_0_12_12 = e1
% 16.36/4.33 |
% 16.36/4.33 | Equations (282) can reduce 1012 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (294) ~ (all_0_10_10 = e2)
% 16.36/4.33 | (306) all_0_11_11 = e2 | all_0_12_12 = e2
% 16.36/4.33 |
% 16.36/4.33 +-Applying beta-rule and splitting (306), into two cases.
% 16.36/4.33 |-Branch one:
% 16.36/4.33 | (307) all_0_11_11 = e2
% 16.36/4.33 |
% 16.36/4.33 | Equations (307) can reduce 322 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (322) ~ (all_0_11_11 = e2)
% 16.36/4.33 | (419) all_0_12_12 = e2
% 16.36/4.33 |
% 16.36/4.33 | Equations (419) can reduce 323 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (444) ~ (all_0_7_7 = e2)
% 16.36/4.33 | (954) all_0_8_8 = e2
% 16.36/4.33 |
% 16.36/4.33 | Equations (954) can reduce 320 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.33 |-Branch two:
% 16.36/4.33 | (220) ~ (all_0_6_6 = e1)
% 16.36/4.33 | (270) all_0_18_18 = e1
% 16.36/4.33 |
% 16.36/4.33 | Equations (270) can reduce 222 to:
% 16.36/4.33 | (247) $false
% 16.36/4.33 |
% 16.36/4.33 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (248) ~ (all_0_5_5 = e0)
% 16.36/4.34 | (249) all_0_20_20 = e0
% 16.36/4.34 |
% 16.36/4.34 | Combining equations (249,1017) yields a new equation:
% 16.36/4.34 | (246) e1 = e0
% 16.36/4.34 |
% 16.36/4.34 | Equations (246) can reduce 128 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (1568) ~ (all_0_13_13 = e1)
% 16.36/4.34 | (298) all_0_13_13 = e3
% 16.36/4.34 |
% 16.36/4.34 | Equations (298) can reduce 156 to:
% 16.36/4.34 | (1572) ~ (all_0_14_14 = e3)
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 1572 yields:
% 16.36/4.34 | (313) ~ (all_0_14_14 = e3)
% 16.36/4.34 |
% 16.36/4.34 | Equations (298) can reduce 136 to:
% 16.36/4.34 | (5194) ~ (all_0_15_15 = e3)
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 5194 yields:
% 16.36/4.34 | (340) ~ (all_0_15_15 = e3)
% 16.36/4.34 |
% 16.36/4.34 | Equations (298) can reduce 1568 to:
% 16.36/4.34 | (132) ~ (e3 = e1)
% 16.36/4.34 |
% 16.36/4.34 | From (298) and (2) follows:
% 16.36/4.34 | (1577) op(e1, e4) = e3
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (150), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (233) all_0_5_5 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (233) can reduce 133 to:
% 16.36/4.34 | (219) ~ (all_0_6_6 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 219 yields:
% 16.36/4.34 | (220) ~ (all_0_6_6 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Equations (233) can reduce 158 to:
% 16.36/4.34 | (226) ~ (all_0_14_14 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 226 yields:
% 16.36/4.34 | (227) ~ (all_0_14_14 = e1)
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (91), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (426) all_0_14_14 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (426) can reduce 227 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (227) ~ (all_0_14_14 = e1)
% 16.36/4.34 | (429) all_0_14_14 = e3 | all_0_14_14 = e2
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (106), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (213) all_0_1_1 = e1
% 16.36/4.34 |
% 16.36/4.34 | Combining equations (213,330) yields a new equation:
% 16.36/4.34 | (332) e4 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (332) can reduce 210 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (396) ~ (all_0_1_1 = e1)
% 16.36/4.34 | (2105) all_0_6_6 = e1 | all_0_18_18 = e1
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (429), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (310) all_0_14_14 = e3
% 16.36/4.34 |
% 16.36/4.34 | Equations (310) can reduce 313 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (313) ~ (all_0_14_14 = e3)
% 16.36/4.34 | (293) all_0_14_14 = e2
% 16.36/4.34 |
% 16.36/4.34 | Equations (293) can reduce 184 to:
% 16.36/4.34 | (295) ~ (all_0_15_15 = e2)
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 295 yields:
% 16.36/4.34 | (296) ~ (all_0_15_15 = e2)
% 16.36/4.34 |
% 16.36/4.34 | Equations (293) can reduce 227 to:
% 16.36/4.34 | (138) ~ (e2 = e1)
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (157), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (1014) all_0_15_15 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (1014) can reduce 296 to:
% 16.36/4.34 | (2057) ~ (e2 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 2057 yields:
% 16.36/4.34 | (138) ~ (e2 = e1)
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (81), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (370) all_0_6_6 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (370) can reduce 220 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (220) ~ (all_0_6_6 = e1)
% 16.36/4.34 | (373) all_0_6_6 = e4 | all_0_6_6 = e2
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (2105), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (370) all_0_6_6 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (370) can reduce 220 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (220) ~ (all_0_6_6 = e1)
% 16.36/4.34 | (270) all_0_18_18 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (270) can reduce 145 to:
% 16.36/4.34 | (287) ~ (e3 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 287 yields:
% 16.36/4.34 | (132) ~ (e3 = e1)
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (3), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (316), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (317), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (318), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Applying alpha-rule on (319) yields:
% 16.36/4.34 | (320) ~ (all_0_8_8 = e2)
% 16.36/4.34 | (321) ~ (all_0_5_5 = e2)
% 16.36/4.34 | (322) ~ (all_0_11_11 = e2)
% 16.36/4.34 | (323) ~ (all_0_12_12 = e2)
% 16.36/4.34 | (324) ~ (all_0_20_20 = e2)
% 16.36/4.34 | (325) ~ (unit = e2)
% 16.36/4.34 | (326) ~ (all_0_14_14 = e2)
% 16.36/4.34 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 16.36/4.34 | (328) ~ (all_0_17_17 = e2)
% 16.36/4.34 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 16.36/4.34 | (330) all_0_1_1 = e4
% 16.36/4.34 |
% 16.36/4.34 | Equations (293) can reduce 326 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 16.36/4.34 |
% 16.36/4.34 | Applying alpha-rule on (334) yields:
% 16.36/4.34 | (301) ~ (all_0_13_13 = e3)
% 16.36/4.34 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 16.36/4.34 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 16.36/4.34 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 16.36/4.34 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 16.36/4.34 | (340) ~ (all_0_15_15 = e3)
% 16.36/4.34 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 16.36/4.34 | (303) all_0_10_10 = e2
% 16.36/4.34 | (343) ~ (unit = e3)
% 16.36/4.34 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 16.36/4.34 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 16.36/4.34 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 16.36/4.34 |
% 16.36/4.34 | Equations (298) can reduce 301 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 16.36/4.34 |
% 16.36/4.34 | Applying alpha-rule on (348) yields:
% 16.36/4.34 | (349) ~ (unit = e4)
