TSTP Solution File: ALG054+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG054+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 15:33:55 EDT 2022
% Result : Theorem 4.59s 1.49s
% Output : Proof 7.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG054+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.10 % Command : ePrincess-casc -timeout=%d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Thu Jun 9 03:03:52 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.49 ____ _
% 0.14/0.49 ___ / __ \_____(_)___ ________ __________
% 0.14/0.49 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.14/0.49 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.14/0.49 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.14/0.49
% 0.14/0.49 A Theorem Prover for First-Order Logic
% 0.14/0.49 (ePrincess v.1.0)
% 0.14/0.49
% 0.14/0.49 (c) Philipp Rümmer, 2009-2015
% 0.14/0.49 (c) Peter Backeman, 2014-2015
% 0.14/0.50 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.14/0.50 Free software under GNU Lesser General Public License (LGPL).
% 0.14/0.50 Bug reports to peter@backeman.se
% 0.14/0.50
% 0.14/0.50 For more information, visit http://user.uu.se/~petba168/breu/
% 0.14/0.50
% 0.14/0.50 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.14/0.54 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.16/0.96 Prover 0: Preprocessing ...
% 3.59/1.31 Prover 0: Constructing countermodel ...
% 4.59/1.49 Prover 0: proved (946ms)
% 4.59/1.49
% 4.59/1.49 No countermodel exists, formula is valid
% 4.59/1.49 % SZS status Theorem for theBenchmark
% 4.59/1.49
% 4.59/1.49 Generating proof ... found it (size 354)
% 6.74/1.99
% 6.74/1.99 % SZS output start Proof for theBenchmark
% 6.74/1.99 Assumed formulas after preprocessing and simplification:
% 6.74/1.99 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v11) & ~ (v15 = v3) & ~ (v15 = e4) & ~ (v15 = e3) & ~ (v15 = e2) & ~ (v14 = v13) & ~ (v14 = v9) & ~ (v14 = v6) & ~ (v14 = v1) & ~ (v14 = e4) & ~ (v14 = e2) & ~ (v13 = v8) & ~ (v13 = v5) & ~ (v13 = v0) & ~ (v13 = e4) & ~ (v13 = e2) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v8) & ~ (v12 = v7) & ~ (v12 = v4) & ~ (v12 = e2) & ~ (v12 = e1) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v3) & ~ (v11 = e3) & ~ (v11 = e2) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v2) & ~ (v10 = e4) & ~ (v10 = e3) & ~ (v10 = e0) & ~ (v9 = v8) & ~ (v9 = v6) & ~ (v9 = v1) & ~ (v9 = e4) & ~ (v8 = v5) & ~ (v8 = v0) & ~ (v8 = e2) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = e3) & ~ (v7 = e2) & ~ (v7 = e1) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v6 = e4) & ~ (v6 = e3) & ~ (v6 = e2) & ~ (v5 = v0) & ~ (v5 = e3) & ~ (v5 = e2) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v4 = e2) & ~ (v4 = e1) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e3) & ~ (v3 = e2) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e4) & ~ (v2 = e3) & ~ (v2 = e0) & ~ (v1 = v0) & ~ (v1 = e4) & ~ (v0 = e2) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = e2 & op(e4, e3) = v15 & op(e4, e2) = e4 & op(e4, e1) = v14 & op(e4, e0) = v13 & op(e3, unit) = e3 & op(e3, e4) = v12 & op(e3, e3) = v11 & op(e3, e2) = v10 & op(e3, e1) = v9 & op(e3, e0) = v8 & op(e2, unit) = e2 & op(e2, e4) = v7 & op(e2, e3) = e2 & op(e2, e2) = e3 & op(e2, e1) = v6 & op(e2, e0) = v5 & op(e1, unit) = e1 & op(e1, e4) = e1 & op(e1, e3) = e3 & op(e1, e2) = e0 & op(e1, e1) = e4 & op(e1, e0) = e2 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (op(v19, v18) = v17) | ~ (op(v19, v18) = v16)) & ( ~ (v11 = e4) | v12 = e3) & ( ~ (v11 = e1) | v9 = e3) & ( ~ (v11 = e0) | v8 = e3) & ( ~ (v0 = e4) | v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e1) | v1 = e0) & (v15 = e1 | v15 = e0) & (v15 = e1 | v14 = e1 | v13 = e1) & (v15 = e1 | v11 = e1 | v3 = e1) & (v15 = e0 | v14 = e0 | v13 = e0) & (v15 = e0 | v11 = e0 | v3 = e0) & (v14 = e3 | v14 = e1 | v14 = e0) & (v14 = e3 | v13 = e3) & (v14 = e3 | v9 = e3 | v1 = e3) & (v14 = e1 | v9 = e1 | v6 = e1 | v1 = e1) & (v14 = e0 | v9 = e0 | v6 = e0 | v1 = e0) & (v13 = e3 | v13 = e1 | v13 = e0) & (v13 = e3 | v8 = e3 | v0 = e3) & (v13 = e1 | v8 = e1 | v5 = e1 | v0 = e1) & (v13 = e0 | v8 = e0 | v5 = e0 | v0 = e0) & (v12 = e4 | v12 = e3 | v12 = e0) & (v12 = e4 | v11 = e4 | v8 = e4) & (v12 = e4 | v7 = e4 | v4 = e4) & (v12 = e3 | v9 = e3 | v8 = e3) & (v12 = e3 | v4 = e3) & (v12 = e0 | v11 = e0 | v9 = e0 | v8 = e0) & (v12 = e0 | v7 = e0 | v4 = e0) & (v11 = e4 | v11 = e1 | v11 = e0) & (v11 = e4 | v3 = e4) & (v11 = e1 | v10 = e1 | v9 = e1 | v8 = e1) & (v11 = e1 | v0 = e1) & (v11 = e0 | v0 = e0) & (v10 = e2 | v10 = e1) & (v10 = e2 | v9 = e2) & (v10 = e2 | v2 = e2) & (v10 = e1 | v2 = e1) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v9 = e2 | v1 = e2) & (v8 = e4 | v8 = e3 | v8 = e1 | v8 = e0) & (v8 = e4 | v5 = e4 | v0 = e4) & (v7 = e4 | v7 = e0) & (v7 = e4 | v5 = e4) & (v7 = e0 | v6 = e0 | v5 = e0) & (v6 = e1 | v6 = e0) & (v6 = e1 | v5 = e1) & (v5 = e4 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4 = e0) & (v4 = e4 | v3 = e4 | v0 = e4) & (v4 = e3 | v1 = e3 | v0 = e3) & (v4 = e0 | v3 = e0 | v1 = e0 | v0 = e0) & (v3 = e4 | v3 = e1 | v3 = e0) & (v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v2 = e2 | v2 = e1) & (v2 = e2 | v1 = e2) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e1 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0))
% 6.74/2.03 | 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 yields:
% 6.74/2.03 | (1) ~ (all_0_0_0 = all_0_1_1) & ~ (all_0_0_0 = all_0_2_2) & ~ (all_0_0_0 = all_0_4_4) & ~ (all_0_0_0 = all_0_12_12) & ~ (all_0_0_0 = e4) & ~ (all_0_0_0 = e3) & ~ (all_0_0_0 = e2) & ~ (all_0_1_1 = all_0_2_2) & ~ (all_0_1_1 = all_0_6_6) & ~ (all_0_1_1 = all_0_9_9) & ~ (all_0_1_1 = all_0_14_14) & ~ (all_0_1_1 = e4) & ~ (all_0_1_1 = e2) & ~ (all_0_2_2 = all_0_7_7) & ~ (all_0_2_2 = all_0_10_10) & ~ (all_0_2_2 = all_0_15_15) & ~ (all_0_2_2 = e4) & ~ (all_0_2_2 = e2) & ~ (all_0_3_3 = all_0_4_4) & ~ (all_0_3_3 = all_0_5_5) & ~ (all_0_3_3 = all_0_6_6) & ~ (all_0_3_3 = all_0_7_7) & ~ (all_0_3_3 = all_0_8_8) & ~ (all_0_3_3 = all_0_11_11) & ~ (all_0_3_3 = e2) & ~ (all_0_3_3 = e1) & ~ (all_0_4_4 = all_0_5_5) & ~ (all_0_4_4 = all_0_6_6) & ~ (all_0_4_4 = all_0_7_7) & ~ (all_0_4_4 = all_0_12_12) & ~ (all_0_4_4 = e3) & ~ (all_0_4_4 = e2) & ~ (all_0_5_5 = all_0_6_6) & ~ (all_0_5_5 = all_0_7_7) & ~ (all_0_5_5 = all_0_13_13) & ~ (all_0_5_5 = e4) & ~ (all_0_5_5 = e3) & ~ (all_0_5_5 = e0) & ~ (all_0_6_6 = all_0_7_7) & ~ (all_0_6_6 = all_0_9_9) & ~ (all_0_6_6 = all_0_14_14) & ~ (all_0_6_6 = e4) & ~ (all_0_7_7 = all_0_10_10) & ~ (all_0_7_7 = all_0_15_15) & ~ (all_0_7_7 = e2) & ~ (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 = e3) & ~ (all_0_8_8 = e2) & ~ (all_0_8_8 = e1) & ~ (all_0_9_9 = all_0_10_10) & ~ (all_0_9_9 = all_0_14_14) & ~ (all_0_9_9 = e4) & ~ (all_0_9_9 = e3) & ~ (all_0_9_9 = e2) & ~ (all_0_10_10 = all_0_15_15) & ~ (all_0_10_10 = e3) & ~ (all_0_10_10 = e2) & ~ (all_0_11_11 = all_0_12_12) & ~ (all_0_11_11 = all_0_13_13) & ~ (all_0_11_11 = all_0_14_14) & ~ (all_0_11_11 = all_0_15_15) & ~ (all_0_11_11 = e2) & ~ (all_0_11_11 = e1) & ~ (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 = e3) & ~ (all_0_12_12 = e2) & ~ (all_0_13_13 = all_0_14_14) & ~ (all_0_13_13 = all_0_15_15) & ~ (all_0_13_13 = e4) & ~ (all_0_13_13 = e3) & ~ (all_0_13_13 = e0) & ~ (all_0_14_14 = all_0_15_15) & ~ (all_0_14_14 = e4) & ~ (all_0_15_15 = e2) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = e2 & op(e4, e3) = all_0_0_0 & op(e4, e2) = e4 & op(e4, e1) = all_0_1_1 & op(e4, e0) = all_0_2_2 & op(e3, unit) = e3 & op(e3, e4) = all_0_3_3 & op(e3, e3) = all_0_4_4 & op(e3, e2) = all_0_5_5 & op(e3, e1) = all_0_6_6 & op(e3, e0) = all_0_7_7 & op(e2, unit) = e2 & op(e2, e4) = all_0_8_8 & op(e2, e3) = e2 & op(e2, e2) = e3 & op(e2, e1) = all_0_9_9 & op(e2, e0) = all_0_10_10 & op(e1, unit) = e1 & op(e1, e4) = e1 & op(e1, e3) = e3 & op(e1, e2) = e0 & op(e1, e1) = e4 & op(e1, e0) = e2 & op(e0, unit) = e0 & op(e0, e4) = all_0_11_11 & op(e0, e3) = all_0_12_12 & op(e0, e2) = all_0_13_13 & op(e0, e1) = all_0_14_14 & op(e0, e0) = all_0_15_15 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_4_4 = e4) | all_0_3_3 = e3) & ( ~ (all_0_4_4 = e1) | all_0_6_6 = e3) & ( ~ (all_0_4_4 = e0) | all_0_7_7 = e3) & ( ~ (all_0_15_15 = e4) | all_0_11_11 = e0) & ( ~ (all_0_15_15 = e3) | all_0_12_12 = e0) & ( ~ (all_0_15_15 = e1) | all_0_14_14 = e0) & (all_0_0_0 = e1 | all_0_0_0 = e0) & (all_0_0_0 = e1 | all_0_1_1 = e1 | all_0_2_2 = e1) & (all_0_0_0 = e1 | all_0_4_4 = e1 | all_0_12_12 = e1) & (all_0_0_0 = e0 | all_0_1_1 = e0 | all_0_2_2 = e0) & (all_0_0_0 = e0 | all_0_4_4 = e0 | all_0_12_12 = e0) & (all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0) & (all_0_1_1 = e3 | all_0_2_2 = e3) & (all_0_1_1 = e3 | all_0_6_6 = e3 | all_0_14_14 = e3) & (all_0_1_1 = e1 | all_0_6_6 = e1 | all_0_9_9 = e1 | all_0_14_14 = e1) & (all_0_1_1 = e0 | all_0_6_6 = e0 | all_0_9_9 = e0 | all_0_14_14 = e0) & (all_0_2_2 = e3 | all_0_2_2 = e1 | all_0_2_2 = e0) & (all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_15_15 = e3) & (all_0_2_2 = e1 | all_0_7_7 = e1 | all_0_10_10 = e1 | all_0_15_15 = e1) & (all_0_2_2 = e0 | all_0_7_7 = e0 | all_0_10_10 = e0 | all_0_15_15 = e0) & (all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0) & (all_0_3_3 = e4 | all_0_4_4 = e4 | all_0_7_7 = e4) & (all_0_3_3 = e4 | all_0_8_8 = e4 | all_0_11_11 = e4) & (all_0_3_3 = e3 | all_0_6_6 = e3 | all_0_7_7 = e3) & (all_0_3_3 = e3 | all_0_11_11 = e3) & (all_0_3_3 = e0 | all_0_4_4 = e0 | all_0_6_6 = e0 | all_0_7_7 = e0) & (all_0_3_3 = e0 | all_0_8_8 = e0 | all_0_11_11 = e0) & (all_0_4_4 = e4 | all_0_4_4 = e1 | all_0_4_4 = e0) & (all_0_4_4 = e4 | all_0_12_12 = e4) & (all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_6_6 = e1 | all_0_7_7 = e1) & (all_0_4_4 = e1 | all_0_15_15 = e1) & (all_0_4_4 = e0 | all_0_15_15 = e0) & (all_0_5_5 = e2 | all_0_5_5 = e1) & (all_0_5_5 = e2 | all_0_6_6 = e2) & (all_0_5_5 = e2 | all_0_13_13 = e2) & (all_0_5_5 = e1 | all_0_13_13 = e1) & (all_0_6_6 = e3 | all_0_6_6 = e2 | all_0_6_6 = e1 | all_0_6_6 = e0) & (all_0_6_6 = e2 | all_0_14_14 = e2) & (all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1 | all_0_7_7 = e0) & (all_0_7_7 = e4 | all_0_10_10 = e4 | all_0_15_15 = e4) & (all_0_8_8 = e4 | all_0_8_8 = e0) & (all_0_8_8 = e4 | all_0_10_10 = e4) & (all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_10_10 = e0) & (all_0_9_9 = e1 | all_0_9_9 = e0) & (all_0_9_9 = e1 | all_0_10_10 = e1) & (all_0_10_10 = e4 | all_0_10_10 = e1 | all_0_10_10 = e0) & (all_0_11_11 = e4 | all_0_11_11 = e3 | all_0_11_11 = e0) & (all_0_11_11 = e4 | all_0_12_12 = e4 | all_0_15_15 = e4) & (all_0_11_11 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3) & (all_0_11_11 = e0 | all_0_12_12 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0) & (all_0_12_12 = e4 | all_0_12_12 = e1 | all_0_12_12 = e0) & (all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1) & (all_0_13_13 = e2 | all_0_13_13 = e1) & (all_0_13_13 = e2 | all_0_14_14 = e2) & (all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0) & (all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1 | all_0_15_15 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0)
% 6.74/2.05 |
% 6.74/2.05 | Applying alpha-rule on (1) yields:
% 6.74/2.05 | (2) all_0_4_4 = e0 | all_0_15_15 = e0
% 6.74/2.05 | (3) ~ (all_0_1_1 = all_0_6_6)
% 6.74/2.05 | (4) ~ (all_0_15_15 = e2)
% 6.74/2.05 | (5) ~ (all_0_6_6 = all_0_7_7)
% 6.74/2.05 | (6) all_0_1_1 = e0 | all_0_6_6 = e0 | all_0_9_9 = e0 | all_0_14_14 = e0
% 6.74/2.05 | (7) ~ (all_0_15_15 = e3) | all_0_12_12 = e0
% 6.74/2.05 | (8) ~ (all_0_0_0 = all_0_2_2)
% 6.74/2.05 | (9) ~ (all_0_13_13 = all_0_15_15)
% 6.74/2.05 | (10) op(e1, e1) = e4
% 6.74/2.05 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 6.74/2.05 | (12) op(e0, e0) = all_0_15_15
% 6.74/2.05 | (13) all_0_10_10 = e4 | all_0_10_10 = e1 | all_0_10_10 = e0
% 6.74/2.05 | (14) op(e2, unit) = e2
% 6.74/2.06 | (15) ~ (all_0_11_11 = all_0_14_14)
% 6.74/2.06 | (16) all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0
% 6.74/2.06 | (17) all_0_3_3 = e3 | all_0_6_6 = e3 | all_0_7_7 = e3
% 6.74/2.06 | (18) op(e2, e3) = e2
% 6.74/2.06 | (19) op(e0, e2) = all_0_13_13
% 6.74/2.06 | (20) all_0_11_11 = e4 | all_0_11_11 = e3 | all_0_11_11 = e0
% 6.74/2.06 | (21) op(e2, e0) = all_0_10_10
% 6.74/2.06 | (22) all_0_12_12 = e4 | all_0_12_12 = e1 | all_0_12_12 = e0
% 6.74/2.06 | (23) ~ (all_0_7_7 = all_0_10_10)
% 6.74/2.06 | (24) op(unit, e4) = e4
% 6.74/2.06 | (25) op(e1, e0) = e2
% 6.74/2.06 | (26) ~ (all_0_2_2 = e4)
% 6.74/2.06 | (27) ~ (all_0_4_4 = all_0_6_6)
% 6.74/2.06 | (28) ~ (all_0_7_7 = e2)
% 6.74/2.06 | (29) ~ (all_0_14_14 = e4)
% 6.74/2.06 | (30) all_0_11_11 = e0 | all_0_12_12 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0
% 6.74/2.06 | (31) ~ (all_0_5_5 = all_0_7_7)
% 6.74/2.06 | (32) ~ (all_0_5_5 = e4)
% 6.74/2.06 | (33) ~ (all_0_11_11 = e1)
% 6.74/2.06 | (34) ~ (all_0_0_0 = all_0_1_1)
% 6.74/2.06 | (35) op(e2, e2) = e3
% 6.74/2.06 | (36) ~ (all_0_9_9 = e4)
% 6.74/2.06 | (37) all_0_1_1 = e3 | all_0_6_6 = e3 | all_0_14_14 = e3
% 6.74/2.06 | (38) ~ (all_0_3_3 = all_0_5_5)
% 6.74/2.06 | (39) ~ (e4 = e2)
% 6.74/2.06 | (40) ~ (e4 = e0)
% 6.74/2.06 | (41) ~ (all_0_4_4 = e4) | all_0_3_3 = e3
% 6.74/2.06 | (42) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 6.74/2.06 | (43) ~ (all_0_3_3 = all_0_6_6)
% 6.74/2.06 | (44) all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_10_10 = e0
% 6.74/2.06 | (45) all_0_11_11 = e4 | all_0_12_12 = e4 | all_0_15_15 = e4
% 6.74/2.06 | (46) op(unit, e3) = e3
% 6.74/2.06 | (47) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1 | all_0_7_7 = e0
% 6.74/2.06 | (48) ~ (all_0_1_1 = e4)
% 6.74/2.06 | (49) all_0_9_9 = e1 | all_0_9_9 = e0
% 6.74/2.06 | (50) ~ (all_0_2_2 = all_0_15_15)
% 6.74/2.06 | (51) ~ (all_0_7_7 = all_0_15_15)
% 6.74/2.06 | (52) op(e3, e4) = all_0_3_3
% 6.74/2.06 | (53) op(e3, e2) = all_0_5_5
% 6.74/2.06 | (54) ~ (all_0_4_4 = e1) | all_0_6_6 = e3
% 6.74/2.06 | (55) ~ (e3 = e0)
% 6.74/2.06 | (56) all_0_6_6 = e3 | all_0_6_6 = e2 | all_0_6_6 = e1 | all_0_6_6 = e0
