TSTP Solution File: ALG135+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG135+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:36:13 EDT 2022
% Result : Unsatisfiable 4.87s 1.71s
% Output : Proof 13.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG135+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 8 15:20:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.49/0.61 ____ _
% 0.49/0.61 ___ / __ \_____(_)___ ________ __________
% 0.49/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.49/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.49/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.49/0.61
% 0.49/0.61 A Theorem Prover for First-Order Logic
% 0.49/0.61 (ePrincess v.1.0)
% 0.49/0.61
% 0.49/0.61 (c) Philipp Rümmer, 2009-2015
% 0.49/0.61 (c) Peter Backeman, 2014-2015
% 0.49/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.49/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.49/0.61 Bug reports to peter@backeman.se
% 0.49/0.61
% 0.49/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.49/0.61
% 0.49/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.28/1.10 Prover 0: Preprocessing ...
% 3.23/1.35 Prover 0: Constructing countermodel ...
% 4.87/1.71 Prover 0: proved (1052ms)
% 4.87/1.71
% 4.87/1.71 No countermodel exists, formula is valid
% 4.87/1.71 % SZS status Unsatisfiable for theBenchmark
% 4.87/1.71
% 4.87/1.71 Generating proof ... found it (size 3543)
% 11.68/3.31
% 11.68/3.31 % SZS output start Proof for theBenchmark
% 11.68/3.31 Assumed formulas after preprocessing and simplification:
% 11.68/3.31 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v22, v0) = v23 & op(v20, v5) = v21 & op(v18, v15) = v19 & op(v16, v10) = v17 & op(v15, v15) = v18 & op(v10, v10) = v16 & op(v5, v5) = v20 & op(v0, v0) = v22 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (op(v27, v26) = v25) | ~ (op(v27, v26) = v24)) & ( ~ (v23 = e3) | ~ (v22 = e2) | ~ (v0 = e1)) & ( ~ (v23 = e3) | ~ (v22 = e1) | ~ (v0 = e2)) & ( ~ (v23 = e2) | ~ (v22 = e3) | ~ (v0 = e1)) & ( ~ (v23 = e2) | ~ (v22 = e1) | ~ (v0 = e3)) & ( ~ (v23 = e1) | ~ (v22 = e3) | ~ (v0 = e2)) & ( ~ (v23 = e1) | ~ (v22 = e2) | ~ (v0 = e3)) & ( ~ (v21 = e3) | ~ (v20 = e2) | ~ (v5 = e0)) & ( ~ (v21 = e3) | ~ (v20 = e0) | ~ (v5 = e2)) & ( ~ (v21 = e2) | ~ (v20 = e3) | ~ (v5 = e0)) & ( ~ (v21 = e2) | ~ (v20 = e0) | ~ (v5 = e3)) & ( ~ (v21 = e0) | ~ (v20 = e3) | ~ (v5 = e2)) & ( ~ (v21 = e0) | ~ (v20 = e2) | ~ (v5 = e3)) & ( ~ (v19 = e2) | ~ (v18 = e1) | ~ (v15 = e0)) & ( ~ (v19 = e2) | ~ (v18 = e0) | ~ (v15 = e1)) & ( ~ (v19 = e1) | ~ (v18 = e2) | ~ (v15 = e0)) & ( ~ (v19 = e1) | ~ (v18 = e0) | ~ (v15 = e2)) & ( ~ (v19 = e0) | ~ (v18 = e2) | ~ (v15 = e1)) & ( ~ (v19 = e0) | ~ (v18 = e1) | ~ (v15 = e2)) & ( ~ (v17 = e3) | ~ (v16 = e1) | ~ (v10 = e0)) & ( ~ (v17 = e3) | ~ (v16 = e0) | ~ (v10 = e1)) & ( ~ (v17 = e1) | ~ (v16 = e3) | ~ (v10 = e0)) & ( ~ (v17 = e1) | ~ (v16 = e0) | ~ (v10 = e3)) & ( ~ (v17 = e0) | ~ (v16 = e3) | ~ (v10 = e1)) & ( ~ (v17 = e0) | ~ (v16 = e1) | ~ (v10 = e3)) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3 | v12 = e3) & (v15 = e3 | v11 = e3 | v7 = e3 | v3 = e3) & (v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v15 = e2 | v11 = e2 | v7 = e2 | v3 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v12 = e1) & (v15 = e1 | v11 = e1 | v7 = e1 | v3 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v12 = e0) & (v15 = e0 | v11 = e0 | v7 = e0 | v3 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v14 = e3 | v10 = e3 | v6 = e3 | v2 = e3) & (v14 = e2 | v10 = e2 | v6 = e2 | v2 = e2) & (v14 = e1 | v10 = e1 | v6 = e1 | v2 = e1) & (v14 = e0 | v10 = e0 | v6 = e0 | v2 = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v13 = e3 | v9 = e3 | v5 = e3 | v1 = e3) & (v13 = e2 | v9 = e2 | v5 = e2 | v1 = e2) & (v13 = e1 | v9 = e1 | v5 = e1 | v1 = e1) & (v13 = e0 | v9 = e0 | v5 = e0 | v1 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e3 | v8 = e3 | v4 = e3 | v0 = e3) & (v12 = e2 | v8 = e2 | v4 = e2 | v0 = e2) & (v12 = e1 | v8 = e1 | v4 = e1 | v0 = e1) & (v12 = e0 | v8 = e0 | v4 = e0 | v0 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v11 = e3 | v10 = e3 | v9 = e3 | v8 = e3) & (v11 = e2 | v10 = e2 | v9 = e2 | v8 = e2) & (v11 = e1 | v10 = e1 | v9 = e1 | v8 = e1) & (v11 = e0 | v10 = e0 | v9 = e0 | v8 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v7 = e3 | v6 = e3 | v5 = e3 | v4 = e3) & (v7 = e2 | v6 = e2 | v5 = e2 | v4 = e2) & (v7 = e1 | v6 = e1 | v5 = e1 | v4 = e1) & (v7 = e0 | v6 = e0 | v5 = e0 | v4 = e0) & (v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & ((v14 = e3 & ~ (v11 = e2)) | (v6 = e1 & ~ (v9 = e2)) | (v2 = e0 & ~ (v8 = e2))) & ((v13 = e3 & ~ (v7 = e1)) | (v9 = e2 & ~ (v6 = e1)) | (v1 = e0 & ~ (v4 = e1))) & ((v12 = e3 & ~ (v3 = e0)) | (v8 = e2 & ~ (v2 = e0)) | (v4 = e1 & ~ (v1 = e0))) & ((v11 = e2 & ~ (v14 = e3)) | (v7 = e1 & ~ (v13 = e3)) | (v3 = e0 & ~ (v12 = e3))))
% 11.93/3.36 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23 yields:
% 11.93/3.36 | (1) ~ (all_0_8_8 = all_0_9_9) & ~ (all_0_8_8 = all_0_10_10) & ~ (all_0_8_8 = all_0_11_11) & ~ (all_0_8_8 = all_0_12_12) & ~ (all_0_8_8 = all_0_16_16) & ~ (all_0_8_8 = all_0_20_20) & ~ (all_0_9_9 = all_0_10_10) & ~ (all_0_9_9 = all_0_11_11) & ~ (all_0_9_9 = all_0_13_13) & ~ (all_0_9_9 = all_0_17_17) & ~ (all_0_9_9 = all_0_21_21) & ~ (all_0_10_10 = all_0_11_11) & ~ (all_0_10_10 = all_0_14_14) & ~ (all_0_10_10 = all_0_18_18) & ~ (all_0_10_10 = all_0_22_22) & ~ (all_0_11_11 = all_0_15_15) & ~ (all_0_11_11 = all_0_19_19) & ~ (all_0_11_11 = all_0_23_23) & ~ (all_0_12_12 = all_0_13_13) & ~ (all_0_12_12 = all_0_14_14) & ~ (all_0_12_12 = all_0_15_15) & ~ (all_0_12_12 = all_0_16_16) & ~ (all_0_12_12 = all_0_20_20) & ~ (all_0_13_13 = all_0_14_14) & ~ (all_0_13_13 = all_0_15_15) & ~ (all_0_13_13 = all_0_17_17) & ~ (all_0_13_13 = all_0_21_21) & ~ (all_0_14_14 = all_0_15_15) & ~ (all_0_14_14 = all_0_18_18) & ~ (all_0_14_14 = all_0_22_22) & ~ (all_0_15_15 = all_0_19_19) & ~ (all_0_15_15 = all_0_23_23) & ~ (all_0_16_16 = all_0_17_17) & ~ (all_0_16_16 = all_0_18_18) & ~ (all_0_16_16 = all_0_19_19) & ~ (all_0_16_16 = all_0_20_20) & ~ (all_0_17_17 = all_0_18_18) & ~ (all_0_17_17 = all_0_19_19) & ~ (all_0_17_17 = all_0_21_21) & ~ (all_0_18_18 = all_0_19_19) & ~ (all_0_18_18 = all_0_22_22) & ~ (all_0_19_19 = all_0_23_23) & ~ (all_0_20_20 = all_0_21_21) & ~ (all_0_20_20 = all_0_22_22) & ~ (all_0_20_20 = all_0_23_23) & ~ (all_0_21_21 = all_0_22_22) & ~ (all_0_21_21 = all_0_23_23) & ~ (all_0_22_22 = all_0_23_23) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_1_1, all_0_23_23) = all_0_0_0 & op(all_0_3_3, all_0_18_18) = all_0_2_2 & op(all_0_5_5, all_0_8_8) = all_0_4_4 & op(all_0_7_7, all_0_13_13) = all_0_6_6 & op(all_0_8_8, all_0_8_8) = all_0_5_5 & op(all_0_13_13, all_0_13_13) = all_0_7_7 & op(all_0_18_18, all_0_18_18) = all_0_3_3 & op(all_0_23_23, all_0_23_23) = all_0_1_1 & op(e3, e3) = all_0_8_8 & op(e3, e2) = all_0_9_9 & op(e3, e1) = all_0_10_10 & op(e3, e0) = all_0_11_11 & op(e2, e3) = all_0_12_12 & op(e2, e2) = all_0_13_13 & op(e2, e1) = all_0_14_14 & op(e2, e0) = all_0_15_15 & op(e1, e3) = all_0_16_16 & op(e1, e2) = all_0_17_17 & op(e1, e1) = all_0_18_18 & op(e1, e0) = all_0_19_19 & op(e0, e3) = all_0_20_20 & op(e0, e2) = all_0_21_21 & op(e0, e1) = all_0_22_22 & op(e0, e0) = all_0_23_23 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e1)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e2)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e1)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e3)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e2)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e3)) & ( ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e0)) & ( ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e0)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_4_4 = e2) | ~ (all_0_5_5 = e1) | ~ (all_0_8_8 = e0)) & ( ~ (all_0_4_4 = e2) | ~ (all_0_5_5 = e0) | ~ (all_0_8_8 = e1)) & ( ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e2) | ~ (all_0_8_8 = e0)) & ( ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e0) | ~ (all_0_8_8 = e2)) & ( ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e2) | ~ (all_0_8_8 = e1)) & ( ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e1) | ~ (all_0_8_8 = e2)) & ( ~ (all_0_6_6 = e3) | ~ (all_0_7_7 = e1) | ~ (all_0_13_13 = e0)) & ( ~ (all_0_6_6 = e3) | ~ (all_0_7_7 = e0) | ~ (all_0_13_13 = e1)) & ( ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e3) | ~ (all_0_13_13 = e0)) & ( ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e0) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e3) | ~ (all_0_13_13 = e1)) & ( ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e1) | ~ (all_0_13_13 = e3)) & (all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0) & (all_0_8_8 = e3 | all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3) & (all_0_8_8 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3) & (all_0_8_8 = e2 | all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2) & (all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2) & (all_0_8_8 = e1 | all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1) & (all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1) & (all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0) & (all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0) & (all_0_9_9 = e3 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0) & (all_0_9_9 = e3 | all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3) & (all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2) & (all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1) & (all_0_9_9 = e0 | all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0) & (all_0_10_10 = e3 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0) & (all_0_10_10 = e3 | all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3) & (all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2) & (all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1) & (all_0_10_10 = e0 | all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0) & (all_0_11_11 = e3 | all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0) & (all_0_11_11 = e3 | all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3) & (all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2) & (all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1) & (all_0_11_11 = e0 | all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0) & (all_0_12_12 = e3 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0) & (all_0_12_12 = e3 | all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3) & (all_0_12_12 = e2 | all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2) & (all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1) & (all_0_12_12 = e0 | all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0) & (all_0_13_13 = e3 | all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0) & (all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0) & (all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0) & (all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0) & (all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3) & (all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2) & (all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1) & (all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0) & (all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0) & (all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0) & (all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0) & (all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0) & (all_0_20_20 = e3 | all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3) & (all_0_20_20 = e2 | all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2) & (all_0_20_20 = e1 | all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1) & (all_0_20_20 = e0 | all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0) & (all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0) & (all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0) & (all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0) & ((all_0_9_9 = e3 & ~ (all_0_12_12 = e2)) | (all_0_17_17 = e1 & ~ (all_0_14_14 = e2)) | (all_0_21_21 = e0 & ~ (all_0_15_15 = e2))) & ((all_0_10_10 = e3 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = e2 & ~ (all_0_17_17 = e1)) | (all_0_22_22 = e0 & ~ (all_0_19_19 = e1))) & ((all_0_11_11 = e3 & ~ (all_0_20_20 = e0)) | (all_0_15_15 = e2 & ~ (all_0_21_21 = e0)) | (all_0_19_19 = e1 & ~ (all_0_22_22 = e0))) & ((all_0_12_12 = e2 & ~ (all_0_9_9 = e3)) | (all_0_16_16 = e1 & ~ (all_0_10_10 = e3)) | (all_0_20_20 = e0 & ~ (all_0_11_11 = e3)))
% 11.93/3.36 |
% 11.93/3.36 | Applying alpha-rule on (1) yields:
% 11.93/3.36 | (2) ~ (all_0_21_21 = all_0_22_22)
% 11.93/3.36 | (3) all_0_20_20 = e2 | all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 11.93/3.36 | (4) ~ (all_0_12_12 = all_0_14_14)
% 11.93/3.36 | (5) ~ (all_0_8_8 = all_0_9_9)
% 11.93/3.36 | (6) ~ (all_0_11_11 = all_0_15_15)
% 11.93/3.36 | (7) ~ (all_0_9_9 = all_0_10_10)
% 11.93/3.36 | (8) all_0_11_11 = e3 | all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 11.93/3.36 | (9) ~ (all_0_10_10 = all_0_18_18)
% 11.93/3.36 | (10) (all_0_11_11 = e3 & ~ (all_0_20_20 = e0)) | (all_0_15_15 = e2 & ~ (all_0_21_21 = e0)) | (all_0_19_19 = e1 & ~ (all_0_22_22 = e0))
% 11.93/3.37 | (11) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e2)
% 11.93/3.37 | (12) op(all_0_3_3, all_0_18_18) = all_0_2_2
% 11.93/3.37 | (13) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 11.93/3.37 | (14) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e3)
% 11.93/3.37 | (15) all_0_20_20 = e0 | all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0
% 11.93/3.37 | (16) all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 11.93/3.37 | (17) all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 11.93/3.37 | (18) ~ (all_0_12_12 = all_0_13_13)
% 11.93/3.37 | (19) ~ (all_0_4_4 = e2) | ~ (all_0_5_5 = e0) | ~ (all_0_8_8 = e1)
% 11.93/3.37 | (20) ~ (all_0_15_15 = all_0_23_23)
% 11.93/3.37 | (21) ~ (e3 = e0)
% 11.93/3.37 | (22) ~ (all_0_10_10 = all_0_14_14)
% 11.93/3.37 | (23) all_0_8_8 = e2 | all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 11.93/3.37 | (24) ~ (all_0_16_16 = all_0_19_19)
% 11.93/3.37 | (25) ~ (all_0_9_9 = all_0_17_17)
% 11.93/3.37 | (26) ~ (all_0_19_19 = all_0_23_23)
% 11.93/3.37 | (27) ~ (all_0_10_10 = all_0_22_22)
% 11.93/3.37 | (28) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e3) | ~ (all_0_13_13 = e1)
% 11.93/3.37 | (29) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 11.93/3.37 | (30) op(e1, e1) = all_0_18_18
% 11.93/3.37 | (31) ~ (all_0_22_22 = all_0_23_23)
% 11.93/3.37 | (32) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 11.93/3.37 | (33) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e2)
% 11.93/3.37 | (34) all_0_20_20 = e1 | all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 11.93/3.37 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 11.93/3.37 | (36) all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 11.93/3.37 | (37) ~ (all_0_12_12 = all_0_16_16)
% 11.93/3.37 | (38) ~ (all_0_6_6 = e3) | ~ (all_0_7_7 = e0) | ~ (all_0_13_13 = e1)
% 11.93/3.37 | (39) ~ (all_0_12_12 = all_0_15_15)
% 11.93/3.37 | (40) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 11.93/3.37 | (41) all_0_12_12 = e3 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 11.93/3.37 | (42) ~ (all_0_20_20 = all_0_23_23)
% 11.93/3.37 | (43) all_0_10_10 = e3 | all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 11.93/3.37 | (44) op(all_0_1_1, all_0_23_23) = all_0_0_0
% 11.93/3.37 | (45) ~ (all_0_20_20 = all_0_21_21)
% 11.93/3.37 | (46) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 11.93/3.37 | (47) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e2)
% 11.93/3.37 | (48) ~ (all_0_13_13 = all_0_17_17)
% 11.93/3.37 | (49) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 11.93/3.37 | (50) op(e1, e3) = all_0_16_16
% 11.93/3.37 | (51) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e1)
% 11.93/3.37 | (52) op(e1, e2) = all_0_17_17
% 11.93/3.37 | (53) ~ (all_0_13_13 = all_0_14_14)
% 11.93/3.37 | (54) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e3)
% 11.93/3.37 | (55) ~ (all_0_10_10 = all_0_11_11)
% 11.93/3.37 | (56) op(all_0_13_13, all_0_13_13) = all_0_7_7
% 11.93/3.37 | (57) ~ (all_0_4_4 = e2) | ~ (all_0_5_5 = e1) | ~ (all_0_8_8 = e0)
% 11.93/3.37 | (58) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 11.93/3.37 | (59) ~ (all_0_14_14 = all_0_15_15)
% 11.93/3.37 | (60) ~ (all_0_13_13 = all_0_15_15)
% 11.93/3.37 | (61) all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 11.93/3.37 | (62) ~ (all_0_6_6 = e3) | ~ (all_0_7_7 = e1) | ~ (all_0_13_13 = e0)
% 11.93/3.37 | (63) all_0_20_20 = e3 | all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 11.93/3.37 | (64) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e0)
% 11.93/3.37 | (65) ~ (all_0_8_8 = all_0_16_16)
% 11.93/3.37 | (66) all_0_9_9 = e0 | all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 11.93/3.37 | (67) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 11.93/3.37 | (68) ~ (all_0_14_14 = all_0_22_22)
% 11.93/3.37 | (69) ~ (all_0_9_9 = all_0_13_13)
% 11.93/3.37 | (70) op(e0, e2) = all_0_21_21
% 11.93/3.37 | (71) all_0_12_12 = e0 | all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 11.93/3.37 | (72) ~ (all_0_14_14 = all_0_18_18)
% 11.93/3.37 | (73) (all_0_10_10 = e3 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = e2 & ~ (all_0_17_17 = e1)) | (all_0_22_22 = e0 & ~ (all_0_19_19 = e1))
% 11.93/3.37 | (74) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1
% 11.93/3.37 | (75) op(e3, e1) = all_0_10_10
% 11.93/3.37 | (76) ~ (all_0_8_8 = all_0_10_10)
% 11.93/3.37 | (77) op(all_0_18_18, all_0_18_18) = all_0_3_3
% 11.93/3.37 | (78) all_0_12_12 = e2 | all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2
% 11.93/3.37 | (79) all_0_10_10 = e3 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 11.93/3.37 | (80) ~ (e1 = e0)
% 12.21/3.37 | (81) ~ (all_0_12_12 = all_0_20_20)
% 12.21/3.37 | (82) ~ (all_0_16_16 = all_0_20_20)
% 12.21/3.37 | (83) (all_0_12_12 = e2 & ~ (all_0_9_9 = e3)) | (all_0_16_16 = e1 & ~ (all_0_10_10 = e3)) | (all_0_20_20 = e0 & ~ (all_0_11_11 = e3))
% 12.21/3.38 | (84) ~ (all_0_15_15 = all_0_19_19)
% 12.21/3.38 | (85) ~ (e3 = e1)
% 12.21/3.38 | (86) op(e0, e3) = all_0_20_20
% 12.21/3.38 | (87) all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 12.21/3.38 | (88) ~ (e2 = e0)
% 12.21/3.38 | (89) ~ (all_0_16_16 = all_0_18_18)
% 12.21/3.38 | (90) op(e2, e3) = all_0_12_12
% 12.21/3.38 | (91) ~ (all_0_18_18 = all_0_22_22)
% 12.21/3.38 | (92) ~ (all_0_16_16 = all_0_17_17)
% 12.21/3.38 | (93) ~ (all_0_13_13 = all_0_21_21)
% 12.21/3.38 | (94) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e2) | ~ (all_0_8_8 = e1)
% 12.21/3.38 | (95) all_0_13_13 = e3 | all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 12.21/3.38 | (96) ~ (e2 = e1)
% 12.21/3.38 | (97) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 12.21/3.38 | (98) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e1) | ~ (all_0_8_8 = e2)
% 12.21/3.38 | (99) all_0_11_11 = e0 | all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 12.21/3.38 | (100) ~ (all_0_9_9 = all_0_21_21)
% 12.21/3.38 | (101) ~ (all_0_8_8 = all_0_11_11)
% 12.21/3.38 | (102) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e0)
% 12.21/3.38 | (103) op(e2, e2) = all_0_13_13
% 12.21/3.38 | (104) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 12.21/3.38 | (105) ~ (all_0_8_8 = all_0_12_12)
% 12.21/3.38 | (106) all_0_12_12 = e3 | all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 12.21/3.38 | (107) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 12.21/3.38 | (108) op(e3, e0) = all_0_11_11
% 12.21/3.38 | (109) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e3)
% 12.21/3.38 | (110) op(e1, e0) = all_0_19_19
% 12.21/3.38 | (111) all_0_10_10 = e0 | all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 12.21/3.38 | (112) ~ (all_0_9_9 = all_0_11_11)
% 12.21/3.38 | (113) op(e3, e3) = all_0_8_8
% 12.21/3.38 | (114) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e0) | ~ (all_0_8_8 = e2)
% 12.21/3.38 | (115) ~ (all_0_17_17 = all_0_18_18)
% 12.21/3.38 | (116) op(all_0_23_23, all_0_23_23) = all_0_1_1
% 12.21/3.38 | (117) all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 12.21/3.38 | (118) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e0) | ~ (all_0_13_13 = e3)
% 12.21/3.38 | (119) (all_0_9_9 = e3 & ~ (all_0_12_12 = e2)) | (all_0_17_17 = e1 & ~ (all_0_14_14 = e2)) | (all_0_21_21 = e0 & ~ (all_0_15_15 = e2))
% 12.21/3.38 | (120) ~ (all_0_17_17 = all_0_19_19)
% 12.21/3.38 | (121) ~ (all_0_20_20 = all_0_22_22)
% 12.21/3.38 | (122) op(e2, e1) = all_0_14_14
% 12.21/3.38 | (123) ~ (e3 = e2)
% 12.21/3.38 | (124) ~ (all_0_11_11 = all_0_23_23)
% 12.21/3.38 | (125) all_0_11_11 = e3 | all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 12.21/3.38 | (126) all_0_8_8 = e3 | all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3
% 12.21/3.38 | (127) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e1) | ~ (all_0_13_13 = e3)
% 12.21/3.38 | (128) all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 12.21/3.38 | (129) op(e2, e0) = all_0_15_15
% 12.21/3.38 | (130) op(all_0_7_7, all_0_13_13) = all_0_6_6
% 12.21/3.38 | (131) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e3) | ~ (all_0_13_13 = e0)
% 12.21/3.38 | (132) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 12.21/3.38 | (133) op(e0, e0) = all_0_23_23
% 12.21/3.38 | (134) op(all_0_5_5, all_0_8_8) = all_0_4_4
% 12.21/3.38 | (135) all_0_9_9 = e3 | all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 12.21/3.38 | (136) ~ (all_0_18_18 = all_0_19_19)
% 12.21/3.38 | (137) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 12.21/3.38 | (138) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e3)
% 12.21/3.38 | (139) ~ (all_0_11_11 = all_0_19_19)
% 12.21/3.38 | (140) ~ (all_0_17_17 = all_0_21_21)
% 12.21/3.38 | (141) all_0_9_9 = e3 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 12.21/3.38 | (142) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 12.21/3.39 | (143) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 12.21/3.39 | (144) op(all_0_8_8, all_0_8_8) = all_0_5_5
% 12.21/3.39 | (145) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e1)
% 12.21/3.39 | (146) ~ (all_0_21_21 = all_0_23_23)
% 12.21/3.39 | (147) op(e0, e1) = all_0_22_22
% 12.21/3.39 | (148) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 12.21/3.39 | (149) ~ (all_0_8_8 = all_0_20_20)
% 12.21/3.39 | (150) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 12.21/3.39 | (151) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e2)
% 12.21/3.39 | (152) all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 12.21/3.39 | (153) all_0_8_8 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 12.21/3.39 | (154) all_0_8_8 = e1 | all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 12.21/3.39 | (155) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e2) | ~ (all_0_8_8 = e0)
% 12.21/3.39 | (156) op(e3, e2) = all_0_9_9
% 12.21/3.39 |
% 12.21/3.39 +-Applying beta-rule and splitting (10), into two cases.
% 12.21/3.39 |-Branch one:
% 12.21/3.39 | (157) (all_0_11_11 = e3 & ~ (all_0_20_20 = e0)) | (all_0_15_15 = e2 & ~ (all_0_21_21 = e0))
% 12.21/3.39 |
% 12.21/3.39 +-Applying beta-rule and splitting (157), into two cases.
% 12.21/3.39 |-Branch one:
% 12.21/3.39 | (158) all_0_11_11 = e3 & ~ (all_0_20_20 = e0)
% 12.21/3.39 |
% 12.21/3.39 | Applying alpha-rule on (158) yields:
% 12.21/3.39 | (159) all_0_11_11 = e3
% 12.21/3.39 | (160) ~ (all_0_20_20 = e0)
% 12.21/3.39 |
% 12.21/3.39 | Equations (159) can reduce 101 to:
% 12.21/3.39 | (161) ~ (all_0_8_8 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Equations (159) can reduce 112 to:
% 12.21/3.39 | (162) ~ (all_0_9_9 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Equations (159) can reduce 55 to:
% 12.21/3.39 | (163) ~ (all_0_10_10 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Equations (159) can reduce 6 to:
% 12.21/3.39 | (164) ~ (all_0_15_15 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Simplifying 164 yields:
% 12.21/3.39 | (165) ~ (all_0_15_15 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Equations (159) can reduce 139 to:
% 12.21/3.39 | (166) ~ (all_0_19_19 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Simplifying 166 yields:
% 12.21/3.39 | (167) ~ (all_0_19_19 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Equations (159) can reduce 124 to:
% 12.21/3.39 | (168) ~ (all_0_23_23 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Simplifying 168 yields:
% 12.21/3.39 | (169) ~ (all_0_23_23 = e3)
% 12.21/3.39 |
% 12.21/3.39 +-Applying beta-rule and splitting (83), into two cases.
% 12.21/3.39 |-Branch one:
% 12.21/3.39 | (170) (all_0_12_12 = e2 & ~ (all_0_9_9 = e3)) | (all_0_16_16 = e1 & ~ (all_0_10_10 = e3))
% 12.21/3.39 |
% 12.21/3.39 +-Applying beta-rule and splitting (170), into two cases.
% 12.21/3.39 |-Branch one:
% 12.21/3.39 | (171) all_0_12_12 = e2 & ~ (all_0_9_9 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Applying alpha-rule on (171) yields:
% 12.21/3.39 | (172) all_0_12_12 = e2
% 12.21/3.39 | (162) ~ (all_0_9_9 = e3)
% 12.21/3.39 |
% 12.21/3.39 | Equations (172) can reduce 18 to:
% 12.21/3.39 | (174) ~ (all_0_13_13 = e2)
% 12.21/3.39 |
% 12.21/3.39 | Simplifying 174 yields:
% 12.21/3.39 | (175) ~ (all_0_13_13 = e2)
% 12.21/3.39 |
% 12.21/3.39 | Equations (172) can reduce 4 to:
% 12.21/3.39 | (176) ~ (all_0_14_14 = e2)
% 12.21/3.39 |
% 12.21/3.39 | Simplifying 176 yields:
% 12.21/3.39 | (177) ~ (all_0_14_14 = e2)
% 12.21/3.39 |
% 12.21/3.39 | Equations (172) can reduce 37 to:
% 12.21/3.39 | (178) ~ (all_0_16_16 = e2)
% 12.21/3.39 |
% 12.21/3.39 | Simplifying 178 yields:
% 12.21/3.39 | (179) ~ (all_0_16_16 = e2)
% 12.21/3.39 |
% 12.21/3.39 | Equations (172) can reduce 81 to:
% 12.21/3.39 | (180) ~ (all_0_20_20 = e2)
% 12.21/3.39 |
% 12.21/3.39 | Simplifying 180 yields:
% 12.21/3.39 | (181) ~ (all_0_20_20 = e2)
% 12.21/3.39 |
% 12.21/3.39 +-Applying beta-rule and splitting (73), into two cases.
% 12.21/3.39 |-Branch one:
% 12.21/3.39 | (182) (all_0_10_10 = e3 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = e2 & ~ (all_0_17_17 = e1))
% 12.21/3.39 |
% 12.21/3.39 +-Applying beta-rule and splitting (182), into two cases.
% 12.21/3.39 |-Branch one:
% 12.21/3.39 | (183) all_0_10_10 = e3 & ~ (all_0_16_16 = e1)
% 12.21/3.39 |
% 12.21/3.39 | Applying alpha-rule on (183) yields:
% 12.21/3.39 | (184) all_0_10_10 = e3
% 12.21/3.39 | (185) ~ (all_0_16_16 = e1)
% 12.21/3.39 |
% 12.21/3.39 | Equations (184) can reduce 163 to:
% 12.21/3.39 | (186) $false
% 12.21/3.39 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (187) all_0_14_14 = e2 & ~ (all_0_17_17 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Applying alpha-rule on (187) yields:
% 12.21/3.40 | (188) all_0_14_14 = e2
% 12.21/3.40 | (189) ~ (all_0_17_17 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (188) can reduce 177 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (191) all_0_22_22 = e0 & ~ (all_0_19_19 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Applying alpha-rule on (191) yields:
% 12.21/3.40 | (192) all_0_22_22 = e0
% 12.21/3.40 | (193) ~ (all_0_19_19 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (192) can reduce 27 to:
% 12.21/3.40 | (194) ~ (all_0_10_10 = e0)
% 12.21/3.40 |
% 12.21/3.40 | Equations (192) can reduce 91 to:
% 12.21/3.40 | (195) ~ (all_0_18_18 = e0)
% 12.21/3.40 |
% 12.21/3.40 | Equations (192) can reduce 121 to:
% 12.21/3.40 | (160) ~ (all_0_20_20 = e0)
% 12.21/3.40 |
% 12.21/3.40 | Equations (192) can reduce 2 to:
% 12.21/3.40 | (197) ~ (all_0_21_21 = e0)
% 12.21/3.40 |
% 12.21/3.40 | Equations (192) can reduce 31 to:
% 12.21/3.40 | (198) ~ (all_0_23_23 = e0)
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 198 yields:
% 12.21/3.40 | (199) ~ (all_0_23_23 = e0)
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (119), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (200) (all_0_9_9 = e3 & ~ (all_0_12_12 = e2)) | (all_0_17_17 = e1 & ~ (all_0_14_14 = e2))
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (200), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (201) all_0_9_9 = e3 & ~ (all_0_12_12 = e2)
% 12.21/3.40 |
% 12.21/3.40 | Applying alpha-rule on (201) yields:
% 12.21/3.40 | (202) all_0_9_9 = e3
% 12.21/3.40 | (203) ~ (all_0_12_12 = e2)
% 12.21/3.40 |
% 12.21/3.40 | Equations (172) can reduce 203 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (205) all_0_17_17 = e1 & ~ (all_0_14_14 = e2)
% 12.21/3.40 |
% 12.21/3.40 | Applying alpha-rule on (205) yields:
% 12.21/3.40 | (206) all_0_17_17 = e1
% 12.21/3.40 | (177) ~ (all_0_14_14 = e2)
% 12.21/3.40 |
% 12.21/3.40 | Equations (206) can reduce 25 to:
% 12.21/3.40 | (208) ~ (all_0_9_9 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (206) can reduce 48 to:
% 12.21/3.40 | (209) ~ (all_0_13_13 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (206) can reduce 92 to:
% 12.21/3.40 | (185) ~ (all_0_16_16 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (206) can reduce 115 to:
% 12.21/3.40 | (211) ~ (all_0_18_18 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 211 yields:
% 12.21/3.40 | (212) ~ (all_0_18_18 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (206) can reduce 120 to:
% 12.21/3.40 | (213) ~ (all_0_19_19 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 213 yields:
% 12.21/3.40 | (193) ~ (all_0_19_19 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (206) can reduce 140 to:
% 12.21/3.40 | (215) ~ (all_0_21_21 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 215 yields:
% 12.21/3.40 | (216) ~ (all_0_21_21 = e1)
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (34), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (217) all_0_20_20 = e1
% 12.21/3.40 |
% 12.21/3.40 | Equations (217) can reduce 149 to:
% 12.21/3.40 | (218) ~ (all_0_8_8 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (217) can reduce 82 to:
% 12.21/3.40 | (185) ~ (all_0_16_16 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (217) can reduce 45 to:
% 12.21/3.40 | (215) ~ (all_0_21_21 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 215 yields:
% 12.21/3.40 | (216) ~ (all_0_21_21 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (217) can reduce 42 to:
% 12.21/3.40 | (222) ~ (all_0_23_23 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 222 yields:
% 12.21/3.40 | (223) ~ (all_0_23_23 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Equations (217) can reduce 181 to:
% 12.21/3.40 | (224) ~ (e2 = e1)
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 224 yields:
% 12.21/3.40 | (96) ~ (e2 = e1)
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (153), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (226) all_0_8_8 = e3
% 12.21/3.40 |
% 12.21/3.40 | Equations (226) can reduce 161 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (161) ~ (all_0_8_8 = e3)
% 12.21/3.40 | (229) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (152), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (226) all_0_8_8 = e3
% 12.21/3.40 |
% 12.21/3.40 | Equations (226) can reduce 161 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (161) ~ (all_0_8_8 = e3)
% 12.21/3.40 | (233) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (142), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (234) all_0_23_23 = e3
% 12.21/3.40 |
% 12.21/3.40 | Equations (234) can reduce 169 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (169) ~ (all_0_23_23 = e3)
% 12.21/3.40 | (237) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (154), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (238) all_0_8_8 = e1
% 12.21/3.40 |
% 12.21/3.40 | Equations (238) can reduce 218 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (218) ~ (all_0_8_8 = e1)
% 12.21/3.40 | (241) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (63), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (242) all_0_20_20 = e3
% 12.21/3.40 |
% 12.21/3.40 | Combining equations (242,217) yields a new equation:
% 12.21/3.40 | (243) e3 = e1
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 243 yields:
% 12.21/3.40 | (244) e3 = e1
% 12.21/3.40 |
% 12.21/3.40 | Equations (244) can reduce 85 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (246) ~ (all_0_20_20 = e3)
% 12.21/3.40 | (247) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (247), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (248) all_0_21_21 = e3
% 12.21/3.40 |
% 12.21/3.40 | Equations (248) can reduce 100 to:
% 12.21/3.40 | (162) ~ (all_0_9_9 = e3)
% 12.21/3.40 |
% 12.21/3.40 | Equations (248) can reduce 93 to:
% 12.21/3.40 | (250) ~ (all_0_13_13 = e3)
% 12.21/3.40 |
% 12.21/3.40 | Equations (248) can reduce 216 to:
% 12.21/3.40 | (85) ~ (e3 = e1)
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (3), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (252) all_0_20_20 = e2
% 12.21/3.40 |
% 12.21/3.40 | Combining equations (217,252) yields a new equation:
% 12.21/3.40 | (253) e2 = e1
% 12.21/3.40 |
% 12.21/3.40 | Equations (253) can reduce 96 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (181) ~ (all_0_20_20 = e2)
% 12.21/3.40 | (256) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (256), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (257) all_0_21_21 = e2
% 12.21/3.40 |
% 12.21/3.40 | Combining equations (248,257) yields a new equation:
% 12.21/3.40 | (258) e3 = e2
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 258 yields:
% 12.21/3.40 | (259) e3 = e2
% 12.21/3.40 |
% 12.21/3.40 | Equations (259) can reduce 123 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (261) ~ (all_0_21_21 = e2)
% 12.21/3.40 | (262) all_0_22_22 = e2 | all_0_23_23 = e2
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (262), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (263) all_0_22_22 = e2
% 12.21/3.40 |
% 12.21/3.40 | Combining equations (263,192) yields a new equation:
% 12.21/3.40 | (264) e2 = e0
% 12.21/3.40 |
% 12.21/3.40 | Simplifying 264 yields:
% 12.21/3.40 | (265) e2 = e0
% 12.21/3.40 |
% 12.21/3.40 | Equations (265) can reduce 88 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (267) ~ (all_0_22_22 = e2)
% 12.21/3.40 | (268) all_0_23_23 = e2
% 12.21/3.40 |
% 12.21/3.40 | Equations (268) can reduce 26 to:
% 12.21/3.40 | (269) ~ (all_0_19_19 = e2)
% 12.21/3.40 |
% 12.21/3.40 | Equations (268) can reduce 223 to:
% 12.21/3.40 | (96) ~ (e2 = e1)
% 12.21/3.40 |
% 12.21/3.40 | From (268) and (133) follows:
% 12.21/3.40 | (271) op(e0, e0) = e2
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (104), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (272) all_0_19_19 = e3
% 12.21/3.40 |
% 12.21/3.40 | Equations (272) can reduce 167 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (167) ~ (all_0_19_19 = e3)
% 12.21/3.40 | (275) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 12.21/3.40 |
% 12.21/3.40 +-Applying beta-rule and splitting (275), into two cases.
% 12.21/3.40 |-Branch one:
% 12.21/3.40 | (276) all_0_19_19 = e2
% 12.21/3.40 |
% 12.21/3.40 | Equations (276) can reduce 269 to:
% 12.21/3.40 | (186) $false
% 12.21/3.40 |
% 12.21/3.40 |-The branch is then unsatisfiable
% 12.21/3.40 |-Branch two:
% 12.21/3.40 | (269) ~ (all_0_19_19 = e2)
% 12.21/3.41 | (279) all_0_19_19 = e1 | all_0_19_19 = e0
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (279), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (280) all_0_19_19 = e1
% 12.21/3.41 |
% 12.21/3.41 | Equations (280) can reduce 193 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (193) ~ (all_0_19_19 = e1)
% 12.21/3.41 | (283) all_0_19_19 = e0
% 12.21/3.41 |
% 12.21/3.41 | Equations (283) can reduce 24 to:
% 12.21/3.41 | (284) ~ (all_0_16_16 = e0)
% 12.21/3.41 |
% 12.21/3.41 | Equations (283) can reduce 269 to:
% 12.21/3.41 | (285) ~ (e2 = e0)
% 12.21/3.41 |
% 12.21/3.41 | Simplifying 285 yields:
% 12.21/3.41 | (88) ~ (e2 = e0)
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (117), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (287) all_0_11_11 = e1
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (287,159) yields a new equation:
% 12.21/3.41 | (244) e3 = e1
% 12.21/3.41 |
% 12.21/3.41 | Equations (244) can reduce 85 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (290) ~ (all_0_11_11 = e1)
% 12.21/3.41 | (291) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (137), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (292) all_0_16_16 = e3
% 12.21/3.41 |
% 12.21/3.41 | Equations (292) can reduce 179 to:
% 12.21/3.41 | (123) ~ (e3 = e2)
% 12.21/3.41 |
% 12.21/3.41 | Equations (292) can reduce 185 to:
% 12.21/3.41 | (85) ~ (e3 = e1)
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (49), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (295) all_0_16_16 = e2
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (292,295) yields a new equation:
% 12.21/3.41 | (258) e3 = e2
% 12.21/3.41 |
% 12.21/3.41 | Simplifying 258 yields:
% 12.21/3.41 | (259) e3 = e2
% 12.21/3.41 |
% 12.21/3.41 | Equations (259) can reduce 123 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (179) ~ (all_0_16_16 = e2)
% 12.21/3.41 | (300) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 12.21/3.41 |
% 12.21/3.41 | Equations (292) can reduce 179 to:
% 12.21/3.41 | (123) ~ (e3 = e2)
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (300), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (302) all_0_17_17 = e2
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (302,206) yields a new equation:
% 12.21/3.41 | (303) e2 = e1
% 12.21/3.41 |
% 12.21/3.41 | Simplifying 303 yields:
% 12.21/3.41 | (253) e2 = e1
% 12.21/3.41 |
% 12.21/3.41 | Equations (253) can reduce 96 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (306) ~ (all_0_17_17 = e2)
% 12.21/3.41 | (307) all_0_18_18 = e2 | all_0_19_19 = e2
% 12.21/3.41 |
% 12.21/3.41 | Equations (206) can reduce 306 to:
% 12.21/3.41 | (224) ~ (e2 = e1)
% 12.21/3.41 |
% 12.21/3.41 | Simplifying 224 yields:
% 12.21/3.41 | (96) ~ (e2 = e1)
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (97), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (310) all_0_15_15 = e3
% 12.21/3.41 |
% 12.21/3.41 | Equations (310) can reduce 165 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (165) ~ (all_0_15_15 = e3)
% 12.21/3.41 | (313) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (71), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (314) all_0_12_12 = e0
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (314,172) yields a new equation:
% 12.21/3.41 | (265) e2 = e0
% 12.21/3.41 |
% 12.21/3.41 | Equations (265) can reduce 88 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (317) ~ (all_0_12_12 = e0)
% 12.21/3.41 | (318) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 12.21/3.41 |
% 12.21/3.41 | Equations (172) can reduce 317 to:
% 12.21/3.41 | (88) ~ (e2 = e0)
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (106), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (320) all_0_12_12 = e3
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (320,172) yields a new equation:
% 12.21/3.41 | (258) e3 = e2
% 12.21/3.41 |
% 12.21/3.41 | Simplifying 258 yields:
% 12.21/3.41 | (259) e3 = e2
% 12.21/3.41 |
% 12.21/3.41 | Equations (259) can reduce 123 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (324) ~ (all_0_12_12 = e3)
% 12.21/3.41 | (325) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (318), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (326) all_0_13_13 = e0
% 12.21/3.41 |
% 12.21/3.41 | Equations (326) can reduce 69 to:
% 12.21/3.41 | (327) ~ (all_0_9_9 = e0)
% 12.21/3.41 |
% 12.21/3.41 | From (326) and (130) follows:
% 12.21/3.41 | (328) op(all_0_7_7, e0) = all_0_6_6
% 12.21/3.41 |
% 12.21/3.41 | From (326)(326) and (56) follows:
% 12.21/3.41 | (329) op(e0, e0) = all_0_7_7
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (87), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (330) all_0_8_8 = e0
% 12.21/3.41 |
% 12.21/3.41 | Equations (330) can reduce 218 to:
% 12.21/3.41 | (331) ~ (e1 = e0)
% 12.21/3.41 |
% 12.21/3.41 | Simplifying 331 yields:
% 12.21/3.41 | (80) ~ (e1 = e0)
% 12.21/3.41 |
% 12.21/3.41 | From (330) and (134) follows:
% 12.21/3.41 | (333) op(all_0_5_5, e0) = all_0_4_4
% 12.21/3.41 |
% 12.21/3.41 | From (330)(330) and (144) follows:
% 12.21/3.41 | (334) op(e0, e0) = all_0_5_5
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (291), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (335) all_0_15_15 = e1
% 12.21/3.41 |
% 12.21/3.41 | From (335) and (129) follows:
% 12.21/3.41 | (336) op(e2, e0) = e1
% 12.21/3.41 |
% 12.21/3.41 | Instantiating formula (35) with e0, e0, all_0_7_7, all_0_5_5 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = all_0_7_7, yields:
% 12.21/3.41 | (337) all_0_5_5 = all_0_7_7
% 12.21/3.41 |
% 12.21/3.41 | Instantiating formula (35) with e0, e0, e2, all_0_5_5 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = e2, yields:
% 12.21/3.41 | (338) all_0_5_5 = e2
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (337,338) yields a new equation:
% 12.21/3.41 | (339) all_0_7_7 = e2
% 12.21/3.41 |
% 12.21/3.41 | Simplifying 339 yields:
% 12.21/3.41 | (340) all_0_7_7 = e2
% 12.21/3.41 |
% 12.21/3.41 | From (338) and (333) follows:
% 12.21/3.41 | (341) op(e2, e0) = all_0_4_4
% 12.21/3.41 |
% 12.21/3.41 | From (340) and (328) follows:
% 12.21/3.41 | (342) op(e2, e0) = all_0_6_6
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (155), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (343) ~ (all_0_4_4 = e1)
% 12.21/3.41 |
% 12.21/3.41 | Instantiating formula (35) with e2, e0, all_0_4_4, e1 and discharging atoms op(e2, e0) = all_0_4_4, op(e2, e0) = e1, yields:
% 12.21/3.41 | (344) all_0_4_4 = e1
% 12.21/3.41 |
% 12.21/3.41 | Instantiating formula (35) with e2, e0, all_0_6_6, all_0_4_4 and discharging atoms op(e2, e0) = all_0_4_4, op(e2, e0) = all_0_6_6, yields:
% 12.21/3.41 | (345) all_0_4_4 = all_0_6_6
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (344,345) yields a new equation:
% 12.21/3.41 | (346) all_0_6_6 = e1
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (346,345) yields a new equation:
% 12.21/3.41 | (344) all_0_4_4 = e1
% 12.21/3.41 |
% 12.21/3.41 | Equations (344) can reduce 343 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (344) all_0_4_4 = e1
% 12.21/3.41 | (350) ~ (all_0_5_5 = e2) | ~ (all_0_8_8 = e0)
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (350), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (351) ~ (all_0_5_5 = e2)
% 12.21/3.41 |
% 12.21/3.41 | Equations (338) can reduce 351 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (338) all_0_5_5 = e2
% 12.21/3.41 | (354) ~ (all_0_8_8 = e0)
% 12.21/3.41 |
% 12.21/3.41 | Equations (330) can reduce 354 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (356) ~ (all_0_15_15 = e1)
% 12.21/3.41 | (357) all_0_19_19 = e1 | all_0_23_23 = e1
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (357), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (280) all_0_19_19 = e1
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (283,280) yields a new equation:
% 12.21/3.41 | (359) e1 = e0
% 12.21/3.41 |
% 12.21/3.41 | Equations (359) can reduce 80 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (193) ~ (all_0_19_19 = e1)
% 12.21/3.41 | (362) all_0_23_23 = e1
% 12.21/3.41 |
% 12.21/3.41 | Combining equations (268,362) yields a new equation:
% 12.21/3.41 | (303) e2 = e1
% 12.21/3.41 |
% 12.21/3.41 | Simplifying 303 yields:
% 12.21/3.41 | (253) e2 = e1
% 12.21/3.41 |
% 12.21/3.41 | Equations (253) can reduce 96 to:
% 12.21/3.41 | (186) $false
% 12.21/3.41 |
% 12.21/3.41 |-The branch is then unsatisfiable
% 12.21/3.41 |-Branch two:
% 12.21/3.41 | (354) ~ (all_0_8_8 = e0)
% 12.21/3.41 | (367) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 12.21/3.41 |
% 12.21/3.41 +-Applying beta-rule and splitting (367), into two cases.