% 16.36/4.34 | (350) ~ (all_0_6_6 = e4)
% 16.36/4.34 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 16.36/4.34 | (352) ~ (all_0_18_18 = e4)
% 16.36/4.34 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 16.36/4.34 | (354) ~ (all_0_0_0 = e4)
% 16.36/4.34 | (355) ~ (all_0_10_10 = e4)
% 16.36/4.34 | (356) ~ (all_0_3_3 = e4)
% 16.36/4.34 | (224) all_0_13_13 = e1
% 16.36/4.34 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 16.36/4.34 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 16.36/4.34 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 16.36/4.34 |
% 16.36/4.34 | Combining equations (298,224) yields a new equation:
% 16.36/4.34 | (773) e3 = e1
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 773 yields:
% 16.36/4.34 | (299) e3 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (299) can reduce 132 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Applying alpha-rule on (379) yields:
% 16.36/4.34 | (380) all_0_15_15 = e2
% 16.36/4.34 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 16.36/4.34 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 16.36/4.34 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 16.36/4.34 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 16.36/4.34 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 16.36/4.34 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 16.36/4.34 | (387) ~ (unit = e0)
% 16.36/4.34 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 16.36/4.34 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 16.36/4.34 | (390) ~ (all_0_10_10 = e0)
% 16.36/4.34 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 16.36/4.34 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 16.36/4.34 |
% 16.36/4.34 | Combining equations (380,1014) yields a new equation:
% 16.36/4.34 | (629) e2 = e1
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 629 yields:
% 16.36/4.34 | (420) e2 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (420) can reduce 138 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 16.36/4.34 |
% 16.36/4.34 | Applying alpha-rule on (395) yields:
% 16.36/4.34 | (396) ~ (all_0_1_1 = e1)
% 16.36/4.34 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 16.36/4.34 | (227) ~ (all_0_14_14 = e1)
% 16.36/4.34 | (225) ~ (all_0_4_4 = e1)
% 16.36/4.34 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 16.36/4.34 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 16.36/4.34 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 16.36/4.34 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 16.36/4.34 | (231) ~ (all_0_16_16 = e1)
% 16.36/4.34 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 16.36/4.34 | (286) ~ (all_0_10_10 = e1)
% 16.36/4.34 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 16.36/4.34 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 16.36/4.34 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 16.36/4.34 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 16.36/4.34 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 16.36/4.34 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 16.36/4.34 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 16.36/4.34 | (285) ~ (all_0_9_9 = e1)
% 16.36/4.34 | (229) ~ (all_0_15_15 = e1)
% 16.36/4.34 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 16.36/4.34 |
% 16.36/4.34 | Equations (1014) can reduce 229 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (229) ~ (all_0_15_15 = e1)
% 16.36/4.34 | (1090) all_0_15_15 = e3 | all_0_15_15 = e2
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (195), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (224) all_0_13_13 = e1
% 16.36/4.34 |
% 16.36/4.34 | Combining equations (298,224) yields a new equation:
% 16.36/4.34 | (773) e3 = e1
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 773 yields:
% 16.36/4.34 | (299) e3 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (299) can reduce 132 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (1568) ~ (all_0_13_13 = e1)
% 16.36/4.34 | (5325) all_0_14_14 = e1 | all_0_15_15 = e1
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (5325), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (426) all_0_14_14 = e1
% 16.36/4.34 |
% 16.36/4.34 | Combining equations (426,293) yields a new equation:
% 16.36/4.34 | (420) e2 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (420) can reduce 138 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (227) ~ (all_0_14_14 = e1)
% 16.36/4.34 | (1014) all_0_15_15 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (1014) can reduce 229 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (1026) ~ (all_0_5_5 = e1)
% 16.36/4.34 | (1017) all_0_20_20 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (1017) can reduce 72 to:
% 16.36/4.34 | (218) ~ (all_0_3_3 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Equations (1017) can reduce 35 to:
% 16.36/4.34 | (229) ~ (all_0_15_15 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Equations (1017) can reduce 9 to:
% 16.36/4.34 | (231) ~ (all_0_16_16 = e1)
% 16.36/4.34 |
% 16.36/4.34 | Equations (1017) can reduce 92 to:
% 16.36/4.34 | (222) ~ (all_0_18_18 = e1)
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (157), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (1014) all_0_15_15 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (1014) can reduce 229 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (229) ~ (all_0_15_15 = e1)
% 16.36/4.34 | (1090) all_0_15_15 = e3 | all_0_15_15 = e2
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (106), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (213) all_0_1_1 = e1
% 16.36/4.34 |
% 16.36/4.34 | Combining equations (213,330) yields a new equation:
% 16.36/4.34 | (332) e4 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (332) can reduce 210 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (396) ~ (all_0_1_1 = e1)
% 16.36/4.34 | (2105) all_0_6_6 = e1 | all_0_18_18 = e1
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (21), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (244) all_0_5_5 = e0
% 16.36/4.34 |
% 16.36/4.34 | Equations (244) can reduce 51 to:
% 16.36/4.34 | (913) ~ (all_0_0_0 = e0)
% 16.36/4.34 |
% 16.36/4.34 | Equations (244) can reduce 65 to:
% 16.36/4.34 | (558) ~ (all_0_4_4 = e0)
% 16.36/4.34 |
% 16.36/4.34 | Equations (244) can reduce 133 to:
% 16.36/4.34 | (5350) ~ (all_0_6_6 = e0)
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 5350 yields:
% 16.36/4.34 | (193) ~ (all_0_6_6 = e0)
% 16.36/4.34 |
% 16.36/4.34 | Equations (244) can reduce 165 to:
% 16.36/4.34 | (579) ~ (all_0_10_10 = e0)
% 16.36/4.34 |
% 16.36/4.34 | Simplifying 579 yields:
% 16.36/4.34 | (390) ~ (all_0_10_10 = e0)
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (96), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (270) all_0_18_18 = e1
% 16.36/4.34 |
% 16.36/4.34 | Equations (270) can reduce 222 to:
% 16.36/4.34 | (247) $false
% 16.36/4.34 |
% 16.36/4.34 |-The branch is then unsatisfiable
% 16.36/4.34 |-Branch two:
% 16.36/4.34 | (222) ~ (all_0_18_18 = e1)
% 16.36/4.34 | (364) all_0_18_18 = e4 | all_0_18_18 = e2
% 16.36/4.34 |
% 16.36/4.34 +-Applying beta-rule and splitting (1090), into two cases.