% 6.74/2.06 | (57) op(e0, unit) = e0
% 6.74/2.06 | (58) ~ (all_0_3_3 = all_0_7_7)
% 6.74/2.06 | (59) all_0_6_6 = e2 | all_0_14_14 = e2
% 6.74/2.06 | (60) all_0_3_3 = e4 | all_0_8_8 = e4 | all_0_11_11 = e4
% 6.74/2.06 | (61) ~ (all_0_1_1 = all_0_14_14)
% 6.74/2.07 | (62) ~ (all_0_11_11 = all_0_13_13)
% 6.74/2.07 | (63) all_0_4_4 = e4 | all_0_12_12 = e4
% 6.74/2.07 | (64) ~ (all_0_3_3 = e1)
% 6.74/2.07 | (65) ~ (all_0_9_9 = all_0_10_10)
% 6.74/2.07 | (66) all_0_4_4 = e1 | all_0_15_15 = e1
% 6.74/2.07 | (67) ~ (all_0_1_1 = e2)
% 6.74/2.07 | (68) ~ (all_0_5_5 = e3)
% 6.74/2.07 | (69) ~ (all_0_15_15 = e1) | all_0_14_14 = e0
% 6.74/2.07 | (70) op(e4, e2) = e4
% 6.74/2.07 | (71) op(e4, e1) = all_0_1_1
% 6.74/2.07 | (72) ~ (all_0_0_0 = all_0_4_4)
% 7.19/2.07 | (73) all_0_3_3 = e0 | all_0_8_8 = e0 | all_0_11_11 = e0
% 7.19/2.07 | (74) op(e0, e4) = all_0_11_11
% 7.19/2.07 | (75) all_0_8_8 = e4 | all_0_8_8 = e0
% 7.19/2.07 | (76) all_0_1_1 = e3 | all_0_2_2 = e3
% 7.19/2.07 | (77) all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1
% 7.19/2.07 | (78) ~ (all_0_4_4 = all_0_12_12)
% 7.19/2.07 | (79) op(e1, e3) = e3
% 7.19/2.07 | (80) ~ (all_0_12_12 = all_0_13_13)
% 7.19/2.07 | (81) all_0_5_5 = e2 | all_0_13_13 = e2
% 7.19/2.07 | (82) ~ (all_0_11_11 = e2)
% 7.19/2.07 | (83) all_0_13_13 = e2 | all_0_14_14 = e2
% 7.19/2.07 | (84) ~ (all_0_6_6 = all_0_9_9)
% 7.19/2.07 | (85) ~ (e4 = e1)
% 7.19/2.07 | (86) op(e1, unit) = e1
% 7.19/2.07 | (87) ~ (all_0_5_5 = e0)
% 7.19/2.07 | (88) all_0_13_13 = e2 | all_0_13_13 = e1
% 7.19/2.07 | (89) ~ (all_0_13_13 = all_0_14_14)
% 7.19/2.07 | (90) all_0_0_0 = e0 | all_0_1_1 = e0 | all_0_2_2 = e0
% 7.19/2.07 | (91) ~ (all_0_2_2 = e2)
% 7.19/2.07 | (92) ~ (e2 = e1)
% 7.19/2.07 | (93) all_0_9_9 = e1 | all_0_10_10 = e1
% 7.19/2.07 | (94) ~ (all_0_1_1 = all_0_9_9)
% 7.19/2.07 | (95) all_0_7_7 = e4 | all_0_10_10 = e4 | all_0_15_15 = e4
% 7.19/2.07 | (96) ~ (all_0_14_14 = all_0_15_15)
% 7.19/2.07 | (97) ~ (all_0_8_8 = all_0_9_9)
% 7.19/2.07 | (98) ~ (all_0_12_12 = all_0_14_14)
% 7.19/2.07 | (99) ~ (all_0_5_5 = all_0_6_6)
% 7.19/2.07 | (100) ~ (e2 = e0)
% 7.19/2.07 | (101) ~ (all_0_1_1 = all_0_2_2)
% 7.19/2.07 | (102) ~ (all_0_4_4 = all_0_7_7)
% 7.19/2.07 | (103) ~ (all_0_11_11 = all_0_12_12)
% 7.19/2.07 | (104) ~ (all_0_13_13 = e0)
% 7.19/2.07 | (105) ~ (all_0_8_8 = e1)
% 7.19/2.07 | (106) all_0_3_3 = e3 | all_0_11_11 = e3
% 7.19/2.07 | (107) ~ (all_0_15_15 = e4) | all_0_11_11 = e0
% 7.19/2.07 | (108) ~ (all_0_9_9 = e2)
% 7.19/2.07 | (109) ~ (all_0_3_3 = all_0_8_8)
% 7.19/2.07 | (110) op(unit, e1) = e1
% 7.19/2.07 | (111) ~ (all_0_0_0 = e4)
% 7.19/2.07 | (112) all_0_0_0 = e1 | all_0_0_0 = e0
% 7.19/2.07 | (113) op(e1, e2) = e0
% 7.19/2.07 | (114) all_0_5_5 = e1 | all_0_13_13 = e1
% 7.19/2.08 | (115) ~ (all_0_10_10 = e2)
% 7.19/2.08 | (116) ~ (all_0_9_9 = all_0_14_14)
% 7.19/2.08 | (117) ~ (all_0_10_10 = all_0_15_15)
% 7.19/2.08 | (118) all_0_1_1 = e3 | all_0_1_1 = e1 | all_0_1_1 = e0
% 7.19/2.08 | (119) ~ (all_0_6_6 = e4)
% 7.19/2.08 | (120) ~ (all_0_0_0 = all_0_12_12)
% 7.19/2.08 | (121) op(e1, e4) = e1
% 7.19/2.08 | (122) all_0_5_5 = e2 | all_0_5_5 = e1
% 7.19/2.08 | (123) ~ (all_0_2_2 = all_0_7_7)
% 7.19/2.08 | (124) op(e0, e3) = all_0_12_12
% 7.19/2.08 | (125) all_0_5_5 = e2 | all_0_6_6 = e2
% 7.19/2.08 | (126) ~ (all_0_4_4 = e0) | all_0_7_7 = e3
% 7.19/2.08 | (127) ~ (all_0_9_9 = e3)
% 7.19/2.08 | (128) ~ (all_0_3_3 = all_0_4_4)
% 7.19/2.08 | (129) op(e3, e0) = all_0_7_7
% 7.19/2.08 | (130) all_0_1_1 = e1 | all_0_6_6 = e1 | all_0_9_9 = e1 | all_0_14_14 = e1
% 7.19/2.08 | (131) all_0_8_8 = e4 | all_0_10_10 = e4
% 7.19/2.08 | (132) all_0_4_4 = e4 | all_0_4_4 = e1 | all_0_4_4 = e0
% 7.19/2.08 | (133) ~ (all_0_8_8 = all_0_10_10)
% 7.19/2.08 | (134) ~ (all_0_8_8 = e2)
% 7.19/2.08 | (135) ~ (all_0_12_12 = e3)
% 7.19/2.08 | (136) all_0_2_2 = e3 | all_0_7_7 = e3 | all_0_15_15 = e3
% 7.19/2.08 | (137) ~ (e4 = e3)
% 7.19/2.08 | (138) all_0_3_3 = e4 | all_0_3_3 = e3 | all_0_3_3 = e0
% 7.19/2.08 | (139) all_0_3_3 = e4 | all_0_4_4 = e4 | all_0_7_7 = e4
% 7.19/2.08 | (140) all_0_4_4 = e1 | all_0_5_5 = e1 | all_0_6_6 = e1 | all_0_7_7 = e1
% 7.19/2.08 | (141) all_0_2_2 = e0 | all_0_7_7 = e0 | all_0_10_10 = e0 | all_0_15_15 = e0
% 7.19/2.08 | (142) ~ (all_0_10_10 = e3)
% 7.19/2.08 | (143) ~ (all_0_3_3 = e2)
% 7.19/2.08 | (144) ~ (all_0_12_12 = e2)
% 7.19/2.08 | (145) ~ (all_0_8_8 = e3)
% 7.19/2.08 | (146) op(e3, e1) = all_0_6_6
% 7.19/2.08 | (147) ~ (all_0_4_4 = e2)
% 7.19/2.08 | (148) op(e4, e0) = all_0_2_2
% 7.19/2.08 | (149) all_0_11_11 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3
% 7.19/2.08 | (150) op(e4, unit) = e4
% 7.19/2.08 | (151) ~ (all_0_11_11 = all_0_15_15)
% 7.19/2.08 | (152) ~ (e3 = e2)
% 7.19/2.08 | (153) ~ (all_0_3_3 = all_0_11_11)
% 7.19/2.08 | (154) ~ (e3 = e1)
% 7.19/2.08 | (155) op(e3, e3) = all_0_4_4
% 7.19/2.08 | (156) ~ (all_0_13_13 = e4)
% 7.19/2.08 | (157) ~ (all_0_8_8 = all_0_11_11)
% 7.19/2.08 | (158) op(e2, e1) = all_0_9_9
% 7.19/2.08 | (159) op(unit, e0) = e0
% 7.19/2.08 | (160) all_0_0_0 = e1 | all_0_1_1 = e1 | all_0_2_2 = e1
% 7.19/2.08 | (161) ~ (all_0_2_2 = all_0_10_10)
% 7.19/2.08 | (162) all_0_2_2 = e3 | all_0_2_2 = e1 | all_0_2_2 = e0
% 7.19/2.08 | (163) ~ (e1 = e0)
% 7.19/2.08 | (164) ~ (all_0_4_4 = all_0_5_5)
% 7.19/2.08 | (165) ~ (all_0_4_4 = e3)
% 7.19/2.08 | (166) ~ (all_0_5_5 = all_0_13_13)
% 7.19/2.08 | (167) all_0_0_0 = e1 | all_0_4_4 = e1 | all_0_12_12 = e1
% 7.19/2.08 | (168) ~ (all_0_13_13 = e3)
% 7.19/2.08 | (169) ~ (all_0_0_0 = e2)
% 7.19/2.08 | (170) all_0_2_2 = e1 | all_0_7_7 = e1 | all_0_10_10 = e1 | all_0_15_15 = e1
% 7.19/2.08 | (171) ~ (all_0_0_0 = e3)
% 7.19/2.08 | (172) op(e4, e4) = e2
% 7.19/2.08 | (173) all_0_15_15 = e4 | all_0_15_15 = e3 | all_0_15_15 = e1 | all_0_15_15 = e0
% 7.19/2.08 | (174) op(e4, e3) = all_0_0_0
% 7.19/2.08 | (175) op(unit, e2) = e2
% 7.19/2.08 | (176) ~ (all_0_12_12 = all_0_15_15)
% 7.19/2.08 | (177) op(e2, e4) = all_0_8_8
% 7.19/2.08 | (178) op(e3, unit) = e3
% 7.19/2.08 | (179) all_0_0_0 = e0 | all_0_4_4 = e0 | all_0_12_12 = e0
% 7.19/2.08 | (180) all_0_3_3 = e0 | all_0_4_4 = e0 | all_0_6_6 = e0 | all_0_7_7 = e0
% 7.19/2.09 | (181) op(e0, e1) = all_0_14_14
% 7.19/2.09 | (182) ~ (all_0_6_6 = all_0_14_14)
% 7.19/2.09 |
% 7.19/2.09 +-Applying beta-rule and splitting (126), into two cases.
% 7.19/2.09 |-Branch one:
% 7.19/2.09 | (183) ~ (all_0_4_4 = e0)
% 7.19/2.09 |
% 7.19/2.09 +-Applying beta-rule and splitting (2), into two cases.
% 7.19/2.09 |-Branch one:
% 7.19/2.09 | (184) all_0_4_4 = e0
% 7.19/2.09 |
% 7.19/2.09 | Equations (184) can reduce 183 to:
% 7.19/2.09 | (185) $false
% 7.19/2.09 |
% 7.19/2.09 |-The branch is then unsatisfiable
% 7.19/2.09 |-Branch two:
% 7.19/2.09 | (183) ~ (all_0_4_4 = e0)
% 7.19/2.09 | (187) all_0_15_15 = e0
% 7.19/2.09 |
% 7.19/2.09 | Equations (187) can reduce 51 to:
% 7.19/2.09 | (188) ~ (all_0_7_7 = e0)
% 7.19/2.09 |
% 7.19/2.09 | Equations (187) can reduce 117 to:
% 7.19/2.09 | (189) ~ (all_0_10_10 = e0)
% 7.19/2.09 |
% 7.19/2.09 +-Applying beta-rule and splitting (66), into two cases.