% 12.21/3.41 |-Branch one:
% 12.21/3.41 | (368) all_0_9_9 = e0
% 12.21/3.41 |
% 12.21/3.42 | Equations (368) can reduce 327 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (327) ~ (all_0_9_9 = e0)
% 12.21/3.42 | (371) all_0_10_10 = e0 | all_0_11_11 = e0
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (58), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (372) all_0_9_9 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (372) can reduce 5 to:
% 12.21/3.42 | (373) ~ (all_0_8_8 = e2)
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (233), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (374) all_0_8_8 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (374) can reduce 373 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (373) ~ (all_0_8_8 = e2)
% 12.21/3.42 | (377) all_0_8_8 = e1 | all_0_8_8 = e0
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (377), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (238) all_0_8_8 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (238) can reduce 218 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (218) ~ (all_0_8_8 = e1)
% 12.21/3.42 | (330) all_0_8_8 = e0
% 12.21/3.42 |
% 12.21/3.42 | Equations (330) can reduce 354 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (383) ~ (all_0_9_9 = e2)
% 12.21/3.42 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (141), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (202) all_0_9_9 = e3
% 12.21/3.42 |
% 12.21/3.42 | Equations (202) can reduce 162 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (162) ~ (all_0_9_9 = e3)
% 12.21/3.42 | (388) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (388), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (372) all_0_9_9 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (372) can reduce 383 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (383) ~ (all_0_9_9 = e2)
% 12.21/3.42 | (392) all_0_9_9 = e1 | all_0_9_9 = e0
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (392), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (393) all_0_9_9 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (393) can reduce 208 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (208) ~ (all_0_9_9 = e1)
% 12.21/3.42 | (368) all_0_9_9 = e0
% 12.21/3.42 |
% 12.21/3.42 | Equations (368) can reduce 327 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (398) ~ (all_0_13_13 = e0)
% 12.21/3.42 | (399) all_0_14_14 = e0 | all_0_15_15 = e0
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (325), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (400) all_0_13_13 = e3
% 12.21/3.42 |
% 12.21/3.42 | Equations (400) can reduce 250 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (250) ~ (all_0_13_13 = e3)
% 12.21/3.42 | (403) all_0_14_14 = e3 | all_0_15_15 = e3
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (403), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (404) all_0_14_14 = e3
% 12.21/3.42 |
% 12.21/3.42 | Equations (404) can reduce 53 to:
% 12.21/3.42 | (250) ~ (all_0_13_13 = e3)
% 12.21/3.42 |
% 12.21/3.42 | Equations (404) can reduce 72 to:
% 12.21/3.42 | (406) ~ (all_0_18_18 = e3)
% 12.21/3.42 |
% 12.21/3.42 | Simplifying 406 yields:
% 12.21/3.42 | (407) ~ (all_0_18_18 = e3)
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (291), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (335) all_0_15_15 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (335) can reduce 60 to:
% 12.21/3.42 | (209) ~ (all_0_13_13 = e1)
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (307), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (410) all_0_18_18 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (410) can reduce 407 to:
% 12.21/3.42 | (411) ~ (e3 = e2)
% 12.21/3.42 |
% 12.21/3.42 | Simplifying 411 yields:
% 12.21/3.42 | (123) ~ (e3 = e2)
% 12.21/3.42 |
% 12.21/3.42 | Equations (410) can reduce 212 to:
% 12.21/3.42 | (96) ~ (e2 = e1)
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (95), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (400) all_0_13_13 = e3
% 12.21/3.42 |
% 12.21/3.42 | Equations (400) can reduce 250 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (250) ~ (all_0_13_13 = e3)
% 12.21/3.42 | (417) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (58), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (372) all_0_9_9 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (372) can reduce 69 to:
% 12.21/3.42 | (174) ~ (all_0_13_13 = e2)
% 12.21/3.42 |
% 12.21/3.42 | Simplifying 174 yields:
% 12.21/3.42 | (175) ~ (all_0_13_13 = e2)
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (417), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (421) all_0_13_13 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (421) can reduce 175 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (175) ~ (all_0_13_13 = e2)
% 12.21/3.42 | (424) all_0_13_13 = e1 | all_0_13_13 = e0
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (424), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (425) all_0_13_13 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (425) can reduce 209 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (209) ~ (all_0_13_13 = e1)
% 12.21/3.42 | (326) all_0_13_13 = e0
% 12.21/3.42 |
% 12.21/3.42 | Equations (326) can reduce 398 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (383) ~ (all_0_9_9 = e2)
% 12.21/3.42 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (384), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (421) all_0_13_13 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (421) can reduce 175 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (175) ~ (all_0_13_13 = e2)
% 12.21/3.42 | (435) all_0_17_17 = e2 | all_0_21_21 = e2
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (435), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (302) all_0_17_17 = e2
% 12.21/3.42 |
% 12.21/3.42 | Combining equations (206,302) yields a new equation:
% 12.21/3.42 | (253) e2 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (253) can reduce 96 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (306) ~ (all_0_17_17 = e2)
% 12.21/3.42 | (257) all_0_21_21 = e2
% 12.21/3.42 |
% 12.21/3.42 | Combining equations (257,248) yields a new equation:
% 12.21/3.42 | (259) e3 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (259) can reduce 123 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (443) ~ (all_0_18_18 = e2)
% 12.21/3.42 | (276) all_0_19_19 = e2
% 12.21/3.42 |
% 12.21/3.42 | Combining equations (283,276) yields a new equation:
% 12.21/3.42 | (265) e2 = e0
% 12.21/3.42 |
% 12.21/3.42 | Equations (265) can reduce 88 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (356) ~ (all_0_15_15 = e1)
% 12.21/3.42 | (357) all_0_19_19 = e1 | all_0_23_23 = e1
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (61), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (449) all_0_12_12 = e1
% 12.21/3.42 |
% 12.21/3.42 | Combining equations (449,172) yields a new equation:
% 12.21/3.42 | (253) e2 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (253) can reduce 96 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (452) ~ (all_0_12_12 = e1)
% 12.21/3.42 | (453) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (453), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (425) all_0_13_13 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (425) can reduce 209 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (209) ~ (all_0_13_13 = e1)
% 12.21/3.42 | (457) all_0_14_14 = e1 | all_0_15_15 = e1
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (457), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (458) all_0_14_14 = e1
% 12.21/3.42 |
% 12.21/3.42 | Combining equations (404,458) yields a new equation:
% 12.21/3.42 | (243) e3 = e1
% 12.21/3.42 |
% 12.21/3.42 | Simplifying 243 yields:
% 12.21/3.42 | (244) e3 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (244) can reduce 85 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (462) ~ (all_0_14_14 = e1)
% 12.21/3.42 | (335) all_0_15_15 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (335) can reduce 356 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (465) ~ (all_0_14_14 = e3)
% 12.21/3.42 | (310) all_0_15_15 = e3
% 12.21/3.42 |
% 12.21/3.42 | Equations (310) can reduce 165 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (468) ~ (all_0_16_16 = e3)
% 12.21/3.42 | (469) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (49), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (295) all_0_16_16 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (295) can reduce 179 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (179) ~ (all_0_16_16 = e2)
% 12.21/3.42 | (300) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (469), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (295) all_0_16_16 = e2
% 12.21/3.42 |
% 12.21/3.42 | Equations (295) can reduce 179 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (179) ~ (all_0_16_16 = e2)
% 12.21/3.42 | (477) all_0_16_16 = e1 | all_0_16_16 = e0
% 12.21/3.42 |
% 12.21/3.42 +-Applying beta-rule and splitting (477), into two cases.
% 12.21/3.42 |-Branch one:
% 12.21/3.42 | (478) all_0_16_16 = e1
% 12.21/3.42 |
% 12.21/3.42 | Equations (478) can reduce 185 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.42 |-Branch two:
% 12.21/3.42 | (185) ~ (all_0_16_16 = e1)
% 12.21/3.42 | (481) all_0_16_16 = e0
% 12.21/3.42 |
% 12.21/3.42 | Equations (481) can reduce 284 to:
% 12.21/3.42 | (186) $false
% 12.21/3.42 |
% 12.21/3.42 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (483) ~ (all_0_21_21 = e3)
% 12.21/3.43 | (484) all_0_22_22 = e3 | all_0_23_23 = e3
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (484), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (485) all_0_22_22 = e3
% 12.21/3.43 |
% 12.21/3.43 | Combining equations (485,192) yields a new equation:
% 12.21/3.43 | (486) e3 = e0
% 12.21/3.43 |
% 12.21/3.43 | Simplifying 486 yields:
% 12.21/3.43 | (487) e3 = e0
% 12.21/3.43 |
% 12.21/3.43 | Equations (487) can reduce 21 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (489) ~ (all_0_22_22 = e3)
% 12.21/3.43 | (234) all_0_23_23 = e3
% 12.21/3.43 |
% 12.21/3.43 | Equations (234) can reduce 169 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (492) ~ (all_0_20_20 = e1)
% 12.21/3.43 | (493) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (46), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (242) all_0_20_20 = e3
% 12.21/3.43 |
% 12.21/3.43 | Equations (242) can reduce 45 to:
% 12.21/3.43 | (495) ~ (all_0_21_21 = e3)
% 12.21/3.43 |
% 12.21/3.43 | Simplifying 495 yields:
% 12.21/3.43 | (483) ~ (all_0_21_21 = e3)
% 12.21/3.43 |
% 12.21/3.43 | Equations (242) can reduce 42 to:
% 12.21/3.43 | (168) ~ (all_0_23_23 = e3)
% 12.21/3.43 |
% 12.21/3.43 | Simplifying 168 yields:
% 12.21/3.43 | (169) ~ (all_0_23_23 = e3)
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (67), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (238) all_0_8_8 = e1
% 12.21/3.43 |
% 12.21/3.43 | Equations (238) can reduce 76 to:
% 12.21/3.43 | (500) ~ (all_0_10_10 = e1)
% 12.21/3.43 |
% 12.21/3.43 | Simplifying 500 yields:
% 12.21/3.43 | (501) ~ (all_0_10_10 = e1)
% 12.21/3.43 |
% 12.21/3.43 | From (238) and (113) follows:
% 12.21/3.43 | (502) op(e3, e3) = e1
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (493), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (503) all_0_21_21 = e1
% 12.21/3.43 |
% 12.21/3.43 | Equations (503) can reduce 216 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (216) ~ (all_0_21_21 = e1)
% 12.21/3.43 | (506) all_0_22_22 = e1 | all_0_23_23 = e1
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (506), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (507) all_0_22_22 = e1
% 12.21/3.43 |
% 12.21/3.43 | Combining equations (507,192) yields a new equation:
% 12.21/3.43 | (508) e1 = e0
% 12.21/3.43 |
% 12.21/3.43 | Simplifying 508 yields:
% 12.21/3.43 | (359) e1 = e0
% 12.21/3.43 |
% 12.21/3.43 | Equations (359) can reduce 80 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (511) ~ (all_0_22_22 = e1)
% 12.21/3.43 | (362) all_0_23_23 = e1
% 12.21/3.43 |
% 12.21/3.43 | Equations (362) can reduce 199 to:
% 12.21/3.43 | (80) ~ (e1 = e0)
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (36), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (330) all_0_8_8 = e0
% 12.21/3.43 |
% 12.21/3.43 | Combining equations (330,238) yields a new equation:
% 12.21/3.43 | (359) e1 = e0
% 12.21/3.43 |
% 12.21/3.43 | Equations (359) can reduce 80 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (354) ~ (all_0_8_8 = e0)
% 12.21/3.43 | (518) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (79), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (184) all_0_10_10 = e3
% 12.21/3.43 |
% 12.21/3.43 | Equations (184) can reduce 163 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (163) ~ (all_0_10_10 = e3)
% 12.21/3.43 | (522) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (522), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (523) all_0_10_10 = e2
% 12.21/3.43 |
% 12.21/3.43 | Equations (523) can reduce 9 to:
% 12.21/3.43 | (524) ~ (all_0_18_18 = e2)
% 12.21/3.43 |
% 12.21/3.43 | Simplifying 524 yields:
% 12.21/3.43 | (443) ~ (all_0_18_18 = e2)
% 12.21/3.43 |
% 12.21/3.43 | Equations (523) can reduce 194 to:
% 12.21/3.43 | (88) ~ (e2 = e0)
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (132), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (527) all_0_18_18 = e3
% 12.21/3.43 |
% 12.21/3.43 | Equations (527) can reduce 212 to:
% 12.21/3.43 | (85) ~ (e3 = e1)
% 12.21/3.43 |
% 12.21/3.43 | Equations (527) can reduce 195 to:
% 12.21/3.43 | (21) ~ (e3 = e0)
% 12.21/3.43 |
% 12.21/3.43 | From (527) and (12) follows:
% 12.21/3.43 | (530) op(all_0_3_3, e3) = all_0_2_2
% 12.21/3.43 |
% 12.21/3.43 | From (527)(527) and (77) follows:
% 12.21/3.43 | (531) op(e3, e3) = all_0_3_3
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (143), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (248) all_0_21_21 = e3
% 12.21/3.43 |
% 12.21/3.43 | Equations (248) can reduce 483 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (483) ~ (all_0_21_21 = e3)
% 12.21/3.43 | (535) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (135), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (202) all_0_9_9 = e3
% 12.21/3.43 |
% 12.21/3.43 | Equations (202) can reduce 162 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (162) ~ (all_0_9_9 = e3)
% 12.21/3.43 | (539) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (518), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (314) all_0_12_12 = e0
% 12.21/3.43 |
% 12.21/3.43 | Combining equations (314,172) yields a new equation:
% 12.21/3.43 | (265) e2 = e0
% 12.21/3.43 |
% 12.21/3.43 | Equations (265) can reduce 88 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (317) ~ (all_0_12_12 = e0)
% 12.21/3.43 | (544) all_0_16_16 = e0 | all_0_20_20 = e0
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (544), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (481) all_0_16_16 = e0
% 12.21/3.43 |
% 12.21/3.43 | From (481) and (50) follows:
% 12.21/3.43 | (546) op(e1, e3) = e0
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (539), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (400) all_0_13_13 = e3
% 12.21/3.43 |
% 12.21/3.43 | From (400) and (130) follows:
% 12.21/3.43 | (548) op(all_0_7_7, e3) = all_0_6_6
% 12.21/3.43 |
% 12.21/3.43 | From (400)(400) and (56) follows:
% 12.21/3.43 | (549) op(e3, e3) = all_0_7_7
% 12.21/3.43 |
% 12.21/3.43 | Instantiating formula (35) with e3, e3, all_0_7_7, all_0_3_3 and discharging atoms op(e3, e3) = all_0_3_3, op(e3, e3) = all_0_7_7, yields:
% 12.21/3.43 | (550) all_0_3_3 = all_0_7_7
% 12.21/3.43 |
% 12.21/3.43 | Instantiating formula (35) with e3, e3, e1, all_0_3_3 and discharging atoms op(e3, e3) = all_0_3_3, op(e3, e3) = e1, yields:
% 12.21/3.43 | (551) all_0_3_3 = e1
% 12.21/3.43 |
% 12.21/3.43 | Combining equations (550,551) yields a new equation:
% 12.21/3.43 | (552) all_0_7_7 = e1
% 12.21/3.43 |
% 12.21/3.43 | Simplifying 552 yields:
% 12.21/3.43 | (553) all_0_7_7 = e1
% 12.21/3.43 |
% 12.21/3.43 | From (551) and (530) follows:
% 12.21/3.43 | (554) op(e1, e3) = all_0_2_2
% 12.21/3.43 |
% 12.21/3.43 | From (553) and (548) follows:
% 12.21/3.43 | (555) op(e1, e3) = all_0_6_6
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (127), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (556) ~ (all_0_6_6 = e0)
% 12.21/3.43 |
% 12.21/3.43 | Instantiating formula (35) with e1, e3, all_0_2_2, e0 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = e0, yields:
% 12.21/3.43 | (557) all_0_2_2 = e0
% 12.21/3.43 |
% 12.21/3.43 | Instantiating formula (35) with e1, e3, all_0_6_6, all_0_2_2 and discharging atoms op(e1, e3) = all_0_2_2, op(e1, e3) = all_0_6_6, yields:
% 12.21/3.43 | (558) all_0_2_2 = all_0_6_6
% 12.21/3.43 |
% 12.21/3.43 | Combining equations (557,558) yields a new equation:
% 12.21/3.43 | (559) all_0_6_6 = e0
% 12.21/3.43 |
% 12.21/3.43 | Equations (559) can reduce 556 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (559) all_0_6_6 = e0
% 12.21/3.43 | (562) ~ (all_0_7_7 = e1) | ~ (all_0_13_13 = e3)
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (562), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (563) ~ (all_0_7_7 = e1)
% 12.21/3.43 |
% 12.21/3.43 | Equations (553) can reduce 563 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (553) all_0_7_7 = e1
% 12.21/3.43 | (250) ~ (all_0_13_13 = e3)
% 12.21/3.43 |
% 12.21/3.43 | Equations (400) can reduce 250 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (250) ~ (all_0_13_13 = e3)
% 12.21/3.43 | (569) all_0_17_17 = e3 | all_0_21_21 = e3
% 12.21/3.43 |
% 12.21/3.43 +-Applying beta-rule and splitting (569), into two cases.
% 12.21/3.43 |-Branch one:
% 12.21/3.43 | (570) all_0_17_17 = e3
% 12.21/3.43 |
% 12.21/3.43 | Combining equations (206,570) yields a new equation:
% 12.21/3.43 | (244) e3 = e1
% 12.21/3.43 |
% 12.21/3.43 | Equations (244) can reduce 85 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (573) ~ (all_0_17_17 = e3)
% 12.21/3.43 | (248) all_0_21_21 = e3
% 12.21/3.43 |
% 12.21/3.43 | Equations (248) can reduce 483 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.43 |-Branch two:
% 12.21/3.43 | (284) ~ (all_0_16_16 = e0)
% 12.21/3.43 | (577) all_0_20_20 = e0
% 12.21/3.43 |
% 12.21/3.43 | Combining equations (577,242) yields a new equation:
% 12.21/3.43 | (487) e3 = e0
% 12.21/3.43 |
% 12.21/3.43 | Equations (487) can reduce 21 to:
% 12.21/3.43 | (186) $false
% 12.21/3.43 |
% 12.21/3.43 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (407) ~ (all_0_18_18 = e3)
% 12.21/3.44 | (581) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (581), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (410) all_0_18_18 = e2
% 12.21/3.44 |
% 12.21/3.44 | Equations (410) can reduce 443 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (443) ~ (all_0_18_18 = e2)
% 12.21/3.44 | (585) all_0_18_18 = e1 | all_0_18_18 = e0
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (585), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (586) all_0_18_18 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (586) can reduce 212 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (212) ~ (all_0_18_18 = e1)
% 12.21/3.44 | (589) all_0_18_18 = e0
% 12.21/3.44 |
% 12.21/3.44 | Equations (589) can reduce 195 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (591) ~ (all_0_10_10 = e2)
% 12.21/3.44 | (592) all_0_10_10 = e1 | all_0_10_10 = e0
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (592), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (593) all_0_10_10 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (593) can reduce 501 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (501) ~ (all_0_10_10 = e1)
% 12.21/3.44 | (596) all_0_10_10 = e0
% 12.21/3.44 |
% 12.21/3.44 | Equations (596) can reduce 194 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (218) ~ (all_0_8_8 = e1)
% 12.21/3.44 | (599) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (493), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (503) all_0_21_21 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (503) can reduce 216 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (216) ~ (all_0_21_21 = e1)
% 12.21/3.44 | (506) all_0_22_22 = e1 | all_0_23_23 = e1
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (506), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (507) all_0_22_22 = e1
% 12.21/3.44 |
% 12.21/3.44 | Combining equations (507,192) yields a new equation:
% 12.21/3.44 | (508) e1 = e0
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 508 yields:
% 12.21/3.44 | (359) e1 = e0
% 12.21/3.44 |
% 12.21/3.44 | Equations (359) can reduce 80 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (511) ~ (all_0_22_22 = e1)
% 12.21/3.44 | (362) all_0_23_23 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (362) can reduce 169 to:
% 12.21/3.44 | (610) ~ (e3 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 610 yields:
% 12.21/3.44 | (85) ~ (e3 = e1)
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (599), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (449) all_0_12_12 = e1
% 12.21/3.44 |
% 12.21/3.44 | Combining equations (449,172) yields a new equation:
% 12.21/3.44 | (253) e2 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (253) can reduce 96 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (452) ~ (all_0_12_12 = e1)
% 12.21/3.44 | (616) all_0_16_16 = e1 | all_0_20_20 = e1
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (616), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (478) all_0_16_16 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (478) can reduce 185 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (185) ~ (all_0_16_16 = e1)
% 12.21/3.44 | (217) all_0_20_20 = e1
% 12.21/3.44 |
% 12.21/3.44 | Combining equations (242,217) yields a new equation:
% 12.21/3.44 | (243) e3 = e1
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 243 yields:
% 12.21/3.44 | (244) e3 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (244) can reduce 85 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (246) ~ (all_0_20_20 = e3)
% 12.21/3.44 | (625) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (67), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (238) all_0_8_8 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (238) can reduce 149 to:
% 12.21/3.44 | (627) ~ (all_0_20_20 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 627 yields:
% 12.21/3.44 | (492) ~ (all_0_20_20 = e1)
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (625), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (252) all_0_20_20 = e2
% 12.21/3.44 |
% 12.21/3.44 | Equations (252) can reduce 181 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (181) ~ (all_0_20_20 = e2)
% 12.21/3.44 | (632) all_0_20_20 = e1 | all_0_20_20 = e0
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (632), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (217) all_0_20_20 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (217) can reduce 492 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (492) ~ (all_0_20_20 = e1)
% 12.21/3.44 | (577) all_0_20_20 = e0
% 12.21/3.44 |
% 12.21/3.44 | Equations (577) can reduce 160 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (218) ~ (all_0_8_8 = e1)
% 12.21/3.44 | (599) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (599), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (449) all_0_12_12 = e1
% 12.21/3.44 |
% 12.21/3.44 | Combining equations (172,449) yields a new equation:
% 12.21/3.44 | (303) e2 = e1
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 303 yields:
% 12.21/3.44 | (253) e2 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (253) can reduce 96 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (452) ~ (all_0_12_12 = e1)
% 12.21/3.44 | (616) all_0_16_16 = e1 | all_0_20_20 = e1
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (616), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (478) all_0_16_16 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (478) can reduce 185 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (185) ~ (all_0_16_16 = e1)
% 12.21/3.44 | (217) all_0_20_20 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (217) can reduce 492 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (651) all_0_21_21 = e0 & ~ (all_0_15_15 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Applying alpha-rule on (651) yields:
% 12.21/3.44 | (652) all_0_21_21 = e0
% 12.21/3.44 | (653) ~ (all_0_15_15 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Equations (652) can reduce 197 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (655) all_0_16_16 = e1 & ~ (all_0_10_10 = e3)
% 12.21/3.44 |
% 12.21/3.44 | Applying alpha-rule on (655) yields:
% 12.21/3.44 | (478) all_0_16_16 = e1
% 12.21/3.44 | (163) ~ (all_0_10_10 = e3)
% 12.21/3.44 |
% 12.21/3.44 | Equations (478) can reduce 65 to:
% 12.21/3.44 | (218) ~ (all_0_8_8 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Equations (478) can reduce 37 to:
% 12.21/3.44 | (452) ~ (all_0_12_12 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Equations (478) can reduce 92 to:
% 12.21/3.44 | (660) ~ (all_0_17_17 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 660 yields:
% 12.21/3.44 | (189) ~ (all_0_17_17 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Equations (478) can reduce 24 to:
% 12.21/3.44 | (213) ~ (all_0_19_19 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 213 yields:
% 12.21/3.44 | (193) ~ (all_0_19_19 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Equations (478) can reduce 82 to:
% 12.21/3.44 | (627) ~ (all_0_20_20 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 627 yields:
% 12.21/3.44 | (492) ~ (all_0_20_20 = e1)
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (119), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (200) (all_0_9_9 = e3 & ~ (all_0_12_12 = e2)) | (all_0_17_17 = e1 & ~ (all_0_14_14 = e2))
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (200), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (201) all_0_9_9 = e3 & ~ (all_0_12_12 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Applying alpha-rule on (201) yields:
% 12.21/3.44 | (202) all_0_9_9 = e3
% 12.21/3.44 | (203) ~ (all_0_12_12 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Equations (202) can reduce 162 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (205) all_0_17_17 = e1 & ~ (all_0_14_14 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Applying alpha-rule on (205) yields:
% 12.21/3.44 | (206) all_0_17_17 = e1
% 12.21/3.44 | (177) ~ (all_0_14_14 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Equations (206) can reduce 189 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (651) all_0_21_21 = e0 & ~ (all_0_15_15 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Applying alpha-rule on (651) yields:
% 12.21/3.44 | (652) all_0_21_21 = e0
% 12.21/3.44 | (653) ~ (all_0_15_15 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Equations (652) can reduce 100 to:
% 12.21/3.44 | (327) ~ (all_0_9_9 = e0)
% 12.21/3.44 |
% 12.21/3.44 | Equations (652) can reduce 93 to:
% 12.21/3.44 | (398) ~ (all_0_13_13 = e0)
% 12.21/3.44 |
% 12.21/3.44 | Equations (652) can reduce 140 to:
% 12.21/3.44 | (680) ~ (all_0_17_17 = e0)
% 12.21/3.44 |
% 12.21/3.44 | Equations (652) can reduce 45 to:
% 12.21/3.44 | (160) ~ (all_0_20_20 = e0)
% 12.21/3.44 |
% 12.21/3.44 | Equations (652) can reduce 2 to:
% 12.21/3.44 | (682) ~ (all_0_22_22 = e0)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 682 yields:
% 12.21/3.44 | (683) ~ (all_0_22_22 = e0)
% 12.21/3.44 |
% 12.21/3.44 | Equations (652) can reduce 146 to:
% 12.21/3.44 | (198) ~ (all_0_23_23 = e0)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 198 yields:
% 12.21/3.44 | (199) ~ (all_0_23_23 = e0)
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (73), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (182) (all_0_10_10 = e3 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = e2 & ~ (all_0_17_17 = e1))
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (182), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (183) all_0_10_10 = e3 & ~ (all_0_16_16 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Applying alpha-rule on (183) yields:
% 12.21/3.44 | (184) all_0_10_10 = e3
% 12.21/3.44 | (185) ~ (all_0_16_16 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Equations (478) can reduce 185 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (187) all_0_14_14 = e2 & ~ (all_0_17_17 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Applying alpha-rule on (187) yields:
% 12.21/3.44 | (188) all_0_14_14 = e2
% 12.21/3.44 | (189) ~ (all_0_17_17 = e1)
% 12.21/3.44 |
% 12.21/3.44 | Equations (188) can reduce 22 to:
% 12.21/3.44 | (591) ~ (all_0_10_10 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Equations (188) can reduce 53 to:
% 12.21/3.44 | (175) ~ (all_0_13_13 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Equations (188) can reduce 59 to:
% 12.21/3.44 | (696) ~ (all_0_15_15 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 696 yields:
% 12.21/3.44 | (653) ~ (all_0_15_15 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Equations (188) can reduce 72 to:
% 12.21/3.44 | (524) ~ (all_0_18_18 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 524 yields:
% 12.21/3.44 | (443) ~ (all_0_18_18 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Equations (188) can reduce 68 to:
% 12.21/3.44 | (700) ~ (all_0_22_22 = e2)
% 12.21/3.44 |
% 12.21/3.44 | Simplifying 700 yields:
% 12.21/3.44 | (267) ~ (all_0_22_22 = e2)
% 12.21/3.44 |
% 12.21/3.44 +-Applying beta-rule and splitting (34), into two cases.
% 12.21/3.44 |-Branch one:
% 12.21/3.44 | (217) all_0_20_20 = e1
% 12.21/3.44 |
% 12.21/3.44 | Equations (217) can reduce 492 to:
% 12.21/3.44 | (186) $false
% 12.21/3.44 |
% 12.21/3.44 |-The branch is then unsatisfiable
% 12.21/3.44 |-Branch two:
% 12.21/3.44 | (492) ~ (all_0_20_20 = e1)
% 12.21/3.45 | (493) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (148), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (481) all_0_16_16 = e0
% 12.21/3.45 |
% 12.21/3.45 | Combining equations (478,481) yields a new equation:
% 12.21/3.45 | (508) e1 = e0
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 508 yields:
% 12.21/3.45 | (359) e1 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (359) can reduce 80 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (284) ~ (all_0_16_16 = e0)
% 12.21/3.45 | (711) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (150), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (485) all_0_22_22 = e3
% 12.21/3.45 |
% 12.21/3.45 | Equations (485) can reduce 91 to:
% 12.21/3.45 | (407) ~ (all_0_18_18 = e3)
% 12.21/3.45 |
% 12.21/3.45 | Equations (485) can reduce 121 to:
% 12.21/3.45 | (246) ~ (all_0_20_20 = e3)
% 12.21/3.45 |
% 12.21/3.45 | Equations (485) can reduce 31 to:
% 12.21/3.45 | (168) ~ (all_0_23_23 = e3)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 168 yields:
% 12.21/3.45 | (169) ~ (all_0_23_23 = e3)
% 12.21/3.45 |
% 12.21/3.45 | Equations (485) can reduce 267 to:
% 12.21/3.45 | (123) ~ (e3 = e2)
% 12.21/3.45 |
% 12.21/3.45 | From (485) and (147) follows:
% 12.21/3.45 | (718) op(e0, e1) = e3
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (46), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (242) all_0_20_20 = e3
% 12.21/3.45 |
% 12.21/3.45 | Equations (242) can reduce 246 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (246) ~ (all_0_20_20 = e3)
% 12.21/3.45 | (625) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (16), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (593) all_0_10_10 = e1
% 12.21/3.45 |
% 12.21/3.45 | Equations (593) can reduce 76 to:
% 12.21/3.45 | (218) ~ (all_0_8_8 = e1)
% 12.21/3.45 |
% 12.21/3.45 | Equations (593) can reduce 7 to:
% 12.21/3.45 | (208) ~ (all_0_9_9 = e1)
% 12.21/3.45 |
% 12.21/3.45 | Equations (593) can reduce 9 to:
% 12.21/3.45 | (211) ~ (all_0_18_18 = e1)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 211 yields:
% 12.21/3.45 | (212) ~ (all_0_18_18 = e1)
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (625), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (252) all_0_20_20 = e2
% 12.21/3.45 |
% 12.21/3.45 | Equations (252) can reduce 149 to:
% 12.21/3.45 | (373) ~ (all_0_8_8 = e2)
% 12.21/3.45 |
% 12.21/3.45 | Equations (252) can reduce 81 to:
% 12.21/3.45 | (203) ~ (all_0_12_12 = e2)
% 12.21/3.45 |
% 12.21/3.45 | Equations (252) can reduce 42 to:
% 12.21/3.45 | (731) ~ (all_0_23_23 = e2)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 731 yields:
% 12.21/3.45 | (732) ~ (all_0_23_23 = e2)
% 12.21/3.45 |
% 12.21/3.45 | Equations (252) can reduce 246 to:
% 12.21/3.45 | (411) ~ (e3 = e2)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 411 yields:
% 12.21/3.45 | (123) ~ (e3 = e2)
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (142), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (234) all_0_23_23 = e3
% 12.21/3.45 |
% 12.21/3.45 | Equations (234) can reduce 169 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (169) ~ (all_0_23_23 = e3)
% 12.21/3.45 | (237) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (23), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (374) all_0_8_8 = e2
% 12.21/3.45 |
% 12.21/3.45 | Equations (374) can reduce 373 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (373) ~ (all_0_8_8 = e2)
% 12.21/3.45 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (141), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (202) all_0_9_9 = e3
% 12.21/3.45 |
% 12.21/3.45 | Equations (202) can reduce 162 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (162) ~ (all_0_9_9 = e3)
% 12.21/3.45 | (388) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (237), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (268) all_0_23_23 = e2
% 12.21/3.45 |
% 12.21/3.45 | Equations (268) can reduce 732 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (732) ~ (all_0_23_23 = e2)
% 12.21/3.45 | (750) all_0_23_23 = e1 | all_0_23_23 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (152), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (226) all_0_8_8 = e3
% 12.21/3.45 |
% 12.21/3.45 | Equations (226) can reduce 161 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (161) ~ (all_0_8_8 = e3)
% 12.21/3.45 | (233) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (87), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (330) all_0_8_8 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (330) can reduce 5 to:
% 12.21/3.45 | (756) ~ (all_0_9_9 = e0)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 756 yields:
% 12.21/3.45 | (327) ~ (all_0_9_9 = e0)
% 12.21/3.45 |
% 12.21/3.45 | Equations (330) can reduce 105 to:
% 12.21/3.45 | (758) ~ (all_0_12_12 = e0)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 758 yields:
% 12.21/3.45 | (317) ~ (all_0_12_12 = e0)
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (71), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (314) all_0_12_12 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (314) can reduce 317 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (317) ~ (all_0_12_12 = e0)
% 12.21/3.45 | (318) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (742), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (372) all_0_9_9 = e2
% 12.21/3.45 |
% 12.21/3.45 | Equations (372) can reduce 25 to:
% 12.21/3.45 | (765) ~ (all_0_17_17 = e2)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 765 yields:
% 12.21/3.45 | (306) ~ (all_0_17_17 = e2)
% 12.21/3.45 |
% 12.21/3.45 | Equations (372) can reduce 208 to:
% 12.21/3.45 | (96) ~ (e2 = e1)
% 12.21/3.45 |
% 12.21/3.45 | Equations (372) can reduce 327 to:
% 12.21/3.45 | (88) ~ (e2 = e0)
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (107), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (570) all_0_17_17 = e3
% 12.21/3.45 |
% 12.21/3.45 | Equations (570) can reduce 48 to:
% 12.21/3.45 | (250) ~ (all_0_13_13 = e3)
% 12.21/3.45 |
% 12.21/3.45 | Equations (570) can reduce 120 to:
% 12.21/3.45 | (166) ~ (all_0_19_19 = e3)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 166 yields:
% 12.21/3.45 | (167) ~ (all_0_19_19 = e3)
% 12.21/3.45 |
% 12.21/3.45 | Equations (570) can reduce 306 to:
% 12.21/3.45 | (123) ~ (e3 = e2)
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (106), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (320) all_0_12_12 = e3
% 12.21/3.45 |
% 12.21/3.45 | Equations (320) can reduce 39 to:
% 12.21/3.45 | (164) ~ (all_0_15_15 = e3)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 164 yields:
% 12.21/3.45 | (165) ~ (all_0_15_15 = e3)
% 12.21/3.45 |
% 12.21/3.45 | Equations (320) can reduce 203 to:
% 12.21/3.45 | (123) ~ (e3 = e2)
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (318), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (326) all_0_13_13 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (326) can reduce 398 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (398) ~ (all_0_13_13 = e0)
% 12.21/3.45 | (399) all_0_14_14 = e0 | all_0_15_15 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (399), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (782) all_0_14_14 = e0
% 12.21/3.45 |
% 12.21/3.45 | Combining equations (188,782) yields a new equation:
% 12.21/3.45 | (264) e2 = e0
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 264 yields:
% 12.21/3.45 | (265) e2 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (265) can reduce 88 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (786) ~ (all_0_14_14 = e0)
% 12.21/3.45 | (787) all_0_15_15 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (787) can reduce 60 to:
% 12.21/3.45 | (398) ~ (all_0_13_13 = e0)
% 12.21/3.45 |
% 12.21/3.45 | Equations (787) can reduce 84 to:
% 12.21/3.45 | (789) ~ (all_0_19_19 = e0)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 789 yields:
% 12.21/3.45 | (790) ~ (all_0_19_19 = e0)
% 12.21/3.45 |
% 12.21/3.45 | Equations (787) can reduce 20 to:
% 12.21/3.45 | (198) ~ (all_0_23_23 = e0)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 198 yields:
% 12.21/3.45 | (199) ~ (all_0_23_23 = e0)
% 12.21/3.45 |
% 12.21/3.45 | Equations (787) can reduce 165 to:
% 12.21/3.45 | (793) ~ (e3 = e0)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 793 yields:
% 12.21/3.45 | (21) ~ (e3 = e0)
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (49), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (295) all_0_16_16 = e2
% 12.21/3.45 |
% 12.21/3.45 | Combining equations (478,295) yields a new equation:
% 12.21/3.45 | (253) e2 = e1
% 12.21/3.45 |
% 12.21/3.45 | Equations (253) can reduce 96 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (179) ~ (all_0_16_16 = e2)
% 12.21/3.45 | (300) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (104), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (272) all_0_19_19 = e3
% 12.21/3.45 |
% 12.21/3.45 | Equations (272) can reduce 167 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (167) ~ (all_0_19_19 = e3)
% 12.21/3.45 | (275) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (750), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (362) all_0_23_23 = e1
% 12.21/3.45 |
% 12.21/3.45 | Equations (362) can reduce 26 to:
% 12.21/3.45 | (193) ~ (all_0_19_19 = e1)
% 12.21/3.45 |
% 12.21/3.45 | Equations (362) can reduce 169 to:
% 12.21/3.45 | (610) ~ (e3 = e1)
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 610 yields:
% 12.21/3.45 | (85) ~ (e3 = e1)
% 12.21/3.45 |
% 12.21/3.45 | Equations (362) can reduce 199 to:
% 12.21/3.45 | (80) ~ (e1 = e0)
% 12.21/3.45 |
% 12.21/3.45 | From (362) and (44) follows:
% 12.21/3.45 | (809) op(all_0_1_1, e1) = all_0_0_0
% 12.21/3.45 |
% 12.21/3.45 | From (362)(362) and (116) follows:
% 12.21/3.45 | (810) op(e1, e1) = all_0_1_1
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (275), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (276) all_0_19_19 = e2
% 12.21/3.45 |
% 12.21/3.45 | Equations (276) can reduce 193 to:
% 12.21/3.45 | (96) ~ (e2 = e1)
% 12.21/3.45 |
% 12.21/3.45 | Equations (276) can reduce 790 to:
% 12.21/3.45 | (88) ~ (e2 = e0)
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (61), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (449) all_0_12_12 = e1
% 12.21/3.45 |
% 12.21/3.45 | Combining equations (449,320) yields a new equation:
% 12.21/3.45 | (244) e3 = e1
% 12.21/3.45 |
% 12.21/3.45 | Equations (244) can reduce 85 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (452) ~ (all_0_12_12 = e1)
% 12.21/3.45 | (453) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (453), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (425) all_0_13_13 = e1
% 12.21/3.45 |
% 12.21/3.45 | Equations (425) can reduce 398 to:
% 12.21/3.45 | (80) ~ (e1 = e0)
% 12.21/3.45 |
% 12.21/3.45 | From (425) and (130) follows:
% 12.21/3.45 | (821) op(all_0_7_7, e1) = all_0_6_6
% 12.21/3.45 |
% 12.21/3.45 | From (425)(425) and (56) follows:
% 12.21/3.45 | (822) op(e1, e1) = all_0_7_7
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (711), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (823) all_0_17_17 = e0
% 12.21/3.45 |
% 12.21/3.45 | Combining equations (570,823) yields a new equation:
% 12.21/3.45 | (486) e3 = e0
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 486 yields:
% 12.21/3.45 | (487) e3 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (487) can reduce 21 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (680) ~ (all_0_17_17 = e0)
% 12.21/3.45 | (828) all_0_18_18 = e0 | all_0_19_19 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (111), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (596) all_0_10_10 = e0
% 12.21/3.45 |
% 12.21/3.45 | Combining equations (593,596) yields a new equation:
% 12.21/3.45 | (508) e1 = e0
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 508 yields:
% 12.21/3.45 | (359) e1 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (359) can reduce 80 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (194) ~ (all_0_10_10 = e0)
% 12.21/3.45 | (834) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (834), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (782) all_0_14_14 = e0
% 12.21/3.45 |
% 12.21/3.45 | Combining equations (188,782) yields a new equation:
% 12.21/3.45 | (264) e2 = e0
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 264 yields:
% 12.21/3.45 | (265) e2 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (265) can reduce 88 to:
% 12.21/3.45 | (186) $false
% 12.21/3.45 |
% 12.21/3.45 |-The branch is then unsatisfiable
% 12.21/3.45 |-Branch two:
% 12.21/3.45 | (786) ~ (all_0_14_14 = e0)
% 12.21/3.45 | (840) all_0_18_18 = e0 | all_0_22_22 = e0
% 12.21/3.45 |
% 12.21/3.45 | Equations (188) can reduce 786 to:
% 12.21/3.45 | (88) ~ (e2 = e0)
% 12.21/3.45 |
% 12.21/3.45 +-Applying beta-rule and splitting (828), into two cases.
% 12.21/3.45 |-Branch one:
% 12.21/3.45 | (589) all_0_18_18 = e0
% 12.21/3.45 |
% 12.21/3.45 | From (589) and (30) follows:
% 12.21/3.45 | (843) op(e1, e1) = e0
% 12.21/3.45 |
% 12.21/3.45 | Instantiating formula (35) with e1, e1, all_0_7_7, all_0_1_1 and discharging atoms op(e1, e1) = all_0_1_1, op(e1, e1) = all_0_7_7, yields:
% 12.21/3.45 | (844) all_0_1_1 = all_0_7_7
% 12.21/3.45 |
% 12.21/3.45 | Instantiating formula (35) with e1, e1, e0, all_0_1_1 and discharging atoms op(e1, e1) = all_0_1_1, op(e1, e1) = e0, yields:
% 12.21/3.45 | (845) all_0_1_1 = e0
% 12.21/3.45 |
% 12.21/3.45 | Combining equations (844,845) yields a new equation:
% 12.21/3.45 | (846) all_0_7_7 = e0
% 12.21/3.45 |
% 12.21/3.45 | Simplifying 846 yields:
% 12.21/3.45 | (847) all_0_7_7 = e0
% 12.21/3.45 |
% 12.21/3.45 | From (845) and (809) follows:
% 12.21/3.45 | (848) op(e0, e1) = all_0_0_0
% 12.21/3.45 |
% 12.21/3.45 | From (847) and (821) follows:
% 12.21/3.45 | (849) op(e0, e1) = all_0_6_6
% 12.21/3.46 |
% 12.21/3.46 +-Applying beta-rule and splitting (38), into two cases.
% 12.21/3.46 |-Branch one:
% 12.21/3.46 | (850) ~ (all_0_6_6 = e3)
% 12.21/3.46 |
% 12.21/3.46 | Instantiating formula (35) with e0, e1, all_0_0_0, e3 and discharging atoms op(e0, e1) = all_0_0_0, op(e0, e1) = e3, yields:
% 12.21/3.46 | (851) all_0_0_0 = e3
% 12.21/3.46 |
% 12.21/3.46 | Instantiating formula (35) with e0, e1, all_0_6_6, all_0_0_0 and discharging atoms op(e0, e1) = all_0_0_0, op(e0, e1) = all_0_6_6, yields:
% 12.21/3.46 | (852) all_0_0_0 = all_0_6_6
% 12.21/3.46 |
% 12.21/3.46 | Combining equations (851,852) yields a new equation:
% 12.21/3.46 | (853) all_0_6_6 = e3
% 12.21/3.46 |
% 12.57/3.46 | Equations (853) can reduce 850 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (853) all_0_6_6 = e3
% 12.57/3.46 | (856) ~ (all_0_7_7 = e0) | ~ (all_0_13_13 = e1)
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (856), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (857) ~ (all_0_7_7 = e0)
% 12.57/3.46 |
% 12.57/3.46 | Equations (847) can reduce 857 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (847) all_0_7_7 = e0
% 12.57/3.46 | (209) ~ (all_0_13_13 = e1)
% 12.57/3.46 |
% 12.57/3.46 | Equations (425) can reduce 209 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (195) ~ (all_0_18_18 = e0)
% 12.57/3.46 | (283) all_0_19_19 = e0
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (276,283) yields a new equation:
% 12.57/3.46 | (264) e2 = e0
% 12.57/3.46 |
% 12.57/3.46 | Simplifying 264 yields:
% 12.57/3.46 | (265) e2 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (265) can reduce 88 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (209) ~ (all_0_13_13 = e1)
% 12.57/3.46 | (457) all_0_14_14 = e1 | all_0_15_15 = e1
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (457), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (458) all_0_14_14 = e1
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (458,188) yields a new equation:
% 12.57/3.46 | (253) e2 = e1
% 12.57/3.46 |
% 12.57/3.46 | Equations (253) can reduce 96 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (462) ~ (all_0_14_14 = e1)
% 12.57/3.46 | (335) all_0_15_15 = e1
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (787,335) yields a new equation:
% 12.57/3.46 | (359) e1 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (359) can reduce 80 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (269) ~ (all_0_19_19 = e2)
% 12.57/3.46 | (279) all_0_19_19 = e1 | all_0_19_19 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (300), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (302) all_0_17_17 = e2
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (570,302) yields a new equation:
% 12.57/3.46 | (258) e3 = e2
% 12.57/3.46 |
% 12.57/3.46 | Simplifying 258 yields:
% 12.57/3.46 | (259) e3 = e2
% 12.57/3.46 |
% 12.57/3.46 | Equations (259) can reduce 123 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (306) ~ (all_0_17_17 = e2)
% 12.57/3.46 | (307) all_0_18_18 = e2 | all_0_19_19 = e2
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (307), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (410) all_0_18_18 = e2
% 12.57/3.46 |
% 12.57/3.46 | Equations (410) can reduce 443 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (443) ~ (all_0_18_18 = e2)
% 12.57/3.46 | (276) all_0_19_19 = e2
% 12.57/3.46 |
% 12.57/3.46 | Equations (276) can reduce 269 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (223) ~ (all_0_23_23 = e1)
% 12.57/3.46 | (890) all_0_23_23 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (890) can reduce 199 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (324) ~ (all_0_12_12 = e3)
% 12.57/3.46 | (325) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (318), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (326) all_0_13_13 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (326) can reduce 398 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (398) ~ (all_0_13_13 = e0)
% 12.57/3.46 | (399) all_0_14_14 = e0 | all_0_15_15 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (325), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (400) all_0_13_13 = e3
% 12.57/3.46 |
% 12.57/3.46 | Equations (400) can reduce 250 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (250) ~ (all_0_13_13 = e3)
% 12.57/3.46 | (403) all_0_14_14 = e3 | all_0_15_15 = e3
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (399), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (782) all_0_14_14 = e0
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (188,782) yields a new equation:
% 12.57/3.46 | (264) e2 = e0
% 12.57/3.46 |
% 12.57/3.46 | Simplifying 264 yields:
% 12.57/3.46 | (265) e2 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (265) can reduce 88 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (786) ~ (all_0_14_14 = e0)
% 12.57/3.46 | (787) all_0_15_15 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (787) can reduce 165 to:
% 12.57/3.46 | (793) ~ (e3 = e0)
% 12.57/3.46 |
% 12.57/3.46 | Simplifying 793 yields:
% 12.57/3.46 | (21) ~ (e3 = e0)
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (403), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (404) all_0_14_14 = e3
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (404,188) yields a new equation:
% 12.57/3.46 | (258) e3 = e2
% 12.57/3.46 |
% 12.57/3.46 | Simplifying 258 yields:
% 12.57/3.46 | (259) e3 = e2
% 12.57/3.46 |
% 12.57/3.46 | Equations (259) can reduce 123 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (465) ~ (all_0_14_14 = e3)
% 12.57/3.46 | (310) all_0_15_15 = e3
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (787,310) yields a new equation:
% 12.57/3.46 | (487) e3 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (487) can reduce 21 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (573) ~ (all_0_17_17 = e3)
% 12.57/3.46 | (919) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (919), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (302) all_0_17_17 = e2
% 12.57/3.46 |
% 12.57/3.46 | Equations (302) can reduce 306 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (306) ~ (all_0_17_17 = e2)
% 12.57/3.46 | (923) all_0_17_17 = e1 | all_0_17_17 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (923), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (206) all_0_17_17 = e1
% 12.57/3.46 |
% 12.57/3.46 | Equations (206) can reduce 189 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (189) ~ (all_0_17_17 = e1)
% 12.57/3.46 | (823) all_0_17_17 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (823) can reduce 680 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (383) ~ (all_0_9_9 = e2)
% 12.57/3.46 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (750), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (362) all_0_23_23 = e1
% 12.57/3.46 |
% 12.57/3.46 | Equations (362) can reduce 20 to:
% 12.57/3.46 | (356) ~ (all_0_15_15 = e1)
% 12.57/3.46 |
% 12.57/3.46 | Equations (362) can reduce 732 to:
% 12.57/3.46 | (224) ~ (e2 = e1)
% 12.57/3.46 |
% 12.57/3.46 | Simplifying 224 yields:
% 12.57/3.46 | (96) ~ (e2 = e1)
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (97), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (310) all_0_15_15 = e3
% 12.57/3.46 |
% 12.57/3.46 | Equations (310) can reduce 165 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (165) ~ (all_0_15_15 = e3)
% 12.57/3.46 | (313) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (313), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (939) all_0_15_15 = e2
% 12.57/3.46 |
% 12.57/3.46 | Equations (939) can reduce 653 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (653) ~ (all_0_15_15 = e2)
% 12.57/3.46 | (942) all_0_15_15 = e1 | all_0_15_15 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (942), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (335) all_0_15_15 = e1
% 12.57/3.46 |
% 12.57/3.46 | Equations (335) can reduce 356 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (356) ~ (all_0_15_15 = e1)
% 12.57/3.46 | (787) all_0_15_15 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (787) can reduce 356 to:
% 12.57/3.46 | (331) ~ (e1 = e0)
% 12.57/3.46 |
% 12.57/3.46 | Simplifying 331 yields:
% 12.57/3.46 | (80) ~ (e1 = e0)
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (61), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (449) all_0_12_12 = e1
% 12.57/3.46 |
% 12.57/3.46 | Equations (449) can reduce 452 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (452) ~ (all_0_12_12 = e1)
% 12.57/3.46 | (453) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (453), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (425) all_0_13_13 = e1
% 12.57/3.46 |
% 12.57/3.46 | Equations (425) can reduce 175 to:
% 12.57/3.46 | (224) ~ (e2 = e1)
% 12.57/3.46 |
% 12.57/3.46 | Simplifying 224 yields:
% 12.57/3.46 | (96) ~ (e2 = e1)
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (930), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (523) all_0_10_10 = e2
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (523,593) yields a new equation:
% 12.57/3.46 | (303) e2 = e1
% 12.57/3.46 |
% 12.57/3.46 | Simplifying 303 yields:
% 12.57/3.46 | (253) e2 = e1
% 12.57/3.46 |
% 12.57/3.46 | Equations (253) can reduce 96 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (591) ~ (all_0_10_10 = e2)
% 12.57/3.46 | (961) all_0_11_11 = e2
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (961,159) yields a new equation:
% 12.57/3.46 | (259) e3 = e2
% 12.57/3.46 |
% 12.57/3.46 | Equations (259) can reduce 123 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (209) ~ (all_0_13_13 = e1)
% 12.57/3.46 | (457) all_0_14_14 = e1 | all_0_15_15 = e1
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (457), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (458) all_0_14_14 = e1
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (458,188) yields a new equation:
% 12.57/3.46 | (253) e2 = e1
% 12.57/3.46 |
% 12.57/3.46 | Equations (253) can reduce 96 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (462) ~ (all_0_14_14 = e1)
% 12.57/3.46 | (335) all_0_15_15 = e1
% 12.57/3.46 |
% 12.57/3.46 | Combining equations (787,335) yields a new equation:
% 12.57/3.46 | (359) e1 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (359) can reduce 80 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (223) ~ (all_0_23_23 = e1)
% 12.57/3.46 | (890) all_0_23_23 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (890) can reduce 199 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (354) ~ (all_0_8_8 = e0)
% 12.57/3.46 | (367) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (36), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (330) all_0_8_8 = e0
% 12.57/3.46 |
% 12.57/3.46 | Equations (330) can reduce 354 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (354) ~ (all_0_8_8 = e0)
% 12.57/3.46 | (518) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (132), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (527) all_0_18_18 = e3
% 12.57/3.46 |
% 12.57/3.46 | Equations (527) can reduce 407 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (407) ~ (all_0_18_18 = e3)
% 12.57/3.46 | (581) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (388), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (372) all_0_9_9 = e2
% 12.57/3.46 |
% 12.57/3.46 | Equations (372) can reduce 5 to:
% 12.57/3.46 | (373) ~ (all_0_8_8 = e2)
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (581), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (410) all_0_18_18 = e2
% 12.57/3.46 |
% 12.57/3.46 | Equations (410) can reduce 443 to:
% 12.57/3.46 | (186) $false
% 12.57/3.46 |
% 12.57/3.46 |-The branch is then unsatisfiable
% 12.57/3.46 |-Branch two:
% 12.57/3.46 | (443) ~ (all_0_18_18 = e2)
% 12.57/3.46 | (585) all_0_18_18 = e1 | all_0_18_18 = e0
% 12.57/3.46 |
% 12.57/3.46 +-Applying beta-rule and splitting (585), into two cases.