% 16.36/4.34 |-Branch one:
% 16.36/4.34 | (314) all_0_15_15 = e3
% 16.36/4.34 |
% 16.36/4.34 | Equations (314) can reduce 340 to:
% 16.36/4.34 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (340) ~ (all_0_15_15 = e3)
% 16.36/4.35 | (380) all_0_15_15 = e2
% 16.36/4.35 |
% 16.36/4.35 | Equations (380) can reduce 184 to:
% 16.36/4.35 | (326) ~ (all_0_14_14 = e2)
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (91), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (426) all_0_14_14 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (426) can reduce 188 to:
% 16.36/4.35 | (214) ~ (all_0_0_0 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (426) can reduce 198 to:
% 16.36/4.35 | (242) ~ (all_0_17_17 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 242 yields:
% 16.36/4.35 | (243) ~ (all_0_17_17 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (426) can reduce 326 to:
% 16.36/4.35 | (2057) ~ (e2 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 2057 yields:
% 16.36/4.35 | (138) ~ (e2 = e1)
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (2105), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (370) all_0_6_6 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (370) can reduce 10 to:
% 16.36/4.35 | (225) ~ (all_0_4_4 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (370) can reduce 350 to:
% 16.36/4.35 | (279) ~ (e4 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 279 yields:
% 16.36/4.35 | (210) ~ (e4 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (370) can reduce 160 to:
% 16.36/4.35 | (287) ~ (e3 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 287 yields:
% 16.36/4.35 | (132) ~ (e3 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (370) can reduce 193 to:
% 16.36/4.35 | (128) ~ (e1 = e0)
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (60), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (377) all_0_6_6 = e2
% 16.36/4.35 |
% 16.36/4.35 | Combining equations (370,377) yields a new equation:
% 16.36/4.35 | (420) e2 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (420) can reduce 138 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (369) ~ (all_0_6_6 = e2)
% 16.36/4.35 | (368) all_0_18_18 = e2
% 16.36/4.35 |
% 16.36/4.35 | Equations (368) can reduce 121 to:
% 16.36/4.35 | (328) ~ (all_0_17_17 = e2)
% 16.36/4.35 |
% 16.36/4.35 | Equations (368) can reduce 207 to:
% 16.36/4.35 | (3314) ~ (all_0_19_19 = e2)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 3314 yields:
% 16.36/4.35 | (2506) ~ (all_0_19_19 = e2)
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (67), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (564) all_0_4_4 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (564) can reduce 225 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (225) ~ (all_0_4_4 = e1)
% 16.36/4.35 | (1940) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_16_16 = e1
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (1940), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (289) all_0_9_9 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (289) can reduce 176 to:
% 16.36/4.35 | (2069) ~ (all_0_10_10 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 2069 yields:
% 16.36/4.35 | (286) ~ (all_0_10_10 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (289) can reduce 107 to:
% 16.36/4.35 | (230) ~ (all_0_16_16 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 230 yields:
% 16.36/4.35 | (231) ~ (all_0_16_16 = e1)
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (14), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (1371) all_0_2_2 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (1371) can reduce 25 to:
% 16.36/4.35 | (214) ~ (all_0_0_0 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (1371) can reduce 115 to:
% 16.36/4.35 | (217) ~ (all_0_3_3 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 217 yields:
% 16.36/4.35 | (218) ~ (all_0_3_3 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (1371) can reduce 48 to:
% 16.36/4.35 | (1074) ~ (all_0_11_11 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 1074 yields:
% 16.36/4.35 | (1075) ~ (all_0_11_11 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (1371) can reduce 82 to:
% 16.36/4.35 | (279) ~ (e4 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 279 yields:
% 16.36/4.35 | (210) ~ (e4 = e1)
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (38), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (692) all_0_0_0 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (692) can reduce 214 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (214) ~ (all_0_0_0 = e1)
% 16.36/4.35 | (695) all_0_0_0 = e4 | all_0_0_0 = e3 | all_0_0_0 = e0
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (52), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (795) all_0_0_0 = e0
% 16.36/4.35 |
% 16.36/4.35 | Equations (795) can reduce 913 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (913) ~ (all_0_0_0 = e0)
% 16.36/4.35 | (914) all_0_2_2 = e0 | all_0_3_3 = e0
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (13), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (536) all_0_4_4 = e0
% 16.36/4.35 |
% 16.36/4.35 | Equations (536) can reduce 558 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (558) ~ (all_0_4_4 = e0)
% 16.36/4.35 | (563) all_0_9_9 = e0 | all_0_16_16 = e0
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (563), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (543) all_0_9_9 = e0
% 16.36/4.35 |
% 16.36/4.35 | Combining equations (289,543) yields a new equation:
% 16.36/4.35 | (245) e1 = e0
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 245 yields:
% 16.36/4.35 | (246) e1 = e0
% 16.36/4.35 |
% 16.36/4.35 | Equations (246) can reduce 128 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (538) ~ (all_0_9_9 = e0)
% 16.36/4.35 | (1503) all_0_16_16 = e0
% 16.36/4.35 |
% 16.36/4.35 | Equations (1503) can reduce 53 to:
% 16.36/4.35 | (1038) ~ (all_0_17_17 = e0)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 1038 yields:
% 16.36/4.35 | (252) ~ (all_0_17_17 = e0)
% 16.36/4.35 |
% 16.36/4.35 | Equations (1503) can reduce 231 to:
% 16.36/4.35 | (541) ~ (e1 = e0)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 541 yields:
% 16.36/4.35 | (128) ~ (e1 = e0)
% 16.36/4.35 |
% 16.36/4.35 | From (1503) and (78) follows:
% 16.36/4.35 | (1458) op(e0, e4) = e0
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (118), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (575) all_0_4_4 = e4
% 16.36/4.35 |
% 16.36/4.35 | From (575) and (4) follows:
% 16.36/4.35 | (1431) op(e3, e4) = e4
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (695), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (795) all_0_0_0 = e0
% 16.36/4.35 |
% 16.36/4.35 | Equations (795) can reduce 913 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (913) ~ (all_0_0_0 = e0)