% 7.19/2.09 |-Branch one:
% 7.19/2.09 | (190) all_0_4_4 = e1
% 7.19/2.09 |
% 7.19/2.09 | Equations (190) can reduce 72 to:
% 7.19/2.09 | (191) ~ (all_0_0_0 = e1)
% 7.19/2.09 |
% 7.19/2.09 | Equations (190) can reduce 128 to:
% 7.19/2.09 | (64) ~ (all_0_3_3 = e1)
% 7.19/2.09 |
% 7.19/2.09 | Equations (190) can reduce 164 to:
% 7.19/2.09 | (193) ~ (all_0_5_5 = e1)
% 7.19/2.09 |
% 7.29/2.09 | Simplifying 193 yields:
% 7.29/2.09 | (194) ~ (all_0_5_5 = e1)
% 7.29/2.09 |
% 7.29/2.09 +-Applying beta-rule and splitting (112), into two cases.
% 7.29/2.09 |-Branch one:
% 7.29/2.09 | (195) all_0_0_0 = e0
% 7.29/2.09 |
% 7.29/2.09 | Equations (195) can reduce 8 to:
% 7.29/2.09 | (196) ~ (all_0_2_2 = e0)
% 7.29/2.09 |
% 7.29/2.09 | Simplifying 196 yields:
% 7.29/2.09 | (197) ~ (all_0_2_2 = e0)
% 7.29/2.09 |
% 7.29/2.09 | Equations (195) can reduce 120 to:
% 7.29/2.09 | (198) ~ (all_0_12_12 = e0)
% 7.29/2.09 |
% 7.29/2.09 | Simplifying 198 yields:
% 7.29/2.09 | (199) ~ (all_0_12_12 = e0)
% 7.29/2.09 |
% 7.29/2.09 | Equations (195) can reduce 191 to:
% 7.29/2.09 | (200) ~ (e1 = e0)
% 7.29/2.09 |
% 7.29/2.09 | Simplifying 200 yields:
% 7.29/2.09 | (163) ~ (e1 = e0)
% 7.29/2.09 |
% 7.29/2.09 +-Applying beta-rule and splitting (122), into two cases.
% 7.29/2.09 |-Branch one:
% 7.29/2.09 | (202) all_0_5_5 = e1
% 7.29/2.09 |
% 7.29/2.09 | Equations (202) can reduce 194 to:
% 7.29/2.09 | (185) $false
% 7.29/2.09 |
% 7.29/2.09 |-The branch is then unsatisfiable
% 7.29/2.09 |-Branch two:
% 7.29/2.09 | (194) ~ (all_0_5_5 = e1)
% 7.29/2.09 | (205) all_0_5_5 = e2
% 7.29/2.09 |
% 7.29/2.09 | Equations (205) can reduce 38 to:
% 7.29/2.09 | (143) ~ (all_0_3_3 = e2)
% 7.29/2.09 |
% 7.29/2.09 | Equations (205) can reduce 166 to:
% 7.29/2.09 | (207) ~ (all_0_13_13 = e2)
% 7.29/2.09 |
% 7.29/2.09 | Simplifying 207 yields:
% 7.29/2.09 | (208) ~ (all_0_13_13 = e2)
% 7.29/2.09 |
% 7.29/2.09 +-Applying beta-rule and splitting (83), into two cases.
% 7.29/2.09 |-Branch one:
% 7.29/2.09 | (209) all_0_13_13 = e2
% 7.29/2.09 |
% 7.29/2.09 | Equations (209) can reduce 208 to:
% 7.29/2.09 | (185) $false
% 7.29/2.09 |
% 7.29/2.09 |-The branch is then unsatisfiable
% 7.29/2.09 |-Branch two:
% 7.29/2.09 | (208) ~ (all_0_13_13 = e2)
% 7.29/2.09 | (212) all_0_14_14 = e2
% 7.29/2.09 |
% 7.29/2.09 | Equations (212) can reduce 61 to:
% 7.29/2.09 | (67) ~ (all_0_1_1 = e2)
% 7.29/2.09 |
% 7.29/2.09 | From (212) and (181) follows:
% 7.29/2.09 | (214) op(e0, e1) = e2
% 7.29/2.09 |
% 7.29/2.09 +-Applying beta-rule and splitting (54), into two cases.
% 7.29/2.09 |-Branch one:
% 7.29/2.09 | (215) ~ (all_0_4_4 = e1)
% 7.29/2.09 |
% 7.29/2.09 | Equations (190) can reduce 215 to:
% 7.29/2.09 | (185) $false
% 7.29/2.09 |
% 7.29/2.09 |-The branch is then unsatisfiable
% 7.29/2.09 |-Branch two:
% 7.29/2.09 | (190) all_0_4_4 = e1
% 7.29/2.09 | (218) all_0_6_6 = e3
% 7.29/2.09 |
% 7.29/2.09 | Equations (218) can reduce 3 to:
% 7.29/2.09 | (219) ~ (all_0_1_1 = e3)
% 7.29/2.09 |
% 7.29/2.09 | Equations (218) can reduce 84 to:
% 7.29/2.09 | (220) ~ (all_0_9_9 = e3)
% 7.29/2.09 |
% 7.29/2.09 | Simplifying 220 yields:
% 7.29/2.09 | (127) ~ (all_0_9_9 = e3)
% 7.29/2.09 |
% 7.29/2.09 +-Applying beta-rule and splitting (76), into two cases.
% 7.29/2.09 |-Branch one:
% 7.29/2.09 | (222) all_0_1_1 = e3
% 7.29/2.09 |
% 7.29/2.09 | Equations (222) can reduce 219 to:
% 7.29/2.09 | (185) $false
% 7.29/2.09 |
% 7.29/2.09 |-The branch is then unsatisfiable
% 7.29/2.09 |-Branch two:
% 7.29/2.09 | (219) ~ (all_0_1_1 = e3)
% 7.29/2.09 | (225) all_0_2_2 = e3
% 7.29/2.09 |
% 7.29/2.09 | Equations (225) can reduce 123 to:
% 7.29/2.09 | (226) ~ (all_0_7_7 = e3)
% 7.29/2.09 |
% 7.29/2.09 | Simplifying 226 yields:
% 7.29/2.09 | (227) ~ (all_0_7_7 = e3)
% 7.29/2.09 |
% 7.29/2.09 | Equations (225) can reduce 91 to:
% 7.29/2.09 | (152) ~ (e3 = e2)
% 7.29/2.09 |
% 7.29/2.09 | Equations (225) can reduce 197 to:
% 7.29/2.09 | (55) ~ (e3 = e0)
% 7.29/2.09 |
% 7.29/2.09 +-Applying beta-rule and splitting (63), into two cases.
% 7.29/2.09 |-Branch one:
% 7.29/2.09 | (230) all_0_4_4 = e4
% 7.29/2.09 |
% 7.29/2.09 | Combining equations (190,230) yields a new equation:
% 7.29/2.09 | (231) e4 = e1
% 7.29/2.09 |
% 7.29/2.09 | Equations (231) can reduce 85 to:
% 7.29/2.09 | (185) $false
% 7.29/2.09 |
% 7.29/2.09 |-The branch is then unsatisfiable
% 7.29/2.09 |-Branch two:
% 7.29/2.09 | (233) ~ (all_0_4_4 = e4)
% 7.29/2.09 | (234) all_0_12_12 = e4
% 7.29/2.09 |
% 7.29/2.09 | Equations (234) can reduce 80 to:
% 7.29/2.09 | (235) ~ (all_0_13_13 = e4)
% 7.29/2.09 |
% 7.29/2.09 | Simplifying 235 yields:
% 7.29/2.09 | (156) ~ (all_0_13_13 = e4)
% 7.29/2.09 |
% 7.29/2.09 | Equations (234) can reduce 199 to:
% 7.29/2.09 | (40) ~ (e4 = e0)
% 7.29/2.09 |
% 7.29/2.09 +-Applying beta-rule and splitting (149), into two cases.