% 12.57/3.46 |-Branch one:
% 12.57/3.46 | (586) all_0_18_18 = e1
% 12.57/3.46 |
% 12.57/3.47 | Equations (586) can reduce 212 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (212) ~ (all_0_18_18 = e1)
% 12.57/3.47 | (589) all_0_18_18 = e0
% 12.57/3.47 |
% 12.57/3.47 | Equations (589) can reduce 443 to:
% 12.57/3.47 | (285) ~ (e2 = e0)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 285 yields:
% 12.57/3.47 | (88) ~ (e2 = e0)
% 12.57/3.47 |
% 12.57/3.47 | Equations (589) can reduce 212 to:
% 12.57/3.47 | (331) ~ (e1 = e0)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 331 yields:
% 12.57/3.47 | (80) ~ (e1 = e0)
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (518), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (314) all_0_12_12 = e0
% 12.57/3.47 |
% 12.57/3.47 | Equations (314) can reduce 105 to:
% 12.57/3.47 | (354) ~ (all_0_8_8 = e0)
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (233), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (374) all_0_8_8 = e2
% 12.57/3.47 |
% 12.57/3.47 | Equations (374) can reduce 373 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (373) ~ (all_0_8_8 = e2)
% 12.57/3.47 | (377) all_0_8_8 = e1 | all_0_8_8 = e0
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (377), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (238) all_0_8_8 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (238) can reduce 218 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (218) ~ (all_0_8_8 = e1)
% 12.57/3.47 | (330) all_0_8_8 = e0
% 12.57/3.47 |
% 12.57/3.47 | Equations (330) can reduce 354 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (317) ~ (all_0_12_12 = e0)
% 12.57/3.47 | (544) all_0_16_16 = e0 | all_0_20_20 = e0
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (544), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (481) all_0_16_16 = e0
% 12.57/3.47 |
% 12.57/3.47 | Combining equations (478,481) yields a new equation:
% 12.57/3.47 | (508) e1 = e0
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 508 yields:
% 12.57/3.47 | (359) e1 = e0
% 12.57/3.47 |
% 12.57/3.47 | Equations (359) can reduce 80 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (284) ~ (all_0_16_16 = e0)
% 12.57/3.47 | (577) all_0_20_20 = e0
% 12.57/3.47 |
% 12.57/3.47 | Combining equations (577,252) yields a new equation:
% 12.57/3.47 | (265) e2 = e0
% 12.57/3.47 |
% 12.57/3.47 | Equations (265) can reduce 88 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (383) ~ (all_0_9_9 = e2)
% 12.57/3.47 | (392) all_0_9_9 = e1 | all_0_9_9 = e0
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (392), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (393) all_0_9_9 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (393) can reduce 208 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (208) ~ (all_0_9_9 = e1)
% 12.57/3.47 | (368) all_0_9_9 = e0
% 12.57/3.47 |
% 12.57/3.47 | Equations (368) can reduce 327 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (181) ~ (all_0_20_20 = e2)
% 12.57/3.47 | (632) all_0_20_20 = e1 | all_0_20_20 = e0
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (632), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (217) all_0_20_20 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (217) can reduce 492 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (492) ~ (all_0_20_20 = e1)
% 12.57/3.47 | (577) all_0_20_20 = e0
% 12.57/3.47 |
% 12.57/3.47 | Equations (577) can reduce 160 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (501) ~ (all_0_10_10 = e1)
% 12.57/3.47 | (1036) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (154), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (238) all_0_8_8 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (238) can reduce 218 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (218) ~ (all_0_8_8 = e1)
% 12.57/3.47 | (241) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (241), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (393) all_0_9_9 = e1
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (23), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (374) all_0_8_8 = e2
% 12.57/3.47 |
% 12.57/3.47 | Equations (374) can reduce 149 to:
% 12.57/3.47 | (180) ~ (all_0_20_20 = e2)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 180 yields:
% 12.57/3.47 | (181) ~ (all_0_20_20 = e2)
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (625), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (252) all_0_20_20 = e2
% 12.57/3.47 |
% 12.57/3.47 | Equations (252) can reduce 181 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (181) ~ (all_0_20_20 = e2)
% 12.57/3.47 | (632) all_0_20_20 = e1 | all_0_20_20 = e0
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (632), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (217) all_0_20_20 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (217) can reduce 492 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (492) ~ (all_0_20_20 = e1)
% 12.57/3.47 | (577) all_0_20_20 = e0
% 12.57/3.47 |
% 12.57/3.47 | Equations (577) can reduce 160 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (373) ~ (all_0_8_8 = e2)
% 12.57/3.47 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (742), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (372) all_0_9_9 = e2
% 12.57/3.47 |
% 12.57/3.47 | Combining equations (372,393) yields a new equation:
% 12.57/3.47 | (303) e2 = e1
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 303 yields:
% 12.57/3.47 | (253) e2 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (253) can reduce 96 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (383) ~ (all_0_9_9 = e2)
% 12.57/3.47 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (930), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (523) all_0_10_10 = e2
% 12.57/3.47 |
% 12.57/3.47 | Equations (523) can reduce 591 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (591) ~ (all_0_10_10 = e2)
% 12.57/3.47 | (961) all_0_11_11 = e2
% 12.57/3.47 |
% 12.57/3.47 | Combining equations (159,961) yields a new equation:
% 12.57/3.47 | (258) e3 = e2
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 258 yields:
% 12.57/3.47 | (259) e3 = e2
% 12.57/3.47 |
% 12.57/3.47 | Equations (259) can reduce 123 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (208) ~ (all_0_9_9 = e1)
% 12.57/3.47 | (1070) all_0_10_10 = e1 | all_0_11_11 = e1
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (1070), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (593) all_0_10_10 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (593) can reduce 501 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (501) ~ (all_0_10_10 = e1)
% 12.57/3.47 | (287) all_0_11_11 = e1
% 12.57/3.47 |
% 12.57/3.47 | Combining equations (287,159) yields a new equation:
% 12.57/3.47 | (244) e3 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (244) can reduce 85 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (489) ~ (all_0_22_22 = e3)
% 12.57/3.47 | (1078) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (43), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (184) all_0_10_10 = e3
% 12.57/3.47 |
% 12.57/3.47 | Equations (184) can reduce 163 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (163) ~ (all_0_10_10 = e3)
% 12.57/3.47 | (1082) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (1078), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (263) all_0_22_22 = e2
% 12.57/3.47 |
% 12.57/3.47 | Equations (263) can reduce 267 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (267) ~ (all_0_22_22 = e2)
% 12.57/3.47 | (1086) all_0_22_22 = e1 | all_0_22_22 = e0
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (1086), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (507) all_0_22_22 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (507) can reduce 27 to:
% 12.57/3.47 | (501) ~ (all_0_10_10 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Equations (507) can reduce 91 to:
% 12.57/3.47 | (212) ~ (all_0_18_18 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Equations (507) can reduce 31 to:
% 12.57/3.47 | (222) ~ (all_0_23_23 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 222 yields:
% 12.57/3.47 | (223) ~ (all_0_23_23 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Equations (507) can reduce 489 to:
% 12.57/3.47 | (610) ~ (e3 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 610 yields:
% 12.57/3.47 | (85) ~ (e3 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Equations (507) can reduce 267 to:
% 12.57/3.47 | (224) ~ (e2 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 224 yields:
% 12.57/3.47 | (96) ~ (e2 = e1)
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (1082), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (404) all_0_14_14 = e3
% 12.57/3.47 |
% 12.57/3.47 | Combining equations (404,188) yields a new equation:
% 12.57/3.47 | (258) e3 = e2
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 258 yields:
% 12.57/3.47 | (259) e3 = e2
% 12.57/3.47 |
% 12.57/3.47 | Equations (259) can reduce 123 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (465) ~ (all_0_14_14 = e3)
% 12.57/3.47 | (1101) all_0_18_18 = e3 | all_0_22_22 = e3
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (1101), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (527) all_0_18_18 = e3
% 12.57/3.47 |
% 12.57/3.47 | Equations (527) can reduce 115 to:
% 12.57/3.47 | (573) ~ (all_0_17_17 = e3)
% 12.57/3.47 |
% 12.57/3.47 | Equations (527) can reduce 136 to:
% 12.57/3.47 | (166) ~ (all_0_19_19 = e3)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 166 yields:
% 12.57/3.47 | (167) ~ (all_0_19_19 = e3)
% 12.57/3.47 |
% 12.57/3.47 | Equations (527) can reduce 212 to:
% 12.57/3.47 | (85) ~ (e3 = e1)
% 12.57/3.47 |
% 12.57/3.47 | From (527) and (12) follows:
% 12.57/3.47 | (530) op(all_0_3_3, e3) = all_0_2_2
% 12.57/3.47 |
% 12.57/3.47 | From (527)(527) and (77) follows:
% 12.57/3.47 | (531) op(e3, e3) = all_0_3_3
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (154), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (238) all_0_8_8 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (238) can reduce 218 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (218) ~ (all_0_8_8 = e1)
% 12.57/3.47 | (241) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (117), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (287) all_0_11_11 = e1
% 12.57/3.47 |
% 12.57/3.47 | Combining equations (287,159) yields a new equation:
% 12.57/3.47 | (244) e3 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (244) can reduce 85 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (290) ~ (all_0_11_11 = e1)
% 12.57/3.47 | (291) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (135), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (202) all_0_9_9 = e3
% 12.57/3.47 |
% 12.57/3.47 | Equations (202) can reduce 162 to:
% 12.57/3.47 | (186) $false
% 12.57/3.47 |
% 12.57/3.47 |-The branch is then unsatisfiable
% 12.57/3.47 |-Branch two:
% 12.57/3.47 | (162) ~ (all_0_9_9 = e3)
% 12.57/3.47 | (539) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (241), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (393) all_0_9_9 = e1
% 12.57/3.47 |
% 12.57/3.47 | Equations (393) can reduce 69 to:
% 12.57/3.47 | (1123) ~ (all_0_13_13 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 1123 yields:
% 12.57/3.47 | (209) ~ (all_0_13_13 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Equations (393) can reduce 25 to:
% 12.57/3.47 | (660) ~ (all_0_17_17 = e1)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 660 yields:
% 12.57/3.47 | (189) ~ (all_0_17_17 = e1)
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (23), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (374) all_0_8_8 = e2
% 12.57/3.47 |
% 12.57/3.47 | From (374) and (113) follows:
% 12.57/3.47 | (1128) op(e3, e3) = e2
% 12.57/3.47 |
% 12.57/3.47 +-Applying beta-rule and splitting (539), into two cases.
% 12.57/3.47 |-Branch one:
% 12.57/3.47 | (400) all_0_13_13 = e3
% 12.57/3.47 |
% 12.57/3.47 | Equations (400) can reduce 60 to:
% 12.57/3.47 | (164) ~ (all_0_15_15 = e3)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 164 yields:
% 12.57/3.47 | (165) ~ (all_0_15_15 = e3)
% 12.57/3.47 |
% 12.57/3.47 | Equations (400) can reduce 48 to:
% 12.57/3.47 | (1132) ~ (all_0_17_17 = e3)
% 12.57/3.47 |
% 12.57/3.47 | Simplifying 1132 yields:
% 12.57/3.48 | (573) ~ (all_0_17_17 = e3)
% 12.57/3.48 |
% 12.57/3.48 | Equations (400) can reduce 209 to:
% 12.57/3.48 | (85) ~ (e3 = e1)
% 12.57/3.48 |
% 12.57/3.48 | From (400) and (130) follows:
% 12.57/3.48 | (548) op(all_0_7_7, e3) = all_0_6_6
% 12.57/3.48 |
% 12.57/3.48 | From (400)(400) and (56) follows:
% 12.57/3.48 | (549) op(e3, e3) = all_0_7_7
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (61), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (449) all_0_12_12 = e1
% 12.57/3.48 |
% 12.57/3.48 | Equations (449) can reduce 452 to:
% 12.57/3.48 | (186) $false
% 12.57/3.48 |
% 12.57/3.48 |-The branch is then unsatisfiable
% 12.57/3.48 |-Branch two:
% 12.57/3.48 | (452) ~ (all_0_12_12 = e1)
% 12.57/3.48 | (453) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (107), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (570) all_0_17_17 = e3
% 12.57/3.48 |
% 12.57/3.48 | Equations (570) can reduce 573 to:
% 12.57/3.48 | (186) $false
% 12.57/3.48 |
% 12.57/3.48 |-The branch is then unsatisfiable
% 12.57/3.48 |-Branch two:
% 12.57/3.48 | (573) ~ (all_0_17_17 = e3)
% 12.57/3.48 | (919) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (919), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (302) all_0_17_17 = e2
% 12.57/3.48 |
% 12.57/3.48 | Equations (302) can reduce 120 to:
% 12.57/3.48 | (1146) ~ (all_0_19_19 = e2)
% 12.57/3.48 |
% 12.57/3.48 | Simplifying 1146 yields:
% 12.57/3.48 | (269) ~ (all_0_19_19 = e2)
% 12.57/3.48 |
% 12.57/3.48 | Equations (302) can reduce 189 to:
% 12.57/3.48 | (96) ~ (e2 = e1)
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (104), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (272) all_0_19_19 = e3
% 12.57/3.48 |
% 12.57/3.48 | Equations (272) can reduce 167 to:
% 12.57/3.48 | (186) $false
% 12.57/3.48 |
% 12.57/3.48 |-The branch is then unsatisfiable
% 12.57/3.48 |-Branch two:
% 12.57/3.48 | (167) ~ (all_0_19_19 = e3)
% 12.57/3.48 | (275) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (63), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (242) all_0_20_20 = e3
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (275), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (276) all_0_19_19 = e2
% 12.57/3.48 |
% 12.57/3.48 | Equations (276) can reduce 269 to:
% 12.57/3.48 | (186) $false
% 12.57/3.48 |
% 12.57/3.48 |-The branch is then unsatisfiable
% 12.57/3.48 |-Branch two:
% 12.57/3.48 | (269) ~ (all_0_19_19 = e2)
% 12.57/3.48 | (279) all_0_19_19 = e1 | all_0_19_19 = e0
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (279), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (280) all_0_19_19 = e1
% 12.57/3.48 |
% 12.57/3.48 | Equations (280) can reduce 193 to:
% 12.57/3.48 | (186) $false
% 12.57/3.48 |
% 12.57/3.48 |-The branch is then unsatisfiable
% 12.57/3.48 |-Branch two:
% 12.57/3.48 | (193) ~ (all_0_19_19 = e1)
% 12.57/3.48 | (283) all_0_19_19 = e0
% 12.57/3.48 |
% 12.57/3.48 | Equations (283) can reduce 84 to:
% 12.57/3.48 | (1162) ~ (all_0_15_15 = e0)
% 12.57/3.48 |
% 12.57/3.48 | Equations (283) can reduce 167 to:
% 12.57/3.48 | (793) ~ (e3 = e0)
% 12.57/3.48 |
% 12.57/3.48 | Simplifying 793 yields:
% 12.57/3.48 | (21) ~ (e3 = e0)
% 12.57/3.48 |
% 12.57/3.48 | Equations (283) can reduce 269 to:
% 12.57/3.48 | (285) ~ (e2 = e0)
% 12.57/3.48 |
% 12.57/3.48 | Simplifying 285 yields:
% 12.57/3.48 | (88) ~ (e2 = e0)
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (97), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (310) all_0_15_15 = e3
% 12.57/3.48 |
% 12.57/3.48 | Equations (310) can reduce 165 to:
% 12.57/3.48 | (186) $false
% 12.57/3.48 |
% 12.57/3.48 |-The branch is then unsatisfiable
% 12.57/3.48 |-Branch two:
% 12.57/3.48 | (165) ~ (all_0_15_15 = e3)
% 12.57/3.48 | (313) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (313), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (939) all_0_15_15 = e2
% 12.57/3.48 |
% 12.57/3.48 | Equations (939) can reduce 653 to:
% 12.57/3.48 | (186) $false
% 12.57/3.48 |
% 12.57/3.48 |-The branch is then unsatisfiable
% 12.57/3.48 |-Branch two:
% 12.57/3.48 | (653) ~ (all_0_15_15 = e2)
% 12.57/3.48 | (942) all_0_15_15 = e1 | all_0_15_15 = e0
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (942), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (335) all_0_15_15 = e1
% 12.57/3.48 |
% 12.57/3.48 | Equations (335) can reduce 1162 to:
% 12.57/3.48 | (80) ~ (e1 = e0)
% 12.57/3.48 |
% 12.57/3.48 +-Applying beta-rule and splitting (71), into two cases.
% 12.57/3.48 |-Branch one:
% 12.57/3.48 | (314) all_0_12_12 = e0
% 12.57/3.48 |
% 12.57/3.48 | From (314) and (90) follows:
% 12.57/3.48 | (1178) op(e2, e3) = e0
% 12.57/3.48 |
% 12.57/3.48 | Instantiating formula (35) with e3, e3, all_0_7_7, all_0_3_3 and discharging atoms op(e3, e3) = all_0_3_3, op(e3, e3) = all_0_7_7, yields:
% 12.57/3.48 | (550) all_0_3_3 = all_0_7_7
% 12.57/3.48 |
% 12.57/3.48 | Instantiating formula (35) with e3, e3, e2, all_0_3_3 and discharging atoms op(e3, e3) = all_0_3_3, op(e3, e3) = e2, yields:
% 12.57/3.48 | (1180) all_0_3_3 = e2
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (550,1180) yields a new equation:
% 12.68/3.48 | (339) all_0_7_7 = e2
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 339 yields:
% 12.68/3.48 | (340) all_0_7_7 = e2
% 12.68/3.48 |
% 12.68/3.48 | From (1180) and (530) follows:
% 12.68/3.48 | (1183) op(e2, e3) = all_0_2_2
% 12.68/3.48 |
% 12.68/3.48 | From (340) and (548) follows:
% 12.68/3.48 | (1184) op(e2, e3) = all_0_6_6
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (54), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (1185) ~ (all_0_2_2 = e0)
% 12.68/3.48 |
% 12.68/3.48 | Instantiating formula (35) with e2, e3, all_0_2_2, e0 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = e0, yields:
% 12.68/3.48 | (557) all_0_2_2 = e0
% 12.68/3.48 |
% 12.68/3.48 | Instantiating formula (35) with e2, e3, all_0_6_6, all_0_2_2 and discharging atoms op(e2, e3) = all_0_2_2, op(e2, e3) = all_0_6_6, yields:
% 12.68/3.48 | (558) all_0_2_2 = all_0_6_6
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (557,558) yields a new equation:
% 12.68/3.48 | (559) all_0_6_6 = e0
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (559,558) yields a new equation:
% 12.68/3.48 | (557) all_0_2_2 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (557) can reduce 1185 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (557) all_0_2_2 = e0
% 12.68/3.48 | (1192) ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e3)
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (1192), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (1193) ~ (all_0_3_3 = e2)
% 12.68/3.48 |
% 12.68/3.48 | Equations (1180) can reduce 1193 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (1180) all_0_3_3 = e2
% 12.68/3.48 | (407) ~ (all_0_18_18 = e3)
% 12.68/3.48 |
% 12.68/3.48 | Equations (527) can reduce 407 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (317) ~ (all_0_12_12 = e0)
% 12.68/3.48 | (318) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (318), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (326) all_0_13_13 = e0
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (326,400) yields a new equation:
% 12.68/3.48 | (487) e3 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (487) can reduce 21 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (398) ~ (all_0_13_13 = e0)
% 12.68/3.48 | (399) all_0_14_14 = e0 | all_0_15_15 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (400) can reduce 398 to:
% 12.68/3.48 | (21) ~ (e3 = e0)
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (36), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (330) all_0_8_8 = e0
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (330,374) yields a new equation:
% 12.68/3.48 | (265) e2 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (265) can reduce 88 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (354) ~ (all_0_8_8 = e0)
% 12.68/3.48 | (518) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (518), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (314) all_0_12_12 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (314) can reduce 317 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (317) ~ (all_0_12_12 = e0)
% 12.68/3.48 | (544) all_0_16_16 = e0 | all_0_20_20 = e0
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (544), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (481) all_0_16_16 = e0
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (478,481) yields a new equation:
% 12.68/3.48 | (508) e1 = e0
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 508 yields:
% 12.68/3.48 | (359) e1 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (359) can reduce 80 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (284) ~ (all_0_16_16 = e0)
% 12.68/3.48 | (577) all_0_20_20 = e0
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (242,577) yields a new equation:
% 12.68/3.48 | (486) e3 = e0
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 486 yields:
% 12.68/3.48 | (487) e3 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (487) can reduce 21 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (356) ~ (all_0_15_15 = e1)
% 12.68/3.48 | (787) all_0_15_15 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (787) can reduce 1162 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (246) ~ (all_0_20_20 = e3)
% 12.68/3.48 | (247) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (453), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (425) all_0_13_13 = e1
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (425,400) yields a new equation:
% 12.68/3.48 | (244) e3 = e1
% 12.68/3.48 |
% 12.68/3.48 | Equations (244) can reduce 85 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (209) ~ (all_0_13_13 = e1)
% 12.68/3.48 | (457) all_0_14_14 = e1 | all_0_15_15 = e1
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (457), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (458) all_0_14_14 = e1
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (188,458) yields a new equation:
% 12.68/3.48 | (303) e2 = e1
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 303 yields:
% 12.68/3.48 | (253) e2 = e1
% 12.68/3.48 |
% 12.68/3.48 | Equations (253) can reduce 96 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (462) ~ (all_0_14_14 = e1)
% 12.68/3.48 | (335) all_0_15_15 = e1
% 12.68/3.48 |
% 12.68/3.48 | Equations (335) can reduce 84 to:
% 12.68/3.48 | (213) ~ (all_0_19_19 = e1)
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 213 yields:
% 12.68/3.48 | (193) ~ (all_0_19_19 = e1)
% 12.68/3.48 |
% 12.68/3.48 | Equations (335) can reduce 20 to:
% 12.68/3.48 | (222) ~ (all_0_23_23 = e1)
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 222 yields:
% 12.68/3.48 | (223) ~ (all_0_23_23 = e1)
% 12.68/3.48 |
% 12.68/3.48 | Equations (335) can reduce 165 to:
% 12.68/3.48 | (610) ~ (e3 = e1)
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 610 yields:
% 12.68/3.48 | (85) ~ (e3 = e1)
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (142), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (234) all_0_23_23 = e3
% 12.68/3.48 |
% 12.68/3.48 | Equations (234) can reduce 169 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (169) ~ (all_0_23_23 = e3)
% 12.68/3.48 | (237) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (237), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (268) all_0_23_23 = e2
% 12.68/3.48 |
% 12.68/3.48 | Equations (268) can reduce 26 to:
% 12.68/3.48 | (269) ~ (all_0_19_19 = e2)
% 12.68/3.48 |
% 12.68/3.48 | Equations (268) can reduce 169 to:
% 12.68/3.48 | (411) ~ (e3 = e2)
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 411 yields:
% 12.68/3.48 | (123) ~ (e3 = e2)
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (275), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (276) all_0_19_19 = e2
% 12.68/3.48 |
% 12.68/3.48 | Equations (276) can reduce 269 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (269) ~ (all_0_19_19 = e2)
% 12.68/3.48 | (279) all_0_19_19 = e1 | all_0_19_19 = e0
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (279), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (280) all_0_19_19 = e1
% 12.68/3.48 |
% 12.68/3.48 | Equations (280) can reduce 193 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (193) ~ (all_0_19_19 = e1)
% 12.68/3.48 | (283) all_0_19_19 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (283) can reduce 167 to:
% 12.68/3.48 | (793) ~ (e3 = e0)
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 793 yields:
% 12.68/3.48 | (21) ~ (e3 = e0)
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (247), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (248) all_0_21_21 = e3
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (652,248) yields a new equation:
% 12.68/3.48 | (487) e3 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (487) can reduce 21 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (483) ~ (all_0_21_21 = e3)
% 12.68/3.48 | (484) all_0_22_22 = e3 | all_0_23_23 = e3
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (484), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (485) all_0_22_22 = e3
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (507,485) yields a new equation:
% 12.68/3.48 | (244) e3 = e1
% 12.68/3.48 |
% 12.68/3.48 | Equations (244) can reduce 85 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (489) ~ (all_0_22_22 = e3)
% 12.68/3.48 | (234) all_0_23_23 = e3
% 12.68/3.48 |
% 12.68/3.48 | Combining equations (234,268) yields a new equation:
% 12.68/3.48 | (258) e3 = e2
% 12.68/3.48 |
% 12.68/3.48 | Simplifying 258 yields:
% 12.68/3.48 | (259) e3 = e2
% 12.68/3.48 |
% 12.68/3.48 | Equations (259) can reduce 123 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (732) ~ (all_0_23_23 = e2)
% 12.68/3.48 | (750) all_0_23_23 = e1 | all_0_23_23 = e0
% 12.68/3.48 |
% 12.68/3.48 +-Applying beta-rule and splitting (750), into two cases.
% 12.68/3.48 |-Branch one:
% 12.68/3.48 | (362) all_0_23_23 = e1
% 12.68/3.48 |
% 12.68/3.48 | Equations (362) can reduce 223 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.48 |-Branch two:
% 12.68/3.48 | (223) ~ (all_0_23_23 = e1)
% 12.68/3.48 | (890) all_0_23_23 = e0
% 12.68/3.48 |
% 12.68/3.48 | Equations (890) can reduce 199 to:
% 12.68/3.48 | (186) $false
% 12.68/3.48 |
% 12.68/3.48 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (306) ~ (all_0_17_17 = e2)
% 12.68/3.49 | (923) all_0_17_17 = e1 | all_0_17_17 = e0
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (923), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (206) all_0_17_17 = e1
% 12.68/3.49 |
% 12.68/3.49 | Equations (206) can reduce 189 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (189) ~ (all_0_17_17 = e1)
% 12.68/3.49 | (823) all_0_17_17 = e0
% 12.68/3.49 |
% 12.68/3.49 | Equations (823) can reduce 680 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (250) ~ (all_0_13_13 = e3)
% 12.68/3.49 | (569) all_0_17_17 = e3 | all_0_21_21 = e3
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (569), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (570) all_0_17_17 = e3
% 12.68/3.49 |
% 12.68/3.49 | Equations (570) can reduce 573 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (573) ~ (all_0_17_17 = e3)
% 12.68/3.49 | (248) all_0_21_21 = e3
% 12.68/3.49 |
% 12.68/3.49 | Combining equations (652,248) yields a new equation:
% 12.68/3.49 | (487) e3 = e0
% 12.68/3.49 |
% 12.68/3.49 | Equations (487) can reduce 21 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (373) ~ (all_0_8_8 = e2)
% 12.68/3.49 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (539), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (400) all_0_13_13 = e3
% 12.68/3.49 |
% 12.68/3.49 | Equations (400) can reduce 175 to:
% 12.68/3.49 | (123) ~ (e3 = e2)
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (742), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (372) all_0_9_9 = e2
% 12.68/3.49 |
% 12.68/3.49 | Combining equations (372,393) yields a new equation:
% 12.68/3.49 | (303) e2 = e1
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 303 yields:
% 12.68/3.49 | (253) e2 = e1
% 12.68/3.49 |
% 12.68/3.49 | Equations (253) can reduce 96 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (383) ~ (all_0_9_9 = e2)
% 12.68/3.49 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (930), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (523) all_0_10_10 = e2
% 12.68/3.49 |
% 12.68/3.49 | Equations (523) can reduce 591 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (591) ~ (all_0_10_10 = e2)
% 12.68/3.49 | (961) all_0_11_11 = e2
% 12.68/3.49 |
% 12.68/3.49 | Combining equations (961,159) yields a new equation:
% 12.68/3.49 | (259) e3 = e2
% 12.68/3.49 |
% 12.68/3.49 | Equations (259) can reduce 123 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (250) ~ (all_0_13_13 = e3)
% 12.68/3.49 | (569) all_0_17_17 = e3 | all_0_21_21 = e3
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (569), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (570) all_0_17_17 = e3
% 12.68/3.49 |
% 12.68/3.49 | Equations (570) can reduce 573 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (573) ~ (all_0_17_17 = e3)
% 12.68/3.49 | (248) all_0_21_21 = e3
% 12.68/3.49 |
% 12.68/3.49 | Combining equations (652,248) yields a new equation:
% 12.68/3.49 | (487) e3 = e0
% 12.68/3.49 |
% 12.68/3.49 | Equations (487) can reduce 21 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (208) ~ (all_0_9_9 = e1)
% 12.68/3.49 | (1070) all_0_10_10 = e1 | all_0_11_11 = e1
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (539), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (400) all_0_13_13 = e3
% 12.68/3.49 |
% 12.68/3.49 | Equations (400) can reduce 60 to:
% 12.68/3.49 | (164) ~ (all_0_15_15 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 164 yields:
% 12.68/3.49 | (165) ~ (all_0_15_15 = e3)
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (291), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (335) all_0_15_15 = e1
% 12.68/3.49 |
% 12.68/3.49 | Equations (335) can reduce 165 to:
% 12.68/3.49 | (610) ~ (e3 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 610 yields:
% 12.68/3.49 | (85) ~ (e3 = e1)
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (1070), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (593) all_0_10_10 = e1
% 12.68/3.49 |
% 12.68/3.49 | Equations (593) can reduce 501 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (501) ~ (all_0_10_10 = e1)
% 12.68/3.49 | (287) all_0_11_11 = e1
% 12.68/3.49 |
% 12.68/3.49 | Combining equations (287,159) yields a new equation:
% 12.68/3.49 | (244) e3 = e1
% 12.68/3.49 |
% 12.68/3.49 | Equations (244) can reduce 85 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (356) ~ (all_0_15_15 = e1)
% 12.68/3.49 | (357) all_0_19_19 = e1 | all_0_23_23 = e1
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (357), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (280) all_0_19_19 = e1
% 12.68/3.49 |
% 12.68/3.49 | Equations (280) can reduce 193 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (193) ~ (all_0_19_19 = e1)
% 12.68/3.49 | (362) all_0_23_23 = e1
% 12.68/3.49 |
% 12.68/3.49 | Equations (362) can reduce 223 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (250) ~ (all_0_13_13 = e3)
% 12.68/3.49 | (569) all_0_17_17 = e3 | all_0_21_21 = e3
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (569), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (570) all_0_17_17 = e3
% 12.68/3.49 |
% 12.68/3.49 | Equations (570) can reduce 573 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (573) ~ (all_0_17_17 = e3)
% 12.68/3.49 | (248) all_0_21_21 = e3
% 12.68/3.49 |
% 12.68/3.49 | Combining equations (652,248) yields a new equation:
% 12.68/3.49 | (487) e3 = e0
% 12.68/3.49 |
% 12.68/3.49 | Equations (487) can reduce 21 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (407) ~ (all_0_18_18 = e3)
% 12.68/3.49 | (485) all_0_22_22 = e3
% 12.68/3.49 |
% 12.68/3.49 | Combining equations (485,507) yields a new equation:
% 12.68/3.49 | (243) e3 = e1
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 243 yields:
% 12.68/3.49 | (244) e3 = e1
% 12.68/3.49 |
% 12.68/3.49 | Equations (244) can reduce 85 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (511) ~ (all_0_22_22 = e1)
% 12.68/3.49 | (192) all_0_22_22 = e0
% 12.68/3.49 |
% 12.68/3.49 | Equations (192) can reduce 683 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (191) all_0_22_22 = e0 & ~ (all_0_19_19 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Applying alpha-rule on (191) yields:
% 12.68/3.49 | (192) all_0_22_22 = e0
% 12.68/3.49 | (193) ~ (all_0_19_19 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Equations (192) can reduce 683 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (1364) all_0_20_20 = e0 & ~ (all_0_11_11 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Applying alpha-rule on (1364) yields:
% 12.68/3.49 | (577) all_0_20_20 = e0
% 12.68/3.49 | (1366) ~ (all_0_11_11 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Equations (577) can reduce 160 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (1368) all_0_15_15 = e2 & ~ (all_0_21_21 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Applying alpha-rule on (1368) yields:
% 12.68/3.49 | (939) all_0_15_15 = e2
% 12.68/3.49 | (197) ~ (all_0_21_21 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Equations (939) can reduce 6 to:
% 12.68/3.49 | (1371) ~ (all_0_11_11 = e2)
% 12.68/3.49 |
% 12.68/3.49 | Equations (939) can reduce 39 to:
% 12.68/3.49 | (203) ~ (all_0_12_12 = e2)
% 12.68/3.49 |
% 12.68/3.49 | Equations (939) can reduce 60 to:
% 12.68/3.49 | (175) ~ (all_0_13_13 = e2)
% 12.68/3.49 |
% 12.68/3.49 | Equations (939) can reduce 59 to:
% 12.68/3.49 | (177) ~ (all_0_14_14 = e2)
% 12.68/3.49 |
% 12.68/3.49 | Equations (939) can reduce 84 to:
% 12.68/3.49 | (1146) ~ (all_0_19_19 = e2)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 1146 yields:
% 12.68/3.49 | (269) ~ (all_0_19_19 = e2)
% 12.68/3.49 |
% 12.68/3.49 | Equations (939) can reduce 20 to:
% 12.68/3.49 | (731) ~ (all_0_23_23 = e2)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 731 yields:
% 12.68/3.49 | (732) ~ (all_0_23_23 = e2)
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (83), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (170) (all_0_12_12 = e2 & ~ (all_0_9_9 = e3)) | (all_0_16_16 = e1 & ~ (all_0_10_10 = e3))
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (170), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (171) all_0_12_12 = e2 & ~ (all_0_9_9 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Applying alpha-rule on (171) yields:
% 12.68/3.49 | (172) all_0_12_12 = e2
% 12.68/3.49 | (162) ~ (all_0_9_9 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Equations (172) can reduce 203 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (655) all_0_16_16 = e1 & ~ (all_0_10_10 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Applying alpha-rule on (655) yields:
% 12.68/3.49 | (478) all_0_16_16 = e1
% 12.68/3.49 | (163) ~ (all_0_10_10 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Equations (478) can reduce 65 to:
% 12.68/3.49 | (218) ~ (all_0_8_8 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Equations (478) can reduce 37 to:
% 12.68/3.49 | (452) ~ (all_0_12_12 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Equations (478) can reduce 92 to:
% 12.68/3.49 | (660) ~ (all_0_17_17 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 660 yields:
% 12.68/3.49 | (189) ~ (all_0_17_17 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Equations (478) can reduce 89 to:
% 12.68/3.49 | (211) ~ (all_0_18_18 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 211 yields:
% 12.68/3.49 | (212) ~ (all_0_18_18 = e1)
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (119), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (200) (all_0_9_9 = e3 & ~ (all_0_12_12 = e2)) | (all_0_17_17 = e1 & ~ (all_0_14_14 = e2))
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (200), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (201) all_0_9_9 = e3 & ~ (all_0_12_12 = e2)
% 12.68/3.49 |
% 12.68/3.49 | Applying alpha-rule on (201) yields:
% 12.68/3.49 | (202) all_0_9_9 = e3
% 12.68/3.49 | (203) ~ (all_0_12_12 = e2)
% 12.68/3.49 |
% 12.68/3.49 | Equations (202) can reduce 5 to:
% 12.68/3.49 | (161) ~ (all_0_8_8 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Equations (202) can reduce 7 to:
% 12.68/3.49 | (1398) ~ (all_0_10_10 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 1398 yields:
% 12.68/3.49 | (163) ~ (all_0_10_10 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Equations (202) can reduce 112 to:
% 12.68/3.49 | (1400) ~ (all_0_11_11 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 1400 yields:
% 12.68/3.49 | (1366) ~ (all_0_11_11 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Equations (202) can reduce 69 to:
% 12.68/3.49 | (1402) ~ (all_0_13_13 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 1402 yields:
% 12.68/3.49 | (250) ~ (all_0_13_13 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Equations (202) can reduce 25 to:
% 12.68/3.49 | (1132) ~ (all_0_17_17 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 1132 yields:
% 12.68/3.49 | (573) ~ (all_0_17_17 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Equations (202) can reduce 100 to:
% 12.68/3.49 | (495) ~ (all_0_21_21 = e3)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 495 yields:
% 12.68/3.49 | (483) ~ (all_0_21_21 = e3)
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (73), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (182) (all_0_10_10 = e3 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = e2 & ~ (all_0_17_17 = e1))
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (182), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (183) all_0_10_10 = e3 & ~ (all_0_16_16 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Applying alpha-rule on (183) yields:
% 12.68/3.49 | (184) all_0_10_10 = e3
% 12.68/3.49 | (185) ~ (all_0_16_16 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Equations (478) can reduce 185 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (187) all_0_14_14 = e2 & ~ (all_0_17_17 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Applying alpha-rule on (187) yields:
% 12.68/3.49 | (188) all_0_14_14 = e2
% 12.68/3.49 | (189) ~ (all_0_17_17 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Equations (188) can reduce 177 to:
% 12.68/3.49 | (186) $false
% 12.68/3.49 |
% 12.68/3.49 |-The branch is then unsatisfiable
% 12.68/3.49 |-Branch two:
% 12.68/3.49 | (191) all_0_22_22 = e0 & ~ (all_0_19_19 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Applying alpha-rule on (191) yields:
% 12.68/3.49 | (192) all_0_22_22 = e0
% 12.68/3.49 | (193) ~ (all_0_19_19 = e1)
% 12.68/3.49 |
% 12.68/3.49 | Equations (192) can reduce 27 to:
% 12.68/3.49 | (194) ~ (all_0_10_10 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Equations (192) can reduce 68 to:
% 12.68/3.49 | (786) ~ (all_0_14_14 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Equations (192) can reduce 121 to:
% 12.68/3.49 | (160) ~ (all_0_20_20 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Equations (192) can reduce 2 to:
% 12.68/3.49 | (197) ~ (all_0_21_21 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Equations (192) can reduce 31 to:
% 12.68/3.49 | (198) ~ (all_0_23_23 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 198 yields:
% 12.68/3.49 | (199) ~ (all_0_23_23 = e0)
% 12.68/3.49 |
% 12.68/3.49 +-Applying beta-rule and splitting (87), into two cases.
% 12.68/3.49 |-Branch one:
% 12.68/3.49 | (330) all_0_8_8 = e0
% 12.68/3.49 |
% 12.68/3.49 | Equations (330) can reduce 76 to:
% 12.68/3.49 | (1427) ~ (all_0_10_10 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 1427 yields:
% 12.68/3.49 | (194) ~ (all_0_10_10 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Equations (330) can reduce 101 to:
% 12.68/3.49 | (1429) ~ (all_0_11_11 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 1429 yields:
% 12.68/3.49 | (1430) ~ (all_0_11_11 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Equations (330) can reduce 105 to:
% 12.68/3.49 | (758) ~ (all_0_12_12 = e0)
% 12.68/3.49 |
% 12.68/3.49 | Simplifying 758 yields:
% 12.68/3.49 | (317) ~ (all_0_12_12 = e0)
% 12.68/3.50 |
% 12.68/3.50 | Equations (330) can reduce 149 to:
% 12.68/3.50 | (1433) ~ (all_0_20_20 = e0)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 1433 yields:
% 12.68/3.50 | (160) ~ (all_0_20_20 = e0)
% 12.68/3.50 |
% 12.68/3.50 | Equations (330) can reduce 161 to:
% 12.68/3.50 | (793) ~ (e3 = e0)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 793 yields:
% 12.68/3.50 | (21) ~ (e3 = e0)
% 12.68/3.50 |
% 12.68/3.50 | Equations (330) can reduce 218 to:
% 12.68/3.50 | (331) ~ (e1 = e0)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 331 yields:
% 12.68/3.50 | (80) ~ (e1 = e0)
% 12.68/3.50 |
% 12.68/3.50 | From (330) and (134) follows:
% 12.68/3.50 | (333) op(all_0_5_5, e0) = all_0_4_4
% 12.68/3.50 |
% 12.68/3.50 | From (330)(330) and (144) follows:
% 12.68/3.50 | (334) op(e0, e0) = all_0_5_5
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (40), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (374) all_0_8_8 = e2
% 12.68/3.50 |
% 12.68/3.50 | Combining equations (374,330) yields a new equation:
% 12.68/3.50 | (264) e2 = e0
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 264 yields:
% 12.68/3.50 | (265) e2 = e0
% 12.68/3.50 |
% 12.68/3.50 | Equations (265) can reduce 88 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (373) ~ (all_0_8_8 = e2)
% 12.68/3.50 | (1446) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 12.68/3.50 |
% 12.68/3.50 | Equations (330) can reduce 373 to:
% 12.68/3.50 | (285) ~ (e2 = e0)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 285 yields:
% 12.68/3.50 | (88) ~ (e2 = e0)
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (41), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (320) all_0_12_12 = e3
% 12.68/3.50 |
% 12.68/3.50 | Equations (320) can reduce 18 to:
% 12.68/3.50 | (1402) ~ (all_0_13_13 = e3)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 1402 yields:
% 12.68/3.50 | (250) ~ (all_0_13_13 = e3)
% 12.68/3.50 |
% 12.68/3.50 | Equations (320) can reduce 4 to:
% 12.68/3.50 | (1452) ~ (all_0_14_14 = e3)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 1452 yields:
% 12.68/3.50 | (465) ~ (all_0_14_14 = e3)
% 12.68/3.50 |
% 12.68/3.50 | Equations (320) can reduce 81 to:
% 12.68/3.50 | (1454) ~ (all_0_20_20 = e3)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 1454 yields:
% 12.68/3.50 | (246) ~ (all_0_20_20 = e3)
% 12.68/3.50 |
% 12.68/3.50 | Equations (320) can reduce 452 to:
% 12.68/3.50 | (85) ~ (e3 = e1)
% 12.68/3.50 |
% 12.68/3.50 | Equations (320) can reduce 317 to:
% 12.68/3.50 | (21) ~ (e3 = e0)
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (71), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (314) all_0_12_12 = e0
% 12.68/3.50 |
% 12.68/3.50 | Combining equations (320,314) yields a new equation:
% 12.68/3.50 | (486) e3 = e0
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 486 yields:
% 12.68/3.50 | (487) e3 = e0
% 12.68/3.50 |
% 12.68/3.50 | Equations (487) can reduce 21 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (317) ~ (all_0_12_12 = e0)
% 12.68/3.50 | (318) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 12.68/3.50 |
% 12.68/3.50 | Equations (320) can reduce 317 to:
% 12.68/3.50 | (21) ~ (e3 = e0)
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (46), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (242) all_0_20_20 = e3
% 12.68/3.50 |
% 12.68/3.50 | Equations (242) can reduce 246 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (246) ~ (all_0_20_20 = e3)
% 12.68/3.50 | (625) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (125), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (159) all_0_11_11 = e3
% 12.68/3.50 |
% 12.68/3.50 | Equations (159) can reduce 1366 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (1366) ~ (all_0_11_11 = e3)
% 12.68/3.50 | (1472) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (625), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (252) all_0_20_20 = e2
% 12.68/3.50 |
% 12.68/3.50 | Equations (252) can reduce 246 to:
% 12.68/3.50 | (411) ~ (e3 = e2)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 411 yields:
% 12.68/3.50 | (123) ~ (e3 = e2)
% 12.68/3.50 |
% 12.68/3.50 | Equations (252) can reduce 160 to:
% 12.68/3.50 | (88) ~ (e2 = e0)
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (99), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (1477) all_0_11_11 = e0
% 12.68/3.50 |
% 12.68/3.50 | Equations (1477) can reduce 1430 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (1430) ~ (all_0_11_11 = e0)
% 12.68/3.50 | (1480) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (1480), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (787) all_0_15_15 = e0
% 12.68/3.50 |
% 12.68/3.50 | Combining equations (939,787) yields a new equation:
% 12.68/3.50 | (264) e2 = e0
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 264 yields:
% 12.68/3.50 | (265) e2 = e0
% 12.68/3.50 |
% 12.68/3.50 | Equations (265) can reduce 88 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (1162) ~ (all_0_15_15 = e0)
% 12.68/3.50 | (1486) all_0_19_19 = e0 | all_0_23_23 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (1486), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (283) all_0_19_19 = e0
% 12.68/3.50 |
% 12.68/3.50 | Equations (283) can reduce 139 to:
% 12.68/3.50 | (1430) ~ (all_0_11_11 = e0)
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (1472), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (961) all_0_11_11 = e2
% 12.68/3.50 |
% 12.68/3.50 | Equations (961) can reduce 1371 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (1371) ~ (all_0_11_11 = e2)
% 12.68/3.50 | (1492) all_0_11_11 = e1 | all_0_11_11 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (1492), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (287) all_0_11_11 = e1
% 12.68/3.50 |
% 12.68/3.50 | Equations (287) can reduce 55 to:
% 12.68/3.50 | (501) ~ (all_0_10_10 = e1)
% 12.68/3.50 |
% 12.68/3.50 | Equations (287) can reduce 1366 to:
% 12.68/3.50 | (610) ~ (e3 = e1)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 610 yields:
% 12.68/3.50 | (85) ~ (e3 = e1)
% 12.68/3.50 |
% 12.68/3.50 | From (287) and (108) follows:
% 12.68/3.50 | (1497) op(e3, e0) = e1
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (79), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (184) all_0_10_10 = e3
% 12.68/3.50 |
% 12.68/3.50 | Equations (184) can reduce 163 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (163) ~ (all_0_10_10 = e3)
% 12.68/3.50 | (522) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (8), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (159) all_0_11_11 = e3
% 12.68/3.50 |
% 12.68/3.50 | Combining equations (287,159) yields a new equation:
% 12.68/3.50 | (244) e3 = e1
% 12.68/3.50 |
% 12.68/3.50 | Equations (244) can reduce 85 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (1366) ~ (all_0_11_11 = e3)
% 12.68/3.50 | (1506) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (1506), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (310) all_0_15_15 = e3
% 12.68/3.50 |
% 12.68/3.50 | Combining equations (939,310) yields a new equation:
% 12.68/3.50 | (259) e3 = e2
% 12.68/3.50 |
% 12.68/3.50 | Equations (259) can reduce 123 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (165) ~ (all_0_15_15 = e3)
% 12.68/3.50 | (1511) all_0_19_19 = e3 | all_0_23_23 = e3
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (522), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (523) all_0_10_10 = e2
% 12.68/3.50 |
% 12.68/3.50 | Equations (523) can reduce 22 to:
% 12.68/3.50 | (176) ~ (all_0_14_14 = e2)
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 176 yields:
% 12.68/3.50 | (177) ~ (all_0_14_14 = e2)
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (1511), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (272) all_0_19_19 = e3
% 12.68/3.50 |
% 12.68/3.50 | Combining equations (272,283) yields a new equation:
% 12.68/3.50 | (486) e3 = e0
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 486 yields:
% 12.68/3.50 | (487) e3 = e0
% 12.68/3.50 |
% 12.68/3.50 | Equations (487) can reduce 21 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (167) ~ (all_0_19_19 = e3)
% 12.68/3.50 | (234) all_0_23_23 = e3
% 12.68/3.50 |
% 12.68/3.50 | From (234) and (133) follows:
% 12.68/3.50 | (1521) op(e0, e0) = e3
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (128), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (404) all_0_14_14 = e3
% 12.68/3.50 |
% 12.68/3.50 | Equations (404) can reduce 465 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (465) ~ (all_0_14_14 = e3)
% 12.68/3.50 | (1525) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (1525), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (188) all_0_14_14 = e2
% 12.68/3.50 |
% 12.68/3.50 | Equations (188) can reduce 177 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (177) ~ (all_0_14_14 = e2)
% 12.68/3.50 | (1529) all_0_14_14 = e1 | all_0_14_14 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (1529), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (458) all_0_14_14 = e1
% 12.68/3.50 |
% 12.68/3.50 | Equations (458) can reduce 53 to:
% 12.68/3.50 | (209) ~ (all_0_13_13 = e1)
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (95), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (400) all_0_13_13 = e3
% 12.68/3.50 |
% 12.68/3.50 | Equations (400) can reduce 250 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (250) ~ (all_0_13_13 = e3)
% 12.68/3.50 | (417) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (417), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (421) all_0_13_13 = e2
% 12.68/3.50 |
% 12.68/3.50 | Equations (421) can reduce 175 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (175) ~ (all_0_13_13 = e2)
% 12.68/3.50 | (424) all_0_13_13 = e1 | all_0_13_13 = e0
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (424), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (425) all_0_13_13 = e1
% 12.68/3.50 |
% 12.68/3.50 | Equations (425) can reduce 209 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (209) ~ (all_0_13_13 = e1)
% 12.68/3.50 | (326) all_0_13_13 = e0
% 12.68/3.50 |
% 12.68/3.50 | From (326) and (130) follows:
% 12.68/3.50 | (328) op(all_0_7_7, e0) = all_0_6_6
% 12.68/3.50 |
% 12.68/3.50 | From (326)(326) and (56) follows:
% 12.68/3.50 | (329) op(e0, e0) = all_0_7_7
% 12.68/3.50 |
% 12.68/3.50 | Instantiating formula (35) with e0, e0, all_0_7_7, all_0_5_5 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = all_0_7_7, yields:
% 12.68/3.50 | (337) all_0_5_5 = all_0_7_7
% 12.68/3.50 |
% 12.68/3.50 | Instantiating formula (35) with e0, e0, e3, all_0_5_5 and discharging atoms op(e0, e0) = all_0_5_5, op(e0, e0) = e3, yields:
% 12.68/3.50 | (1547) all_0_5_5 = e3
% 12.68/3.50 |
% 12.68/3.50 | Combining equations (337,1547) yields a new equation:
% 12.68/3.50 | (1548) all_0_7_7 = e3
% 12.68/3.50 |
% 12.68/3.50 | Simplifying 1548 yields:
% 12.68/3.50 | (1549) all_0_7_7 = e3
% 12.68/3.50 |
% 12.68/3.50 | From (1547) and (333) follows:
% 12.68/3.50 | (1550) op(e3, e0) = all_0_4_4
% 12.68/3.50 |
% 12.68/3.50 | From (1549) and (328) follows:
% 12.68/3.50 | (1551) op(e3, e0) = all_0_6_6
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (131), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (1552) ~ (all_0_6_6 = e1)
% 12.68/3.50 |
% 12.68/3.50 | Instantiating formula (35) with e3, e0, all_0_4_4, e1 and discharging atoms op(e3, e0) = all_0_4_4, op(e3, e0) = e1, yields:
% 12.68/3.50 | (344) all_0_4_4 = e1
% 12.68/3.50 |
% 12.68/3.50 | Instantiating formula (35) with e3, e0, all_0_6_6, all_0_4_4 and discharging atoms op(e3, e0) = all_0_4_4, op(e3, e0) = all_0_6_6, yields:
% 12.68/3.50 | (345) all_0_4_4 = all_0_6_6
% 12.68/3.50 |
% 12.68/3.50 | Combining equations (344,345) yields a new equation:
% 12.68/3.50 | (346) all_0_6_6 = e1
% 12.68/3.50 |
% 12.68/3.50 | Equations (346) can reduce 1552 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (346) all_0_6_6 = e1
% 12.68/3.50 | (1558) ~ (all_0_7_7 = e3) | ~ (all_0_13_13 = e0)
% 12.68/3.50 |
% 12.68/3.50 +-Applying beta-rule and splitting (1558), into two cases.