% 16.36/4.35 | (1167) all_0_0_0 = e4 | all_0_0_0 = e3
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (1167), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (1168) all_0_0_0 = e3
% 16.36/4.35 |
% 16.36/4.35 | Equations (1168) can reduce 61 to:
% 16.36/4.35 | (4381) ~ (all_0_3_3 = e3)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 4381 yields:
% 16.36/4.35 | (789) ~ (all_0_3_3 = e3)
% 16.36/4.35 |
% 16.36/4.35 | Equations (1168) can reduce 80 to:
% 16.36/4.35 | (431) ~ (all_0_17_17 = e3)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 431 yields:
% 16.36/4.35 | (432) ~ (all_0_17_17 = e3)
% 16.36/4.35 |
% 16.36/4.35 | Equations (1168) can reduce 214 to:
% 16.36/4.35 | (132) ~ (e3 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Equations (1168) can reduce 913 to:
% 16.36/4.35 | (64) ~ (e3 = e0)
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (11), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (435) all_0_16_16 = e3
% 16.36/4.35 |
% 16.36/4.35 | Combining equations (1503,435) yields a new equation:
% 16.36/4.35 | (761) e3 = e0
% 16.36/4.35 |
% 16.36/4.35 | Equations (761) can reduce 64 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (995) ~ (all_0_16_16 = e3)
% 16.36/4.35 | (996) all_0_17_17 = e3 | all_0_19_19 = e3 | all_0_20_20 = e3
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (996), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (684) all_0_17_17 = e3
% 16.36/4.35 |
% 16.36/4.35 | Equations (684) can reduce 432 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (432) ~ (all_0_17_17 = e3)
% 16.36/4.35 | (1000) all_0_19_19 = e3 | all_0_20_20 = e3
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (3), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (316) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)) | (all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1))
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (316), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (317) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)) | (all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0))
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (317), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (318) (all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)) | (all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0))
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (318), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (319) all_0_1_1 = e4 & ~ (all_0_5_5 = e2) & ~ (all_0_8_8 = e2) & ~ (all_0_11_11 = e2) & ~ (all_0_12_12 = e2) & ~ (all_0_14_14 = e2) & ~ (all_0_17_17 = e2) & ~ (all_0_20_20 = e2) & ~ (unit = e2) & ( ~ (all_0_7_7 = e2) | all_0_6_6 = e1) & ( ~ (all_0_19_19 = e2) | all_0_18_18 = e1)
% 16.36/4.35 |
% 16.36/4.35 | Applying alpha-rule on (319) yields:
% 16.36/4.35 | (320) ~ (all_0_8_8 = e2)
% 16.36/4.35 | (321) ~ (all_0_5_5 = e2)
% 16.36/4.35 | (322) ~ (all_0_11_11 = e2)
% 16.36/4.35 | (323) ~ (all_0_12_12 = e2)
% 16.36/4.35 | (324) ~ (all_0_20_20 = e2)
% 16.36/4.35 | (325) ~ (unit = e2)
% 16.36/4.35 | (326) ~ (all_0_14_14 = e2)
% 16.36/4.35 | (327) ~ (all_0_19_19 = e2) | all_0_18_18 = e1
% 16.36/4.35 | (328) ~ (all_0_17_17 = e2)
% 16.36/4.35 | (329) ~ (all_0_7_7 = e2) | all_0_6_6 = e1
% 16.36/4.35 | (330) all_0_1_1 = e4
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (124), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (1794) all_0_11_11 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (1794) can reduce 1075 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (1075) ~ (all_0_11_11 = e1)
% 16.36/4.35 | (1933) all_0_11_11 = e2 | all_0_11_11 = e0
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (1000), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (946) all_0_19_19 = e3
% 16.36/4.35 |
% 16.36/4.35 | Equations (946) can reduce 204 to:
% 16.36/4.35 | (432) ~ (all_0_17_17 = e3)
% 16.36/4.35 |
% 16.36/4.35 | Equations (946) can reduce 2506 to:
% 16.36/4.35 | (191) ~ (e3 = e2)
% 16.36/4.35 |
% 16.36/4.35 | From (946) and (126) follows:
% 16.36/4.35 | (4730) op(e0, e1) = e3
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (177), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (262) all_0_17_17 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (262) can reduce 243 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (243) ~ (all_0_17_17 = e1)
% 16.36/4.35 | (679) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e0
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (914), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (767) all_0_2_2 = e0
% 16.36/4.35 |
% 16.36/4.35 | Combining equations (767,1371) yields a new equation:
% 16.36/4.35 | (246) e1 = e0
% 16.36/4.35 |
% 16.36/4.35 | Equations (246) can reduce 128 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (770) ~ (all_0_2_2 = e0)
% 16.36/4.35 | (919) all_0_3_3 = e0
% 16.36/4.35 |
% 16.36/4.35 | Equations (919) can reduce 789 to:
% 16.36/4.35 | (713) ~ (e3 = e0)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 713 yields:
% 16.36/4.35 | (64) ~ (e3 = e0)
% 16.36/4.35 |
% 16.36/4.35 | Equations (919) can reduce 218 to:
% 16.36/4.35 | (541) ~ (e1 = e0)
% 16.36/4.35 |
% 16.36/4.35 | Simplifying 541 yields:
% 16.36/4.35 | (128) ~ (e1 = e0)
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (679), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (680) all_0_17_17 = e0
% 16.36/4.35 |
% 16.36/4.35 | Equations (680) can reduce 252 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (252) ~ (all_0_17_17 = e0)
% 16.36/4.35 | (683) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (683), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (684) all_0_17_17 = e3
% 16.36/4.35 |
% 16.36/4.35 | Equations (684) can reduce 432 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (432) ~ (all_0_17_17 = e3)
% 16.36/4.35 | (687) all_0_17_17 = e4 | all_0_17_17 = e2
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (687), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (688) all_0_17_17 = e4
% 16.36/4.35 |
% 16.36/4.35 | Equations (688) can reduce 122 to:
% 16.36/4.35 | (355) ~ (all_0_10_10 = e4)
% 16.36/4.35 |
% 16.36/4.35 | Equations (688) can reduce 243 to:
% 16.36/4.35 | (210) ~ (e4 = e1)
% 16.36/4.35 |
% 16.36/4.35 | From (688) and (98) follows:
% 16.36/4.35 | (4365) op(e0, e3) = e4
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (170), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (602) all_0_9_9 = e4
% 16.36/4.35 |
% 16.36/4.35 | Combining equations (289,602) yields a new equation:
% 16.36/4.35 | (332) e4 = e1
% 16.36/4.35 |
% 16.36/4.35 | Equations (332) can reduce 210 to:
% 16.36/4.35 | (247) $false
% 16.36/4.35 |
% 16.36/4.35 |-The branch is then unsatisfiable
% 16.36/4.35 |-Branch two:
% 16.36/4.35 | (577) ~ (all_0_9_9 = e4)
% 16.36/4.35 | (957) all_0_10_10 = e4 | all_0_12_12 = e4
% 16.36/4.35 |
% 16.36/4.35 +-Applying beta-rule and splitting (99), into two cases.