% 7.29/2.09 |-Branch one:
% 7.29/2.09 | (238) all_0_11_11 = e3
% 7.29/2.09 |
% 7.29/2.10 | Equations (238) can reduce 153 to:
% 7.29/2.10 | (239) ~ (all_0_3_3 = e3)
% 7.29/2.10 |
% 7.29/2.10 | Equations (238) can reduce 33 to:
% 7.29/2.10 | (154) ~ (e3 = e1)
% 7.29/2.10 |
% 7.29/2.10 | From (238) and (74) follows:
% 7.29/2.10 | (241) op(e0, e4) = e3
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (160), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (242) all_0_0_0 = e1
% 7.29/2.10 |
% 7.29/2.10 | Combining equations (242,195) yields a new equation:
% 7.29/2.10 | (243) e1 = e0
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 243 yields:
% 7.29/2.10 | (244) e1 = e0
% 7.29/2.10 |
% 7.29/2.10 | Equations (244) can reduce 163 to:
% 7.29/2.10 | (185) $false
% 7.29/2.10 |
% 7.29/2.10 |-The branch is then unsatisfiable
% 7.29/2.10 |-Branch two:
% 7.29/2.10 | (191) ~ (all_0_0_0 = e1)
% 7.29/2.10 | (247) all_0_1_1 = e1 | all_0_2_2 = e1
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (247), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (248) all_0_1_1 = e1
% 7.29/2.10 |
% 7.29/2.10 | Equations (248) can reduce 94 to:
% 7.29/2.10 | (249) ~ (all_0_9_9 = e1)
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 249 yields:
% 7.29/2.10 | (250) ~ (all_0_9_9 = e1)
% 7.29/2.10 |
% 7.29/2.10 | Equations (248) can reduce 67 to:
% 7.29/2.10 | (251) ~ (e2 = e1)
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 251 yields:
% 7.29/2.10 | (92) ~ (e2 = e1)
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (114), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (202) all_0_5_5 = e1
% 7.29/2.10 |
% 7.29/2.10 | Combining equations (205,202) yields a new equation:
% 7.29/2.10 | (254) e2 = e1
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 254 yields:
% 7.29/2.10 | (255) e2 = e1
% 7.29/2.10 |
% 7.29/2.10 | Equations (255) can reduce 92 to:
% 7.29/2.10 | (185) $false
% 7.29/2.10 |
% 7.29/2.10 |-The branch is then unsatisfiable
% 7.29/2.10 |-Branch two:
% 7.29/2.10 | (194) ~ (all_0_5_5 = e1)
% 7.29/2.10 | (258) all_0_13_13 = e1
% 7.29/2.10 |
% 7.29/2.10 | Equations (258) can reduce 156 to:
% 7.29/2.10 | (259) ~ (e4 = e1)
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 259 yields:
% 7.29/2.10 | (85) ~ (e4 = e1)
% 7.29/2.10 |
% 7.29/2.10 | From (258) and (19) follows:
% 7.29/2.10 | (261) op(e0, e2) = e1
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (93), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (262) all_0_9_9 = e1
% 7.29/2.10 |
% 7.29/2.10 | Equations (262) can reduce 250 to:
% 7.29/2.10 | (185) $false
% 7.29/2.10 |
% 7.29/2.10 |-The branch is then unsatisfiable
% 7.29/2.10 |-Branch two:
% 7.29/2.10 | (250) ~ (all_0_9_9 = e1)
% 7.29/2.10 | (265) all_0_10_10 = e1
% 7.29/2.10 |
% 7.29/2.10 | Equations (265) can reduce 23 to:
% 7.29/2.10 | (266) ~ (all_0_7_7 = e1)
% 7.29/2.10 |
% 7.29/2.10 | Equations (265) can reduce 115 to:
% 7.29/2.10 | (251) ~ (e2 = e1)
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 251 yields:
% 7.29/2.10 | (92) ~ (e2 = e1)
% 7.29/2.10 |
% 7.29/2.10 | Equations (265) can reduce 189 to:
% 7.29/2.10 | (163) ~ (e1 = e0)
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (131), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (270) all_0_8_8 = e4
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (44), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (271) all_0_8_8 = e0
% 7.29/2.10 |
% 7.29/2.10 | Combining equations (270,271) yields a new equation:
% 7.29/2.10 | (272) e4 = e0
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 272 yields:
% 7.29/2.10 | (273) e4 = e0
% 7.29/2.10 |
% 7.29/2.10 | Equations (273) can reduce 40 to:
% 7.29/2.10 | (185) $false
% 7.29/2.10 |
% 7.29/2.10 |-The branch is then unsatisfiable
% 7.29/2.10 |-Branch two:
% 7.29/2.10 | (275) ~ (all_0_8_8 = e0)
% 7.29/2.10 | (276) all_0_9_9 = e0 | all_0_10_10 = e0
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (276), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (277) all_0_9_9 = e0
% 7.29/2.10 |
% 7.29/2.10 | Equations (277) can reduce 127 to:
% 7.29/2.10 | (278) ~ (e3 = e0)
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 278 yields:
% 7.29/2.10 | (55) ~ (e3 = e0)
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (73), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (280) all_0_3_3 = e0
% 7.29/2.10 |
% 7.29/2.10 | Equations (280) can reduce 239 to:
% 7.29/2.10 | (278) ~ (e3 = e0)
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 278 yields:
% 7.29/2.10 | (55) ~ (e3 = e0)
% 7.29/2.10 |
% 7.29/2.10 | Equations (280) can reduce 143 to:
% 7.29/2.10 | (283) ~ (e2 = e0)
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 283 yields:
% 7.29/2.10 | (100) ~ (e2 = e0)
% 7.29/2.10 |
% 7.29/2.10 | Equations (280) can reduce 64 to:
% 7.29/2.10 | (200) ~ (e1 = e0)
% 7.29/2.10 |
% 7.29/2.10 | Simplifying 200 yields:
% 7.29/2.10 | (163) ~ (e1 = e0)
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (42), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (287) unit = e0
% 7.29/2.10 |
% 7.29/2.10 | From (287) and (110) follows:
% 7.29/2.10 | (288) op(e0, e1) = e1
% 7.29/2.10 |
% 7.29/2.10 | Instantiating formula (11) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields:
% 7.29/2.10 | (255) e2 = e1
% 7.29/2.10 |
% 7.29/2.10 | Equations (255) can reduce 92 to:
% 7.29/2.10 | (185) $false
% 7.29/2.10 |
% 7.29/2.10 |-The branch is then unsatisfiable
% 7.29/2.10 |-Branch two:
% 7.29/2.10 | (291) ~ (unit = e0)
% 7.29/2.10 | (292) unit = e4 | unit = e3 | unit = e2 | unit = e1
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (292), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (293) unit = e1
% 7.29/2.10 |
% 7.29/2.10 | From (293) and (57) follows:
% 7.29/2.10 | (294) op(e0, e1) = e0
% 7.29/2.10 |
% 7.29/2.10 | Instantiating formula (11) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields:
% 7.29/2.10 | (295) e2 = e0
% 7.29/2.10 |
% 7.29/2.10 | Equations (295) can reduce 100 to:
% 7.29/2.10 | (185) $false
% 7.29/2.10 |
% 7.29/2.10 |-The branch is then unsatisfiable
% 7.29/2.10 |-Branch two:
% 7.29/2.10 | (297) ~ (unit = e1)
% 7.29/2.10 | (298) unit = e4 | unit = e3 | unit = e2
% 7.29/2.10 |
% 7.29/2.10 +-Applying beta-rule and splitting (298), into two cases.
% 7.29/2.10 |-Branch one:
% 7.29/2.10 | (299) unit = e3
% 7.29/2.10 |
% 7.29/2.10 | Equations (299) can reduce 297 to:
% 7.29/2.10 | (154) ~ (e3 = e1)
% 7.29/2.10 |
% 7.29/2.10 | From (299) and (86) follows:
% 7.29/2.10 | (301) op(e1, e3) = e1
% 7.29/2.10 |
% 7.29/2.10 | Instantiating formula (11) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 7.29/2.10 | (302) e3 = e1
% 7.29/2.10 |
% 7.29/2.10 | Equations (302) can reduce 154 to:
% 7.29/2.10 | (185) $false
% 7.29/2.10 |
% 7.29/2.10 |-The branch is then unsatisfiable
% 7.29/2.10 |-Branch two:
% 7.29/2.10 | (304) ~ (unit = e3)
% 7.29/2.11 | (305) unit = e4 | unit = e2
% 7.29/2.11 |
% 7.29/2.11 +-Applying beta-rule and splitting (305), into two cases.
% 7.29/2.11 |-Branch one:
% 7.29/2.11 | (306) unit = e4
% 7.29/2.11 |
% 7.29/2.11 | From (306) and (57) follows:
% 7.29/2.11 | (307) op(e0, e4) = e0
% 7.29/2.11 |
% 7.29/2.11 | Instantiating formula (11) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields:
% 7.29/2.11 | (308) e3 = e0
% 7.29/2.11 |
% 7.29/2.11 | Equations (308) can reduce 55 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (310) ~ (unit = e4)
% 7.29/2.11 | (311) unit = e2
% 7.29/2.11 |
% 7.29/2.11 | From (311) and (57) follows:
% 7.29/2.11 | (312) op(e0, e2) = e0
% 7.29/2.11 |
% 7.29/2.11 | Instantiating formula (11) with e0, e2, e0, e1 and discharging atoms op(e0, e2) = e1, op(e0, e2) = e0, yields:
% 7.29/2.11 | (244) e1 = e0
% 7.29/2.11 |
% 7.29/2.11 | Equations (244) can reduce 163 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (315) ~ (all_0_3_3 = e0)
% 7.29/2.11 | (316) all_0_8_8 = e0 | all_0_11_11 = e0
% 7.29/2.11 |
% 7.29/2.11 +-Applying beta-rule and splitting (95), into two cases.
% 7.29/2.11 |-Branch one:
% 7.29/2.11 | (317) all_0_7_7 = e4
% 7.29/2.11 |
% 7.29/2.11 | Equations (317) can reduce 188 to:
% 7.29/2.11 | (40) ~ (e4 = e0)
% 7.29/2.11 |
% 7.29/2.11 +-Applying beta-rule and splitting (316), into two cases.
% 7.29/2.11 |-Branch one:
% 7.29/2.11 | (271) all_0_8_8 = e0
% 7.29/2.11 |
% 7.29/2.11 | Combining equations (270,271) yields a new equation:
% 7.29/2.11 | (272) e4 = e0
% 7.29/2.11 |
% 7.29/2.11 | Simplifying 272 yields:
% 7.29/2.11 | (273) e4 = e0
% 7.29/2.11 |
% 7.29/2.11 | Equations (273) can reduce 40 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (275) ~ (all_0_8_8 = e0)
% 7.29/2.11 | (324) all_0_11_11 = e0
% 7.29/2.11 |
% 7.29/2.11 | Combining equations (238,324) yields a new equation:
% 7.29/2.11 | (325) e3 = e0
% 7.29/2.11 |
% 7.29/2.11 | Simplifying 325 yields:
% 7.29/2.11 | (308) e3 = e0
% 7.29/2.11 |
% 7.29/2.11 | Equations (308) can reduce 55 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (328) ~ (all_0_7_7 = e4)
% 7.29/2.11 | (329) all_0_10_10 = e4 | all_0_15_15 = e4
% 7.29/2.11 |
% 7.29/2.11 +-Applying beta-rule and splitting (47), into two cases.
% 7.29/2.11 |-Branch one:
% 7.29/2.11 | (330) all_0_7_7 = e0
% 7.29/2.11 |
% 7.29/2.11 | Equations (330) can reduce 188 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (188) ~ (all_0_7_7 = e0)
% 7.29/2.11 | (333) all_0_7_7 = e4 | all_0_7_7 = e3 | all_0_7_7 = e1
% 7.29/2.11 |
% 7.29/2.11 +-Applying beta-rule and splitting (333), into two cases.
% 7.29/2.11 |-Branch one:
% 7.29/2.11 | (334) all_0_7_7 = e1
% 7.29/2.11 |
% 7.29/2.11 | Equations (334) can reduce 266 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (266) ~ (all_0_7_7 = e1)
% 7.29/2.11 | (337) all_0_7_7 = e4 | all_0_7_7 = e3
% 7.29/2.11 |
% 7.29/2.11 +-Applying beta-rule and splitting (337), into two cases.
% 7.29/2.11 |-Branch one:
% 7.29/2.11 | (338) all_0_7_7 = e3
% 7.29/2.11 |
% 7.29/2.11 | Equations (338) can reduce 227 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (227) ~ (all_0_7_7 = e3)
% 7.29/2.11 | (317) all_0_7_7 = e4
% 7.29/2.11 |
% 7.29/2.11 | Equations (317) can reduce 328 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (343) ~ (all_0_9_9 = e0)
% 7.29/2.11 | (344) all_0_10_10 = e0
% 7.29/2.11 |
% 7.29/2.11 | Combining equations (265,344) yields a new equation:
% 7.29/2.11 | (243) e1 = e0
% 7.29/2.11 |
% 7.29/2.11 | Simplifying 243 yields:
% 7.29/2.11 | (244) e1 = e0
% 7.29/2.11 |
% 7.29/2.11 | Equations (244) can reduce 163 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (348) ~ (all_0_8_8 = e4)
% 7.29/2.11 | (349) all_0_10_10 = e4
% 7.29/2.11 |
% 7.29/2.11 | Combining equations (265,349) yields a new equation:
% 7.29/2.11 | (231) e4 = e1
% 7.29/2.11 |
% 7.29/2.11 | Equations (231) can reduce 85 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (352) ~ (all_0_1_1 = e1)
% 7.29/2.11 | (353) all_0_2_2 = e1
% 7.29/2.11 |
% 7.29/2.11 | Combining equations (353,225) yields a new equation:
% 7.29/2.11 | (302) e3 = e1
% 7.29/2.11 |
% 7.29/2.11 | Equations (302) can reduce 154 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (356) ~ (all_0_11_11 = e3)
% 7.29/2.11 | (357) all_0_14_14 = e3 | all_0_15_15 = e3
% 7.29/2.11 |
% 7.29/2.11 +-Applying beta-rule and splitting (357), into two cases.