% 12.68/3.50 |-Branch one:
% 12.68/3.50 | (1559) ~ (all_0_7_7 = e3)
% 12.68/3.50 |
% 12.68/3.50 | Equations (1549) can reduce 1559 to:
% 12.68/3.50 | (186) $false
% 12.68/3.50 |
% 12.68/3.50 |-The branch is then unsatisfiable
% 12.68/3.50 |-Branch two:
% 12.68/3.50 | (1549) all_0_7_7 = e3
% 12.68/3.50 | (398) ~ (all_0_13_13 = e0)
% 12.68/3.51 |
% 12.68/3.51 | Equations (326) can reduce 398 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (462) ~ (all_0_14_14 = e1)
% 12.68/3.51 | (782) all_0_14_14 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (782) can reduce 786 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (591) ~ (all_0_10_10 = e2)
% 12.68/3.51 | (592) all_0_10_10 = e1 | all_0_10_10 = e0
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (592), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (593) all_0_10_10 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (593) can reduce 501 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (501) ~ (all_0_10_10 = e1)
% 12.68/3.51 | (596) all_0_10_10 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (596) can reduce 194 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (290) ~ (all_0_11_11 = e1)
% 12.68/3.51 | (1477) all_0_11_11 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (1477) can reduce 1430 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (790) ~ (all_0_19_19 = e0)
% 12.68/3.51 | (890) all_0_23_23 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (890) can reduce 199 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (181) ~ (all_0_20_20 = e2)
% 12.68/3.51 | (632) all_0_20_20 = e1 | all_0_20_20 = e0
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (318), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (326) all_0_13_13 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (326) can reduce 48 to:
% 12.68/3.51 | (1583) ~ (all_0_17_17 = e0)
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 1583 yields:
% 12.68/3.51 | (680) ~ (all_0_17_17 = e0)
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (107), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (570) all_0_17_17 = e3
% 12.68/3.51 |
% 12.68/3.51 | Equations (570) can reduce 573 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (573) ~ (all_0_17_17 = e3)
% 12.68/3.51 | (919) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (61), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (449) all_0_12_12 = e1
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (320,449) yields a new equation:
% 12.68/3.51 | (243) e3 = e1
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 243 yields:
% 12.68/3.51 | (244) e3 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (244) can reduce 85 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (452) ~ (all_0_12_12 = e1)
% 12.68/3.51 | (453) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (320) can reduce 452 to:
% 12.68/3.51 | (85) ~ (e3 = e1)
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (919), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (302) all_0_17_17 = e2
% 12.68/3.51 |
% 12.68/3.51 | Equations (302) can reduce 140 to:
% 12.68/3.51 | (1597) ~ (all_0_21_21 = e2)
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 1597 yields:
% 12.68/3.51 | (261) ~ (all_0_21_21 = e2)
% 12.68/3.51 |
% 12.68/3.51 | Equations (302) can reduce 573 to:
% 12.68/3.51 | (411) ~ (e3 = e2)
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 411 yields:
% 12.68/3.51 | (123) ~ (e3 = e2)
% 12.68/3.51 |
% 12.68/3.51 | Equations (302) can reduce 189 to:
% 12.68/3.51 | (96) ~ (e2 = e1)
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (13), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (393) all_0_9_9 = e1
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (393,202) yields a new equation:
% 12.68/3.51 | (244) e3 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (244) can reduce 85 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (208) ~ (all_0_9_9 = e1)
% 12.68/3.51 | (1606) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (1606), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (425) all_0_13_13 = e1
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (326,425) yields a new equation:
% 12.68/3.51 | (359) e1 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (359) can reduce 80 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (209) ~ (all_0_13_13 = e1)
% 12.68/3.51 | (1611) all_0_17_17 = e1 | all_0_21_21 = e1
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (1611), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (206) all_0_17_17 = e1
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (302,206) yields a new equation:
% 12.68/3.51 | (303) e2 = e1
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 303 yields:
% 12.68/3.51 | (253) e2 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (253) can reduce 96 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (189) ~ (all_0_17_17 = e1)
% 12.68/3.51 | (503) all_0_21_21 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (503) can reduce 261 to:
% 12.68/3.51 | (224) ~ (e2 = e1)
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 224 yields:
% 12.68/3.51 | (96) ~ (e2 = e1)
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (1446), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (172) all_0_12_12 = e2
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (320,172) yields a new equation:
% 12.68/3.51 | (258) e3 = e2
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 258 yields:
% 12.68/3.51 | (259) e3 = e2
% 12.68/3.51 |
% 12.68/3.51 | Equations (259) can reduce 123 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (203) ~ (all_0_12_12 = e2)
% 12.68/3.51 | (1625) all_0_16_16 = e2 | all_0_20_20 = e2
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (1625), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (295) all_0_16_16 = e2
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (478,295) yields a new equation:
% 12.68/3.51 | (253) e2 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (253) can reduce 96 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (179) ~ (all_0_16_16 = e2)
% 12.68/3.51 | (252) all_0_20_20 = e2
% 12.68/3.51 |
% 12.68/3.51 | Equations (252) can reduce 181 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (306) ~ (all_0_17_17 = e2)
% 12.68/3.51 | (923) all_0_17_17 = e1 | all_0_17_17 = e0
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (923), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (206) all_0_17_17 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (206) can reduce 189 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (189) ~ (all_0_17_17 = e1)
% 12.68/3.51 | (823) all_0_17_17 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (823) can reduce 680 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (398) ~ (all_0_13_13 = e0)
% 12.68/3.51 | (399) all_0_14_14 = e0 | all_0_15_15 = e0
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (399), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (782) all_0_14_14 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (782) can reduce 786 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (786) ~ (all_0_14_14 = e0)
% 12.68/3.51 | (787) all_0_15_15 = e0
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (939,787) yields a new equation:
% 12.68/3.51 | (264) e2 = e0
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 264 yields:
% 12.68/3.51 | (265) e2 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (265) can reduce 88 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (324) ~ (all_0_12_12 = e3)
% 12.68/3.51 | (1649) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (23), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (374) all_0_8_8 = e2
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (374,330) yields a new equation:
% 12.68/3.51 | (264) e2 = e0
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 264 yields:
% 12.68/3.51 | (265) e2 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (265) can reduce 88 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (373) ~ (all_0_8_8 = e2)
% 12.68/3.51 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (1446), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (172) all_0_12_12 = e2
% 12.68/3.51 |
% 12.68/3.51 | Equations (172) can reduce 203 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (203) ~ (all_0_12_12 = e2)
% 12.68/3.51 | (1625) all_0_16_16 = e2 | all_0_20_20 = e2
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (742), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (372) all_0_9_9 = e2
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (372,202) yields a new equation:
% 12.68/3.51 | (259) e3 = e2
% 12.68/3.51 |
% 12.68/3.51 | Equations (259) can reduce 123 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (383) ~ (all_0_9_9 = e2)
% 12.68/3.51 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (930), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (523) all_0_10_10 = e2
% 12.68/3.51 |
% 12.68/3.51 | Equations (523) can reduce 9 to:
% 12.68/3.51 | (524) ~ (all_0_18_18 = e2)
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 524 yields:
% 12.68/3.51 | (443) ~ (all_0_18_18 = e2)
% 12.68/3.51 |
% 12.68/3.51 | Equations (523) can reduce 163 to:
% 12.68/3.51 | (411) ~ (e3 = e2)
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 411 yields:
% 12.68/3.51 | (123) ~ (e3 = e2)
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (153), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (226) all_0_8_8 = e3
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (226,330) yields a new equation:
% 12.68/3.51 | (486) e3 = e0
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 486 yields:
% 12.68/3.51 | (487) e3 = e0
% 12.68/3.51 |
% 12.68/3.51 | Equations (487) can reduce 21 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (161) ~ (all_0_8_8 = e3)
% 12.68/3.51 | (229) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 12.68/3.51 |
% 12.68/3.51 | Equations (330) can reduce 161 to:
% 12.68/3.51 | (793) ~ (e3 = e0)
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 793 yields:
% 12.68/3.51 | (21) ~ (e3 = e0)
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (132), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (527) all_0_18_18 = e3
% 12.68/3.51 |
% 12.68/3.51 | Equations (527) can reduce 443 to:
% 12.68/3.51 | (123) ~ (e3 = e2)
% 12.68/3.51 |
% 12.68/3.51 | Equations (527) can reduce 212 to:
% 12.68/3.51 | (85) ~ (e3 = e1)
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (229), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (320) all_0_12_12 = e3
% 12.68/3.51 |
% 12.68/3.51 | Equations (320) can reduce 324 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (324) ~ (all_0_12_12 = e3)
% 12.68/3.51 | (1684) all_0_16_16 = e3 | all_0_20_20 = e3
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (1684), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (292) all_0_16_16 = e3
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (292,478) yields a new equation:
% 12.68/3.51 | (243) e3 = e1
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 243 yields:
% 12.68/3.51 | (244) e3 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (244) can reduce 85 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (468) ~ (all_0_16_16 = e3)
% 12.68/3.51 | (242) all_0_20_20 = e3
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (1625), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (295) all_0_16_16 = e2
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (478,295) yields a new equation:
% 12.68/3.51 | (253) e2 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (253) can reduce 96 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (179) ~ (all_0_16_16 = e2)
% 12.68/3.51 | (252) all_0_20_20 = e2
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (242,252) yields a new equation:
% 12.68/3.51 | (258) e3 = e2
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 258 yields:
% 12.68/3.51 | (259) e3 = e2
% 12.68/3.51 |
% 12.68/3.51 | Equations (259) can reduce 123 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (407) ~ (all_0_18_18 = e3)
% 12.68/3.51 | (581) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (16), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (593) all_0_10_10 = e1
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (523,593) yields a new equation:
% 12.68/3.51 | (303) e2 = e1
% 12.68/3.51 |
% 12.68/3.51 | Simplifying 303 yields:
% 12.68/3.51 | (253) e2 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (253) can reduce 96 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (501) ~ (all_0_10_10 = e1)
% 12.68/3.51 | (1036) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (29), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (292) all_0_16_16 = e3
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (478,292) yields a new equation:
% 12.68/3.51 | (244) e3 = e1
% 12.68/3.51 |
% 12.68/3.51 | Equations (244) can reduce 85 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (468) ~ (all_0_16_16 = e3)
% 12.68/3.51 | (1711) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 12.68/3.51 |
% 12.68/3.51 +-Applying beta-rule and splitting (43), into two cases.
% 12.68/3.51 |-Branch one:
% 12.68/3.51 | (184) all_0_10_10 = e3
% 12.68/3.51 |
% 12.68/3.51 | Combining equations (523,184) yields a new equation:
% 12.68/3.51 | (259) e3 = e2
% 12.68/3.51 |
% 12.68/3.51 | Equations (259) can reduce 123 to:
% 12.68/3.51 | (186) $false
% 12.68/3.51 |
% 12.68/3.51 |-The branch is then unsatisfiable
% 12.68/3.51 |-Branch two:
% 12.68/3.51 | (163) ~ (all_0_10_10 = e3)
% 12.68/3.51 | (1082) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (1711), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (570) all_0_17_17 = e3
% 12.68/3.52 |
% 12.68/3.52 | Equations (570) can reduce 573 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (573) ~ (all_0_17_17 = e3)
% 12.68/3.52 | (1720) all_0_18_18 = e3 | all_0_19_19 = e3
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (1720), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (527) all_0_18_18 = e3
% 12.68/3.52 |
% 12.68/3.52 | Equations (527) can reduce 407 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (407) ~ (all_0_18_18 = e3)
% 12.68/3.52 | (272) all_0_19_19 = e3
% 12.68/3.52 |
% 12.68/3.52 | Equations (272) can reduce 136 to:
% 12.68/3.52 | (407) ~ (all_0_18_18 = e3)
% 12.68/3.52 |
% 12.68/3.52 | Equations (272) can reduce 193 to:
% 12.68/3.52 | (85) ~ (e3 = e1)
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (1082), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (404) all_0_14_14 = e3
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (1036), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (458) all_0_14_14 = e1
% 12.68/3.52 |
% 12.68/3.52 | Combining equations (404,458) yields a new equation:
% 12.68/3.52 | (243) e3 = e1
% 12.68/3.52 |
% 12.68/3.52 | Simplifying 243 yields:
% 12.68/3.52 | (244) e3 = e1
% 12.68/3.52 |
% 12.68/3.52 | Equations (244) can reduce 85 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (462) ~ (all_0_14_14 = e1)
% 12.68/3.52 | (1733) all_0_18_18 = e1 | all_0_22_22 = e1
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (1733), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (586) all_0_18_18 = e1
% 12.68/3.52 |
% 12.68/3.52 | Equations (586) can reduce 212 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (212) ~ (all_0_18_18 = e1)
% 12.68/3.52 | (507) all_0_22_22 = e1
% 12.68/3.52 |
% 12.68/3.52 | Combining equations (507,192) yields a new equation:
% 12.68/3.52 | (508) e1 = e0
% 12.68/3.52 |
% 12.68/3.52 | Simplifying 508 yields:
% 12.68/3.52 | (359) e1 = e0
% 12.68/3.52 |
% 12.68/3.52 | Equations (359) can reduce 80 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (465) ~ (all_0_14_14 = e3)
% 12.68/3.52 | (1101) all_0_18_18 = e3 | all_0_22_22 = e3
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (1101), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (527) all_0_18_18 = e3
% 12.68/3.52 |
% 12.68/3.52 | Equations (527) can reduce 407 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (407) ~ (all_0_18_18 = e3)
% 12.68/3.52 | (485) all_0_22_22 = e3
% 12.68/3.52 |
% 12.68/3.52 | Combining equations (485,192) yields a new equation:
% 12.68/3.52 | (486) e3 = e0
% 12.68/3.52 |
% 12.68/3.52 | Simplifying 486 yields:
% 12.68/3.52 | (487) e3 = e0
% 12.68/3.52 |
% 12.68/3.52 | Equations (487) can reduce 21 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (591) ~ (all_0_10_10 = e2)
% 12.68/3.52 | (961) all_0_11_11 = e2
% 12.68/3.52 |
% 12.68/3.52 | Equations (961) can reduce 1371 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (354) ~ (all_0_8_8 = e0)
% 12.68/3.52 | (367) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (36), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (330) all_0_8_8 = e0
% 12.68/3.52 |
% 12.68/3.52 | Equations (330) can reduce 354 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (354) ~ (all_0_8_8 = e0)
% 12.68/3.52 | (518) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (367), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (368) all_0_9_9 = e0
% 12.68/3.52 |
% 12.68/3.52 | Combining equations (368,202) yields a new equation:
% 12.68/3.52 | (487) e3 = e0
% 12.68/3.52 |
% 12.68/3.52 | Equations (487) can reduce 21 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (327) ~ (all_0_9_9 = e0)
% 12.68/3.52 | (371) all_0_10_10 = e0 | all_0_11_11 = e0
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (371), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (596) all_0_10_10 = e0
% 12.68/3.52 |
% 12.68/3.52 | Equations (596) can reduce 194 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (194) ~ (all_0_10_10 = e0)
% 12.68/3.52 | (1477) all_0_11_11 = e0
% 12.68/3.52 |
% 12.68/3.52 | Equations (1477) can reduce 139 to:
% 12.68/3.52 | (789) ~ (all_0_19_19 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Simplifying 789 yields:
% 12.68/3.52 | (790) ~ (all_0_19_19 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Equations (1477) can reduce 124 to:
% 12.68/3.52 | (198) ~ (all_0_23_23 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Simplifying 198 yields:
% 12.68/3.52 | (199) ~ (all_0_23_23 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Equations (1477) can reduce 1366 to:
% 12.68/3.52 | (793) ~ (e3 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Simplifying 793 yields:
% 12.68/3.52 | (21) ~ (e3 = e0)
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (518), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (314) all_0_12_12 = e0
% 12.68/3.52 |
% 12.68/3.52 | Equations (314) can reduce 18 to:
% 12.68/3.52 | (1775) ~ (all_0_13_13 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Simplifying 1775 yields:
% 12.68/3.52 | (398) ~ (all_0_13_13 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Equations (314) can reduce 203 to:
% 12.68/3.52 | (285) ~ (e2 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Simplifying 285 yields:
% 12.68/3.52 | (88) ~ (e2 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Equations (314) can reduce 452 to:
% 12.68/3.52 | (331) ~ (e1 = e0)
% 12.68/3.52 |
% 12.68/3.52 | Simplifying 331 yields:
% 12.68/3.52 | (80) ~ (e1 = e0)
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (106), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (320) all_0_12_12 = e3
% 12.68/3.52 |
% 12.68/3.52 | Combining equations (314,320) yields a new equation:
% 12.68/3.52 | (487) e3 = e0
% 12.68/3.52 |
% 12.68/3.52 | Equations (487) can reduce 21 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (324) ~ (all_0_12_12 = e3)
% 12.68/3.52 | (325) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (325), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (400) all_0_13_13 = e3
% 12.68/3.52 |
% 12.68/3.52 | Equations (400) can reduce 250 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (250) ~ (all_0_13_13 = e3)
% 12.68/3.52 | (403) all_0_14_14 = e3 | all_0_15_15 = e3
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (403), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (404) all_0_14_14 = e3
% 12.68/3.52 |
% 12.68/3.52 | Equations (404) can reduce 53 to:
% 12.68/3.52 | (250) ~ (all_0_13_13 = e3)
% 12.68/3.52 |
% 12.68/3.52 +-Applying beta-rule and splitting (152), into two cases.
% 12.68/3.52 |-Branch one:
% 12.68/3.52 | (226) all_0_8_8 = e3
% 12.68/3.52 |
% 12.68/3.52 | Equations (226) can reduce 161 to:
% 12.68/3.52 | (186) $false
% 12.68/3.52 |
% 12.68/3.52 |-The branch is then unsatisfiable
% 12.68/3.52 |-Branch two:
% 12.68/3.52 | (161) ~ (all_0_8_8 = e3)
% 12.85/3.52 | (233) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (148), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (481) all_0_16_16 = e0
% 12.85/3.52 |
% 12.85/3.52 | Combining equations (478,481) yields a new equation:
% 12.85/3.52 | (508) e1 = e0
% 12.85/3.52 |
% 12.85/3.52 | Simplifying 508 yields:
% 12.85/3.52 | (359) e1 = e0
% 12.85/3.52 |
% 12.85/3.52 | Equations (359) can reduce 80 to:
% 12.85/3.52 | (186) $false
% 12.85/3.52 |
% 12.85/3.52 |-The branch is then unsatisfiable
% 12.85/3.52 |-Branch two:
% 12.85/3.52 | (284) ~ (all_0_16_16 = e0)
% 12.85/3.52 | (711) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (154), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (238) all_0_8_8 = e1
% 12.85/3.52 |
% 12.85/3.52 | Equations (238) can reduce 218 to:
% 12.85/3.52 | (186) $false
% 12.85/3.52 |
% 12.85/3.52 |-The branch is then unsatisfiable
% 12.85/3.52 |-Branch two:
% 12.85/3.52 | (218) ~ (all_0_8_8 = e1)
% 12.85/3.52 | (241) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (104), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (272) all_0_19_19 = e3
% 12.85/3.52 |
% 12.85/3.52 | Equations (272) can reduce 120 to:
% 12.85/3.52 | (573) ~ (all_0_17_17 = e3)
% 12.85/3.52 |
% 12.85/3.52 | Equations (272) can reduce 136 to:
% 12.85/3.52 | (407) ~ (all_0_18_18 = e3)
% 12.85/3.52 |
% 12.85/3.52 | Equations (272) can reduce 26 to:
% 12.85/3.52 | (168) ~ (all_0_23_23 = e3)
% 12.85/3.52 |
% 12.85/3.52 | Simplifying 168 yields:
% 12.85/3.52 | (169) ~ (all_0_23_23 = e3)
% 12.85/3.52 |
% 12.85/3.52 | Equations (272) can reduce 269 to:
% 12.85/3.52 | (123) ~ (e3 = e2)
% 12.85/3.52 |
% 12.85/3.52 | Equations (272) can reduce 790 to:
% 12.85/3.52 | (21) ~ (e3 = e0)
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (142), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (234) all_0_23_23 = e3
% 12.85/3.52 |
% 12.85/3.52 | Equations (234) can reduce 169 to:
% 12.85/3.52 | (186) $false
% 12.85/3.52 |
% 12.85/3.52 |-The branch is then unsatisfiable
% 12.85/3.52 |-Branch two:
% 12.85/3.52 | (169) ~ (all_0_23_23 = e3)
% 12.85/3.52 | (237) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (711), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (823) all_0_17_17 = e0
% 12.85/3.52 |
% 12.85/3.52 | Equations (823) can reduce 48 to:
% 12.85/3.52 | (398) ~ (all_0_13_13 = e0)
% 12.85/3.52 |
% 12.85/3.52 | Equations (823) can reduce 115 to:
% 12.85/3.52 | (1819) ~ (all_0_18_18 = e0)
% 12.85/3.52 |
% 12.85/3.52 | Simplifying 1819 yields:
% 12.85/3.52 | (195) ~ (all_0_18_18 = e0)
% 12.85/3.52 |
% 12.85/3.52 | Equations (823) can reduce 140 to:
% 12.85/3.52 | (1821) ~ (all_0_21_21 = e0)
% 12.85/3.52 |
% 12.85/3.52 | Simplifying 1821 yields:
% 12.85/3.52 | (197) ~ (all_0_21_21 = e0)
% 12.85/3.52 |
% 12.85/3.52 | Equations (823) can reduce 573 to:
% 12.85/3.52 | (793) ~ (e3 = e0)
% 12.85/3.52 |
% 12.85/3.52 | Simplifying 793 yields:
% 12.85/3.52 | (21) ~ (e3 = e0)
% 12.85/3.52 |
% 12.85/3.52 | From (823) and (52) follows:
% 12.85/3.52 | (1825) op(e1, e2) = e0
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (58), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (372) all_0_9_9 = e2
% 12.85/3.52 |
% 12.85/3.52 | Combining equations (372,202) yields a new equation:
% 12.85/3.52 | (259) e3 = e2
% 12.85/3.52 |
% 12.85/3.52 | Equations (259) can reduce 123 to:
% 12.85/3.52 | (186) $false
% 12.85/3.52 |
% 12.85/3.52 |-The branch is then unsatisfiable
% 12.85/3.52 |-Branch two:
% 12.85/3.52 | (383) ~ (all_0_9_9 = e2)
% 12.85/3.52 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 12.85/3.52 |
% 12.85/3.52 | Equations (202) can reduce 383 to:
% 12.85/3.52 | (123) ~ (e3 = e2)
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (237), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (268) all_0_23_23 = e2
% 12.85/3.52 |
% 12.85/3.52 | Equations (268) can reduce 732 to:
% 12.85/3.52 | (186) $false
% 12.85/3.52 |
% 12.85/3.52 |-The branch is then unsatisfiable
% 12.85/3.52 |-Branch two:
% 12.85/3.52 | (732) ~ (all_0_23_23 = e2)
% 12.85/3.52 | (750) all_0_23_23 = e1 | all_0_23_23 = e0
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (49), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (295) all_0_16_16 = e2
% 12.85/3.52 |
% 12.85/3.52 | Combining equations (478,295) yields a new equation:
% 12.85/3.52 | (253) e2 = e1
% 12.85/3.52 |
% 12.85/3.52 | Equations (253) can reduce 96 to:
% 12.85/3.52 | (186) $false
% 12.85/3.52 |
% 12.85/3.52 |-The branch is then unsatisfiable
% 12.85/3.52 |-Branch two:
% 12.85/3.52 | (179) ~ (all_0_16_16 = e2)
% 12.85/3.52 | (300) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (16), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (593) all_0_10_10 = e1
% 12.85/3.52 |
% 12.85/3.52 | Equations (593) can reduce 76 to:
% 12.85/3.52 | (218) ~ (all_0_8_8 = e1)
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (300), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (302) all_0_17_17 = e2
% 12.85/3.52 |
% 12.85/3.52 | Combining equations (302,823) yields a new equation:
% 12.85/3.52 | (264) e2 = e0
% 12.85/3.52 |
% 12.85/3.52 | Simplifying 264 yields:
% 12.85/3.52 | (265) e2 = e0
% 12.85/3.52 |
% 12.85/3.52 | Equations (265) can reduce 88 to:
% 12.85/3.52 | (186) $false
% 12.85/3.52 |
% 12.85/3.52 |-The branch is then unsatisfiable
% 12.85/3.52 |-Branch two:
% 12.85/3.52 | (306) ~ (all_0_17_17 = e2)
% 12.85/3.52 | (307) all_0_18_18 = e2 | all_0_19_19 = e2
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (750), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (362) all_0_23_23 = e1
% 12.85/3.52 |
% 12.85/3.52 | Equations (362) can reduce 146 to:
% 12.85/3.52 | (216) ~ (all_0_21_21 = e1)
% 12.85/3.52 |
% 12.85/3.52 | Equations (362) can reduce 169 to:
% 12.85/3.52 | (610) ~ (e3 = e1)
% 12.85/3.52 |
% 12.85/3.52 | Simplifying 610 yields:
% 12.85/3.52 | (85) ~ (e3 = e1)
% 12.85/3.52 |
% 12.85/3.52 | Equations (362) can reduce 199 to:
% 12.85/3.52 | (80) ~ (e1 = e0)
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (307), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (410) all_0_18_18 = e2
% 12.85/3.52 |
% 12.85/3.52 | Equations (410) can reduce 407 to:
% 12.85/3.52 | (411) ~ (e3 = e2)
% 12.85/3.52 |
% 12.85/3.52 | Simplifying 411 yields:
% 12.85/3.52 | (123) ~ (e3 = e2)
% 12.85/3.52 |
% 12.85/3.52 | Equations (410) can reduce 195 to:
% 12.85/3.52 | (88) ~ (e2 = e0)
% 12.85/3.52 |
% 12.85/3.52 | From (410) and (12) follows:
% 12.85/3.52 | (1858) op(all_0_3_3, e2) = all_0_2_2
% 12.85/3.52 |
% 12.85/3.52 | From (410)(410) and (77) follows:
% 12.85/3.52 | (1859) op(e2, e2) = all_0_3_3
% 12.85/3.52 |
% 12.85/3.52 +-Applying beta-rule and splitting (13), into two cases.
% 12.85/3.52 |-Branch one:
% 12.85/3.52 | (393) all_0_9_9 = e1
% 12.85/3.52 |
% 12.85/3.52 | Combining equations (393,202) yields a new equation:
% 12.85/3.52 | (244) e3 = e1
% 12.85/3.52 |
% 12.85/3.52 | Equations (244) can reduce 85 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (208) ~ (all_0_9_9 = e1)
% 12.85/3.53 | (1606) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (384), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (421) all_0_13_13 = e2
% 12.85/3.53 |
% 12.85/3.53 | Equations (421) can reduce 175 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (175) ~ (all_0_13_13 = e2)
% 12.85/3.53 | (435) all_0_17_17 = e2 | all_0_21_21 = e2
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (1606), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (425) all_0_13_13 = e1
% 12.85/3.53 |
% 12.85/3.53 | Equations (425) can reduce 175 to:
% 12.85/3.53 | (224) ~ (e2 = e1)
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 224 yields:
% 12.85/3.53 | (96) ~ (e2 = e1)
% 12.85/3.53 |
% 12.85/3.53 | From (425) and (103) follows:
% 12.85/3.53 | (1872) op(e2, e2) = e1
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (23), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (374) all_0_8_8 = e2
% 12.85/3.53 |
% 12.85/3.53 | From (374) and (134) follows:
% 12.85/3.53 | (1874) op(all_0_5_5, e2) = all_0_4_4
% 12.85/3.53 |
% 12.85/3.53 | From (374)(374) and (144) follows:
% 12.85/3.53 | (1875) op(e2, e2) = all_0_5_5
% 12.85/3.53 |
% 12.85/3.53 | Instantiating formula (35) with e2, e2, all_0_5_5, all_0_3_3 and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = all_0_5_5, yields:
% 12.85/3.53 | (1876) all_0_3_3 = all_0_5_5
% 12.85/3.53 |
% 12.85/3.53 | Instantiating formula (35) with e2, e2, e1, all_0_3_3 and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = e1, yields:
% 12.85/3.53 | (551) all_0_3_3 = e1
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (1876,551) yields a new equation:
% 12.85/3.53 | (1878) all_0_5_5 = e1
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 1878 yields:
% 12.85/3.53 | (1879) all_0_5_5 = e1
% 12.85/3.53 |
% 12.85/3.53 | From (551) and (1858) follows:
% 12.85/3.53 | (1880) op(e1, e2) = all_0_2_2
% 12.85/3.53 |
% 12.85/3.53 | From (1879) and (1874) follows:
% 12.85/3.53 | (1881) op(e1, e2) = all_0_4_4
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (98), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (1882) ~ (all_0_4_4 = e0)
% 12.85/3.53 |
% 12.85/3.53 | Instantiating formula (35) with e1, e2, all_0_2_2, e0 and discharging atoms op(e1, e2) = all_0_2_2, op(e1, e2) = e0, yields:
% 12.85/3.53 | (557) all_0_2_2 = e0
% 12.85/3.53 |
% 12.85/3.53 | Instantiating formula (35) with e1, e2, all_0_4_4, all_0_2_2 and discharging atoms op(e1, e2) = all_0_2_2, op(e1, e2) = all_0_4_4, yields:
% 12.85/3.53 | (1884) all_0_2_2 = all_0_4_4
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (557,1884) yields a new equation:
% 12.85/3.53 | (1885) all_0_4_4 = e0
% 12.85/3.53 |
% 12.85/3.53 | Equations (1885) can reduce 1882 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (1885) all_0_4_4 = e0
% 12.85/3.53 | (1888) ~ (all_0_5_5 = e1) | ~ (all_0_8_8 = e2)
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (1888), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (1889) ~ (all_0_5_5 = e1)
% 12.85/3.53 |
% 12.85/3.53 | Equations (1879) can reduce 1889 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (1879) all_0_5_5 = e1
% 12.85/3.53 | (373) ~ (all_0_8_8 = e2)
% 12.85/3.53 |
% 12.85/3.53 | Equations (374) can reduce 373 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (373) ~ (all_0_8_8 = e2)
% 12.85/3.53 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (742), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (372) all_0_9_9 = e2
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (372,202) yields a new equation:
% 12.85/3.53 | (259) e3 = e2
% 12.85/3.53 |
% 12.85/3.53 | Equations (259) can reduce 123 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (383) ~ (all_0_9_9 = e2)
% 12.85/3.53 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (930), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (523) all_0_10_10 = e2
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (523,593) yields a new equation:
% 12.85/3.53 | (303) e2 = e1
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 303 yields:
% 12.85/3.53 | (253) e2 = e1
% 12.85/3.53 |
% 12.85/3.53 | Equations (253) can reduce 96 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (591) ~ (all_0_10_10 = e2)
% 12.85/3.53 | (961) all_0_11_11 = e2
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (961,1477) yields a new equation:
% 12.85/3.53 | (264) e2 = e0
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 264 yields:
% 12.85/3.53 | (265) e2 = e0
% 12.85/3.53 |
% 12.85/3.53 | Equations (265) can reduce 88 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (209) ~ (all_0_13_13 = e1)
% 12.85/3.53 | (1611) all_0_17_17 = e1 | all_0_21_21 = e1
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (435), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (302) all_0_17_17 = e2
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (823,302) yields a new equation:
% 12.85/3.53 | (265) e2 = e0
% 12.85/3.53 |
% 12.85/3.53 | Equations (265) can reduce 88 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (306) ~ (all_0_17_17 = e2)
% 12.85/3.53 | (257) all_0_21_21 = e2
% 12.85/3.53 |
% 12.85/3.53 | Equations (257) can reduce 45 to:
% 12.85/3.53 | (181) ~ (all_0_20_20 = e2)
% 12.85/3.53 |
% 12.85/3.53 | Equations (257) can reduce 216 to:
% 12.85/3.53 | (96) ~ (e2 = e1)
% 12.85/3.53 |
% 12.85/3.53 | Equations (257) can reduce 197 to:
% 12.85/3.53 | (88) ~ (e2 = e0)
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (40), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (374) all_0_8_8 = e2
% 12.85/3.53 |
% 12.85/3.53 | Equations (374) can reduce 218 to:
% 12.85/3.53 | (96) ~ (e2 = e1)
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (1611), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (206) all_0_17_17 = e1
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (823,206) yields a new equation:
% 12.85/3.53 | (359) e1 = e0
% 12.85/3.53 |
% 12.85/3.53 | Equations (359) can reduce 80 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (189) ~ (all_0_17_17 = e1)
% 12.85/3.53 | (503) all_0_21_21 = e1
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (503,257) yields a new equation:
% 12.85/3.53 | (253) e2 = e1
% 12.85/3.53 |
% 12.85/3.53 | Equations (253) can reduce 96 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (373) ~ (all_0_8_8 = e2)
% 12.85/3.53 | (1446) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (1446), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (172) all_0_12_12 = e2
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (172,314) yields a new equation:
% 12.85/3.53 | (264) e2 = e0
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 264 yields:
% 12.85/3.53 | (265) e2 = e0
% 12.85/3.53 |
% 12.85/3.53 | Equations (265) can reduce 88 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (203) ~ (all_0_12_12 = e2)
% 12.85/3.53 | (1625) all_0_16_16 = e2 | all_0_20_20 = e2
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (1625), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (295) all_0_16_16 = e2
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (478,295) yields a new equation:
% 12.85/3.53 | (253) e2 = e1
% 12.85/3.53 |
% 12.85/3.53 | Equations (253) can reduce 96 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (179) ~ (all_0_16_16 = e2)
% 12.85/3.53 | (252) all_0_20_20 = e2
% 12.85/3.53 |
% 12.85/3.53 | Equations (252) can reduce 181 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (443) ~ (all_0_18_18 = e2)
% 12.85/3.53 | (276) all_0_19_19 = e2
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (276,272) yields a new equation:
% 12.85/3.53 | (259) e3 = e2
% 12.85/3.53 |
% 12.85/3.53 | Equations (259) can reduce 123 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (223) ~ (all_0_23_23 = e1)
% 12.85/3.53 | (890) all_0_23_23 = e0
% 12.85/3.53 |
% 12.85/3.53 | Equations (890) can reduce 199 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (501) ~ (all_0_10_10 = e1)
% 12.85/3.53 | (1036) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (95), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (400) all_0_13_13 = e3
% 12.85/3.53 |
% 12.85/3.53 | Equations (400) can reduce 250 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (250) ~ (all_0_13_13 = e3)
% 12.85/3.53 | (417) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (63), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (242) all_0_20_20 = e3
% 12.85/3.53 |
% 12.85/3.53 | Equations (242) can reduce 42 to:
% 12.85/3.53 | (168) ~ (all_0_23_23 = e3)
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 168 yields:
% 12.85/3.53 | (169) ~ (all_0_23_23 = e3)
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (417), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (421) all_0_13_13 = e2
% 12.85/3.53 |
% 12.85/3.53 | Equations (421) can reduce 175 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (175) ~ (all_0_13_13 = e2)
% 12.85/3.53 | (424) all_0_13_13 = e1 | all_0_13_13 = e0
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (424), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (425) all_0_13_13 = e1
% 12.85/3.53 |
% 12.85/3.53 | Equations (425) can reduce 93 to:
% 12.85/3.53 | (215) ~ (all_0_21_21 = e1)
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 215 yields:
% 12.85/3.53 | (216) ~ (all_0_21_21 = e1)
% 12.85/3.53 |
% 12.85/3.53 | Equations (425) can reduce 250 to:
% 12.85/3.53 | (610) ~ (e3 = e1)
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 610 yields:
% 12.85/3.53 | (85) ~ (e3 = e1)
% 12.85/3.53 |
% 12.85/3.53 | Equations (425) can reduce 398 to:
% 12.85/3.53 | (80) ~ (e1 = e0)
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (34), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (217) all_0_20_20 = e1
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (217,242) yields a new equation:
% 12.85/3.53 | (244) e3 = e1
% 12.85/3.53 |
% 12.85/3.53 | Equations (244) can reduce 85 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (492) ~ (all_0_20_20 = e1)
% 12.85/3.53 | (493) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (493), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (503) all_0_21_21 = e1
% 12.85/3.53 |
% 12.85/3.53 | Equations (503) can reduce 216 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (216) ~ (all_0_21_21 = e1)
% 12.85/3.53 | (506) all_0_22_22 = e1 | all_0_23_23 = e1
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (506), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (507) all_0_22_22 = e1
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (507,192) yields a new equation:
% 12.85/3.53 | (508) e1 = e0
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 508 yields:
% 12.85/3.53 | (359) e1 = e0
% 12.85/3.53 |
% 12.85/3.53 | Equations (359) can reduce 80 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (511) ~ (all_0_22_22 = e1)
% 12.85/3.53 | (362) all_0_23_23 = e1
% 12.85/3.53 |
% 12.85/3.53 | Equations (362) can reduce 169 to:
% 12.85/3.53 | (610) ~ (e3 = e1)
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 610 yields:
% 12.85/3.53 | (85) ~ (e3 = e1)
% 12.85/3.53 |
% 12.85/3.53 | Equations (362) can reduce 199 to:
% 12.85/3.53 | (80) ~ (e1 = e0)
% 12.85/3.53 |
% 12.85/3.53 +-Applying beta-rule and splitting (1036), into two cases.
% 12.85/3.53 |-Branch one:
% 12.85/3.53 | (458) all_0_14_14 = e1
% 12.85/3.53 |
% 12.85/3.53 | Combining equations (404,458) yields a new equation:
% 12.85/3.53 | (243) e3 = e1
% 12.85/3.53 |
% 12.85/3.53 | Simplifying 243 yields:
% 12.85/3.53 | (244) e3 = e1
% 12.85/3.53 |
% 12.85/3.53 | Equations (244) can reduce 85 to:
% 12.85/3.53 | (186) $false
% 12.85/3.53 |
% 12.85/3.53 |-The branch is then unsatisfiable
% 12.85/3.53 |-Branch two:
% 12.85/3.53 | (462) ~ (all_0_14_14 = e1)
% 12.85/3.54 | (1733) all_0_18_18 = e1 | all_0_22_22 = e1
% 12.85/3.54 |
% 12.85/3.54 | Equations (404) can reduce 462 to:
% 12.85/3.54 | (85) ~ (e3 = e1)
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (241), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (393) all_0_9_9 = e1
% 12.85/3.54 |
% 12.85/3.54 | Combining equations (393,202) yields a new equation:
% 12.85/3.54 | (244) e3 = e1
% 12.85/3.54 |
% 12.85/3.54 | Equations (244) can reduce 85 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (208) ~ (all_0_9_9 = e1)
% 12.85/3.54 | (1070) all_0_10_10 = e1 | all_0_11_11 = e1
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (1070), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (593) all_0_10_10 = e1
% 12.85/3.54 |
% 12.85/3.54 | Equations (593) can reduce 501 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (501) ~ (all_0_10_10 = e1)
% 12.85/3.54 | (287) all_0_11_11 = e1
% 12.85/3.54 |
% 12.85/3.54 | Combining equations (1477,287) yields a new equation:
% 12.85/3.54 | (359) e1 = e0
% 12.85/3.54 |
% 12.85/3.54 | Equations (359) can reduce 80 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (209) ~ (all_0_13_13 = e1)
% 12.85/3.54 | (326) all_0_13_13 = e0
% 12.85/3.54 |
% 12.85/3.54 | Equations (326) can reduce 398 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (246) ~ (all_0_20_20 = e3)
% 12.85/3.54 | (247) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (153), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (226) all_0_8_8 = e3
% 12.85/3.54 |
% 12.85/3.54 | Equations (226) can reduce 161 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (161) ~ (all_0_8_8 = e3)
% 12.85/3.54 | (229) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (247), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (248) all_0_21_21 = e3
% 12.85/3.54 |
% 12.85/3.54 | Equations (248) can reduce 483 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (483) ~ (all_0_21_21 = e3)
% 12.85/3.54 | (484) all_0_22_22 = e3 | all_0_23_23 = e3
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (229), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (320) all_0_12_12 = e3
% 12.85/3.54 |
% 12.85/3.54 | Combining equations (320,314) yields a new equation:
% 12.85/3.54 | (486) e3 = e0
% 12.85/3.54 |
% 12.85/3.54 | Simplifying 486 yields:
% 12.85/3.54 | (487) e3 = e0
% 12.85/3.54 |
% 12.85/3.54 | Equations (487) can reduce 21 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (324) ~ (all_0_12_12 = e3)
% 12.85/3.54 | (1684) all_0_16_16 = e3 | all_0_20_20 = e3
% 12.85/3.54 |
% 12.85/3.54 | Equations (314) can reduce 324 to:
% 12.85/3.54 | (793) ~ (e3 = e0)
% 12.85/3.54 |
% 12.85/3.54 | Simplifying 793 yields:
% 12.85/3.54 | (21) ~ (e3 = e0)
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (484), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (485) all_0_22_22 = e3
% 12.85/3.54 |
% 12.85/3.54 | Combining equations (192,485) yields a new equation:
% 12.85/3.54 | (487) e3 = e0
% 12.85/3.54 |
% 12.85/3.54 | Equations (487) can reduce 21 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (489) ~ (all_0_22_22 = e3)
% 12.85/3.54 | (234) all_0_23_23 = e3
% 12.85/3.54 |
% 12.85/3.54 | Equations (234) can reduce 169 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (680) ~ (all_0_17_17 = e0)
% 12.85/3.54 | (828) all_0_18_18 = e0 | all_0_19_19 = e0
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (66), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (368) all_0_9_9 = e0
% 12.85/3.54 |
% 12.85/3.54 | Combining equations (368,202) yields a new equation:
% 12.85/3.54 | (487) e3 = e0
% 12.85/3.54 |
% 12.85/3.54 | Equations (487) can reduce 21 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (327) ~ (all_0_9_9 = e0)
% 12.85/3.54 | (2038) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (2038), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (326) all_0_13_13 = e0
% 12.85/3.54 |
% 12.85/3.54 | Equations (326) can reduce 398 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (398) ~ (all_0_13_13 = e0)
% 12.85/3.54 | (2042) all_0_17_17 = e0 | all_0_21_21 = e0
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (2042), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (823) all_0_17_17 = e0
% 12.85/3.54 |
% 12.85/3.54 | Equations (823) can reduce 680 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (680) ~ (all_0_17_17 = e0)
% 12.85/3.54 | (652) all_0_21_21 = e0
% 12.85/3.54 |
% 12.85/3.54 | Equations (652) can reduce 197 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (167) ~ (all_0_19_19 = e3)
% 12.85/3.54 | (275) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (275), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (276) all_0_19_19 = e2
% 12.85/3.54 |
% 12.85/3.54 | Equations (276) can reduce 269 to:
% 12.85/3.54 | (186) $false
% 12.85/3.54 |
% 12.85/3.54 |-The branch is then unsatisfiable
% 12.85/3.54 |-Branch two:
% 12.85/3.54 | (269) ~ (all_0_19_19 = e2)
% 12.85/3.54 | (279) all_0_19_19 = e1 | all_0_19_19 = e0
% 12.85/3.54 |
% 12.85/3.54 +-Applying beta-rule and splitting (279), into two cases.
% 12.85/3.54 |-Branch one:
% 12.85/3.54 | (280) all_0_19_19 = e1
% 12.85/3.54 |
% 12.93/3.54 | Equations (280) can reduce 193 to:
% 12.93/3.54 | (186) $false
% 12.93/3.54 |
% 12.93/3.54 |-The branch is then unsatisfiable
% 12.93/3.54 |-Branch two:
% 12.93/3.54 | (193) ~ (all_0_19_19 = e1)
% 12.93/3.54 | (283) all_0_19_19 = e0
% 12.93/3.54 |
% 12.93/3.54 | Equations (283) can reduce 790 to:
% 12.93/3.54 | (186) $false
% 12.93/3.54 |
% 12.93/3.54 |-The branch is then unsatisfiable
% 12.93/3.54 |-Branch two:
% 12.93/3.54 | (465) ~ (all_0_14_14 = e3)
% 12.93/3.54 | (310) all_0_15_15 = e3
% 12.93/3.54 |
% 12.93/3.54 | Combining equations (939,310) yields a new equation:
% 12.93/3.54 | (259) e3 = e2
% 12.93/3.54 |
% 12.93/3.54 | Equations (259) can reduce 123 to:
% 12.93/3.54 | (186) $false
% 12.93/3.54 |
% 12.93/3.54 |-The branch is then unsatisfiable
% 12.93/3.54 |-Branch two:
% 12.93/3.54 | (317) ~ (all_0_12_12 = e0)
% 12.93/3.54 | (544) all_0_16_16 = e0 | all_0_20_20 = e0
% 12.93/3.54 |
% 12.93/3.54 +-Applying beta-rule and splitting (544), into two cases.