% 16.36/4.35 |-Branch one:
% 16.36/4.35 | (634) all_0_7_7 = e2
% 16.36/4.35 |
% 16.36/4.35 | Equations (634) can reduce 23 to:
% 16.36/4.35 | (645) ~ (all_0_11_11 = e2)
% 16.36/4.35 |
% 16.36/4.36 | Simplifying 645 yields:
% 16.36/4.36 | (322) ~ (all_0_11_11 = e2)
% 16.36/4.36 |
% 16.36/4.36 | From (634) and (39) follows:
% 16.36/4.36 | (1861) op(e3, e1) = e2
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (163), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (303) all_0_10_10 = e2
% 16.36/4.36 |
% 16.36/4.36 | Equations (303) can reduce 355 to:
% 16.36/4.36 | (467) ~ (e4 = e2)
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 467 yields:
% 16.36/4.36 | (194) ~ (e4 = e2)
% 16.36/4.36 |
% 16.36/4.36 | Equations (303) can reduce 286 to:
% 16.36/4.36 | (138) ~ (e2 = e1)
% 16.36/4.36 |
% 16.36/4.36 | Equations (303) can reduce 390 to:
% 16.36/4.36 | (47) ~ (e2 = e0)
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (957), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (589) all_0_10_10 = e4
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (303,589) yields a new equation:
% 16.36/4.36 | (471) e4 = e2
% 16.36/4.36 |
% 16.36/4.36 | Equations (471) can reduce 194 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (355) ~ (all_0_10_10 = e4)
% 16.36/4.36 | (594) all_0_12_12 = e4
% 16.36/4.36 |
% 16.36/4.36 | From (594) and (19) follows:
% 16.36/4.36 | (1744) op(e2, e0) = e4
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (162), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (767) all_0_2_2 = e0
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (1371,767) yields a new equation:
% 16.36/4.36 | (245) e1 = e0
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 245 yields:
% 16.36/4.36 | (246) e1 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (246) can reduce 128 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (770) ~ (all_0_2_2 = e0)
% 16.36/4.36 | (771) all_0_7_7 = e0 | all_0_11_11 = e0 | all_0_19_19 = e0
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (771), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (778) all_0_7_7 = e0
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (778,634) yields a new equation:
% 16.36/4.36 | (552) e2 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (552) can reduce 47 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (710) ~ (all_0_7_7 = e0)
% 16.36/4.36 | (783) all_0_11_11 = e0 | all_0_19_19 = e0
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (783), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (551) all_0_11_11 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (551) can reduce 1075 to:
% 16.36/4.36 | (541) ~ (e1 = e0)
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 541 yields:
% 16.36/4.36 | (128) ~ (e1 = e0)
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (59), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (1434) unit = e1
% 16.36/4.36 |
% 16.36/4.36 | From (1434) and (141) follows:
% 16.36/4.36 | (1864) op(e1, e4) = e4
% 16.36/4.36 |
% 16.36/4.36 | From (1434) and (186) follows:
% 16.36/4.36 | (1867) op(e1, e1) = e1
% 16.36/4.36 |
% 16.36/4.36 | From (1434) and (108) follows:
% 16.36/4.36 | (2696) op(e0, e1) = e0
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields:
% 16.36/4.36 | (873) e4 = e3
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields:
% 16.36/4.36 | (332) e4 = e1
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields:
% 16.36/4.36 | (761) e3 = e0
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (873,332) yields a new equation:
% 16.36/4.36 | (773) e3 = e1
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 773 yields:
% 16.36/4.36 | (299) e3 = e1
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (299,761) yields a new equation:
% 16.36/4.36 | (245) e1 = e0
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 245 yields:
% 16.36/4.36 | (246) e1 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (246) can reduce 128 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (1438) ~ (unit = e1)
% 16.36/4.36 | (1439) unit = e4 | unit = e3 | unit = e2 | unit = e0
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (1439), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (1440) unit = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (1440) can reduce 1438 to:
% 16.36/4.36 | (541) ~ (e1 = e0)
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 541 yields:
% 16.36/4.36 | (128) ~ (e1 = e0)
% 16.36/4.36 |
% 16.36/4.36 | From (1440) and (141) follows:
% 16.36/4.36 | (1807) op(e0, e4) = e4
% 16.36/4.36 |
% 16.36/4.36 | From (1440) and (27) follows:
% 16.36/4.36 | (3902) op(e0, e3) = e3
% 16.36/4.36 |
% 16.36/4.36 | From (1440) and (172) follows:
% 16.36/4.36 | (2244) op(e0, e1) = e1
% 16.36/4.36 |
% 16.36/4.36 | From (1440) and (151) follows:
% 16.36/4.36 | (3149) op(e2, e0) = e2
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields:
% 16.36/4.36 | (471) e4 = e2
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e0, e4, e4, e0 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields:
% 16.36/4.36 | (911) e4 = e0
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields:
% 16.36/4.36 | (873) e4 = e3
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields:
% 16.36/4.36 | (299) e3 = e1
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (911,471) yields a new equation:
% 16.36/4.36 | (552) e2 = e0
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (873,471) yields a new equation:
% 16.36/4.36 | (657) e3 = e2
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 657 yields:
% 16.36/4.36 | (311) e3 = e2
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (311,299) yields a new equation:
% 16.36/4.36 | (629) e2 = e1
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 629 yields:
% 16.36/4.36 | (420) e2 = e1
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (420,552) yields a new equation:
% 16.36/4.36 | (245) e1 = e0
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 245 yields:
% 16.36/4.36 | (246) e1 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (246) can reduce 128 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (387) ~ (unit = e0)
% 16.36/4.36 | (1443) unit = e4 | unit = e3 | unit = e2
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (1443), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (1444) unit = e3
% 16.36/4.36 |
% 16.36/4.36 | From (1444) and (172) follows:
% 16.36/4.36 | (5564) op(e3, e1) = e1
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields:
% 16.36/4.36 | (420) e2 = e1
% 16.36/4.36 |
% 16.36/4.36 | Equations (420) can reduce 138 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (343) ~ (unit = e3)
% 16.36/4.36 | (1453) unit = e4 | unit = e2
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (1453), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (1454) unit = e4
% 16.36/4.36 |
% 16.36/4.36 | From (1454) and (199) follows:
% 16.36/4.36 | (1455) op(e4, e2) = e2
% 16.36/4.36 |
% 16.36/4.36 | From (1454) and (159) follows:
% 16.36/4.36 | (1457) op(e3, e4) = e3
% 16.36/4.36 |
% 16.36/4.36 | From (1454) and (186) follows:
% 16.36/4.36 | (5572) op(e1, e4) = e1
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields:
% 16.36/4.36 | (471) e4 = e2
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 16.36/4.36 | (873) e4 = e3
% 16.36/4.36 |
% 16.36/4.36 | Instantiating formula (120) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields:
% 16.36/4.36 | (299) e3 = e1
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (471,873) yields a new equation:
% 16.36/4.36 | (311) e3 = e2
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (311,299) yields a new equation:
% 16.36/4.36 | (629) e2 = e1
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 629 yields:
% 16.36/4.36 | (420) e2 = e1
% 16.36/4.36 |
% 16.36/4.36 | Equations (420) can reduce 138 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (349) ~ (unit = e4)
% 16.36/4.36 | (1470) unit = e2
% 16.36/4.36 |
% 16.36/4.36 | Equations (1470) can reduce 325 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (554) ~ (all_0_11_11 = e0)
% 16.36/4.36 | (922) all_0_19_19 = e0
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (946,922) yields a new equation:
% 16.36/4.36 | (1006) e3 = e0
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 1006 yields:
% 16.36/4.36 | (761) e3 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (761) can reduce 64 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (294) ~ (all_0_10_10 = e2)
% 16.36/4.36 | (306) all_0_11_11 = e2 | all_0_12_12 = e2
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (306), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (307) all_0_11_11 = e2
% 16.36/4.36 |
% 16.36/4.36 | Equations (307) can reduce 322 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (322) ~ (all_0_11_11 = e2)
% 16.36/4.36 | (419) all_0_12_12 = e2
% 16.36/4.36 |
% 16.36/4.36 | Equations (419) can reduce 323 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (444) ~ (all_0_7_7 = e2)
% 16.36/4.36 | (637) all_0_11_11 = e2 | all_0_19_19 = e2
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (1933), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (551) all_0_11_11 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (551) can reduce 322 to:
% 16.36/4.36 | (539) ~ (e2 = e0)
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 539 yields:
% 16.36/4.36 | (47) ~ (e2 = e0)
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (62), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (638) all_0_5_5 = e2
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (244,638) yields a new equation:
% 16.36/4.36 | (552) e2 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (552) can reduce 47 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (321) ~ (all_0_5_5 = e2)
% 16.36/4.36 | (643) all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_17_17 = e2
% 16.36/4.36 |
% 16.36/4.36 | Equations (244) can reduce 321 to:
% 16.36/4.36 | (539) ~ (e2 = e0)
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 539 yields:
% 16.36/4.36 | (47) ~ (e2 = e0)
% 16.36/4.36 |
% 16.36/4.36 +-Applying beta-rule and splitting (637), into two cases.
% 16.36/4.36 |-Branch one:
% 16.36/4.36 | (307) all_0_11_11 = e2
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (551,307) yields a new equation:
% 16.36/4.36 | (552) e2 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (552) can reduce 47 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (322) ~ (all_0_11_11 = e2)
% 16.36/4.36 | (651) all_0_19_19 = e2
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (651,946) yields a new equation:
% 16.36/4.36 | (311) e3 = e2
% 16.36/4.36 |
% 16.36/4.36 | Equations (311) can reduce 191 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (554) ~ (all_0_11_11 = e0)
% 16.36/4.36 | (307) all_0_11_11 = e2
% 16.36/4.36 |
% 16.36/4.36 | Equations (307) can reduce 322 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (992) ~ (all_0_17_17 = e4)
% 16.36/4.36 | (458) all_0_17_17 = e2
% 16.36/4.36 |
% 16.36/4.36 | Equations (458) can reduce 328 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (1004) ~ (all_0_19_19 = e3)
% 16.36/4.36 | (1005) all_0_20_20 = e3
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (1005,1017) yields a new equation:
% 16.36/4.36 | (773) e3 = e1
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 773 yields:
% 16.36/4.36 | (299) e3 = e1
% 16.36/4.36 |
% 16.36/4.36 | Equations (299) can reduce 132 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (334) all_0_10_10 = e2 & ~ (all_0_13_13 = e3) & ~ (all_0_15_15 = e3) & ~ (unit = e3) & ( ~ (all_0_2_2 = e3) | all_0_0_0 = e1) & ( ~ (all_0_3_3 = e3) | all_0_0_0 = e0) & ( ~ (all_0_4_4 = e3) | all_0_5_5 = e4) & ( ~ (all_0_7_7 = e3) | all_0_5_5 = e1) & ( ~ (all_0_8_8 = e3) | all_0_5_5 = e0) & ( ~ (all_0_16_16 = e3) | all_0_17_17 = e4) & ( ~ (all_0_19_19 = e3) | all_0_17_17 = e1) & ( ~ (all_0_20_20 = e3) | all_0_17_17 = e0)
% 16.36/4.36 |
% 16.36/4.36 | Applying alpha-rule on (334) yields:
% 16.36/4.36 | (301) ~ (all_0_13_13 = e3)
% 16.36/4.36 | (336) ~ (all_0_3_3 = e3) | all_0_0_0 = e0