% 7.29/2.11 |-Branch one:
% 7.29/2.11 | (358) all_0_14_14 = e3
% 7.29/2.11 |
% 7.29/2.11 | Combining equations (212,358) yields a new equation:
% 7.29/2.11 | (359) e3 = e2
% 7.29/2.11 |
% 7.29/2.11 | Equations (359) can reduce 152 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (361) ~ (all_0_14_14 = e3)
% 7.29/2.11 | (362) all_0_15_15 = e3
% 7.29/2.11 |
% 7.29/2.11 | Combining equations (362,187) yields a new equation:
% 7.29/2.11 | (325) e3 = e0
% 7.29/2.11 |
% 7.29/2.11 | Simplifying 325 yields:
% 7.29/2.11 | (308) e3 = e0
% 7.29/2.11 |
% 7.29/2.11 | Equations (308) can reduce 55 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (366) ~ (all_0_0_0 = e0)
% 7.29/2.11 | (242) all_0_0_0 = e1
% 7.29/2.11 |
% 7.29/2.11 | Equations (242) can reduce 191 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (215) ~ (all_0_4_4 = e1)
% 7.29/2.11 | (370) all_0_15_15 = e1
% 7.29/2.11 |
% 7.29/2.11 | Combining equations (370,187) yields a new equation:
% 7.29/2.11 | (243) e1 = e0
% 7.29/2.11 |
% 7.29/2.11 | Simplifying 243 yields:
% 7.29/2.11 | (244) e1 = e0
% 7.29/2.11 |
% 7.29/2.11 | Equations (244) can reduce 163 to:
% 7.29/2.11 | (185) $false
% 7.29/2.11 |
% 7.29/2.11 |-The branch is then unsatisfiable
% 7.29/2.11 |-Branch two:
% 7.29/2.11 | (184) all_0_4_4 = e0
% 7.29/2.12 | (338) all_0_7_7 = e3
% 7.29/2.12 |
% 7.29/2.12 | Equations (184) can reduce 72 to:
% 7.29/2.12 | (366) ~ (all_0_0_0 = e0)
% 7.29/2.12 |
% 7.29/2.12 | Equations (338) can reduce 123 to:
% 7.29/2.12 | (377) ~ (all_0_2_2 = e3)
% 7.29/2.12 |
% 7.29/2.12 | Equations (184) can reduce 78 to:
% 7.29/2.12 | (198) ~ (all_0_12_12 = e0)
% 7.29/2.12 |
% 7.29/2.12 | Simplifying 198 yields:
% 7.29/2.12 | (199) ~ (all_0_12_12 = e0)
% 7.29/2.12 |
% 7.29/2.12 | Equations (338) can reduce 51 to:
% 7.29/2.12 | (380) ~ (all_0_15_15 = e3)
% 7.29/2.12 |
% 7.29/2.12 | Simplifying 380 yields:
% 7.29/2.12 | (381) ~ (all_0_15_15 = e3)
% 7.29/2.12 |
% 7.29/2.12 | From (338) and (129) follows:
% 7.29/2.12 | (382) op(e3, e0) = e3
% 7.29/2.12 |
% 7.29/2.12 +-Applying beta-rule and splitting (63), into two cases.
% 7.29/2.12 |-Branch one:
% 7.29/2.12 | (230) all_0_4_4 = e4
% 7.29/2.12 |
% 7.29/2.12 | Combining equations (230,184) yields a new equation:
% 7.29/2.12 | (272) e4 = e0
% 7.29/2.12 |
% 7.29/2.12 | Simplifying 272 yields:
% 7.29/2.12 | (273) e4 = e0
% 7.29/2.12 |
% 7.42/2.12 | Equations (273) can reduce 40 to:
% 7.42/2.12 | (185) $false
% 7.42/2.12 |
% 7.42/2.12 |-The branch is then unsatisfiable
% 7.42/2.12 |-Branch two:
% 7.42/2.12 | (233) ~ (all_0_4_4 = e4)
% 7.42/2.12 | (234) all_0_12_12 = e4
% 7.42/2.12 |
% 7.42/2.12 | Equations (234) can reduce 103 to:
% 7.42/2.12 | (389) ~ (all_0_11_11 = e4)
% 7.42/2.12 |
% 7.42/2.12 | Equations (234) can reduce 199 to:
% 7.42/2.12 | (40) ~ (e4 = e0)
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (76), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (222) all_0_1_1 = e3
% 7.42/2.12 |
% 7.42/2.12 | Equations (222) can reduce 61 to:
% 7.42/2.12 | (392) ~ (all_0_14_14 = e3)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 392 yields:
% 7.42/2.12 | (361) ~ (all_0_14_14 = e3)
% 7.42/2.12 |
% 7.42/2.12 | From (222) and (71) follows:
% 7.42/2.12 | (394) op(e4, e1) = e3
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (149), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (238) all_0_11_11 = e3
% 7.42/2.12 |
% 7.42/2.12 | Equations (238) can reduce 15 to:
% 7.42/2.12 | (392) ~ (all_0_14_14 = e3)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 392 yields:
% 7.42/2.12 | (361) ~ (all_0_14_14 = e3)
% 7.42/2.12 |
% 7.42/2.12 | Equations (238) can reduce 151 to:
% 7.42/2.12 | (380) ~ (all_0_15_15 = e3)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 380 yields:
% 7.42/2.12 | (381) ~ (all_0_15_15 = e3)
% 7.42/2.12 |
% 7.42/2.12 | Equations (238) can reduce 389 to:
% 7.42/2.12 | (400) ~ (e4 = e3)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 400 yields:
% 7.42/2.12 | (137) ~ (e4 = e3)
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (139), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (402) all_0_3_3 = e4
% 7.42/2.12 |
% 7.42/2.12 | Equations (402) can reduce 109 to:
% 7.42/2.12 | (403) ~ (all_0_8_8 = e4)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 403 yields:
% 7.42/2.12 | (348) ~ (all_0_8_8 = e4)
% 7.42/2.12 |
% 7.42/2.12 | From (402) and (52) follows:
% 7.42/2.12 | (405) op(e3, e4) = e4
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (112), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (195) all_0_0_0 = e0
% 7.42/2.12 |
% 7.42/2.12 | Equations (195) can reduce 366 to:
% 7.42/2.12 | (185) $false
% 7.42/2.12 |
% 7.42/2.12 |-The branch is then unsatisfiable
% 7.42/2.12 |-Branch two:
% 7.42/2.12 | (366) ~ (all_0_0_0 = e0)
% 7.42/2.12 | (242) all_0_0_0 = e1
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (75), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (271) all_0_8_8 = e0
% 7.42/2.12 |
% 7.42/2.12 | Equations (271) can reduce 97 to:
% 7.42/2.12 | (411) ~ (all_0_9_9 = e0)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 411 yields:
% 7.42/2.12 | (343) ~ (all_0_9_9 = e0)
% 7.42/2.12 |
% 7.42/2.12 | Equations (271) can reduce 348 to:
% 7.42/2.12 | (413) ~ (e4 = e0)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 413 yields:
% 7.42/2.12 | (40) ~ (e4 = e0)
% 7.42/2.12 |
% 7.42/2.12 | From (271) and (177) follows:
% 7.42/2.12 | (415) op(e2, e4) = e0
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (49), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (277) all_0_9_9 = e0
% 7.42/2.12 |
% 7.42/2.12 | Equations (277) can reduce 343 to:
% 7.42/2.12 | (185) $false
% 7.42/2.12 |
% 7.42/2.12 |-The branch is then unsatisfiable
% 7.42/2.12 |-Branch two:
% 7.42/2.12 | (343) ~ (all_0_9_9 = e0)
% 7.42/2.12 | (262) all_0_9_9 = e1
% 7.42/2.12 |
% 7.42/2.12 | Equations (262) can reduce 84 to:
% 7.42/2.12 | (420) ~ (all_0_6_6 = e1)
% 7.42/2.12 |
% 7.42/2.12 | Equations (262) can reduce 343 to:
% 7.42/2.12 | (163) ~ (e1 = e0)
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (131), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (270) all_0_8_8 = e4
% 7.42/2.12 |
% 7.42/2.12 | Combining equations (271,270) yields a new equation:
% 7.42/2.12 | (273) e4 = e0
% 7.42/2.12 |
% 7.42/2.12 | Equations (273) can reduce 40 to:
% 7.42/2.12 | (185) $false
% 7.42/2.12 |
% 7.42/2.12 |-The branch is then unsatisfiable
% 7.42/2.12 |-Branch two:
% 7.42/2.12 | (348) ~ (all_0_8_8 = e4)
% 7.42/2.12 | (349) all_0_10_10 = e4
% 7.42/2.12 |
% 7.42/2.12 | From (349) and (21) follows:
% 7.42/2.12 | (427) op(e2, e0) = e4
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (66), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (190) all_0_4_4 = e1
% 7.42/2.12 |
% 7.42/2.12 | Combining equations (190,184) yields a new equation:
% 7.42/2.12 | (243) e1 = e0
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 243 yields:
% 7.42/2.12 | (244) e1 = e0
% 7.42/2.12 |
% 7.42/2.12 | Equations (244) can reduce 163 to:
% 7.42/2.12 | (185) $false
% 7.42/2.12 |
% 7.42/2.12 |-The branch is then unsatisfiable
% 7.42/2.12 |-Branch two:
% 7.42/2.12 | (215) ~ (all_0_4_4 = e1)
% 7.42/2.12 | (370) all_0_15_15 = e1
% 7.42/2.12 |
% 7.42/2.12 | Equations (370) can reduce 50 to:
% 7.42/2.12 | (434) ~ (all_0_2_2 = e1)
% 7.42/2.12 |
% 7.42/2.12 | Equations (184) can reduce 215 to:
% 7.42/2.12 | (200) ~ (e1 = e0)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 200 yields:
% 7.42/2.12 | (163) ~ (e1 = e0)
% 7.42/2.12 |
% 7.42/2.12 | Equations (370) can reduce 96 to:
% 7.42/2.12 | (437) ~ (all_0_14_14 = e1)
% 7.42/2.12 |
% 7.42/2.12 | Equations (370) can reduce 381 to:
% 7.42/2.12 | (438) ~ (e3 = e1)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 438 yields:
% 7.42/2.12 | (154) ~ (e3 = e1)
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (140), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (190) all_0_4_4 = e1
% 7.42/2.12 |
% 7.42/2.12 | Combining equations (190,184) yields a new equation:
% 7.42/2.12 | (243) e1 = e0
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 243 yields:
% 7.42/2.12 | (244) e1 = e0
% 7.42/2.12 |
% 7.42/2.12 | Equations (244) can reduce 163 to:
% 7.42/2.12 | (185) $false
% 7.42/2.12 |
% 7.42/2.12 |-The branch is then unsatisfiable
% 7.42/2.12 |-Branch two:
% 7.42/2.12 | (215) ~ (all_0_4_4 = e1)
% 7.42/2.12 | (445) all_0_5_5 = e1 | all_0_6_6 = e1 | all_0_7_7 = e1
% 7.42/2.12 |
% 7.42/2.12 +-Applying beta-rule and splitting (445), into two cases.