% 12.93/3.54 |-Branch one:
% 12.93/3.54 | (481) all_0_16_16 = e0
% 12.93/3.54 |
% 12.93/3.54 | Combining equations (481,478) yields a new equation:
% 12.93/3.54 | (359) e1 = e0
% 12.93/3.54 |
% 12.93/3.54 | Equations (359) can reduce 80 to:
% 12.93/3.54 | (186) $false
% 12.93/3.54 |
% 12.93/3.54 |-The branch is then unsatisfiable
% 12.93/3.54 |-Branch two:
% 12.93/3.54 | (284) ~ (all_0_16_16 = e0)
% 12.93/3.54 | (577) all_0_20_20 = e0
% 12.93/3.54 |
% 12.93/3.54 | Equations (577) can reduce 160 to:
% 12.93/3.54 | (186) $false
% 12.93/3.54 |
% 12.93/3.54 |-The branch is then unsatisfiable
% 12.93/3.54 |-Branch two:
% 12.93/3.54 | (205) all_0_17_17 = e1 & ~ (all_0_14_14 = e2)
% 12.93/3.54 |
% 12.93/3.54 | Applying alpha-rule on (205) yields:
% 12.93/3.54 | (206) all_0_17_17 = e1
% 12.93/3.54 | (177) ~ (all_0_14_14 = e2)
% 12.93/3.54 |
% 12.93/3.54 | Equations (206) can reduce 189 to:
% 12.93/3.54 | (186) $false
% 12.93/3.54 |
% 12.93/3.54 |-The branch is then unsatisfiable
% 12.93/3.54 |-Branch two:
% 12.93/3.54 | (651) all_0_21_21 = e0 & ~ (all_0_15_15 = e2)
% 12.93/3.54 |
% 12.93/3.54 | Applying alpha-rule on (651) yields:
% 12.93/3.54 | (652) all_0_21_21 = e0
% 12.93/3.54 | (653) ~ (all_0_15_15 = e2)
% 12.93/3.54 |
% 12.93/3.54 | Equations (652) can reduce 197 to:
% 12.93/3.54 | (186) $false
% 12.93/3.54 |
% 12.93/3.54 |-The branch is then unsatisfiable
% 12.93/3.54 |-Branch two:
% 12.93/3.54 | (1364) all_0_20_20 = e0 & ~ (all_0_11_11 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Applying alpha-rule on (1364) yields:
% 12.93/3.54 | (577) all_0_20_20 = e0
% 12.93/3.54 | (1366) ~ (all_0_11_11 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (577) can reduce 149 to:
% 12.93/3.54 | (354) ~ (all_0_8_8 = e0)
% 12.93/3.54 |
% 12.93/3.54 | Equations (577) can reduce 81 to:
% 12.93/3.54 | (317) ~ (all_0_12_12 = e0)
% 12.93/3.54 |
% 12.93/3.54 | Equations (577) can reduce 82 to:
% 12.93/3.54 | (284) ~ (all_0_16_16 = e0)
% 12.93/3.54 |
% 12.93/3.54 | Equations (577) can reduce 45 to:
% 12.93/3.54 | (1821) ~ (all_0_21_21 = e0)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 1821 yields:
% 12.93/3.54 | (197) ~ (all_0_21_21 = e0)
% 12.93/3.54 |
% 12.93/3.54 | Equations (577) can reduce 121 to:
% 12.93/3.54 | (682) ~ (all_0_22_22 = e0)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 682 yields:
% 12.93/3.54 | (683) ~ (all_0_22_22 = e0)
% 12.93/3.54 |
% 12.93/3.54 | Equations (577) can reduce 42 to:
% 12.93/3.54 | (198) ~ (all_0_23_23 = e0)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 198 yields:
% 12.93/3.54 | (199) ~ (all_0_23_23 = e0)
% 12.93/3.54 |
% 12.93/3.54 +-Applying beta-rule and splitting (73), into two cases.
% 12.93/3.54 |-Branch one:
% 12.93/3.54 | (182) (all_0_10_10 = e3 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = e2 & ~ (all_0_17_17 = e1))
% 12.93/3.54 |
% 12.93/3.54 +-Applying beta-rule and splitting (182), into two cases.
% 12.93/3.54 |-Branch one:
% 12.93/3.54 | (183) all_0_10_10 = e3 & ~ (all_0_16_16 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Applying alpha-rule on (183) yields:
% 12.93/3.54 | (184) all_0_10_10 = e3
% 12.93/3.54 | (185) ~ (all_0_16_16 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Equations (184) can reduce 76 to:
% 12.93/3.54 | (161) ~ (all_0_8_8 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (184) can reduce 7 to:
% 12.93/3.54 | (162) ~ (all_0_9_9 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (184) can reduce 55 to:
% 12.93/3.54 | (1400) ~ (all_0_11_11 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 1400 yields:
% 12.93/3.54 | (1366) ~ (all_0_11_11 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (184) can reduce 22 to:
% 12.93/3.54 | (1452) ~ (all_0_14_14 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 1452 yields:
% 12.93/3.54 | (465) ~ (all_0_14_14 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (184) can reduce 9 to:
% 12.93/3.54 | (406) ~ (all_0_18_18 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 406 yields:
% 12.93/3.54 | (407) ~ (all_0_18_18 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (184) can reduce 27 to:
% 12.93/3.54 | (2103) ~ (all_0_22_22 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 2103 yields:
% 12.93/3.54 | (489) ~ (all_0_22_22 = e3)
% 12.93/3.54 |
% 12.93/3.54 +-Applying beta-rule and splitting (119), into two cases.
% 12.93/3.54 |-Branch one:
% 12.93/3.54 | (200) (all_0_9_9 = e3 & ~ (all_0_12_12 = e2)) | (all_0_17_17 = e1 & ~ (all_0_14_14 = e2))
% 12.93/3.54 |
% 12.93/3.54 +-Applying beta-rule and splitting (200), into two cases.
% 12.93/3.54 |-Branch one:
% 12.93/3.54 | (201) all_0_9_9 = e3 & ~ (all_0_12_12 = e2)
% 12.93/3.54 |
% 12.93/3.54 | Applying alpha-rule on (201) yields:
% 12.93/3.54 | (202) all_0_9_9 = e3
% 12.93/3.54 | (203) ~ (all_0_12_12 = e2)
% 12.93/3.54 |
% 12.93/3.54 | Equations (202) can reduce 162 to:
% 12.93/3.54 | (186) $false
% 12.93/3.54 |
% 12.93/3.54 |-The branch is then unsatisfiable
% 12.93/3.54 |-Branch two:
% 12.93/3.54 | (205) all_0_17_17 = e1 & ~ (all_0_14_14 = e2)
% 12.93/3.54 |
% 12.93/3.54 | Applying alpha-rule on (205) yields:
% 12.93/3.54 | (206) all_0_17_17 = e1
% 12.93/3.54 | (177) ~ (all_0_14_14 = e2)
% 12.93/3.54 |
% 12.93/3.54 | Equations (206) can reduce 25 to:
% 12.93/3.54 | (208) ~ (all_0_9_9 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Equations (206) can reduce 48 to:
% 12.93/3.54 | (209) ~ (all_0_13_13 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Equations (206) can reduce 92 to:
% 12.93/3.54 | (185) ~ (all_0_16_16 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Equations (206) can reduce 120 to:
% 12.93/3.54 | (213) ~ (all_0_19_19 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 213 yields:
% 12.93/3.54 | (193) ~ (all_0_19_19 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Equations (206) can reduce 140 to:
% 12.93/3.54 | (215) ~ (all_0_21_21 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 215 yields:
% 12.93/3.54 | (216) ~ (all_0_21_21 = e1)
% 12.93/3.54 |
% 12.93/3.54 +-Applying beta-rule and splitting (41), into two cases.
% 12.93/3.54 |-Branch one:
% 12.93/3.54 | (320) all_0_12_12 = e3
% 12.93/3.54 |
% 12.93/3.54 | Equations (320) can reduce 105 to:
% 12.93/3.54 | (161) ~ (all_0_8_8 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (320) can reduce 18 to:
% 12.93/3.54 | (1402) ~ (all_0_13_13 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 1402 yields:
% 12.93/3.54 | (250) ~ (all_0_13_13 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (320) can reduce 4 to:
% 12.93/3.54 | (1452) ~ (all_0_14_14 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 1452 yields:
% 12.93/3.54 | (465) ~ (all_0_14_14 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (320) can reduce 37 to:
% 12.93/3.54 | (2126) ~ (all_0_16_16 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 2126 yields:
% 12.93/3.54 | (468) ~ (all_0_16_16 = e3)
% 12.93/3.54 |
% 12.93/3.54 | Equations (320) can reduce 203 to:
% 12.93/3.54 | (123) ~ (e3 = e2)
% 12.93/3.54 |
% 12.93/3.54 +-Applying beta-rule and splitting (137), into two cases.
% 12.93/3.54 |-Branch one:
% 12.93/3.54 | (292) all_0_16_16 = e3
% 12.93/3.54 |
% 12.93/3.54 | Equations (292) can reduce 468 to:
% 12.93/3.54 | (186) $false
% 12.93/3.54 |
% 12.93/3.54 |-The branch is then unsatisfiable
% 12.93/3.54 |-Branch two:
% 12.93/3.54 | (468) ~ (all_0_16_16 = e3)
% 12.93/3.54 | (469) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 12.93/3.54 |
% 12.93/3.54 +-Applying beta-rule and splitting (67), into two cases.
% 12.93/3.54 |-Branch one:
% 12.93/3.54 | (238) all_0_8_8 = e1
% 12.93/3.54 |
% 12.93/3.54 | Equations (238) can reduce 5 to:
% 12.93/3.54 | (2134) ~ (all_0_9_9 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Simplifying 2134 yields:
% 12.93/3.54 | (208) ~ (all_0_9_9 = e1)
% 12.93/3.54 |
% 12.93/3.54 | Equations (238) can reduce 65 to:
% 12.93/3.54 | (2136) ~ (all_0_16_16 = e1)
% 12.93/3.54 |
% 12.93/3.55 | Simplifying 2136 yields:
% 12.93/3.55 | (185) ~ (all_0_16_16 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Equations (238) can reduce 161 to:
% 12.93/3.55 | (610) ~ (e3 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 610 yields:
% 12.93/3.55 | (85) ~ (e3 = e1)
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (40), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (374) all_0_8_8 = e2
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (374,238) yields a new equation:
% 12.93/3.55 | (303) e2 = e1
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 303 yields:
% 12.93/3.55 | (253) e2 = e1
% 12.93/3.55 |
% 12.93/3.55 | Equations (253) can reduce 96 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (373) ~ (all_0_8_8 = e2)
% 12.93/3.55 | (1446) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (1446), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (172) all_0_12_12 = e2
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (320,172) yields a new equation:
% 12.93/3.55 | (258) e3 = e2
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 258 yields:
% 12.93/3.55 | (259) e3 = e2
% 12.93/3.55 |
% 12.93/3.55 | Equations (259) can reduce 123 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (203) ~ (all_0_12_12 = e2)
% 12.93/3.55 | (1625) all_0_16_16 = e2 | all_0_20_20 = e2
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (1625), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (295) all_0_16_16 = e2
% 12.93/3.55 |
% 12.93/3.55 | Equations (295) can reduce 468 to:
% 12.93/3.55 | (411) ~ (e3 = e2)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 411 yields:
% 12.93/3.55 | (123) ~ (e3 = e2)
% 12.93/3.55 |
% 12.93/3.55 | Equations (295) can reduce 185 to:
% 12.93/3.55 | (96) ~ (e2 = e1)
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (135), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (202) all_0_9_9 = e3
% 12.93/3.55 |
% 12.93/3.55 | Equations (202) can reduce 162 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (162) ~ (all_0_9_9 = e3)
% 12.93/3.55 | (539) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (132), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (527) all_0_18_18 = e3
% 12.93/3.55 |
% 12.93/3.55 | Equations (527) can reduce 407 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (407) ~ (all_0_18_18 = e3)
% 12.93/3.55 | (581) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (61), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (449) all_0_12_12 = e1
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (320,449) yields a new equation:
% 12.93/3.55 | (243) e3 = e1
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 243 yields:
% 12.93/3.55 | (244) e3 = e1
% 12.93/3.55 |
% 12.93/3.55 | Equations (244) can reduce 85 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (452) ~ (all_0_12_12 = e1)
% 12.93/3.55 | (453) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (453), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (425) all_0_13_13 = e1
% 12.93/3.55 |
% 12.93/3.55 | Equations (425) can reduce 209 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (209) ~ (all_0_13_13 = e1)
% 12.93/3.55 | (457) all_0_14_14 = e1 | all_0_15_15 = e1
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (457), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (458) all_0_14_14 = e1
% 12.93/3.55 |
% 12.93/3.55 | Equations (458) can reduce 53 to:
% 12.93/3.55 | (209) ~ (all_0_13_13 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Equations (458) can reduce 72 to:
% 12.93/3.55 | (211) ~ (all_0_18_18 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 211 yields:
% 12.93/3.55 | (212) ~ (all_0_18_18 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Equations (458) can reduce 68 to:
% 12.93/3.55 | (2178) ~ (all_0_22_22 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 2178 yields:
% 12.93/3.55 | (511) ~ (all_0_22_22 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Equations (458) can reduce 465 to:
% 12.93/3.55 | (610) ~ (e3 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 610 yields:
% 12.93/3.55 | (85) ~ (e3 = e1)
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (29), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (292) all_0_16_16 = e3
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (295,292) yields a new equation:
% 12.93/3.55 | (259) e3 = e2
% 12.93/3.55 |
% 12.93/3.55 | Equations (259) can reduce 123 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (468) ~ (all_0_16_16 = e3)
% 12.93/3.55 | (1711) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (95), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (400) all_0_13_13 = e3
% 12.93/3.55 |
% 12.93/3.55 | Equations (400) can reduce 250 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (250) ~ (all_0_13_13 = e3)
% 12.93/3.55 | (417) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (150), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (485) all_0_22_22 = e3
% 12.93/3.55 |
% 12.93/3.55 | Equations (485) can reduce 489 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (489) ~ (all_0_22_22 = e3)
% 12.93/3.55 | (1078) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (417), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (421) all_0_13_13 = e2
% 12.93/3.55 |
% 12.93/3.55 | Equations (421) can reduce 175 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (175) ~ (all_0_13_13 = e2)
% 12.93/3.55 | (424) all_0_13_13 = e1 | all_0_13_13 = e0
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (424), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (425) all_0_13_13 = e1
% 12.93/3.55 |
% 12.93/3.55 | Equations (425) can reduce 209 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (209) ~ (all_0_13_13 = e1)
% 12.93/3.55 | (326) all_0_13_13 = e0
% 12.93/3.55 |
% 12.93/3.55 | Equations (326) can reduce 69 to:
% 12.93/3.55 | (327) ~ (all_0_9_9 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Equations (326) can reduce 93 to:
% 12.93/3.55 | (1821) ~ (all_0_21_21 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 1821 yields:
% 12.93/3.55 | (197) ~ (all_0_21_21 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Equations (326) can reduce 250 to:
% 12.93/3.55 | (793) ~ (e3 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 793 yields:
% 12.93/3.55 | (21) ~ (e3 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Equations (326) can reduce 209 to:
% 12.93/3.55 | (331) ~ (e1 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 331 yields:
% 12.93/3.55 | (80) ~ (e1 = e0)
% 12.93/3.55 |
% 12.93/3.55 | From (326) and (130) follows:
% 12.93/3.55 | (328) op(all_0_7_7, e0) = all_0_6_6
% 12.93/3.55 |
% 12.93/3.55 | From (326)(326) and (56) follows:
% 12.93/3.55 | (329) op(e0, e0) = all_0_7_7
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (1078), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (263) all_0_22_22 = e2
% 12.93/3.55 |
% 12.93/3.55 | Equations (263) can reduce 91 to:
% 12.93/3.55 | (443) ~ (all_0_18_18 = e2)
% 12.93/3.55 |
% 12.93/3.55 | Equations (263) can reduce 2 to:
% 12.93/3.55 | (261) ~ (all_0_21_21 = e2)
% 12.93/3.55 |
% 12.93/3.55 | Equations (263) can reduce 511 to:
% 12.93/3.55 | (96) ~ (e2 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Equations (263) can reduce 683 to:
% 12.93/3.55 | (88) ~ (e2 = e0)
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (58), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (372) all_0_9_9 = e2
% 12.93/3.55 |
% 12.93/3.55 | Equations (372) can reduce 208 to:
% 12.93/3.55 | (96) ~ (e2 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Equations (372) can reduce 327 to:
% 12.93/3.55 | (88) ~ (e2 = e0)
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (87), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (330) all_0_8_8 = e0
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (330,238) yields a new equation:
% 12.93/3.55 | (359) e1 = e0
% 12.93/3.55 |
% 12.93/3.55 | Equations (359) can reduce 80 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (354) ~ (all_0_8_8 = e0)
% 12.93/3.55 | (367) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (367), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (368) all_0_9_9 = e0
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (368,372) yields a new equation:
% 12.93/3.55 | (265) e2 = e0
% 12.93/3.55 |
% 12.93/3.55 | Equations (265) can reduce 88 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (327) ~ (all_0_9_9 = e0)
% 12.93/3.55 | (371) all_0_10_10 = e0 | all_0_11_11 = e0
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (371), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (596) all_0_10_10 = e0
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (596,184) yields a new equation:
% 12.93/3.55 | (487) e3 = e0
% 12.93/3.55 |
% 12.93/3.55 | Equations (487) can reduce 21 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (194) ~ (all_0_10_10 = e0)
% 12.93/3.55 | (1477) all_0_11_11 = e0
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (581), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (410) all_0_18_18 = e2
% 12.93/3.55 |
% 12.93/3.55 | Equations (410) can reduce 443 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (443) ~ (all_0_18_18 = e2)
% 12.93/3.55 | (585) all_0_18_18 = e1 | all_0_18_18 = e0
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (585), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (586) all_0_18_18 = e1
% 12.93/3.55 |
% 12.93/3.55 | Equations (586) can reduce 212 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (212) ~ (all_0_18_18 = e1)
% 12.93/3.55 | (589) all_0_18_18 = e0
% 12.93/3.55 |
% 12.93/3.55 | Equations (589) can reduce 407 to:
% 12.93/3.55 | (793) ~ (e3 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 793 yields:
% 12.93/3.55 | (21) ~ (e3 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Equations (589) can reduce 212 to:
% 12.93/3.55 | (331) ~ (e1 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 331 yields:
% 12.93/3.55 | (80) ~ (e1 = e0)
% 12.93/3.55 |
% 12.93/3.55 | From (589) and (12) follows:
% 12.93/3.55 | (2247) op(all_0_3_3, e0) = all_0_2_2
% 12.93/3.55 |
% 12.93/3.55 | From (589)(589) and (77) follows:
% 12.93/3.55 | (2248) op(e0, e0) = all_0_3_3
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (143), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (248) all_0_21_21 = e3
% 12.93/3.55 |
% 12.93/3.55 | Equations (248) can reduce 216 to:
% 12.93/3.55 | (85) ~ (e3 = e1)
% 12.93/3.55 |
% 12.93/3.55 | Equations (248) can reduce 197 to:
% 12.93/3.55 | (21) ~ (e3 = e0)
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (8), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (159) all_0_11_11 = e3
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (159,1477) yields a new equation:
% 12.93/3.55 | (486) e3 = e0
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 486 yields:
% 12.93/3.55 | (487) e3 = e0
% 12.93/3.55 |
% 12.93/3.55 | Equations (487) can reduce 21 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (1366) ~ (all_0_11_11 = e3)
% 12.93/3.55 | (1506) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 12.93/3.55 |
% 12.93/3.55 | Equations (1477) can reduce 1366 to:
% 12.93/3.55 | (793) ~ (e3 = e0)
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 793 yields:
% 12.93/3.55 | (21) ~ (e3 = e0)
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (1711), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (570) all_0_17_17 = e3
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (206,570) yields a new equation:
% 12.93/3.55 | (244) e3 = e1
% 12.93/3.55 |
% 12.93/3.55 | Equations (244) can reduce 85 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (573) ~ (all_0_17_17 = e3)
% 12.93/3.55 | (1720) all_0_18_18 = e3 | all_0_19_19 = e3
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (117), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (287) all_0_11_11 = e1
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (287,1477) yields a new equation:
% 12.93/3.55 | (508) e1 = e0
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 508 yields:
% 12.93/3.55 | (359) e1 = e0
% 12.93/3.55 |
% 12.93/3.55 | Equations (359) can reduce 80 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (290) ~ (all_0_11_11 = e1)
% 12.93/3.55 | (291) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (291), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (335) all_0_15_15 = e1
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (939,335) yields a new equation:
% 12.93/3.55 | (303) e2 = e1
% 12.93/3.55 |
% 12.93/3.55 | Simplifying 303 yields:
% 12.93/3.55 | (253) e2 = e1
% 12.93/3.55 |
% 12.93/3.55 | Equations (253) can reduce 96 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (356) ~ (all_0_15_15 = e1)
% 12.93/3.55 | (357) all_0_19_19 = e1 | all_0_23_23 = e1
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (357), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (280) all_0_19_19 = e1
% 12.93/3.55 |
% 12.93/3.55 | Equations (280) can reduce 193 to:
% 12.93/3.55 | (186) $false
% 12.93/3.55 |
% 12.93/3.55 |-The branch is then unsatisfiable
% 12.93/3.55 |-Branch two:
% 12.93/3.55 | (193) ~ (all_0_19_19 = e1)
% 12.93/3.55 | (362) all_0_23_23 = e1
% 12.93/3.55 |
% 12.93/3.55 | From (362) and (133) follows:
% 12.93/3.55 | (2281) op(e0, e0) = e1
% 12.93/3.55 |
% 12.93/3.55 +-Applying beta-rule and splitting (104), into two cases.
% 12.93/3.55 |-Branch one:
% 12.93/3.55 | (272) all_0_19_19 = e3
% 12.93/3.55 |
% 12.93/3.55 | From (272) and (110) follows:
% 12.93/3.55 | (2283) op(e1, e0) = e3
% 12.93/3.55 |
% 12.93/3.55 | Instantiating formula (35) with e0, e0, all_0_7_7, all_0_3_3 and discharging atoms op(e0, e0) = all_0_3_3, op(e0, e0) = all_0_7_7, yields:
% 12.93/3.55 | (550) all_0_3_3 = all_0_7_7
% 12.93/3.55 |
% 12.93/3.55 | Instantiating formula (35) with e0, e0, e1, all_0_3_3 and discharging atoms op(e0, e0) = all_0_3_3, op(e0, e0) = e1, yields:
% 12.93/3.55 | (551) all_0_3_3 = e1
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (551,550) yields a new equation:
% 12.93/3.55 | (553) all_0_7_7 = e1
% 12.93/3.55 |
% 12.93/3.55 | Combining equations (553,550) yields a new equation:
% 12.93/3.55 | (551) all_0_3_3 = e1
% 12.93/3.55 |
% 12.93/3.55 | From (551) and (2247) follows:
% 12.93/3.55 | (2288) op(e1, e0) = all_0_2_2
% 12.93/3.55 |
% 12.93/3.55 | From (553) and (328) follows:
% 12.93/3.56 | (2289) op(e1, e0) = all_0_6_6
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (62), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (850) ~ (all_0_6_6 = e3)
% 12.93/3.56 |
% 12.93/3.56 | Instantiating formula (35) with e1, e0, all_0_2_2, e3 and discharging atoms op(e1, e0) = all_0_2_2, op(e1, e0) = e3, yields:
% 12.93/3.56 | (2291) all_0_2_2 = e3
% 12.93/3.56 |
% 12.93/3.56 | Instantiating formula (35) with e1, e0, all_0_6_6, all_0_2_2 and discharging atoms op(e1, e0) = all_0_2_2, op(e1, e0) = all_0_6_6, yields:
% 12.93/3.56 | (558) all_0_2_2 = all_0_6_6
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (2291,558) yields a new equation:
% 12.93/3.56 | (853) all_0_6_6 = e3
% 12.93/3.56 |
% 12.93/3.56 | Equations (853) can reduce 850 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (853) all_0_6_6 = e3
% 12.93/3.56 | (2296) ~ (all_0_7_7 = e1) | ~ (all_0_13_13 = e0)
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (2296), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (563) ~ (all_0_7_7 = e1)
% 12.93/3.56 |
% 12.93/3.56 | Equations (553) can reduce 563 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (553) all_0_7_7 = e1
% 12.93/3.56 | (398) ~ (all_0_13_13 = e0)
% 12.93/3.56 |
% 12.93/3.56 | Equations (326) can reduce 398 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (167) ~ (all_0_19_19 = e3)
% 12.93/3.56 | (275) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (1720), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (527) all_0_18_18 = e3
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (589,527) yields a new equation:
% 12.93/3.56 | (487) e3 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (487) can reduce 21 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (407) ~ (all_0_18_18 = e3)
% 12.93/3.56 | (272) all_0_19_19 = e3
% 12.93/3.56 |
% 12.93/3.56 | Equations (272) can reduce 167 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (483) ~ (all_0_21_21 = e3)
% 12.93/3.56 | (535) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (1711), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (570) all_0_17_17 = e3
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (206,570) yields a new equation:
% 12.93/3.56 | (244) e3 = e1
% 12.93/3.56 |
% 12.93/3.56 | Equations (244) can reduce 85 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (573) ~ (all_0_17_17 = e3)
% 12.93/3.56 | (1720) all_0_18_18 = e3 | all_0_19_19 = e3
% 12.93/3.56 |
% 12.93/3.56 | Equations (206) can reduce 573 to:
% 12.93/3.56 | (610) ~ (e3 = e1)
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 610 yields:
% 12.93/3.56 | (85) ~ (e3 = e1)
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (539), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (400) all_0_13_13 = e3
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (400,326) yields a new equation:
% 12.93/3.56 | (486) e3 = e0
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 486 yields:
% 12.93/3.56 | (487) e3 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (487) can reduce 21 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (250) ~ (all_0_13_13 = e3)
% 12.93/3.56 | (569) all_0_17_17 = e3 | all_0_21_21 = e3
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (569), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (570) all_0_17_17 = e3
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (206,570) yields a new equation:
% 12.93/3.56 | (244) e3 = e1
% 12.93/3.56 |
% 12.93/3.56 | Equations (244) can reduce 85 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (573) ~ (all_0_17_17 = e3)
% 12.93/3.56 | (248) all_0_21_21 = e3
% 12.93/3.56 |
% 12.93/3.56 | Equations (248) can reduce 483 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (383) ~ (all_0_9_9 = e2)
% 12.93/3.56 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (384), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (421) all_0_13_13 = e2
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (421,326) yields a new equation:
% 12.93/3.56 | (264) e2 = e0
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 264 yields:
% 12.93/3.56 | (265) e2 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (265) can reduce 88 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (175) ~ (all_0_13_13 = e2)
% 12.93/3.56 | (435) all_0_17_17 = e2 | all_0_21_21 = e2
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (435), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (302) all_0_17_17 = e2
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (302,206) yields a new equation:
% 12.93/3.56 | (303) e2 = e1
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 303 yields:
% 12.93/3.56 | (253) e2 = e1
% 12.93/3.56 |
% 12.93/3.56 | Equations (253) can reduce 96 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (306) ~ (all_0_17_17 = e2)
% 12.93/3.56 | (257) all_0_21_21 = e2
% 12.93/3.56 |
% 12.93/3.56 | Equations (257) can reduce 261 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (267) ~ (all_0_22_22 = e2)
% 12.93/3.56 | (1086) all_0_22_22 = e1 | all_0_22_22 = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (1086), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (507) all_0_22_22 = e1
% 12.93/3.56 |
% 12.93/3.56 | Equations (507) can reduce 511 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (511) ~ (all_0_22_22 = e1)
% 12.93/3.56 | (192) all_0_22_22 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (192) can reduce 683 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (462) ~ (all_0_14_14 = e1)
% 12.93/3.56 | (335) all_0_15_15 = e1
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (939,335) yields a new equation:
% 12.93/3.56 | (303) e2 = e1
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 303 yields:
% 12.93/3.56 | (253) e2 = e1
% 12.93/3.56 |
% 12.93/3.56 | Equations (253) can reduce 96 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (179) ~ (all_0_16_16 = e2)
% 12.93/3.56 | (252) all_0_20_20 = e2
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (252,577) yields a new equation:
% 12.93/3.56 | (264) e2 = e0
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 264 yields:
% 12.93/3.56 | (265) e2 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (265) can reduce 88 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (218) ~ (all_0_8_8 = e1)
% 12.93/3.56 | (599) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (152), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (226) all_0_8_8 = e3
% 12.93/3.56 |
% 12.93/3.56 | Equations (226) can reduce 161 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (161) ~ (all_0_8_8 = e3)
% 12.93/3.56 | (233) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (469), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (295) all_0_16_16 = e2
% 12.93/3.56 |
% 12.93/3.56 | Equations (295) can reduce 65 to:
% 12.93/3.56 | (373) ~ (all_0_8_8 = e2)
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (233), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (374) all_0_8_8 = e2
% 12.93/3.56 |
% 12.93/3.56 | Equations (374) can reduce 373 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (373) ~ (all_0_8_8 = e2)
% 12.93/3.56 | (377) all_0_8_8 = e1 | all_0_8_8 = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (377), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (238) all_0_8_8 = e1
% 12.93/3.56 |
% 12.93/3.56 | Equations (238) can reduce 218 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (218) ~ (all_0_8_8 = e1)
% 12.93/3.56 | (330) all_0_8_8 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (330) can reduce 354 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (179) ~ (all_0_16_16 = e2)
% 12.93/3.56 | (477) all_0_16_16 = e1 | all_0_16_16 = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (477), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (478) all_0_16_16 = e1
% 12.93/3.56 |
% 12.93/3.56 | Equations (478) can reduce 185 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (185) ~ (all_0_16_16 = e1)
% 12.93/3.56 | (481) all_0_16_16 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (481) can reduce 284 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (324) ~ (all_0_12_12 = e3)
% 12.93/3.56 | (1649) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (153), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (226) all_0_8_8 = e3
% 12.93/3.56 |
% 12.93/3.56 | Equations (226) can reduce 161 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (161) ~ (all_0_8_8 = e3)
% 12.93/3.56 | (229) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (106), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (320) all_0_12_12 = e3
% 12.93/3.56 |
% 12.93/3.56 | Equations (320) can reduce 324 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (324) ~ (all_0_12_12 = e3)
% 12.93/3.56 | (325) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (1649), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (172) all_0_12_12 = e2
% 12.93/3.56 |
% 12.93/3.56 | Equations (172) can reduce 203 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (203) ~ (all_0_12_12 = e2)
% 12.93/3.56 | (2400) all_0_12_12 = e1 | all_0_12_12 = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (325), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (400) all_0_13_13 = e3
% 12.93/3.56 |
% 12.93/3.56 | Equations (400) can reduce 69 to:
% 12.93/3.56 | (162) ~ (all_0_9_9 = e3)
% 12.93/3.56 |
% 12.93/3.56 | Equations (400) can reduce 18 to:
% 12.93/3.56 | (324) ~ (all_0_12_12 = e3)
% 12.93/3.56 |
% 12.93/3.56 | Equations (400) can reduce 53 to:
% 12.93/3.56 | (1452) ~ (all_0_14_14 = e3)
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 1452 yields:
% 12.93/3.56 | (465) ~ (all_0_14_14 = e3)
% 12.93/3.56 |
% 12.93/3.56 | Equations (400) can reduce 93 to:
% 12.93/3.56 | (495) ~ (all_0_21_21 = e3)
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 495 yields:
% 12.93/3.56 | (483) ~ (all_0_21_21 = e3)
% 12.93/3.56 |
% 12.93/3.56 | Equations (400) can reduce 175 to:
% 12.93/3.56 | (123) ~ (e3 = e2)
% 12.93/3.56 |
% 12.93/3.56 | From (400) and (103) follows:
% 12.93/3.56 | (2409) op(e2, e2) = e3
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (66), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (368) all_0_9_9 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (368) can reduce 112 to:
% 12.93/3.56 | (1429) ~ (all_0_11_11 = e0)
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 1429 yields:
% 12.93/3.56 | (1430) ~ (all_0_11_11 = e0)
% 12.93/3.56 |
% 12.93/3.56 | Equations (368) can reduce 100 to:
% 12.93/3.56 | (1821) ~ (all_0_21_21 = e0)
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 1821 yields:
% 12.93/3.56 | (197) ~ (all_0_21_21 = e0)
% 12.93/3.56 |
% 12.93/3.56 | Equations (368) can reduce 162 to:
% 12.93/3.56 | (793) ~ (e3 = e0)
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 793 yields:
% 12.93/3.56 | (21) ~ (e3 = e0)
% 12.93/3.56 |
% 12.93/3.56 | From (368) and (156) follows:
% 12.93/3.56 | (2417) op(e3, e2) = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (99), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (1477) all_0_11_11 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (1477) can reduce 1430 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (1430) ~ (all_0_11_11 = e0)
% 12.93/3.56 | (1480) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (58), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (372) all_0_9_9 = e2
% 12.93/3.56 |
% 12.93/3.56 | Combining equations (372,368) yields a new equation:
% 12.93/3.56 | (264) e2 = e0
% 12.93/3.56 |
% 12.93/3.56 | Simplifying 264 yields:
% 12.93/3.56 | (265) e2 = e0
% 12.93/3.56 |
% 12.93/3.56 | Equations (265) can reduce 88 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (383) ~ (all_0_9_9 = e2)
% 12.93/3.56 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 12.93/3.56 |
% 12.93/3.56 +-Applying beta-rule and splitting (229), into two cases.
% 12.93/3.56 |-Branch one:
% 12.93/3.56 | (320) all_0_12_12 = e3
% 12.93/3.56 |
% 12.93/3.56 | Equations (320) can reduce 324 to:
% 12.93/3.56 | (186) $false
% 12.93/3.56 |
% 12.93/3.56 |-The branch is then unsatisfiable
% 12.93/3.56 |-Branch two:
% 12.93/3.56 | (324) ~ (all_0_12_12 = e3)
% 12.93/3.56 | (1684) all_0_16_16 = e3 | all_0_20_20 = e3
% 12.93/3.56 |
% 12.93/3.57 +-Applying beta-rule and splitting (1684), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (292) all_0_16_16 = e3
% 12.93/3.57 |
% 12.93/3.57 | Equations (292) can reduce 37 to:
% 12.93/3.57 | (324) ~ (all_0_12_12 = e3)
% 12.93/3.57 |
% 12.93/3.57 | Equations (292) can reduce 89 to:
% 12.93/3.57 | (406) ~ (all_0_18_18 = e3)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 406 yields:
% 12.93/3.57 | (407) ~ (all_0_18_18 = e3)
% 12.93/3.57 |
% 12.93/3.57 | Equations (292) can reduce 24 to:
% 12.93/3.57 | (166) ~ (all_0_19_19 = e3)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 166 yields:
% 12.93/3.57 | (167) ~ (all_0_19_19 = e3)
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (8), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (159) all_0_11_11 = e3
% 12.93/3.57 |
% 12.93/3.57 | Equations (159) can reduce 1366 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (1366) ~ (all_0_11_11 = e3)
% 12.93/3.57 | (1506) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (1506), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (310) all_0_15_15 = e3
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (939,310) yields a new equation:
% 12.93/3.57 | (259) e3 = e2
% 12.93/3.57 |
% 12.93/3.57 | Equations (259) can reduce 123 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (165) ~ (all_0_15_15 = e3)
% 12.93/3.57 | (1511) all_0_19_19 = e3 | all_0_23_23 = e3
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (1511), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (272) all_0_19_19 = e3
% 12.93/3.57 |
% 12.93/3.57 | Equations (272) can reduce 167 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (167) ~ (all_0_19_19 = e3)
% 12.93/3.57 | (234) all_0_23_23 = e3
% 12.93/3.57 |
% 12.93/3.57 | Equations (234) can reduce 26 to:
% 12.93/3.57 | (167) ~ (all_0_19_19 = e3)
% 12.93/3.57 |
% 12.93/3.57 | Equations (234) can reduce 146 to:
% 12.93/3.57 | (483) ~ (all_0_21_21 = e3)
% 12.93/3.57 |
% 12.93/3.57 | Equations (234) can reduce 31 to:
% 12.93/3.57 | (489) ~ (all_0_22_22 = e3)
% 12.93/3.57 |
% 12.93/3.57 | Equations (234) can reduce 732 to:
% 12.93/3.57 | (123) ~ (e3 = e2)
% 12.93/3.57 |
% 12.93/3.57 | Equations (234) can reduce 199 to:
% 12.93/3.57 | (21) ~ (e3 = e0)
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (384), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (421) all_0_13_13 = e2
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (400,421) yields a new equation:
% 12.93/3.57 | (258) e3 = e2
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 258 yields:
% 12.93/3.57 | (259) e3 = e2
% 12.93/3.57 |
% 12.93/3.57 | Equations (259) can reduce 123 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (175) ~ (all_0_13_13 = e2)
% 12.93/3.57 | (435) all_0_17_17 = e2 | all_0_21_21 = e2
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (435), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (302) all_0_17_17 = e2
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (206,302) yields a new equation:
% 12.93/3.57 | (253) e2 = e1
% 12.93/3.57 |
% 12.93/3.57 | Equations (253) can reduce 96 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (306) ~ (all_0_17_17 = e2)
% 12.93/3.57 | (257) all_0_21_21 = e2
% 12.93/3.57 |
% 12.93/3.57 | Equations (257) can reduce 2 to:
% 12.93/3.57 | (700) ~ (all_0_22_22 = e2)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 700 yields:
% 12.93/3.57 | (267) ~ (all_0_22_22 = e2)
% 12.93/3.57 |
% 12.93/3.57 | Equations (257) can reduce 483 to:
% 12.93/3.57 | (411) ~ (e3 = e2)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 411 yields:
% 12.93/3.57 | (123) ~ (e3 = e2)
% 12.93/3.57 |
% 12.93/3.57 | Equations (257) can reduce 197 to:
% 12.93/3.57 | (88) ~ (e2 = e0)
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (150), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (485) all_0_22_22 = e3
% 12.93/3.57 |
% 12.93/3.57 | Equations (485) can reduce 489 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (489) ~ (all_0_22_22 = e3)
% 12.93/3.57 | (1078) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (1078), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (263) all_0_22_22 = e2
% 12.93/3.57 |
% 12.93/3.57 | Equations (263) can reduce 267 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (267) ~ (all_0_22_22 = e2)
% 12.93/3.57 | (1086) all_0_22_22 = e1 | all_0_22_22 = e0
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (1086), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (507) all_0_22_22 = e1
% 12.93/3.57 |
% 12.93/3.57 | Equations (507) can reduce 68 to:
% 12.93/3.57 | (462) ~ (all_0_14_14 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Equations (507) can reduce 489 to:
% 12.93/3.57 | (610) ~ (e3 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 610 yields:
% 12.93/3.57 | (85) ~ (e3 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Equations (507) can reduce 267 to:
% 12.93/3.57 | (224) ~ (e2 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 224 yields:
% 12.93/3.57 | (96) ~ (e2 = e1)
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (1480), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (787) all_0_15_15 = e0
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (787,939) yields a new equation:
% 12.93/3.57 | (265) e2 = e0
% 12.93/3.57 |
% 12.93/3.57 | Equations (265) can reduce 88 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (1162) ~ (all_0_15_15 = e0)
% 12.93/3.57 | (1486) all_0_19_19 = e0 | all_0_23_23 = e0
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (61), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (449) all_0_12_12 = e1
% 12.93/3.57 |
% 12.93/3.57 | Equations (449) can reduce 105 to:
% 12.93/3.57 | (218) ~ (all_0_8_8 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Equations (449) can reduce 4 to:
% 12.93/3.57 | (2493) ~ (all_0_14_14 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 2493 yields:
% 12.93/3.57 | (462) ~ (all_0_14_14 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Equations (449) can reduce 324 to:
% 12.93/3.57 | (610) ~ (e3 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 610 yields:
% 12.93/3.57 | (85) ~ (e3 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Equations (449) can reduce 203 to:
% 12.93/3.57 | (224) ~ (e2 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 224 yields:
% 12.93/3.57 | (96) ~ (e2 = e1)
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (1486), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (283) all_0_19_19 = e0
% 12.93/3.57 |
% 12.93/3.57 | Equations (283) can reduce 136 to:
% 12.93/3.57 | (195) ~ (all_0_18_18 = e0)
% 12.93/3.57 |
% 12.93/3.57 | Equations (283) can reduce 167 to:
% 12.93/3.57 | (793) ~ (e3 = e0)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 793 yields:
% 12.93/3.57 | (21) ~ (e3 = e0)
% 12.93/3.57 |
% 12.93/3.57 | Equations (283) can reduce 193 to:
% 12.93/3.57 | (331) ~ (e1 = e0)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 331 yields:
% 12.93/3.57 | (80) ~ (e1 = e0)
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (132), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (527) all_0_18_18 = e3
% 12.93/3.57 |
% 12.93/3.57 | Equations (527) can reduce 407 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (407) ~ (all_0_18_18 = e3)
% 12.93/3.57 | (581) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (111), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (596) all_0_10_10 = e0
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (596,184) yields a new equation:
% 12.93/3.57 | (487) e3 = e0
% 12.93/3.57 |
% 12.93/3.57 | Equations (487) can reduce 21 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (194) ~ (all_0_10_10 = e0)
% 12.93/3.57 | (834) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (17), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (523) all_0_10_10 = e2
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (523,184) yields a new equation:
% 12.93/3.57 | (259) e3 = e2
% 12.93/3.57 |
% 12.93/3.57 | Equations (259) can reduce 123 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (591) ~ (all_0_10_10 = e2)
% 12.93/3.57 | (2518) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (2518), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (188) all_0_14_14 = e2
% 12.93/3.57 |
% 12.93/3.57 | Equations (188) can reduce 177 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (177) ~ (all_0_14_14 = e2)
% 12.93/3.57 | (2522) all_0_18_18 = e2 | all_0_22_22 = e2
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (2522), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (410) all_0_18_18 = e2
% 12.93/3.57 |
% 12.93/3.57 | Equations (410) can reduce 72 to:
% 12.93/3.57 | (177) ~ (all_0_14_14 = e2)
% 12.93/3.57 |
% 12.93/3.57 | Equations (410) can reduce 407 to:
% 12.93/3.57 | (411) ~ (e3 = e2)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 411 yields:
% 12.93/3.57 | (123) ~ (e3 = e2)
% 12.93/3.57 |
% 12.93/3.57 | Equations (410) can reduce 195 to:
% 12.93/3.57 | (88) ~ (e2 = e0)
% 12.93/3.57 |
% 12.93/3.57 | From (410) and (12) follows:
% 12.93/3.57 | (1858) op(all_0_3_3, e2) = all_0_2_2
% 12.93/3.57 |
% 12.93/3.57 | From (410)(410) and (77) follows:
% 12.93/3.57 | (1859) op(e2, e2) = all_0_3_3
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (71), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (314) all_0_12_12 = e0
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (314,449) yields a new equation:
% 12.93/3.57 | (359) e1 = e0
% 12.93/3.57 |
% 12.93/3.57 | Equations (359) can reduce 80 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (317) ~ (all_0_12_12 = e0)
% 12.93/3.57 | (318) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 12.93/3.57 |
% 12.93/3.57 | Equations (449) can reduce 317 to:
% 12.93/3.57 | (80) ~ (e1 = e0)
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (834), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (782) all_0_14_14 = e0
% 12.93/3.57 |
% 12.93/3.57 | Equations (782) can reduce 177 to:
% 12.93/3.57 | (285) ~ (e2 = e0)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 285 yields:
% 12.93/3.57 | (88) ~ (e2 = e0)
% 12.93/3.57 |
% 12.93/3.57 | Equations (782) can reduce 462 to:
% 12.93/3.57 | (331) ~ (e1 = e0)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 331 yields:
% 12.93/3.57 | (80) ~ (e1 = e0)
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (154), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (238) all_0_8_8 = e1
% 12.93/3.57 |
% 12.93/3.57 | Equations (238) can reduce 218 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (218) ~ (all_0_8_8 = e1)
% 12.93/3.57 | (241) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (241), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (393) all_0_9_9 = e1
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (393,368) yields a new equation:
% 12.93/3.57 | (508) e1 = e0
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 508 yields:
% 12.93/3.57 | (359) e1 = e0
% 12.93/3.57 |
% 12.93/3.57 | Equations (359) can reduce 80 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (208) ~ (all_0_9_9 = e1)
% 12.93/3.57 | (1070) all_0_10_10 = e1 | all_0_11_11 = e1
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (1070), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (593) all_0_10_10 = e1
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (593,184) yields a new equation:
% 12.93/3.57 | (244) e3 = e1
% 12.93/3.57 |
% 12.93/3.57 | Equations (244) can reduce 85 to:
% 12.93/3.57 | (186) $false
% 12.93/3.57 |
% 12.93/3.57 |-The branch is then unsatisfiable
% 12.93/3.57 |-Branch two:
% 12.93/3.57 | (501) ~ (all_0_10_10 = e1)
% 12.93/3.57 | (287) all_0_11_11 = e1
% 12.93/3.57 |
% 12.93/3.57 | Equations (287) can reduce 1371 to:
% 12.93/3.57 | (224) ~ (e2 = e1)
% 12.93/3.57 |
% 12.93/3.57 | Simplifying 224 yields:
% 12.93/3.57 | (96) ~ (e2 = e1)
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (40), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (374) all_0_8_8 = e2
% 12.93/3.57 |
% 12.93/3.57 | From (374) and (134) follows:
% 12.93/3.57 | (1874) op(all_0_5_5, e2) = all_0_4_4
% 12.93/3.57 |
% 12.93/3.57 | From (374)(374) and (144) follows:
% 12.93/3.57 | (1875) op(e2, e2) = all_0_5_5
% 12.93/3.57 |
% 12.93/3.57 | Instantiating formula (35) with e2, e2, all_0_5_5, all_0_3_3 and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = all_0_5_5, yields:
% 12.93/3.57 | (1876) all_0_3_3 = all_0_5_5
% 12.93/3.57 |
% 12.93/3.57 | Instantiating formula (35) with e2, e2, e3, all_0_3_3 and discharging atoms op(e2, e2) = all_0_3_3, op(e2, e2) = e3, yields:
% 12.93/3.57 | (2562) all_0_3_3 = e3
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (2562,1876) yields a new equation:
% 12.93/3.57 | (1547) all_0_5_5 = e3
% 12.93/3.57 |
% 12.93/3.57 | Combining equations (1547,1876) yields a new equation:
% 12.93/3.57 | (2562) all_0_3_3 = e3
% 12.93/3.57 |
% 12.93/3.57 | From (2562) and (1858) follows:
% 12.93/3.57 | (2565) op(e3, e2) = all_0_2_2
% 12.93/3.57 |
% 12.93/3.57 | From (1547) and (1874) follows:
% 12.93/3.57 | (2566) op(e3, e2) = all_0_4_4
% 12.93/3.57 |
% 12.93/3.57 +-Applying beta-rule and splitting (33), into two cases.