% 16.36/4.36 | (337) ~ (all_0_19_19 = e3) | all_0_17_17 = e1
% 16.36/4.36 | (338) ~ (all_0_16_16 = e3) | all_0_17_17 = e4
% 16.36/4.36 | (339) ~ (all_0_4_4 = e3) | all_0_5_5 = e4
% 16.36/4.36 | (340) ~ (all_0_15_15 = e3)
% 16.36/4.36 | (341) ~ (all_0_20_20 = e3) | all_0_17_17 = e0
% 16.36/4.36 | (303) all_0_10_10 = e2
% 16.36/4.36 | (343) ~ (unit = e3)
% 16.36/4.36 | (344) ~ (all_0_7_7 = e3) | all_0_5_5 = e1
% 16.36/4.36 | (345) ~ (all_0_2_2 = e3) | all_0_0_0 = e1
% 16.36/4.36 | (346) ~ (all_0_8_8 = e3) | all_0_5_5 = e0
% 16.36/4.36 |
% 16.36/4.36 | Equations (298) can reduce 301 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (348) all_0_13_13 = e1 & ~ (all_0_0_0 = e4) & ~ (all_0_3_3 = e4) & ~ (all_0_6_6 = e4) & ~ (all_0_10_10 = e4) & ~ (all_0_18_18 = e4) & ~ (unit = e4) & ( ~ (all_0_5_5 = e4) | all_0_4_4 = e3) & ( ~ (all_0_8_8 = e4) | all_0_4_4 = e0) & ( ~ (all_0_12_12 = e4) | all_0_9_9 = e0) & ( ~ (all_0_17_17 = e4) | all_0_16_16 = e3) & ( ~ (all_0_20_20 = e4) | all_0_16_16 = e0)
% 16.36/4.36 |
% 16.36/4.36 | Applying alpha-rule on (348) yields:
% 16.36/4.36 | (349) ~ (unit = e4)
% 16.36/4.36 | (350) ~ (all_0_6_6 = e4)
% 16.36/4.36 | (351) ~ (all_0_12_12 = e4) | all_0_9_9 = e0
% 16.36/4.36 | (352) ~ (all_0_18_18 = e4)
% 16.36/4.36 | (353) ~ (all_0_20_20 = e4) | all_0_16_16 = e0
% 16.36/4.36 | (354) ~ (all_0_0_0 = e4)
% 16.36/4.36 | (355) ~ (all_0_10_10 = e4)
% 16.36/4.36 | (356) ~ (all_0_3_3 = e4)
% 16.36/4.36 | (224) all_0_13_13 = e1
% 16.36/4.36 | (358) ~ (all_0_5_5 = e4) | all_0_4_4 = e3
% 16.36/4.36 | (359) ~ (all_0_8_8 = e4) | all_0_4_4 = e0
% 16.36/4.36 | (360) ~ (all_0_17_17 = e4) | all_0_16_16 = e3
% 16.36/4.36 |
% 16.36/4.36 | Combining equations (298,224) yields a new equation:
% 16.36/4.36 | (773) e3 = e1
% 16.36/4.36 |
% 16.36/4.36 | Simplifying 773 yields:
% 16.36/4.36 | (299) e3 = e1
% 16.36/4.36 |
% 16.36/4.36 | Equations (299) can reduce 132 to:
% 16.36/4.36 | (247) $false
% 16.36/4.36 |
% 16.36/4.36 |-The branch is then unsatisfiable
% 16.36/4.36 |-Branch two:
% 16.36/4.36 | (379) all_0_15_15 = e2 & ~ (all_0_10_10 = e0) & ~ (unit = e0) & ( ~ (all_0_0_0 = e0) | all_0_3_3 = e3) & ( ~ (all_0_2_2 = e0) | all_0_3_3 = e1) & ( ~ (all_0_4_4 = e0) | all_0_8_8 = e4) & ( ~ (all_0_5_5 = e0) | all_0_8_8 = e3) & ( ~ (all_0_7_7 = e0) | all_0_8_8 = e1) & ( ~ (all_0_9_9 = e0) | all_0_12_12 = e4) & ( ~ (all_0_11_11 = e0) | all_0_12_12 = e1) & ( ~ (all_0_16_16 = e0) | all_0_20_20 = e4) & ( ~ (all_0_17_17 = e0) | all_0_20_20 = e3) & ( ~ (all_0_19_19 = e0) | all_0_20_20 = e1)
% 16.36/4.37 |
% 16.36/4.37 | Applying alpha-rule on (379) yields:
% 16.36/4.37 | (380) all_0_15_15 = e2
% 16.36/4.37 | (381) ~ (all_0_11_11 = e0) | all_0_12_12 = e1
% 16.36/4.37 | (382) ~ (all_0_4_4 = e0) | all_0_8_8 = e4
% 16.36/4.37 | (383) ~ (all_0_17_17 = e0) | all_0_20_20 = e3
% 16.36/4.37 | (384) ~ (all_0_2_2 = e0) | all_0_3_3 = e1
% 16.36/4.37 | (385) ~ (all_0_9_9 = e0) | all_0_12_12 = e4
% 16.36/4.37 | (386) ~ (all_0_7_7 = e0) | all_0_8_8 = e1
% 16.36/4.37 | (387) ~ (unit = e0)
% 16.36/4.37 | (388) ~ (all_0_19_19 = e0) | all_0_20_20 = e1
% 16.36/4.37 | (389) ~ (all_0_0_0 = e0) | all_0_3_3 = e3
% 16.36/4.37 | (390) ~ (all_0_10_10 = e0)
% 16.36/4.37 | (391) ~ (all_0_5_5 = e0) | all_0_8_8 = e3
% 16.36/4.37 | (392) ~ (all_0_16_16 = e0) | all_0_20_20 = e4
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (177), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (262) all_0_17_17 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (262) can reduce 243 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (243) ~ (all_0_17_17 = e1)
% 16.36/4.37 | (679) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e0
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (679), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (680) all_0_17_17 = e0
% 16.36/4.37 |
% 16.36/4.37 | Equations (680) can reduce 252 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (252) ~ (all_0_17_17 = e0)
% 16.36/4.37 | (683) all_0_17_17 = e4 | all_0_17_17 = e3 | all_0_17_17 = e2
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (683), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (684) all_0_17_17 = e3
% 16.36/4.37 |
% 16.36/4.37 | Equations (684) can reduce 432 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (432) ~ (all_0_17_17 = e3)
% 16.36/4.37 | (687) all_0_17_17 = e4 | all_0_17_17 = e2
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (687), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (688) all_0_17_17 = e4
% 16.36/4.37 |
% 16.36/4.37 | Equations (688) can reduce 243 to:
% 16.36/4.37 | (210) ~ (e4 = e1)
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (392), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (1405) ~ (all_0_16_16 = e0)
% 16.36/4.37 |
% 16.36/4.37 | Equations (1503) can reduce 1405 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (1503) all_0_16_16 = e0
% 16.36/4.37 | (910) all_0_20_20 = e4
% 16.36/4.37 |
% 16.36/4.37 | Combining equations (1017,910) yields a new equation:
% 16.36/4.37 | (332) e4 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (332) can reduce 210 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (992) ~ (all_0_17_17 = e4)
% 16.36/4.37 | (458) all_0_17_17 = e2
% 16.36/4.37 |
% 16.36/4.37 | Equations (458) can reduce 328 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (395) ~ (all_0_1_1 = e1) & ~ (all_0_4_4 = e1) & ~ (all_0_9_9 = e1) & ~ (all_0_10_10 = e1) & ~ (all_0_14_14 = e1) & ~ (all_0_15_15 = e1) & ~ (all_0_16_16 = e1) & ( ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))) & ( ~ (all_0_2_2 = e1) | ~ (unit = e1)) & ( ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))) & ( ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))) & ( ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))) & ( ~ (all_0_7_7 = e1) | ~ (unit = e1)) & ( ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))) & ( ~ (all_0_11_11 = e1) | ~ (unit = e1)) & ( ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))) & ( ~ (all_0_13_13 = e1) | ~ (unit = e1)) & ( ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))) & ( ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))) & ( ~ (all_0_19_19 = e1) | ~ (unit = e1)) & ( ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1)))