% 7.42/2.12 |-Branch one:
% 7.42/2.12 | (202) all_0_5_5 = e1
% 7.42/2.12 |
% 7.42/2.12 | Equations (202) can reduce 166 to:
% 7.42/2.12 | (447) ~ (all_0_13_13 = e1)
% 7.42/2.12 |
% 7.42/2.12 | Simplifying 447 yields:
% 7.42/2.12 | (448) ~ (all_0_13_13 = e1)
% 7.42/2.12 |
% 7.42/2.12 | From (202) and (53) follows:
% 7.46/2.13 | (449) op(e3, e2) = e1
% 7.46/2.13 |
% 7.46/2.13 +-Applying beta-rule and splitting (69), into two cases.
% 7.46/2.13 |-Branch one:
% 7.46/2.13 | (450) ~ (all_0_15_15 = e1)
% 7.46/2.13 |
% 7.46/2.13 | Equations (370) can reduce 450 to:
% 7.46/2.13 | (185) $false
% 7.46/2.13 |
% 7.46/2.13 |-The branch is then unsatisfiable
% 7.46/2.13 |-Branch two:
% 7.46/2.13 | (370) all_0_15_15 = e1
% 7.46/2.13 | (453) all_0_14_14 = e0
% 7.46/2.13 |
% 7.46/2.13 | Equations (453) can reduce 361 to:
% 7.46/2.13 | (278) ~ (e3 = e0)
% 7.46/2.13 |
% 7.46/2.13 | Simplifying 278 yields:
% 7.46/2.13 | (55) ~ (e3 = e0)
% 7.46/2.13 |
% 7.46/2.13 | Equations (453) can reduce 437 to:
% 7.46/2.13 | (200) ~ (e1 = e0)
% 7.46/2.13 |
% 7.46/2.13 | Simplifying 200 yields:
% 7.46/2.13 | (163) ~ (e1 = e0)
% 7.46/2.13 |
% 7.46/2.13 +-Applying beta-rule and splitting (88), into two cases.
% 7.46/2.13 |-Branch one:
% 7.46/2.13 | (258) all_0_13_13 = e1
% 7.46/2.13 |
% 7.46/2.13 | Equations (258) can reduce 448 to:
% 7.46/2.13 | (185) $false
% 7.46/2.13 |
% 7.46/2.13 |-The branch is then unsatisfiable
% 7.46/2.13 |-Branch two:
% 7.46/2.13 | (448) ~ (all_0_13_13 = e1)
% 7.46/2.13 | (209) all_0_13_13 = e2
% 7.46/2.13 |
% 7.46/2.13 | From (209) and (19) follows:
% 7.46/2.13 | (462) op(e0, e2) = e2
% 7.46/2.13 |
% 7.46/2.13 +-Applying beta-rule and splitting (162), into two cases.
% 7.46/2.13 |-Branch one:
% 7.46/2.13 | (463) all_0_2_2 = e0
% 7.46/2.13 |
% 7.46/2.13 | Equations (463) can reduce 91 to:
% 7.46/2.13 | (283) ~ (e2 = e0)
% 7.46/2.13 |
% 7.46/2.13 | Simplifying 283 yields:
% 7.46/2.13 | (100) ~ (e2 = e0)
% 7.46/2.13 |
% 7.46/2.13 | Equations (463) can reduce 434 to:
% 7.46/2.13 | (200) ~ (e1 = e0)
% 7.46/2.13 |
% 7.46/2.13 | Simplifying 200 yields:
% 7.46/2.13 | (163) ~ (e1 = e0)
% 7.46/2.13 |
% 7.46/2.13 | From (463) and (148) follows:
% 7.46/2.13 | (468) op(e4, e0) = e0
% 7.46/2.13 |
% 7.46/2.13 +-Applying beta-rule and splitting (59), into two cases.
% 7.46/2.13 |-Branch one:
% 7.46/2.13 | (469) all_0_6_6 = e2
% 7.46/2.13 |
% 7.46/2.13 | From (469) and (146) follows:
% 7.46/2.13 | (470) op(e3, e1) = e2
% 7.46/2.13 |
% 7.46/2.13 +-Applying beta-rule and splitting (42), into two cases.
% 7.46/2.13 |-Branch one:
% 7.46/2.13 | (287) unit = e0
% 7.46/2.13 |
% 7.46/2.13 | From (287) and (150) follows:
% 7.46/2.13 | (472) op(e4, e0) = e4
% 7.46/2.13 |
% 7.46/2.13 | From (287) and (14) follows:
% 7.46/2.13 | (473) op(e2, e0) = e2
% 7.46/2.13 |
% 7.46/2.13 | From (287) and (86) follows:
% 7.46/2.13 | (474) op(e1, e0) = e1
% 7.46/2.13 |
% 7.46/2.13 | Instantiating formula (11) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields:
% 7.46/2.13 | (273) e4 = e0
% 7.46/2.13 |
% 7.46/2.13 | Instantiating formula (11) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields:
% 7.46/2.13 | (476) e4 = e2
% 7.46/2.13 |
% 7.46/2.13 | Instantiating formula (11) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields:
% 7.46/2.13 | (255) e2 = e1
% 7.46/2.13 |
% 7.46/2.13 | Combining equations (273,476) yields a new equation:
% 7.46/2.13 | (295) e2 = e0
% 7.46/2.13 |
% 7.46/2.13 | Combining equations (295,255) yields a new equation:
% 7.46/2.13 | (244) e1 = e0
% 7.46/2.13 |
% 7.46/2.13 | Equations (244) can reduce 163 to:
% 7.46/2.13 | (185) $false
% 7.46/2.13 |
% 7.46/2.13 |-The branch is then unsatisfiable
% 7.46/2.13 |-Branch two:
% 7.46/2.13 | (291) ~ (unit = e0)
% 7.46/2.13 | (292) unit = e4 | unit = e3 | unit = e2 | unit = e1
% 7.46/2.13 |
% 7.46/2.13 +-Applying beta-rule and splitting (292), into two cases.
% 7.46/2.13 |-Branch one:
% 7.46/2.13 | (293) unit = e1
% 7.46/2.13 |
% 7.46/2.13 | Equations (293) can reduce 291 to:
% 7.46/2.13 | (163) ~ (e1 = e0)
% 7.46/2.13 |
% 7.46/2.13 | From (293) and (159) follows:
% 7.46/2.13 | (485) op(e1, e0) = e0
% 7.46/2.13 |
% 7.46/2.13 | From (293) and (150) follows:
% 7.46/2.13 | (486) op(e4, e1) = e4
% 7.46/2.13 |
% 7.46/2.13 | From (293) and (178) follows:
% 7.46/2.13 | (487) op(e3, e1) = e3
% 7.46/2.13 |
% 7.46/2.13 | From (293) and (86) follows:
% 7.46/2.13 | (488) op(e1, e1) = e1
% 7.46/2.13 |
% 7.46/2.13 | Instantiating formula (11) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields:
% 7.46/2.13 | (489) e4 = e3
% 7.46/2.13 |
% 7.46/2.13 | Instantiating formula (11) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields:
% 7.46/2.13 | (359) e3 = e2
% 7.46/2.13 |
% 7.46/2.13 | Instantiating formula (11) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields:
% 7.46/2.13 | (231) e4 = e1
% 7.46/2.13 |
% 7.46/2.13 | Instantiating formula (11) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields:
% 7.46/2.13 | (295) e2 = e0
% 7.46/2.13 |
% 7.46/2.13 | Combining equations (231,489) yields a new equation:
% 7.46/2.13 | (302) e3 = e1
% 7.46/2.13 |
% 7.46/2.13 | Combining equations (302,359) yields a new equation:
% 7.46/2.13 | (255) e2 = e1
% 7.46/2.13 |
% 7.46/2.13 | Combining equations (295,255) yields a new equation:
% 7.46/2.13 | (244) e1 = e0
% 7.46/2.13 |
% 7.46/2.13 | Equations (244) can reduce 163 to:
% 7.46/2.13 | (185) $false
% 7.46/2.13 |
% 7.46/2.13 |-The branch is then unsatisfiable
% 7.46/2.13 |-Branch two:
% 7.46/2.13 | (297) ~ (unit = e1)
% 7.46/2.13 | (298) unit = e4 | unit = e3 | unit = e2
% 7.46/2.13 |
% 7.46/2.13 +-Applying beta-rule and splitting (298), into two cases.
% 7.46/2.13 |-Branch one:
% 7.46/2.13 | (299) unit = e3
% 7.46/2.13 |
% 7.46/2.13 | From (299) and (159) follows:
% 7.46/2.13 | (500) op(e3, e0) = e0
% 7.46/2.13 |
% 7.46/2.13 | From (299) and (86) follows:
% 7.46/2.13 | (301) op(e1, e3) = e1
% 7.46/2.13 |
% 7.46/2.13 | Instantiating formula (11) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields:
% 7.46/2.13 | (308) e3 = e0
% 7.46/2.13 |
% 7.46/2.13 | Instantiating formula (11) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields:
% 7.46/2.14 | (302) e3 = e1
% 7.46/2.14 |
% 7.46/2.14 | Combining equations (302,308) yields a new equation:
% 7.46/2.14 | (243) e1 = e0
% 7.46/2.14 |
% 7.46/2.14 | Simplifying 243 yields:
% 7.46/2.14 | (244) e1 = e0
% 7.46/2.14 |
% 7.46/2.14 | Equations (244) can reduce 163 to:
% 7.46/2.14 | (185) $false
% 7.46/2.14 |
% 7.46/2.14 |-The branch is then unsatisfiable
% 7.46/2.14 |-Branch two:
% 7.46/2.14 | (304) ~ (unit = e3)
% 7.46/2.14 | (305) unit = e4 | unit = e2
% 7.46/2.14 |
% 7.46/2.14 +-Applying beta-rule and splitting (305), into two cases.