% 12.93/3.57 |-Branch one:
% 12.93/3.57 | (1185) ~ (all_0_2_2 = e0)
% 12.93/3.57 |
% 12.93/3.57 | Instantiating formula (35) with e3, e2, all_0_2_2, e0 and discharging atoms op(e3, e2) = all_0_2_2, op(e3, e2) = e0, yields:
% 12.93/3.57 | (557) all_0_2_2 = e0
% 12.93/3.57 |
% 12.93/3.57 | Instantiating formula (35) with e3, e2, all_0_4_4, all_0_2_2 and discharging atoms op(e3, e2) = all_0_2_2, op(e3, e2) = all_0_4_4, yields:
% 12.93/3.58 | (1884) all_0_2_2 = all_0_4_4
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (557,1884) yields a new equation:
% 12.93/3.58 | (1885) all_0_4_4 = e0
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (1885,1884) yields a new equation:
% 12.93/3.58 | (557) all_0_2_2 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (557) can reduce 1185 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (557) all_0_2_2 = e0
% 12.93/3.58 | (2574) ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e2)
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (2574), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (2575) ~ (all_0_3_3 = e3)
% 12.93/3.58 |
% 12.93/3.58 | Equations (2562) can reduce 2575 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (2562) all_0_3_3 = e3
% 12.93/3.58 | (443) ~ (all_0_18_18 = e2)
% 12.93/3.58 |
% 12.93/3.58 | Equations (410) can reduce 443 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (373) ~ (all_0_8_8 = e2)
% 12.93/3.58 | (1446) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (23), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (374) all_0_8_8 = e2
% 12.93/3.58 |
% 12.93/3.58 | Equations (374) can reduce 373 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (373) ~ (all_0_8_8 = e2)
% 12.93/3.58 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (742), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (372) all_0_9_9 = e2
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (372,368) yields a new equation:
% 12.93/3.58 | (264) e2 = e0
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 264 yields:
% 12.93/3.58 | (265) e2 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (265) can reduce 88 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (383) ~ (all_0_9_9 = e2)
% 12.93/3.58 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (930), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (523) all_0_10_10 = e2
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (523,184) yields a new equation:
% 12.93/3.58 | (259) e3 = e2
% 12.93/3.58 |
% 12.93/3.58 | Equations (259) can reduce 123 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (591) ~ (all_0_10_10 = e2)
% 12.93/3.58 | (961) all_0_11_11 = e2
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (287,961) yields a new equation:
% 12.93/3.58 | (253) e2 = e1
% 12.93/3.58 |
% 12.93/3.58 | Equations (253) can reduce 96 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (786) ~ (all_0_14_14 = e0)
% 12.93/3.58 | (840) all_0_18_18 = e0 | all_0_22_22 = e0
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (840), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (589) all_0_18_18 = e0
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (410,589) yields a new equation:
% 12.93/3.58 | (264) e2 = e0
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 264 yields:
% 12.93/3.58 | (265) e2 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (265) can reduce 88 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (195) ~ (all_0_18_18 = e0)
% 12.93/3.58 | (192) all_0_22_22 = e0
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (507,192) yields a new equation:
% 12.93/3.58 | (508) e1 = e0
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 508 yields:
% 12.93/3.58 | (359) e1 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (359) can reduce 80 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (443) ~ (all_0_18_18 = e2)
% 12.93/3.58 | (263) all_0_22_22 = e2
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (263,507) yields a new equation:
% 12.93/3.58 | (303) e2 = e1
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 303 yields:
% 12.93/3.58 | (253) e2 = e1
% 12.93/3.58 |
% 12.93/3.58 | Equations (253) can reduce 96 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (790) ~ (all_0_19_19 = e0)
% 12.93/3.58 | (890) all_0_23_23 = e0
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (234,890) yields a new equation:
% 12.93/3.58 | (486) e3 = e0
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 486 yields:
% 12.93/3.58 | (487) e3 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (487) can reduce 21 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (452) ~ (all_0_12_12 = e1)
% 12.93/3.58 | (453) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (453), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (425) all_0_13_13 = e1
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (400,425) yields a new equation:
% 12.93/3.58 | (243) e3 = e1
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 243 yields:
% 12.93/3.58 | (244) e3 = e1
% 12.93/3.58 |
% 12.93/3.58 | Equations (244) can reduce 85 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (209) ~ (all_0_13_13 = e1)
% 12.93/3.58 | (457) all_0_14_14 = e1 | all_0_15_15 = e1
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (457), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (458) all_0_14_14 = e1
% 12.93/3.58 |
% 12.93/3.58 | Equations (458) can reduce 462 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (462) ~ (all_0_14_14 = e1)
% 12.93/3.58 | (335) all_0_15_15 = e1
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (335,939) yields a new equation:
% 12.93/3.58 | (253) e2 = e1
% 12.93/3.58 |
% 12.93/3.58 | Equations (253) can reduce 96 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (511) ~ (all_0_22_22 = e1)
% 12.93/3.58 | (192) all_0_22_22 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (192) can reduce 683 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (468) ~ (all_0_16_16 = e3)
% 12.93/3.58 | (242) all_0_20_20 = e3
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (242,577) yields a new equation:
% 12.93/3.58 | (486) e3 = e0
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 486 yields:
% 12.93/3.58 | (487) e3 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (487) can reduce 21 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (327) ~ (all_0_9_9 = e0)
% 12.93/3.58 | (2038) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (71), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (314) all_0_12_12 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (314) can reduce 317 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (317) ~ (all_0_12_12 = e0)
% 12.93/3.58 | (318) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (141), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (202) all_0_9_9 = e3
% 12.93/3.58 |
% 12.93/3.58 | Equations (202) can reduce 162 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (162) ~ (all_0_9_9 = e3)
% 12.93/3.58 | (388) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (63), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (242) all_0_20_20 = e3
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (242,577) yields a new equation:
% 12.93/3.58 | (486) e3 = e0
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 486 yields:
% 12.93/3.58 | (487) e3 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (487) can reduce 21 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (246) ~ (all_0_20_20 = e3)
% 12.93/3.58 | (247) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 12.93/3.58 |
% 12.93/3.58 | Equations (577) can reduce 246 to:
% 12.93/3.58 | (793) ~ (e3 = e0)
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 793 yields:
% 12.93/3.58 | (21) ~ (e3 = e0)
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (2400), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (449) all_0_12_12 = e1
% 12.93/3.58 |
% 12.93/3.58 | Equations (449) can reduce 324 to:
% 12.93/3.58 | (610) ~ (e3 = e1)
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 610 yields:
% 12.93/3.58 | (85) ~ (e3 = e1)
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (128), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (404) all_0_14_14 = e3
% 12.93/3.58 |
% 12.93/3.58 | Equations (404) can reduce 465 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (465) ~ (all_0_14_14 = e3)
% 12.93/3.58 | (1525) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (247), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (248) all_0_21_21 = e3
% 12.93/3.58 |
% 12.93/3.58 | Equations (248) can reduce 483 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (483) ~ (all_0_21_21 = e3)
% 12.93/3.58 | (484) all_0_22_22 = e3 | all_0_23_23 = e3
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (318), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (326) all_0_13_13 = e0
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (400,326) yields a new equation:
% 12.93/3.58 | (486) e3 = e0
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 486 yields:
% 12.93/3.58 | (487) e3 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (487) can reduce 21 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (398) ~ (all_0_13_13 = e0)
% 12.93/3.58 | (399) all_0_14_14 = e0 | all_0_15_15 = e0
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (484), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (485) all_0_22_22 = e3
% 12.93/3.58 |
% 12.93/3.58 | Equations (485) can reduce 489 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (489) ~ (all_0_22_22 = e3)
% 12.93/3.58 | (234) all_0_23_23 = e3
% 12.93/3.58 |
% 12.93/3.58 | Equations (234) can reduce 31 to:
% 12.93/3.58 | (489) ~ (all_0_22_22 = e3)
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (388), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (372) all_0_9_9 = e2
% 12.93/3.58 |
% 12.93/3.58 | Equations (372) can reduce 5 to:
% 12.93/3.58 | (373) ~ (all_0_8_8 = e2)
% 12.93/3.58 |
% 12.93/3.58 | Equations (372) can reduce 100 to:
% 12.93/3.58 | (1597) ~ (all_0_21_21 = e2)
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 1597 yields:
% 12.93/3.58 | (261) ~ (all_0_21_21 = e2)
% 12.93/3.58 |
% 12.93/3.58 | Equations (372) can reduce 162 to:
% 12.93/3.58 | (411) ~ (e3 = e2)
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 411 yields:
% 12.93/3.58 | (123) ~ (e3 = e2)
% 12.93/3.58 |
% 12.93/3.58 | Equations (372) can reduce 208 to:
% 12.93/3.58 | (96) ~ (e2 = e1)
% 12.93/3.58 |
% 12.93/3.58 | Equations (372) can reduce 327 to:
% 12.93/3.58 | (88) ~ (e2 = e0)
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (399), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (782) all_0_14_14 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (782) can reduce 68 to:
% 12.93/3.58 | (682) ~ (all_0_22_22 = e0)
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 682 yields:
% 12.93/3.58 | (683) ~ (all_0_22_22 = e0)
% 12.93/3.58 |
% 12.93/3.58 | Equations (782) can reduce 465 to:
% 12.93/3.58 | (793) ~ (e3 = e0)
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 793 yields:
% 12.93/3.58 | (21) ~ (e3 = e0)
% 12.93/3.58 |
% 12.93/3.58 | Equations (782) can reduce 177 to:
% 12.93/3.58 | (285) ~ (e2 = e0)
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 285 yields:
% 12.93/3.58 | (88) ~ (e2 = e0)
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (40), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (374) all_0_8_8 = e2
% 12.93/3.58 |
% 12.93/3.58 | Equations (374) can reduce 373 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (373) ~ (all_0_8_8 = e2)
% 12.93/3.58 | (1446) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (3), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (252) all_0_20_20 = e2
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (577,252) yields a new equation:
% 12.93/3.58 | (265) e2 = e0
% 12.93/3.58 |
% 12.93/3.58 | Equations (265) can reduce 88 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (181) ~ (all_0_20_20 = e2)
% 12.93/3.58 | (256) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (1446), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (172) all_0_12_12 = e2
% 12.93/3.58 |
% 12.93/3.58 | Combining equations (449,172) yields a new equation:
% 12.93/3.58 | (253) e2 = e1
% 12.93/3.58 |
% 12.93/3.58 | Equations (253) can reduce 96 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (203) ~ (all_0_12_12 = e2)
% 12.93/3.58 | (1625) all_0_16_16 = e2 | all_0_20_20 = e2
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (256), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (257) all_0_21_21 = e2
% 12.93/3.58 |
% 12.93/3.58 | Equations (257) can reduce 261 to:
% 12.93/3.58 | (186) $false
% 12.93/3.58 |
% 12.93/3.58 |-The branch is then unsatisfiable
% 12.93/3.58 |-Branch two:
% 12.93/3.58 | (261) ~ (all_0_21_21 = e2)
% 12.93/3.58 | (262) all_0_22_22 = e2 | all_0_23_23 = e2
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (262), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.58 | (263) all_0_22_22 = e2
% 12.93/3.58 |
% 12.93/3.58 | Equations (263) can reduce 489 to:
% 12.93/3.58 | (411) ~ (e3 = e2)
% 12.93/3.58 |
% 12.93/3.58 | Simplifying 411 yields:
% 12.93/3.58 | (123) ~ (e3 = e2)
% 12.93/3.58 |
% 12.93/3.58 | Equations (263) can reduce 683 to:
% 12.93/3.58 | (88) ~ (e2 = e0)
% 12.93/3.58 |
% 12.93/3.58 +-Applying beta-rule and splitting (1625), into two cases.
% 12.93/3.58 |-Branch one:
% 12.93/3.59 | (295) all_0_16_16 = e2
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (229), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (320) all_0_12_12 = e3
% 12.93/3.59 |
% 12.93/3.59 | Combining equations (320,449) yields a new equation:
% 12.93/3.59 | (243) e3 = e1
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 243 yields:
% 12.93/3.59 | (244) e3 = e1
% 12.93/3.59 |
% 12.93/3.59 | Equations (244) can reduce 85 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (324) ~ (all_0_12_12 = e3)
% 12.93/3.59 | (1684) all_0_16_16 = e3 | all_0_20_20 = e3
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (1684), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (292) all_0_16_16 = e3
% 12.93/3.59 |
% 12.93/3.59 | Combining equations (295,292) yields a new equation:
% 12.93/3.59 | (259) e3 = e2
% 12.93/3.59 |
% 12.93/3.59 | Equations (259) can reduce 123 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (468) ~ (all_0_16_16 = e3)
% 12.93/3.59 | (242) all_0_20_20 = e3
% 12.93/3.59 |
% 12.93/3.59 | Combining equations (242,577) yields a new equation:
% 12.93/3.59 | (486) e3 = e0
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 486 yields:
% 12.93/3.59 | (487) e3 = e0
% 12.93/3.59 |
% 12.93/3.59 | Equations (487) can reduce 21 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (179) ~ (all_0_16_16 = e2)
% 12.93/3.59 | (252) all_0_20_20 = e2
% 12.93/3.59 |
% 12.93/3.59 | Combining equations (252,577) yields a new equation:
% 12.93/3.59 | (264) e2 = e0
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 264 yields:
% 12.93/3.59 | (265) e2 = e0
% 12.93/3.59 |
% 12.93/3.59 | Equations (265) can reduce 88 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (267) ~ (all_0_22_22 = e2)
% 12.93/3.59 | (268) all_0_23_23 = e2
% 12.93/3.59 |
% 12.93/3.59 | Combining equations (268,234) yields a new equation:
% 12.93/3.59 | (259) e3 = e2
% 12.93/3.59 |
% 12.93/3.59 | Equations (259) can reduce 123 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (786) ~ (all_0_14_14 = e0)
% 12.93/3.59 | (787) all_0_15_15 = e0
% 12.93/3.59 |
% 12.93/3.59 | Combining equations (939,787) yields a new equation:
% 12.93/3.59 | (264) e2 = e0
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 264 yields:
% 12.93/3.59 | (265) e2 = e0
% 12.93/3.59 |
% 12.93/3.59 | Equations (265) can reduce 88 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (383) ~ (all_0_9_9 = e2)
% 12.93/3.59 | (392) all_0_9_9 = e1 | all_0_9_9 = e0
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (392), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (393) all_0_9_9 = e1
% 12.93/3.59 |
% 12.93/3.59 | Equations (393) can reduce 208 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (208) ~ (all_0_9_9 = e1)
% 12.93/3.59 | (368) all_0_9_9 = e0
% 12.93/3.59 |
% 12.93/3.59 | Equations (368) can reduce 327 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (452) ~ (all_0_12_12 = e1)
% 12.93/3.59 | (314) all_0_12_12 = e0
% 12.93/3.59 |
% 12.93/3.59 | Equations (314) can reduce 317 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (250) ~ (all_0_13_13 = e3)
% 12.93/3.59 | (403) all_0_14_14 = e3 | all_0_15_15 = e3
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (403), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (404) all_0_14_14 = e3
% 12.93/3.59 |
% 12.93/3.59 | Equations (404) can reduce 465 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (465) ~ (all_0_14_14 = e3)
% 12.93/3.59 | (310) all_0_15_15 = e3
% 12.93/3.59 |
% 12.93/3.59 | Combining equations (939,310) yields a new equation:
% 12.93/3.59 | (259) e3 = e2
% 12.93/3.59 |
% 12.93/3.59 | Equations (259) can reduce 123 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (651) all_0_21_21 = e0 & ~ (all_0_15_15 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Applying alpha-rule on (651) yields:
% 12.93/3.59 | (652) all_0_21_21 = e0
% 12.93/3.59 | (653) ~ (all_0_15_15 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (652) can reduce 197 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (187) all_0_14_14 = e2 & ~ (all_0_17_17 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Applying alpha-rule on (187) yields:
% 12.93/3.59 | (188) all_0_14_14 = e2
% 12.93/3.59 | (189) ~ (all_0_17_17 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (188) can reduce 177 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (191) all_0_22_22 = e0 & ~ (all_0_19_19 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Applying alpha-rule on (191) yields:
% 12.93/3.59 | (192) all_0_22_22 = e0
% 12.93/3.59 | (193) ~ (all_0_19_19 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (192) can reduce 683 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (2778) all_0_19_19 = e1 & ~ (all_0_22_22 = e0)
% 12.93/3.59 |
% 12.93/3.59 | Applying alpha-rule on (2778) yields:
% 12.93/3.59 | (280) all_0_19_19 = e1
% 12.93/3.59 | (683) ~ (all_0_22_22 = e0)
% 12.93/3.59 |
% 12.93/3.59 | Equations (280) can reduce 139 to:
% 12.93/3.59 | (290) ~ (all_0_11_11 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (280) can reduce 84 to:
% 12.93/3.59 | (356) ~ (all_0_15_15 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (280) can reduce 24 to:
% 12.93/3.59 | (185) ~ (all_0_16_16 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (280) can reduce 120 to:
% 12.93/3.59 | (189) ~ (all_0_17_17 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (280) can reduce 136 to:
% 12.93/3.59 | (212) ~ (all_0_18_18 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (280) can reduce 26 to:
% 12.93/3.59 | (222) ~ (all_0_23_23 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 222 yields:
% 12.93/3.59 | (223) ~ (all_0_23_23 = e1)
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (73), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (182) (all_0_10_10 = e3 & ~ (all_0_16_16 = e1)) | (all_0_14_14 = e2 & ~ (all_0_17_17 = e1))
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (182), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (183) all_0_10_10 = e3 & ~ (all_0_16_16 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Applying alpha-rule on (183) yields:
% 12.93/3.59 | (184) all_0_10_10 = e3
% 12.93/3.59 | (185) ~ (all_0_16_16 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (184) can reduce 76 to:
% 12.93/3.59 | (161) ~ (all_0_8_8 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (184) can reduce 7 to:
% 12.93/3.59 | (162) ~ (all_0_9_9 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (184) can reduce 55 to:
% 12.93/3.59 | (1400) ~ (all_0_11_11 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 1400 yields:
% 12.93/3.59 | (1366) ~ (all_0_11_11 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (184) can reduce 22 to:
% 12.93/3.59 | (1452) ~ (all_0_14_14 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 1452 yields:
% 12.93/3.59 | (465) ~ (all_0_14_14 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (184) can reduce 9 to:
% 12.93/3.59 | (406) ~ (all_0_18_18 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 406 yields:
% 12.93/3.59 | (407) ~ (all_0_18_18 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (184) can reduce 27 to:
% 12.93/3.59 | (2103) ~ (all_0_22_22 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 2103 yields:
% 12.93/3.59 | (489) ~ (all_0_22_22 = e3)
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (119), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (200) (all_0_9_9 = e3 & ~ (all_0_12_12 = e2)) | (all_0_17_17 = e1 & ~ (all_0_14_14 = e2))
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (200), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (201) all_0_9_9 = e3 & ~ (all_0_12_12 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Applying alpha-rule on (201) yields:
% 12.93/3.59 | (202) all_0_9_9 = e3
% 12.93/3.59 | (203) ~ (all_0_12_12 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (202) can reduce 162 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (205) all_0_17_17 = e1 & ~ (all_0_14_14 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Applying alpha-rule on (205) yields:
% 12.93/3.59 | (206) all_0_17_17 = e1
% 12.93/3.59 | (177) ~ (all_0_14_14 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (206) can reduce 189 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (651) all_0_21_21 = e0 & ~ (all_0_15_15 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Applying alpha-rule on (651) yields:
% 12.93/3.59 | (652) all_0_21_21 = e0
% 12.93/3.59 | (653) ~ (all_0_15_15 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (652) can reduce 100 to:
% 12.93/3.59 | (327) ~ (all_0_9_9 = e0)
% 12.93/3.59 |
% 12.93/3.59 | Equations (652) can reduce 93 to:
% 12.93/3.59 | (398) ~ (all_0_13_13 = e0)
% 12.93/3.59 |
% 12.93/3.59 | Equations (652) can reduce 140 to:
% 12.93/3.59 | (680) ~ (all_0_17_17 = e0)
% 12.93/3.59 |
% 12.93/3.59 | Equations (652) can reduce 45 to:
% 12.93/3.59 | (160) ~ (all_0_20_20 = e0)
% 12.93/3.59 |
% 12.93/3.59 | Equations (652) can reduce 2 to:
% 12.93/3.59 | (682) ~ (all_0_22_22 = e0)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 682 yields:
% 12.93/3.59 | (683) ~ (all_0_22_22 = e0)
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (83), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (170) (all_0_12_12 = e2 & ~ (all_0_9_9 = e3)) | (all_0_16_16 = e1 & ~ (all_0_10_10 = e3))
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (170), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (171) all_0_12_12 = e2 & ~ (all_0_9_9 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Applying alpha-rule on (171) yields:
% 12.93/3.59 | (172) all_0_12_12 = e2
% 12.93/3.59 | (162) ~ (all_0_9_9 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (172) can reduce 105 to:
% 12.93/3.59 | (373) ~ (all_0_8_8 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (172) can reduce 18 to:
% 12.93/3.59 | (174) ~ (all_0_13_13 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 174 yields:
% 12.93/3.59 | (175) ~ (all_0_13_13 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (172) can reduce 4 to:
% 12.93/3.59 | (176) ~ (all_0_14_14 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 176 yields:
% 12.93/3.59 | (177) ~ (all_0_14_14 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (172) can reduce 39 to:
% 12.93/3.59 | (696) ~ (all_0_15_15 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 696 yields:
% 12.93/3.59 | (653) ~ (all_0_15_15 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (172) can reduce 37 to:
% 12.93/3.59 | (178) ~ (all_0_16_16 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 178 yields:
% 12.93/3.59 | (179) ~ (all_0_16_16 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (172) can reduce 81 to:
% 12.93/3.59 | (180) ~ (all_0_20_20 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 180 yields:
% 12.93/3.59 | (181) ~ (all_0_20_20 = e2)
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (46), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (242) all_0_20_20 = e3
% 12.93/3.59 |
% 12.93/3.59 | Equations (242) can reduce 149 to:
% 12.93/3.59 | (161) ~ (all_0_8_8 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (242) can reduce 82 to:
% 12.93/3.59 | (468) ~ (all_0_16_16 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (242) can reduce 121 to:
% 12.93/3.59 | (2103) ~ (all_0_22_22 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 2103 yields:
% 12.93/3.59 | (489) ~ (all_0_22_22 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (242) can reduce 42 to:
% 12.93/3.59 | (168) ~ (all_0_23_23 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 168 yields:
% 12.93/3.59 | (169) ~ (all_0_23_23 = e3)
% 12.93/3.59 |
% 12.93/3.59 | Equations (242) can reduce 181 to:
% 12.93/3.59 | (123) ~ (e3 = e2)
% 12.93/3.59 |
% 12.93/3.59 | Equations (242) can reduce 160 to:
% 12.93/3.59 | (21) ~ (e3 = e0)
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (142), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (234) all_0_23_23 = e3
% 12.93/3.59 |
% 12.93/3.59 | Equations (234) can reduce 169 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (169) ~ (all_0_23_23 = e3)
% 12.93/3.59 | (237) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (137), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (292) all_0_16_16 = e3
% 12.93/3.59 |
% 12.93/3.59 | Equations (292) can reduce 468 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (468) ~ (all_0_16_16 = e3)
% 12.93/3.59 | (469) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (34), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (217) all_0_20_20 = e1
% 12.93/3.59 |
% 12.93/3.59 | Combining equations (217,242) yields a new equation:
% 12.93/3.59 | (244) e3 = e1
% 12.93/3.59 |
% 12.93/3.59 | Equations (244) can reduce 85 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (492) ~ (all_0_20_20 = e1)
% 12.93/3.59 | (493) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 12.93/3.59 |
% 12.93/3.59 | Equations (242) can reduce 492 to:
% 12.93/3.59 | (85) ~ (e3 = e1)
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (67), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (238) all_0_8_8 = e1
% 12.93/3.59 |
% 12.93/3.59 | Equations (238) can reduce 5 to:
% 12.93/3.59 | (2134) ~ (all_0_9_9 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 2134 yields:
% 12.93/3.59 | (208) ~ (all_0_9_9 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (238) can reduce 65 to:
% 12.93/3.59 | (2136) ~ (all_0_16_16 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 2136 yields:
% 12.93/3.59 | (185) ~ (all_0_16_16 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Equations (238) can reduce 161 to:
% 12.93/3.59 | (610) ~ (e3 = e1)
% 12.93/3.59 |
% 12.93/3.59 | Simplifying 610 yields:
% 12.93/3.59 | (85) ~ (e3 = e1)
% 12.93/3.59 |
% 12.93/3.59 | From (238) and (134) follows:
% 12.93/3.59 | (2865) op(all_0_5_5, e1) = all_0_4_4
% 12.93/3.59 |
% 12.93/3.59 | From (238)(238) and (144) follows:
% 12.93/3.59 | (2866) op(e1, e1) = all_0_5_5
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (36), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (330) all_0_8_8 = e0
% 12.93/3.59 |
% 12.93/3.59 | Combining equations (330,238) yields a new equation:
% 12.93/3.59 | (359) e1 = e0
% 12.93/3.59 |
% 12.93/3.59 | Equations (359) can reduce 80 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (354) ~ (all_0_8_8 = e0)
% 12.93/3.59 | (518) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0
% 12.93/3.59 |
% 12.93/3.59 | Equations (238) can reduce 354 to:
% 12.93/3.59 | (80) ~ (e1 = e0)
% 12.93/3.59 |
% 12.93/3.59 +-Applying beta-rule and splitting (469), into two cases.
% 12.93/3.59 |-Branch one:
% 12.93/3.59 | (295) all_0_16_16 = e2
% 12.93/3.59 |
% 12.93/3.59 | Equations (295) can reduce 179 to:
% 12.93/3.59 | (186) $false
% 12.93/3.59 |
% 12.93/3.59 |-The branch is then unsatisfiable
% 12.93/3.59 |-Branch two:
% 12.93/3.59 | (179) ~ (all_0_16_16 = e2)
% 12.93/3.60 | (477) all_0_16_16 = e1 | all_0_16_16 = e0
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (13), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (393) all_0_9_9 = e1
% 12.93/3.60 |
% 12.93/3.60 | Equations (393) can reduce 208 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (208) ~ (all_0_9_9 = e1)
% 12.93/3.60 | (1606) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (1606), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (425) all_0_13_13 = e1
% 12.93/3.60 |
% 12.93/3.60 | Equations (425) can reduce 69 to:
% 12.93/3.60 | (208) ~ (all_0_9_9 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Equations (425) can reduce 48 to:
% 12.93/3.60 | (660) ~ (all_0_17_17 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 660 yields:
% 12.93/3.60 | (189) ~ (all_0_17_17 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Equations (425) can reduce 175 to:
% 12.93/3.60 | (224) ~ (e2 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 224 yields:
% 12.93/3.60 | (96) ~ (e2 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Equations (425) can reduce 398 to:
% 12.93/3.60 | (80) ~ (e1 = e0)
% 12.93/3.60 |
% 12.93/3.60 | From (425) and (130) follows:
% 12.93/3.60 | (821) op(all_0_7_7, e1) = all_0_6_6
% 12.93/3.60 |
% 12.93/3.60 | From (425)(425) and (56) follows:
% 12.93/3.60 | (822) op(e1, e1) = all_0_7_7
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (237), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (268) all_0_23_23 = e2
% 12.93/3.60 |
% 12.93/3.60 | Equations (268) can reduce 124 to:
% 12.93/3.60 | (1371) ~ (all_0_11_11 = e2)
% 12.93/3.60 |
% 12.93/3.60 | Equations (268) can reduce 20 to:
% 12.93/3.60 | (653) ~ (all_0_15_15 = e2)
% 12.93/3.60 |
% 12.93/3.60 | Equations (268) can reduce 31 to:
% 12.93/3.60 | (267) ~ (all_0_22_22 = e2)
% 12.93/3.60 |
% 12.93/3.60 | Equations (268) can reduce 169 to:
% 12.93/3.60 | (411) ~ (e3 = e2)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 411 yields:
% 12.93/3.60 | (123) ~ (e3 = e2)
% 12.93/3.60 |
% 12.93/3.60 | Equations (268) can reduce 223 to:
% 12.93/3.60 | (96) ~ (e2 = e1)
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (477), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (478) all_0_16_16 = e1
% 12.93/3.60 |
% 12.93/3.60 | Equations (478) can reduce 185 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (185) ~ (all_0_16_16 = e1)
% 12.93/3.60 | (481) all_0_16_16 = e0
% 12.93/3.60 |
% 12.93/3.60 | Equations (481) can reduce 92 to:
% 12.93/3.60 | (1583) ~ (all_0_17_17 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 1583 yields:
% 12.93/3.60 | (680) ~ (all_0_17_17 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Equations (481) can reduce 89 to:
% 12.93/3.60 | (1819) ~ (all_0_18_18 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 1819 yields:
% 12.93/3.60 | (195) ~ (all_0_18_18 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Equations (481) can reduce 468 to:
% 12.93/3.60 | (793) ~ (e3 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 793 yields:
% 12.93/3.60 | (21) ~ (e3 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Equations (481) can reduce 185 to:
% 12.93/3.60 | (331) ~ (e1 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 331 yields:
% 12.93/3.60 | (80) ~ (e1 = e0)
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (150), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (485) all_0_22_22 = e3
% 12.93/3.60 |
% 12.93/3.60 | Equations (485) can reduce 489 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (489) ~ (all_0_22_22 = e3)
% 12.93/3.60 | (1078) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (1078), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (263) all_0_22_22 = e2
% 12.93/3.60 |
% 12.93/3.60 | Equations (263) can reduce 267 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (267) ~ (all_0_22_22 = e2)
% 12.93/3.60 | (1086) all_0_22_22 = e1 | all_0_22_22 = e0
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (493), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (503) all_0_21_21 = e1
% 12.93/3.60 |
% 12.93/3.60 | Combining equations (652,503) yields a new equation:
% 12.93/3.60 | (359) e1 = e0
% 12.93/3.60 |
% 12.93/3.60 | Equations (359) can reduce 80 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (216) ~ (all_0_21_21 = e1)
% 12.93/3.60 | (506) all_0_22_22 = e1 | all_0_23_23 = e1
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (506), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (507) all_0_22_22 = e1
% 12.93/3.60 |
% 12.93/3.60 | Equations (507) can reduce 68 to:
% 12.93/3.60 | (462) ~ (all_0_14_14 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Equations (507) can reduce 489 to:
% 12.93/3.60 | (610) ~ (e3 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 610 yields:
% 12.93/3.60 | (85) ~ (e3 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Equations (507) can reduce 267 to:
% 12.93/3.60 | (224) ~ (e2 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 224 yields:
% 12.93/3.60 | (96) ~ (e2 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Equations (507) can reduce 683 to:
% 12.93/3.60 | (80) ~ (e1 = e0)
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (8), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (159) all_0_11_11 = e3
% 12.93/3.60 |
% 12.93/3.60 | Equations (159) can reduce 1366 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (1366) ~ (all_0_11_11 = e3)
% 12.93/3.60 | (1506) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (23), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (374) all_0_8_8 = e2
% 12.93/3.60 |
% 12.93/3.60 | Combining equations (374,238) yields a new equation:
% 12.93/3.60 | (303) e2 = e1
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 303 yields:
% 12.93/3.60 | (253) e2 = e1
% 12.93/3.60 |
% 12.93/3.60 | Equations (253) can reduce 96 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (373) ~ (all_0_8_8 = e2)
% 12.93/3.60 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (111), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (596) all_0_10_10 = e0
% 12.93/3.60 |
% 12.93/3.60 | Combining equations (596,184) yields a new equation:
% 12.93/3.60 | (487) e3 = e0
% 12.93/3.60 |
% 12.93/3.60 | Equations (487) can reduce 21 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (194) ~ (all_0_10_10 = e0)
% 12.93/3.60 | (834) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (834), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (782) all_0_14_14 = e0
% 12.93/3.60 |
% 12.93/3.60 | Equations (782) can reduce 59 to:
% 12.93/3.60 | (2945) ~ (all_0_15_15 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 2945 yields:
% 12.93/3.60 | (1162) ~ (all_0_15_15 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Equations (782) can reduce 72 to:
% 12.93/3.60 | (1819) ~ (all_0_18_18 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 1819 yields:
% 12.93/3.60 | (195) ~ (all_0_18_18 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Equations (782) can reduce 462 to:
% 12.93/3.60 | (331) ~ (e1 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 331 yields:
% 12.93/3.60 | (80) ~ (e1 = e0)
% 12.93/3.60 |
% 12.93/3.60 | From (782) and (122) follows:
% 12.93/3.60 | (2951) op(e2, e1) = e0
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (1506), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (310) all_0_15_15 = e3
% 12.93/3.60 |
% 12.93/3.60 | Equations (310) can reduce 653 to:
% 12.93/3.60 | (123) ~ (e3 = e2)
% 12.93/3.60 |
% 12.93/3.60 | Equations (310) can reduce 1162 to:
% 12.93/3.60 | (21) ~ (e3 = e0)
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (99), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (1477) all_0_11_11 = e0
% 12.93/3.60 |
% 12.93/3.60 | Equations (1477) can reduce 112 to:
% 12.93/3.60 | (327) ~ (all_0_9_9 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Equations (1477) can reduce 1371 to:
% 12.93/3.60 | (285) ~ (e2 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 285 yields:
% 12.93/3.60 | (88) ~ (e2 = e0)
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (742), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (372) all_0_9_9 = e2
% 12.93/3.60 |
% 12.93/3.60 | Equations (372) can reduce 25 to:
% 12.93/3.60 | (765) ~ (all_0_17_17 = e2)
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 765 yields:
% 12.93/3.60 | (306) ~ (all_0_17_17 = e2)
% 12.93/3.60 |
% 12.93/3.60 | Equations (372) can reduce 208 to:
% 12.93/3.60 | (96) ~ (e2 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Equations (372) can reduce 327 to:
% 12.93/3.60 | (88) ~ (e2 = e0)
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (49), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (295) all_0_16_16 = e2
% 12.93/3.60 |
% 12.93/3.60 | Combining equations (295,481) yields a new equation:
% 12.93/3.60 | (264) e2 = e0
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 264 yields:
% 12.93/3.60 | (265) e2 = e0
% 12.93/3.60 |
% 12.93/3.60 | Equations (265) can reduce 88 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (179) ~ (all_0_16_16 = e2)
% 12.93/3.60 | (300) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (300), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (302) all_0_17_17 = e2
% 12.93/3.60 |
% 12.93/3.60 | Equations (302) can reduce 306 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (306) ~ (all_0_17_17 = e2)
% 12.93/3.60 | (307) all_0_18_18 = e2 | all_0_19_19 = e2
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (307), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (410) all_0_18_18 = e2
% 12.93/3.60 |
% 12.93/3.60 | From (410) and (30) follows:
% 12.93/3.60 | (2975) op(e1, e1) = e2
% 12.93/3.60 |
% 12.93/3.60 | Instantiating formula (35) with e1, e1, all_0_7_7, all_0_5_5 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = all_0_7_7, yields:
% 12.93/3.60 | (337) all_0_5_5 = all_0_7_7
% 12.93/3.60 |
% 12.93/3.60 | Instantiating formula (35) with e1, e1, e2, all_0_5_5 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = e2, yields:
% 12.93/3.60 | (338) all_0_5_5 = e2
% 12.93/3.60 |
% 12.93/3.60 | Combining equations (337,338) yields a new equation:
% 12.93/3.60 | (339) all_0_7_7 = e2
% 12.93/3.60 |
% 12.93/3.60 | Simplifying 339 yields:
% 12.93/3.60 | (340) all_0_7_7 = e2
% 12.93/3.60 |
% 12.93/3.60 | From (338) and (2865) follows:
% 12.93/3.60 | (2980) op(e2, e1) = all_0_4_4
% 12.93/3.60 |
% 12.93/3.60 | From (340) and (821) follows:
% 12.93/3.60 | (2981) op(e2, e1) = all_0_6_6
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (94), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (1882) ~ (all_0_4_4 = e0)
% 12.93/3.60 |
% 12.93/3.60 | Instantiating formula (35) with e2, e1, all_0_4_4, e0 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = e0, yields:
% 12.93/3.60 | (1885) all_0_4_4 = e0
% 12.93/3.60 |
% 12.93/3.60 | Instantiating formula (35) with e2, e1, all_0_6_6, all_0_4_4 and discharging atoms op(e2, e1) = all_0_4_4, op(e2, e1) = all_0_6_6, yields:
% 12.93/3.60 | (345) all_0_4_4 = all_0_6_6
% 12.93/3.60 |
% 12.93/3.60 | Combining equations (1885,345) yields a new equation:
% 12.93/3.60 | (559) all_0_6_6 = e0
% 12.93/3.60 |
% 12.93/3.60 | Combining equations (559,345) yields a new equation:
% 12.93/3.60 | (1885) all_0_4_4 = e0
% 12.93/3.60 |
% 12.93/3.60 | Equations (1885) can reduce 1882 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (1885) all_0_4_4 = e0
% 12.93/3.60 | (2989) ~ (all_0_5_5 = e2) | ~ (all_0_8_8 = e1)
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (2989), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (351) ~ (all_0_5_5 = e2)
% 12.93/3.60 |
% 12.93/3.60 | Equations (338) can reduce 351 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (338) all_0_5_5 = e2
% 12.93/3.60 | (218) ~ (all_0_8_8 = e1)
% 12.93/3.60 |
% 12.93/3.60 | Equations (238) can reduce 218 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (443) ~ (all_0_18_18 = e2)
% 12.93/3.60 | (276) all_0_19_19 = e2
% 12.93/3.60 |
% 12.93/3.60 | Combining equations (280,276) yields a new equation:
% 12.93/3.60 | (253) e2 = e1
% 12.93/3.60 |
% 12.93/3.60 | Equations (253) can reduce 96 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.60 | (383) ~ (all_0_9_9 = e2)
% 12.93/3.60 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 12.93/3.60 |
% 12.93/3.60 +-Applying beta-rule and splitting (930), into two cases.
% 12.93/3.60 |-Branch one:
% 12.93/3.60 | (523) all_0_10_10 = e2
% 12.93/3.60 |
% 12.93/3.60 | Combining equations (523,184) yields a new equation:
% 12.93/3.60 | (259) e3 = e2
% 12.93/3.60 |
% 12.93/3.60 | Equations (259) can reduce 123 to:
% 12.93/3.60 | (186) $false
% 12.93/3.60 |
% 12.93/3.60 |-The branch is then unsatisfiable
% 12.93/3.60 |-Branch two:
% 12.93/3.61 | (591) ~ (all_0_10_10 = e2)
% 12.93/3.61 | (961) all_0_11_11 = e2
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (961,1477) yields a new equation:
% 12.93/3.61 | (264) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 264 yields:
% 12.93/3.61 | (265) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (265) can reduce 88 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (1430) ~ (all_0_11_11 = e0)
% 12.93/3.61 | (1480) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (29), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (292) all_0_16_16 = e3
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (481,292) yields a new equation:
% 12.93/3.61 | (487) e3 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (487) can reduce 21 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (468) ~ (all_0_16_16 = e3)
% 12.93/3.61 | (1711) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (742), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (372) all_0_9_9 = e2
% 12.93/3.61 |
% 12.93/3.61 | Equations (372) can reduce 25 to:
% 12.93/3.61 | (765) ~ (all_0_17_17 = e2)
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 765 yields:
% 12.93/3.61 | (306) ~ (all_0_17_17 = e2)
% 12.93/3.61 |
% 12.93/3.61 | Equations (372) can reduce 208 to:
% 12.93/3.61 | (96) ~ (e2 = e1)
% 12.93/3.61 |
% 12.93/3.61 | Equations (372) can reduce 327 to:
% 12.93/3.61 | (88) ~ (e2 = e0)
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (49), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (295) all_0_16_16 = e2
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (481,295) yields a new equation:
% 12.93/3.61 | (265) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (265) can reduce 88 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (179) ~ (all_0_16_16 = e2)
% 12.93/3.61 | (300) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (300), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (302) all_0_17_17 = e2
% 12.93/3.61 |
% 12.93/3.61 | Equations (302) can reduce 306 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (306) ~ (all_0_17_17 = e2)
% 12.93/3.61 | (307) all_0_18_18 = e2 | all_0_19_19 = e2
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (307), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (410) all_0_18_18 = e2
% 12.93/3.61 |
% 12.93/3.61 | Equations (410) can reduce 115 to:
% 12.93/3.61 | (306) ~ (all_0_17_17 = e2)
% 12.93/3.61 |
% 12.93/3.61 | Equations (410) can reduce 195 to:
% 12.93/3.61 | (88) ~ (e2 = e0)
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (1711), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (570) all_0_17_17 = e3
% 12.93/3.61 |
% 12.93/3.61 | Equations (570) can reduce 680 to:
% 12.93/3.61 | (21) ~ (e3 = e0)
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (1480), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (787) all_0_15_15 = e0
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (310,787) yields a new equation:
% 12.93/3.61 | (486) e3 = e0
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 486 yields:
% 12.93/3.61 | (487) e3 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (487) can reduce 21 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (1162) ~ (all_0_15_15 = e0)
% 12.93/3.61 | (1486) all_0_19_19 = e0 | all_0_23_23 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (1486), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (283) all_0_19_19 = e0
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (280,283) yields a new equation:
% 12.93/3.61 | (508) e1 = e0
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 508 yields:
% 12.93/3.61 | (359) e1 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (359) can reduce 80 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (790) ~ (all_0_19_19 = e0)
% 12.93/3.61 | (890) all_0_23_23 = e0
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (890,268) yields a new equation:
% 12.93/3.61 | (265) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (265) can reduce 88 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (573) ~ (all_0_17_17 = e3)
% 12.93/3.61 | (1720) all_0_18_18 = e3 | all_0_19_19 = e3
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (107), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (570) all_0_17_17 = e3
% 12.93/3.61 |
% 12.93/3.61 | Equations (570) can reduce 573 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (573) ~ (all_0_17_17 = e3)
% 12.93/3.61 | (919) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (919), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (302) all_0_17_17 = e2
% 12.93/3.61 |
% 12.93/3.61 | Equations (302) can reduce 306 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (306) ~ (all_0_17_17 = e2)
% 12.93/3.61 | (923) all_0_17_17 = e1 | all_0_17_17 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (923), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (206) all_0_17_17 = e1
% 12.93/3.61 |
% 12.93/3.61 | Equations (206) can reduce 189 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (189) ~ (all_0_17_17 = e1)
% 12.93/3.61 | (823) all_0_17_17 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (823) can reduce 680 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (443) ~ (all_0_18_18 = e2)
% 12.93/3.61 | (276) all_0_19_19 = e2
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (280,276) yields a new equation:
% 12.93/3.61 | (253) e2 = e1
% 12.93/3.61 |
% 12.93/3.61 | Equations (253) can reduce 96 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (383) ~ (all_0_9_9 = e2)
% 12.93/3.61 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (930), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (523) all_0_10_10 = e2
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (523,184) yields a new equation:
% 12.93/3.61 | (259) e3 = e2
% 12.93/3.61 |
% 12.93/3.61 | Equations (259) can reduce 123 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (591) ~ (all_0_10_10 = e2)
% 12.93/3.61 | (961) all_0_11_11 = e2
% 12.93/3.61 |
% 12.93/3.61 | Equations (961) can reduce 1371 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (165) ~ (all_0_15_15 = e3)
% 12.93/3.61 | (1511) all_0_19_19 = e3 | all_0_23_23 = e3
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (106), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (320) all_0_12_12 = e3
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (320,172) yields a new equation:
% 12.93/3.61 | (258) e3 = e2
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 258 yields:
% 12.93/3.61 | (259) e3 = e2
% 12.93/3.61 |
% 12.93/3.61 | Equations (259) can reduce 123 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (324) ~ (all_0_12_12 = e3)
% 12.93/3.61 | (325) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 12.93/3.61 |
% 12.93/3.61 | Equations (172) can reduce 324 to:
% 12.93/3.61 | (411) ~ (e3 = e2)
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 411 yields:
% 12.93/3.61 | (123) ~ (e3 = e2)
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (1511), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (272) all_0_19_19 = e3
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (280,272) yields a new equation:
% 12.93/3.61 | (244) e3 = e1
% 12.93/3.61 |
% 12.93/3.61 | Equations (244) can reduce 85 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (167) ~ (all_0_19_19 = e3)
% 12.93/3.61 | (234) all_0_23_23 = e3
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (268,234) yields a new equation:
% 12.93/3.61 | (259) e3 = e2
% 12.93/3.61 |
% 12.93/3.61 | Equations (259) can reduce 123 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (786) ~ (all_0_14_14 = e0)
% 12.93/3.61 | (840) all_0_18_18 = e0 | all_0_22_22 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (840), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (589) all_0_18_18 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (589) can reduce 195 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (195) ~ (all_0_18_18 = e0)
% 12.93/3.61 | (192) all_0_22_22 = e0
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (507,192) yields a new equation:
% 12.93/3.61 | (508) e1 = e0
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 508 yields:
% 12.93/3.61 | (359) e1 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (359) can reduce 80 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (511) ~ (all_0_22_22 = e1)
% 12.93/3.61 | (362) all_0_23_23 = e1
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (362,268) yields a new equation:
% 12.93/3.61 | (253) e2 = e1
% 12.93/3.61 |
% 12.93/3.61 | Equations (253) can reduce 96 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (732) ~ (all_0_23_23 = e2)
% 12.93/3.61 | (750) all_0_23_23 = e1 | all_0_23_23 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (87), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (330) all_0_8_8 = e0
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (330,238) yields a new equation:
% 12.93/3.61 | (359) e1 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (359) can reduce 80 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (354) ~ (all_0_8_8 = e0)
% 12.93/3.61 | (367) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (367), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (368) all_0_9_9 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (368) can reduce 327 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (327) ~ (all_0_9_9 = e0)
% 12.93/3.61 | (371) all_0_10_10 = e0 | all_0_11_11 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (371), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (596) all_0_10_10 = e0
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (596,184) yields a new equation:
% 12.93/3.61 | (487) e3 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (487) can reduce 21 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (194) ~ (all_0_10_10 = e0)
% 12.93/3.61 | (1477) all_0_11_11 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (1477) can reduce 6 to:
% 12.93/3.61 | (2945) ~ (all_0_15_15 = e0)
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 2945 yields:
% 12.93/3.61 | (1162) ~ (all_0_15_15 = e0)
% 12.93/3.61 |
% 12.93/3.61 | Equations (1477) can reduce 1366 to:
% 12.93/3.61 | (793) ~ (e3 = e0)
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 793 yields:
% 12.93/3.61 | (21) ~ (e3 = e0)
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (71), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (314) all_0_12_12 = e0
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (172,314) yields a new equation:
% 12.93/3.61 | (264) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 264 yields:
% 12.93/3.61 | (265) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (265) can reduce 88 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (317) ~ (all_0_12_12 = e0)
% 12.93/3.61 | (318) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (172) can reduce 317 to:
% 12.93/3.61 | (88) ~ (e2 = e0)
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (518), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (314) all_0_12_12 = e0
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (172,314) yields a new equation:
% 12.93/3.61 | (264) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 264 yields:
% 12.93/3.61 | (265) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (265) can reduce 88 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (317) ~ (all_0_12_12 = e0)
% 12.93/3.61 | (544) all_0_16_16 = e0 | all_0_20_20 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (544), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (481) all_0_16_16 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (481) can reduce 185 to:
% 12.93/3.61 | (331) ~ (e1 = e0)
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 331 yields:
% 12.93/3.61 | (80) ~ (e1 = e0)
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (318), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (326) all_0_13_13 = e0
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (425,326) yields a new equation:
% 12.93/3.61 | (508) e1 = e0
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 508 yields:
% 12.93/3.61 | (359) e1 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (359) can reduce 80 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (398) ~ (all_0_13_13 = e0)
% 12.93/3.61 | (399) all_0_14_14 = e0 | all_0_15_15 = e0
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (399), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (782) all_0_14_14 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (782) can reduce 465 to:
% 12.93/3.61 | (793) ~ (e3 = e0)
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 793 yields:
% 12.93/3.61 | (21) ~ (e3 = e0)
% 12.93/3.61 |
% 12.93/3.61 | Equations (782) can reduce 177 to:
% 12.93/3.61 | (285) ~ (e2 = e0)
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 285 yields:
% 12.93/3.61 | (88) ~ (e2 = e0)
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (8), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (159) all_0_11_11 = e3
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (1477,159) yields a new equation:
% 12.93/3.61 | (487) e3 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (487) can reduce 21 to:
% 12.93/3.61 | (186) $false
% 12.93/3.61 |
% 12.93/3.61 |-The branch is then unsatisfiable
% 12.93/3.61 |-Branch two:
% 12.93/3.61 | (1366) ~ (all_0_11_11 = e3)
% 12.93/3.61 | (1506) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (1506), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (310) all_0_15_15 = e3
% 12.93/3.61 |
% 12.93/3.61 | Equations (310) can reduce 653 to:
% 12.93/3.61 | (123) ~ (e3 = e2)
% 12.93/3.61 |
% 12.93/3.61 +-Applying beta-rule and splitting (32), into two cases.
% 12.93/3.61 |-Branch one:
% 12.93/3.61 | (961) all_0_11_11 = e2
% 12.93/3.61 |
% 12.93/3.61 | Combining equations (961,1477) yields a new equation:
% 12.93/3.61 | (264) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Simplifying 264 yields:
% 12.93/3.61 | (265) e2 = e0
% 12.93/3.61 |
% 12.93/3.61 | Equations (265) can reduce 88 to:
% 12.93/3.62 | (186) $false
% 12.93/3.62 |
% 12.93/3.62 |-The branch is then unsatisfiable
% 12.93/3.62 |-Branch two:
% 12.93/3.62 | (1371) ~ (all_0_11_11 = e2)
% 12.93/3.62 | (3165) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2
% 12.93/3.62 |
% 12.93/3.62 +-Applying beta-rule and splitting (3165), into two cases.
% 12.93/3.62 |-Branch one:
% 12.93/3.62 | (939) all_0_15_15 = e2
% 12.93/3.62 |
% 12.93/3.62 | Combining equations (310,939) yields a new equation:
% 12.93/3.62 | (258) e3 = e2
% 12.93/3.62 |
% 12.93/3.62 | Simplifying 258 yields:
% 12.93/3.62 | (259) e3 = e2
% 12.93/3.62 |
% 12.93/3.62 | Equations (259) can reduce 123 to:
% 12.93/3.62 | (186) $false
% 12.93/3.62 |
% 12.93/3.62 |-The branch is then unsatisfiable
% 12.93/3.62 |-Branch two:
% 12.93/3.62 | (653) ~ (all_0_15_15 = e2)
% 12.93/3.62 | (3171) all_0_19_19 = e2 | all_0_23_23 = e2
% 12.93/3.62 |
% 12.93/3.62 +-Applying beta-rule and splitting (3171), into two cases.