% 16.36/4.37 |
% 16.36/4.37 | Applying alpha-rule on (395) yields:
% 16.36/4.37 | (396) ~ (all_0_1_1 = e1)
% 16.36/4.37 | (397) ~ (all_0_7_7 = e1) | ~ (unit = e1)
% 16.36/4.37 | (227) ~ (all_0_14_14 = e1)
% 16.36/4.37 | (225) ~ (all_0_4_4 = e1)
% 16.36/4.37 | (400) ~ (all_0_3_3 = e1) | (all_0_2_2 = e0 & ~ (unit = e1))
% 16.36/4.37 | (401) ~ (all_0_11_11 = e1) | ~ (unit = e1)
% 16.36/4.37 | (402) ~ (all_0_8_8 = e1) | (all_0_7_7 = e0 & ~ (unit = e1))
% 16.36/4.37 | (403) ~ (all_0_5_5 = e1) | (all_0_7_7 = e3 & ~ (unit = e1))
% 16.36/4.37 | (231) ~ (all_0_16_16 = e1)
% 16.36/4.37 | (405) ~ (all_0_20_20 = e1) | (all_0_19_19 = e0 & ~ (unit = e1))
% 16.36/4.37 | (286) ~ (all_0_10_10 = e1)
% 16.36/4.37 | (407) ~ (all_0_13_13 = e1) | ~ (unit = e1)
% 16.36/4.37 | (408) ~ (all_0_6_6 = e1) | (all_0_7_7 = e2 & ~ (unit = e1))
% 16.36/4.37 | (409) ~ (all_0_19_19 = e1) | ~ (unit = e1)
% 16.36/4.37 | (410) ~ (all_0_2_2 = e1) | ~ (unit = e1)
% 16.36/4.37 | (411) ~ (all_0_12_12 = e1) | (all_0_11_11 = e0 & ~ (unit = e1))
% 16.36/4.37 | (412) ~ (all_0_18_18 = e1) | (all_0_19_19 = e2 & ~ (unit = e1))
% 16.36/4.37 | (413) ~ (all_0_17_17 = e1) | (all_0_19_19 = e3 & ~ (unit = e1))
% 16.36/4.37 | (285) ~ (all_0_9_9 = e1)
% 16.36/4.37 | (229) ~ (all_0_15_15 = e1)
% 16.36/4.37 | (416) ~ (all_0_0_0 = e1) | (all_0_2_2 = e3 & ~ (unit = e1))
% 16.36/4.37 |
% 16.36/4.37 | Equations (426) can reduce 227 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (1188) ~ (all_0_0_0 = e3)
% 16.36/4.37 | (927) all_0_0_0 = e4
% 16.36/4.37 |
% 16.36/4.37 | Equations (927) can reduce 354 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (697) ~ (all_0_4_4 = e4)
% 16.36/4.37 | (1494) all_0_9_9 = e4 | all_0_16_16 = e4
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (1494), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (602) all_0_9_9 = e4
% 16.36/4.37 |
% 16.36/4.37 | Combining equations (602,289) yields a new equation:
% 16.36/4.37 | (331) e4 = e1
% 16.36/4.37 |
% 16.36/4.37 | Simplifying 331 yields:
% 16.36/4.37 | (332) e4 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (332) can reduce 210 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (577) ~ (all_0_9_9 = e4)
% 16.36/4.37 | (1500) all_0_16_16 = e4
% 16.36/4.37 |
% 16.36/4.37 | Combining equations (1500,1503) yields a new equation:
% 16.36/4.37 | (1496) e4 = e0
% 16.36/4.37 |
% 16.36/4.37 | Simplifying 1496 yields:
% 16.36/4.37 | (911) e4 = e0
% 16.36/4.37 |
% 16.36/4.37 | Equations (911) can reduce 7 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (216) ~ (all_0_2_2 = e1)
% 16.36/4.37 | (2184) all_0_7_7 = e1 | all_0_11_11 = e1 | all_0_19_19 = e1
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (155), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (692) all_0_0_0 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (692) can reduce 214 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (214) ~ (all_0_0_0 = e1)
% 16.36/4.37 | (2462) all_0_1_1 = e1 | all_0_2_2 = e1 | all_0_3_3 = e1
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (2462), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (213) all_0_1_1 = e1
% 16.36/4.37 |
% 16.36/4.37 | Combining equations (213,330) yields a new equation:
% 16.36/4.37 | (332) e4 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (332) can reduce 210 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (396) ~ (all_0_1_1 = e1)
% 16.36/4.37 | (2467) all_0_2_2 = e1 | all_0_3_3 = e1
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (2467), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (1371) all_0_2_2 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (1371) can reduce 216 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (216) ~ (all_0_2_2 = e1)
% 16.36/4.37 | (258) all_0_3_3 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (258) can reduce 218 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (285) ~ (all_0_9_9 = e1)
% 16.36/4.37 | (1957) all_0_13_13 = e1 | all_0_16_16 = e1
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (1957), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (224) all_0_13_13 = e1
% 16.36/4.37 |
% 16.36/4.37 | Combining equations (298,224) yields a new equation:
% 16.36/4.37 | (773) e3 = e1
% 16.36/4.37 |
% 16.36/4.37 | Simplifying 773 yields:
% 16.36/4.37 | (299) e3 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (299) can reduce 132 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (1568) ~ (all_0_13_13 = e1)
% 16.36/4.37 | (254) all_0_16_16 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (254) can reduce 231 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (220) ~ (all_0_6_6 = e1)
% 16.36/4.37 | (270) all_0_18_18 = e1
% 16.36/4.37 |
% 16.36/4.37 | Equations (270) can reduce 222 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (227) ~ (all_0_14_14 = e1)
% 16.36/4.37 | (429) all_0_14_14 = e3 | all_0_14_14 = e2
% 16.36/4.37 |
% 16.36/4.37 +-Applying beta-rule and splitting (429), into two cases.
% 16.36/4.37 |-Branch one:
% 16.36/4.37 | (310) all_0_14_14 = e3
% 16.36/4.37 |
% 16.36/4.37 | Equations (310) can reduce 313 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (313) ~ (all_0_14_14 = e3)
% 16.36/4.37 | (293) all_0_14_14 = e2
% 16.36/4.37 |
% 16.36/4.37 | Equations (293) can reduce 326 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 |-Branch two:
% 16.36/4.37 | (248) ~ (all_0_5_5 = e0)
% 16.36/4.37 | (249) all_0_20_20 = e0
% 16.36/4.37 |
% 16.36/4.37 | Combining equations (249,1017) yields a new equation:
% 16.36/4.37 | (246) e1 = e0
% 16.36/4.37 |
% 16.36/4.37 | Equations (246) can reduce 128 to:
% 16.36/4.37 | (247) $false
% 16.36/4.37 |
% 16.36/4.37 |-The branch is then unsatisfiable
% 16.36/4.37 % SZS output end Proof for theBenchmark
% 16.36/4.37
% 16.36/4.37 3784ms
%------------------------------------------------------------------------------