% 7.46/2.14 |-Branch one:
% 7.46/2.14 | (306) unit = e4
% 7.46/2.14 |
% 7.46/2.14 | From (306) and (175) follows:
% 7.46/2.14 | (510) op(e4, e2) = e2
% 7.46/2.14 |
% 7.46/2.14 | From (306) and (110) follows:
% 7.46/2.14 | (511) op(e4, e1) = e1
% 7.46/2.14 |
% 7.46/2.14 | From (306) and (178) follows:
% 7.46/2.14 | (512) op(e3, e4) = e3
% 7.46/2.14 |
% 7.46/2.14 | From (306) and (14) follows:
% 7.46/2.14 | (513) op(e2, e4) = e2
% 7.46/2.14 |
% 7.46/2.14 | Instantiating formula (11) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields:
% 7.46/2.14 | (476) e4 = e2
% 7.46/2.14 |
% 7.46/2.14 | Instantiating formula (11) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields:
% 7.46/2.14 | (302) e3 = e1
% 7.46/2.14 |
% 7.46/2.14 | Instantiating formula (11) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields:
% 7.46/2.14 | (489) e4 = e3
% 7.46/2.14 |
% 7.46/2.14 | Instantiating formula (11) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields:
% 7.46/2.14 | (295) e2 = e0
% 7.46/2.14 |
% 7.46/2.14 | Combining equations (489,476) yields a new equation:
% 7.46/2.14 | (518) e3 = e2
% 7.46/2.14 |
% 7.46/2.14 | Simplifying 518 yields:
% 7.46/2.14 | (359) e3 = e2
% 7.46/2.14 |
% 7.46/2.14 | Combining equations (359,302) yields a new equation:
% 7.46/2.14 | (254) e2 = e1
% 7.46/2.14 |
% 7.46/2.14 | Simplifying 254 yields:
% 7.46/2.14 | (255) e2 = e1
% 7.46/2.14 |
% 7.46/2.14 | Combining equations (255,295) yields a new equation:
% 7.46/2.14 | (243) e1 = e0
% 7.46/2.14 |
% 7.46/2.14 | Simplifying 243 yields:
% 7.46/2.14 | (244) e1 = e0
% 7.46/2.14 |
% 7.46/2.14 | Equations (244) can reduce 163 to:
% 7.46/2.14 | (185) $false
% 7.46/2.14 |
% 7.46/2.14 |-The branch is then unsatisfiable
% 7.46/2.14 |-Branch two:
% 7.46/2.14 | (310) ~ (unit = e4)
% 7.46/2.14 | (311) unit = e2
% 7.46/2.14 |
% 7.46/2.14 | From (311) and (178) follows:
% 7.46/2.14 | (527) op(e3, e2) = e3
% 7.46/2.14 |
% 7.46/2.14 | From (311) and (14) follows:
% 7.46/2.14 | (528) op(e2, e2) = e2
% 7.46/2.14 |
% 7.46/2.14 | From (311) and (57) follows:
% 7.46/2.14 | (312) op(e0, e2) = e0
% 7.46/2.14 |
% 7.46/2.14 | Instantiating formula (11) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields:
% 7.46/2.14 | (302) e3 = e1
% 7.46/2.14 |
% 7.46/2.14 | Instantiating formula (11) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields:
% 7.46/2.14 | (359) e3 = e2
% 7.46/2.14 |
% 7.46/2.14 | Instantiating formula (11) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields:
% 7.46/2.14 | (295) e2 = e0
% 7.46/2.14 |
% 7.46/2.14 | Combining equations (359,302) yields a new equation:
% 7.46/2.14 | (254) e2 = e1
% 7.46/2.14 |
% 7.46/2.14 | Simplifying 254 yields:
% 7.46/2.14 | (255) e2 = e1
% 7.46/2.14 |
% 7.46/2.14 | Combining equations (255,295) yields a new equation:
% 7.46/2.14 | (243) e1 = e0
% 7.46/2.14 |
% 7.46/2.14 | Simplifying 243 yields:
% 7.46/2.14 | (244) e1 = e0
% 7.46/2.14 |
% 7.46/2.14 | Equations (244) can reduce 163 to:
% 7.46/2.14 | (185) $false
% 7.46/2.14 |
% 7.46/2.14 |-The branch is then unsatisfiable
% 7.46/2.14 |-Branch two:
% 7.46/2.14 | (538) ~ (all_0_6_6 = e2)
% 7.46/2.14 | (212) all_0_14_14 = e2
% 7.46/2.14 |
% 7.46/2.14 | Combining equations (453,212) yields a new equation:
% 7.46/2.14 | (295) e2 = e0
% 7.46/2.14 |
% 7.46/2.14 | Equations (295) can reduce 100 to:
% 7.46/2.14 | (185) $false
% 7.46/2.14 |
% 7.46/2.14 |-The branch is then unsatisfiable
% 7.46/2.14 |-Branch two:
% 7.46/2.14 | (197) ~ (all_0_2_2 = e0)
% 7.46/2.14 | (543) all_0_2_2 = e3 | all_0_2_2 = e1
% 7.46/2.14 |
% 7.46/2.14 +-Applying beta-rule and splitting (90), into two cases.
% 7.46/2.14 |-Branch one:
% 7.46/2.14 | (195) all_0_0_0 = e0
% 7.46/2.14 |
% 7.46/2.14 | Combining equations (195,242) yields a new equation:
% 7.46/2.14 | (244) e1 = e0
% 7.46/2.14 |
% 7.46/2.14 | Equations (244) can reduce 163 to:
% 7.46/2.14 | (185) $false
% 7.46/2.14 |
% 7.46/2.14 |-The branch is then unsatisfiable
% 7.46/2.14 |-Branch two:
% 7.46/2.14 | (366) ~ (all_0_0_0 = e0)
% 7.46/2.14 | (548) all_0_1_1 = e0 | all_0_2_2 = e0
% 7.46/2.14 |
% 7.46/2.14 +-Applying beta-rule and splitting (548), into two cases.
% 7.46/2.14 |-Branch one:
% 7.46/2.14 | (549) all_0_1_1 = e0
% 7.46/2.14 |
% 7.46/2.14 | Combining equations (549,222) yields a new equation:
% 7.46/2.14 | (308) e3 = e0
% 7.46/2.14 |
% 7.46/2.14 | Equations (308) can reduce 55 to:
% 7.46/2.14 | (185) $false
% 7.46/2.14 |
% 7.46/2.14 |-The branch is then unsatisfiable
% 7.46/2.14 |-Branch two:
% 7.46/2.14 | (552) ~ (all_0_1_1 = e0)
% 7.46/2.14 | (463) all_0_2_2 = e0
% 7.46/2.14 |
% 7.46/2.14 | Equations (463) can reduce 197 to:
% 7.46/2.14 | (185) $false
% 7.46/2.14 |
% 7.46/2.14 |-The branch is then unsatisfiable
% 7.46/2.14 |-Branch two:
% 7.46/2.14 | (194) ~ (all_0_5_5 = e1)
% 7.46/2.14 | (556) all_0_6_6 = e1 | all_0_7_7 = e1
% 7.46/2.15 |
% 7.46/2.15 +-Applying beta-rule and splitting (556), into two cases.
% 7.46/2.15 |-Branch one:
% 7.46/2.15 | (557) all_0_6_6 = e1
% 7.46/2.15 |
% 7.46/2.15 | Equations (557) can reduce 420 to:
% 7.46/2.15 | (185) $false
% 7.46/2.15 |
% 7.46/2.15 |-The branch is then unsatisfiable
% 7.46/2.15 |-Branch two:
% 7.46/2.15 | (420) ~ (all_0_6_6 = e1)
% 7.46/2.15 | (334) all_0_7_7 = e1
% 7.46/2.15 |
% 7.46/2.15 | Combining equations (334,338) yields a new equation:
% 7.46/2.15 | (302) e3 = e1
% 7.46/2.15 |
% 7.46/2.15 | Equations (302) can reduce 154 to:
% 7.46/2.15 | (185) $false
% 7.46/2.15 |
% 7.46/2.15 |-The branch is then unsatisfiable
% 7.46/2.15 |-Branch two:
% 7.46/2.15 | (275) ~ (all_0_8_8 = e0)
% 7.46/2.15 | (270) all_0_8_8 = e4
% 7.46/2.15 |
% 7.46/2.15 | Equations (270) can reduce 348 to:
% 7.46/2.15 | (185) $false
% 7.46/2.15 |
% 7.46/2.15 |-The branch is then unsatisfiable
% 7.46/2.15 |-Branch two:
% 7.46/2.15 | (566) ~ (all_0_3_3 = e4)
% 7.46/2.15 | (567) all_0_4_4 = e4 | all_0_7_7 = e4
% 7.46/2.15 |
% 7.46/2.15 +-Applying beta-rule and splitting (567), into two cases.
% 7.46/2.15 |-Branch one:
% 7.46/2.15 | (230) all_0_4_4 = e4
% 7.46/2.15 |
% 7.46/2.15 | Combining equations (230,184) yields a new equation:
% 7.46/2.15 | (272) e4 = e0
% 7.46/2.15 |
% 7.46/2.15 | Simplifying 272 yields:
% 7.46/2.15 | (273) e4 = e0
% 7.46/2.15 |
% 7.46/2.15 | Equations (273) can reduce 40 to:
% 7.46/2.15 | (185) $false
% 7.46/2.15 |
% 7.46/2.15 |-The branch is then unsatisfiable
% 7.46/2.15 |-Branch two:
% 7.46/2.15 | (233) ~ (all_0_4_4 = e4)
% 7.46/2.15 | (317) all_0_7_7 = e4
% 7.46/2.15 |
% 7.46/2.15 | Combining equations (338,317) yields a new equation:
% 7.46/2.15 | (489) e4 = e3
% 7.46/2.15 |
% 7.46/2.15 | Equations (489) can reduce 137 to:
% 7.46/2.15 | (185) $false
% 7.46/2.15 |
% 7.46/2.15 |-The branch is then unsatisfiable
% 7.46/2.15 |-Branch two:
% 7.46/2.15 | (356) ~ (all_0_11_11 = e3)
% 7.46/2.15 | (357) all_0_14_14 = e3 | all_0_15_15 = e3
% 7.46/2.15 |
% 7.46/2.15 +-Applying beta-rule and splitting (357), into two cases.
% 7.46/2.15 |-Branch one:
% 7.46/2.15 | (358) all_0_14_14 = e3
% 7.46/2.15 |
% 7.46/2.15 | Equations (358) can reduce 361 to:
% 7.46/2.15 | (185) $false
% 7.46/2.15 |
% 7.46/2.15 |-The branch is then unsatisfiable
% 7.46/2.15 |-Branch two:
% 7.46/2.15 | (361) ~ (all_0_14_14 = e3)
% 7.46/2.15 | (362) all_0_15_15 = e3
% 7.46/2.15 |
% 7.46/2.15 | Equations (362) can reduce 381 to:
% 7.46/2.15 | (185) $false
% 7.46/2.15 |
% 7.46/2.15 |-The branch is then unsatisfiable
% 7.46/2.15 |-Branch two:
% 7.46/2.15 | (219) ~ (all_0_1_1 = e3)
% 7.46/2.15 | (225) all_0_2_2 = e3
% 7.46/2.15 |
% 7.46/2.15 | Equations (225) can reduce 377 to:
% 7.46/2.15 | (185) $false
% 7.46/2.15 |
% 7.46/2.15 |-The branch is then unsatisfiable
% 7.46/2.15 % SZS output end Proof for theBenchmark
% 7.46/2.15
% 7.46/2.15 1644ms
%------------------------------------------------------------------------------