% 12.93/3.62 |-Branch one:
% 12.93/3.62 | (276) all_0_19_19 = e2
% 12.93/3.62 |
% 12.93/3.62 | Combining equations (280,276) yields a new equation:
% 12.93/3.62 | (253) e2 = e1
% 12.93/3.62 |
% 12.93/3.62 | Equations (253) can reduce 96 to:
% 12.93/3.62 | (186) $false
% 12.93/3.62 |
% 12.93/3.62 |-The branch is then unsatisfiable
% 12.93/3.62 |-Branch two:
% 12.93/3.62 | (269) ~ (all_0_19_19 = e2)
% 12.93/3.62 | (268) all_0_23_23 = e2
% 12.93/3.62 |
% 12.93/3.62 | Equations (268) can reduce 732 to:
% 12.93/3.62 | (186) $false
% 12.93/3.62 |
% 12.93/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (165) ~ (all_0_15_15 = e3)
% 13.24/3.62 | (1511) all_0_19_19 = e3 | all_0_23_23 = e3
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (1511), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (272) all_0_19_19 = e3
% 13.24/3.62 |
% 13.24/3.62 | Combining equations (272,280) yields a new equation:
% 13.24/3.62 | (243) e3 = e1
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 243 yields:
% 13.24/3.62 | (244) e3 = e1
% 13.24/3.62 |
% 13.24/3.62 | Equations (244) can reduce 85 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (167) ~ (all_0_19_19 = e3)
% 13.24/3.62 | (234) all_0_23_23 = e3
% 13.24/3.62 |
% 13.24/3.62 | Equations (234) can reduce 169 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (786) ~ (all_0_14_14 = e0)
% 13.24/3.62 | (787) all_0_15_15 = e0
% 13.24/3.62 |
% 13.24/3.62 | Equations (787) can reduce 1162 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (284) ~ (all_0_16_16 = e0)
% 13.24/3.62 | (577) all_0_20_20 = e0
% 13.24/3.62 |
% 13.24/3.62 | Combining equations (242,577) yields a new equation:
% 13.24/3.62 | (486) e3 = e0
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 486 yields:
% 13.24/3.62 | (487) e3 = e0
% 13.24/3.62 |
% 13.24/3.62 | Equations (487) can reduce 21 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (209) ~ (all_0_13_13 = e1)
% 13.24/3.62 | (1611) all_0_17_17 = e1 | all_0_21_21 = e1
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (1611), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (206) all_0_17_17 = e1
% 13.24/3.62 |
% 13.24/3.62 | Equations (206) can reduce 189 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (189) ~ (all_0_17_17 = e1)
% 13.24/3.62 | (503) all_0_21_21 = e1
% 13.24/3.62 |
% 13.24/3.62 | Combining equations (503,652) yields a new equation:
% 13.24/3.62 | (508) e1 = e0
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 508 yields:
% 13.24/3.62 | (359) e1 = e0
% 13.24/3.62 |
% 13.24/3.62 | Equations (359) can reduce 80 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (218) ~ (all_0_8_8 = e1)
% 13.24/3.62 | (599) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (8), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (159) all_0_11_11 = e3
% 13.24/3.62 |
% 13.24/3.62 | Equations (159) can reduce 1366 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (1366) ~ (all_0_11_11 = e3)
% 13.24/3.62 | (1506) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (29), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (292) all_0_16_16 = e3
% 13.24/3.62 |
% 13.24/3.62 | Equations (292) can reduce 468 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (468) ~ (all_0_16_16 = e3)
% 13.24/3.62 | (1711) all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (1711), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (570) all_0_17_17 = e3
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (58), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (372) all_0_9_9 = e2
% 13.24/3.62 |
% 13.24/3.62 | Equations (372) can reduce 112 to:
% 13.24/3.62 | (3216) ~ (all_0_11_11 = e2)
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 3216 yields:
% 13.24/3.62 | (1371) ~ (all_0_11_11 = e2)
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (125), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (159) all_0_11_11 = e3
% 13.24/3.62 |
% 13.24/3.62 | Equations (159) can reduce 1366 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (1366) ~ (all_0_11_11 = e3)
% 13.24/3.62 | (1472) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (1472), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (961) all_0_11_11 = e2
% 13.24/3.62 |
% 13.24/3.62 | Equations (961) can reduce 1371 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (1371) ~ (all_0_11_11 = e2)
% 13.24/3.62 | (1492) all_0_11_11 = e1 | all_0_11_11 = e0
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (1492), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (287) all_0_11_11 = e1
% 13.24/3.62 |
% 13.24/3.62 | Equations (287) can reduce 290 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (290) ~ (all_0_11_11 = e1)
% 13.24/3.62 | (1477) all_0_11_11 = e0
% 13.24/3.62 |
% 13.24/3.62 | Equations (1477) can reduce 6 to:
% 13.24/3.62 | (2945) ~ (all_0_15_15 = e0)
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 2945 yields:
% 13.24/3.62 | (1162) ~ (all_0_15_15 = e0)
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (97), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (310) all_0_15_15 = e3
% 13.24/3.62 |
% 13.24/3.62 | Equations (310) can reduce 356 to:
% 13.24/3.62 | (85) ~ (e3 = e1)
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (599), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (449) all_0_12_12 = e1
% 13.24/3.62 |
% 13.24/3.62 | Combining equations (449,172) yields a new equation:
% 13.24/3.62 | (253) e2 = e1
% 13.24/3.62 |
% 13.24/3.62 | Equations (253) can reduce 96 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (452) ~ (all_0_12_12 = e1)
% 13.24/3.62 | (616) all_0_16_16 = e1 | all_0_20_20 = e1
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (616), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (478) all_0_16_16 = e1
% 13.24/3.62 |
% 13.24/3.62 | Equations (478) can reduce 185 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (185) ~ (all_0_16_16 = e1)
% 13.24/3.62 | (217) all_0_20_20 = e1
% 13.24/3.62 |
% 13.24/3.62 | Combining equations (242,217) yields a new equation:
% 13.24/3.62 | (243) e3 = e1
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 243 yields:
% 13.24/3.62 | (244) e3 = e1
% 13.24/3.62 |
% 13.24/3.62 | Equations (244) can reduce 85 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (165) ~ (all_0_15_15 = e3)
% 13.24/3.62 | (313) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (313), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (939) all_0_15_15 = e2
% 13.24/3.62 |
% 13.24/3.62 | Equations (939) can reduce 653 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (653) ~ (all_0_15_15 = e2)
% 13.24/3.62 | (942) all_0_15_15 = e1 | all_0_15_15 = e0
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (942), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (335) all_0_15_15 = e1
% 13.24/3.62 |
% 13.24/3.62 | Equations (335) can reduce 356 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (356) ~ (all_0_15_15 = e1)
% 13.24/3.62 | (787) all_0_15_15 = e0
% 13.24/3.62 |
% 13.24/3.62 | Equations (787) can reduce 1162 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (383) ~ (all_0_9_9 = e2)
% 13.24/3.62 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (384), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (421) all_0_13_13 = e2
% 13.24/3.62 |
% 13.24/3.62 | Equations (421) can reduce 175 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (175) ~ (all_0_13_13 = e2)
% 13.24/3.62 | (435) all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (435), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (302) all_0_17_17 = e2
% 13.24/3.62 |
% 13.24/3.62 | Combining equations (570,302) yields a new equation:
% 13.24/3.62 | (258) e3 = e2
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 258 yields:
% 13.24/3.62 | (259) e3 = e2
% 13.24/3.62 |
% 13.24/3.62 | Equations (259) can reduce 123 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (306) ~ (all_0_17_17 = e2)
% 13.24/3.62 | (257) all_0_21_21 = e2
% 13.24/3.62 |
% 13.24/3.62 | Combining equations (257,652) yields a new equation:
% 13.24/3.62 | (264) e2 = e0
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 264 yields:
% 13.24/3.62 | (265) e2 = e0
% 13.24/3.62 |
% 13.24/3.62 | Equations (265) can reduce 88 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (573) ~ (all_0_17_17 = e3)
% 13.24/3.62 | (1720) all_0_18_18 = e3 | all_0_19_19 = e3
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (1720), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (527) all_0_18_18 = e3
% 13.24/3.62 |
% 13.24/3.62 | Equations (527) can reduce 407 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (407) ~ (all_0_18_18 = e3)
% 13.24/3.62 | (272) all_0_19_19 = e3
% 13.24/3.62 |
% 13.24/3.62 | Combining equations (280,272) yields a new equation:
% 13.24/3.62 | (244) e3 = e1
% 13.24/3.62 |
% 13.24/3.62 | Equations (244) can reduce 85 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (246) ~ (all_0_20_20 = e3)
% 13.24/3.62 | (625) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (153), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (226) all_0_8_8 = e3
% 13.24/3.62 |
% 13.24/3.62 | Equations (226) can reduce 161 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (161) ~ (all_0_8_8 = e3)
% 13.24/3.62 | (229) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (625), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (252) all_0_20_20 = e2
% 13.24/3.62 |
% 13.24/3.62 | Equations (252) can reduce 181 to:
% 13.24/3.62 | (186) $false
% 13.24/3.62 |
% 13.24/3.62 |-The branch is then unsatisfiable
% 13.24/3.62 |-Branch two:
% 13.24/3.62 | (181) ~ (all_0_20_20 = e2)
% 13.24/3.62 | (632) all_0_20_20 = e1 | all_0_20_20 = e0
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (632), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (217) all_0_20_20 = e1
% 13.24/3.62 |
% 13.24/3.62 | Equations (217) can reduce 149 to:
% 13.24/3.62 | (218) ~ (all_0_8_8 = e1)
% 13.24/3.62 |
% 13.24/3.62 | Equations (217) can reduce 82 to:
% 13.24/3.62 | (185) ~ (all_0_16_16 = e1)
% 13.24/3.62 |
% 13.24/3.62 | Equations (217) can reduce 121 to:
% 13.24/3.62 | (2178) ~ (all_0_22_22 = e1)
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 2178 yields:
% 13.24/3.62 | (511) ~ (all_0_22_22 = e1)
% 13.24/3.62 |
% 13.24/3.62 | Equations (217) can reduce 246 to:
% 13.24/3.62 | (610) ~ (e3 = e1)
% 13.24/3.62 |
% 13.24/3.62 | Simplifying 610 yields:
% 13.24/3.62 | (85) ~ (e3 = e1)
% 13.24/3.62 |
% 13.24/3.62 | From (217) and (86) follows:
% 13.24/3.62 | (3297) op(e0, e3) = e1
% 13.24/3.62 |
% 13.24/3.62 +-Applying beta-rule and splitting (150), into two cases.
% 13.24/3.62 |-Branch one:
% 13.24/3.62 | (485) all_0_22_22 = e3
% 13.24/3.62 |
% 13.24/3.62 | Equations (485) can reduce 489 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (489) ~ (all_0_22_22 = e3)
% 13.24/3.63 | (1078) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (229), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (320) all_0_12_12 = e3
% 13.24/3.63 |
% 13.24/3.63 | Combining equations (320,172) yields a new equation:
% 13.24/3.63 | (258) e3 = e2
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 258 yields:
% 13.24/3.63 | (259) e3 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (259) can reduce 123 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (324) ~ (all_0_12_12 = e3)
% 13.24/3.63 | (1684) all_0_16_16 = e3 | all_0_20_20 = e3
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (1684), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (292) all_0_16_16 = e3
% 13.24/3.63 |
% 13.24/3.63 | Equations (292) can reduce 65 to:
% 13.24/3.63 | (161) ~ (all_0_8_8 = e3)
% 13.24/3.63 |
% 13.24/3.63 | Equations (292) can reduce 92 to:
% 13.24/3.63 | (1132) ~ (all_0_17_17 = e3)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 1132 yields:
% 13.24/3.63 | (573) ~ (all_0_17_17 = e3)
% 13.24/3.63 |
% 13.24/3.63 | Equations (292) can reduce 89 to:
% 13.24/3.63 | (406) ~ (all_0_18_18 = e3)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 406 yields:
% 13.24/3.63 | (407) ~ (all_0_18_18 = e3)
% 13.24/3.63 |
% 13.24/3.63 | Equations (292) can reduce 185 to:
% 13.24/3.63 | (85) ~ (e3 = e1)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (1078), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (263) all_0_22_22 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (263) can reduce 68 to:
% 13.24/3.63 | (177) ~ (all_0_14_14 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Equations (263) can reduce 91 to:
% 13.24/3.63 | (443) ~ (all_0_18_18 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Equations (263) can reduce 31 to:
% 13.24/3.63 | (731) ~ (all_0_23_23 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 731 yields:
% 13.24/3.63 | (732) ~ (all_0_23_23 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Equations (263) can reduce 489 to:
% 13.24/3.63 | (411) ~ (e3 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 411 yields:
% 13.24/3.63 | (123) ~ (e3 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Equations (263) can reduce 511 to:
% 13.24/3.63 | (96) ~ (e2 = e1)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (154), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (238) all_0_8_8 = e1
% 13.24/3.63 |
% 13.24/3.63 | Equations (238) can reduce 218 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (218) ~ (all_0_8_8 = e1)
% 13.24/3.63 | (241) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (132), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (527) all_0_18_18 = e3
% 13.24/3.63 |
% 13.24/3.63 | Equations (527) can reduce 407 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (407) ~ (all_0_18_18 = e3)
% 13.24/3.63 | (581) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (16), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (593) all_0_10_10 = e1
% 13.24/3.63 |
% 13.24/3.63 | Combining equations (593,184) yields a new equation:
% 13.24/3.63 | (244) e3 = e1
% 13.24/3.63 |
% 13.24/3.63 | Equations (244) can reduce 85 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (501) ~ (all_0_10_10 = e1)
% 13.24/3.63 | (1036) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 13.24/3.63 |
% 13.24/3.63 | Equations (184) can reduce 501 to:
% 13.24/3.63 | (85) ~ (e3 = e1)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (152), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (226) all_0_8_8 = e3
% 13.24/3.63 |
% 13.24/3.63 | Equations (226) can reduce 161 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (161) ~ (all_0_8_8 = e3)
% 13.24/3.63 | (233) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (142), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (234) all_0_23_23 = e3
% 13.24/3.63 |
% 13.24/3.63 | Equations (234) can reduce 124 to:
% 13.24/3.63 | (1366) ~ (all_0_11_11 = e3)
% 13.24/3.63 |
% 13.24/3.63 | Equations (234) can reduce 20 to:
% 13.24/3.63 | (165) ~ (all_0_15_15 = e3)
% 13.24/3.63 |
% 13.24/3.63 | Equations (234) can reduce 732 to:
% 13.24/3.63 | (123) ~ (e3 = e2)
% 13.24/3.63 |
% 13.24/3.63 | From (234) and (44) follows:
% 13.24/3.63 | (3345) op(all_0_1_1, e3) = all_0_0_0
% 13.24/3.63 |
% 13.24/3.63 | From (234)(234) and (116) follows:
% 13.24/3.63 | (3346) op(e3, e3) = all_0_1_1
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (233), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (374) all_0_8_8 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (374) can reduce 373 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (373) ~ (all_0_8_8 = e2)
% 13.24/3.63 | (377) all_0_8_8 = e1 | all_0_8_8 = e0
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (1036), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (458) all_0_14_14 = e1
% 13.24/3.63 |
% 13.24/3.63 | Equations (458) can reduce 53 to:
% 13.24/3.63 | (209) ~ (all_0_13_13 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Equations (458) can reduce 59 to:
% 13.24/3.63 | (3353) ~ (all_0_15_15 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 3353 yields:
% 13.24/3.63 | (356) ~ (all_0_15_15 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Equations (458) can reduce 177 to:
% 13.24/3.63 | (224) ~ (e2 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 224 yields:
% 13.24/3.63 | (96) ~ (e2 = e1)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (13), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (393) all_0_9_9 = e1
% 13.24/3.63 |
% 13.24/3.63 | Equations (393) can reduce 5 to:
% 13.24/3.63 | (218) ~ (all_0_8_8 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Equations (393) can reduce 112 to:
% 13.24/3.63 | (3359) ~ (all_0_11_11 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 3359 yields:
% 13.24/3.63 | (290) ~ (all_0_11_11 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Equations (393) can reduce 69 to:
% 13.24/3.63 | (1123) ~ (all_0_13_13 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 1123 yields:
% 13.24/3.63 | (209) ~ (all_0_13_13 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Equations (393) can reduce 162 to:
% 13.24/3.63 | (610) ~ (e3 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 610 yields:
% 13.24/3.63 | (85) ~ (e3 = e1)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (23), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (374) all_0_8_8 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (374) can reduce 373 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (373) ~ (all_0_8_8 = e2)
% 13.24/3.63 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (377), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (238) all_0_8_8 = e1
% 13.24/3.63 |
% 13.24/3.63 | Equations (238) can reduce 218 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (218) ~ (all_0_8_8 = e1)
% 13.24/3.63 | (330) all_0_8_8 = e0
% 13.24/3.63 |
% 13.24/3.63 | Equations (330) can reduce 101 to:
% 13.24/3.63 | (1429) ~ (all_0_11_11 = e0)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 1429 yields:
% 13.24/3.63 | (1430) ~ (all_0_11_11 = e0)
% 13.24/3.63 |
% 13.24/3.63 | Equations (330) can reduce 161 to:
% 13.24/3.63 | (793) ~ (e3 = e0)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 793 yields:
% 13.24/3.63 | (21) ~ (e3 = e0)
% 13.24/3.63 |
% 13.24/3.63 | Equations (330) can reduce 218 to:
% 13.24/3.63 | (331) ~ (e1 = e0)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 331 yields:
% 13.24/3.63 | (80) ~ (e1 = e0)
% 13.24/3.63 |
% 13.24/3.63 | From (330) and (113) follows:
% 13.24/3.63 | (3379) op(e3, e3) = e0
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (742), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (372) all_0_9_9 = e2
% 13.24/3.63 |
% 13.24/3.63 | Combining equations (372,393) yields a new equation:
% 13.24/3.63 | (303) e2 = e1
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 303 yields:
% 13.24/3.63 | (253) e2 = e1
% 13.24/3.63 |
% 13.24/3.63 | Equations (253) can reduce 96 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (383) ~ (all_0_9_9 = e2)
% 13.24/3.63 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (930), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (523) all_0_10_10 = e2
% 13.24/3.63 |
% 13.24/3.63 | Combining equations (523,184) yields a new equation:
% 13.24/3.63 | (259) e3 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (259) can reduce 123 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (591) ~ (all_0_10_10 = e2)
% 13.24/3.63 | (961) all_0_11_11 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (961) can reduce 6 to:
% 13.24/3.63 | (696) ~ (all_0_15_15 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 696 yields:
% 13.24/3.63 | (653) ~ (all_0_15_15 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Equations (961) can reduce 1366 to:
% 13.24/3.63 | (411) ~ (e3 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 411 yields:
% 13.24/3.63 | (123) ~ (e3 = e2)
% 13.24/3.63 |
% 13.24/3.63 | Equations (961) can reduce 290 to:
% 13.24/3.63 | (96) ~ (e2 = e1)
% 13.24/3.63 |
% 13.24/3.63 | Equations (961) can reduce 1430 to:
% 13.24/3.63 | (88) ~ (e2 = e0)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (148), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (481) all_0_16_16 = e0
% 13.24/3.63 |
% 13.24/3.63 | Combining equations (292,481) yields a new equation:
% 13.24/3.63 | (486) e3 = e0
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 486 yields:
% 13.24/3.63 | (487) e3 = e0
% 13.24/3.63 |
% 13.24/3.63 | Equations (487) can reduce 21 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (284) ~ (all_0_16_16 = e0)
% 13.24/3.63 | (711) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 13.24/3.63 |
% 13.24/3.63 | Equations (292) can reduce 284 to:
% 13.24/3.63 | (21) ~ (e3 = e0)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (97), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (310) all_0_15_15 = e3
% 13.24/3.63 |
% 13.24/3.63 | Equations (310) can reduce 165 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (165) ~ (all_0_15_15 = e3)
% 13.24/3.63 | (313) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (49), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (295) all_0_16_16 = e2
% 13.24/3.63 |
% 13.24/3.63 | Combining equations (292,295) yields a new equation:
% 13.24/3.63 | (258) e3 = e2
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 258 yields:
% 13.24/3.63 | (259) e3 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (259) can reduce 123 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (179) ~ (all_0_16_16 = e2)
% 13.24/3.63 | (300) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (292) can reduce 179 to:
% 13.24/3.63 | (123) ~ (e3 = e2)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (111), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (596) all_0_10_10 = e0
% 13.24/3.63 |
% 13.24/3.63 | Combining equations (596,184) yields a new equation:
% 13.24/3.63 | (487) e3 = e0
% 13.24/3.63 |
% 13.24/3.63 | Equations (487) can reduce 21 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (194) ~ (all_0_10_10 = e0)
% 13.24/3.63 | (834) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (135), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (202) all_0_9_9 = e3
% 13.24/3.63 |
% 13.24/3.63 | Combining equations (202,393) yields a new equation:
% 13.24/3.63 | (243) e3 = e1
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 243 yields:
% 13.24/3.63 | (244) e3 = e1
% 13.24/3.63 |
% 13.24/3.63 | Equations (244) can reduce 85 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (162) ~ (all_0_9_9 = e3)
% 13.24/3.63 | (539) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (106), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (320) all_0_12_12 = e3
% 13.24/3.63 |
% 13.24/3.63 | Combining equations (320,172) yields a new equation:
% 13.24/3.63 | (258) e3 = e2
% 13.24/3.63 |
% 13.24/3.63 | Simplifying 258 yields:
% 13.24/3.63 | (259) e3 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (259) can reduce 123 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (324) ~ (all_0_12_12 = e3)
% 13.24/3.63 | (325) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (313), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (939) all_0_15_15 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (939) can reduce 653 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (653) ~ (all_0_15_15 = e2)
% 13.24/3.63 | (942) all_0_15_15 = e1 | all_0_15_15 = e0
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (300), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (302) all_0_17_17 = e2
% 13.24/3.63 |
% 13.24/3.63 | Equations (302) can reduce 48 to:
% 13.24/3.63 | (175) ~ (all_0_13_13 = e2)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (942), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (335) all_0_15_15 = e1
% 13.24/3.63 |
% 13.24/3.63 | Equations (335) can reduce 356 to:
% 13.24/3.63 | (186) $false
% 13.24/3.63 |
% 13.24/3.63 |-The branch is then unsatisfiable
% 13.24/3.63 |-Branch two:
% 13.24/3.63 | (356) ~ (all_0_15_15 = e1)
% 13.24/3.63 | (787) all_0_15_15 = e0
% 13.24/3.63 |
% 13.24/3.63 | Equations (787) can reduce 60 to:
% 13.24/3.63 | (398) ~ (all_0_13_13 = e0)
% 13.24/3.63 |
% 13.24/3.63 +-Applying beta-rule and splitting (325), into two cases.
% 13.24/3.63 |-Branch one:
% 13.24/3.63 | (400) all_0_13_13 = e3
% 13.24/3.63 |
% 13.24/3.63 | From (400) and (130) follows:
% 13.24/3.63 | (548) op(all_0_7_7, e3) = all_0_6_6
% 13.24/3.63 |
% 13.24/3.63 | From (400)(400) and (56) follows:
% 13.24/3.63 | (549) op(e3, e3) = all_0_7_7
% 13.24/3.63 |
% 13.24/3.63 | Instantiating formula (35) with e3, e3, all_0_7_7, all_0_1_1 and discharging atoms op(e3, e3) = all_0_1_1, op(e3, e3) = all_0_7_7, yields:
% 13.24/3.64 | (844) all_0_1_1 = all_0_7_7
% 13.24/3.64 |
% 13.24/3.64 | Instantiating formula (35) with e3, e3, e0, all_0_1_1 and discharging atoms op(e3, e3) = all_0_1_1, op(e3, e3) = e0, yields:
% 13.24/3.64 | (845) all_0_1_1 = e0
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (844,845) yields a new equation:
% 13.24/3.64 | (846) all_0_7_7 = e0
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 846 yields:
% 13.24/3.64 | (847) all_0_7_7 = e0
% 13.24/3.64 |
% 13.24/3.64 | From (845) and (3345) follows:
% 13.24/3.64 | (3450) op(e0, e3) = all_0_0_0
% 13.24/3.64 |
% 13.24/3.64 | From (847) and (548) follows:
% 13.24/3.64 | (3451) op(e0, e3) = all_0_6_6
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (118), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (1552) ~ (all_0_6_6 = e1)
% 13.24/3.64 |
% 13.24/3.64 | Instantiating formula (35) with e0, e3, all_0_0_0, e1 and discharging atoms op(e0, e3) = all_0_0_0, op(e0, e3) = e1, yields:
% 13.24/3.64 | (3453) all_0_0_0 = e1
% 13.24/3.64 |
% 13.24/3.64 | Instantiating formula (35) with e0, e3, all_0_6_6, all_0_0_0 and discharging atoms op(e0, e3) = all_0_0_0, op(e0, e3) = all_0_6_6, yields:
% 13.24/3.64 | (852) all_0_0_0 = all_0_6_6
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (3453,852) yields a new equation:
% 13.24/3.64 | (346) all_0_6_6 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (346) can reduce 1552 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (346) all_0_6_6 = e1
% 13.24/3.64 | (3458) ~ (all_0_7_7 = e0) | ~ (all_0_13_13 = e3)
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (3458), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (857) ~ (all_0_7_7 = e0)
% 13.24/3.64 |
% 13.24/3.64 | Equations (847) can reduce 857 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (847) all_0_7_7 = e0
% 13.24/3.64 | (250) ~ (all_0_13_13 = e3)
% 13.24/3.64 |
% 13.24/3.64 | Equations (400) can reduce 250 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (250) ~ (all_0_13_13 = e3)
% 13.24/3.64 | (403) all_0_14_14 = e3 | all_0_15_15 = e3
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (539), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (400) all_0_13_13 = e3
% 13.24/3.64 |
% 13.24/3.64 | Equations (400) can reduce 250 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (250) ~ (all_0_13_13 = e3)
% 13.24/3.64 | (569) all_0_17_17 = e3 | all_0_21_21 = e3
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (95), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (400) all_0_13_13 = e3
% 13.24/3.64 |
% 13.24/3.64 | Equations (400) can reduce 250 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (250) ~ (all_0_13_13 = e3)
% 13.24/3.64 | (417) all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (417), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (421) all_0_13_13 = e2
% 13.24/3.64 |
% 13.24/3.64 | Equations (421) can reduce 175 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (175) ~ (all_0_13_13 = e2)
% 13.24/3.64 | (424) all_0_13_13 = e1 | all_0_13_13 = e0
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (424), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (425) all_0_13_13 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (425) can reduce 209 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (209) ~ (all_0_13_13 = e1)
% 13.24/3.64 | (326) all_0_13_13 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (326) can reduce 398 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (306) ~ (all_0_17_17 = e2)
% 13.24/3.64 | (307) all_0_18_18 = e2 | all_0_19_19 = e2
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (58), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (372) all_0_9_9 = e2
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (372,393) yields a new equation:
% 13.24/3.64 | (303) e2 = e1
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 303 yields:
% 13.24/3.64 | (253) e2 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (253) can reduce 96 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (383) ~ (all_0_9_9 = e2)
% 13.24/3.64 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (834), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (782) all_0_14_14 = e0
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (458,782) yields a new equation:
% 13.24/3.64 | (508) e1 = e0
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 508 yields:
% 13.24/3.64 | (359) e1 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (359) can reduce 80 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (786) ~ (all_0_14_14 = e0)
% 13.24/3.64 | (840) all_0_18_18 = e0 | all_0_22_22 = e0
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (840), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (589) all_0_18_18 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (589) can reduce 443 to:
% 13.24/3.64 | (285) ~ (e2 = e0)
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 285 yields:
% 13.24/3.64 | (88) ~ (e2 = e0)
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (384), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (421) all_0_13_13 = e2
% 13.24/3.64 |
% 13.24/3.64 | Equations (421) can reduce 175 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (175) ~ (all_0_13_13 = e2)
% 13.24/3.64 | (435) all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (435), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (302) all_0_17_17 = e2
% 13.24/3.64 |
% 13.24/3.64 | Equations (302) can reduce 306 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (306) ~ (all_0_17_17 = e2)
% 13.24/3.64 | (257) all_0_21_21 = e2
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (652,257) yields a new equation:
% 13.24/3.64 | (265) e2 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (265) can reduce 88 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (195) ~ (all_0_18_18 = e0)
% 13.24/3.64 | (192) all_0_22_22 = e0
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (192,263) yields a new equation:
% 13.24/3.64 | (265) e2 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (265) can reduce 88 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (208) ~ (all_0_9_9 = e1)
% 13.24/3.64 | (1606) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (377), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (238) all_0_8_8 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (238) can reduce 218 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (218) ~ (all_0_8_8 = e1)
% 13.24/3.64 | (330) all_0_8_8 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (330) can reduce 218 to:
% 13.24/3.64 | (331) ~ (e1 = e0)
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 331 yields:
% 13.24/3.64 | (80) ~ (e1 = e0)
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (1606), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (425) all_0_13_13 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (425) can reduce 209 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (209) ~ (all_0_13_13 = e1)
% 13.24/3.64 | (1611) all_0_17_17 = e1 | all_0_21_21 = e1
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (1611), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (206) all_0_17_17 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (206) can reduce 189 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (189) ~ (all_0_17_17 = e1)
% 13.24/3.64 | (503) all_0_21_21 = e1
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (503,652) yields a new equation:
% 13.24/3.64 | (508) e1 = e0
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 508 yields:
% 13.24/3.64 | (359) e1 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (359) can reduce 80 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (462) ~ (all_0_14_14 = e1)
% 13.24/3.64 | (1733) all_0_18_18 = e1 | all_0_22_22 = e1
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (107), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (570) all_0_17_17 = e3
% 13.24/3.64 |
% 13.24/3.64 | Equations (570) can reduce 573 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (573) ~ (all_0_17_17 = e3)
% 13.24/3.64 | (919) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (581), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (410) all_0_18_18 = e2
% 13.24/3.64 |
% 13.24/3.64 | Equations (410) can reduce 443 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (443) ~ (all_0_18_18 = e2)
% 13.24/3.64 | (585) all_0_18_18 = e1 | all_0_18_18 = e0
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (585), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (586) all_0_18_18 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (586) can reduce 212 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (212) ~ (all_0_18_18 = e1)
% 13.24/3.64 | (589) all_0_18_18 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (589) can reduce 115 to:
% 13.24/3.64 | (680) ~ (all_0_17_17 = e0)
% 13.24/3.64 |
% 13.24/3.64 | Equations (589) can reduce 212 to:
% 13.24/3.64 | (331) ~ (e1 = e0)
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 331 yields:
% 13.24/3.64 | (80) ~ (e1 = e0)
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (919), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (302) all_0_17_17 = e2
% 13.24/3.64 |
% 13.24/3.64 | Equations (302) can reduce 189 to:
% 13.24/3.64 | (96) ~ (e2 = e1)
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (1733), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (586) all_0_18_18 = e1
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (589,586) yields a new equation:
% 13.24/3.64 | (359) e1 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (359) can reduce 80 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (212) ~ (all_0_18_18 = e1)
% 13.24/3.64 | (507) all_0_22_22 = e1
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (263,507) yields a new equation:
% 13.24/3.64 | (303) e2 = e1
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 303 yields:
% 13.24/3.64 | (253) e2 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (253) can reduce 96 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (306) ~ (all_0_17_17 = e2)
% 13.24/3.64 | (923) all_0_17_17 = e1 | all_0_17_17 = e0
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (923), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (206) all_0_17_17 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (206) can reduce 189 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (189) ~ (all_0_17_17 = e1)
% 13.24/3.64 | (823) all_0_17_17 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (823) can reduce 680 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (169) ~ (all_0_23_23 = e3)
% 13.24/3.64 | (237) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (148), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (481) all_0_16_16 = e0
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (292,481) yields a new equation:
% 13.24/3.64 | (486) e3 = e0
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 486 yields:
% 13.24/3.64 | (487) e3 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (487) can reduce 21 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (284) ~ (all_0_16_16 = e0)
% 13.24/3.64 | (711) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0
% 13.24/3.64 |
% 13.24/3.64 | Equations (292) can reduce 284 to:
% 13.24/3.64 | (21) ~ (e3 = e0)
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (49), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (295) all_0_16_16 = e2
% 13.24/3.64 |
% 13.24/3.64 | Combining equations (292,295) yields a new equation:
% 13.24/3.64 | (258) e3 = e2
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 258 yields:
% 13.24/3.64 | (259) e3 = e2
% 13.24/3.64 |
% 13.24/3.64 | Equations (259) can reduce 123 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (179) ~ (all_0_16_16 = e2)
% 13.24/3.64 | (300) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (135), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (202) all_0_9_9 = e3
% 13.24/3.64 |
% 13.24/3.64 | Equations (202) can reduce 162 to:
% 13.24/3.64 | (186) $false
% 13.24/3.64 |
% 13.24/3.64 |-The branch is then unsatisfiable
% 13.24/3.64 |-Branch two:
% 13.24/3.64 | (162) ~ (all_0_9_9 = e3)
% 13.24/3.64 | (539) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3
% 13.24/3.64 |
% 13.24/3.64 +-Applying beta-rule and splitting (241), into two cases.
% 13.24/3.64 |-Branch one:
% 13.24/3.64 | (393) all_0_9_9 = e1
% 13.24/3.64 |
% 13.24/3.64 | Equations (393) can reduce 25 to:
% 13.24/3.64 | (660) ~ (all_0_17_17 = e1)
% 13.24/3.64 |
% 13.24/3.64 | Simplifying 660 yields:
% 13.24/3.64 | (189) ~ (all_0_17_17 = e1)
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (539), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (400) all_0_13_13 = e3
% 13.24/3.65 |
% 13.24/3.65 | Equations (400) can reduce 53 to:
% 13.24/3.65 | (1452) ~ (all_0_14_14 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 1452 yields:
% 13.24/3.65 | (465) ~ (all_0_14_14 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Equations (400) can reduce 60 to:
% 13.24/3.65 | (164) ~ (all_0_15_15 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 164 yields:
% 13.24/3.65 | (165) ~ (all_0_15_15 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Equations (400) can reduce 175 to:
% 13.24/3.65 | (123) ~ (e3 = e2)
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (97), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (310) all_0_15_15 = e3
% 13.24/3.65 |
% 13.24/3.65 | Equations (310) can reduce 165 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (165) ~ (all_0_15_15 = e3)
% 13.24/3.65 | (313) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (313), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (939) all_0_15_15 = e2
% 13.24/3.65 |
% 13.24/3.65 | Equations (939) can reduce 653 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (653) ~ (all_0_15_15 = e2)
% 13.24/3.65 | (942) all_0_15_15 = e1 | all_0_15_15 = e0
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (942), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (335) all_0_15_15 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (335) can reduce 356 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (356) ~ (all_0_15_15 = e1)
% 13.24/3.65 | (787) all_0_15_15 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (787) can reduce 653 to:
% 13.24/3.65 | (285) ~ (e2 = e0)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 285 yields:
% 13.24/3.65 | (88) ~ (e2 = e0)
% 13.24/3.65 |
% 13.24/3.65 | Equations (787) can reduce 356 to:
% 13.24/3.65 | (331) ~ (e1 = e0)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 331 yields:
% 13.24/3.65 | (80) ~ (e1 = e0)
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (58), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (372) all_0_9_9 = e2
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (372,393) yields a new equation:
% 13.24/3.65 | (303) e2 = e1
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 303 yields:
% 13.24/3.65 | (253) e2 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (253) can reduce 96 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (383) ~ (all_0_9_9 = e2)
% 13.24/3.65 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (711), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (823) all_0_17_17 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (823) can reduce 680 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (680) ~ (all_0_17_17 = e0)
% 13.24/3.65 | (828) all_0_18_18 = e0 | all_0_19_19 = e0
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (300), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (302) all_0_17_17 = e2
% 13.24/3.65 |
% 13.24/3.65 | Equations (302) can reduce 189 to:
% 13.24/3.65 | (96) ~ (e2 = e1)
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (828), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (589) all_0_18_18 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (589) can reduce 407 to:
% 13.24/3.65 | (793) ~ (e3 = e0)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 793 yields:
% 13.24/3.65 | (21) ~ (e3 = e0)
% 13.24/3.65 |
% 13.24/3.65 | Equations (589) can reduce 212 to:
% 13.24/3.65 | (331) ~ (e1 = e0)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 331 yields:
% 13.24/3.65 | (80) ~ (e1 = e0)
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (8), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (159) all_0_11_11 = e3
% 13.24/3.65 |
% 13.24/3.65 | Equations (159) can reduce 1366 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (1366) ~ (all_0_11_11 = e3)
% 13.24/3.65 | (1506) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (1506), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (310) all_0_15_15 = e3
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (310,787) yields a new equation:
% 13.24/3.65 | (486) e3 = e0
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 486 yields:
% 13.24/3.65 | (487) e3 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (487) can reduce 21 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (165) ~ (all_0_15_15 = e3)
% 13.24/3.65 | (1511) all_0_19_19 = e3 | all_0_23_23 = e3
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (1036), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (458) all_0_14_14 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (458) can reduce 465 to:
% 13.24/3.65 | (610) ~ (e3 = e1)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 610 yields:
% 13.24/3.65 | (85) ~ (e3 = e1)
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (1511), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (272) all_0_19_19 = e3
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (280,272) yields a new equation:
% 13.24/3.65 | (244) e3 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (244) can reduce 85 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (167) ~ (all_0_19_19 = e3)
% 13.24/3.65 | (234) all_0_23_23 = e3
% 13.24/3.65 |
% 13.24/3.65 | Equations (234) can reduce 169 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (462) ~ (all_0_14_14 = e1)
% 13.24/3.65 | (1733) all_0_18_18 = e1 | all_0_22_22 = e1
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (1733), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (586) all_0_18_18 = e1
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (589,586) yields a new equation:
% 13.24/3.65 | (359) e1 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (359) can reduce 80 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (212) ~ (all_0_18_18 = e1)
% 13.24/3.65 | (507) all_0_22_22 = e1
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (263,507) yields a new equation:
% 13.24/3.65 | (303) e2 = e1
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 303 yields:
% 13.24/3.65 | (253) e2 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (253) can reduce 96 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (195) ~ (all_0_18_18 = e0)
% 13.24/3.65 | (283) all_0_19_19 = e0
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (280,283) yields a new equation:
% 13.24/3.65 | (508) e1 = e0
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 508 yields:
% 13.24/3.65 | (359) e1 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (359) can reduce 80 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (306) ~ (all_0_17_17 = e2)
% 13.24/3.65 | (307) all_0_18_18 = e2 | all_0_19_19 = e2
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (384), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (421) all_0_13_13 = e2
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (421,400) yields a new equation:
% 13.24/3.65 | (259) e3 = e2
% 13.24/3.65 |
% 13.24/3.65 | Equations (259) can reduce 123 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (175) ~ (all_0_13_13 = e2)
% 13.24/3.65 | (435) all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (435), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (302) all_0_17_17 = e2
% 13.24/3.65 |
% 13.24/3.65 | Equations (302) can reduce 306 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (306) ~ (all_0_17_17 = e2)
% 13.24/3.65 | (257) all_0_21_21 = e2
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (652,257) yields a new equation:
% 13.24/3.65 | (265) e2 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (265) can reduce 88 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (250) ~ (all_0_13_13 = e3)
% 13.24/3.65 | (569) all_0_17_17 = e3 | all_0_21_21 = e3
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (58), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (372) all_0_9_9 = e2
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (372,393) yields a new equation:
% 13.24/3.65 | (303) e2 = e1
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 303 yields:
% 13.24/3.65 | (253) e2 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (253) can reduce 96 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (383) ~ (all_0_9_9 = e2)
% 13.24/3.65 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.65 |
% 13.24/3.65 | Equations (393) can reduce 383 to:
% 13.24/3.65 | (224) ~ (e2 = e1)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 224 yields:
% 13.24/3.65 | (96) ~ (e2 = e1)
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (300), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (302) all_0_17_17 = e2
% 13.24/3.65 |
% 13.24/3.65 | Equations (302) can reduce 573 to:
% 13.24/3.65 | (411) ~ (e3 = e2)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 411 yields:
% 13.24/3.65 | (123) ~ (e3 = e2)
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (569), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (570) all_0_17_17 = e3
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (302,570) yields a new equation:
% 13.24/3.65 | (259) e3 = e2
% 13.24/3.65 |
% 13.24/3.65 | Equations (259) can reduce 123 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (573) ~ (all_0_17_17 = e3)
% 13.24/3.65 | (248) all_0_21_21 = e3
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (652,248) yields a new equation:
% 13.24/3.65 | (487) e3 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (487) can reduce 21 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (306) ~ (all_0_17_17 = e2)
% 13.24/3.65 | (307) all_0_18_18 = e2 | all_0_19_19 = e2
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (307), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (410) all_0_18_18 = e2
% 13.24/3.65 |
% 13.24/3.65 | Equations (410) can reduce 443 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (443) ~ (all_0_18_18 = e2)
% 13.24/3.65 | (276) all_0_19_19 = e2
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (280,276) yields a new equation:
% 13.24/3.65 | (253) e2 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (253) can reduce 96 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (208) ~ (all_0_9_9 = e1)
% 13.24/3.65 | (1070) all_0_10_10 = e1 | all_0_11_11 = e1
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (1070), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (593) all_0_10_10 = e1
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (593,184) yields a new equation:
% 13.24/3.65 | (244) e3 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (244) can reduce 85 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (501) ~ (all_0_10_10 = e1)
% 13.24/3.65 | (287) all_0_11_11 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (287) can reduce 290 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (267) ~ (all_0_22_22 = e2)
% 13.24/3.65 | (1086) all_0_22_22 = e1 | all_0_22_22 = e0
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (1086), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (507) all_0_22_22 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (507) can reduce 511 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (511) ~ (all_0_22_22 = e1)
% 13.24/3.65 | (192) all_0_22_22 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (192) can reduce 683 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (468) ~ (all_0_16_16 = e3)
% 13.24/3.65 | (242) all_0_20_20 = e3
% 13.24/3.65 |
% 13.24/3.65 | Combining equations (242,217) yields a new equation:
% 13.24/3.65 | (243) e3 = e1
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 243 yields:
% 13.24/3.65 | (244) e3 = e1
% 13.24/3.65 |
% 13.24/3.65 | Equations (244) can reduce 85 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (492) ~ (all_0_20_20 = e1)
% 13.24/3.65 | (577) all_0_20_20 = e0
% 13.24/3.65 |
% 13.24/3.65 | Equations (577) can reduce 160 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (655) all_0_16_16 = e1 & ~ (all_0_10_10 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Applying alpha-rule on (655) yields:
% 13.24/3.65 | (478) all_0_16_16 = e1
% 13.24/3.65 | (163) ~ (all_0_10_10 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Equations (478) can reduce 185 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (1364) all_0_20_20 = e0 & ~ (all_0_11_11 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Applying alpha-rule on (1364) yields:
% 13.24/3.65 | (577) all_0_20_20 = e0
% 13.24/3.65 | (1366) ~ (all_0_11_11 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Equations (577) can reduce 160 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (187) all_0_14_14 = e2 & ~ (all_0_17_17 = e1)
% 13.24/3.65 |
% 13.24/3.65 | Applying alpha-rule on (187) yields:
% 13.24/3.65 | (188) all_0_14_14 = e2
% 13.24/3.65 | (189) ~ (all_0_17_17 = e1)
% 13.24/3.65 |
% 13.24/3.65 | Equations (188) can reduce 22 to:
% 13.24/3.65 | (591) ~ (all_0_10_10 = e2)
% 13.24/3.65 |
% 13.24/3.65 | Equations (188) can reduce 4 to:
% 13.24/3.65 | (203) ~ (all_0_12_12 = e2)
% 13.24/3.65 |
% 13.24/3.65 | Equations (188) can reduce 53 to:
% 13.24/3.65 | (175) ~ (all_0_13_13 = e2)
% 13.24/3.65 |
% 13.24/3.65 | Equations (188) can reduce 72 to:
% 13.24/3.65 | (524) ~ (all_0_18_18 = e2)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 524 yields:
% 13.24/3.65 | (443) ~ (all_0_18_18 = e2)
% 13.24/3.65 |
% 13.24/3.65 | Equations (188) can reduce 68 to:
% 13.24/3.65 | (700) ~ (all_0_22_22 = e2)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 700 yields:
% 13.24/3.65 | (267) ~ (all_0_22_22 = e2)
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (83), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (170) (all_0_12_12 = e2 & ~ (all_0_9_9 = e3)) | (all_0_16_16 = e1 & ~ (all_0_10_10 = e3))
% 13.24/3.65 |
% 13.24/3.65 +-Applying beta-rule and splitting (170), into two cases.
% 13.24/3.65 |-Branch one:
% 13.24/3.65 | (171) all_0_12_12 = e2 & ~ (all_0_9_9 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Applying alpha-rule on (171) yields:
% 13.24/3.65 | (172) all_0_12_12 = e2
% 13.24/3.65 | (162) ~ (all_0_9_9 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Equations (172) can reduce 203 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (655) all_0_16_16 = e1 & ~ (all_0_10_10 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Applying alpha-rule on (655) yields:
% 13.24/3.65 | (478) all_0_16_16 = e1
% 13.24/3.65 | (163) ~ (all_0_10_10 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Equations (478) can reduce 185 to:
% 13.24/3.65 | (186) $false
% 13.24/3.65 |
% 13.24/3.65 |-The branch is then unsatisfiable
% 13.24/3.65 |-Branch two:
% 13.24/3.65 | (1364) all_0_20_20 = e0 & ~ (all_0_11_11 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Applying alpha-rule on (1364) yields:
% 13.24/3.65 | (577) all_0_20_20 = e0
% 13.24/3.65 | (1366) ~ (all_0_11_11 = e3)
% 13.24/3.65 |
% 13.24/3.65 | Equations (577) can reduce 149 to:
% 13.24/3.65 | (354) ~ (all_0_8_8 = e0)
% 13.24/3.65 |
% 13.24/3.65 | Equations (577) can reduce 81 to:
% 13.24/3.65 | (317) ~ (all_0_12_12 = e0)
% 13.24/3.65 |
% 13.24/3.65 | Equations (577) can reduce 45 to:
% 13.24/3.65 | (1821) ~ (all_0_21_21 = e0)
% 13.24/3.65 |
% 13.24/3.65 | Simplifying 1821 yields:
% 13.24/3.65 | (197) ~ (all_0_21_21 = e0)
% 13.24/3.65 |
% 13.24/3.66 | Equations (577) can reduce 121 to:
% 13.24/3.66 | (682) ~ (all_0_22_22 = e0)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 682 yields:
% 13.24/3.66 | (683) ~ (all_0_22_22 = e0)
% 13.24/3.66 |
% 13.24/3.66 | Equations (577) can reduce 42 to:
% 13.24/3.66 | (198) ~ (all_0_23_23 = e0)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 198 yields:
% 13.24/3.66 | (199) ~ (all_0_23_23 = e0)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (119), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (200) (all_0_9_9 = e3 & ~ (all_0_12_12 = e2)) | (all_0_17_17 = e1 & ~ (all_0_14_14 = e2))
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (200), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (201) all_0_9_9 = e3 & ~ (all_0_12_12 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Applying alpha-rule on (201) yields:
% 13.24/3.66 | (202) all_0_9_9 = e3
% 13.24/3.66 | (203) ~ (all_0_12_12 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Equations (202) can reduce 5 to:
% 13.24/3.66 | (161) ~ (all_0_8_8 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (202) can reduce 7 to:
% 13.24/3.66 | (1398) ~ (all_0_10_10 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 1398 yields:
% 13.24/3.66 | (163) ~ (all_0_10_10 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (202) can reduce 112 to:
% 13.24/3.66 | (1400) ~ (all_0_11_11 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 1400 yields:
% 13.24/3.66 | (1366) ~ (all_0_11_11 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (202) can reduce 100 to:
% 13.24/3.66 | (495) ~ (all_0_21_21 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 495 yields:
% 13.24/3.66 | (483) ~ (all_0_21_21 = e3)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (150), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (485) all_0_22_22 = e3
% 13.24/3.66 |
% 13.24/3.66 | Equations (485) can reduce 27 to:
% 13.24/3.66 | (163) ~ (all_0_10_10 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (485) can reduce 91 to:
% 13.24/3.66 | (407) ~ (all_0_18_18 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (485) can reduce 2 to:
% 13.24/3.66 | (483) ~ (all_0_21_21 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (485) can reduce 31 to:
% 13.24/3.66 | (168) ~ (all_0_23_23 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 168 yields:
% 13.24/3.66 | (169) ~ (all_0_23_23 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (485) can reduce 683 to:
% 13.24/3.66 | (21) ~ (e3 = e0)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (132), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (527) all_0_18_18 = e3
% 13.24/3.66 |
% 13.24/3.66 | Equations (527) can reduce 407 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (407) ~ (all_0_18_18 = e3)
% 13.24/3.66 | (581) all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (142), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (234) all_0_23_23 = e3
% 13.24/3.66 |
% 13.24/3.66 | Equations (234) can reduce 169 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (169) ~ (all_0_23_23 = e3)
% 13.24/3.66 | (237) all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (8), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (159) all_0_11_11 = e3
% 13.24/3.66 |
% 13.24/3.66 | Equations (159) can reduce 1366 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (1366) ~ (all_0_11_11 = e3)
% 13.24/3.66 | (1506) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (16), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (593) all_0_10_10 = e1
% 13.24/3.66 |
% 13.24/3.66 | Equations (593) can reduce 76 to:
% 13.24/3.66 | (218) ~ (all_0_8_8 = e1)
% 13.24/3.66 |
% 13.24/3.66 | Equations (593) can reduce 55 to:
% 13.24/3.66 | (3359) ~ (all_0_11_11 = e1)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 3359 yields:
% 13.24/3.66 | (290) ~ (all_0_11_11 = e1)
% 13.24/3.66 |
% 13.24/3.66 | Equations (593) can reduce 9 to:
% 13.24/3.66 | (211) ~ (all_0_18_18 = e1)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 211 yields:
% 13.24/3.66 | (212) ~ (all_0_18_18 = e1)
% 13.24/3.66 |
% 13.24/3.66 | Equations (593) can reduce 163 to:
% 13.24/3.66 | (610) ~ (e3 = e1)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 610 yields:
% 13.24/3.66 | (85) ~ (e3 = e1)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (1506), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (310) all_0_15_15 = e3
% 13.24/3.66 |
% 13.24/3.66 | Equations (310) can reduce 39 to:
% 13.24/3.66 | (324) ~ (all_0_12_12 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (310) can reduce 20 to:
% 13.24/3.66 | (168) ~ (all_0_23_23 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 168 yields:
% 13.24/3.66 | (169) ~ (all_0_23_23 = e3)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (99), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (1477) all_0_11_11 = e0
% 13.24/3.66 |
% 13.24/3.66 | Equations (1477) can reduce 124 to:
% 13.24/3.66 | (198) ~ (all_0_23_23 = e0)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 198 yields:
% 13.24/3.66 | (199) ~ (all_0_23_23 = e0)
% 13.24/3.66 |
% 13.24/3.66 | Equations (1477) can reduce 290 to:
% 13.24/3.66 | (331) ~ (e1 = e0)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 331 yields:
% 13.24/3.66 | (80) ~ (e1 = e0)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (111), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (596) all_0_10_10 = e0
% 13.24/3.66 |
% 13.24/3.66 | Combining equations (596,593) yields a new equation:
% 13.24/3.66 | (359) e1 = e0
% 13.24/3.66 |
% 13.24/3.66 | Equations (359) can reduce 80 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (194) ~ (all_0_10_10 = e0)
% 13.24/3.66 | (834) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 13.24/3.66 |
% 13.24/3.66 | Equations (593) can reduce 194 to:
% 13.24/3.66 | (80) ~ (e1 = e0)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (237), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (268) all_0_23_23 = e2
% 13.24/3.66 |
% 13.24/3.66 | Equations (268) can reduce 146 to:
% 13.24/3.66 | (261) ~ (all_0_21_21 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Equations (268) can reduce 169 to:
% 13.24/3.66 | (411) ~ (e3 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 411 yields:
% 13.24/3.66 | (123) ~ (e3 = e2)
% 13.24/3.66 |
% 13.24/3.66 | From (268) and (44) follows:
% 13.24/3.66 | (3821) op(all_0_1_1, e2) = all_0_0_0
% 13.24/3.66 |
% 13.24/3.66 | From (268)(268) and (116) follows:
% 13.24/3.66 | (3822) op(e2, e2) = all_0_1_1
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (34), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (217) all_0_20_20 = e1
% 13.24/3.66 |
% 13.24/3.66 | Combining equations (217,577) yields a new equation:
% 13.24/3.66 | (508) e1 = e0
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 508 yields:
% 13.24/3.66 | (359) e1 = e0
% 13.24/3.66 |
% 13.24/3.66 | Equations (359) can reduce 80 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (492) ~ (all_0_20_20 = e1)
% 13.24/3.66 | (493) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (152), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (226) all_0_8_8 = e3
% 13.24/3.66 |
% 13.24/3.66 | Equations (226) can reduce 161 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (161) ~ (all_0_8_8 = e3)
% 13.24/3.66 | (233) all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (67), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (238) all_0_8_8 = e1
% 13.24/3.66 |
% 13.24/3.66 | Equations (238) can reduce 218 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (218) ~ (all_0_8_8 = e1)
% 13.24/3.66 | (599) all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (71), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (314) all_0_12_12 = e0
% 13.24/3.66 |
% 13.24/3.66 | Equations (314) can reduce 317 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (317) ~ (all_0_12_12 = e0)
% 13.24/3.66 | (318) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (23), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (374) all_0_8_8 = e2
% 13.24/3.66 |
% 13.24/3.66 | Equations (374) can reduce 105 to:
% 13.24/3.66 | (3842) ~ (all_0_12_12 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 3842 yields:
% 13.24/3.66 | (203) ~ (all_0_12_12 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Equations (374) can reduce 65 to:
% 13.24/3.66 | (178) ~ (all_0_16_16 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 178 yields:
% 13.24/3.66 | (179) ~ (all_0_16_16 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Equations (374) can reduce 161 to:
% 13.24/3.66 | (411) ~ (e3 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 411 yields:
% 13.24/3.66 | (123) ~ (e3 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Equations (374) can reduce 218 to:
% 13.24/3.66 | (96) ~ (e2 = e1)
% 13.24/3.66 |
% 13.24/3.66 | From (374) and (134) follows:
% 13.24/3.66 | (1874) op(all_0_5_5, e2) = all_0_4_4
% 13.24/3.66 |
% 13.24/3.66 | From (374)(374) and (144) follows:
% 13.24/3.66 | (1875) op(e2, e2) = all_0_5_5
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (137), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (292) all_0_16_16 = e3
% 13.24/3.66 |
% 13.24/3.66 | Equations (292) can reduce 37 to:
% 13.24/3.66 | (324) ~ (all_0_12_12 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (292) can reduce 89 to:
% 13.24/3.66 | (406) ~ (all_0_18_18 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 406 yields:
% 13.24/3.66 | (407) ~ (all_0_18_18 = e3)
% 13.24/3.66 |
% 13.24/3.66 | Equations (292) can reduce 179 to:
% 13.24/3.66 | (123) ~ (e3 = e2)
% 13.24/3.66 |
% 13.24/3.66 | Equations (292) can reduce 185 to:
% 13.24/3.66 | (85) ~ (e3 = e1)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (58), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (372) all_0_9_9 = e2
% 13.24/3.66 |
% 13.24/3.66 | Combining equations (372,202) yields a new equation:
% 13.24/3.66 | (259) e3 = e2
% 13.24/3.66 |
% 13.24/3.66 | Equations (259) can reduce 123 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (383) ~ (all_0_9_9 = e2)
% 13.24/3.66 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.66 |
% 13.24/3.66 | Equations (202) can reduce 383 to:
% 13.24/3.66 | (123) ~ (e3 = e2)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (318), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (326) all_0_13_13 = e0
% 13.24/3.66 |
% 13.24/3.66 | From (326) and (103) follows:
% 13.24/3.66 | (3864) op(e2, e2) = e0
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (13), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (393) all_0_9_9 = e1
% 13.24/3.66 |
% 13.24/3.66 | Combining equations (393,202) yields a new equation:
% 13.24/3.66 | (244) e3 = e1
% 13.24/3.66 |
% 13.24/3.66 | Equations (244) can reduce 85 to:
% 13.24/3.66 | (186) $false
% 13.24/3.66 |
% 13.24/3.66 |-The branch is then unsatisfiable
% 13.24/3.66 |-Branch two:
% 13.24/3.66 | (208) ~ (all_0_9_9 = e1)
% 13.24/3.66 | (1606) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1
% 13.24/3.66 |
% 13.24/3.66 | Equations (202) can reduce 208 to:
% 13.24/3.66 | (85) ~ (e3 = e1)
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (493), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (503) all_0_21_21 = e1
% 13.24/3.66 |
% 13.24/3.66 | From (503) and (70) follows:
% 13.24/3.66 | (3872) op(e0, e2) = e1
% 13.24/3.66 |
% 13.24/3.66 | Instantiating formula (35) with e2, e2, all_0_5_5, all_0_1_1 and discharging atoms op(e2, e2) = all_0_1_1, op(e2, e2) = all_0_5_5, yields:
% 13.24/3.66 | (3873) all_0_1_1 = all_0_5_5
% 13.24/3.66 |
% 13.24/3.66 | Instantiating formula (35) with e2, e2, e0, all_0_1_1 and discharging atoms op(e2, e2) = all_0_1_1, op(e2, e2) = e0, yields:
% 13.24/3.66 | (845) all_0_1_1 = e0
% 13.24/3.66 |
% 13.24/3.66 | Combining equations (3873,845) yields a new equation:
% 13.24/3.66 | (3875) all_0_5_5 = e0
% 13.24/3.66 |
% 13.24/3.66 | Simplifying 3875 yields:
% 13.24/3.66 | (3876) all_0_5_5 = e0
% 13.24/3.66 |
% 13.24/3.66 | From (845) and (3821) follows:
% 13.24/3.66 | (3877) op(e0, e2) = all_0_0_0
% 13.24/3.66 |
% 13.24/3.66 | From (3876) and (1874) follows:
% 13.24/3.66 | (3878) op(e0, e2) = all_0_4_4
% 13.24/3.66 |
% 13.24/3.66 +-Applying beta-rule and splitting (114), into two cases.
% 13.24/3.66 |-Branch one:
% 13.24/3.66 | (343) ~ (all_0_4_4 = e1)
% 13.24/3.66 |
% 13.24/3.66 | Instantiating formula (35) with e0, e2, all_0_0_0, e1 and discharging atoms op(e0, e2) = all_0_0_0, op(e0, e2) = e1, yields:
% 13.24/3.66 | (3453) all_0_0_0 = e1
% 13.24/3.66 |
% 13.24/3.66 | Instantiating formula (35) with e0, e2, all_0_4_4, all_0_0_0 and discharging atoms op(e0, e2) = all_0_0_0, op(e0, e2) = all_0_4_4, yields:
% 13.24/3.66 | (3881) all_0_0_0 = all_0_4_4
% 13.24/3.66 |
% 13.24/3.67 | Combining equations (3453,3881) yields a new equation:
% 13.24/3.67 | (344) all_0_4_4 = e1
% 13.24/3.67 |
% 13.24/3.67 | Equations (344) can reduce 343 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (344) all_0_4_4 = e1
% 13.24/3.67 | (3885) ~ (all_0_5_5 = e0) | ~ (all_0_8_8 = e2)
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (3885), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (3886) ~ (all_0_5_5 = e0)
% 13.24/3.67 |
% 13.24/3.67 | Equations (3876) can reduce 3886 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (3876) all_0_5_5 = e0
% 13.24/3.67 | (373) ~ (all_0_8_8 = e2)
% 13.24/3.67 |
% 13.24/3.67 | Equations (374) can reduce 373 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (216) ~ (all_0_21_21 = e1)
% 13.24/3.67 | (506) all_0_22_22 = e1 | all_0_23_23 = e1
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (506), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (507) all_0_22_22 = e1
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (485,507) yields a new equation:
% 13.24/3.67 | (243) e3 = e1
% 13.24/3.67 |
% 13.24/3.67 | Simplifying 243 yields:
% 13.24/3.67 | (244) e3 = e1
% 13.24/3.67 |
% 13.24/3.67 | Equations (244) can reduce 85 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (511) ~ (all_0_22_22 = e1)
% 13.24/3.67 | (362) all_0_23_23 = e1
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (362,268) yields a new equation:
% 13.24/3.67 | (253) e2 = e1
% 13.24/3.67 |
% 13.24/3.67 | Equations (253) can reduce 96 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (398) ~ (all_0_13_13 = e0)
% 13.24/3.67 | (399) all_0_14_14 = e0 | all_0_15_15 = e0
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (41), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (320) all_0_12_12 = e3
% 13.24/3.67 |
% 13.24/3.67 | Equations (320) can reduce 324 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (324) ~ (all_0_12_12 = e3)
% 13.24/3.67 | (1649) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (1649), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (172) all_0_12_12 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (172) can reduce 203 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (203) ~ (all_0_12_12 = e2)
% 13.24/3.67 | (2400) all_0_12_12 = e1 | all_0_12_12 = e0
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (2400), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (449) all_0_12_12 = e1
% 13.24/3.67 |
% 13.24/3.67 | Equations (449) can reduce 203 to:
% 13.24/3.67 | (224) ~ (e2 = e1)
% 13.24/3.67 |
% 13.24/3.67 | Simplifying 224 yields:
% 13.24/3.67 | (96) ~ (e2 = e1)
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (49), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (295) all_0_16_16 = e2
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (292,295) yields a new equation:
% 13.24/3.67 | (258) e3 = e2
% 13.24/3.67 |
% 13.24/3.67 | Simplifying 258 yields:
% 13.24/3.67 | (259) e3 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (259) can reduce 123 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (179) ~ (all_0_16_16 = e2)
% 13.24/3.67 | (300) all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (581), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (410) all_0_18_18 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (410) can reduce 443 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (443) ~ (all_0_18_18 = e2)
% 13.24/3.67 | (585) all_0_18_18 = e1 | all_0_18_18 = e0
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (585), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (586) all_0_18_18 = e1
% 13.24/3.67 |
% 13.24/3.67 | Equations (586) can reduce 212 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (212) ~ (all_0_18_18 = e1)
% 13.24/3.67 | (589) all_0_18_18 = e0
% 13.24/3.67 |
% 13.24/3.67 | Equations (589) can reduce 115 to:
% 13.24/3.67 | (680) ~ (all_0_17_17 = e0)
% 13.24/3.67 |
% 13.24/3.67 | Equations (589) can reduce 407 to:
% 13.24/3.67 | (793) ~ (e3 = e0)
% 13.24/3.67 |
% 13.24/3.67 | Simplifying 793 yields:
% 13.24/3.67 | (21) ~ (e3 = e0)
% 13.24/3.67 |
% 13.24/3.67 | Equations (589) can reduce 443 to:
% 13.24/3.67 | (285) ~ (e2 = e0)
% 13.24/3.67 |
% 13.24/3.67 | Simplifying 285 yields:
% 13.24/3.67 | (88) ~ (e2 = e0)
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (300), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (302) all_0_17_17 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (302) can reduce 680 to:
% 13.24/3.67 | (88) ~ (e2 = e0)
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (399), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (782) all_0_14_14 = e0
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (782,188) yields a new equation:
% 13.24/3.67 | (265) e2 = e0
% 13.24/3.67 |
% 13.24/3.67 | Equations (265) can reduce 88 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (786) ~ (all_0_14_14 = e0)
% 13.24/3.67 | (787) all_0_15_15 = e0
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (310,787) yields a new equation:
% 13.24/3.67 | (486) e3 = e0
% 13.24/3.67 |
% 13.24/3.67 | Simplifying 486 yields:
% 13.24/3.67 | (487) e3 = e0
% 13.24/3.67 |
% 13.24/3.67 | Equations (487) can reduce 21 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (306) ~ (all_0_17_17 = e2)
% 13.24/3.67 | (307) all_0_18_18 = e2 | all_0_19_19 = e2
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (307), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (410) all_0_18_18 = e2
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (589,410) yields a new equation:
% 13.24/3.67 | (265) e2 = e0
% 13.24/3.67 |
% 13.24/3.67 | Equations (265) can reduce 88 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (443) ~ (all_0_18_18 = e2)
% 13.24/3.67 | (276) all_0_19_19 = e2
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (280,276) yields a new equation:
% 13.24/3.67 | (253) e2 = e1
% 13.24/3.67 |
% 13.24/3.67 | Equations (253) can reduce 96 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (452) ~ (all_0_12_12 = e1)
% 13.24/3.67 | (314) all_0_12_12 = e0
% 13.24/3.67 |
% 13.24/3.67 | Equations (314) can reduce 317 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (468) ~ (all_0_16_16 = e3)
% 13.24/3.67 | (469) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (153), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (226) all_0_8_8 = e3
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (226,374) yields a new equation:
% 13.24/3.67 | (258) e3 = e2
% 13.24/3.67 |
% 13.24/3.67 | Simplifying 258 yields:
% 13.24/3.67 | (259) e3 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (259) can reduce 123 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (161) ~ (all_0_8_8 = e3)
% 13.24/3.67 | (229) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (581), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (410) all_0_18_18 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (410) can reduce 443 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (443) ~ (all_0_18_18 = e2)
% 13.24/3.67 | (585) all_0_18_18 = e1 | all_0_18_18 = e0
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (585), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (586) all_0_18_18 = e1
% 13.24/3.67 |
% 13.24/3.67 | Equations (586) can reduce 212 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (212) ~ (all_0_18_18 = e1)
% 13.24/3.67 | (589) all_0_18_18 = e0
% 13.24/3.67 |
% 13.24/3.67 | Equations (589) can reduce 407 to:
% 13.24/3.67 | (793) ~ (e3 = e0)
% 13.24/3.67 |
% 13.24/3.67 | Simplifying 793 yields:
% 13.24/3.67 | (21) ~ (e3 = e0)
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (229), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (320) all_0_12_12 = e3
% 13.24/3.67 |
% 13.24/3.67 | Equations (320) can reduce 324 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (324) ~ (all_0_12_12 = e3)
% 13.24/3.67 | (1684) all_0_16_16 = e3 | all_0_20_20 = e3
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (1684), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (292) all_0_16_16 = e3
% 13.24/3.67 |
% 13.24/3.67 | Equations (292) can reduce 468 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (468) ~ (all_0_16_16 = e3)
% 13.24/3.67 | (242) all_0_20_20 = e3
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (242,577) yields a new equation:
% 13.24/3.67 | (486) e3 = e0
% 13.24/3.67 |
% 13.24/3.67 | Simplifying 486 yields:
% 13.24/3.67 | (487) e3 = e0
% 13.24/3.67 |
% 13.24/3.67 | Equations (487) can reduce 21 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (373) ~ (all_0_8_8 = e2)
% 13.24/3.67 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (742), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (372) all_0_9_9 = e2
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (372,202) yields a new equation:
% 13.24/3.67 | (259) e3 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (259) can reduce 123 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (383) ~ (all_0_9_9 = e2)
% 13.24/3.67 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (202) can reduce 383 to:
% 13.24/3.67 | (123) ~ (e3 = e2)
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (581), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (410) all_0_18_18 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (410) can reduce 443 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (443) ~ (all_0_18_18 = e2)
% 13.24/3.67 | (585) all_0_18_18 = e1 | all_0_18_18 = e0
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (585), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (586) all_0_18_18 = e1
% 13.24/3.67 |
% 13.24/3.67 | Equations (586) can reduce 212 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (212) ~ (all_0_18_18 = e1)
% 13.24/3.67 | (589) all_0_18_18 = e0
% 13.24/3.67 |
% 13.24/3.67 | Equations (589) can reduce 115 to:
% 13.24/3.67 | (680) ~ (all_0_17_17 = e0)
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (58), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (372) all_0_9_9 = e2
% 13.24/3.67 |
% 13.24/3.67 | Combining equations (372,202) yields a new equation:
% 13.24/3.67 | (259) e3 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (259) can reduce 123 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (383) ~ (all_0_9_9 = e2)
% 13.24/3.67 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (384), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (421) all_0_13_13 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (421) can reduce 175 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.24/3.67 | (175) ~ (all_0_13_13 = e2)
% 13.24/3.67 | (435) all_0_17_17 = e2 | all_0_21_21 = e2
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (435), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (302) all_0_17_17 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (302) can reduce 92 to:
% 13.24/3.67 | (179) ~ (all_0_16_16 = e2)
% 13.24/3.67 |
% 13.24/3.67 | Equations (302) can reduce 680 to:
% 13.24/3.67 | (88) ~ (e2 = e0)
% 13.24/3.67 |
% 13.24/3.67 +-Applying beta-rule and splitting (233), into two cases.
% 13.24/3.67 |-Branch one:
% 13.24/3.67 | (374) all_0_8_8 = e2
% 13.24/3.67 |
% 13.24/3.67 | Equations (374) can reduce 373 to:
% 13.24/3.67 | (186) $false
% 13.24/3.67 |
% 13.24/3.67 |-The branch is then unsatisfiable
% 13.24/3.67 |-Branch two:
% 13.48/3.67 | (373) ~ (all_0_8_8 = e2)
% 13.48/3.67 | (377) all_0_8_8 = e1 | all_0_8_8 = e0
% 13.48/3.67 |
% 13.48/3.67 +-Applying beta-rule and splitting (40), into two cases.
% 13.48/3.67 |-Branch one:
% 13.48/3.67 | (374) all_0_8_8 = e2
% 13.48/3.67 |
% 13.48/3.67 | Equations (374) can reduce 373 to:
% 13.48/3.67 | (186) $false
% 13.48/3.67 |
% 13.48/3.67 |-The branch is then unsatisfiable
% 13.48/3.67 |-Branch two:
% 13.48/3.67 | (373) ~ (all_0_8_8 = e2)
% 13.48/3.67 | (1446) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2
% 13.48/3.67 |
% 13.48/3.67 +-Applying beta-rule and splitting (1446), into two cases.
% 13.48/3.67 |-Branch one:
% 13.48/3.67 | (172) all_0_12_12 = e2
% 13.48/3.67 |
% 13.48/3.67 | Equations (172) can reduce 203 to:
% 13.48/3.67 | (186) $false
% 13.48/3.67 |
% 13.48/3.67 |-The branch is then unsatisfiable
% 13.48/3.67 |-Branch two:
% 13.48/3.67 | (203) ~ (all_0_12_12 = e2)
% 13.48/3.67 | (1625) all_0_16_16 = e2 | all_0_20_20 = e2
% 13.48/3.67 |
% 13.48/3.67 +-Applying beta-rule and splitting (1625), into two cases.
% 13.48/3.67 |-Branch one:
% 13.48/3.67 | (295) all_0_16_16 = e2
% 13.48/3.67 |
% 13.48/3.67 | Equations (295) can reduce 179 to:
% 13.48/3.67 | (186) $false
% 13.48/3.67 |
% 13.48/3.67 |-The branch is then unsatisfiable
% 13.48/3.67 |-Branch two:
% 13.48/3.67 | (179) ~ (all_0_16_16 = e2)
% 13.48/3.67 | (252) all_0_20_20 = e2
% 13.48/3.67 |
% 13.48/3.67 | Combining equations (252,577) yields a new equation:
% 13.48/3.67 | (264) e2 = e0
% 13.48/3.67 |
% 13.48/3.67 | Simplifying 264 yields:
% 13.48/3.67 | (265) e2 = e0
% 13.48/3.67 |
% 13.48/3.67 | Equations (265) can reduce 88 to:
% 13.48/3.67 | (186) $false
% 13.48/3.67 |
% 13.48/3.67 |-The branch is then unsatisfiable
% 13.48/3.67 |-Branch two:
% 13.48/3.67 | (306) ~ (all_0_17_17 = e2)
% 13.48/3.67 | (257) all_0_21_21 = e2
% 13.48/3.67 |
% 13.48/3.67 | Equations (257) can reduce 261 to:
% 13.48/3.67 | (186) $false
% 13.48/3.67 |
% 13.48/3.67 |-The branch is then unsatisfiable
% 13.48/3.67 |-Branch two:
% 13.48/3.67 | (732) ~ (all_0_23_23 = e2)
% 13.48/3.67 | (750) all_0_23_23 = e1 | all_0_23_23 = e0
% 13.48/3.67 |
% 13.48/3.67 +-Applying beta-rule and splitting (750), into two cases.
% 13.48/3.67 |-Branch one:
% 13.48/3.67 | (362) all_0_23_23 = e1
% 13.48/3.67 |
% 13.48/3.67 | Equations (362) can reduce 223 to:
% 13.48/3.67 | (186) $false
% 13.48/3.67 |
% 13.48/3.67 |-The branch is then unsatisfiable
% 13.48/3.67 |-Branch two:
% 13.48/3.67 | (223) ~ (all_0_23_23 = e1)
% 13.48/3.68 | (890) all_0_23_23 = e0
% 13.48/3.68 |
% 13.48/3.68 | Equations (890) can reduce 199 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (1430) ~ (all_0_11_11 = e0)
% 13.48/3.68 | (1480) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (1480), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (787) all_0_15_15 = e0
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (310,787) yields a new equation:
% 13.48/3.68 | (486) e3 = e0
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 486 yields:
% 13.48/3.68 | (487) e3 = e0
% 13.48/3.68 |
% 13.48/3.68 | Equations (487) can reduce 21 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (1162) ~ (all_0_15_15 = e0)
% 13.48/3.68 | (1486) all_0_19_19 = e0 | all_0_23_23 = e0
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (1486), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (283) all_0_19_19 = e0
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (283,280) yields a new equation:
% 13.48/3.68 | (359) e1 = e0
% 13.48/3.68 |
% 13.48/3.68 | Equations (359) can reduce 80 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (790) ~ (all_0_19_19 = e0)
% 13.48/3.68 | (890) all_0_23_23 = e0
% 13.48/3.68 |
% 13.48/3.68 | Equations (890) can reduce 199 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (165) ~ (all_0_15_15 = e3)
% 13.48/3.68 | (1511) all_0_19_19 = e3 | all_0_23_23 = e3
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (237), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (268) all_0_23_23 = e2
% 13.48/3.68 |
% 13.48/3.68 | Equations (268) can reduce 169 to:
% 13.48/3.68 | (411) ~ (e3 = e2)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 411 yields:
% 13.48/3.68 | (123) ~ (e3 = e2)
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (1511), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (272) all_0_19_19 = e3
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (280,272) yields a new equation:
% 13.48/3.68 | (244) e3 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (244) can reduce 85 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (167) ~ (all_0_19_19 = e3)
% 13.48/3.68 | (234) all_0_23_23 = e3
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (234,268) yields a new equation:
% 13.48/3.68 | (258) e3 = e2
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 258 yields:
% 13.48/3.68 | (259) e3 = e2
% 13.48/3.68 |
% 13.48/3.68 | Equations (259) can reduce 123 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (732) ~ (all_0_23_23 = e2)
% 13.48/3.68 | (750) all_0_23_23 = e1 | all_0_23_23 = e0
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (750), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (362) all_0_23_23 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (362) can reduce 223 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (223) ~ (all_0_23_23 = e1)
% 13.48/3.68 | (890) all_0_23_23 = e0
% 13.48/3.68 |
% 13.48/3.68 | Equations (890) can reduce 199 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (501) ~ (all_0_10_10 = e1)
% 13.48/3.68 | (1036) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (34), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (217) all_0_20_20 = e1
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (217,577) yields a new equation:
% 13.48/3.68 | (508) e1 = e0
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 508 yields:
% 13.48/3.68 | (359) e1 = e0
% 13.48/3.68 |
% 13.48/3.68 | Equations (359) can reduce 80 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (492) ~ (all_0_20_20 = e1)
% 13.48/3.68 | (493) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (1036), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (458) all_0_14_14 = e1
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (188,458) yields a new equation:
% 13.48/3.68 | (303) e2 = e1
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 303 yields:
% 13.48/3.68 | (253) e2 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (253) can reduce 96 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (462) ~ (all_0_14_14 = e1)
% 13.48/3.68 | (1733) all_0_18_18 = e1 | all_0_22_22 = e1
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (493), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (503) all_0_21_21 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (503) can reduce 483 to:
% 13.48/3.68 | (610) ~ (e3 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 610 yields:
% 13.48/3.68 | (85) ~ (e3 = e1)
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (1733), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (586) all_0_18_18 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (586) can reduce 212 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (212) ~ (all_0_18_18 = e1)
% 13.48/3.68 | (507) all_0_22_22 = e1
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (485,507) yields a new equation:
% 13.48/3.68 | (243) e3 = e1
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 243 yields:
% 13.48/3.68 | (244) e3 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (244) can reduce 85 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (216) ~ (all_0_21_21 = e1)
% 13.48/3.68 | (506) all_0_22_22 = e1 | all_0_23_23 = e1
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (506), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (507) all_0_22_22 = e1
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (507,485) yields a new equation:
% 13.48/3.68 | (244) e3 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (244) can reduce 85 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (511) ~ (all_0_22_22 = e1)
% 13.48/3.68 | (362) all_0_23_23 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (362) can reduce 223 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (489) ~ (all_0_22_22 = e3)
% 13.48/3.68 | (1078) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (43), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (184) all_0_10_10 = e3
% 13.48/3.68 |
% 13.48/3.68 | Equations (184) can reduce 163 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (163) ~ (all_0_10_10 = e3)
% 13.48/3.68 | (1082) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (1078), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (263) all_0_22_22 = e2
% 13.48/3.68 |
% 13.48/3.68 | Equations (263) can reduce 267 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (267) ~ (all_0_22_22 = e2)
% 13.48/3.68 | (1086) all_0_22_22 = e1 | all_0_22_22 = e0
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (1086), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (507) all_0_22_22 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (507) can reduce 27 to:
% 13.48/3.68 | (501) ~ (all_0_10_10 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Equations (507) can reduce 91 to:
% 13.48/3.68 | (212) ~ (all_0_18_18 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Equations (507) can reduce 489 to:
% 13.48/3.68 | (610) ~ (e3 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 610 yields:
% 13.48/3.68 | (85) ~ (e3 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Equations (507) can reduce 267 to:
% 13.48/3.68 | (224) ~ (e2 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 224 yields:
% 13.48/3.68 | (96) ~ (e2 = e1)
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (154), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (238) all_0_8_8 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (238) can reduce 101 to:
% 13.48/3.68 | (3359) ~ (all_0_11_11 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 3359 yields:
% 13.48/3.68 | (290) ~ (all_0_11_11 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Equations (238) can reduce 105 to:
% 13.48/3.68 | (4128) ~ (all_0_12_12 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 4128 yields:
% 13.48/3.68 | (452) ~ (all_0_12_12 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Equations (238) can reduce 65 to:
% 13.48/3.68 | (2136) ~ (all_0_16_16 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 2136 yields:
% 13.48/3.68 | (185) ~ (all_0_16_16 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Equations (238) can reduce 161 to:
% 13.48/3.68 | (610) ~ (e3 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 610 yields:
% 13.48/3.68 | (85) ~ (e3 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Equations (238) can reduce 354 to:
% 13.48/3.68 | (80) ~ (e1 = e0)
% 13.48/3.68 |
% 13.48/3.68 | From (238) and (134) follows:
% 13.48/3.68 | (2865) op(all_0_5_5, e1) = all_0_4_4
% 13.48/3.68 |
% 13.48/3.68 | From (238)(238) and (144) follows:
% 13.48/3.68 | (2866) op(e1, e1) = all_0_5_5
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (1082), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (404) all_0_14_14 = e3
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (188,404) yields a new equation:
% 13.48/3.68 | (259) e3 = e2
% 13.48/3.68 |
% 13.48/3.68 | Equations (259) can reduce 123 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (465) ~ (all_0_14_14 = e3)
% 13.48/3.68 | (1101) all_0_18_18 = e3 | all_0_22_22 = e3
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (1101), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (527) all_0_18_18 = e3
% 13.48/3.68 |
% 13.48/3.68 | Equations (527) can reduce 89 to:
% 13.48/3.68 | (468) ~ (all_0_16_16 = e3)
% 13.48/3.68 |
% 13.48/3.68 | Equations (527) can reduce 115 to:
% 13.48/3.68 | (573) ~ (all_0_17_17 = e3)
% 13.48/3.68 |
% 13.48/3.68 | From (527) and (30) follows:
% 13.48/3.68 | (4145) op(e1, e1) = e3
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (137), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (292) all_0_16_16 = e3
% 13.48/3.68 |
% 13.48/3.68 | Equations (292) can reduce 468 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (468) ~ (all_0_16_16 = e3)
% 13.48/3.68 | (469) all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (63), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (242) all_0_20_20 = e3
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (577,242) yields a new equation:
% 13.48/3.68 | (487) e3 = e0
% 13.48/3.68 |
% 13.48/3.68 | Equations (487) can reduce 21 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (246) ~ (all_0_20_20 = e3)
% 13.48/3.68 | (247) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (23), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (374) all_0_8_8 = e2
% 13.48/3.68 |
% 13.48/3.68 | Combining equations (374,238) yields a new equation:
% 13.48/3.68 | (303) e2 = e1
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 303 yields:
% 13.48/3.68 | (253) e2 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (253) can reduce 96 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (373) ~ (all_0_8_8 = e2)
% 13.48/3.68 | (742) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (61), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (449) all_0_12_12 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (449) can reduce 452 to:
% 13.48/3.68 | (186) $false
% 13.48/3.68 |
% 13.48/3.68 |-The branch is then unsatisfiable
% 13.48/3.68 |-Branch two:
% 13.48/3.68 | (452) ~ (all_0_12_12 = e1)
% 13.48/3.68 | (453) all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (41), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (320) all_0_12_12 = e3
% 13.48/3.68 |
% 13.48/3.68 | Equations (320) can reduce 18 to:
% 13.48/3.68 | (1402) ~ (all_0_13_13 = e3)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 1402 yields:
% 13.48/3.68 | (250) ~ (all_0_13_13 = e3)
% 13.48/3.68 |
% 13.48/3.68 | Equations (320) can reduce 37 to:
% 13.48/3.68 | (2126) ~ (all_0_16_16 = e3)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 2126 yields:
% 13.48/3.68 | (468) ~ (all_0_16_16 = e3)
% 13.48/3.68 |
% 13.48/3.68 | Equations (320) can reduce 203 to:
% 13.48/3.68 | (123) ~ (e3 = e2)
% 13.48/3.68 |
% 13.48/3.68 +-Applying beta-rule and splitting (453), into two cases.
% 13.48/3.68 |-Branch one:
% 13.48/3.68 | (425) all_0_13_13 = e1
% 13.48/3.68 |
% 13.48/3.68 | Equations (425) can reduce 60 to:
% 13.48/3.68 | (3353) ~ (all_0_15_15 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Simplifying 3353 yields:
% 13.48/3.68 | (356) ~ (all_0_15_15 = e1)
% 13.48/3.68 |
% 13.48/3.68 | Equations (425) can reduce 48 to:
% 13.48/3.68 | (660) ~ (all_0_17_17 = e1)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 660 yields:
% 13.48/3.69 | (189) ~ (all_0_17_17 = e1)
% 13.48/3.69 |
% 13.48/3.69 | Equations (425) can reduce 250 to:
% 13.48/3.69 | (610) ~ (e3 = e1)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 610 yields:
% 13.48/3.69 | (85) ~ (e3 = e1)
% 13.48/3.69 |
% 13.48/3.69 | From (425) and (130) follows:
% 13.48/3.69 | (821) op(all_0_7_7, e1) = all_0_6_6
% 13.48/3.69 |
% 13.48/3.69 | From (425)(425) and (56) follows:
% 13.48/3.69 | (822) op(e1, e1) = all_0_7_7
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (247), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (248) all_0_21_21 = e3
% 13.48/3.69 |
% 13.48/3.69 | Equations (248) can reduce 483 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (483) ~ (all_0_21_21 = e3)
% 13.48/3.69 | (484) all_0_22_22 = e3 | all_0_23_23 = e3
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (484), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (485) all_0_22_22 = e3
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (485,507) yields a new equation:
% 13.48/3.69 | (243) e3 = e1
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 243 yields:
% 13.48/3.69 | (244) e3 = e1
% 13.48/3.69 |
% 13.48/3.69 | Equations (244) can reduce 85 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (489) ~ (all_0_22_22 = e3)
% 13.48/3.69 | (234) all_0_23_23 = e3
% 13.48/3.69 |
% 13.48/3.69 | Equations (234) can reduce 20 to:
% 13.48/3.69 | (165) ~ (all_0_15_15 = e3)
% 13.48/3.69 |
% 13.48/3.69 | Equations (234) can reduce 199 to:
% 13.48/3.69 | (21) ~ (e3 = e0)
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (469), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (295) all_0_16_16 = e2
% 13.48/3.69 |
% 13.48/3.69 | Equations (295) can reduce 92 to:
% 13.48/3.69 | (765) ~ (all_0_17_17 = e2)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 765 yields:
% 13.48/3.69 | (306) ~ (all_0_17_17 = e2)
% 13.48/3.69 |
% 13.48/3.69 | Equations (295) can reduce 468 to:
% 13.48/3.69 | (411) ~ (e3 = e2)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 411 yields:
% 13.48/3.69 | (123) ~ (e3 = e2)
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (107), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (570) all_0_17_17 = e3
% 13.48/3.69 |
% 13.48/3.69 | Equations (570) can reduce 573 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (573) ~ (all_0_17_17 = e3)
% 13.48/3.69 | (919) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (919), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (302) all_0_17_17 = e2
% 13.48/3.69 |
% 13.48/3.69 | Equations (302) can reduce 306 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (306) ~ (all_0_17_17 = e2)
% 13.48/3.69 | (923) all_0_17_17 = e1 | all_0_17_17 = e0
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (923), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (206) all_0_17_17 = e1
% 13.48/3.69 |
% 13.48/3.69 | Equations (206) can reduce 189 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (189) ~ (all_0_17_17 = e1)
% 13.48/3.69 | (823) all_0_17_17 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (823) can reduce 573 to:
% 13.48/3.69 | (793) ~ (e3 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 793 yields:
% 13.48/3.69 | (21) ~ (e3 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Equations (823) can reduce 306 to:
% 13.48/3.69 | (285) ~ (e2 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 285 yields:
% 13.48/3.69 | (88) ~ (e2 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Equations (823) can reduce 189 to:
% 13.48/3.69 | (331) ~ (e1 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 331 yields:
% 13.48/3.69 | (80) ~ (e1 = e0)
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (58), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (372) all_0_9_9 = e2
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (372,202) yields a new equation:
% 13.48/3.69 | (259) e3 = e2
% 13.48/3.69 |
% 13.48/3.69 | Equations (259) can reduce 123 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (383) ~ (all_0_9_9 = e2)
% 13.48/3.69 | (384) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2
% 13.48/3.69 |
% 13.48/3.69 | Equations (202) can reduce 383 to:
% 13.48/3.69 | (123) ~ (e3 = e2)
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (742), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (372) all_0_9_9 = e2
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (372,202) yields a new equation:
% 13.48/3.69 | (259) e3 = e2
% 13.48/3.69 |
% 13.48/3.69 | Equations (259) can reduce 123 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (383) ~ (all_0_9_9 = e2)
% 13.48/3.69 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (930), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (523) all_0_10_10 = e2
% 13.48/3.69 |
% 13.48/3.69 | Equations (523) can reduce 591 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (591) ~ (all_0_10_10 = e2)
% 13.48/3.69 | (961) all_0_11_11 = e2
% 13.48/3.69 |
% 13.48/3.69 | Equations (961) can reduce 6 to:
% 13.48/3.69 | (696) ~ (all_0_15_15 = e2)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 696 yields:
% 13.48/3.69 | (653) ~ (all_0_15_15 = e2)
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (71), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (314) all_0_12_12 = e0
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (314,320) yields a new equation:
% 13.48/3.69 | (487) e3 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (487) can reduce 21 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (317) ~ (all_0_12_12 = e0)
% 13.48/3.69 | (318) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (320) can reduce 317 to:
% 13.48/3.69 | (21) ~ (e3 = e0)
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (99), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (1477) all_0_11_11 = e0
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (1477,961) yields a new equation:
% 13.48/3.69 | (265) e2 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (265) can reduce 88 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (1430) ~ (all_0_11_11 = e0)
% 13.48/3.69 | (1480) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (111), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (596) all_0_10_10 = e0
% 13.48/3.69 |
% 13.48/3.69 | From (596) and (75) follows:
% 13.48/3.69 | (4244) op(e3, e1) = e0
% 13.48/3.69 |
% 13.48/3.69 | Instantiating formula (35) with e1, e1, all_0_7_7, all_0_5_5 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = all_0_7_7, yields:
% 13.48/3.69 | (337) all_0_5_5 = all_0_7_7
% 13.48/3.69 |
% 13.48/3.69 | Instantiating formula (35) with e1, e1, e3, all_0_5_5 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = e3, yields:
% 13.48/3.69 | (1547) all_0_5_5 = e3
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (337,1547) yields a new equation:
% 13.48/3.69 | (1548) all_0_7_7 = e3
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 1548 yields:
% 13.48/3.69 | (1549) all_0_7_7 = e3
% 13.48/3.69 |
% 13.48/3.69 | From (1547) and (2865) follows:
% 13.48/3.69 | (4249) op(e3, e1) = all_0_4_4
% 13.48/3.69 |
% 13.48/3.69 | From (1549) and (821) follows:
% 13.48/3.69 | (4250) op(e3, e1) = all_0_6_6
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (28), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (556) ~ (all_0_6_6 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Instantiating formula (35) with e3, e1, all_0_4_4, e0 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = e0, yields:
% 13.48/3.69 | (1885) all_0_4_4 = e0
% 13.48/3.69 |
% 13.48/3.69 | Instantiating formula (35) with e3, e1, all_0_6_6, all_0_4_4 and discharging atoms op(e3, e1) = all_0_4_4, op(e3, e1) = all_0_6_6, yields:
% 13.48/3.69 | (345) all_0_4_4 = all_0_6_6
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (1885,345) yields a new equation:
% 13.48/3.69 | (559) all_0_6_6 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (559) can reduce 556 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (559) all_0_6_6 = e0
% 13.48/3.69 | (4257) ~ (all_0_7_7 = e3) | ~ (all_0_13_13 = e1)
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (4257), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (1559) ~ (all_0_7_7 = e3)
% 13.48/3.69 |
% 13.48/3.69 | Equations (1549) can reduce 1559 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (1549) all_0_7_7 = e3
% 13.48/3.69 | (209) ~ (all_0_13_13 = e1)
% 13.48/3.69 |
% 13.48/3.69 | Equations (425) can reduce 209 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (194) ~ (all_0_10_10 = e0)
% 13.48/3.69 | (834) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (1480), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (787) all_0_15_15 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (787) can reduce 165 to:
% 13.48/3.69 | (793) ~ (e3 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 793 yields:
% 13.48/3.69 | (21) ~ (e3 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Equations (787) can reduce 653 to:
% 13.48/3.69 | (285) ~ (e2 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 285 yields:
% 13.48/3.69 | (88) ~ (e2 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Equations (787) can reduce 356 to:
% 13.48/3.69 | (331) ~ (e1 = e0)
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 331 yields:
% 13.48/3.69 | (80) ~ (e1 = e0)
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (834), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (782) all_0_14_14 = e0
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (188,782) yields a new equation:
% 13.48/3.69 | (264) e2 = e0
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 264 yields:
% 13.48/3.69 | (265) e2 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (265) can reduce 88 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (786) ~ (all_0_14_14 = e0)
% 13.48/3.69 | (840) all_0_18_18 = e0 | all_0_22_22 = e0
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (840), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (589) all_0_18_18 = e0
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (527,589) yields a new equation:
% 13.48/3.69 | (486) e3 = e0
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 486 yields:
% 13.48/3.69 | (487) e3 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (487) can reduce 21 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (195) ~ (all_0_18_18 = e0)
% 13.48/3.69 | (192) all_0_22_22 = e0
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (507,192) yields a new equation:
% 13.48/3.69 | (508) e1 = e0
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 508 yields:
% 13.48/3.69 | (359) e1 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (359) can reduce 80 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (1162) ~ (all_0_15_15 = e0)
% 13.48/3.69 | (1486) all_0_19_19 = e0 | all_0_23_23 = e0
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (1486), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (283) all_0_19_19 = e0
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (280,283) yields a new equation:
% 13.48/3.69 | (508) e1 = e0
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 508 yields:
% 13.48/3.69 | (359) e1 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (359) can reduce 80 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (790) ~ (all_0_19_19 = e0)
% 13.48/3.69 | (890) all_0_23_23 = e0
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (234,890) yields a new equation:
% 13.48/3.69 | (486) e3 = e0
% 13.48/3.69 |
% 13.48/3.69 | Simplifying 486 yields:
% 13.48/3.69 | (487) e3 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (487) can reduce 21 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (179) ~ (all_0_16_16 = e2)
% 13.48/3.69 | (477) all_0_16_16 = e1 | all_0_16_16 = e0
% 13.48/3.69 |
% 13.48/3.69 +-Applying beta-rule and splitting (66), into two cases.
% 13.48/3.69 |-Branch one:
% 13.48/3.69 | (368) all_0_9_9 = e0
% 13.48/3.69 |
% 13.48/3.69 | Combining equations (368,202) yields a new equation:
% 13.48/3.69 | (487) e3 = e0
% 13.48/3.69 |
% 13.48/3.69 | Equations (487) can reduce 21 to:
% 13.48/3.69 | (186) $false
% 13.48/3.69 |
% 13.48/3.69 |-The branch is then unsatisfiable
% 13.48/3.69 |-Branch two:
% 13.48/3.69 | (327) ~ (all_0_9_9 = e0)
% 13.48/3.69 | (2038) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (2038), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (326) all_0_13_13 = e0
% 13.48/3.70 |
% 13.48/3.70 | Combining equations (326,425) yields a new equation:
% 13.48/3.70 | (359) e1 = e0
% 13.48/3.70 |
% 13.48/3.70 | Equations (359) can reduce 80 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (398) ~ (all_0_13_13 = e0)
% 13.48/3.70 | (2042) all_0_17_17 = e0 | all_0_21_21 = e0
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (2042), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (823) all_0_17_17 = e0
% 13.48/3.70 |
% 13.48/3.70 | Equations (823) can reduce 92 to:
% 13.48/3.70 | (284) ~ (all_0_16_16 = e0)
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (477), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (478) all_0_16_16 = e1
% 13.48/3.70 |
% 13.48/3.70 | Equations (478) can reduce 185 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (185) ~ (all_0_16_16 = e1)
% 13.48/3.70 | (481) all_0_16_16 = e0
% 13.48/3.70 |
% 13.48/3.70 | Equations (481) can reduce 284 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (680) ~ (all_0_17_17 = e0)
% 13.48/3.70 | (652) all_0_21_21 = e0
% 13.48/3.70 |
% 13.48/3.70 | Equations (652) can reduce 197 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (209) ~ (all_0_13_13 = e1)
% 13.48/3.70 | (457) all_0_14_14 = e1 | all_0_15_15 = e1
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (742), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (372) all_0_9_9 = e2
% 13.48/3.70 |
% 13.48/3.70 | Combining equations (372,202) yields a new equation:
% 13.48/3.70 | (259) e3 = e2
% 13.48/3.70 |
% 13.48/3.70 | Equations (259) can reduce 123 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (383) ~ (all_0_9_9 = e2)
% 13.48/3.70 | (930) all_0_10_10 = e2 | all_0_11_11 = e2
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (930), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (523) all_0_10_10 = e2
% 13.48/3.70 |
% 13.48/3.70 | Equations (523) can reduce 591 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (591) ~ (all_0_10_10 = e2)
% 13.48/3.70 | (961) all_0_11_11 = e2
% 13.48/3.70 |
% 13.48/3.70 | Equations (961) can reduce 290 to:
% 13.48/3.70 | (96) ~ (e2 = e1)
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (457), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (458) all_0_14_14 = e1
% 13.48/3.70 |
% 13.48/3.70 | Combining equations (188,458) yields a new equation:
% 13.48/3.70 | (303) e2 = e1
% 13.48/3.70 |
% 13.48/3.70 | Simplifying 303 yields:
% 13.48/3.70 | (253) e2 = e1
% 13.48/3.70 |
% 13.48/3.70 | Equations (253) can reduce 96 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (462) ~ (all_0_14_14 = e1)
% 13.48/3.70 | (335) all_0_15_15 = e1
% 13.48/3.70 |
% 13.48/3.70 | Equations (335) can reduce 356 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (324) ~ (all_0_12_12 = e3)
% 13.48/3.70 | (1649) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (1649), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (172) all_0_12_12 = e2
% 13.48/3.70 |
% 13.48/3.70 | Equations (172) can reduce 203 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (203) ~ (all_0_12_12 = e2)
% 13.48/3.70 | (2400) all_0_12_12 = e1 | all_0_12_12 = e0
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (2400), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (449) all_0_12_12 = e1
% 13.48/3.70 |
% 13.48/3.70 | Equations (449) can reduce 452 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (452) ~ (all_0_12_12 = e1)
% 13.48/3.70 | (314) all_0_12_12 = e0
% 13.48/3.70 |
% 13.48/3.70 | Equations (314) can reduce 317 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (407) ~ (all_0_18_18 = e3)
% 13.48/3.70 | (485) all_0_22_22 = e3
% 13.48/3.70 |
% 13.48/3.70 | Combining equations (485,507) yields a new equation:
% 13.48/3.70 | (243) e3 = e1
% 13.48/3.70 |
% 13.48/3.70 | Simplifying 243 yields:
% 13.48/3.70 | (244) e3 = e1
% 13.48/3.70 |
% 13.48/3.70 | Equations (244) can reduce 85 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (218) ~ (all_0_8_8 = e1)
% 13.48/3.70 | (241) all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (1082), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (404) all_0_14_14 = e3
% 13.48/3.70 |
% 13.48/3.70 | Combining equations (404,188) yields a new equation:
% 13.48/3.70 | (258) e3 = e2
% 13.48/3.70 |
% 13.48/3.70 | Simplifying 258 yields:
% 13.48/3.70 | (259) e3 = e2
% 13.48/3.70 |
% 13.48/3.70 | Equations (259) can reduce 123 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (465) ~ (all_0_14_14 = e3)
% 13.48/3.70 | (1101) all_0_18_18 = e3 | all_0_22_22 = e3
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (1101), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (527) all_0_18_18 = e3
% 13.48/3.70 |
% 13.48/3.70 | Equations (527) can reduce 212 to:
% 13.48/3.70 | (85) ~ (e3 = e1)
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (241), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (393) all_0_9_9 = e1
% 13.48/3.70 |
% 13.48/3.70 | Combining equations (393,202) yields a new equation:
% 13.48/3.70 | (244) e3 = e1
% 13.48/3.70 |
% 13.48/3.70 | Equations (244) can reduce 85 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (208) ~ (all_0_9_9 = e1)
% 13.48/3.70 | (1070) all_0_10_10 = e1 | all_0_11_11 = e1
% 13.48/3.70 |
% 13.48/3.70 +-Applying beta-rule and splitting (1070), into two cases.
% 13.48/3.70 |-Branch one:
% 13.48/3.70 | (593) all_0_10_10 = e1
% 13.48/3.70 |
% 13.48/3.70 | Equations (593) can reduce 501 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (501) ~ (all_0_10_10 = e1)
% 13.48/3.70 | (287) all_0_11_11 = e1
% 13.48/3.70 |
% 13.48/3.70 | Equations (287) can reduce 290 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (407) ~ (all_0_18_18 = e3)
% 13.48/3.70 | (485) all_0_22_22 = e3
% 13.48/3.70 |
% 13.48/3.70 | Combining equations (485,507) yields a new equation:
% 13.48/3.70 | (243) e3 = e1
% 13.48/3.70 |
% 13.48/3.70 | Simplifying 243 yields:
% 13.48/3.70 | (244) e3 = e1
% 13.48/3.70 |
% 13.48/3.70 | Equations (244) can reduce 85 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (511) ~ (all_0_22_22 = e1)
% 13.48/3.70 | (192) all_0_22_22 = e0
% 13.48/3.70 |
% 13.48/3.70 | Equations (192) can reduce 683 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (205) all_0_17_17 = e1 & ~ (all_0_14_14 = e2)
% 13.48/3.70 |
% 13.48/3.70 | Applying alpha-rule on (205) yields:
% 13.48/3.70 | (206) all_0_17_17 = e1
% 13.48/3.70 | (177) ~ (all_0_14_14 = e2)
% 13.48/3.70 |
% 13.48/3.70 | Equations (206) can reduce 189 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (651) all_0_21_21 = e0 & ~ (all_0_15_15 = e2)
% 13.48/3.70 |
% 13.48/3.70 | Applying alpha-rule on (651) yields:
% 13.48/3.70 | (652) all_0_21_21 = e0
% 13.48/3.70 | (653) ~ (all_0_15_15 = e2)
% 13.48/3.70 |
% 13.48/3.70 | Equations (652) can reduce 197 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 |-Branch two:
% 13.48/3.70 | (191) all_0_22_22 = e0 & ~ (all_0_19_19 = e1)
% 13.48/3.70 |
% 13.48/3.70 | Applying alpha-rule on (191) yields:
% 13.48/3.70 | (192) all_0_22_22 = e0
% 13.48/3.70 | (193) ~ (all_0_19_19 = e1)
% 13.48/3.70 |
% 13.48/3.70 | Equations (192) can reduce 683 to:
% 13.48/3.70 | (186) $false
% 13.48/3.70 |
% 13.48/3.70 |-The branch is then unsatisfiable
% 13.48/3.70 % SZS output end Proof for theBenchmark
% 13.48/3.70
% 13.48/3.70 3082ms
%------------------------------------------------------------------------------